The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y^4 + 16y^3 + 48y62 cubic units. Which could be the base area and height of the prism?

Answers

Answer 1
Answer: If that's the volume, then the base and height could be anything that multiply together to get that.  It could be as simple as pulling out common factors like 16y^2.  

16y^2(y^2 + y + 3)  

The base area could be 16y^2 and the height could be y^ + y + 3.

Related Questions

Which equation best represents this situation? The number 63 increased by an unknown number is equal to 105. A. 63 divided by s = 105 B. 63s = 105 C. 63-s = 105 D. 63 + s = 105
Alicia drove at a constant speed and traveled 182.4, point, 4 miles in 3 hours. How many miles would Alicia travel in 11 hours at the same speed?
Alaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep.(1 gallon = 231 in3, 1 inch = 2.54 cm)
What value of x makes the equation square root of x-5=4 true?
The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:f(x) = 0.25x2 − 8x + 600The following table represents the production cost g(x), in dollars, for x number of units produced by company 2:x g(x)6 862.28 856.810 85512 856.814 862.2Based on the given information, the minimum production cost for company :blank:is greater.[Put 1 or 2 in the blank space]

If (x^2 – 4) ÷ (x + 2) = x – 2, which polynomial should fill in the blank below?(x + 2) ´ ______ = x^2 – 4

A. x^2 – 4
B. x – 2
C. x + 2
D. x^2 – 2

Answers

Option (b) (x-2) is the correct answer.

A polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

So, (x+2)*(x-2)

     =x^(2) -2x+2x-4

     =x^(2) -4

Therefore, LHS is equal to RHS.

Hence, (x-2) is the polynomial that should be filled in that place.

Learn more about polynomial, refer to:

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The answer is x-2 because dividing is the opposite of mutiplying. Hope this helps.

Convert each measure to radians and state answer in terms of pi. a.) 40(degrees) b.) -570(degrees)

Answers

360 degrees=2pi radians

therefor set up a ratio and proportiopn

a.
360/2pi=40/x
times 2pix both sides
360x=80pi
divide both sides by 360
x=(2pi)/9 radians


b.
360/2pi=-570/x
times 2pix both sides
360x=-1140pi
divide boh sides by 360
x=-(19pi)/6 radians



a. (9pi)/2 radians
b. (-19pi)/6 radians

Please help FAST!!

Which equation represents the graph of the linear function?

Answers


The line on that graph is sloping down as it proceeds from
left to right, it drops 3 units for every 1 unit to the right, and
it crosses the y-axis at y=1 .

So the equation of that line is      y = -3x + 1 .

Triangle ABC is similar to triangle QRS by the AA Similarity Postulate.Also, m∠A = 45° and m∠S = 75°.

What is m∠B?

_________ °

Answers

Answer:

Measure of ∠B is 60°    

Step-by-step explanation:

Given triangle ABC is similar to triangle QRS.

m∠A = 45° and m∠S = 75°

we have to find the measure of ∠B.

As triangles are similar then corresponding angles are congruent.

⇒ ∠A≅∠Q, ∠B≅∠R, ∠C≅∠S

hence, m∠C=m∠S=75°

By angle sum property

m∠A+m∠B+m∠C=180°

⇒ 45°+m∠B+75°=180°

⇒ m∠B+120°=180°

⇒ m∠B=60°

hence, measure of ∠B is 60°

Angle B is 60 degrees

What is 5 over 8 divided by 4
5/8 divided 4

Answers

Answer:

5/32 in fraction form

0.1563 in decimal form.

Step-by-step explanation:

step 1 Address formula, input parameters & values.

Input parameters & values:

5/8 & 4

5/8 ÷ 4= ?

step 2 Multiply 5/8 with reciprocal of 4

=5/8 x1/ 4 =5/32

Thus, 5/32 is equivalent fraction for 5/8 divided by 4

Answer:

0.15625

Step-by-step explanation:

Sara drives 96 miles on 3.2 gallons of gas. She uses this information to calculate how many miles per gallon she can drive. Using this result, how many miles can Sara drive on 12.5 gallons of gas?

Answers

1st to get the mpg we need to divide 96/3.2 = 30 mpg

now that we know it's 30 mpg we multiply by the gallons of gas

30 * 12.5 = 375 miles

Final answer:

Sara gets 30 miles per gallon of gas. Hence, with 12.5 gallons of gas, she can drive 375 miles.

Explanation:

To calculate how many miles Sara can drive per gallon of gas, we need to divide the total distance driven by the amount of gas used. In this case, it's 96 miles divided by 3.2 gallons. Using simple division, we find that Sara gets 30 miles per gallon of gas.

Now, to find out how far Sara can drive using 12.5 gallons, you just need to multiply the miles per gallon by the number of gallons available. In this case, it's 30 miles per gallon times 12.5 gallons. Hence, Sara can drive 375 miles on 12.5 gallons of gas.

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