A rectangular prism is 18.2 feet long and 16 feet wide. Its volume is 3,494.4 cubic feet. What is the height of the rectangular prism?

height = feet

Answer:

y = (-a n + 32)/(a - 10)

Step-by-step explanation:

Solve for y:

a (y + n) = 10 y + 32

Expand out terms of the left hand side:

a n + a y = 10 y + 32

Subtract a n + 10 y from both sides:

y (a - 10) = -a n + 32

Divide both sides by a - 10:

Answer: y = (-a n + 32)/(a - 10)

Answer:

Step-by-step explanation:

HEY

( -2,-18 ) is the coordinate of the other endpoint of the segment.

The midpoint formula is expressed as;

M = ( (x₁+x₂)/2, (y₁+y₂)/2 )

Given the data in the question;

Endpoint P (0,14)

Midpoint F (-1,-2)

Endpoint 2

To determine the other endpoint, plug the given points into the midpoint formula above and solve for x₂ and y₂.

(x,y) = ( (x₁+x₂)/2, (y₁+y₂)/2 )

(-1,-2) = ( (0 + x₂ )/2, ( 14 +y₂ )/2 )

(-1,-2) = ( (0 + x₂ )/2, ( 14 +y₂ )/2 )

First we solve for x₂.

-1 =  (0 + x₂ )/2

-1 × 2 = 0 + x₂

-2 = x₂

x₂ = -2

Next, solve for y₂.

-2 = ( 14 + y₂ )/2

-2 × 2 = ( 14 + y₂ )

-4 = 14 + y₂

y₂ = -4 - 14

y₂ = -18

Therefore, the coordinates of the endpoint are ( -2,-18 ).

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Answer

8:28 Hope this helps.

The general solution of f(x) is: \(f(x) = A + 1/2 x\)

We are given that:

\(f(x) H f(x) = x^{-3}\)

where H denotes the Hilbert transform.

To find \(f^{40} (x)\), we first need to find the general solution of f(x).

We can start by applying the Hilbert transform to both sides of the equation:

\(H[f(x) H f(x)] = H[x^{-3} ]\)

Using the properties of the Hilbert transform, we can simplify the left-hand side:

\(f(x) = -H^2[f(x)] - x^{-3}\)

where H^2[f(x)] denotes the double Hilbert transform of f(x).

Next, we can apply the Hilbert transform again to both sides:

\(H[f(x)] = -H^3[f(x)] - H[x^{-3} ]\)

Using the fact that\(H^2[f(x)] = -f(x)\), we can simplify the left-hand side:

\(-H[f(x)] = -H^3[f(x)] - H[x^{-3} ]\)

Multiplying both sides by -1, we get:

\(H[f(x)] = H^3[f(x)] + H[x^{-3} ]\)

Using the fact that \(H^3[f(x)] = -H[f(x)],\) we can simplify the equation further:

\(2H[f(x)] = H[x^{-3} ]\)

Applying the Hilbert transform once more, we get:

\(f(x) = -1/2 H^2[x^{-3} ]\)

Using the fact that \(H^2[x^{-3} ] = -x\), we can simplify the right-hand side:

\(f(x) = 1/2 x\)

Now, we can find f^(40)(x) by differentiating f(x) 40 times:

\(f(x) = 1/2 x\\f'(x) = 1/2\\f''(x) = 0\\f'''(x) = 0\\...\)

\(f^{40} (x) = 0\)

Therefore, the general solution of f(x) is:

\(f(x) = A + 1/2 x\)

where A is a constant.

And, the 40th derivative of f(x) is zero.

It's important to check that the general solution satisfies the original equation. In this instance, we can confirm:

\(f(x) H f(x) = (A + 1/2 x) H (A + 1/2 x) = x^{-3}\)

which is indeed satisfied if we set A = 0.

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Answer:

A.

Step-by-step explanation:

Given that point P partitions a directed line segment from A to B into the ratio 3:4, we are to determine how close P is to either A or B.

To do this, we take an example.

Let the length of line segment AB be 14 Units.

Since P divides AB in the ratio 3:4

Therefore, from the above, we can conclude that P will be closer to A as its distance from A is shorter than its distance from B.

The correct option is A.

Answer:

Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why?

A number line goes from point A to point B. A line is drawn from point A to point B.

Right Answer  A.)   P will be closer to A because it will be Three-sevenths the distance from A to B.  

Wrong Answer  B.)   P will be closer to A because it will be Four-sevenths the distance from A to B.

Wrong Answer C.)    P will be closer to B because it will be Three-sevenths the distance from B to A.

Wrong Answer D.)   P will be closer to B because it will be Four-sevenths the distance from B to A.

Step-by-step explanation:

Answer:

3/17=.18

Step-by-step explanation:

There is a .18 or 3/17 chance that a car leaving will be black.

