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skad [1K]
3 years ago
9

Answer the question in the pic below (math)

Mathematics
1 answer:
Marta_Voda [28]3 years ago
7 0

Answer:

46.95 in.²

Step-by-step explanation:

Surface area of the kaleidoscope = surface area of a triangular prism = 2(BA) + P*H

Base area (B) = 2(½*bh) = 2(½*1.5*1.3) = 1.95 in.²

Perimeter of base (P) = 1.5 + 1.5 + 1.5 = 4.5 in.

Height of prism (H) = 10 in.

Plug in the values

Surface area = 1.95 + 4.5*10 = 46.95 in.²

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Find an equation for the nth Term of a geometric sequence where the second and fifth terms or -8 and 512, respectively
zhenek [66]

Answer:

32

Step-by-step explanation:

5 0
3 years ago
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A scuba diving company currently charges $100per dive. On average, there are 30 customers per day. The company performed a study
Semenov [28]

A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write R=PC.

Per price increase is $20. So four price increase is $20*4=$80. Hence, price per dive is 100+80=$180.

Also per price increase, 2 customers are reduced from 30. For 4 price increases, 4*2=8 customers are reduced. Hence, total customers is 30-8=22.

So Total Revenue is:

R=180*22=3960


B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.

Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.

Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.

R=(100+2x)(30-2x)=-40x^{2}+400x+3000


C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y). That x value is given as x=-\frac{b}{2a}, where a is the coefficient of x^{2} and b is the coefficient of x. So we have,

x=-\frac{b}{2a}=- \frac{400}{(2)(-40)}=5

That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be 5*20=100. So the price that gives the greatest revenue is 100+100=200.

ANSWERS:

A. $3960

B. R=-40x^{2}+400x+3000

C. $200

4 0
3 years ago
Karen has $600. She spent $240 on clothes. What percentage of money did she have left?
Rudiy27

Answer: She had 60% of the money left

Step-by-step explanation:

240/600=0.4

0.4 = 40%

100%-40%=60%

7 0
3 years ago
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Simplify this expression, you are y years old. Your sister is 3 years older than you. Your uncle is 4 times older than your sist
uysha [10]

Answer:The simplified expression that represents the uncle's age is

4y + 12

Step-by-step explanation:

Let y represent your age.

Your sister is 3 years older than you. This means that your sister's age is y + 3

Your uncle is 4 times older than your sister. It means that the age of your uncle would be

4(y + 3)

The simplified expression that represents your uncle's age would be

4y + 12

8 0
4 years ago
Any help on this pleasee anyone??
meriva
False, it would not make a right triangle
8 0
3 years ago
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