1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
schepotkina [342]
3 years ago
6

Which group of expressions could represent the dimensions of a rectangular prism with a volume of 2y3 + 15y2 + 28y?

Mathematics
1 answer:
Vitek1552 [10]3 years ago
3 0

Answer:

C. y, y + 2, 2y + 14

Step-by-step explanation:

Given

Volume = 2y^3 + 15y^2 + 28y

Required

Determine which set of dimensions is applicable

The volume of a rectangular prism is calculated as:

Volume = Length * Width * Height

So, to solve this question, we have to test each options using the above formula

A. y, y + 4 and 2y + 7

Volume = y * (y + 4) * (2y + 7)

Open brackets

Volume = y * (y * 2y+ 4* 2y + y * y+ 4* 7)

Volume = y(2y^2+ 8y + y^2+ 28)

Volume = 2y^3+ 8y^2 + y^3+ 28y

Collect Like Terms

Volume = 2y^3 + y^3+ 8y^2+ 28y

Volume = 3y^3+ 8y^2+ 28y

B. y, y + 7, 2y + 4

Volume = y * (y + 7) * (2y + 4)

Open brackets

Volume = y * (y * (2y + 4)+ 7* (2y + 4))

Volume = y * (2y^2 + 4y+ 14y + 28)

Volume = y * (2y^2 + 18y+ 28)

Volume = 2y^3 + 18y^2+ 28y

C. y, y + 2, 2y + 14

Volume = y * (y + 2) * (2y + 14)

Open brackets

Volume = y * (y* (2y + 14) + 2* (2y + 14))

Volume = y * (2y^2 + 14y + 4y + 28)

Volume = y * (2y^2 + 18y + 28)

Volume = 2y^3 + 18y^2 + 28y

<em>There's no need to check the last option because option c answers the question.</em>

<em>Hence, the dimension is y, y + 2, 2y + 14 </em>

You might be interested in
How can I rewrite this in exponential form and then evaluate it?
Vedmedyk [2.9K]

QUESTION:- EVALUATE THE EXPRESSION

EXPRESSION:-

{( \sqrt[6]{27 {a}^{3}  {b}^{4} } )}^{2}

<h3>ANSWER-></h3>

{( \sqrt[6]{27 {a}^{3}  {b}^{4} } )}^{2}  \\ {( {27 {a}^{3}  {b}^{4} } )}^{ \frac{2}{6} }  \\ {({27 {a}^{3}  {b}^{4} } )}^{ \frac{ \cancel{2}}{ \cancel6 {}^{ \:  3} } } \\ {(27)}^{ \frac{1}{3} }  {a}^{ \frac{3}{3} }  {b}^{ \frac{4}{3} } \\{(3)}^{ \frac{ \cancel3}{ \cancel3} }  {a}^{ \frac{ \cancel3}{ \cancel3} }  {b}^{\frac{3 + 1}{3} } \\3a {b}^{ \frac{ \cancel3}{ \cancel3} }  {b}^{ \frac{1}{3} } \\ ANSWER->3ab \sqrt[3]{b}  \:  \:  \:  \:  \: or \: \: 3a {b}^{ \frac{4}{3} }

6 0
2 years ago
Which relationship is always true for the angles r, x, y, and z of triangle ABC?
mariarad [96]

That's the second one,


180 - x = r


Whenever two lines cross we get congruent opposite angles and supplemental adjacent angles, i.e. they add to 180 degrees.


The first one is almost right; we have r+y+z=180 and r+x=180 so x=y+z not quite what was written.


3 0
3 years ago
There are 70 marbles in the bag. The bag has 39 green? marbles, 24 red? marbles, and 7 yellow marbles. Sasha selects a marble fr
netineya [11]

Answer:

14/20

Explanation:

Sasha tried to get a marble 20 times. 14 of those times she got a yellow marble.

The experimental probability, which is the probability of choosing a yellow marble when Sasha actually tries choosing marbles from the bag.

The theoretical probability is based on the chance that Sasha will get a yellow marble, 7/70, is from the amount of marbles in the bag of yellow colour.

8 0
3 years ago
Can anyone help me with this question?
MatroZZZ [7]

9514 1404 393

Answer:

  E.  37

Step-by-step explanation:

Adjacent angles of a parallelogram are supplementary:

  (4x -2)° +34° = 180°

  4x = 148 . . . . . . . . . . . divide by °, subtract 32

  x = 37 . . . . . . . . . . . . . divide by 4

8 0
3 years ago
PLEASE HELP ASAPPP!!! 15PT QUESTION!!! Suppose that a ball is rolling down a ramp. The distance traveled by the ball is given by
Sever21 [200]

Answer:

The average velocity of the ball is 137.5 \:ft/sec

Step-by-step explanation:

First find the velocities at given times and then form two points. Calculate the slope to find the average velocity. The two points are:

\left(6,\:396\right)\quad and \quad \:\left(6.5,\:464.75\right)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}=\frac{464.75-396}{6.5-6}

m=137.5

Best Regards!

5 0
3 years ago
Other questions:
  • There are 12 participants running in a 110m hurdles race. How many ways are there to award a gold, silver, and bronze medal?
    6·1 answer
  • What is the meaning of angle X enter your answer in the Box​
    8·2 answers
  • Trejon rides his bike 2 1/4 Miles each day. Which equation can be used to find r, the number of miles he will ride in 8 days?
    8·1 answer
  • What is 5 (p-10) expanded​
    12·2 answers
  • A salesperson receives a base salary of $35,000 and a commission of 10% of the total sales for the year. If a salesperson sells
    9·1 answer
  • A set of solar batteries is used in a research satellite. The satellite can run on only one battery, but it runs best if more th
    12·1 answer
  • The graph of the function f(x) = (x + 2)(x − 4) is shown. On a coordinate plane, a parabola opens up. It goes through (negative
    8·2 answers
  • A pair of dice is rolled 50 times. What is the probability that a sum of 6 is rolled exactly 6 times? Round your answer to the n
    7·1 answer
  • Which steps show how to use the distributive property to evaluate. 7•32
    6·1 answer
  • A list of numbers is given below. If x is a number in this list, which inequality could represent x? {-5, -12, -2, -9}
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!