MATHEMATICS HIGH SCHOOL

PLZ HELP ASAP2. One load of gravel contains 240 ft2 of gravel. The area A that the gravel will cover is inversely proportional to the depth of d to which the gravel is spread.
a. Write an inverse variation model for the relationship between the area and depth for one load of gravel.
b. A designer plans a playground with gravel 6 in. deep over the entire play area. If the play area is a rectangle 40 ft. wide and 24 ft long, how many loads of gravel will be needed? (4 points)

I understand everything else but this question.

Answers

Answer 1

Answer:

Answer:

A. y= $(z*240ft\n\n^(3) )/(x)$

B. z= 2

Step-by-step explanation:

The format for the inverse variation formula is y =

This is a bit different compared to the format of directly variation formula y= kx

In this case, one load of gravel have $240 ft^(3)$ volume. The area is inversely proportional with depth, so formula for the volume is Area x Depth (V= A x D). The inverse variation formula will be: A= V/D

If the number of loads=z, each load is $240 ft^(3)$ , area = y and depth = x , then the model will be:

y= $(z*\nk)/(x)$

y= $(z*240ft\n\n^(3) )/(x)$

The play area is a rectangle 40 ft wide and 24 ft long, then the area will be: area = 40ft * 24ft= 960 $ft^(2)$

We have area(y= 960 $ft^(2)$ ) and depth(x= 6 in- 0.5 ft) , now we can find out the number of loads needed(z) by using the equation.

y= $(240ft*z\n\n^(3) )/(x)$

960 $ft^(2)$ = $(z*240ft\n\n^(3) )/(x)$

$480 ft^(2) * z$ = 960 $ft^(2)$

z= $(960ft^(2) )/(480ft^(2))$ = 2

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Answers

Answer:

27/5

Step-by-step explanation:

The formula a= bf-v1 is used to calculate acceleration as the change in velocity over a period of time. Solve the formula for the final velocity, bf in terms of initial velocity, v1, acceleration, a, and time,

Answers

Answer:

The formula for the final velocity, bf in terms of initial velocity, v1, acceleration, a, and time is given as

$bf=v1+a* t$

Step-by-step explanation:

Given:

$a=(bf-v1)/(t)$

To Find:

bf = ?

Solution:

Acceleration:

Acceleration is defined as the ratio between the change in velocity of an object and the time it takes for the object to change the velocity.

In formula, this is written as:

$a=(v_(f)-v_(i))/(t)$

Where,

'a' is the Acceleration.

'vf' is the final velocity.

'vi' is the initial velocity.

't' is the time it takes for the object to accelerate from vf to vi

Here it is given as

$a=(bf-v1)/(t)$

So,

Where,

'a' is the Acceleration

'bf' is the final velocity.

'v1' is the initial velocity.

't' is the time it takes for the object to accelerate from bf to v1.

On Solving the above equation 'bf' we get

$a=(bf-v1)/(t)\n\na* t=bf-v1\n\nbf=v1+a* t$ ....As required

Final answer:

In physics, the formula bf = a + v1 is used to calculate the final velocity in terms of the initial velocity, acceleration, and time. If acceleration is zero, final and initial velocities are equal, pointing to constant velocity. If acceleration is negative, the final velocity is less than the initial, indicating deceleration.

Explanation:

The equation a = bf - v1 is used to calculate acceleration, defined as the change in velocity over a period of time. To solve for the final velocity, bf, we simply need to rearrange the equation.

So, bf = a + v1. This equation tells us that the final velocity is equal to the sum of the initial velocity and the acceleration.

Other insights we can gather from this equation include: if acceleration is zero, the final and initial velocities are equal, pointing to constant velocity. This is because there's no change in speed. Conversely, if acceleration is negative, the final velocity is less than the initial, indicating a decrease in speed or deceleration.

Learn more about Final Velocity here:

brainly.com/question/28608160

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Write a negative integer and a positive integer whose sum is -3.

Answers

(-6) + 3 = -3 ;
The negative integer is -6; the positive integer is 3.

−5+2

That's one of the may possible answers.

What is the correct classification of 23x + 16?

Answers

The mathematical expression 23x+16 is a binomial. A binomial is a polynomial which has only two terms.

I don’t know how to answer this

Answers

Answer:

m∠1=66

m∠3=66

m∠4=114

Step-by-step explanation:

m∠1+m∠2=180

m∠1+114=180

m∠1=66

m∠1=m∠3

66=m∠3

m∠4=m∠2

m∠4=114

Mary throws a plastic disc to her friend, which her friend catches six seconds after Mary throws it. The table shows the height of the disc at one-second intervals. Assuming that the throw represents projectile motion, what are the missing values in the table?

Answers

Unfortunately, there is no given table. However, assuming no air resistance, the projectile moves in constant acceleration in the y-axis, while constant velocity in the x-axis. If the total time of flight is 6 seconds, then at 3 seconds the reaches its maximum height. Also, there is no given initial velocity, which means any useful calculation is impossible.

Answer:

The answer is A = 4 and B = 3 or C on edge

Step-by-step explanation:

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