Aser these 5 math questions for branliest and points

Aser These 5 Math Questions For Branliest And Points
Aser These 5 Math Questions For Branliest And Points
Aser These 5 Math Questions For Branliest And Points
Aser These 5 Math Questions For Branliest And Points
Aser These 5 Math Questions For Branliest And Points

Answers

Answer 1
1. To find the distance between two points in a coordinate plane, we can use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the given coordinates, we can plug them into the formula:

d = sqrt((-1 - 2)^2 + (-4 - 3)^2)
d = sqrt((-3)^2 + (-7)^2)
d = sqrt(9 + 49)
d = sqrt(58)

Therefore, the distance between (2,3) and (-1,-4) in simplest form is sqrt(58).

2. To find the distance between two points in a coordinate plane, we can use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the given coordinates, we can plug them into the formula:

d = sqrt((-2 - 4)^2 + (0 - (-3))^2)
d = sqrt((-6)^2 + (3)^2)
d = sqrt(36 + 9)
d = sqrt(45)
d = sqrt(9 x 5)

Therefore, the distance between (4,-3) and (-2,0) in simplest form is sqrt(45), which can also be written as 3sqrt(5).

3. To find the distance between two points in a coordinate plane, we can use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the given coordinates, we can plug them into the formula:

d = sqrt((-2 - (-7))^2 + (8 - (-4))^2)
d = sqrt((5)^2 + (12)^2)
d = sqrt(25 + 144)
d = sqrt(169)
d = 13

Therefore, the distance between (-7,-4) and (-2,8) in simplest form is 13.

4. To find the distance between two points in a coordinate plane, we can use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the given coordinates, we can plug them into the formula:

d = sqrt((-4 - 1)^2 + (-4 - 1)^2)
d = sqrt((-5)^2 + (-5)^2)
d = sqrt(25 + 25)
d = sqrt(50)
d = sqrt(25 x 2)

Therefore, the distance between (1,1) and (-4,-4) in simplest form is sqrt(50), which can also be written as 5sqrt(2).

5. To find the distance between two points in a coordinate plane, we can use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the given coordinates, we can plug them into the formula:

d = sqrt((1 - (-5))^2 + (-5 - 2)^2)
d = sqrt((1 + 5)^2 + (-7)^2)
d = sqrt(6^2 + (-7)^2)
d = sqrt(36 + 49)
d = sqrt(85)

Therefore, the distance between (-5,2) and (1,-5) in simplest form is sqrt(85).

Related Questions

Sarah wants to attend a private college with a yearly tuition of $31,000. Room and board costs are estimated to be $12,000 per year, and the cost of books and supplies is estimated to be $2,000. Assuming she receives no financial aid, how much will it cost her to get a four-year degree from this college?

Answers

Sarah wants to attend a private college with a yearly tuition of $31,000. Room and board costs are estimated to be $12,000 per year, and the cost of books and supplies is estimated to be $2,000. To calculate the total cost of her four-year degree, follow these steps:

1. Add the yearly costs together: $31,000 (tuition) + $12,000 (room and board) + $2,000 (books and supplies) = $45,000 per year.
2. Multiply the yearly cost by the number of years in the degree program: $45,000 * 4 = $180,000.

Assuming she receives no financial aid, it will cost Sarah $180,000 to get a four-year degree from this private college.

To know more about total cost refer here

https://brainly.com/question/21662065#

#SPJ11

Omar Cuts A Piece Of Wrapping Paper with the shape and dimensions as shown .Find the area of the wrapping paper. Round your answer to the nearest tenth if needed

Answers

The area of the wrapping paper would be = 72.5in².

How to calculate the area of the wrapping paper?

To calculate the area of the wrapping paper, the figure is first divided into two leading to the formation of a triangle and a rectangle.

For the triangle, the formula use to calculate it's area is given as follows;

Area = 1/2 base × height

base = 15-10 = 5 in

height = 9-4 = 5 in

area = 1/2×5 × 5

= 25/2 = 12.5 in²

Area of a rectangle = length× width

width = 4 in

length = 15 in

area = 4×15 = 60in²

Therefore the area of the wrapping paper = 12.5+60 = 72.5in²

Learn more about area here:

https://brainly.com/question/28470545

#SPJ1

At a high school with 900 total students, the true opinions of the entire student body on whether they approve of the student council president are shown below. Follow the directions below to determine a confidence interval for a sample of size 109.

Answers

Based on the above, the proportion of the population who said yes is  78%.

What is the Population  size?

To be able to calculate the population proportion who said yes,  you  have to divide the number of students who said "Yes" by the total amount or number of students in the  whole population:

Hence it will be:

Population proportion who said yes = 741/950

= 0.78

= 78%

So, the proportion of the population who said yes is 0.78 or 78%.

Learn more about Population  from

https://brainly.com/question/29885712

#SPJ1

See text below



At a high school with 950 total students, the true opinions of the entire student body on whether they approve of the student council president are shown below. Follow the directions below to determine a confidence interval for a sample of size 125.

Population Yes 741, Population No 209,  Population Size 950

Population proportion who said yes: ---

Consider the construction of a pen to enclose an area. you have 400 ft of fencing to make a pen for hogs. if you have a river on one side of your property, what are the dimensions (in ft) of the rectangular pen that maximize the area? shorter side ft longer side ft

Answers

The dimensions of the rectangular pen that maximize the area are a shorter side of 100 ft and a longer side of 200 ft along the river.

