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EleoNora [17]
3 years ago
8

Neglecting air resistance, an object in free fall accelerates at 32 feet per second squared. So the velocity of the object t sec

onds after being dropped is 32t feet per second. Suppose a ball is dropped from the top of the Sears Tower.
Use integration to find how far the ball would fall in the first six seconds.
a.
546
c.
576
b.
567
d.
612
Mathematics
2 answers:
postnew [5]3 years ago
5 0
The correct answer is B
andre [41]3 years ago
3 0

Answer:

The correct answer is 576

Step-by-step explanation:

Use integration to solve. Correct on edge 2021

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Applying Properties of Exponents In Exercise,use the properties of exponents to simplify the expression.
vitfil [10]

Answer:

(A) e^2

(b) e^{-3}

(c) e^2

(d) e^3

Step-by-step explanation:

We have given expression and we have to simplify the expression using exponent property

(A) (\frac{1}{e})^{-2}

So (\frac{1}{e})^{-2}=\frac{1}{e^{-2}}=e^2

(b) (\frac{e^5}{e^2})^{-1}

So (\frac{e^5}{e^2})^{-1}=(e^{3})^{-1}=e^{-3}

(c) \frac{e^5}{e^3}

So \frac{e^5}{e^3}=e^2

(d) \frac{1}{e^{-3}}=e^3

7 0
3 years ago
Two tanks hold a total of 55 gallons of a toxic solvent. One tank holds 4 gallons more than twice the amount in the other. How m
Serhud [2]

Step-by-step explanation:

If x is the volume of the first tank, and y is the volume of the second tank, then:

x + y = 55

x = 2y + 4

Solve the system of equations using either substitution or elimination.  Using substitution:

2y + 4 + y = 55

3y + 4 = 55

3y = 51

y = 17

Solve for x using either equation.

x + 17 = 55

x = 38

The first tank holds 38 gallons, and the second tank holds 17 gallons.

8 0
3 years ago
Read 2 more answers
Anbody plesssse help me
algol13
11: B
12: C
They are both supplementary angles meaning they add to 180 degrees
5 0
3 years ago
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What conjecture can you make about the sum of the first 22 positive even numbers?
alekssr [168]

Answer:

A.) The sum of the product of the number of terms and the number of terms plus one.

Step-by-step explanation:

So, we have the sum of the first 22 positive even numbers:

S = 2 + 4+ 6 + ... + 44

We know the sum of such sequence is given by the (sum of the first number (2) and the last number (44)) multiplied by the number of terms (11).

S = (2 + 44) * 11 = 46 * 11 = 506

Answer A tells us it should be the sum of the number of terms (22) by the number of terms plus one (22 + 1 = 23).

S = 22 * 23 = 506

That's confirmed.

Answer B would give 22 * 21 = 462, so it's not right

Answer C would give 22 * 2 = 44, obviously not right

Answer D would give 22 * 22 = 484, close but not right.

7 0
3 years ago
Can someone please help me with this problem?
Sophie [7]

Answer:

20

Step-by-step explanation:

4 x 5 = 20

8 0
3 years ago
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