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4 years ago

Simplify the exponential expression.

Mathematics

2 answers:

Rama09 [41]4 years ago

8 0

Answer:

The answer is 125

Step-by-step explanation:

MrRa [10]4 years ago

7 0

Answer:

125

Step-by-step explanation:

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What is the area of the trapezoid?

Karolina [17]

Answer:

81cm

Step-by-step explanation:

The answer is 81cm as 5+2+2(the base) = 9 and 9×9 = 81 which is the area

5 0

3 years ago

In an over-fished area, the catch of a certain fish is decreasing exponentially.? Use k=0.084 to determine how long will it take

kvv77 [185]

The answer is 8.25 years

The exponential function can be expressed as:
A = P * e^(kt)
A - the final amount
P - the current amount
k - the rate
t - time in years

If the final amount is the half of its current amount, then:
A = P/2

So,
A = P * e^(kt)
P/2 = P * e^(kt)

Divide P from both sides:
1/2 = e^(kt)

Logarithm both sides with natural logarithm:
ln(1/2) = ln(e^(kt))
ln(0.5) = kt * ln(e)

k = -0.084
-0.693 = -0.084 * t * 1
-0.693 = -0.084t
t = -0.693 / -0.084
t = 8.25 years

5 0

3 years ago

EXTRA POINTS John owns a hardware store. He has at most $1,000 to spend on restocking his pipes. Steel pipes cost $100, and plas

Strike441 [17]

Answer:

Steels is equal to x and plastic pipes is equal to y

5x + 50y = $1000

6x + 40y = $100

3 0

3 years ago

Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)? f(x) = 6x – 1 f(x) = 8x – 6 f(x) =

Minchanka [31]

The answer to the question is f(x)= 4x - 10

3 0

3 years ago

Read 2 more answers

I attached the math problem below and I hope u guys help me. Thxs to who's gonna answer!

vova2212 [387]

Answer:

Numbers | least to greatest | opposites | opposites least to greatest

1/4, -1/2 | -1/2, 1/4 | -1/4, 1/2 | -1/4, 1/2

2, -10 | -10, 2 | -2, 10 | -2, 10

0, 3 1/2 | 0, 3 1/2 | 0, -3 1/2 | -3 1/2, 0

-5, -5.6 | -5.6, -5 | 5, 5.6 | 5, 5.6

24 1/2, 24 | 24, 24 1/2 | -24 1/2 -24 | -24 1/2 -24

-99.9, -100 | -100, -99.9 | 99.9, 100 | 99.9, 100

-0.05, -0.5 | -0.5, -0.05 | 0.5, 0.05 | 0.05, 0.5

-0.7, 0 | -0.7, 0 | 0.7, 0 | 0, 0.7

100.02, 100.04 | 100.02, 100.04 | -100.02, -100.04 | -100.04, -100.02

Hope this helps you!!!!

8 0

3 years ago