Which region has the greater need for new wells?

Can you help with did pretty please I'm stuck help just a, c ,d thanks luv.

Misha Larkins [42]

Answer:

a) The slope of the function is 3.

c) The equation is represented by $n(t) = 3\cdot t + 35$ .

d) The y-intercept of the function is 35.

Step-by-step explanation:

a) According to the statement, we must assume that number of pieces of mail that must be hand-sorted (dependent variable) is represented by a linear function in terms of time (independent variable). That is:

$n(t) = m\cdot t + n_{o}$ (1)

Where:

$m$ - Slope, measured in number of pieces per minute.

$t$ - Time, measured in minutes.

$n_{o}$ - Initial number of pieces of mail that must be hand-sorted (y-intercept), measured in pieces.

$n$ - Current number of pieces of mail that must be hand-sorted, measured in pieces.

From Geometry, we know that a line can be formed by know two distinct points. If we know that $n(15\,min) = 80\,p$ and $n(45\,min) = 170\,p$ , then the following system of linear equations is formed:

$15\cdot m + n_{o} = 80$ (2)

$45\cdot m + n_{o} = 170$ (3)

The solution of the system of equations is:

$m = 3$ and $n_{o} = 35$

The slope of the function is 3.

c) By (1) and using results from a) we conclude that the equation function is:

$n(t) = 3\cdot t + 35$ (4)

d) The y-intercept of the function is 35.

5 0

2 years ago

My grandmothers sugar cookie recipe calls for 2 2/3 cups of sugar to make 16 cookies. How much sugar is needed to make 90 cookie

vivado [14]

Step-by-step explanation:

8/3 cups of sugar is needed to make 16 cookies.

For 90 cookies, we will need 8/3 * 90/16 = 15 cups of sugar.

5 0

2 years ago

Divide 4,318 by 7 then estimate it

11111nata11111 [884]

Answer:

4,318÷7= 617

I have already rounded the decimal to make it into a whole.

5 0

2 years ago

Can some explain how to do this.

KatRina [158]

We can simplify the expression by using exponent properties, and we will see that the correct option is the fourth option.

<h3>How to simplify the expression?</h3>

Remember the exponent property:

$\frac{a^n}{a^m} = a^{n - m}$

Here we have the expression:

$\frac{83.9*10^{12}*2.87*10^{-3}}{3.76*10^2}$

We can reorder this to get:

$\frac{83.9*10^{12}*2.87*10^{-3}}{3.76*10^2} = \frac{83.9*2.87}{3.76}*\frac{10^{12}*10^{-3}}{10^2}$

The right side can be simplified to:

$\frac{83.9*2.87}{3.76}*\frac{10^{12}*10^{-3}}{10^2} = 64.04*10{12 - 3 - 2} = 64.04*10^{7}$

Now, we can move the decimal point one time to the left and increase the exponent by one, so we get:

$6.404*10^8$

Then we conclude that the correct option is the last one (where I rounded the expression to only 3 values after the decimal point).

If you want to learn more about scientific notation:

brainly.com/question/5756316

#SPJ1

3 0

1 year ago

Use the information in the table. You are making a circle graph showing the total number of successful United States space launc

timama [110]

Answer:

52.9°

Step-by-step explanation:

step 1

we know that

The total number of successful United States space launches that happened in the years 1957-1995 is equal to

$15+470+258+153+146=1,042$

step 2

The numbers of successful United States space launches that happened in the years 1980-1989 is equal to

$153$

step 3

The percentage of successful United States space launches that happened in the years 1980-1989 is equal to

$\frac{153}{1,042}(100)=14.68\%$

step 4

Find out the measure of the central angle you would draw in a circle graph to represent the number of successful United States space launches that happened in the years 1980-1989

we know that

In a circle, 360 degrees represent the 100%

so

using proportion

Find out the measure of the central angle by a percentage of 14.68%

$\frac{360^o}{100\%}=\frac{x}{14.68\%}\\\\x=360^o(14.68\%)/100\%\\\\x= 52.9^o$

3 0

3 years ago