To maximize the area of the rectangular pen using 400 ft of fencing, with a river on one side of the property, we need to determine the optimal dimensions. Let's denote the length of the pen along the river as 'x' and the width perpendicular to the river as 'y'.

Since the river is on one side, we only need to use the fencing for the other three sides. The total fencing length is 400 ft, so the equation representing the fencing is:

x + 2y = 400

We need to find the maximum area of the pen, which is given by the product of its length and width, i.e., A = xy.

First, we need to express 'x' in terms of 'y' using the fencing equation. From the equation, we get:

x = 400 - 2y

Now, substitute this expression for 'x' in the area equation:

A(y) = (400 - 2y)y = 400y - 2y²

To find the maximum area, we need to find the critical points of this equation by taking the derivative with respect to 'y' and setting it to zero:

dA/dy = 400 - 4y = 0

Solve for 'y':

4y = 400
y = 100 ft

Now, find 'x' using the expression we derived earlier:

x = 400 - 2y
x = 400 - 2(100)
x = 400 - 200
x = 200 ft

Know more about area here:

https://brainly.com/question/24129362

#SPJ11

Find the volume of the largest right cylinder that fits in a sphere of radius 4

Answers

The volume of the largest right cylinder that fits in a sphere of radius 4 is 128π cubic units.

How to find the volume?

To find the volume, we need to understand that the cylinder that fits inside a sphere will have its height (h) equal to the diameter of the sphere (2r), and the cylinder's radius (r') will also be equal to the sphere's radius (r).

We can use the formula for the volume of a cylinder: V = π[tex]r^2^h[/tex], where π is pi (approximately 3.14), r is the radius, and h is the height.

Since the cylinder's height is equal to the sphere's diameter, which is 2r, the height of the cylinder is 2r. Therefore, we can write the volume of the cylinder as:

V = πr²(2r)

Simplifying this expression, we get:

V = 2π[tex]r^3[/tex]

To find the maximum volume of the cylinder that fits inside a sphere of radius 4, we need to maximize the volume by finding the maximum value of r. Since the radius of the cylinder is equal to the radius of the sphere, we have:

r = 4

Substituting this value into the formula for the volume of the cylinder, we get:

V = 2π[tex](4)^3[/tex]

V = 128π

Therefore, the volume of the largest right cylinder that fits in a sphere of radius 4 is 128π cubic units.

Learn more about volume

brainly.com/question/31606882

#SPJ11

Pls help
a polynomial function is represented by the data in the table

x 0 i 1 i 2 i 3 i 4 i
f(x) -24 i -21¾ i -14 i ¾ i 24 i

choose the function represented by the data.
1. f(x) = x3 − x2 − 24
2. f(x) [tex]\frac{x}{4}^{3}[/tex] + 2[tex]x^{2}[/tex] -24
3. f(x)= -2[tex]\frac{1}{4} x^{2}[/tex] + 24
4. f(x)= [tex]\frac{3}{4} x^{2}[/tex] -3x + 24

Answers

The function represented by the data is f(1/4)x³ + 2x² - 24. The correct option is 2.

In the given table, we have the values of x and f(x) for x=0,1,2,3, and 4. We need to find a polynomial function that satisfies these data points.

Looking at the table, we can see that f(x) is negative for x=0,1,2 and positive for x=3,4. This suggests that the polynomial has a root or a zero between x=2 and x=3.

To find the degree of the polynomial, we count the number of data points given. Since we have 5 data points, we need a polynomial of degree 4.

We can use interpolation to find the coefficients of the polynomial. One way to do this is to set up a system of equations using the data points:

f(0) = -24 = a(0)⁴ + b(0)³ + c(0)² + d(0) + e

f(1) = -21.75 = a(1)⁴ + b(1)³ + c(1)² + d(1) + e

f(2) = -14 = a(2)⁴ + b(2)³ + c(2)² + d(2) + e

f(3) = 0.75 = a(3)⁴ + b(3)³ + c(3)² + d(3) + e

f(4) = 24 = a(4)⁴ + b(4)³ + c(4)² + d(4) + e

Solving this system of equations gives us the polynomial function:

f(x) = -0.25x⁴ + 2x³ - 2.75x² - 0.5x + 24

Therefore, the correct option is 2. f(x) = (1/4)x³ + 2x² - 24.

Learn more about polynomials function at https://brainly.com/question/9482448

#SPJ11

Which of the following tables represent a proportional relationship?

verbal:

a. y/x= 40/1 76/2 112/3 148/4

b. y/x= 48/2 96/3 144/4 192/5

c. y/x= 18/1 54/3 90/5 126/7

d. 24/1 21/2 18/3 15/4

picture:

Answers

a. y/x = 40/1, 76/2, 112/3, 148/4 does not represent a proportional relationship. . y/x = 48/2, 96/3, 144/4, 192/5 does not represent a proportional relationship. c. y/x = 18/1, 54/3, 90/5, 126/7  represents a proportional relationship.

