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3 years ago

What is the volume of a cylinder with a radius of 7.5 cm and a height of 20 cm

Mathematics

1 answer:

Travka [436]3 years ago

3 0

V= π(7.5)^2*20=3534.3 cubic cm

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Simplify the following polynomial expression. (5x^4 - 9x^3 + 7x - 1) + (-8x^4 + 4x^2 - 3x + 2) - ( -4x^3 + 5x - 1)( 2x - 7)

Lady bird [3.3K]

Answer: $5x^{4}-37x^{3}-6x^{2} +41x-6$

Step-by-step explanation:

1. You must apply the Distributive property. You need to remember the product property of exponents: If you multiply powers with the same base, you must add the exponents. Them you have:

$=5x^{4}-9x^{3}+7x-1-8x^{4}+4x^{2}-3x+2-(8x^{4}+28x^{3}+10x^{2}-35x-2x+7)\\=5x^{4}-9x^{3}+7x-1-8x^{4}+4x^{2}-3x+2-8x^{4}-28x^{3}-10x^{2}+35x+2x-7$

2. Now, you must add the like terms. Then, you obtain the following result:

$=5x^{4}-37x^{3}-6x^{2} +41x-6$

7 0

3 years ago

"$12 million per year. grow 10% compounded annually over the next 5 years. What will demand be in 5 years?"

Natalka [10]

Compound interest formula:

Amount = starting value x ( 1+ interest rate/compounds per year)^(compound per year x number of years)

Amount = 12,000,000 x (1+ 0.10/1)^(1x5)

Amount = 19,326,120.00

4 0

2 years ago

50 Σ (4n - 1) = [? ] 1

Kay [80]

Answer:

5050

Step-by-step explanation:

3 0

3 years ago

How do I solve for x ?X +8=-15

DanielleElmas [232]

Subtract 8 from both sides
So you end up with x = -23

7 0

3 years ago

Read 2 more answers

Taryn is shopping for a Christmas tree. At Home Depot the one she likes is $149.00 and she has a 15% off coupon. At Lowe's the o

Vitek1552 [10]

Answer:

Step-by-step explanation:

At home depot

Price of Christmas tree = $149.00

Discount = 15%

Amount discounted = 15% of $149

Amount discounted = 15/100 * $149

Amount discounted = 15 * 1.49

Amount discounted = $22.35

Amount she paid = $149-$22.35

Amount she paid = $126.65

At Lowe's:

Price of Christmas tree = $175.00

Discount = 260%

Amount discounted = 20% of $175

Amount discounted = 20/100 * $175

Amount discounted = 0.2 * 175

Amount discounted = $35

Amount she paid = $175-$35

Amount she paid at Lowe's = $140

From the prices above, it can be seen that Home Depot has a better deal since the price after removing discount is lower than that of Lowe's.

Amount she will save will be $140 - $126.65 = $13.35

6 0

3 years ago