Which of the following polygons can form a regular tessellation?A. Regular heptagon
B. Regular pentagon
C. Regular octagon
D. Square

Answers

Answer 1

Answer:

Answer:

D. Square

Step-by-step explanation:

A square is a regular tessellation because a regular tessellation is a pattern made up of only one single shape placed in some kind of pattern.

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Erykah has 6 less than 3 times the number of stamps in her collection that Chris has in his. Let r equal the number of stamps Chris has. Which expression represents the number of stamps Erykah has? (Let r = the number of stamps Chris has)A. 6 - 3r
B. 3r + 6
C. 3r - 6
D. 6 + 3r

Answers

C. 3r-6 is the answer

Answer:

Step-by-step explanation:

let r be the number of stamps Chris has then

3times this amount is 3r and less 6 is subtract 6 from 3r, hence

Erykah has 3r - 6 stamps → C

The sum of two consecutive integers is at least 46. What is the least possible pair of integers?. A. 21 and 23. B. 23 and 24. C. 22 and 23. D. 24 and 25

Answers

A) 21+23 = 44
B) 23+24 = 47
C) 22+23 = 45
D) 24+25 = 49

The closest answer to the 46 is answer c.
C. 22 and 23

Answer:

the answer is 23 and 24

Step-by-step explanation:

I just did the middle school test and that was the correct answer.

What is the inverse of the function f(x) = x – 12?

Answers

Final answer:

The inverse of the function f(x) = x - 12 is found by swapping x and y, and solving for y. The inverse is f-1(x) = x + 12.

Explanation:

The inverse of a function 'f' can be found by swapping the x and y. If we consider the original function as y = f(x) = x – 12, the inverse of the function will be found by reversing this as x = y – 12. Solving for 'y' to express the inverse function 'f-1(x)', we add 12 to both sides to get f-1(x) = x + 12. Hence, the inverse of the function f(x) = x – 12 is f-1(x) = x + 12. Keep in mind, the inverse of a function is a reflection of that function across the line y=x, representing a mirror image of the original.

Learn more about Inverse Functions here:

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The standard normal curve shown below models the population distribution of a random variable. What proportion of the values in the population does not lie between the two z-scores indicated on the diagram?z=-1.25
z=0.80

Answers

Answer:

0.3175

Step-by-step explanation:

z=-1.25 from table is .1056

z=.80 from table is .7881

subtract from each other =.6825

Subtract from the whole is 1-.6825=0.3175

Tamora just made the last of her monthly payments on her loan. She had been making these payments for the past nine years. The loan had a principal of $10,675 and an interest rate of 4.75%, compounded monthly. In addition, Tamora paid $939.25 in service charges. What was Tamora’s total finance charge? Round all dollar values to the nearest cent.a.
$939.25
b.
$11,614.25
c.
$3,403.53
d.
$2,464.28

Answers

Answer : $3403.53

Detailed Solution:
principal was 10,675
interest rate was 4.75% per year compounded annually.
additional $939.25 was paid in service charges.
payment on the principal plus interest is shown below:

pv = 10675
i = .0475/12 = .0039583333... per month.
n = 9 * 12 = 108 months.
fv = 0
pmt = 121.6635... per month
total finance charge would be (108 * 121.6635... + 939.25 - 10675).
that equals to 13139.66 + 939.25 - 10675 = 3403.91

principal = 10,675
interest rate = 4.75% per year compounded monthly.
additional $939.25 was paid in service charges.

Annuity Payment PV
10,675 * (4.75%/12) ÷ [1 - (1+ 4.75%/12)^-12*9]
10,675 * 0.00396 ÷ [1 - (1.00396)^-108]
42.273 ÷ (1 - 0.655)
42.273 ÷ 0.345 = 122.53

122.53 * 108 = 13,233.24 interest and principal

13,233.24 + 939.25 - 10,675 = 3,497.49

The answer is closer to Choice C. The minimal difference in amount is due to the rounding off of decimal places.

Round 4745 to the nearest thousand