How to determine a proportional relationship

A proportional relationship means that the ratio of y to x is constant throughout the table. Let's check each table:

a. y/x = 40/1, 76/2, 112/3, 148/4

If we simplify the fractions, we get y/x = 40, 38, 37.33, 37. This is not a constant ratio, so this table does not represent a proportional relationship.

b. y/x = 48/2, 96/3, 144/4, 192/5

If we simplify the fractions, we get y/x = 24, 32, 36, 38.4. This is not a constant ratio, so this table does not represent a proportional relationship.

c. y/x = 18/1, 54/3, 90/5, 126/7

If we simplify the fractions, we get y/x = 18, 18, 18, 18. This is a constant ratio, so this table represents a proportional relationship.

d. y/x = 24/1, 21/2, 18/3, 15/4

If we simplify the fractions, we get y/x = 24, 10.5, 6, 3.75. This is not a constant ratio, so this table does not represent a proportional relationship.

Therefore, the table that represents a proportional relationship is c. y/x = 18/1, 54/3, 90/5, 126/7.

Learn more about proportional relationship at https://brainly.com/question/12242745

#SPJ1

Kyra has 2 plates, 2 cups, and 2 bowls. If she chooses one of each randomly, what is the probability that the plate, cup, and bowl she chooses will all be blue?


0.167


0.333


0.125


0.083

Answers

The probability is 0.125

To solve this problem

There are a total of 2 × 2 x 2 = 8 possibilities of one plate, one cup, and one bowl that Kyra can select if she has two plates, two cups, and two bowls.

We need to figure out how many combinations fit this requirement because we are interested in the likelihood that all three objects are blue. There are 2 × 2 x 2 = 8 potential color combinations if we assume that each item can be either blue or not blue.

There is only one of these eight color pairings in which all three components are blue. P(all three are blue) = 1/8 = 0.125 is the likelihood that Kyra will select one blue plate, one blue cup, and one blue bowl.

So, the probability is 0.125.

Learn more about probability here : brainly.com/question/29280399

#SPJ1

Simplify the product using foil. (3x-4)(6x-2)

a. 18x^2 + 30x - 8

b. 18x^2 + 18x - 8

c. 18x^2 - 30x + 8

d. 18x^2 - 18x + 8

Answers

Using FOIL, the simplified expression for the product of (3x-4)(6x-2) is c. 18x² - 30x + 8.

To simplify the product (3x-4)(6x-2) using FOIL, we follow the First, Outer, Inner, Last rule. Let's break down the process:

First: Multiply the first terms of both expressions:
(3x) * (6x) = 18x²

Outer: Multiply the outer terms of both expressions:
(3x) * (-2) = -6x

Inner: Multiply the inner terms of both expressions:
(-4) * (6x) = -24x

Last: Multiply the last terms of both expressions:
(-4) * (-2) = 8

Now, combine the results:
18x² - 6x - 24x + 8

Simplify by combining the like terms (middle terms -6x and -24x):
18x² - 30x + 8

The simplified product is 18x² - 30x + 8, which corresponds to option (c).

Learn more about FOIL here: https://brainly.com/question/25558606

#SPJ11

Chaz is writing an informal proof to show that circle q is similar to circle p after a similarity transformation followed by a rigid transformation which two translations in sequence should chaz use map circle q onto circle p​

Answers

Chaz builds a connection between points on circle Q and points on circle P by carrying out these two translations while maintaining the size and shape of the circles.

Chaz may apply two translations sequentially to map circle Q onto circle P, demonstrating that they are comparable following a similarity transformation followed by a rigid transformation.

The center of circle Q can first be translated to the center of circle P by Chaz. The two circles' centers will match thanks to this translation.

After that, Chaz can do another translation to line up a point on circle Q's circumference with a similar point on circle P's circumference. The matching points on the circles are aligned as a result of this translation.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ12

It is claimed that 75% of puppies are house-trained by the time they are 6 months old. To investigate this claim, a random sample of 50 puppies is selected. It is discovered that 42 are house-trained by the time they are 6 months old. A trainer would like to know if the data provide convincing evidence that greater than 75% of puppies are house-trained by the time they are 6 months old. The standardized test statistic is z = 1. 47 and the P-value is 0. 708. What conclusion should be made using the Alpha = 0. 05 significance level?



Because the P-value is greater than Alpha = 0. 05, there is convincing evidence that 75% of puppies are house-trained by the time they are 6 months old.


Because the P-value is greater than Alpha = 0. 05, there is not convincing evidence that 75% of puppies are house-trained by the time they are 6 months old.


Because the P-value is greater than Alpha = 0. 05, there is convincing evidence that greater than 75% of puppies are house-trained by the time they are 6 months old.


Because the P-value is greater than Alpha = 0. 05, there is not convincing evidence that greater than 75% of puppies are house-trained by the time they are 6 months old

Answers

The conclusion should be made using the Alpha = 0. 05 significance level is because the P-value is greater than Alpha = 0.05, there is not convincing evidence that greater than 75% of puppies are house-trained by the time they are 6 months old. The correct answer is B.

The given null hypothesis is that 75% of puppies are house-trained by the time they are 6 months old. The alternative hypothesis is that greater than 75% of puppies are house-trained by the time they are 6 months old.

The test statistic is a z-score, which is calculated by subtracting the hypothesized proportion (0.75) from the sample proportion (42/50 = 0.84), dividing by the standard error of the sample proportion, and then standardizing with respect to the standard normal distribution. The resulting z-score is 1.47.

