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3 years ago

9

Find the percent change from 72 to 90

2 answers:

steposvetlana [31]3 years ago

7 0

25
is the percent change

vovangra [49]3 years ago

4 0

The correct answer is = 25%

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REVIEW: Find the slope for the following situations. a. Given the equation y = 5x + 1 b. Given the equation 2x + y = 6 c. Given

DanielleElmas [232]

Answer:

Part 1) The slope is $m=5$

Part 2) The slope is $m=-2$

Part 3) The slope is $m=2$

Step-by-step explanation:

Part 1) we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have

$y=5x+1$

so

the slope is $m=5$

Part 2) we know that

The equation of the line in standard form is equal to

$Ax+By=C$

where

the slope is equal to $m=-\frac{A}{B}$

in this problem we have

$2x+y=6$

so

$A=2,B=1,C=6$

substitute

$m=-\frac{2}{1}$

$m=-2$

Part 3) we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

$A(2,3)\ B(5,9)$

Substitute the values

$m=\frac{9-3}{5-2}$

$m=\frac{6}{3}$

$m=2$

5 0

3 years ago

9. The function f (x) is shown graphed below. The function g is determined by the formula g(x) = 3f (x)-2 for all values of x in

Lady_Fox [76]

Answer:

(1) -5

Step-by-step explanation:

Put the value where the variable is, read the graph, and do the arithmetic.

g(2) = 3f(2) -2 = 3(-1) -2

<em> g(2) = -5</em>

__

<em>Additional comment</em>

f(2) is the point on the graph where it is 2 units to the right of the y-axis. At that point, the graph is 1 unit below the x-axis, so f(2) = -1.

6 0

2 years ago

Please asap<br>mathematics <br>

Mnenie [13.5K]

<h3>Given:</h3>

w= 6 units
h= 6 units
l= 10 units

<h3>Note that:</h3>

w: width
h: height
l: length

<h3>To find:</h3>

The volume of the given triangular prism.

<h3>Solution:</h3>

Triangular prism is a 3 sided prism with same area of cross section with 2 triangular bases.

$\large\boxed{Formula: V= \frac{wl}{2}×h}$

Let's solve!

First, let's multiply width and height.

$6×6$

$= 36$

Now, we'll have to divide the answer by 2.

$\frac{36}{2}$

$= 18$

Then, multiply the answer by length.

$18×10$

$\large\boxed{V= 180 \: {units}^{3}}$

<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>triangular</u><u> </u><u>prism</u><u> </u><u>is</u><u> </u><u>1</u><u>8</u><u>0</u><u> </u><u>cubic</u><u> </u><u>units</u><u>.</u>

3 0

2 years ago

Read 2 more answers

Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from B, a distance o

g100num [7]

Answer:

The value is $k =109.6 \ miles$

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

The distance from city A to B is AB = 467.3 miles

The bearing from B to C is $\theta_{BC} = N 28.7E$

The bearing from B to A is $\theta_{BA} = N 60.7E$

The bearing from A to B is $\theta_{AB} = S60.7W$

The bearing from A to C is $\theta_{AC} = S79.1W$

Generally from the diagram

$\theta_A = 180 - 60.7 -79.1$

=> $\theta_A = 40.2 ^o$

Also

$\theta_B = 32^o$

and

$\theta_C = 180 - (\theta_A +\theta_B )$

=> $\theta_C = 180 - (40.2 + 32 )$

=> $\theta_C = 107.8 ^o$

Generally according to Sine Rule

$\frac{BC}{sin (\theta_A)} = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}$

=> $\frac{BC}{sin (40.2)} = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}$

So

$\frac{BC}{sin (40.2)} = \frac{467.3 }{sin (107.8)}$

=> $BC = 316.8 \ miles$

Also

$\frac{CA}{sin (32)} = \frac{467.3 }{sin (107.8)}$

$CA = 260 .1 \ miles$

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct flight is mathematically represented as

$k = [CA +BC] - AB$

=> $k = [260 .1 +316.8]- 467.3$

=> $k =109.6 \ miles$

4 0

3 years ago

Create a word problem that can be represented by the expression below. Then, represent each product or quotient as a single rati

Ber [7]

I have eight coupons that are all worth -.25

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3 years ago