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4 years ago

What is the volume of a ball if its diameter is 6 inches? Leave your answer in terms of π.

1 answer:

8 0

Volume = 4/3*pi*r^3
As diameter = 6 inches
Radius = Diameter / 2
Radius = 6/ 2
Radius = 3 inches
Putting the value of r in the formula :
=4/3*pi*3^3
 =4/3*pi*27
= 36*pi
So according to above explanation,
B) V = 36 π cubic inches , is the correct answer.

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Suppose 6 of 15 students in a grade-school class develop influenza where 20 percent of grade-school students nationwide develope

Snowcat [4.5K]

I am not sure what the question is here. I can tell you how to find the percent of kids that developed influenza in that class. We can compare it to the 20% of students nationwide. There could many different questions that stem from the piece of information you gave.

To find the percent of kids that developed influenza in that class do 6÷15 which gives you
.4 and written as a percent would be 40%.

Please message me if you have any questions! Hope this helps!

6 0

3 years ago

If a musician uses his credit card to pay for a new violin that costs $2,900 and does not pay on it until the second month, what

xenn [34]

Solution:

1. Cost of a new Violin that is bought by the musician = $ 2900

Monthly interest charge = 3.35 %

If you will find the compound interest or simple interest for a month, they both will be same for a month.

Simple interest =

$\frac{Principal \times Rate \times Time}{100}$

$=\frac{2900 \times 3.35 \times 1}{ 100}\\\\ =29 \times 3.35\\\\ =97.15$

Interest paid at the end of first month = $ 97.15

2. Loan Amount = $ 3,500

Annual interest = 8 %

Time period = 2 years= 24 months

As , we have to find the total payback for two years, at 8% annual interest with monthly payments .we will use the formula of Amount in terms of compound interest here.

Formula for Amount

Amount= $Principal (1 +\frac{Rate}{100})^{time}]$

$=3500 \times [(1+\frac{8}{1200})^{24}]\\\\ = 3500 \times [(1.0066)^{24}]\\\\= 3500 \times 1.1710 \\\\ =4098.58$

Total payback after 2 years = $ 4098.58

3 0

4 years ago

An equation is shown below: 1 over 2 multiplied by x plus 3 over 2 equals 2 to the power of x What is the solution to the equati

Alborosie

Answer:

First option is correct. The solution of the equation is x=1.

Step-by-step explanation:

The given equation is

$\frac{1}{2}x+\frac{3}{2}=2^x$

The value of x, which satisfy the above equation is the solution of the given equation.

Put x=1 in the given equation.

$\frac{1}{2}(1)+\frac{3}{2}=2^{1}$

$\frac{1+3}{2}=2$

$\frac{4}{2}=2$

$2=2$

Since left hand side is equal to right side, therefore first option is correct.

Put x=2 in the given equation.

$\frac{1}{2}(2)+\frac{3}{2}=2^{2}$

$\frac{2+3}{2}=4$

$\frac{5}{2}=4$

Since left hand side is not equal to right side, therefore second option is correct.

Put x=4 in the given equation.

$\frac{1}{2}(4)+\frac{3}{2}=2^{4}$

$\frac{4+3}{2}=16$

$\frac{7}{2}=16$

Since left hand side is not equal to right side, therefore third option is correct.

Put x=8 in the given equation.

$\frac{1}{2}(8)+\frac{3}{2}=2^{8}$

$\frac{8+3}{2}=256$

$\frac{11}{2}=256$

Since left hand side is not equal to right side, therefore fourth option is correct.

3 0

4 years ago

Read 2 more answers

Figure ABCD has vertices A(−4, 1), B(2, 1), C(2, −5), and D(−4, −3). What is the area of Figure ABCD?

Juliette [100K]

Check the picture below.

so, notice, the composite is just a 4x6 rectangle, and a triangle whose base is 6 and altitude is 2. So, we can simply get the area of each figure and sum them up.

$\bf \stackrel{\textit{area of rectangle}}{(4\cdot 6)}~~~~+~~~~\stackrel{\textit{area of triangle}}{\cfrac{1}{2}(6)(2)}$

5 0

3 years ago

Let y1, y2,... , yn denote a random sample of size n from a population with a uniform distribution on the interval (0,theta). le

laila [671]

Step-by-step explanation:

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6 0

3 years ago