the volume of a rectangular prism with base dimensions of 3 cm and 8 cm and a prism height of 12 cm is?

Which graph represents the function f(x)=(x-5)^2+3

hammer [34]

Answer:

Parabola

Step-by-step explanation:

We are given that a function

$f(x)=(x-5)^2+3$

The given function is an equation of parabola along y- axis.

General equation of parabola along y- axis with vertex (h,k) is given by

$(y-k)=(x-h)^2$

$y=(x-h)^2+k$

Compare it with given equation then we get

h=5, k=3

Vertex of given parabola =(5,3)

Substitute x=0 then we get

$f(0)=(0-5)^2+3=28$

y-intercept of parabola is at (0,28).

6 0

3 years ago

Read 2 more answers

Help me plz rlly need it

maria [59]

DE perpindicular to JL

6 0

3 years ago

The expression

swat32

Answer:

The expression

1

÷

1/4

is given. Give a real-life application to explain this expression and then simplify it.

Given a life expression to solve this, when one divide 100 pieces of pencil by 25 which is 1/4 of the entire pencil.

1/1/4=1 x 4/1

=4

Step-by-step explanation:

divide 1 by 1 over 4, then using cross multiply

then we have 1 multiply 4 divided by 1

4 is the final answer

6 0

3 years ago

Sally dug a hole 5 feet deep to plant roses. She

ikadub [295]

Step-by-step explanation:

here will take the earth's surface as 0.

hence,

the first hole that Sally dug is 5 feet below the surface making its integer -5

the second hole Sally dug was 8 feet below the surface making its integer -8

therefore, the roses are closest to the surface.

8 0

2 years ago

A marketing researcher wants to find a 96% confidence interval for the mean amount those visitors spend per person per day while

ki77a [65]

Answer:

$n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38$

So then the minimum sample to ensure the condition given is n= 38

Step-by-step explanation:

Notation

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=12$ represent the population standard deviation

n represent the sample size

ME = 4 the margin of error desired

Solution to the problem

When we create a confidence interval for the mean the margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 96% of confidence interval now can be founded using the normal distribution. The significance is $\alpha=1-0.96 =0.04$ . And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got $z_{\alpha/2}=2.054$ , replacing into formula (b) we got:

$n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38$

So then the minimum sample to ensure the condition given is n= 38

5 0

3 years ago