The P-value is the probability of observing a test statistic as extreme or more extreme than the calculated z-score, assuming the null hypothesis is true. A P-value of 0.708 means that there is a 70.8% chance of observing a sample proportion as extreme or more extreme than 0.84, assuming that 75% of puppies are house-trained by the time they are 6 months old.

Since the P-value is greater than the significance level (alpha) of 0.05, we fail to reject the null hypothesis. In other words, there is not convincing evidence to suggest that greater than 75% of puppies are house-trained by the time they are 6 months old.

Learn more about hypothesis at https://brainly.com/question/30461126

#SPJ11

There are 30 chocolates in a box, all identically shaped. There are 5 filled with coconut and 10 filled with caramel. The other 15 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. What is the probability of selecting a caramel chocolate both times? Are the events of selecting a caramel chocolate on your first pick and selecting a caramel chocolate on your second pick indipendent or dependent? Round to three decimal places

Answers

The probability of selecting a caramel chocolate both times is approximately 0.103.

The events of selecting a caramel chocolate on each pick are dependent since the probability of the second pick depends on the outcome of the first pick.

First, we need to calculate the probability of selecting a caramel chocolate on the first pick, which is 10/30 or 1/3. After eating the first chocolate, there will be 29 chocolates left in the box, and 9 of them will be caramel-filled. So, the probability of selecting a caramel chocolate on the second pick, given that the first pick was a caramel chocolate and it was eaten, is 9/29.

To find the probability of selecting a caramel chocolate both times, we need to multiply the probabilities of the two events together, since they are independent:

P(caramel and caramel) = P(caramel on first pick) * P(caramel on second pick | first pick was caramel)

= (1/3) * (9/29)

= 0.103 or 0.1034 rounded to four decimal places.

Therefore, the probability of selecting a caramel chocolate both times is approximately 0.103.

The events of selecting a caramel chocolate on the first pick and selecting a caramel chocolate on the second pick are dependent events since the probability of selecting a caramel chocolate on the second pick changes based on what was selected on the first pick.

To know more about probabilities, refer here :

https://brainly.com/question/30034780#

#SPJ11

The hottest day of the year in Buenos Aires, Argentina, on average, is January 7, when the average high temperature is 37° C. The coolest day of the year has an average high temperature of 17° C. Use a trigonometric function to model the temperature in Buenos Aires, Argentina using 365 days as the length of a year. Remember that January 7 is in the summer in Buenos Aires

Answers

The temperature in Buenos Aires can be modeled using the equation T(t) = 5 sin(2π(t - 182.5)/365) + 27, where t is the number of days since January 1.

How to model temperature in Buenos Aires?

To model the temperature in Buenos Aires using a trigonometric function, we can use the sine function.

First, we need to find the amplitude, period, phase shift, and vertical shift.

Amplitude: The difference between the maximum and minimum temperatures is (37 - 17) / 2 = 10 degrees, so the amplitude is 10/2 = 5 degrees.Period: The period of the function is 365 days, which is the length of a year.Phase shift: January 7 is in the summer, so we want to shift the function to the right by half a year (182.5 days).Vertical shift: The average temperature over the year is (37 + 17) / 2 = 27 degrees, so the vertical shift is 27 degrees.

Putting it all together, the equation for the temperature in Buenos Aires as a function of time is:

T(t) = 5 sin(2π(t - 182.5)/365) + 27

Where t is the number of days since January 1 and T(t) is the temperature in degrees Celsius.

Learn more about trigonometric function

brainly.com/question/6904750

#SPJ11

Jane completed 8 homework problems in class. The function p(m) relates the


time (in minutes) Jane spent on her homework at home to the total number


of problems she completed. The input is the number of minutes worked. The


output is the number of problems completed.


p(m)= m/5+8


Which equation represents the inverse function m(p), which uses problems


completed as the input and gives minutes worked as the output?

Answers

Answer:

Step-by-step explanation:

5p-40

For the function M(x) = 2x⁴ - 5x-3, find the value of M"' (2) M(x) = 2x⁴ -5x-3 M''' (2) = M'G)= M''(x)= 2. Find dy/dx for the relation x² = -3x³y⁴- 4y³ 15-3x'y". ty? 3. Find dy/dt for the function y = 3x⁴ - 8x² + 4 Evaluate dy/dt when dx/dt = -2 and x = -10 y = 3x⁴ - 8x²+4

Answers

Therefore, the exact values of sin 2u, cos 2u, and tan 2u are -24/25, 7/25, and -24/7, respectively.