The range is the difference between the longest hike and the shortest hike.

Longest = 5

Shortest = 1

Range = 5-1 = 4 miles

A. Quadrant I

B. Quadrant I

C. Quadrant II

D. Quadrant III

Answer:

(4, -13)

Step-by-step explanation:

Let A have coordinates (x,y).

\(\frac{x+8}{2}=6 \implies x=4 \\ \\ \frac{y-1}{2}=-7 \implies y=-13 \\ \\ \therefore A=(4, -13)\)

The coordinate of point A will be (4, 5).

Let AB be the line segment and C be the mid-point of line segment AB.

Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).

Then the coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

If M(6, -1) is the midpoint of AB, and B has the coordinates (8, -7).

Then the coordinate of point A will be

(6, -1) = [(x₁ + 8) / 2, (y₁ - 7) / 2]

(12, -2) = [(x₁ + 8), (y₁ - 7)]

(12 - 8, -2 + 7) = (x₁, y₁)

(x₁, y₁) = (4, 5)

The coordinate of point A will be (4, 5).

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Answer:

y/5= x

Step-by-step explanation:

y=5x

divide both sides by 5

y/5=5x/5

five will cancel five so x is left to stand alone

x=y/5

(0, 7) adding ordered pairs to the set {(0, 1), (2, 4), (3, 5)} would make it not a function.

A function is a relationship between a number of inputs and outputs. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. There is a range, codomain, and domain for every function. The graph is a function if any vertical line drawn can cross it at no more than one point. The graph is not a function if there is any location where a vertical line can cross it at two or more points. The relationship between the input or domain and the output or range is known as the function rule. A relation is a functional if and only if each subdomain value has a single value in the range.

Determine whether {(0, 1), (2, 4), (3, 5)} is a function.

True.

(0, 7) adding ordered pairs to the set {(0, 1), (2, 4), (3, 5)} .

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Answer: A

Step-by-step explanation:

The coefficient of each x of each equation is the slope of that equation. So, you can find the slope of the lines.

For the red line, you see the line passes the (0, 2) point. It also passes (-4, -1). Since you have two points, you can find the slope. The slope is (y2-y1)/(x2-x1). Plugging these in, you get (-1-2)/(-4-0), which results in a slope of 3/4.

Now for this line, you can find the y-intercept to find the equation, which is where the line touches the y axis. This point is (0, 2). So, the equation for the red line is y = 3x/4 + 2, which is option A.

You don't need to find the equation for the blue line since all the other answers are incorrect.

Answer:1130.97

Step-by-step explanation:

V=πr2h=π·62·10≈1130.97336

The area of a rectangular swimming pool is given by the product of its length and width, while the volume of the pool is the product of the area and its depth.

He area of the pool is given as \(4x² + 3x - 10\), while the depth is given as 2x - 3. To find the volume of the pool, we need to multiply the area by the depth. The expression for the area of the pool is: Area\(= 4x² + 3x - 10\)Since the length and width of the pool are not given.

We can represent them as follows: Length × Width = 4x² + 3x - 10To find the length and width of the pool, we can factorize the expression for the area: Area

\(= 4x² + 3x - 10= (4x - 5)(x + 2)\)

Hence, the length and width of the pool are 4x - 5 and x + 2, respectively.

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The number of portion with each having 12 fruits is at most 6 portions.

To divide the fruits into 12 portions

Total number of fruits = 80

Number of fruits per portion = 12

Number of fruits per portion = (Total number of fruits / Number of fruits per portion )

Number of fruits per portion = 80/12 = 6.67

Therefore, to divide the fruits into 12 fruits , There would be at most 6 portions.

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Answer: I believe the answer is 30

Step-by-step explanation:

you set them equal to each other

3x +5=4x -35

3x=4x-30

-x = -30

x= 30

Answer:

B. 9(2x+1/3) is equivalent to 18x+3.

hope it helps .

Answer:

Well it's definitely not D or E, so I did math and I'm almost positive that it's A.

Part (c) is the correct option i.e. The total dealer's cost is $16588.36.

What is Percentage ?

Percentage, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolised as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Given, Cost paid for car's options = 82 % $3,098 = $2540.36

           Cost paid for base price = 85 % $15,480 = $13158.

           Destination charge = $890

∴ The total dealer's cost will be :

 = Cost paid for car's options +  Cost paid for base price +  Destination charge

=  $2540.36 + $13158 + $890

= $16588.36.

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This is just an algebraic problem, the correct option is:

"Myra should have multiplied 4.5 and 2.1 first."

Here we want to evaluate the expression:

-31.7 + 4.5*x

in x = 2.1

This just means that we need to replace x by 2.1 in the given equation.

