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kaheart [24]
4 years ago
5

Expand: In 2a^3/b^4

Mathematics
1 answer:
dem82 [27]4 years ago
8 0

Answer:

(A)ln 2+3lna-4ln b

Step-by-step explanation:

Given the expression: ln \dfrac{2a^3}{b^4}

We apply the following laws of logarithm to expand:

Log (ab)=Log a+Log b\\Log(a/b)=Log a-Log b\\Log a^x=xLog a

Therefore:

ln \dfrac{2a^3}{b^4}=ln 2a^3-ln b^4\\=ln 2+lna^3-ln b^4\\=ln 2+3lna-4ln b

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The best player on a basketball team makes 85% of all free throws. The second-best player makes
xxTIMURxx [149]

Answer:

i. Estimated number of free throws of the best player = 0.85 * 40

ii. 34 free throws

Step-by-step explanation:

Percentage of free throws made by the best player = 85%

Percentage of free throws made by the second best player = 75%

Percentage of free throws made by the third best player = 70%

Therefore, for 40 attempts;

i. Estimated number of free throws made by the best player = 85% x 40

                                                         = 0.85 x 40

                                                         = 34

ii. Estimated number of free throws made by the second best player = 75%x 40

                                                                 = 0.75 x 40

                                                                 = 30

iii. Estimated number of free throws made by the third best player = 70% x 40

                                                                   = 0.70 x 40

                                                                   = 28

Thus, the equation that gives the estimated number of free throws is 0.85 * 40.

The best player will make about 34 free throws.

8 0
3 years ago
Which is the function represented by the table?
zheka24 [161]
The answer is A, you would plug in 3 for fx so therefore the answer would be A. Then to make sure plug in the other functions.:)
5 0
3 years ago
Read 2 more answers
Functions order from least to greatest answers and explanation pleaseee!!
TiliK225 [7]
C, A, B

A’s rate if change:
3

B’s rate of change:
(10 - 0) / (-2 - (-4)) = 10 / 2
5

C’s rate of change:
1
4 0
3 years ago
Using the converse of Pythagorean Theorem and the law of sines and cosines solve the word problem.
Helga [31]

Answer:

It's the law of cosines

Step-by-step explanation:

law of cosines states that c^{2} =a^{2} +b^{2} -2ab (cos(\alpha ))

so we know that a = 7, b = 4, and alpha would be 135 degrees, so just plugging it in gets us 49+16-2*7*4*(-0.707) = 65 + 39.59 = 104.59

7 0
3 years ago
Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°? Round to the nearest whole n
nikdorinn [45]

Answer:

9 Sides

Step-by-step explanation:

According to the Question,

  • Given That, The sum of the interior angles(s), in an n-sided polygon can be determined using the formula s=180(n−2), where n is the number of sides

Therefore, The sides do a polygon have if the sum of the interior angles is 1,260°.

Put The Values in Formula, we get

1260=180(n−2)

n-2 = 7

n=9 (9 Sides)  

6 0
3 years ago
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