The double angle formulas are:

sin 2u = 2 sin u cos u

cos 2u = cos² u - sin² u

tan 2u = 2 tan u / (1 - tan² u)

Given that cos u = -4/5 and u is between -π/2 and π, we can find sin u by using the Pythagorean identity:

sin² u + cos² u = 1

sin u = sqrt(1 - cos² u) = sqrt(1 - 16/25) = 3/5 (since u is in the second quadrant)

Using this value of sin u, we can find:

sin 2u = 2 sin u cos u = 2 (3/5) (-4/5) = -24/25

cos 2u = cos² u - sin² u = (-4/5)² - (3/5)² = 7/25

tan 2u = 2 tan u / (1 - tan² u) = 2 (-3/4) / (1 - (-3/4)²) = -24/7

For more similar questions on topic maximization

https://brainly.com/question/29502088

#SPJ11

For the function, M(x) = 2x⁴ - 5x-3

1. M'''(2) = 96
2. dy/dx = (2x + 9x²y⁴) / (12x³y³ + 12y²)
3. dy/dt = -12,320 when dx/dt = -2 and x = -10

1. To find the value of M'''(2) for the function M(x) = 2x⁴ - 5x - 3, first find the first, second, and third derivatives:

M'(x) = 8x³ - 5
M''(x) = 24x²
M'''(x) = 48x

Now evaluate M'''(2):
M'''(2) = 48(2) = 96

2. To find dy/dx for the relation x² = -3x³y⁴ - 4y³, first implicitly differentiate both sides with respect to x:

2x = -3(3x²y⁴ + x³(4y³dy/dx)) - 4(3y²dy/dx)

Now solve for dy/dx:

dy/dx = (2x + 9x²y⁴) / (12x³y³ + 12y²)

3. To find dy/dt for the function y = 3x⁴ - 8x² + 4, first differentiate with respect to t:

dy/dt = (12x³ - 16x)(dx/dt)

Now evaluate dy/dt when dx/dt = -2 and x = -10:

dy/dt = (12(-10)³ - 16(-10))(-2) = (12,000 + 160)(-2) = -12,320



For more such questions on Function.

https://brainly.com/question/22981287#

#SPJ11

Americans consume on average 32. 3 lbs of cheese per year with a standard deviation of 8. 7 lbs. Assume that the amount of cheese consumed each year by an American is normally distributed. An American in the middle 70% of cheese consumption consumes per year how much cheese?

Answers

An American in the middle 70% of cheese consumption consumes per year between 23.252 and 41.348 lbs of cheese.

To find the amount of cheese consumed by an American in the middle 70%, we need to find the range of values that contain the middle 70% of the distribution.

First, we need to find the z-scores corresponding to the lower and upper boundaries of the middle 70% of the distribution. We can use the standard normal distribution for this, by converting the raw score of 32.3 lbs to a z-score:

z = (x - μ) / σ = (32.3 - 32.3) / 8.7 = 0

The z-score for the mean is zero, which means the mean is the midpoint of the normal distribution.

Next, we need to find the z-scores that correspond to the lower and upper boundaries of the middle 70% of the distribution. We can use the standard normal distribution table or calculator to find the z-scores. For a middle 70% range, the z-scores are approximately -1.04 and 1.04.

Finally, we can use the z-scores and the formula z = (x - μ) / σ to find the corresponding values of x, which represent the range of cheese consumption that contains the middle 70% of the distribution:

Lower boundary: z = -1.04

-1.04 = (x - 32.3) / 8.7

x - 32.3 = -9.048

x = 23.252 lbs

Upper boundary: z = 1.04

1.04 = (x - 32.3) / 8.7

x - 32.3 = 9.048

x = 41.348 lbs

Learn more about normal distribution at https://brainly.com/question/29509087

#SPJ11

Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x town chairs is R0 -0.0001 +0.042? + Ofe Curare Per vete te lawn chairs daily a) What is the current daily revenue? b) How much would revenue increase ir 3 lawn chairs were sold each day? c) What is the marginal revenue when 50 lawn chairs are sold daily d) Use the answer from part (c) to estimate R(51), R(52) and R153)

Answers

The revenue of the chairs sold as per given R(x) = 0.004x³ -0.04x² +0.6x for different conditions are,

The current daily revenue is $2646.

Increase in revenue for 92 chairs sold every day is $185.16

Marginal revenue is $90.6 per lawn chair for 92 chairs sold every day.

Estimated revenue for R(91), R(92) and R(93) is equal to $2555.4 , $2464.8, and $2374.2 respectively.

Daily revenue from sale of x chairs is,

R(x) = 0.004x³ -0.04x² +0.6x

The current daily revenue can be found by evaluating the function at x = 90,

R(90) = 0.004(90)³ - 0.04(90)² + 0.6(90)

        = 2916 - 324 + 54

        = $2646

Increase in revenue,

⇒ difference between the revenue from selling 92 lawn chairs and the revenue from selling 90 lawn chairs,

R(92) - R(90)

= [0.004(92)³ - 0.04(92)² + 0.6(92)] - [0.004(90)³ - 0.04(90)² + 0.6(90)]

= 3114.752 -338.56 + 55.2 - 2646

= 2831.16 - 2646

= $185.16

Revenue would increase by$185.16 if 92 lawn chairs were sold each day.

The marginal revenue is the derivative of the revenue function,

R'(x) = 0.012x² - 0.08x + 0.6

Marginal revenue when 90 lawn chairs are sold daily,

we can evaluate the derivative at x = 90,

R'(90) = 0.012(90)² - 0.08(90) + 0.6

          = $90.6

When 90 lawn chairs are sold daily, the marginal revenue is $90.6 per lawn chair.

Use the answer from above part to estimate the revenue from selling 91, 92, and 93 lawn chairs daily.

Assume that the marginal revenue is approximately constant in a small interval around 90,

Use the linear approximation,

R(91) ≈ R(90) + R'(90)(1)

       = $2646 + $90.6

       = $2555.4

R(92) ≈ R(90) + R'(90)(2)

        = $2646 + 2($90.6)

        = $2464.8

R(93) ≈ R(90) + R'(90)(3)

         = $2646 + 3($90.6)

         = $2374.2

If 91, 92, and 93 lawn chairs were sold daily,

The estimated daily revenue would be $2555.4 , $2464.8, and $2374.2 respectively.

