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mrs_skeptik [129]
3 years ago
6

The table represents an exponential function.

Mathematics
1 answer:
makkiz [27]3 years ago
4 0
4/3 = 12exponential function
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A person swims 6.4 meters per
pishuonlain [190]

Using the slope concept, it is found that the angle of the swimmer's resultant vector is of 71.83º.

<h3>What is a slope?</h3>
  • The slope is given by the <u>vertical change divided by the horizontal change.</u>
  • It's also the tangent of the <u>angle of depression.</u>

In this problem:

  • The person swims 6.4 meters per second north, hence the vertical change is of 6.4.
  • The person is being pushed by a current moving west at 2.1 meters per second, hence the horizontal change is 2.1.

Then, considering that the slope is the tangent of the angle of depression \theta, which is also the angle of the  swimmer's resultant vector, we have that:

\tan{\theta} = \frac{6.4}{2.1}

\tan{\theta} = 3.04761904762

Using a trigonometric calculator:

\arctan{\tan{\theta}} = \arctan{3.04761904762}

\theta = 71.83^{\circ}

The angle of the swimmer's resultant vector is of 71.83º.

You can learn more about the slope concept at brainly.com/question/26125945

5 0
3 years ago
Identify the type of sample this is:
Nonamiya [84]
The Answer Is A! The person is giving a response back
6 0
3 years ago
The lengths of two sides of a triangle are given. Find the range of possible lengths for the third side.
Sladkaya [172]

Answer:

0 < x < 12

Step-by-step explanation:

According to the triangle inequality theorem, the sum of the two sides must be greater than the length of the third side. 6+6 = 12

0 < x < 12

6 0
3 years ago
3z+(-4)=-1 how would you find your answer to what is z?
Masja [62]

Answer:

z=1

Step-by-step explanation:

3z+(-4)=-1

Add 4 to each side

3z+(-4) +4=-1+4

3z = 3

Divide each side by 3

3z/3 = 3/3

z=1

5 0
3 years ago
Read 2 more answers
I'm not smart and I stink at math so can someone plz help me 12/x = 8
tensa zangetsu [6.8K]

1. We need to get rid of all the denominator in this equation.

  • This can be done by multiplying left and right sides by the LCD.
  • In the problem: 12/x = 8, the LCD is X.

12/x = 8 is now 12 = x * 8

1a. 8 * x = 8x

Now, your answer is 3/2, but It's improper. Let's convert it into a mixed number.

Subtract 3 by 2.

3 - 2 = 1

3/2 = 1 1/2

Therefore, your answer is 1 1/2. Also, the answer is 1.5.

4 0
3 years ago
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