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STALIN [3.7K]
3 years ago
12

Question is in picture

Mathematics
1 answer:
Fed [463]3 years ago
5 0

Answer:

A: The x-intercept is x = -5 and the graph approaches a vertical asymptote at x = -6

Step-by-step explanation:

The diagram shows translated to the left graph of the logarithmic function.

This graph intersects the x-axis at point x = -5, hence the x-intercept is at x = -5.

This graph approaches to the vertical line. The line passes through the point (-6,0), so the equation of this vertical line is x = -6.

Therefore, correct option is A: The x-intercept is x = -5 and the graph approaches a vertical asymptote at x = -6

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On Saturday, Nicole earns no more than $55 at her job. On Sunday, she earns at least $40. Which of these inequalities represent
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B

Step-by-step explanation:

use your head

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Find the dot product of the position vectors whose terminal points are (14, 9) and (3, 6).
erma4kov [3.2K]

Answer:

Step-by-step explanation:

The formula for the dot product of vectors is

u·v = |u||v|cosθ

where |u| and |v| are the magnitudes (lengths) of the vectors. The formula for that is the same as Pythagorean's Theorem.

|u|=\sqrt{14^2+9^2} which is \sqrt{277}

|v|=\sqrt{3^2+6^2} which is \sqrt{45}

I am assuming by looking at the above that you can determine where the numbers under the square root signs came from. It's pretty apparent.

We also need the angle, which of course has its own formula.

cos\theta=\frac{uv}{|u||v|} where uv has ITS own formula:

uv = (14 * 3) + (9 * 6) which is taking the numbers in the i positions in the first set of parenthesis and adding their product to the product of the numbers in the j positions.

uv = 96.

To get the denominator, multiply the lengths of the vectors together. Then take the inverse cosine of the whole mess:

cos^{-1}\theta=\frac{96}{111.64676} which returns an angle measure of 30.7. Plugging that all into the dot product formula:

u*v=\sqrt{277}*\sqrt{45}cos(30.7) gives you a dot product of 96

6 0
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What is 7.2 times 10 to the 7th power times 14.6 x 10 to the 5th power?
Alexxx [7]

7 x 10^{7}  times 14.6 x10^{5}

<em>Multiply 7 and 14.6 and add exponents</em>

Final Answer 102.2 and 10^{5}

hope that helps :)

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Andreyy89

Answer:

60 inches

Step-by-step explanation:

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3 years ago
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