Create a function table for the function y=−2x+1 . Input, x Output, y –2 –1 0 1

Answers

Answer 1

The function table for the function y=−2x+1 if given below so that Output of  y  could be –2, –1, 0, 1.

[tex]\left[\begin{array}{ccc}X&Y\\1/2&0\\1&1\\0&-1\\-1/2&-2\end{array}\right][/tex]


Here, Y and x are related in such a way that there is a distinct value of y for each value of x, and this relationship is frequently represented as y = f(x), or "f of x." In other words, the same x cannot have more than one value for f(x). The domain and range of the function are the set of values of f(x) that are produced by the values in the domain of the function, which is the set of values of x. In addition to f(x), other abbreviated symbols for functions of the independent variable x include g(x) and P(x), especially when the nature of the function is ambiguous or unspecified.

The function is an expression, rule, or law that establishes the relationship between two variables (the dependent variable). In mathematics, functions are everywhere, and they are crucial for constructing physical relationships in the sciences. German mathematician Peter Dirichlet first offered the modern definition of function in 1837.


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Related Questions

If my friend went to bed at 1:00am on Friday. Then she woke up at 1:00pm on Friday how many hours of sleep did she get?

Answers

If your friend went to bed at 1:00am on Friday and woke up at 1:00pm on Friday, she slept for 12 hours.

To see why, you can count the number of hours between 1:00am and 1:00pm:

1:00am to 2:00am = 1 hour

2:00am to 3:00am = 1 hour

...

11:00am to 12:00pm = 1 hour

12:00pm to 1:00pm = 1 hour

The total number of hours between 1:00am and 1:00pm is 12 hours.

Ida wants to buy a car, but she currently does not have any money. The car she wants costs $2500.
She could borrow $2500 at a weekly interest rate of 1% simple interest and pay the total after 12 months.
What would be the amount of interest (JUST INTEREST) she would owe at the end of 12 months?

Answers

Answer:

2200

Step-by-step explanation:

have a good day

An isosceles triangle has an angle that measures 90°. What measures are possible for the other two angles? Choose all that apply.

90 45 75 20

Answers

Step-by-step explanation:

All three angels of a triangle have to sum to 180 degrees ....so there is only 90 degrees left for the other two  equal-sized angles (isosceles).....they must be 45° each

Isosceles triangle has two sides of equal length. The triangle with the tree sides has to sum up to 180 degrees
Therefore 45 degrees is your answer

Circumference=14.4
Area =?

Answers

Answer:

[tex]a = \frac{1296}{5\pi} [/tex]

Step-by-step explanation:

Given:

C = 14,4 (circumference)

Find: A - ? (area)

Let's start by writing down both circumference and area formulas:

[tex]c = 2\pi \times r[/tex]

[tex]a = \pi \times {r}^{2} [/tex]

We can find the radius (r) from the 1st formula:

[tex]r = \frac{c}{2\pi} = \frac{14.4}{2\pi} =14 \frac{4}{10} \times \frac{1}{2\pi} = \frac{144}{10} \times \frac{1}{2\pi} = \frac{144}{20\pi} = \frac{36}{5\pi} [/tex]

Now, that we know the length of the radius, we can find the area:

[tex]a = \pi \times( { \frac{36}{5\pi} })^{2} = \frac{1296}{25 {\pi}^{2} } \times \frac{\pi}{1} = \frac{1296}{25\pi} [/tex]

These are the steps Brittany took to find the difference, but she made a mistake. Select the step at which Brittany made her first mistake. Then select the correct difference in simplest form. Select all the correct locations on the image.

Answers

Answer:

Step-by-step explanation:

4. The tree is 15 feet away from the edge of the lake. What is the distance across the lake (water's edge to opposite side)? Justify your decision.​

Answers

The distance across the lake, given the distance of the tree and Cade would be 14.36 ft.

How to find the distance ?

