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Snowcat [4.5K]
2 years ago
7

A bug is moving back and forth on a straight path. The velocity of the bug is given by vt=t2-3t. Find the average acceleration o

f the bug on the interval 1, 4.
Mathematics
1 answer:
g100num [7]2 years ago
3 0

Answer:

2 unit/time²

Step-by-step explanation:

Given the equation:

v(t) =t^2-3t

At interval ; 1, 4

V(1) = 1^2 - 3(1)

V(1) = 1 - 3

V(1) = - 2

At t = 4

V(4) = 4^2 - 3(4)

V(4) = 16 - 12

V(4) = 4

Average acceleration : (final - Initial Velocity) / change in time

Average acceleration = (4 - (-2)) ÷ (4 - 1)

Average acceleration = (4 + 2) / 3

Average acceleration = 6 /3

Average acceleration = 2

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The owner of a chain of supermarkets notices that there is a positive correlation between the sales of beer and the sales of ice
Dmitry_Shevchenko [17]

Answer:

D. the sale of beer and ice cream may both be affected by another variable such as the outside temperature.

Step-by-step explanation:

A. There is no evidence to indicate that the positive correlation observed is an error.

B. Even though there is a positive correlation between beer and ice cream sales, there is no evident cause and consequence relationship.

C. The relationship isn't necessarily linear.

D. It is plausible to assume that the sales of beer and ice cream are both affected by another variable like temperature. Both of the products are usually consumed cold and should see an increase in sales during warmer seasons and a decrease in sales during colder seasons.

4 0
2 years ago
Two friends went rowing on the river. They first traveled with current for 3 hours. The way back took them 4 hours and 48 minute
kaheart [24]

Answer:

1.5 mph

Step-by-step explanation:

Let speed of boat be x

let speed of current be c

Also, note D = RT

D is distance

R is rate

T is time

Now, for first leg, we can write:

(x+c)3 = D

And for second leg , we can write:

(x-c)4.8 = D  [note 4 hour 48 minutes is 4.8 hours]

We can equate both D's to get:

(x+c)3 = (x-c)4.8

3x + 3c = 4.8x - 4.8c

7.8c = 1.8x

We know x = 6.5 [given], plugging it in and solving for c:

7.8c = 1.8(6.5)

c = 1.5

Speed of Current = 1.5 miles per hour

3 0
2 years ago
Read 2 more answers
Using only the values given in the table for the function f(x) = –x3 + 4x + 3, what is the largest interval of x-values where th
nikklg [1K]
I assume you mean -x^3 + 4x + 3 
so what you need is 4x + 3 > x^3
the only whole number it could be is 2 because 2x2x2 +3 > 2x2x2

4 0
2 years ago
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For an outdoor track meet to be cancelled, the temperature, t, outside must be colder than 35 degrees. Complete the following in
qwelly [4]

Answer: I'm pretty sure it would be -7º Celcius for it to be cancelled. Hope it helped!

7 0
2 years ago
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Write a expression that shows 3 times the sixth power of 10
user100 [1]
(10 raised to the power of 6)×3     

(10*6) ×3
8 0
2 years ago
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