Learn more about revenue here

brainly.com/question/31399976

#SPJ4

The above question is incomplete, I answer the question in general according to my knowledge:

Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x town chairs is

R(x) = 0.004x³ -0.04x² +0.6x .

Currently, Pierce sells 90 lawn chairs daily.

a) What is the current daily revenue?

b) How much would revenue increase if 92 lawn chairs were sold each day?

c) What is the marginal revenue when 90 lawn chairs are sold daily

d) Use the answer from part (c) to estimate R(91), R(92) and R(93)

81% of the money spent at full-service restaurants in America takes place by debit, credit, or pre-paid cards. One restaurant kept data for the week, and found that 421 of it's 973 customers used either debit, credit, or pre-paid cards to pay for their meal that week. Choose all possible reasons for the discrepancy in the results.

Choices:
1. The theoretocal probability is not calculated correctly

2. The experiment is flawed

3. Enough trials have not been performed to give the desired result.

4. There is no discrepancy in the result
choose all answers that apply. ​

Answers

The discrepancy in the results: The theoretical probability may not be calculated correctly and enough trials have not been performed to give the desired result

In the given scenario, 81% of money spent at full-service restaurants in America is through debit, credit, or pre-paid cards. However, one restaurant found that 421 out of 973 customers used these payment methods. Possible reasons for the discrepancy in the results are:

1. The theoretical probability may not be calculated correctly: The 81% figure might not accurately represent the actual proportion of customers using cards in full-service restaurants. It could be due to incorrect data collection or interpretation.

3. Enough trials have not been performed to give the desired result: The data from one restaurant for one week might not be enough to accurately reflect the overall trend. A larger sample size and longer time frame would give a more accurate representation.

It's important to note that there might not necessarily be a discrepancy in the result; it could be a difference due to variations in individual restaurant data compared to the overall average.

To know more about theoretical probability, refer here:

https://brainly.com/question/24037367#

#SPJ11

Line m passes through the points (-4, 3) and (-4, 7). What is the slope of the line that is parallel to line m? Show all of your work for full credit

Answers

The slope of desired parallel line is undefined.

How to find slope of a line?

Given two points [tex](-4, 3)[/tex] and [tex](-4, 7)[/tex], we can see that both points have the same x-coordinate, which means that they lie on a vertical line parallel to the y-axis. Since the slope of a vertical line parallel to the y-axis is undefined, we can say that the slope of line m is undefined.

To find the slope of a line that is parallel to line m, we can use the fact that parallel lines have the same slope. Since the slope of line m is undefined, any line parallel to it will also have an undefined slope.

Therefore, the slope of the line that is parallel to line m is undefined.

Learn more about slope at:

brainly.com/question/29184253

#SPJ11

need help with this and the writing part

Answers

Hunter made a mistake in calculating the volume of the rectangular prism, hence he may have chosen the wrong formula.

How to obtain the volume of a rectangular prism?

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The dimensions for this problem are given as follows:

2m, 3m and 5m.

Hence the volume of the prism is given as follows:

V = 2 x 3 x 5

V = 30 m³.

More can be learned about the volume of a rectangular prism at brainly.com/question/22070273

#SPJ1

Which function is increasing and has a domain of (1,infiniti)?



A. F(x) = log(x - 1) + 2


B. F(x) = -log(x - 2) + 1


C. F(x) = -log(x - 1) + 2


D. F(x) = log(x - 2) + 1

Answers

The function that is increasing and has a domain of (1, infinity) is A. F(x) = log(x - 1) + 2.


To determine the increasing function with the specified domain, let's analyze each option:

A. F(x) = log(x - 1) + 2
This function is increasing because the logarithm of a positive number is always increasing. The domain is (1, infinity), which matches the requirement.

B. F(x) = -log(x - 2) + 1
This function is decreasing because the negative sign in front of the logarithm inverts the increase. The domain is (2, infinity), which does not match the requirement.

C. F(x) = -log(x - 1) + 2
This function is also decreasing because of the negative sign in front of the logarithm. The domain is (1, infinity), which matches the requirement, but the function is not increasing.

D. F(x) = log(x - 2) + 1
This function is increasing because the logarithm of a positive number is always increasing. However, the domain is (2, infinity), which does not match the requirement.

The function that is increasing and has a domain of (1, infinity) is A. F(x) = log(x - 1) + 2.

Learn more about "function": https://brainly.com/question/2328150

#SPJ11

Consider the function f(x)=x(x-4).


If the point (2+c,y) is on the graph of f(x), the following point will also be on the graph of f(x):

Answers

The point (c-2, y) will also be on the graph of f(x) if the point (2+c, y) is on the graph. The correct option is (c-2, y).

If the point (2+c, y) is on the graph of f(x) = x(x-4), we can determine the x-value of the following point on the graph by substituting the given x-value into the function.

1. Start with the given point (2+c, y).

2. Substitute the x-value into the function f(x) = x(x-4):

f(2+c) = (2+c)((2+c)-4)

= (2+c)(c-2)

= c(c-2) + 2(c-2)

= c² - 2c + 2c - 4

= c² - 4

So, the y-value of the point (2+c, y) on the graph of f(x) is y = c² - 4.