We can use the concept of similar triangles to solve this problem:

(Length of the tree's shadow) / (Distance from the tree to the edge of the lake) = (Length of Cade's shadow) / (Cade's height)

36.2 / 15 = 2.5 / 6.2

Now we can set up another proportion using the length of the tree's shadow and the length of the lake:

(Length of the tree's shadow) / (Length of the lake) = (Distance from the tree to Cade) / (Length of Cade's shadow)

Plugging in the values we know, we get:

36.2 / 15.6 = 15 / 2.5

6.2 * 2.32051282 = 14.36 ft

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The full question is:

The trees shadow is 36.2 feet long. The tree is 15 feet away from the edge of the lake. Cade is 6.2 feet tall and his shadow is 2.5 feet long, his shadow is measured at the exact time the trees shadow reaches the other side of the lake which is 15.6 feet long. What is the distance across the lake (water's edge to opposite side)​

6+4
7777777777777777777777777777777777

Answers

Answer:

10,
7777777777777777777777777777777777

Step-by-step explanation:

6+4= 10, all you need to Sonia count on your fingers

Here is Annie's method to find angle ABC. Explain the mistake that Annie has made. Let angle ABC = 0 8 sin == 10 8= sin-1 8 10 0 = 53.13 (2 dp) Is there more than one possible mistake? Find angle ABC. A 6 cm C 10 cm 8 cm -B​

Answers

Annie made mistake in her trigonometric ratios. The opposite side of the right triangle should be 6 cm not 8 cm.

How to find the angles of a right angle triangle?

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Annie tries to solve the angle ABC of the right triangle. The angle ABC can be found using trigonometric ratios as follows:

where

∅ = angle ABC

Therefore,

sin ∅ = opposite / hypotenuse

sin ∅ = 6 / 10

sin ∅ = 3 / 5

∅ = sin⁻¹ 0.6

∅ = 36.8698976458

∅ = 36.87 degrees

Therefore, she made mistake in her trigonometric ratios.

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select all the lines that intersect y=3
v

Answers

To identify which lines intersect the line y = 3, you would need to provide a list of lines to choose from. In general, any line that is not parallel to y = 3 will intersect it. Lines parallel to y = 3 will have equations of the form y = c, where c is a constant value different from 3.

Please explain on how to solve this Question

Answers

Answer:

i) ABCDEF has an area of 98m

ii) Flower bed has an area of 6m

iii) The area of the grass is 92m

Hope this helps!

Step-by-step explanation:

The area of a triangle is  [tex]\frac{1}{2}[/tex] × L × H

The area for the triangle flower bed will be [tex]\frac{1}{2}[/tex] × 6m × 2m or 6m.

In order to find the entire area of ABCDEF, draw a segment FC to create a trapezoid and a rectangle. The rectangle has an area of 77m ( 7 × 11 ). The trapezoid has a formula of [tex]\frac{1}{2}[/tex] × ( b + b ) × h, this would be [tex]\frac{1}{2}[/tex] × ( 10 + 11 ) × 2.

The trapezoid has an area of 21, this added to the rectangle's area of 77 equals 98m as the total area of the garden.

Subtract the area of the flower bed ( 6 ) from the area of the garden, and you get an area of 92m. This is the area of grass.

The point P(-1, 6) is rotated 180° counterclockwise around the origin. What are the coordinates of the resulting point, P'?

Answers

The coordinates of the resulting point, P' as required to be determined in the task content is; (1, -6).

What are the coordinates of the image point?

It follows from the task content that the coordinates of the image point P' formed when point P(-1, 6) is rotated 180° counterclockwise around the origin is to be determined.

On this note, since a rotation of 180° is such that we have;

(x , y) ======> (-x, -y).

Hence, when point P(-1, 6) is rotated 180° counterclockwise around the origin, the resulting image point, P' has coordinates; (1, -6).

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I am needing some help​

Answers

28.26 is the volume of the fig.

What is volume?

Each thing in three dimensions takes up some space.

The volume of this area is what is being measured.

The space occupied within an object's borders in three dimensions is referred to as its volume.

It is sometimes referred to as the object's capacity.

Knowing an object's volume can help us calculate the quantity needed to fill it, such as the volume of water needed to fill a bottle, aquarium, or water tank.

Hence, 28.26 is the volume of the fig.

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⚠️URGENT !!! ⚠️Bonjour, pouvez-vous m'aider a resoudre ce problème ?


Énoncé :

Paul roule avec son vélo à la vitesse constante de 8,3m/s (30km/h) pendant une durée égale à 120 secondes.


Question :

Quelle durée mettra-t-il à cette vitesse pour parcourir 3km ?


Merci d'avance,

Bonne journée.

PS : est-il possible de mettre me calcul pour que je comprenne mieux?

Answers

bonjour,

a) on pourrait faire un produit en croix

8,3 m ----> 1s

combien de m en ----> 120s

120*8,3= 996m en 120s

soit 0,996 km (on décale de 3 rangs vers la gauche)

il parcoure donc 996m en 120secondes

b) pour parcourir 3km, de même faisons un produit en croix

(3 km = 3000m)

8,3 m ---> 1s

3000m ----> combien de secondes ?

