What is the surface area, in square inches, of a disco ball with a circumference of 188.5 centimeters?

Answers

Answer 1
Answer: A = 11300 cm2

Hope this helps!

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A local hamburger shop sold a combined total of 574 hamburgers and cheeseburgers on Saturday. There were 74 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?

Answers

500 hamburgers, I believe.

Which of the following represents the factorization of the polynomial below?
2x2 +11x +5

Answers

Answer:

(2x + 1)(x + 5)

Step-by-step explanation:

2x² + 11x + 5 =

= 2x² + 10x + x + 5

= 2x(x + 5) + (x + 5)

= (2x + 1)(x + 5)

Consider the following two circles. Circle P with center (-1, 2) and radius 3 and circle Q with center (3, 4) radius 5. What sequence of transformations will carry circle P onto circle Q? Select all that apply.A. Dilation centered at Q, followed by reflection across the y-axis
B. Dilation centered at P, followed by reflection across the y-axis and then the line y = -x + 5
C. Translation (x,y) -> (x+4, y+2), followed by dilation centered at Q
D. Dilation (x+y) -> (3/5x, 3/5y), followed by dilation centered at P
E. Reflection over x-axis followed by rotation of 270 degrees

Answers

Answer:

B. Dilation centered at P, followed by reflection across the y-axis and then the line y = -x + 5

Step-by-step explanation:

Circle P.

Centerat (-1, 2).

Radius of 3.

Circle Q.

Center at (3, 4).

Radius of 5.

To carry one circle onto the other, their centers and radius must be the same.

So, circle P must be shifted from (-1, 2) to (3, 4), that means the translation is 4 units to the right side and two units upside, this is the first transformation.

The second transformation must be about stretching the circle P, from a radius of 3 to a radius of 5.

Therefore, the right answer is B.

Answer: Option b and Option c

Kendra is buying bottled water for a class trip.She has 16 bottles left over from the last trip.She buy bottles by case to get a good price.Each case holds 24 bottles.How many cases will she to have to buy if she wants to have a total of 160 bottles of water??.

Answers

She will have to get 6 cases of water.

2. Which is larger?The common ratio, r , in a geometric sequence whose second term is
24 and whose fifth term is 1536
or
The common difference, d , in an arithmetic sequence whose fourth
term is 16 and whose seventh term is 31.

Answers

Answer:

The common difference d is larger than the common ratio r

Step-by-step explanation:

  • The common difference in the arithmetic sequence  d=u_(n)-u_(n-1)
  • The nth term in the arithmetic sequence is a_(n)=a+(n-1)d , where a is the first term
  • The common ratio in the geometric sequence r=(u_(n))/(u_(n-1))
  • The nth term in the geometric sequence is a_(n)=a(r)^(n-1) , where a is the first term

Geometric sequence

∵ The second term is 24

u_(2) = 24

u_(2)=a(r)^(2-1)=ar

- Equate it by its value

∴ ar = 24 ⇒ (1)

∵ The fifth term is 1536

∴  u_(5) = 1536

u_(5)=a(r)^(5-1)=ar^(4)

- Equate it by its value

ar^(4) = 1536 ⇒ (2)

Divide (2) by (1)

(ar^(4))/(ar)=(1536)/(24)

- Divide up and down by ar

∴ r³ = 64

- Take ∛  for both sides

r = 4

Arithmetic sequence

∵ The fourth term is 16

u_(4) = 16

u_(4) = a + (4 - 1)d

u_(4) = a + 3 d

- Equate it by its value

∴ a + 3d = 16 ⇒ (1)

∵ The seventh term is 31

u_(7) = 31

u_(7) = a + (7 - 1)d

u_(7) = a + 6 d

- Equate it by its value

∴ a + 6 d = 31 ⇒ (2)

Subtract equation (1) from equation (2) to eliminate a and find d

∵ (a - a) + (6 d - 3 d) = (31 - 16)

∴ 3 d = 15

- Divide both sides by 3

d = 5

∵ r = 4 and d = 5

d > r

The common difference d is larger than the common ratio r

Ariel deposited $100 into a bank account. Each friday she will withdraw 10% of the money in the account to spend. Ariel thinks her account will be empty after 10 withdrawls. Do you agree explain.

Answers

Answer: Yes, I agree. $10 will be withdrawn every Friday, resulting in the $100 she deposited being completely gone after 10 withdrawals.


Step-by-step explanation: You will want to find the amount of money being taken from the $100 withdrawal first. Turn the percent into a decimal, which should result to 0.10. Take this decimal and multiply it with 100 to get the amount of money being taken out of the account each week, which should be $10. I would go about answering this by multiplying the $10 by the amount of 10 withdrawals. This would result in 100. This answers the question because we are trying to see if 10 withdrawals will completely deplete the $100 in the account.