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3 years ago

Find the surface area of a sphere with a diameter of 32 mm. Express your answer in terms of pie

Mathematics

1 answer:

fenix001 [56]3 years ago

5 0

Answer:

A = 1024π

Step-by-step explanation:

$A=4\pi r^{2}$ Use this equation to find the surface area of the sphere

$A=4\pi(16)^{2}$ Simplify the exponent

A = 4π(256) Multiply

A = 1024π

If this answer is correct, please make me Brainliest!

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Complete the function table below for the function F(x) = 5x-7.

MA_775_DIABLO [31]

The answer is true it goes up by 5 every time

8 0

2 years ago

Im stuck on this problem. Please explain how you got your answer

klemol [59]

The function $y=0.3^x$ represents exponential growth with the initial value equal to 1, the decay factor equal to 0.3, and the rate equal to 0.7.

<h3>Population Growth Equation</h3>

The formula for the Population Growth Equation is:

$P_f=P_o*(1+\frac{R}{100}) ^t$

Pf= future population

Po=initial population

r=growth rate

t= time (years)

growth or decay factor = (1 ±r)

When 1+R > 1, the equation represents growth, while 1+R < 1 the equation represents decay.

The question gives:

$y=0.3^x$ , then

Pf=y

Po= 1

$(1+\frac{R}{100}) =0.3$ , thus

$(100+R}) =30\\ \\ R=-100+30\\ \\ R=-70$

r= -70%= -0.7

decay factor= (1-0.7)=0.3

Therefore,

1+R will be = 1+(-0.7)=1 - 0.7 =0.3

When 1+R >1, the function represents exponential growth.

Read more about the exponential function here:

brainly.com/question/8935549

4 0

2 years ago

Write an equation of a line passing through point p(4, 0) that is parallel to the line -x+2y=12

dedylja [7]

Answer:

y = $\frac{1}{2}$ x - 2

Step-by-step explanation:

Given parameters:

Coordinates = p(4,0)

Equation of the line -x+2y=12

Solution:

A line parallel to the given line will have the same slope as it is;

-x+2y=12

2y = x + 12

y = $\frac{1}{2}$ x + $\frac{12}{2}$

Since this conforms to y = mx + c where;

x and y are the coordinates

m is the slope

c is the intercept

Our slope is $\frac{1}{2}$

The equation of the line is

y = mx + c

let us find c;

c = y - mx

c = 0 - ( $\frac{1}{2}$ x 4)

c = -2

Now the equation of the line parallel to the line given is;

y = $\frac{1}{2}$ x - 2

7 0

3 years ago

A triangle has two perpendicular sides that are the same length.

yan [13]

Answer:

isosceles, right

Step-by-step explanation:

perpendicular lines means that they make 90° angle with each other and for a triangle to be isosceles it has to have 2 sides of equal length

8 0

1 year ago

Read 2 more answers

The caller times at a customer service center has an exponential distribution with an average of 22 seconds. Find the probabilit

jenyasd209 [6]

Answer:

The probability that a randomly selected call time will be less than 30 seconds is 0.7443.

Step-by-step explanation:

We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.

Let X = caller times at a customer service center

The probability distribution (pdf) of the exponential distribution is given by;

$f(x) = \lambda e^{-\lambda x} ; x > 0$

Here, $\lambda$ = exponential parameter

Now, the mean of the exponential distribution is given by;

Mean = $\frac{1}{\lambda}$

So, $22=\frac{1}{\lambda}$ ⇒ $\lambda=\frac{1}{22}$

SO, X ~ Exp( $\lambda=\frac{1}{22}$ )

To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;

$P(X\leq x) = 1 - e^{-\lambda x}$ ; x > 0

Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)

P(X < 30) = $1 - e^{-\frac{1}{22} \times 30}$

= 1 - 0.2557

= 0.7443

7 0

3 years ago