3000*1/8,3= environ 361,45 secondes

transformons les en heures, minutes

361,45/60 = 6,02 minutes

0,02*60= 1,2

donc pour parcourir 3km, à cette vitesse, il mettra environ 6 minutes et 1 seconde.

c) posons un produit en croix :

vitesse en km/h

15km ----> 25 min

? -----> 60 min (1h)

60*15/25= 36

donc il a une vitesse de 36km/h

vitesse en km/mn

15km ----> 25 min

?km ------> 1 min

1*15/25 =0,6 km/mn

voilà j'espère t'avoir aidé

si t'as des questions n'hésite pas

Can sombody help me with I=prt this is stressing me out .

Answers

The result will be the amount of interest earned or paid. Don't stress out too much - with a little practice, you'll become an expert at using this formula!

Sure, I'd be happy to help you with I=prt! This formula is used to calculate simple interest. "I" stands for the interest, "p" stands for the principal (the amount of money borrowed or invested), "r" stands for the interest rate (expressed as a decimal),

and "t" stands for the time period (usually expressed in years). To use the formula, simply multiply the principal by the interest rate and the time period (in years).

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Find the image matrix for quadrilateral ABCD
after the composite transformation.

A(−10, 0), B(−8, 6), C(−3, 7), and D(0, 3)
Rotation: 270º

Reflection: y = -x

Answers

The required transformed coordinates of the quadrilateral as:A'(-10, 0),B'(-8, -6),C'(-3, -7), D'(0, -3).

How to find the image matrix for quadrilateral ABCD?

The image matrix for the composite transformation of a rotation of 270º and a reflection over the line y=-x can be found by multiplying the transformation matrices for each operation.

The rotation matrix for 270º counterclockwise can be represented as:

[tex]$R_{270} = \begin{bmatrix}0 & -1 \1 & 0\end{bmatrix}$[/tex]

The reflection over the line y=-x can be represented as:

[tex]$F_{y=-x} = \begin{bmatrix}0 & -1 \-1 & 0\end{bmatrix}$[/tex]

To find the composite transformation matrix, we multiply the two matrices:

[tex]$M = F_{y=-x} \cdot R_{270} = \begin{bmatrix}0 & -1 \-1 & 0\end{bmatrix} \cdot \begin{bmatrix}0 & -1 \1 & 0\end{bmatrix} = \begin{bmatrix}1 & 0 \0 & -1\end{bmatrix}$[/tex]

To apply this transformation to the coordinates of the quadrilateral ABCD, we write each point as a column vector:

[tex]$A = \begin{bmatrix}-10 \0\end{bmatrix}$[/tex],

[tex]$B = \begin{bmatrix}-8 \6\end{bmatrix}$[/tex],

[tex]$C = \begin{bmatrix}-3 \7\end{bmatrix}$[/tex],

and

[tex]$D = \begin{bmatrix}0 \3\end{bmatrix}$[/tex]

We can then apply the composite transformation matrix M to each of these vectors:

[tex]$A' = M \cdot A = \begin{bmatrix}1 & 0 \0 & -1\end{bmatrix} \cdot \begin{bmatrix}-10 \0\end{bmatrix} = \begin{bmatrix}-10 \0\end{bmatrix}$[/tex]

[tex]$B' = M \cdot B = \begin{bmatrix}1 & 0 \0 & -1\end{bmatrix} \cdot \begin{bmatrix}-8 \6\end{bmatrix} = \begin{bmatrix}-8 \-6\end{bmatrix}$[/tex]

[tex]$C' = M \cdot C = \begin{bmatrix}1 & 0 \0 & -1\end{bmatrix} \cdot \begin{bmatrix}-3 \7\end{bmatrix} = \begin{bmatrix}-3 \-7\end{bmatrix}$[/tex]

[tex]$D' = M \cdot D = \begin{bmatrix}1 & 0 \0 & -1\end{bmatrix} \cdot \begin{bmatrix}0 \3\end{bmatrix} = \begin{bmatrix}0 \-3\end{bmatrix}$[/tex]

We can then write the transformed coordinates of the quadrilateral as:

A'(-10, 0),

B'(-8, -6),

C'(-3, -7),

D'(0, -3)

Therefore, the image matrix of quadrilateral ABCD after the composite transformation is:

[tex]$ \begin{bmatrix}-10 & -8 & -3 & 0 \0 & -6 & -7 & -3\end{bmatrix}$[/tex]

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Solve for w.


