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slega [8]
3 years ago
11

A construction crew is placing a square in a wall for a new window. The window is 3 1/8 feet wide. The wall has a length of 11 3

/8 feet. The crew wants to position the window at the center of the wall. How far from each edge of the wall should the window be positioned? pls answer *lipbites*
Mathematics
1 answer:
Sedbober [7]3 years ago
3 0

Answer:

The window should be positioned 4 1/8 feet far from each edge of the wall.

Step-by-step explanation:

Since a construction crew is placing a square in a wall for a new window, which is 3 1/8 feet wide, while the wall has a length of 11 3/8 feet, and the crew wants to position the window at the center of the wall, to determine how far from each edge of the wall should the window be positioned, the following calculation must be performed:

1/8 = 0.125

3/8 = 0.375

(11,375 - 3,125) / 2 = X

8.25 / 2 = X

4.125 = X

Therefore, the window should be positioned 4 1/8 feet far from each edge of the wall.

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Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that s
Gwar [14]

Answer:

c=2

Step-by-step explanation:

All polynomials are continuous and differentiable on the set of real numbers.

So we just need to confirm on the given interval that f(1)=f(3).

f(1)=1-12(1)+3(1)^2

f(1)=1-12+3

f(1)=-8

f(3)=1-12(3)+3(3)^2

f(3)=1-36+27

f(3)=-8

So this means there is c in (1,3) such that f'(c)=0.

To solve that equation we must differentiate.

f(x)=1-12x+3x^2

f'(x)=0-12+6x

f'(x)=-12+6x

Remember we need yo solve f'(c)=0 for c.

So we need to solve -12+6c=0.

-12+6c=0

Add 12 on both sides:

6c=12

Divide both sides by 6:

c=2

6 0
4 years ago
Can somebody actually help me?
Svetach [21]
The answer is letter B.
7 0
3 years ago
Read 2 more answers
Bt= 8500 *(8/27)^t/3After a special medicine is introduced into a Petri dish full of bacteria, the number of bacteria remaining
ozzi

Answer:

Every 1.71 seconds, the bacteria loses \frac{1}{2}

Step-by-step explanation:

Given

B(t) = 8500 * (\frac{8}{27})^\frac{t}{3}\\

Required [Missing from the question]

Every __ seconds, the bacteria loses \frac{1}{2}

First, we model the function from t/3 to t.

B(t) = 8500 * (\frac{8}{27})^\frac{t}{3}\\

Apply law of indices

B(t) = 8500 * (\frac{8^\frac{1}{3}}{27^\frac{1}{3}})^t

Evaluate each exponent

B(t) = 8500 * (\frac{2}{3})^t --- This gives the number of bacteria at time t

At time 0, we have:

B(0) = 8500 * (\frac{2}{3})^0

B(0) = 8500 * 1

B(0) = 8500

Let r be the time 1/2 disappears.

When 1/2 disappears, we have:

B(r) = \frac{B(0)}{2}

B(r) = \frac{8500}{2}

B(r) = 4250

So, we have:

B(t) = 8500 * (\frac{2}{3})^t

Substitute r for t

B(r) = 8500 * (\frac{2}{3})^r

Substitute B(r) = 4250

4250 = 8500 * (\frac{2}{3})^r

Divide both sides by 8500

\frac{4250}{8500} =  (\frac{2}{3})^r

\frac{1}{2} =  (\frac{2}{3})^r

Take log of both sides

log(\frac{1}{2}) = log (\frac{2}{3})^r

Apply law of logarithm

log(\frac{1}{2}) = r\ log (\frac{2}{3})

Make r the subject

r = log(\frac{1}{2}) / log (\frac{2}{3})

r = \frac{-0.3010}{-0.1761}

r = 1.71

<em>Hence, it reduces by 1/2 after every 1.71 seconds</em>

6 0
3 years ago
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nlexa [21]

Answer: 15

Step-by-step explanation: Take 12 and change the -3 to a regular 3.

(12 + 3 = 15.)

Whichever number in the question that’s bigger determines what integer it will have.

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3 years ago
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Nesterboy [21]
Each friend will get 1/8
4 0
3 years ago
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