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gizmo_the_mogwai [7]
2 years ago
6

In the table adam recorded the miles he travled each day while traveling from Florida to California. Calculate the average rate

of change between day 4 and day 6.
Table:

End of day Distance
1 383
2 682
3 1132
4 1503
5 1906
6 2196

Answers: A) 231 Miles
B) 290 Miles
C) 347 Miles
D) 440 Miles
Mathematics
1 answer:
blagie [28]2 years ago
5 0

Hi!

<em>To calculate the rate of change between days 4 and 6, we simply take those points, (4, 1503) and (6, 2196) and use the equation in the picture below:</em>

<em />

Now, when we plug it in the equation, it looks like this:

\frac{2196-1503}{6-4} = \frac{693}{2} = 346.5

Therefore, your answer is 346.5 or, rounded, 347.

<em><u>Meaning, your answer is C</u></em>

<em><u></u></em>

Hope this helps and have a great day! :D

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Given: sin ∅= 4/5 and cos x = -5/13 ; evaluate the following expression.<br><br> tan( ∅ - x )
Pavlova-9 [17]

By definition of tangent,

tan(θ - x) = sin(θ - x) / cos(θ - x)

Expand the sine and cosine terms using the angle sum identities,

sin(x ± y) = sin(x) cos(y) ± cos(x) sin(y)

cos(x ± y) = cos(x) cos(y) ∓ sin(x) sin(y)

from which we get

tan(θ - x) = (sin(θ) cos(x) - cos(θ) sin(x)) / (cos(θ) cos(x) + sin(θ) sin(x))

Also recall the Pythagorean identity,

cos²(x) + sin²(x) = 1

from which we have two possible values for each of cos(θ) and sin(x):

cos(θ) = ± √(1 - sin²(θ)) = ± 3/5

sin(x) = ± √(1 - cos²(x)) = ± 12/13

Since there are 2 choices each for cos(θ) and sin(x), we'll have 4 possible values of tan(θ - x) :

• cos(θ) = 3/5, sin(x) = 12/13 :

tan(θ - x) = -56/33

• cos(θ) = -3/5, sin(x) = 12/13 :

tan(θ - x) = 16/63

• cos(θ) = 3/5, sin(x) = -12/13 :

tan(θ - x) = -16/63

• cos(θ) = -3/5, sin(x) = -12/13 :

tan(θ - x) = 56/33

7 0
2 years ago
Read 2 more answers
Lynette has a metal doorstop with the dimensions shown.
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The base is 30cm in area, and the width is 3.5cm, which makes the volume 105in³

The mass of the doorstop can be found by just multiplying the grams per cubic centimeter by the volume, which would be 871.5g

7 0
3 years ago
Good science requires that you record your observations accurately.<br><br><br><br> TrueFalse
enyata [817]

Answer:

True.

Step-by-step explanation:

6 0
2 years ago
Paul wants a bike that cost $400. If he had saved 60% of this amount, how much had he saved.
enyata [817]
Hey!


To solve this problem, we'll first start by creating an equation.

<em>Our Created Equation :
</em>
\frac{400 x 60}{100}

Now we'll solve it step by step to find the answer.

So we should begin by multiplying the to portion of our fraction.

<em>400 x 60 = 24,000</em>

Next, we divide our answer by 100, since that is the next step to our equation.

<em>24,000 ÷ 100 = 240</em>

So, our answer is...

<em>Paul has already saved</em>  $240.00  <em>of the $400.00 he must pay for a new bike.</em>

Hope this helps!


- Lindsey Frazier ♥
4 0
3 years ago
Can you help with a please on 46
valentina_108 [34]
3/5
Thats if u devide 9 by 3 and 15 by 5
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3 years ago
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