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LenaWriter [7]
2 years ago
6

Simplify -6(-2p^2-3)

Mathematics
1 answer:
vova2212 [387]2 years ago
3 0

Answer:

Distribute

−6(−22−3)

122+18

Step-by-step explanation:

Solution

122+18

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A factory makes light fixtures with right regular hexagonal prisms where the edge of a hexagonal base measures 4 cm and the leng
chubhunter [2.5K]

The maximum length of the prism is highest length of the hexagonal prism

The maximum length of each prism is 8.0 cm

<h3>How to determine the maximum length of each prism?</h3>

The surface area of the hexagonal prism is calculated using:

A = 6al + 3\sqrt3 a^2

Where:

a represents the edge length; a = 4 cm

l represents the length (or height) of the prism

The surface area costs $0.04 per square centimeter.

So, we have:

C = 0.04 * [6al + 3\sqrt3 a^2]

The maximum cost is $11.

So, the equation becomes

11 = 0.04 * [6al + 3\sqrt3 a^2]

Substitute 4 for a

11 = 0.04 * [6 * 4l + 3\sqrt3 * 4^2]

Evaluate the products and exponents

11 = 0.04 * [24l + 48\sqrt3]

Divide both sides by 0.04

275 = 24l + 48\sqrt3

Subtract 48\sqrt3 from both sides

24l = 275 - 48\sqrt3

Evaluate the difference

24l = 191.9

Divide both sides by 24

l = 8.0

Hence, the maximum length of each prism is 8.0 cm

Read more about surface areas at:

brainly.com/question/6613758

6 0
2 years ago
A new vaccine claims to reduce the risk of contracting chickenpox from 80% to 20%. Which of the following statements is true reg
dlinn [17]

Answer:

  • The vaccine decreases the risk of contracting chickenpox by 75 percentage

Step-by-step explanation:

Risk of contracting chickenpox is reduced from 80% to 20%.

<u>This reduction in percentage is:</u>

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<u>Correct choice is:</u>

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3 years ago
If parallelogram RSTV has diagonals then RSTV must also be a _______. square and a rectangle rhombus and a rectangle rhombus rec
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<span>a rectangle rhombus(parallelogram) since even a parallelogram has diagonals</span>
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Tony will run at most 31 miles this week. So far, he has run 20 miles. What are the possible numbers of additional miles he will
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Answer:

t=11

Step-by-step explanation:

31-20=11

so 11 miles left

5 0
3 years ago
Kelly paid $45.36 for a sweater that was on sale for 25% off the original price. She paid 8% sales tax on the sale price.
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Take 45.36 *.08 to get the price of the sweater 45.36 *.08 =3.6288 so take 45.36-3.63= 41.73 and take 41.73 *.25 = 10.4325 take 41.73+10.43=52.16 is the original price of the sweater
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