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3 years ago

Rewrite the expression with the given base.

Mathematics

2 answers:

ASHA 777 [7]3 years ago

8 0

The expression given to us is: 64^2x and we have to rewrite it with a base of 8 .

We know that 64 can be written in terms of 8 as the squared of 8 as: $64=8^2$ .

Thus, the expression, $64^{2x}$ can be rewritten as:

$64^{2x}=(8^2)^{2x}$

Now, using the rules of exponents we get:

$(8^2)^{2x}=8^{2\times 2x}=8^{4x}$

$\therefore 64^{2x}=8^{4x}$

Thus, out of the given options, option C is the correct option.

satela [25.4K]3 years ago

3 0

C. 8^4x
64^2x = 4096x
8^4x= 4096x

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A company interested in lumbering rights for a certain tract of slash pine trees is told that the mean diameter of these trees i

brilliants [131]

Answer:

97.6% of the trees will have diameters between 7.6 and 18.6 inches.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12 inches

Standard Deviation, σ = 2.2 inches

We are given that the distribution of diameter of tree is a mound shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(diameters between 7.6 and 18.6 inches)

$P(7.6 \leq x \leq 18.6) = P(\displaystyle\frac{7.6 - 12}{2.2} \leq z \leq \displaystyle\frac{18.6-12}{2.2}) = P(-2 \leq z \leq 3)\\\\= P(z \leq 3) - P(z < -2)\\= 0.999 - 0.023 = 0.976= 97.6\%$

$P(7.6 \leq x \leq 18.6) = 97.6\%$

97.6% of the trees will have diameters between 7.6 and 18.6 inches.

8 0

3 years ago

To ___ is to use place value to exchange equal amounts when renaming a number.

Vanyuwa [196]

To regroup is to use place value to exchange equal amount when renaming a number.

6 0

3 years ago

Read 2 more answers

If it takes 5 years for an animal population to double, how many years will it take until the population

muminat

9514 1404 393

Answer:

7.92 years

Step-by-step explanation:

We want to find t such that ...

3 = 2^(t/5)

where 2^(t/5) is the annual multiplier when doubling time is 5 years.

Taking logs, we have ...

log(3) = (t/5)log(2)

t = 5·log(3)/log(2) ≈ 7.92 . . . years

It will take about 7.92 years for the population to triple.

6 0

3 years ago

Multiply polynomials

Burka [1]

Answer -2x^4 - 2x^3 + 22x^2 - 30x + 12

Here's your solution

=> (2x^2 - 4x + 2) - (x^2 + 3x - 6)

=> (2x^2 - 4x + 2) -x^2 - 3x + 6

=> firstly multiple whole with -x^2

=> -x^2(2x^2 - 4x + 2) = -2x^4 + 4x^3 - 2x^2

=> now with -3x

=> -3x(2x^2 - 4x + 2) = -6x^3 +12x^2 -6x

=> with 6

=> 6(2x^2 - 4x + 2) = 12x^2 - 24x + 12

=> now add all terms

=> -2x^4 - 2x^3 + 22x^2 - 30x + 12

hope it helps and your day will be full of happiness ^_^

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3 years ago

Tell me what the slope and y intercept means to you

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In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis)

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3 years ago