The graph of linear function k passes through the points (−3, 0) and (1, 8).

A COLOR PRINTER WILL PRINT 8 PAGES PER MINUTE. HOW MANY MINUTES WILL IT TAKES TO PRINT A REPORT THAT HAS 136 PAGES

lara [203]

8 pages per 1 minute
so 136 pages will be 136/8 = 17 minutes

Will take 17 minutes to print out 136 pages

4 0

4 years ago

One factor in flood safety along a levee is the area that will absorb water should the levee break. The coordinates that make up

Anit [1.1K]

Let

$A(0,0)\\ B (2.8, 2.1)\\C(4.3, 4.4)$

using a graph tool

see the attached figure

The figure is a triangle

we know that

The Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

Hero's Formula is equal to

$Area=\sqrt{p*(p-a)*(p-b)*(p-c)}$

where

p is is half the perimeter of the triangle

a,b,c are the lengths of the sides of a triangle

so

Step $1$

Find the length sides of the triangle

a) Find the distance AB

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(2.1-0)^{2} +(2.8-0)^{2}}$

$d =3.5\ mi}$

b) Find the distance AC

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(4.4-0)^{2} +(4.3-0)^{2}}$

$d =6.15\ mi}$

c) Find the distance BC

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(4.4-2.1)^{2} +(4.3-2.8)^{2}}$

$d =2.75\ mi}$

Step $2$

Find the perimeter of the triangle

$Perimeter= 3.5+6.15+2.75 =12.4\ mi$

Find the half of the perimeter

$p=\frac{12.4}{2} = 6.2\ mi$

Step $3$

Find the area of the triangle

$Area=\sqrt{6.2*(6.2-3.5)*(6.2-6.15)*(6.2-2.75)}$

$Area=\sqrt{6.2*(2.7)*(0.05)*(3.45)}$

$Area= 1.69\ mi^{2}$

therefore

the answer is the option

a) 1.65 mi^2.

4 0

3 years ago

Read 2 more answers

Suppose the population of a certain city is 5893 thousand. It is expected to decrease to 5218 thousand in 50 years. Find the per

leonid [27]

Answer:

% Decrease = 11.45%

Step-by-step explanation:

Original Population = 5893

Expected Population = 5218

% Decrease = Original Population - Expected Population / Original population

% Decrease = (5893 - 5218 ) / 5893

% Decrease = 675/5893

% Decrease = 0.11454268

% Decrease = 11.454268%

% Decrease = 11.45% approximately.

6 0

3 years ago

This question is a Fractions as divisions and it's kinda bit harder to figure it out.

Elodia [21]

10 liters of gas fill one tank.
x liters of gas fill x/10 tanks.
35 liters of gas fills 35/10=7/2 tanks
7/2 can also be written as 3.5 or the mixed number (3 and 1/2)

6 0

3 years ago

Read 2 more answers

A business owner collected data on the people working for her company. She determined the average number of minutes each employe

Naddika [18.5K]

Answer:

The comparison using median and IQR is best because one of the graphs is not symmetrical.

Step-by-step explanation:

The following information is missing

A box plot titled Number of Minutes Women Spend on Breaks. The number line goes from 30 to 70. The whiskers range from 30 to 54, and the box ranges from 34 to 50. A line divides the box at 48.

A box plot titled Number of Minutes Men Spend on Breaks. The number line goes from 30 to 70. The whiskers range from 30 to 68, and the box ranges from 36 to 60. A line divides the box at 48.

The business owner uses the median and IQR to determine the center and variability of the data sets. Which best describes the comparison?

The comparison would be more accurate using the mean and MAD because one of the graphs is symmetric.

The comparison would be more accurate using the mean and MAD because the median of both data sets is the same.

The comparison using median and IQR is best because one of the graphs is not symmetrical.

The comparison using median and IQR is best because the median is greater than the IQR for both data sets.

Mean and MAD are useful for comparison when both data sets are symmetrical.

In the women box plot the Q1 is at 34, the median is at 48, and the Q3 is at 50, so it is not symmetrical (the difference between the median and the Q1, and the Q3 and the median is not the same)

8 0

4 years ago