Identify the equation for a circle with its center at (-10, 4) and a radius length of 2.​

Answer:

Saanvi recorded the number of math problems she did for homework each night for 10 days.

Step-by-step explanation:

The graph that shows the residual plot for the height and weight of the 10 players is B. Graph B.

To find the residual plot, you need to use the data on height and weight of 10 players shown on the table, and compare it to figures you get from the formula given of y = -146.7 + 4.76 x.

Doing this, we find two residuals being:

x = 68

Predicted y = -146.7 + 4.76(68) = 175.88

Actual y = 170

Residual = Actual y - Predicted y = 170 - 175.88 = -5.88

x = 70

Predicted y = -146.7 + 4.76(70) = 185.3

Actual y = 185

Residual = Actual y - Predicted y = 185 - 185.3 = -0.3

These points of (68, - 5.88) and ( 70, - 0.3) tally with Graph B so this is the residual plot.

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The logistic model shows how the growth of a population is limited by its environment.

The differential equation that models the growth rate for the fish population with harvesting when a very anti-social species of fish will be harvested at a constant rate h and the intrinsic growth rate for the fish population is is given below:$$\frac{dN}{dt}= rN - hN$$Where N is the population of fish, t is time, r is the intrinsic growth rate, and h is the rate of harvesting. The first term in the above equation represents the population growth rate, and the second term represents the population loss rate due to harvesting. The differential equation is also known as a logistic model or Verhulst model. The logistic model, on the other hand, takes into account limiting factors such as the population size and resources available.

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The double integral of sin(xy) over the rectangle r equals 1 when a is approximately equal to 0.986, with 0 ≤ a ≤ π.

The iterated integral to compute the double integral over the rectangle r = {(x,y) : 0 ≤ x ≤ π, 0 ≤ y ≤ a} of sin(xy) is given by:

∫∫r sin(xy) dA = ∫₀^a ∫₀^π sin(xy) dx dy

Integrating with respect to x first, we have:

∫₀^a ∫₀^π sin(xy) dx dy = ∫₀^a [-cos(πy) + cos(0)] dy

= ∫₀^a (1 - (-1)^n) dy

= a - (a/π)sin(πa)

For what values of a is ∫∫r sin(xy) dA equal to 1?

We need to solve the equation:

a - (a/π)sin(πa) = 1

Multiplying both sides by π, we get:

aπ - a sin(πa) = π

Now, let f(a) = aπ - a sin(πa) - π. We need to find the values of a such that f(a) = 0.

Using numerical methods, we can find that there is only one solution in the interval [0,π], which is approximately a = 0.986.

Therefore, the double integral of sin(xy) over the rectangle r equals 1 when a is approximately equal to 0.986, with 0 ≤ a ≤ π.

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The answer of the given question based on Return on Investment is (a) 19.64% , (b) $51,575 , (c)  -28.30% , (d)  $42,000.

Investment is the act of allocating resources, like money, time, or effort, with the expectation of generating a return or profit in the future. Investment can take many forms, including purchasing stocks, bonds, mutual funds, real estate, or other financial assets.

The main goal of investment is to grow wealth over time by generating returns that exceed the rate of inflation. There are several types of investment strategies, such as value investing, growth investing, income investing, and diversification, that investors can use to achieve their financial goals.

a. ROI = (final value - initial value)/initial value * 100%

ROI = (67000 - 56000)/56000 * 100% = 19.64%

b. ROI = (final value - initial value)/initial value * 100%

$24,756 = 48% * initial value

initial value = $24,756 / 0.48 = $51,575

c. ROI = (final value - initial value)/initial value * 100%

ROI = ($62.56 - $87.24)/$87.24 * 100% = -28.30%

The negative ROI indicates a loss in investment.

d. The lowest price is $25 and the highest price is $67, so the total return on investment is:

Total Return = 1000 shares * ($67 - $25) = $42,000.

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Answer:

5

Step-by-step explanation:

In the given question,

center of the circle C = (1, 2)

let P be the point (-3, -1) on the circle (on circumference)

radius of the circle is equal to the distance between the center and any point on its circumference.

