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lora16 [44]
2 years ago
6

Ed's Electric is installing the wiring in 8 new condos. It takes 2 3/4 feet of wire to install a circuit breaker box. How many f

eet are required to install 4 boxes?
feet
Mathematics
1 answer:
dimaraw [331]2 years ago
3 0

Answer:

11

Step-by-step explanation:

You would multiply 2 3/4 or 2.75 by 4to get the answer. Which is 11

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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
Choose the expression that is equivalent to -4 - (-9).
andrew-mc [135]

Answer:

d

Step-by-step explanation:

5 0
3 years ago
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What is 3 divided by 6 Keep change flip?
marin [14]

Step-by-step explanation:

Multiply by the reciprocal, also sometimes referred to as "Keep, Change, Flip." Here is how it works. You rewrite the division question as a multiplication question by flipping the second fraction over. Next, keep the first number, change the division to multiplication and then flip the second fraction over.

7 0
3 years ago
PLEASE HELP me ! I NEED HELP
mezya [45]

Answer:

Step-by-step explanation:

Let x = the number of 50-cent increases in the cost of a book rental.

Right now he is renting 38 books per day at $3 per rental. If he raises his price he will lose 4 rentals per increase. The money part of this is:

$3 + .5x = the price per book rental after the increase. That's how much money he will make. The money made is NOT the same thing as the number of rentals. Therefore, they are put into separate expressions.

The number of rentals is:

38 - 4x. This is the number of books he is currently renting minus the number of book rentals he will lose per price increase. Putting those 2 expressions together and multiplying them will give you the end result of this increase in price.

(3 + .5x)(38 - 4x) = 114 - 12x + 19x - 2x², or putting it in descending powers of x and combining like terms:

-2x² + 7x + 114

7 0
4 years ago
Brita withdrew $225 from her bank account.After her withdrawal,there was $548 left in brita's account. How much money did Brita
Alekssandra [29.7K]
$323 dollars just minus them and then you have your answer .
6 0
3 years ago
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