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3 years ago

FIND THE VOLUME OF THE SPHERE

Mathematics

1 answer:

svp [43]3 years ago

4 0

Answer:

about 65.4 inches cubed

Step-by-step explanation:

The formula for the volume of a sphere is 4/3πr^3.

V = 4/3πr^3

= 4/3π(2.5^3)

= 20.83π = about 65.4 inches cubed

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Find the area of the shaded region.

skelet666 [1.2K]

Answer:

5x12

Step-by-step explanation:

easy math become i have iq of 12

also charli damelio is a horrible person becasue she let spoepel ethink vujvmvmvmvuvjvm i8vkvucjmcvucmcucvm

5 0

3 years ago

A shop has determined that the number of bottles of water they sell on a summer day is a function of the day’s high temperature,

Alik [6]

Answer:

$T=t+94$

Where T is the hight temperature and t is the day

Explanation:

The table shows that every day the High temperature, T (degrees F) increases 1 unit.

Then, this is a linear function with slope = 1ºF / day.

You can use the point-slope equation to determine the function of the high temperature:

Point-slope equation:

$y-y_1=m(x-x_1)$

Choose any point from the table and m = 1. I will use the first point (1,95)

m = 1

x₁ = 1

y₁ = 95

Substitute:

$y-95=1(x-1)\\\\y=x-1+95\\\\y=x+94$

Make the variables y = T, and x = t:

$T=t+94$

4 0

4 years ago

The common factors of 28 and 40

sveticcg [70]

The factors of 28 are 1, 2, 4, 7, 14, and 28.

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.

The common factors are 1, 2, and 4.

6 0

4 years ago

1/3 - 1/2 x 1/2 ?? Help please

Liula [17]

Answer:

1/2

Step-by-step explanation:

−

(1)

−

1/12

5 0

3 years ago

(with steps please) Find the inverse Laplace transform, f(t), of the function: s/((s^2+9)*(s^2+16))

sveta [45]

Answer:

Step-by-step explanation:

Given is a Laplace transform of f(t) as

$F(s) = \frac{s}{(s^2+9)(s^2+16)}$

Let

$\frac{s}{(s^2+9)(s^2+16)}=\frac{As+B}{(s^2+9)}+\frac{Cs+D}{(s^2+16)}$

Solving we get $\:s=s^3\left(A+C\right)+s^2\left(B+D\right)+s\left(16A+9C\right)+\left(16B+9D\right)$

$A+C=0: B+D=0: 16A+9C=1 and 16B+9D=0$

Solving B=0=D

$A=\frac{1}{7} \\C=\frac{-1}{7}$

Hence we have

f(t) = inverse Laplace of

$\frac{1}{7}[ \frac{s}{(s^2+9)}-\frac{s}{(s^2+16)}]$

= $\frac{1}{7} (cos 3t-cos 4t)$

4 0

4 years ago