Do these two in the figure appear to be similar?

PLEASE I NEED HELP WITH THIS I WILL MARK AS BRILLIANT PLS!!

Leviafan [203]

Answer:

Number 7: $m=\frac{6}{4}$

This graph displays the change in wage per years of service. Since the slope is positive, this means the wage has a positive growth.

Number 8: $m=\frac{-400}{3}$

This graph displays the amount of people evacuating per hour. Since the slope is negative, this means the amount of people evacuating per hour is reducing.

Step-by-step explanation:

Number 7:

Step 1: Identify the points on the line to use for slope formula.

The two points are (2, 11) and (6, 17).

$x^1$ and $y^1$ will be $(2,11)$

$x^2$ and $y^2$ will be $(6, 17)$

Step 2: Plug in points into slope formula.

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

$m=\frac{17-11}{6-2}$

Step 3: Subtract.

$m=\frac{6}{4}$

Step 4: Simplify.

improper fraction: $\frac{3}{2}$

mixed number: $1\frac{1}{2}$

decimal: $1.5$

Number 8:

Step 1: Identify the points on the line to use for the slope formula.

The two points are (3, 1200) and (6, 800)

$x^1$ and $y^1$ will be $(3,1200)$

$x^2$ and $y^2$ will be $(6, 800)$

Step 2: Plug in points into slope formula.

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

$m=\frac{800-1200}{6-3}$

Step 3: Subtract.

$m=\frac{-400}{3}$

Step 4: Simplify.

Cannot be simplified further.

mixed number: $m=\frac{-400}{3}$

decimal: $133.333333333$

7 0

2 years ago

Foggy Optics, Inc., makes laboratory microscopes. Setting up each production run costs $2500. Insurance costs, based on the aver

Ray Of Light [21]

Answer: 4

Step-by-step explanation:

Let N be the total number of runs.

The microscopes per year will be equal to the total number of runs * microscopes per run

total number of microscopes = total number of runs * microscopes per run

now we have each run to cost 2500, therefore:

run costs = 2500 * total runs = 2500*N

we also have insurance and storage costs (note the average thats why we divide by 2):

storage costs = 20* microscopes per run /2 = 20*N/2

insurance costs = 15 * microscopes per run = 15*N

the costs are:

costs = run costs + storage + insurance

now the comany sells 1600 microscopes a year, so in order to figure out the number of microscopes per run we divide 1600 by the total number of runs N and replace in the costs

costs = 2500N + 40000/N => C(N) = 2500N + 40000/N

now derivate the function with respect to N and equal to 0:

$\frac{d}{dN}(2500N + 40000/N) = 2500(1-16/N^2) \\\\ 2500(1-16/N^2) = 0\\$

this gives you two solutions, N = -4 which is not eligible (you cant make negative microscopes lol) and N = 4 which is the answer

have a nice day

4 0

3 years ago

The radius on a certain. Goodrich tire is 34 inches to the nearest inch how far will the tire have traveled In 3 revolutions

myrzilka [38]

Answer:

640.968 inches

Step-by-step explanation:

Given data

Radius= 34in

The expression for the circumference is

C= 2πr

substutite

C= 2*3.142*34

C= 213.656

This means that in 1 revolution the tire will travel 213.656 in

Hence in 3 revolutions it will travel

=213.656*3

=640.968 inches

5 0

2 years ago

You have a square table and want to create a

nadya68 [22]

Based on the information given, the length of fabric that's needed will be 288 inches.

From the information given in the question, we are informed that the side length of the table is 72 inches. Therefore, in order to calculate the fabric needed, we have to find the perimeter and this goes thus:

= 72 inches × 4

= 288 inches.

Therefore, the length of fabric that's needed will be 288 inches.

Read related link on:

brainly.com/question/24429956

6 0

2 years ago

The piecewise function h(x) is shown on the graph.

kotykmax [81]

we are given

graph of h(x)

we can locate points on the graph at x=3