answer.
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
BaLLatris [955]
2 years ago
11

A container has the shape of an open right circular cone, as shown. The height of the container is 10 cm and the diameter of the

opening is 10 cm. water in the container is evaporating so that its depth h is changing at a constant rate of -3/10cm/hr. (v=1/3pir^2h). A) find the volume when h=5cm and B) fine the rate of change of the volume of water when h=5
Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
5 0
A) Volume = (1/12)pi*h^3, with height = 5cm. 

<span>b) You should be able to differentiate V = (1/12)pi*h^3 with respect to h, and you were given dh/dt = -0.3 cm/hr. 
</span>
does that make sense?
You might be interested in
The distribution of the amount of a customer’s purchase at a convenience store is approximately normal, with mean $15.50 and sta
viktelen [127]

Answer:

0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00

Step-by-step explanation:

Mean = \mu = 15.50

Standard deviation = \sigma = 1.72

We are supposed to find the proportion of customer purchase amounts between $14.00 and $16.00

P(14<x<16)

Formula : z=\frac{x-\mu}{\sigma}

At x = 14

z=\frac{14-15.50}{1.72}

z=-0.8720

Refer the  z table for p value

P(x<14)=0.1922

At x = 16

z=\frac{16-15.50}{1.72}

z=0.290

Refer the  z table for p value

P(x<16)=0.6141

P(14<x<16)=P(x<16)-P(x<14)=0.6141-0.1922=0.42

So, Option C is true

Hence 0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00

4 0
2 years ago
The perimeter of a triangle equals 8 inches. Two of its sides are equal and each of them is 1.3 inches bigger than the third sid
mafiozo [28]
Let's call the lengths of our two types of sides <em />x and y.

The two sides will that our 1.3 inches bigger than the third side will be have length x, and the length of the other side will be known as y. Thus, x = y + 1.3.

Considering this, we can add our sides together and set this value equal to 8, given the information in the problem:
(y + 1.3) + (y + 1.3) + y = 3y + 2.6 = 8

Now, let's solve for y.
3y + 2.6 = 8
3y = 5.4
y = 1.8

Now, we are not done yet. We must determine the true lengths of all of our sides. Using the equation we found earlier, the length of the two bigger sides is y + 1.3 = 1.8 + 1.3 = \boxed{3.1} inches and the length of our smaller side is simply \boxed{1.8} inches.

To verify, we can add these sides together and check that they equal 8:
3.1 + 3.1 + 1.8 = 8 ✔
5 0
2 years ago
Including Jose, there are eight people in his family.
SIZIF [17.4K]

Answer:

840

Step-by-step explanation:

Since the order matters, we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

The first seat is Jose's.

The remaining four are organized among the other 7 members. So

P_{(7,4)} = \frac{7!}{(7-4)!} = 840

So the correct answer is:

840

7 0
2 years ago
Read 2 more answers
Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the s
telo118 [61]

Answer:

(1/2, 5)

Step-by-step explanation:

8x + 7y = 39

-2(4x - 14y = -68)

-8x + 28y = 136

8x + 7y = 39

add the two equations together

35y = 175

y = 5

8x + 7(5) = 39

8x = 4

x = 1/2

3 0
1 year ago
A drawer contains black socks and white socks. 80% of the socks are white socks. A number generator simulates randomly selecting
Alina [70]

Answer;

The generator was not fair.

Explanation;

The number generator is not fair. This is because the correct percentage of black socks was not chosen at all.

7 0
2 years ago
Read 2 more answers
Other questions:
  • Kenley wants to show 1200 using only tens blocks. How many tens blocks does Kenley need?
    15·2 answers
  • How much of a 90% alloy must be combined with 70% gold alloy in order to get 60 ounces of an 85% gold alloy?
    15·1 answer
  • The data set below represents the total number of touchdowns a quarterback threw each season for 10 seasons of play.
    13·2 answers
  • The angle measure of thre angle of a triangle are p, q and r. Angle measure of q is one third of p and r is the difference of p
    9·2 answers
  • In your internship with Lewis, Lee, &amp; Taylor Inc. you have been asked to forecast the firm's additional funds needed (AFN) f
    7·1 answer
  • At a large high school 40 percent of the students walk to school, 32 percent of the students have been late to school at least o
    14·1 answer
  • The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.
    5·2 answers
  • You work on a concrete crew starting a construction project. Once the pouring begins, it must continue non-stop until it is comp
    5·1 answer
  • Craig has $1850 dollars in a bank account that he uses to make automatic payments of $400.73 on his car loan. If Craig stops mak
    5·1 answer
  • Carlie runs two different business. She needs to pay $100 for materials, and pay her associates $12 per hour for her childcare b
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!