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex] (distance between two points)

therefore,

[tex]r = \sqrt{(-3 - 1)^2 + (-1 - 2)^2}[/tex]

[tex]r = 5[/tex]

Hopefully this answer helped you!

Answer: x = -2

Step-by-step explanation: -2 is the answer because -2 to the 3rd power is -8. Hence, 8 * -8 = -64 as the solution.

The probability that your survey will provide a sample proportion within 0.05 of the population proportion = 0.8818

Here,  people end up tossing 10% of what they buy at the grocery store

So, the probability of occurance P = 0.1

q = 1 - p

q = 1 - 0.1

q = 0.9

Also, the sample size (n) = 90

Now the standard error of the distribution of sample means would be,

s = [tex]\sqrt{\frac{p\times q}{n} }[/tex]

s = 0.032

We need to calculate the probability that your survey will provide a sample proportion within 0.05 of the population proportion.

z₁ = (-0.05)/(0.032)

z₁ = -1.5625

z₂ = (+0.05)/(0.032)

z₂ = +1.5625

p(z-score between -1.5625 and +1.5625) = 0.8818

Therefore the required probability is 0.8818

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The ratio of h:m:t in its simplest form is 15:12:8.To find the ratio of h:m:t, we need to use the given ratios h:m = 5:4 and m:t = 3:2 and simplify them to express them in terms of h, m, and t.

From the ratio h:m = 5:4, we can write:

m = (4/5)h

Similarly, from the ratio m:t = 3:2, we can write:

t = (2/3)m

Substituting the value of m from the first equation into the second equation, we get:

t = (2/3)(4/5)h

Simplifying this expression, we get:

t = (8/15)h

Therefore, the ratio of h:m:t can be expressed as:

h : m : t = h : (4/5)h : (8/15)h

Simplifying this ratio by multiplying all the terms by the least common multiple of the denominators (15), we get:

h : m : t = 15h : 12h : 8h

Simplifying further by dividing all the terms by the greatest common factor (h), we get:

h : m : t = 15 : 12 : 8

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Answer:

22

Step-by-step explanation:

To find out how much the other pizzas cost you need to do 7-1 because that is the other 6 pizzas not including the 1st pizza. Then multiply 6 x 6 because that is the total cost for the other pizzas after the first pizza bought. This means that the pizzas cost 36 dollars without the first pizza. Then do 58-36 for the first pizza cost which is 22 dollars. Therefore the regular price of the first large pizza is 22 dollars. If you were to write it in slope intercept form it would be Y=6x+16 {x[tex]\geq[/tex]1} with Y representing the cost and x representing the pizza. You would need a domain as if you were to buy 0 pizza it wouldn't mean that it would cost you 16 dollar. Which is why you want the domain to be greater than or equal to 1 because if you bought 1 pizza it would cost 22 dollars

Therefore, the length of the rectangular prism is 16 yards.

To find the length of a rectangular prism, you need to measure the distance between its two opposite faces that are parallel to each other.

Here are the steps you can follow to find the length of a rectangular prism:

Identify the two opposite faces of the rectangular prism that are parallel to each other.

Choose one of these faces and measure its length using a ruler or tape measure. This will be the length of the rectangular prism.

If the rectangular prism is too large to measure directly, you can use a formula to calculate its length. The formula for finding the length of a rectangular prism is:

length = volume / (width x height)

To find the length of the rectangular prism, we can use the formula for the volume of a rectangular prism, which is:

Volume = length x width x height

We are given that the width is 2 1/2 and the height is 5 3/4. We also know that the volume is 115 cubic yards. So, we can plug these values into the formula and solve for the length:

115 = length * 2.5 * 5.75

Dividing both sides by (2.5 x 5.75), we get:

length = 115 / (2.5 * 5.75)

length = 16

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The Answer would be

38084

+ 55974

=94058

We have two possible values for y, we have two possible Coordinates for point A: (-3, 1 + √((units)² - (3 - (-3))²)) and (-3, 1 - √((units)² - (3 - (-3))²)).