Now, what Myra does is:

-31.7 + 4.5*2.1 = -27.2*2.1

So she took the sum between -31.7 and 4.5 first, this is her mistake, you only would do that if the expression was:

(-31.7 + 4.5)*2.1

But in our expression:

-31.7 + 4.5*2.1

The first thing you need to solve is the product in the second term, so we get:

-31.7 + 4.5*2.1 = -31.7 + 9.45 = -22.25

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Answer: 30 and 40

Step-by-step explanation: 38 Is in between 30 and 40 which are both multiples of 10. So that's why 30 and 40 are both of the correct answers.

228 ÷ 6                                                                                                                       38                                                                                                                            

Answer:

1/16 chance that it will land on 16 because there are 16 faces

Answer:

1/16.

Step-by-step explanation:

That will be 1 chance in 16.

\(f(x) = 3 \sqrt[3]{x} \)

\(lim f(x) = 3 \sqrt[3]{ - \infty } = - \infty \\ x = > - \infty \)

\(limf(x) = 3 \sqrt[3]{ \infty } = \infty \\ x = > \infty \)

Answer:

As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.

Step-by-step explanation:

I got it right on the test.

Answer: look at the image for the answer and explanation

Step-by-step explanation:

Answer:

m/s

Step-by-step explanation:

distance d is measured in meters (m)

time t is measured in seconds (s)

⇒ s = d/t

⇒ s = m/s

A , B, C are the amounts of each product

10A + 8B + 20C = 6000 <--- volume constraints

10A + 20B + 40C = 11000  <---- weight constraints

100A + 20B + 200C = 36900  <---- $$$$

Byproducts are things created in a process, typically one that is industrial or biological, in addition to the main result. A byproduct of the sugar refining process is sulfured molasses.

the first two equations together:

10A + 8B + 20C = 6000

10A + 20B + 40C = 11000

first is subtracted from second: 12B + 20C = 5000 3B + 5C = 1250 —- identifies this equation. ALPHA

Connect the second and third equations:

10A + 20B + 40C = 11000

100A + 20B + 200C = 36900

The top equation is multiplied by 10:

100A + 200B + 400C = 110000 —— Weight restrictions

100A + 20B + 200C = 36900 <—— $$$$

takes them away:

180B + 200C = 73100

18B + 20C = 7310

9B + 10C = 3655 —- identifies this equation. ALPHA BETA: BETA: 9B + 10C = 3655 3B + 5C = 1250

ALPHA is multiplied by 3:

9B + 15C = 3750

9B + 10C = 3655

takes them away:

5C = 95\s C = 95/5 = 19

Plugging into BETA yields the following results: 9B + 10(19) = 3655 9B = 3655 - 190 B = 385

Adds to the initial first equation:

10 A + 8(385) + 20(19) = 6000 A=254\s A=254\sB=385\sC=19

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Answer: slope is -1/3

a parallel line answer is below

Step-by-step explanation:

3x+9y=12 can be automatically rewritten as 9y=-3x+12 but the proper form is y= (−1/3)x +(4/3)

to find a parallel line to another slope, you must keep the slope and change the y intercept.

so for example:

y= -1/3x + 4 would follow this rule

but really you can change the y intercept to anything reasonable

The option A is corret  quotient of X² + 3X + 2 divided by X + 1 is X + 2.

In HCF by long division method we first divide the greater number by the smallest number and then divide the smaller number by the remainder. We continue the process until we get 0 remainder. The divisor is the HCF of the given numbers.

To find the quotient of X² + 3X + 2 divided by X + 1 using the factorization method, we can first factor the dividend as follows:

X² + 3X + 2 = (X + 1)(X + 2)

Now we can rewrite the original expression as:

(X² + 3X + 2) / (X + 1) = (X + 1)(X + 2) / (X + 1)

Canceling out the common factor of (X + 1), we get:

(X² + 3X + 2) / (X + 1) = X + 2

Therefore, the quotient of X² + 3X + 2 divided by X + 1 is X + 2, which we have obtained using both polynomial long division and the factorization method.

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Given:

To draw the graph:

Let us find the slope as the ratio.

Comparing the given equation with y=mx+c

So, the slope m=4.

In ratio,

Let us take two points, (0,0) and (1,4).

So, the graph is,

The side of the square of each block = 2 feet

Given,

Shelly sews a square blanket that has an area of 144 square feet.

and,  it has 36 square blocks, each the same size.

To find the approximate length of each side of a block

Now, According to the question:

36 square blocks of same size. We need to find the area of each square block. so we divide = area / square blocks

= 144/ 36

= 4

The area of each square = 4 square feet

We know that

Area of square = side ^2

Side ^2 = 4

side = \(\sqrt{4}\)

Side = 2

Hence, The side of the square of each block = 2 feet

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