−(14w+8)+8=3


w=134


w=−12


w=−34


w=52

Answers

The solution to this given question should be -3/14. We can find it in the following manner.

−(14w+8)+8=3

-14w - 8 + 8 = 3

-14w = 3 (+8 and -8 get cancelled)

w = -3/14

This is how one can simplify the equation and solve for w.

None of the given options match the solution we obtained. Therefore, there may have been an error in the question or the answer choices.

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

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you have been asked to design a can shaped like right circular cylinder that can hold a volume of 432⇡-cm3. what dimensions of the can (radius and height) will use the least amount of material?

Answers

The dimensions of the can that use the least amount of material are a radius of approximately 4.38 cm and a height of approximately 3.11 cm.

To design a can that uses the least amount of material, we want to minimize its surface area. Since the can is shaped like a right circular cylinder, its surface area is given by:

A = 2πr² + 2πrh

where r is the radius of the base of the cylinder and h is its height.

We also know that the volume of the can is given by:

V = πr²h

We can use these equations to express h in terms of r, and then substitute this expression for h into the equation for surface area. Then we can differentiate the resulting equation with respect to r, set it equal to zero, and solve for r to find the value of r that minimizes surface area.

First, we solve for h in terms of r by rearranging the equation for volume:

h = V/(πr²)

Substituting this expression for h into the equation for surface area, we get:

A = 2πr² + 2πr(V/(πr²))

A = 2πr² + 2V/r

To minimize A, we differentiate with respect to r:

dA/dr = 4πr - 2V/r²

Setting this expression equal to zero and solving for r, we get:

4πr = 2V/r²

r³ = V/(2π)

Substituting the given value for V, we get:

r³ = 432/2π

r ≈ 4.38 cm

Now we can use the expression for h in terms of r to find the corresponding height:

h = V/(πr²) ≈ 3.11 cm

Therefore, the dimensions of the can that use the least amount of material are a radius of approximately 4.38 cm and a height of approximately 3.11 cm.

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Gizmo
Helpp pleaseee
25 points!!

Answers

Model reef can sustain 20% net fishing  because the species didn’t increase as much as it did with the other net fishing method.

Explanation:

What is reef fishing ?

Reef fishing is commonly called “Bottom Bouncing” where anglers using heavy 60-100lb handline and rod techniques to target such prized eating fish as Coral Trout, Red Emperor and Nannygai.

What is net fishing ?

A fishing net is a net used for fishing. Nets are devices made from fibers woven in a grid-like structure. Some fishing nets are also called fish traps, for example fyke nets.

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A car's wheels are 20 in. in diameter. How far (in mi) will the car travel if its wheels revolve 10,000 times without slipping. ______mi​

Answers

If the car's wheels revolve 10,000 times without slipping, the car will travel approximately 9.92 miles.

How far (in mi) will the car travel if its wheels revolve 10,000 times without slipping?

The circumference of a circle (which is the distance around it) is given by the formula:

C = πd, where d is the diameter of the circle.

In this case, the diameter of the car's wheels is 20 in., so the circumference of each wheel is:

C = πd

C= π(20 in.) =

C = 20π in.

If the car's wheels revolve 10,000 times without slipping, then the total distance the car travels is:

distance = number of revolutions × circumference

distance = 10,000 × (20π in.)

To convert this distance to miles, we need to divide by the number of inches in a mile, which is 63,360 in.

distance = (10,000 × 20π in.) / 63,360 in./mi

distance = 9.92 miles

Therefore, distance traveled by the car is 9.92 miles.

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How do I check what answers I got correct on Edmentum?

Answers

Below are few steps given to check what answer you got correct on edmentum.

What is edmentum?

Edmentum is an online learning platform that offers educational software and digital curriculum for K-12 students.

What is use of edmentum?

Edmentum is designed to support student learning and achievement, provide teachers with the tools and resources they need to be successful, and help schools and districts meet their academic goals.

According to given information:

To check your answers on Edmentum, you can navigate to the assignment or quiz that you completed and click on the "View Results" button. This will show you a breakdown of your score and which questions you answered correctly or incorrectly.

If you want to review specific questions and their answers, you can click on the individual question numbers to see the question prompt and your response. Depending on how your instructor has set up the assignment or quiz, you may also be able to see the correct answer and an explanation for why it is correct.

