MATHEMATICS HIGH SCHOOL

The population of Germany is about how many times the population of Martinique?Explain your reasoning.Germany: 8.27*10^7
Martinique: 4.05*10^5

Answers

Answer 1
Answer: We have to take the population of Germany divided by the population of Martinique:
(8.27*10^7)/ (4.05*10^5)= 204.198.

Conclusion: The population of Germany is about 204 times as large as the population of Martinique.

Hope this helps~

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Write an inequality to model the situation. Thomas earned $44 or more.A. t ≥ 44 B. t ≤ 44 C. t > 44 D. t < 44
The diameter of circle C is 18 cm. Chord AD is the same length as a radius. Use this information, the diagram, and your experiences in geometry this semester to answer these questions. a) what are the measures of the angles BDA and DBA?. b) What is the sine of angle DBA? c) Find the length of arc AB to the nearest hundredth. d) How does the length of arc AD compare to the length of arc AB? e) If FE = 1/2 BD, then what is the degree measure of arc EF?
The rabbit population in a certain area is 500​% of last​ year's population. There are 300 rabbits this year. How many were there last​ year?There were ____ rabbits last year.
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Sally has a GPA of 3.35. What percentage of the students have a GPA above her GPA? Show all work. (Note: GPA is normally distributed).

Mae king earns a weekly salary of $305 plus a 7.5% commission on sales at a gift shop.How much would she make in a work week if she sold 4,300 worth of merchandise

Answers

Answer:

Step-by-step explanation:

Mae king earns a weekly salary of $305 plus a 7.5% commission on sales at a gift shop. This means that the total amount that she can earn in a week is not fixed. If in a week, she sold 4,300 worth of merchandise, her commission on this amount of sales will be 7.5 % of 4,300

Commission on sales = 7.5/100× 4300 = 0.075×4300= $332.25

Amount of money made for the week will be the sum of her weekly salary and the commission earned on sales. It becomes

305 + 332.25 = $627.5

Mike works h hours in a week. To find his weekly pay he multiplies his hours by his pay of $30 per hour and adds $5 for his sales bonus. He's decided that he wanted to take one-fifth of his weekly pay and place it in his savings. Which simplified expression represents the amount that will go into his savings each week?

Answers

Answer:

6h + 1

Step-by-step explanation:

number of hours: h

pay per hour: 30

pay for the hours: 30h

add sales bonus: 30h + 5

1/5 of total above: (1/5)(30h + 5) = 6h + 1

Answer: 6h + 1

Select the equation of the line that passes through the point (2, 6) and is perpendicular to the line x = 4.

Answers

Perpendicular lines have opposite reciprocal slopes. 

x = 4 has a slope of undefined since it is a vertical line.

It's undefined because 1/0 = undefined. We can't divide by 0.

The opposite reciprical of 1/0 is -0/1, which equals to 0.

Any line with a slope of 0 is:

y = 0x + b
y = b

This line goes through the point of (2, 6).

Since the equation starts with y = something, we have to use the y-value of the point it goes through. The point is in the form of (x, y).

6 is in the y-value.

The equation of the perpendicular line is y = 6.

What is percent of increase from 15 to 60?​

Answers

Answer: 300 percent

Step-by-step explanation:

Where: 15 is the old value and 60 is the new value. In this case we have a positive change (increase) of 300 percent because the new value is greater than the old value.

Answer:

400%

Step-by-step explanation:

60/15 = 4

4 * 100 = 400 %

What is equal to the expression square root of 40/2

Answers

First you would simplify what's in the square root, to get root 20. If you want the exact number, and not the approximation, you would take out whatever squares are in that number (20=2*2*5) so your answer is 2root5.


However, if you want the approximation, simply plug it into your calculator and get 4.18154055.

Which function has an inverse that is a function? b(x) = x2 + 3
d(x) = –9
m(x) = –7x
p(x) = |x|

Answers

On the attached diagram you can see all graphs of functions b(x), d(x), m(x) and p(x).

Finding the inverse of a function f(x):

1. First, replace f(x) with y. This is done to make the rest of the process easier.

2. Replace every x with a y and replace every y with an x.

3. Solve the equation from Step 2 for y. This is the step where mistakes are most often made so be careful with this step.

4. Replace y with f^(-1)(x). In other words, you’ve managed to find the inverse.

5. Remember: the domain of f is the range of f^(-1) and the range of f is the domain of f^(-1).

Using this algorithm, you can find the inverse only in case C:

for m(x)=-7x:

1. y=-7x.

2. x=-7y.

3. y=-x/7.

4. m^(-1)(x)=-(x)/(7).

5. The domain and the range of m(x) are all real numbers as well as the domain and the range of m^(-1)(x).

Functions b(x) and p(x) are not one-to-one functions (see attached diagram), then you can't find an inverse function. Function d(x) doesn't include x, then you can't also find an inverse function.
Hello,

Answer C

y=-7x ==>x=-7y==>y=-x/7 is the inverse of m(x)
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