Here are the terms and steps we'll use in the solution:

1. Point B coordinates: (3, 1)
2. Point A x-coordinate: -3
3. Distance formula: √((x2 - x1)² + (y2 - y1)²)

Let's find the possible coordinates of point A:

Step 1: We know the x-coordinate of point A is -3, so its coordinates will be in the form (-3, y).

Step 2: Apply the distance formula to find the distance between point A (-3, y) and point B (3, 1):

Distance = √((3 - (-3))² + (1 - y)²)

Step 3: Square the distance equation to eliminate the square root:

Distance² = (3 - (-3))² + (1 - y)²

Step 4: Plug in the given distance value and solve for y:

(units)² = (3 - (-3))² + (1 - y)²

Step 5: Solve for (1 - y)²:

(1 - y)² = (units)² - (3 - (-3))²

Step 6: Take the square root of both sides:

1 - y = ±√((units)² - (3 - (-3))²)

Step 7: Solve for y:

y = 1 ±√((units)² - (3 - (-3))²)

Since we have two possible values for y, we have two possible coordinates for point A: (-3, 1 + √((units)² - (3 - (-3))²)) and (-3, 1 - √((units)² - (3 - (-3))²)).

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Answer:

3.75 and B

Step-by-step explanation:

for the first one if the actual is 48 feet, and the image is 12.8, divide both by the image(12.8). The value you have for the image should then become one centimeter, therefore the value you have for the parking lot is the amount of feet/1cm. For the second image, its the same idea. In this case you want to know how tall the scale is, so divide by the amount of meters(just as 6/2=3 and 6/3=2 the real value/scale value=representation of 1 unit and real value/representation of 1 unit = scale value). You get 12.5, however that is per 1 unit, so multiply by five since(the value you get by simply dividing is the answer IF 30 meters were represented in the scale by 1centimeter, but its represented by 5 so you multiply by five)You get 63.5

You can successfully begin a business that serves the requirements of expression your community by leveraging your existing skills and networks and investing in targeted marketing methods.

An expression in mathematics is a collection of representations, digits, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a combination of the two can be used as an expression. Mathematical operators include addition, subtraction, rapid spread, division, and exponentiation. Expressions are often used in arithmetic, mathematics, and form. They are employed in the representation of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

Offering a service that leverages your existing talents and training is one suggestion for beginning a business with $150.00. For example, if you are a graphic designer, you may offer logo creation or other graphic design services to local small businesses or people. Instead, if you have experience with social media marketing, you might offer to handle small businesses' social media accounts.

Ultimately, launching a firm on a tight budget necessitates ingenuity and resourcefulness. You can successfully begin a business that serves the requirements of your community by leveraging your existing skills and networks and investing in targeted marketing methods.

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Rita numbered the circles of the figure from 1 to 8, so that the sum of the three numbers on each of the four sides of the square equals 13. The sum of the four numbers written on the colored circles is 10.

The figure is as shown below:

Now, let's check how the numbers are arranged:The sum of the numbers 1, 6, and 6 is 13, and they are written on the same side of the square as the circle labeled with 1.

Similarly, the numbers 2, 5, and 6 are on the same side of the square as the circle labeled with 2, and the numbers 2, 6, and 5 are on the same side of the square as the circle labeled with 3.

Now, the remaining number that has not been used in any of the sides of the square is 4.

Therefore, it should be placed at the center of the square, as shown below:

The numbers on the colored circles are: 1, 2, 3, and 4. Thus, their sum is:

1 + 2 + 3 + 4 = 10

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Is this selection (A) the best one? a high positive number. The result of multiplying a negative number by a positive number is always negative.

The result of multiplying two numbers, whether they are positive or negative, is always positive. 3 plus 4 equals 12. The result is minus 12 since there is only one optimistic and one negative number.

Why does adding two negative numbers together results in a positive number?

Repeated subtraction equals multiplication by a negative. Negative numbers were reduced in negative value after they have been multiplied together. Students may easily relate both ideas thanks towards this comparison among both multiplication and addition.

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The bin has a width of 4 feet. The volume of the bin is 1.587 or 2 cubic feet.

The volume of a cube defines the number of cube units the cube completely occupies. The volume unit of a cube is a cubic unit, such as cm³, meter³, inch³, foot³, etc.