If you have trouble finding your results or accessing specific information, you can reach out to your instructor or the Edmentum support team for assistance.

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If a + c = 4.98 and b + c = 6.48, what is the value of b^2+bc-ab-ca?

A) 7.47
B) 8.16
C) 9.08
D) 9.72
E) None of the preceding

Answers

Answer:

it is option no d at least

cuz it is what it is

the library is having a used book sale books cost $3 each or 10 for 25 if you buy 10 how much do you save on each book?

Answers

you save $0.50 each and $5 total
25/10=2.5 per book
3/2.5=0.5 saved per book

Gumballs cost $0. 50 each, and jawbreakers cost $0. 30 each. Bob has $3. 00 to spend on candy.


Create an inequality that represents the number of gumballs and jawbreakers Bob can buy

Answers

This inequality states that the total cost of buying x gumballs and y jawbreakers must be less than or equal to $3.00.

Let x be the number of gumballs that Bob buys, and let y be the number of jawbreakers that Bob buys.

The cost of buying x gumballs is $0.50 times x, or 0.50x. The cost of buying y jawbreakers is $0.30 times y, or 0.30y.

Bob has $3.00 to spend on candy, so we can write an inequality to represent the total cost of buying both types of candy:

0.50x + 0.30y ≤ 3.00

This inequality states that the total cost of buying x gumballs and y jawbreakers must be less than or equal to $3.00.

Note that this inequality assumes that Bob spends all of his money on candy. If Bob wants to save some money or spend it on something else, the inequality would need to be modified accordingly.

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The tables represent the points earned in each game for a season by two football teams. Saints
21 12 3
3 10 10
14 3 12
28 40 10
17 20 7
Cowboys
10 3 8
6 24 12
21 3 10
28 28 7
7 13 3

Which team had the best overall record for the season? Determine the best measure of center to compare and explain your answer. Cowboys; they have a larger median value of 10 points
Saints; they have a larger median value of 12 points
Cowboys; they have a larger mean value of about 12. 2 points
Saints; they have a larger mean value of about 14 points

Answers

The Saints had the best overall record for the season because they had a larger mean value of about 200 points, whereas the Saints had a larger median value of 12 points.

To determine which team had the best overall record for the season, we need to consider the total number of points earned by each team across all games. We can calculate the total points for each team by adding up the points earned in each game.

For the Saints:

Total points = 21+12+3+3+10+10+14+3+12+28+40+10+17+20+7 = 200

For the Cowboys:

Total points = 10+3+8+6+24+12+21+3+10+28+28+7+7+13+3 = 183

Therefore, the Saints earned a total of 200 points, while the Cowboys earned a total of 183 points. Therefore, the Saints had the better overall record for the season.

To compare the central tendency of the points earned by each team, we can use either the mean or the median. However, in this case, the median is a better measure of center because it is less sensitive to extreme values than the mean.

Calculating the median for each team:

For the Saints:

Arrange the points earned in ascending order: 3 3 7 10 10 12 12 14 17 20 21 28 40

The median value is the middle value, which is 12.

For the Cowboys:

Arrange the points earned in ascending order: 3 3 6 7 8 10 10 12 13 21 24 28

The median value is the middle value, which is 10.

Therefore, the Cowboys have a median value of 10 points, while the Saints have a median value of 12 points. However, as we already determined, the Saints had a better overall record for the season based on the total points earned.

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Help me asap please

Answers

Answer:

4

Step-by-step explanation:

because it median, so it number  was the middle of the total

as we know there is total of 9

and we count to 5

so it 4 letters

Answer:

4

Step-by-step explanation:

arranging the name lengths from smallest to largest we have; 3,3,3,3,4,5,7,7,9

From the set of numbers,4 appears at the middle hence the median name length.

Evaluate the following expression.

Answers

Using the laws of exponents, the solution to the given problem is: 25

How to use laws of exponents?

Some of the laws of exponents are:

1) Product of powers rule: This means that we add powers together when multiplying like bases.

2) Quotient of powers rule: This means that we subtract powers when dividing like bases.

3) Power of powers rule: This means that we multiply powers together when raising a power by another exponent.

4) Power of a product rule: This means that when any base is being multiplied by an exponent, distribute the exponent to each part of the base.

