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3 years ago

What is the volume of a sphere with a radius of 8.8 in, rounded to the nearest tenth of a cubic inch?

Mathematics

1 answer:

olasank [31]3 years ago

4 0

Answer:

2854.54 in^3

Step-by-step explanation:

since volume of a sphere is: V= 4/3 x π x r^3, and the radius is 8.8 in, you just multiply 4/3 x π x (8.8)^3.

You might be interested in

J. Reexamine the sequence 20, 14, 8, 2, ... from the problem

DENIUS [597]

Answer:

The n th of the given sequence is $t_{n} = 26-6 n$

Step-by-step explanation:

<u>Step 1</u> :-

Given sequence is 20,14,8,2,.......this sequence in arithmetic progression but this sequence is decreasing sequence.

given first term is 20 and difference is $d = second term- first term = 14-20=-6$

now the nth term of given sequence is

by using formula $t_{n}=a+(n-1)d$

$t_{n}= 20+(n-1)(-6)$

$t_{n}= 20-6 n+6$

final answer:-

$t_{n} = 26-6 n$

<u>verification</u>:-

$t_{n} = 26-6 n$

put n=1 we get first term is 20

put n=2 we get second term is 14

put n=3 we get third term is 8

put n=4 we get fourth term is 2

so the n th term of sequence is

$t_{n} = 26-6 n$

3 0

3 years ago

Can anyone help me with any of these problems? You are supposed to find the surface area.

ale4655 [162]

You first need to break each shape down. for example in the top right corner you have a pyramid and a triangular prism. find the area for those two shapes and add them together and you will have the surface area for the entire shape

7 0

3 years ago

Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the end behavior.

jenyasd209 [6]

The function is $f(x)=x^3-11x^2+36x-36$ .

To find the x-intercepts, we need to factorize the function. A very good idea is to first try the factors of 36:

f(1)=1-11+36-36, not 0

f(2)=8-44+72-36=-36+72-36=0. Here we have our first root (2).

Now we cad divide f(x) by (x-2) which will give us a quadratic expression, which we can factorize easily (if the discriminant is non negative).

We can also try some other factors of 36. Indeed we can check that

f(3)=27-99+108-36=135-135=0,
and
f(6)=216-396+216-36=0.

Thus, f(x)=(x-2)(x-3)(x-6). Note that if we expanded the right hand side expression, the constant term would be the product of the constants 2, 3, 6.

This is the reason why in the first place we looked at the factors of 36 for the possible zeros of f(x).

Thus, the x-intercepts are (2, 0), (3, 0), (6, 0), or 2, 3, 6.

The y-intercept is f(0), which is -36.

Note that f(0)<f(2) because f(0)=-36 and f(2)=0. This means that at the left side, the graph is coming from - infinity. Similarly,

we can check that f(10)=1000-1100+360-36=224> f(6). That is, to the right of our rightmost root, the graph is getting larger.

Thus, the end behaviors are: the graph goes to + infinity as x goes to + infinity,

and it goes to minus infinity as x goes to - infinity.

7 0

3 years ago

Pls help me!!!

Olenka [21]

Answer:

Step-by-step explanation:

A box plot is the diagrammatic representation of the five number summary. It includes 5 items:

The minimum.

Q1 = the first quartile or the 25% mark.

The median.

Q3 = the third quartile or the 75% mark.

The maximum.

Rearranging the data in ascending order, it becomes

169, 163, 153, 166, 149, 148, 146, 145, 152, 163

145, 146, 148, 149, 152, 153, 163, 163, 166, 169

Minimum = 145

Maximum = 169

Median = (152 + 153)/2 = 152.5

The median divides the data into two equal halves. The middle of the lower halve is Q1 while the middle of the upper halve is Q3

Q1 = 148

Q3 = 163

The diagram of the box plot is shown in the attached photo

8 0

2 years ago

The trapezoid below has been enlarged by a scale of 1.5. A trapezoid with an area of 36 inches squared. What is the area of the

Viktor [21]

Answer:

B. $81\text{ in}^2$

Step-by-step explanation:

We have been given that the trapezoid shown in the attachment has been enlarged by a scale of 1.5. We are asked to find the area of the enlarged trapezoid.

The area of the original trapezoid is 36 square inches.

Since each side of the trapezoid is enlarged 1.5 times, so the area of new trapezoid would be 2.25 times greater than area of original trapezoid.

The area would be 2.25 times greater because area is product of sum of lengths of parallel sides and height.

$1.5\times 1.5=2.25$

$\text{Area of new trapezoid}=2.25\times 36\text{ in}^2$

$\text{Area of new trapezoid}=81\text{ in}^2$

Therefore, the area of the enlarged trapezoid would be $81\text{ in}^2$ and option B is the correct choice.

7 0

3 years ago

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