A cube is a three-dimensional solid figure with 6 square faces or sides. The volume of the cube will be the total space it occupies. Since all the faces of a cube are square, the sides are also of equal length.

Therefore, the length, width, and height of a cube are equal.

If the length, width, and height of the cube are equal to 'a, then:

The volume of the cube = a × a × a = a³

According to the Question:

Volume of cube = (side)³ = a³

a³ = 4

a = ∛4        

a = 1.587

  ≈ 2                    

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After answering the provided question, we can conclude thatAs a result, null hypothesis there is sufficient evidence to support John's claim that more than 25% of Wenatchee residents prefer Taco Bell.

A null hypothesis is a type of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Sample data is used to assess the viability of theories. H0 represents what is referred to as "zero" on occasion. The researchers make the assumption that there may be a relationship between the factors. The null hypothesis, which is on the other hand, claims that no such relationship exists. Although it may not appear to be significant, the null hypothesis seems to be an important part of research.

(a) p = 0.25 for the null hypothesis

p > 0.25 is an alternative hypothesis.

To test this hypothesis, we can use the z-Test for proportion.

(b) \s(c) (c) The test value can be calculated using the z-Test for proportion formula:

(p - p) / (p(1-p)/n) = z

where p represents the sample proportion, p represents the hypothesised population proportion, and n represents the sample size.

p = 63/200 = 0.315, p = 0.25, and n = 200 in this case. When we enter these values into the formula, we get:

z = (0.315 - 0.25) / √(0.25 * 0.75 / 200) = 2.34

The result of the test is 2.34.

(d) Because the test value (2.34) is greater than the critical z-value (1.645), the null hypothesis is rejected. As a result, there is sufficient evidence to support John's claim that more than 25% of Wenatchee residents prefer Taco Bell.

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The product of 2 and 1 3/6 can be expressed as either 18/6 or 3

The product of 2 and 1 3/6 can be found by multiplying 2 by the mixed number 1 3/6. To do this, we need to convert the mixed number to an improper fraction, then multiply it by 2. Here are two possible expressions that are equal to the product of 2 and 1 3/6

Improper fractions

2 x 1 3/6 = 2 x (1 + 3/6) = 2 x (6/6 + 3/6) = 2 x 9/6 = 18/6

Therefore, the product of 2 and 1 3/6 is equal to 18/6.

Decimals

We can also convert the mixed number 1 3/6 to a decimal and then multiply it by 2. To convert the mixed number to a decimal, we divide the numerator (3) by the denominator (6), which gives us 0.5. Then we add the whole number (1) to get 1.5.

2 x 1.5 = 3

Therefore, the product of 2 and 1 3/6 is equal to 3.

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Answer:

]]] explanation:

Therefore , the solution of the given problem of triangle comes out to be    h/s = h/√(h² - s²)..

If a polygon has at least one additional segment, it is a hexagon. Its form is a straightforward rectangle. Something like this can only be distinguished from a regular triangular by edges A and B. Euclidean geometry only creates a portion of the cube, despite the precise collinearity of the borders. A triangular has three sides and three angles.

Here,

Triangle ABC and triangle ACD are both right triangles with a common hypotenuse, as shown by the given diagram.

Let's write the lengths of the sides AB or AD as s and the hypotenuse AC as h. (since both triangles have a common side with length s).

The Pythagorean formula can now be used to determine the length of each triangle's third side:

Triangle ABC's third side's length (BC) can be calculated using this formula:

=> BC = √(h² - s²).

The third side's (CD) length in the triangle ACD is also determined by:

=> CD = √(h² - s²).

By dividing each triangle's hypotenuse's (h) length by one of its sides' (s) lengths, the following result is obtained:

In the triangular ABC,

=> h/s = h/ √(h² - s²).

In the triangular ACD

=>  h/s = h/√(h² - s²).

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Answer:

Step-by-step explanation:

17/x = 30/84  1. Set up the proportion

30x = 1428     2. Cross multiply and solve for x

x=47.6            3. There's the solution

The height of the tent is approximately 4.87 feet.