5) Negative exponent rule: This means that when there is a number being raised by a negative exponent, flip it into a reciprocal to turn the exponent into a positive

We are given the expression:

[tex]\frac{1}{5^{-2} }[/tex]

Using the negative exponent rule, we will have:

5² = 25

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A scientist has three small jars of chemicals to use for an experiment jar one has a mass of 0.62 g jar to has a mass of 1.431 g jar three has a mass of 0.5 g what is the total mass of jars in grams complete the chart Each box

Answers

According to the question we can conclude that the total mass of the jars is 2.561 g.

Explain law of mass conversion?

The mass is the amount of matter in an object. It is measured in grams, kg, ect. According to the law of conservation, mass in such an isolated system may only be changed through one form to another and cannot be created or destroyed.

To find the total mass of the jars, we simply need to add up the masses of jar one, jar two, and jar three:

Total mass of jars = mass of jar one + mass of jar two + mass of jar three

Total mass of jars = 0.62 g + 1.431 g + 0.5 g

Total mass of jars = 2.561 g

So the total mass of the jars is 2.561 g.

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6. According to a survey, 33 out of 120 seventh-graders At Monroe Middle School play an
instrument in the school band. What percent of the seventh-grade students at Monroe
Middle School play in the school band?
A. 27.5%
B. 33.3%
C. 37.5%
D.43.3%

Answers

After answering the provided question, we can conclude that As a result, percentage the answer is A. 27.5%.

What is percentage?

A percentage is a ratio or number expressed as a percentage of 100 in mathematics. The abbreviations "pct.," "pct," and "pc" are also used on occasion. Despite this, the percentage symbol "%" is commonly used to represent it. The % value is dimensionally empty. In essence, percentages are fractions with a denominator of 100. To indicate that a number is a percentage, a percent sign (%) should be placed next to it. For example, you receive a 75% on an exam if you correctly respond to 75 out of 25 pages (75/100). Divide the result by 100 after dividing the amount by the total when calculating percentages. The percentage is found by multiplying (value/total) by 100%.

To calculate the percentage of Monroe Middle School seventh-graders who participate in the school band, divide the number of students who play an instrument by the total number of seventh-graders and multiply the result by 100.

There are 33 seventh-graders in the school band, and there are 120 seventh-graders in total. Therefore:

percentage = (33 / 120) x 100% % = 27.5%

As a result, the answer is A. 27.5%.

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Ines's younger brother will be home in a half hour. If her garden hose flows at a rate 24​ gal/min, does she have enough time to fill the pool before he gets​ home? Explain. ​

Answers

No, she have not enough time to fill the pool before he gets home. The garden hose with flow rate 24 gal/min will take 40 minutes to complete fill up the tank that is t ~ 40 minutes. So, she cannot complete fill up the pool before he come.

We have, the time in which Ines's younger brother will be home = an half hour = 1/2 hour

water flow rate of garden's hose = 24 gal/min

She want to fill up the pool. From the figure, depth of pool = 3 ft

Width of pool = 10 in.

1 inch = 0.0833 feet

So, 10 inches = 0.833 feet

outer diameter of pool = 9 ft

so, outer radius of pool = 4.5 ft

Now, inner diameter of pool/tank = outer diameter - 2(width)

= 9 - 2×0.833

= 9 - 1.666 = 7.334

Inner radius of pool = 7.334/2 = 3.667 ft

Water flow rate, Q = 24 gal/min

= 24/7.48 gal ( since 1 ft³ = 7.48 gal)

= 3.20 ft³

Using formula, Q = volume/ time

where t --> time to fill up the pool through hose

Volume of tank/pool = surface area × height (depth)

= π r² × h , where r is inner radius

= π (3.667)² × 3 ft³

= 126.71 ft³

So, Q = 126.71 ft³/t

=> t = 126.71 ft³/3.20 ft³

=> t = 39.59 min

Hence, required time is 39.59 ~ 40 minutes and she cannot complete before he come.

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Complete question:

Ines's younger brother will be home in a half hour. If her garden hose flows at a rate 24 gal/min, does she have enough time to fill the pool before he gets home? See the above figure

Explain. (Hint: 1 ft³ = 7.48 gal)

The arithmetic mean of 25, 29, and x is 29. Find x.

Answers

The formula for the arithmetic mean is:

(mean) = (sum of terms) / (number of terms)

In this case, we know that the mean is 29 and there are three terms (25, 29, and x). So, we can write:

29 = (25 + 29 + x) / 3

Multiplying both sides by 3, we get:

87 = 25 + 29 + x

Simplifying, we get:

87 = 54 + x

Subtracting 54 from both sides, we get:

x = 33

Therefore, the missing number is x = 33.
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