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
iren2701 [21]
3 years ago
14

The length of the base of a rectangular prism is given as x + 4, and the width of the base is x +2. The height of the rectangula

r prism is three more than two times the length. Build a function to model the volume of the rectangular prism.
Mathematics
1 answer:
lutik1710 [3]3 years ago
8 0

Answer:

  V(x) = (x +4)(x +2)(2x +11)

Step-by-step explanation:

For length L = (x+4), the height is ...

  2L +3 = 2(x+4) +3

  = 2x +8 +3

  = 2x +11

The volume is the product of length, width, and height, so is ...

  V = (x +4)(x +2)(2x +11)

You might be interested in
I NEED HELP PLEASE, THANKS! :) Heather invests $4,900 in an account with a 3.5% interest rate, making no other deposits or withd
Alex

Answer:    $5,828.28

<u>Step-by-step explanation:</u>

Use the Compound Interest formula:     A=P(1+\frac{r}{n})^{nt}       where

  • A is the accrued amount (balance)
  • P is the principal (initial amount invested)
  • r is the interest rate (in decimal form)
  • n is the number of times compounded each year
  • t is the time of the investment (in years)

Given: P = 4,900

           r = 3.5% (0.035)

           n = 2

           t = 5

A=4,900\bigg(1+\dfrac{0.035}{2}\bigg)^{2(5)}\\\\\\.\qquad = 4900(1.0175)^{10}\\\\\\.\qquad = \large\boxed{5,828.28}\\

5 0
3 years ago
micchel and jennefer each worked 25 hours last week. micchel eared $10 per hour jennifer earned $12 per hour how much more did j
Mila [183]

Answer:Jennifer earn 50$ more than micchel

Step-by-step explanation:

6 0
3 years ago
If y= -3x7+2x3+ x, the derivative of y with respect to x is
larisa [96]

Answer:

\frac{dy}{dx} = - 21x^{6} + 6x² + 1

Step-by-step explanation:

Differentiate each term using the power rule

\frac{d}{dx} (ax^{n} ) = nax^{n-1}

Given

y = - 3x^{7} + 2x³ + x , then

\frac{dy}{dx} = (7 × - 3 )x^{6} + (3 × 2)x² + (1 × 1 )x^{0}

    = - 21x^{6} + 6x² + 1

8 0
3 years ago
480kg of concrete mix. sand and gravel in the ratio 1:3:4
Anestetic [448]

Answer:

Step-by-step explanation:

1+3+4 = 8

480 / 8 = 60

60 x 1 = 60 (concrete)

60 x 3 = 180 (sand)

60 x 4 = 240 (gravel)

60:180:240

4 0
3 years ago
Question one:
alekssr [168]
The first step would be to subtract 5 from both sides. We have to leave x alone so subtract five from both sides which will leave us with x=22

For the next one we would have to divide 3 by -4 to get w=1.3 Infinite so the 3 would have a small dash on top.
8 0
2 years ago
Other questions:
  • Solve the problem. Make sure your answer is in simplest form. 3/10 x 5/12
    6·1 answer
  • Is 5 a perfect square
    12·2 answers
  • PLEASE ANSWER QUICKLY WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!! Simplify <img src="https://tex.z-dn.net/?f=4%5E%7B2%7D" id="TexFormu
    7·2 answers
  • Erik decides to save money to buy a new computer. He starts with $100. He then adds a
    8·1 answer
  • Can y’all help me? 8(m - k) + 5
    12·2 answers
  • What would the angle be! asap answer
    7·2 answers
  • ASAP 4th GRADE MATHHH<br><br><br> 1.99 + 0.39 - 6.12
    10·1 answer
  • Change 10 m/s in km/h
    10·2 answers
  • Evaluation the following:
    9·1 answer
  • I need help asap, I have school tomorrow and I have 4 math papers due and haven't done any of them
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!