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3 years ago

Which choice describes the translation represented by the translation rule (x,y) -->(x+4, y-1)?

Mathematics

1 answer:

Brrunno [24]3 years ago

7 0

$x+4\to4\ units\ to\ the\ left\\\\y-1\to1\ unit\ down$

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If cos theta = 0.5, find sec theta. A. 0.25 B. 0.5 C. 1 D. 2

Vsevolod [243]

Sec theta = 1/cos theta = 1/0.5 = 2

Option D is the correct answer.

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3 years ago

What number is a factor of 20 but not a multiple of 5

trasher [3.6K]

A factor of 20 but not a multiple of 5 would probably be 4

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2 years ago

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I need help with my algebra 2. I also want to know how to solve this.

Lisa [10]

Add 1 to both sides:

$\sqrt{x+3} = x+1$

In cases like this, we have to remember that a root is always positive, so we can square both sides only assuming that

$x+1 \geq 0 \iff x \geq -1$

Under this assumption, we square both sides and we have

$x+3 = (x+1)^2 \iff x+3 = x^2+2x+1 \iff x^2+x-2 = 0$

The solutions to this equation are

$x = -2,\ x=1$

But since we can only accept solutions greater than -1, we discard $x=-2$ and accept $x=1$ .

In fact, we have

$x=-2 \implies \sqrt{-2+3}-1=0\neq -2$

and

$x=1 \implies \sqrt{4}-1=1$

which is the only solution.

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3 years ago

The hourly wages earned by 20 employees are shown in the first box and whisker plot below. The person earning $15 per hour quits

serg [7]

I added the plots in the attachments.

Answer:

The mean will decrease

The median will remain the same

Explanation:

1- checking the mean:

Mean of the salaries is calculated as follows:

$Mean = \frac{sum-of-salaries}{number-of-employees}$

Now, we can note that two parameters affect the mean, let's consider each:

a. Number of employees:

We are given that one employee is replaced with another. This means that the number of employees did not change

b. Sum of salaries:

We are given that a person earning $15 left and the new person earns $7. This means that:

New sum of salaries = old sum of salaries - 15 + 7 = old sum of salaries - 8

This means that the sum of salaries decreased by 8

Now, for the mean:

We can conclude that since the numerator decreased while the denominator stayed the same, the mean will decrease

2- checking the median:

In the whisker plots, the median is represented by the vertical line inside the plot.

In the first plot, we can note that the vertical line is nearly half the distance between 9 and 10. This means that, for the first plot, the median is approximately 9.5

In the second plot, the place of the median is unchanged. It is still approximately midway between 9 and 10 which means that the median in the second plot is approximately 9.5

Therefore, the median of the data remains unchanged.

Hope this helps :)

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3 years ago

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The number 7 is what percent of 80

xz_007 [3.2K]

Answer:

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Step-by-step explanation:because if you divide correctly it will equal 5.6

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2 years ago