Use the table and the graph to answer the questions.

Determine the volume of the right circular cone generated by rotating the line y = 1/3x about the y-axis between y = 0 and y = 3

irinina [24]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

Below is the solution:

Rotating around the y-axis; solve for x. y = x/3
x = 3y

Find x^2
x^2 = 9y^2

Integrating it using the limits of 0 and 3, remember to add the pi and integrate 9y^2.

The answer is 81pi cubic units which is A.

4 0

3 years ago

Which function describes this graph?

REY [17]

The graph in the question is of the function f(x)= $log _{0.2}x$ which is option a.

Given a graph which is downward sloping and we are required to find the function whose the graph is.

Function is like a relationship between two or more variables expressed in equal to form. It may be a linear function,exponential function, logarithmic function or quadratic function.

In the given graph the values of y becomes negative when the curve crosses then x axis. For all x>1 the value of log x is greater than 0. So the value of $log_{2}x,log_{4}x,log_{20}x$ should be greater than 0 for x greater than 1. But in graph it is negative. That's why the graph will be of y= $log_{0.2}x$ .

Hence the given graph is of the function f(x)= $log _{0.2}x$ which is option a.

Learn more about function at brainly.com/question/10439235

#SPJ1

3 0

1 year ago

5 1/2 +1 3/10x=13 what does x equal

Advocard [28]

Answer:

$x=5\frac{10}{13}$

Explanation:

Given the equation

$5\frac{1}{2}+1\frac{3}{10}x=13$

Step 1: Change all the mixed fraction to improper fractions

$\implies\frac{11}{2}+\frac{13x}{10}=13$

Step 2: Find the lowest common multiple of the denominators (2 and 10)

The lowest common multiple = 10

Step 3: Multiply all through by 10.

$\begin{gathered} \implies\frac{11}{2}\times10+\frac{13x\times10}{10}=13\times10 \\ =55+13x=130 \end{gathered}$

Step 4: Apply the subtraction law of equality. (Subtract 55)

$\begin{gathered} 55-55+13x=130-55 \\ 13x=75 \end{gathered}$

Step 5: Apply the division law of equality. (Divide by 13)

$\begin{gathered} \frac{13x}{13}=\frac{75}{13} \\ x=5\frac{10}{13} \end{gathered}$

8 0

1 year ago

a company has decreased the weight of its boxes of macaroni by 8 %. if the new weight of the box is 15.1 ounces, what was the o

quester [9]

8%=0.08 and 100%=1 (100% represents the original weight in percentaje)
If x is the weight you can express: 1x-0.08x=15.1
solve for x: 0.92x=15.1
x= 15.1/0.92=16.1
The original weight was 16.41 ounces

8 0

3 years ago

Read 2 more answers

please help me i’m so scared idk how to do math i’m going to fail this test i cannot afford to fail please brainly friends pleas

Nataly [62]

Answer:

The answer is A

Step-by-step explanation

7 0

3 years ago