To find the height of the tent, we need to first determine the length of the altitude (perpendicular line) drawn from the apex (top point) of the triangle to the base. Let's call this length "h".

We can use the Pythagorean theorem to find "h". Let's draw a line from the apex of the triangle to the midpoint of the base, which will split the isosceles triangle into two congruent right triangles. Then we have

h^2 + (7/2)^2 = 6^2

h^2 + 49/4 = 36

h^2 = 36 - 49/4

h^2 = 95/4

h = sqrt(95)/2

h ≈ 4.87 ft

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The volume of 11 gallons is 50 litres.

The volume of 40 litres is 8.8 litres.

The capacity of the tank in gallons is 26.7 gallons

The graph of a proportional relationship is always a straight line through the origin.

Therefore, the graph is a relationship between the variables volumes in litres and gallons. The litres is on the y axis while the gallons is on the x axis.

Hence, let's use the graph to convert the volumes.

11 gallons = 50 litres

40 litres = 8.8 litres

A tank has a volume of 120, 000 cm cube.

1 litre  = 1000 cm³

The capacity of the tank in gallons can be found as follows:

1000 cm³ = 1 litres

120,000 cm³= ?

volume in litres = 120,000 / 1000

volume in litres = 120 litres

From the graph,

36 litres = 8 gallons

120 litres = ?

cross multiply

volume in gallons = 120 × 8  / 36

volume in gallons = 960 / 36

volume in gallons = 26.6666666667

Therefore, the capacity of the tank in gallons is 26.7 gallons

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Answer:

  a) 50 L

  b) 8.8 gal

  c) 26.4 gal

Step-by-step explanation:

Given a graph showing the relationship between (imperial) gallons and litres, you want equivalents for 11 gallons, 50 litres, and 120000 cm³.

You have correctly read the graph, which tells you 11 gallons is about 50 litres.

You have correctly read the graph, which tells you 40 litres is about 8.8 gallons.

You are told that 1000 cm³ is 1 litre, so 120,000 cm³ will be 120 litres.

You notice this is 3 times the volume of the previous question:

  120 L = 3×(40 L) = 3×(8.8 gal) = 26.4 gal

120000 cm³ is about 26.4 gallons.

__

Additional comment

A more precise conversion of 120000 cm³ is 26.3963097959... gallons. The decimal has a very long repeat.

67 people can maximize the profit.

Let's aasume that x represent the number of people.

so, the number of people on the tour = x + 50

The cost function would be:

C = 6000 + 32x

and the revenue:

R = (200 - 2x)(50 + x)

R = 10000 - 100x + 200x - 2x^2

R = 10000 + 100x - 2x²

So, the profit would be:

P = R - C

P = 10000 + 100x - 2x² - 6000 - 32x

P = 4000 + 68x - 2x²

Now we take the derivative of profit function:

P' = 68 - 4x

Consider P'(x) = 0

68 - 4x = 0

4x = 68

x = 17

So, the number of people on tour: 50+17 = 67

This means that 67 people can maximize the profit.

and the profit would be:

P = 4000 + (68 × 17) - (2 × 17²)

P = $4578

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Answer:

4 hours

Step-by-step explanation:

riding the bus. sidney rode on a bus for 2 1/4 hours + another 1 3/4 hours.

together, this is 4 hours.

The correct tiles that complete the pairs of corresponding angles are;

D                  [tex]\longrightarrow[/tex]                  H

G                  [tex]\longrightarrow[/tex]                  C

E                  [tex]\longrightarrow[/tex]                  A

B                  [tex]\longrightarrow[/tex]                  F

Corresponding angles are pairs of angles that are formed by the intersection of two parallel lines and a common transversal. The location of corresponding angles are in matching corners of the intersection such that their measures are equal. Corresponding angles are therefore, congruent.

The corresponding angles in the diagram included in the question are found in matching corners with regards to the common transversal and the parallel lines.

The corresponding angles in the figure are;

Angle ∠A corresponds to angle ∠E

Angle ∠B corresponds to angle ∠F

Angle ∠D corresponds to angle ∠H

Angle ∠C corresponds to angle ∠G

Therefore, we get;

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