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
lina2011 [118]
3 years ago
8

How do I do question 9 & 11? Please help thank you!

Mathematics
1 answer:
Novay_Z [31]3 years ago
5 0
<h2>9.</h2><h3>Given</h3>
  • sphere with radius 15 cm
<h3>Find</h3>
  • linear approximation to the volume when the radius increases 0.4 cm
<h3>Solution</h3>

The equation for volume of a sphere is

... V = (4/3)π·r³

Differentiating gives

... dV = 4π·r²·dr

Filling in the given numbers gives

... change in volume ≈ 4π·(15 cm)²·(0.4 cm)

... = 360π cm³ ≈ 1130.97 cm³ . . . . . . volume of layer 4mm thick

<h2>11.</h2><h3>Given</h3>
  • an x by x by 2x cuboid with surface area 129.6 cm²
  • rate of change of x is 0.01 cm/s
<h3>Find</h3>
  • rate of change of volume
<h3>Solution</h3>

The area is that of two cubes of dimension x joined together. The area of each such cube is 6x², but the two joined faces don't count in the external surface area. Thus the area of the cuboid is 10x².

The volume of the cuboid is that of two cubes joined, so is 2x³. Then the rate of change of volume is

... dV/dt = (d/dt)(2x³) = 6x²·dx/dt

We know x² = A/10, where A is the area of the cuboid, so the rate of change of volume is ...

... dV/dt = (6/10)A·dx/dt = 0.6·(129.6 cm²)(0.01 cm/s)

... dV/dt = 0.7776 cm³/s

You might be interested in
What is the product of (−4)⋅(−4)⋅(−4)⋅y⋅y using exponents
Amiraneli [1.4K]

Answer:

(-4)^{3*y^{2}

This should be right.

3 0
3 years ago
During a sale at a bookstore, Joseph buys a book at full price. He is given a 50 percent discount on a second book of equal or l
NARA [144]
Total cost of books was 15 + 10 or 25.  With the 50 % discount on the $10 book, the total is now $20. The total cost was reduced by (B) 20%.
 $5 off the $25 price is a 20% discount.
5 0
3 years ago
Write these expressions in exponential form:
Crazy boy [7]

1. 10^5

2. z^5*x^3*y^2

3. 1

3 0
3 years ago
Need help with 17 pre college
Ratling [72]
No because if you plug in 4 for x and 5 for y you get -4 not 36
6 0
2 years ago
Can someone help me how to solve this please<br> 200/50*17/2*5/17*50
Reptile [31]

Answer:

500

Step-By-Step Explanation:

200/50 = 4

4 * 17 = 68

68 / 2 = 34

34 x 5 = 170

170 / 17 = 10

10 x 50 = 500

8 0
2 years ago
Other questions:
  • A couch is selling for $450. After not selling for 4 months, it is marked down to $427. What is the percent markdown?
    10·1 answer
  • What is 270° converted to radians? StartFraction pi Over 6 EndFraction Three-halves StartFraction 3 pi Over 2 EndFraction 3
    12·2 answers
  • Determine the slope of the line that passes through the given points. (8, 1) and (8, -4)
    12·1 answer
  • in a box of 360 building blocks, 3 out of every 8 are green. which of the following is the number of green building blocks in th
    12·2 answers
  • Chords and arcs.<br><br>find x​
    15·1 answer
  • Solve 12-5x-4kx=y for x
    15·1 answer
  • 100 POINTS IF YOU ANSWER THIS QUESTION
    13·2 answers
  • Which statement best describes the parties in this lease? Candace Pickles is the renter, Capital Rabbit Properties is the agent,
    6·1 answer
  • Simplify fully the question above
    13·1 answer
  • Pls answer these two questions
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!