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Ad libitum [116K]
1 year ago
6

The height of an object t seconds after it is dropped from a height of 300 meters is s(t) = −4.9t2 + 300. (a) Find the average v

elocity of the object during the first 6 seconds. -78.4 m/s (b) Use the Mean Value Theorem to verify that at some time during the first 6 seconds of fall, the instantaneous velocity equals the average velocity. Find that time. 2.1 s

Mathematics
1 answer:
Katena32 [7]1 year ago
6 0

Answer:

See it in the pic

Step-by-step explanation:

See it in the pic

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Worth 80 points!! It's alot for me to understand and i wanna get it right someone help?
Mandarinka [93]

Add all the new budget amounts:

510 + 254 + 295 + 51 + 0 + 100 + 100+ 0 + 100 = 1410


Her monthly total is 1410, which is less than her income of 1700

1700 - 1410 = 290

She has $290 extra each month.

So she can divide that amount by 2 to put an equal amount in each blank category, or add what ever amount less than that into each one.


4 0
1 year ago
The typical college freshman spends an average of μ=150 minutes per day, with a standard deviation of σ=50 minutes, on social me
Rashid [163]

Answer: The proportion of students spending at least 2 hours on social media equals 0.7257 .

Step-by-step explanation:

Given : The typical college freshman spends an average of μ=150 minutes per day, with a standard deviation of σ=50 minutes, on social media.

The distribution of time on social media is known to be Normal.

Let x be the number of minutes spent on social media.

Then, the probability that students spending at least 2 hours (2 hours = 120 minutes as 1 hour = 60 minutes) on social media would be:

P(x\geq120)=1-P(x

Hence, the proportion of students spending at least 2 hours on social media equals 0.7257 .

4 0
2 years ago
The weight, w, in tons of a school bus is related linearly to its seating capacity, p. a 60-passenger bus weighs 10 tons, and an
lidiya [134]
The linear equation of relating two objects can be written in the form,
                                    y = ax + b 
Our x is the number of passenger and y is the weight (in tons). Using the first two conditions,
                                    10 = 60(a) + b
                                     13 = 84(a) + b
The values of a and b from the equations are 0.125 and 2.5. 
For 50-passenger bus,
                                    y = (50)(0.125) + 2.5
The value of y is 8.75. 
7 0
1 year ago
Read 2 more answers
The diagonals of kite ABCD intersect at E. If ∡EBC=30°, what is ∡BCE?
lukranit [14]

Answer:

∡BCE = 60

Step-by-step explanation:

Here, we want to find the angle marked BCE

From our diagram, the angle marked BCE is y

Looking at triangle BCE, we have the right angle, an angle measure of 30 and the angle marked y which we say is BCE

mathematically, the sum of all these will give 180 as the sum f the interior angles of a triangle is 180

Thus, we have that;

y + 30 + 90 = 180

y = 180-120

y = 60

8 0
1 year ago
The number of gallons of gas that were in the tank minus 9 leaves 3 gallons
erastovalidia [21]
<h3>Hey!</h3>

<em><u>To solve the missing number of the original amount of gallons that were in the tank is simply by adding the two numbers we have: </u></em>

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

9+3= 12 gallons

<u><em>To make sure 12 was the original number, subtract 12 from 9. </em></u>

<u><em /></u>

<u><em>12-9= 3 gallons </em></u>

So your answer to your question is 12 gallons!

Hope this helped! °ω°

7 0
2 years ago
Read 2 more answers
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