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3 years ago

What is the equation of a line that is perpendicular to the line y= -1/4x - 1 and passes through the point (3,7) ?

Mathematics

1 answer:

kenny6666 [7]3 years ago

7 0

Answer:

hahah idont know

Step-by-step explanation:

8293894=2893849222

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A set of quiz scores is shown in the histogram below. The mean of the data set is 20.2, and the (population) standard deviation

Neko [114]

Answer:

$13$

Step-by-step explanation:

As the mean is 20.2 and the standard deviation is 2.4

The range within the first standard deviation is

(17.8,22.6)

This means that we can safely use the range of (18,22) as we cannot confirm whether the other values fall within the range.

Within this range there are

$2+3+4+3+1=13$

5 0

3 years ago

Kelly drove north for 9 miles and then east for 12 miles at an average rate of 42 miles per hour to arrive at the town of Prime.

mr_godi [17]

Answer:

Step-by-step explanation:

This is one of the more interesting motion problems I've seen. I like it! If Kelly is driving north (straight up) for 9 miles, then turns east (right) and drives for 12 miles, what we have there are 2 sides of a right triangle. The hypotenuse is created by Brenda's trip, which originated from the same starting point as Kelly and went straight to the destination, no turns. We need the distance formula to solve this problem, so that means we need to find the distance that Brenda drove. Using Pythagorean's Theorem:

$9^2+12^2=c^2$ and

$81+144=c^2$ and

$225=c^2$ so

c = 15.

Brenda drove 15 miles. Now we can fill in a table with the info:

d = r x t

Kelly 12+9 42 t

Brenda 15 45 t

Because they both left at the same time, t represents that same time, whatever that time is. That's our unknown.

If d = rt, then for Kelly:

21 = 42t

For Brenda

15 = 45t

Solve Kelly's equation for t to get

t = 1/2 hr or 30 minutes

Solve Brenda's equations for t to get

t = 1/3 hr or 20 minutes

That means that Brenda arrived at the destination 10 minutes sooner than Kelly.

4 0

3 years ago

Barry found a computer at Staples for $989. A week later, the computer went on sale for $849. What

JulijaS [17]

Barry found a computer at Staples for $989. A week later, the computer went on sale for $849. The percentage change is 14.156 % decrease

Solution:

Given that Barry found a computer at Staples for $989

A week later, the computer went on sale for $849

To find: percent of change

Percent change is the extent to which a variable gains or loses value. The figures are arrived at by comparing the initial (or before) and final (or after) quantities according to a specific formula.

THE PERCENT CHANGE IS GIVEN AS:

$\text{ percent change } =\frac{\text { final value - initial value }}{\text { initial value }} \times 100$