Now, let's determine the x-value of the following point on the graph by considering the options provided.

If we select the value (c-2) as the x-value of the following point, we can substitute it into the function f(x) to find the corresponding y-value.

f(c-2) = (c-2)((c-2)-4)

= (c-2)(c-2-4)

= (c-2)(c-6)

= c(c-6) - 2(c-6)

= c² - 6c - 2c + 12

= c² - 8c + 12

So, the y-value of the point (c-2, y) on the graph of f(x) is y = c² - 8c + 12.

To learn more about the function;

brainly.com/question/28303908

#SPJ12

The complete question:
Consider the function f(x)=x(x-4).

If the point (2+c,y) is on the graph of f(x), the following point will also be on the graph of f(x):

Select a Value

(c-2,y)

(2-c,y)

THE PUZZLE


This problem gives you the chance to


Solve and reason abxut equations


A magazine contains a puzzle.


Each symbol represents a


number


>


28


>


24


Different symbols have


different values.


N


42


The sum of each row is given


at the side of the table.


>


36


Try to find out the value for each symbol:


heart-. Spade - 1. Club - 4 diamond

Answers

The value for each symbol is: Heart - 9, Spade - 3, Club - 6, Diamond - 8.

How to determine symbol values?

To solve the puzzle and find the value for each symbol, we can use the given information.

First, we observe that the sum of each row is provided on the side of the table. Therefore, we can use this information to find the value for each symbol.

Let's assign variables to each symbol: heart (H), spade (S), club (C), and diamond (D).

From the first row, we have H + S + C = 28.

From the second row, we have H + D = 24.

From the third row, we have H + S + C + D = 36.

We can solve this system of equations to find the value for each symbol. By substituting the values, we can deduce that heart (H) is equal to 10, spade (S) is equal to 7, club (C) is equal to 11, and diamond (D) is equal to 14.

Learn more about value

brainly.com/question/10416781

#SPJ11

A pitcher contains 13 cups of iced tea. You drink 1. 75 cups of the tea each morning


and 1. 5 cups of the tea each evening. When will you run out of iced tea?

Answers

You will run out of iced tea in 5.33 days.

To calculate this, we need to first determine how much tea you drink each day:

1.75 cups in the morning + 1.5 cups in the evening = 3.25 cups per day.

Then, we can divide the total amount of tea by the amount you drink per day to find out how many days the tea will last:

13 cups ÷ 3.25 cups per day ≈ 4 days.

However, we need to account for the fact that you won't run out of tea at the end of the day, so we need to round up to the nearest day:

ceil(4 days) = 5 days.

Finally, we need to account for the partial day on the fifth day, which we can calculate by finding how much tea you drink in the morning before running out:

1.75 cups in the morning - (5 days x 3.25 cups per day) = 0.5 cups.

So, you will run out of iced tea on the fifth day in the evening, after drinking 1.5 cups. Therefore, you will run out of iced tea in 5.33 days.

To know more about iced tea, refer here:

https://brainly.com/question/28531302#

#SPJ11

All the 4-digit numbers you could make using seven square tiles numbered 2, 3, 4, 5, 6, 7, and 8

Answers

Using the seven square tiles numbered 2, 3, 4, 5, 6, 7, and 8, we can make 1260 different 4-digit numbers.

To create a 4-digit number using these seven square tiles, we have to consider the following:

- The first digit cannot be 2 because then the number would only have three digits.
- We can choose any of the remaining six tiles for the first digit, which means there are 6 choices.
- We can choose any of the seven tiles for the second digit, which means there are 7 choices.
- We can choose any of the remaining six tiles for the third digit, which means there are 6 choices.
- We can choose any of the remaining five tiles for the fourth digit, which means there are 5 choices.

Therefore, the total number of 4-digit numbers we can make is:

6 x 7 x 6 x 5 = 1260

So, using the seven square tiles numbered 2, 3, 4, 5, 6, 7, and 8, we can make 1260 different 4-digit numbers.

learn more about "Square":-https://brainly.com/question/24487155

#SPJ11

What is the missing value of G if G is two and one-half times smaller than 19. 02 cm? A. 7. 608 cm B. 7. 808 cm C. 8. 608 cm D. 9. 51 cm

Answers

Therefore, the missing value of G is 7.608 cm, which is option A.

What is the missing value of G?

If G is two and one-half times smaller than 19.02 cm, we can find the value of G by multiplying 19.02 cm by 2/5, since two and one-half is equal to five halves, or 2/5 when expressed as a fraction.

G = (2/5) x 19.02 cm

Simplifying this expression:

G = 7.608 cm

Therefore, the missing value of G is 7.608 cm, which is option A.

Learn more about the missing value of G

brainly.com/question/3759414

#SPJ11

y varies inversely as x. y= 27 when x=5 Find y when x=3

Answers

As y varies inversely as x, the value of y when x = 3 is 45.

What is the value of y when x = 3?

Inverse proportionality is expressed as:

y ∝ 1/x

Hence:

y = k/x

Where k is the constant of proportionality.

First, we determine the constant of proportionality.

Using the information given in the problem.

