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Darina [25.2K]
3 years ago
13

Solve the exponential equation use a calculator to obtain a decimal approximation correct to two decimal place for the solution.

Mathematics
1 answer:
svetlana [45]3 years ago
3 0
6^(8x) = 4
log 6^(8x) = log 4
8x log 6 = log 4
x = log 4 / 8log 6 = 0.10 to two decimal places.
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a rectangular lawn has an area of a^3 - 125. use the difference of cubes to find out the dimensions of the rectangle.
ANEK [815]

The area of a rectangle is the product of its dimensions

The dimensions of the rectangle are: \mathbf{Length = a -5} and \mathbf{Width = a^2 + 5a + 25}

The area is given as:

\mathbf{Area = a^3 - 125}

Express 125 as 5^3

\mathbf{Area = a^3 - 5^3}

Apply difference of cubes

\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}

\mathbf{Area = (a - 5)(a^2 + 5a + 25)}

The area of a rectangle is:

\mathbf{Area = Length \times Width}

So, by comparison:

\mathbf{Length = a -5}

\mathbf{Width = a^2 + 5a + 25}

Read more about areas at:

brainly.com/question/3518080

6 0
2 years ago
Please thanks please please thanks
monitta

Answer:

72 hope this helps you!?!?!!?

7 0
3 years ago
Ryan bought a brand new car for $18,000. Its value depreciated at a rate of 1.2%.
kirza4 [7]

Answer:

A(t)= 18000(0.988)^t

Step-by-step explanation:

Given data

Ryan bought a brand new car for $18,000

Its value depreciated at a rate of 1.2%

Let us use the compound expression

A= P(1-r)^t

substitute

A= 18000(1-0.012)^t

A(t)= 18000(0.988)^t

Hence the expression is A(t)= 18000(0.988)^t

6 0
3 years ago
Consider the quadratic function f(x)= 2(x + 4)² − 6. What is the vertex of the parabola? *
Masja [62]

Answer:

vertex is (-4,-6)

Step-by-step explanation:

put x+4=0

x=-4

when x=-4

f(x)=-6

4 0
3 years ago
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ASHA 777 [7]

Answer:

6

Step-by-step explanation:

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3 years ago
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