MATHEMATICS HIGH SCHOOL

The equation of a circle is given below. (x-0.5)^{2}+(y-3.5)^{2} = 16(x−0.5) 2 +(y−3.5) 2 =16left parenthesis, x, minus, 0, point, 5, right parenthesis, squared, plus, left parenthesis, y, minus, 3, point, 5, right parenthesis, squared, equals, 16 What is its center? ((left parenthesis ,,comma ))right parenthesis What is its radius? If necessary, round your answer to two decimal places. units

Answers

Answer 1
Answer:

Answer:

The radius is 4 units long.

Step-by-step explanation:

The given equation is

(x-0.5)^(2) +(y-3.5)^(2) =16

This equation belongs to a circle, which center is at (0.5, 3.5) and its radius is 4.

You can deduct its elements, becase this equation of the circle is explicit, which means the constant term represents the square power of the radius. Solving that, we have

r^(2) = 16\nr=√(16)\n r=4

Therefore, the radius is 4 units long.

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12.Last year, the average math SAT score for students at one school was 475. The headmaster then introduced a new teaching method hoping to improve scores. This year, the mean math SAT score for a sample of students was 491. The headmaster concluded that the new teaching method produces higher SAT scores. What is the problem with reporting results this way?

correlation and causality

voluntary response

missing data

loaded question

Answers

Last year, the average math SAT score for students at one school was 475. The headmaster then introduced a new teaching method hoping to improve scores. This year, the mean math SAT score for a sample of students was 491. The headmaster concluded that the new teaching method produces higher SAT scores. The problem with reporting results this way is voluntary response. The information of how the teaching method isnot mentioned.

Answer: voluntary response

I just took the test and got it right

14.4% of 72.5 is what

Answers

10.44!

Hope this helped :)
14.4% of 72.5 is 10.44

Andy is one-fourth as old as his grandfather, who is 76 years old. Write an equation to determine whether Andy is 19 or 22 years old.

Answers

We know that if we multiply Andy's age by four we obtain 76. Lets assume that Andy's age its x. so
4*x=76
Now we have to solve equation
4*x=76     /:4 divide both sides by 4
x=19 - its the answer
A=Andy
G=Andy's Grandfather

A*4=G
G=76
A*4=76
/4
a=19

What strategy would be the best to solve this problem? Ann-Marie bought apples. She kept one-third for herself and gave the rest to 4 friends. Each friend got 2 apples. How many apples did Ann-Marie buy? A. guess, check and revise B. work backwards C. use a formula D. look for patterns

Answers

Answer:

D. Look for patterns

Step-by-step explanation:

To solve :

Assume number of apples bought = x

Fraction kept = 1/3 of x

Fraction shared = (x - x/3) = (3x - x) /3 = 2x/3

Number of people who shared (2x/3) = 4 with each getting 2

Total number shared = 4 * 2 = 8

Fraction shared = total shared

2x/3 = 8

Multiply both sides by 3

(2x/3) * 3 = 8 * 3

2x = 24

x = 12

Hence, Anne-Marie purchased 12 apples

Convert 10.6 to fraction

Answers

10.6 = 10.6 / 1

Numerator = 10.6 × 10 = 106
Denominator  = 1 × 10 = 10

Numerator / Denominator = 106 / 10

The simplified fraction:

= 106/10

= 53/5

= 10  3/5

8 buttons are to 1 package as ? buttons are to 5 packages.20
30
40
50

Answers

8b = 1p (or p) (original statement)
To figure out how to get 5 packages, you multiply each side by 5
8b x 5 = 40b
1p (or p) x 5 = 5p
40b = 5p
So in conclusion, 40b (40 buttons) = 5p (5 packages)
Hope this helped!
40 buttons are to 5 packages

8/1 = x/5
multiply by 5 on both sides
x=40
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