When x = 5, y = 27

Substituting these values into the formula, we get:

y = k/x

27 = k/5

k = 135

Now that we have found the value of k, we can use the formula to find y when x = 3. Substituting x = 3 and k = 135, we get:

y = k/x

y = 135/3

y = 45

Therefore, the value of y is 45.

Learn more about proportionality here: https://brainly.com/question/27530069

#SPJ1

If f(x) and f^1(x)
are inverse functions of each other and f(x) - 2x+5, what is f^-1(8)?

-1
3/2
41/8
23

Answers

Answer:

3/2

Step-by-step explanation:

f(x) = 2x+5

f-¹(x) = ?

to find f-¹(x)

let f(x) be y

y = 2x+5

then we'll make x the subject of formula

y-5 = 2x

x = y-5/2

change y to x and x to y

f-¹(x) = x-5/2

f-¹(8) = 8-5/2 = 3/2

Babacar has a coupon for 20% off, after tax, at Burger Beast Restaurant. When Babacar and Arturo eat dinner at Burger Beast restaurant, their bill is $36. 00 after tax. They use Babacar’s coupon, and they decide to leave a tip that is 20% of the discounted price. How much did Babacar and Arturo pay in total?

Answers

The total amount Babcar and Arutro paid in the Burger Beast Restaurant is $ 34.56.

Total bill = $36

Discount coupon = 20 %

The price paid after the discount coupon = 36 - (20% of 36 )

Price paid = 36 - (36 × 20/100)

The price paid = 36 - 7.2

Price paid = 28.8

The tip paid is 20 % the discounted price

The tip paid = 20% of 28.8

The tip paid = 28.8 × 20/100

The tip paid = 5.76

The total price paid = price paid after discount coupon + Tip paid

The total price paid = 28.8 + 5.76

The total price paid = 34.56

To know more about amount click here :

https://brainly.com/question/28970975

#SPJ4

7. Eugene earns $2,700 monthly. He is going to be receiving a 3. 5% raise. With this new roise, he


believes he will earn more than $2,800 a month. Is Eugene correct in his thinking? Why or why


nol? Justifying your reasoning,


Summarize today's lesson:


Car Mr V Model 2017

Answers

Answer: Regarding "Car Mr V Model 2017," I'm not sure what you're asking. Can you please provide more context or a clear question?

Step-by-step explanation:

To determine if Eugene's thinking is correct, we need to calculate his new monthly salary with the 3.5% raise.

3.5% of $2,700 is (3.5/100) x $2,700 = $94.50

Eugene's new monthly salary is $2,700 + $94.50 = $2,794.50

So, Eugene's thinking is not correct. His new monthly salary with the 3.5% raise is $2,794.50, which is still less than $2,800.

Today's lesson was not provided in your question. Please provide a topic or question for me to provide a summary of today's lesson.

Regarding "Car Mr V Model 2017," I'm not sure what you're asking. Can you please provide more context or a clear question?

To Know more about Car Mr V Model 2017 refer here

https://brainly.com/question/17549932#

#SPJ11

Other Questions
What is the recursive formula for the sequence -1, -3, -9, -33 ... City x experiences very dry conditions in the winter, along with a prevailing northerly wind. in the summer, the prevailing winds shift to southerly and the rainfall at city x increases by a factor of 10. what can you say about the general climate regime of city x Rewrite the following equation in slope-intercept form.19x + 18y = 17 Ludovic does not understand that things exist when he cannot see them. therefore, he finds a peek-a-boo amazing because his father appears and disappears. what piagetian stage is ludovica in A student heated 20 Kg of water to a temperature of 80C. He then added an unknown mass of Kg of water at 15 C and the final steady temperature of the mixture is 40 C. Given that the specific heat capacity. Of water is 4200J/kg degC, the unknown mass of 15C water is determined to be kg The karyotype of a trisomic individual is symbolized as ____. Select all the correct answers.If the measure of angle is which statements are true?sin (0) = -The measure of the reference angle is 30.cos (0) = 3The measure of the reference angle is 45.tan (0) = -3The measure of the reference angle is 60. What is the volume of the rectangular prism?a prism has a length of 8 inches, width of 2 inches, and height of 12 and one-half inches.16 in.322 and one-half in.3200 in.3 212 and one-half in.3 One side of a square has endpoints (4,7) and (-3,5). What is the perimeter of the square? Explain why I2 is a solid, Br2 is a liquid but Cl2and F2 are gases even though they are all Halogens Find the length of the radius r Explain how a decrease in water potential of the blood may damage red blood cells. A cathode ray tube is made of glass with a small amount of some kind of gas in it. It has metal electrodes at each end to pick up an electric current. The electrodes are named "positive" and "negative. " Helpppppppppppppppppppppppppp what were the consequences of the cambodian expansion Which concept is related to increasing a game's virality? O balanced difficulty online high score tables O limited lives O realistic physics If you need 2 1/4 cups of water for 1 cup of rice how much water do you need if you have 1/3 cup of rice? help please ill give brainliest At a large university, 15% of students are left-handed. A psychology professor selects a random sample of 10 students and records L = the number of left-handed students in the sample. Starting on line 1 of the random-number table, how many left-handed students occur in the first trial of the simulation if we let 00-14 represent left-handed students? The measures of the interior angles of a hexagon are represented by , and. The measure of the largest interior angle is