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
alexira [117]
3 years ago
6

A rectangular box has the dimensions shown in the diagram. The volume of the box is given by the function V(x) = x^3 – 4x, where

x is the height in inches. What is the height of the box if the volume is 15 in.^3?
Mathematics
1 answer:
madreJ [45]3 years ago
4 0

Answer:

length, width, and height are (b+2), (b-2), (b+3)

Step-by-step explanation:

Doing what the problem statement tells you to do, you get ...

 (b^3 +3b^2) -(4b +12)

 = b^2(b +3) -4(b +3) . . . . . factor each pair of terms

 = (b^2 -4)(b +3) . . . . . . . . . write as a product

 = (b -2)(b +2)(b +3) . . . . . . use the factoring of the difference of squares

The three factors are (b-2), (b+2), and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.

Step-by-step explanation:

You might be interested in
There are 36 students in Mrs. Keaton's sixth grade class.   If 5/12 of her students are girls, how many girls are in the class?
Gnesinka [82]
Multiply\ fraction\ by\ number\ of\ students\\\\\ number\ of\ girls=\frac{5}{12}*36=\frac{5*36}{12}=15\\\\\ There\ are\ 15\ girls\ in\ class.
3 0
4 years ago
The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m
jeka94

9514 1404 393

Answer:

  8000π mm^3/s ≈ 25,133 mm^3/s

Step-by-step explanation:

The rate of change of volume is found by differentiating the volume formula with respect to time.

  V = 4/3πr^3

  V' = 4πr^2·r'

For the given numbers, this is ...

  V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s

_____

<em>Additional comment</em>

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

4 0
3 years ago
Sara bought a pair of jeans for $75. If the jeans were on sale for $25 off, calculate the discount.
sineoko [7]

Answer:

33.3333% decrease

Step-by-step explanation:

Percentage Decrease = [ (Starting Value - Final Value) / |Starting Value| ] × 100

75 - 25 = 50

the price went from $75 to $50.

75 - 50 = 25

25 ÷ 75 = 0.3333333333333

0.3333333333333 x 100

= 33.3333%

3 0
3 years ago
Read 2 more answers
Evaluate the numerical expression. 2/ 3 − (− 1/ 6 )
dusya [7]

Answer:

1/3

Step-by-step explanation:

7 0
3 years ago
Janice usually sells 7 cars and 3 pickup trucks per week, but this week, she only sold 5 cars and 1 pickup truck. What is the pe
dolphi86 [110]

it's an subtract answer is 4

6 0
4 years ago
Other questions:
  • Divide £770 in the ratio of 4:3 plsss
    12·1 answer
  • In a sample of 200 books, 26 books contained at least one punctuation error. The sampling method had a margin of error of 0.03.
    6·1 answer
  • Amanda started the week with $200 in her bank account. Then she deposited $300 she earned from a garage sale. What was the final
    13·2 answers
  • My last question of the day and thanks Nibler for your help and answers
    9·1 answer
  • What is the slope of the line on the graph ?
    8·2 answers
  • A line that includes the point (4, 2)has a slope of
    15·1 answer
  • If C{1,2} and D={4,5,6}, find C×D by tabulation method. i need for exam​
    8·1 answer
  • Helppppp meeeee plz i'll give brainliest!!!
    8·2 answers
  • Write and solve an equation to find the value of x. Then, write and solve an equation to find the value of y.​
    9·2 answers
  • Pls help helps helps
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!