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agasfer [191]
3 years ago
9

Simplify the expressions below. Write the final product in standard form and show your work to receive full credit.

Mathematics
1 answer:
frozen [14]3 years ago
7 0
1.
1.2 x^4 ( 4 x² + 3 x + 1 ) = 4.8 x^6 + 3.6 x^5 + 1.2 x^4
2.
( 4 x - 3 ) ( 2 x² - 7 x + 1 ) = 8 x³ - 28 x² + 4 x - 6 x² + 21 x - 3 =
= 8 x³ - 34 x² + 25 x - 3
3.
( x² + 4 x - 3 ) ( 2 x² + x + 6 ) =
= 2 x^4 + x³ + 6 x² + 8 x³ + 4 x² + 24 x - 6 x² - 3 x - 18 =
= 2 x^4 + 9 x³ + 4 x² + 21 x - 18 
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What is the surface area of a sphere with radius of 3.5? A. 12.25p B. 14p C. 24.5p D. 49p
Anuta_ua [19.1K]
S=4π<span>r<span>2 - this is the equation for the surface area of a sphere. We know that the radius (r) is 3.5 so here's how  to solve this:

S = 4</span></span><span>π r2
S = 4</span><span>π (3.5)2
S = 4</span><span>π 12.25
S = 49</span><span>π 

The surface area of a sphere with radius of 3.5 is 49</span><span>π.</span>
7 0
4 years ago
Isaac bought 20 quarts of water.
swat32

Answer:

5

Step-by-step explanation:

4x5=20

3 0
3 years ago
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Match the property name with the appropriate equation. Use each once.
vagabundo [1.1K]

Answer:

19. Opposite of a Difference     ↔    E. -(8 - 3·m) = 3·m - 8

20. Opposite of a sum               ↔    A.  -[(-r) + 2p] = -(-r) - 2p

21. Opposite of an Opposite     ↔   F. -1[ -1(9 - 2w)] =  9 - 2w

22. Multiplication by 0               ↔   B.  160 - (3d + 2)(0) = 160 - 0

23. Multiplication by                   ↔   D. -1 -(4r + 3s) + t = (-1)(4r + 3s) + t

21. Distributive property             ↔   C.  5(2 - x) = 10 - 5x

Step-by-step explanation:

19. Opposite of a difference is the difference of the opposites

20. Opposite of a sum is the sum if the opposites

21. Opposite of an opposite is the original number

22. Multiplication by 0- The result of multiplication by 0 is 0

23. Multiplication by -1 results in the change in sign of a number

24. Distributive property - Multiplying the sum or difference of two numbers  by a number, will have the same result as multiplying each each of the addends by the number individually and adding the product together.

4 0
3 years ago
shirts are 25% off. the original price of one shirt is $12. what is the total cost, in dollars of a shirt at the sale price, inc
Natalka [10]

Answer:

$9.45

Step-by-step explanation:

1 - 0.12 = 0.88

12.60 * 0.88 = 9.45

You save $3.15

8 0
3 years ago
Divide. Express your answer in simplest form. ○14 ○ 49 ○98 ○28​
Dimas [21]

Answer: 49

see below for work

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3 years ago
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