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yan [13]
3 years ago
11

Select the correct answer.

Mathematics
1 answer:
algol [13]3 years ago
3 0

Answer:

its answer C. y=-8

Step-by-step explanation:

y=-8 passes through (-2, -8) and is parallel to y=3 because they're both horizontal

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Find the value of the integral that converges.<br> ∫^-5_-[infinity] x^-2 dx.
Bingel [31]

Answer:

\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}

Because the \lim_{x\to -\infty} \frac{1}{x} =0

The integral converges to \frac{1}{5}

Step-by-step explanation:

For this case we want to find the following integral:

\int_{-\infty}^{-5} x^{-2}dx

And we can solve the integral on this way:

\int_{-\infty}^{-5} x^{-2}dx= \frac{x^{-2+1}}{-2+1} \Big|_{-\infty}^{-5}

\int_{-\infty}^{-5} x^{-2}dx= -\frac{1}{x} \Big|_{-\infty}^{-5}

And if we evaluate the integral using the fundamental theorem of calculus we got:

\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}

Because the \lim_{x\to -\infty} \frac{1}{x} =0

The integral converges to \frac{1}{5}

8 0
3 years ago
What is the square root of 49 multiplied by the square root of 9
fiasKO [112]
First we need to find the the answer to both the square root of 49 and 9.

The "square root" is a term referring to a number, multiplied by itself (x • x) would be = to your square root.

So for example: Square root of 16 = 4 because 4*4=16 

So lets get out numbers:

\sqrt{9} =3&#10;
\sqrt{49}=7

Now you multiply 3*7 (or 7*3) and you get 21.

Final answer: 21

7 0
3 years ago
Read 2 more answers
A basketball player has 45 steals, 72 assists, 90 rebounds, and 432 points. What is
aalyn [17]

Answer:

5:24

Step-by-step explanation:

We're provided with the number of rebounds as 90 while the points are 432. Expressing them into ratio of rebounds to steals we have

90:432

Simplification:

Dividing both sides by 2 we obtain

45:216

Dividing both sides of the above ratio by 3 we obtain

15:72

Dividing both sides of the above ratio further by 3 we obtain

5:24

Therefore, rhe simplified ratio of rebounds ro steals is 5:24

8 0
3 years ago
There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth grader
Anon25 [30]

Answer:

The number of students in the school band = 70

40% of students in the school band are sixth graders.

20% of students in the school band are seventh graders.

We have to find the number of band members that are sixth graders.

The number of sixth graders in school band are:

40\% of 70

0.40 \times 70

28

Therefore, there are 28 band members that are sixth graders.


4 0
3 years ago
The length of the hypotenuse of a right triangle is 14 inches. If the length of one leg is 6 inches, what is the approximate len
Liula [17]
Using the Pythagorean theorem:

6^2 + X^2 = 14^2

36 + x^2 = 196

X^2 = 196-36 

x^2 = 160

x = SQRT(160)

x = 4 SQRT(10)   
Or as a decimal:
x = 12.65 inches
5 0
3 years ago
Read 2 more answers
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