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3 years ago

For what value of x does 64^3x = 512^2x+12

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

3 0

Answer:

<h2>no solution</h2>

Step-by-step explanation:

$Use:\\\\(a^n)^m=a^{nm}\\--------------\\64=2^6\\512=2^9\\\\\text{therefore}\\\\64^{3x}=512^{2x+12}\\\\(2^6)^{3x}=(2^9)^{2x+12}\\\\2^{(6)(3x)}=2^{(9)(2x+12)}\iff6(3x)=9(2x+12)\\\\18x=9(2x+12)\qquad\text{divide both sides by 9}\\\\\dfrac{18x}{9}=\dfrac{9(2x+12)}{9}\\\\2x=2x+12\qquad\text{subtract 2x from both sides}\\2x-2x=2x-2x+12\\\\0=12\qquad\bold{FALSE}$

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The distance d of a particle moving in a straight line is given by d(t) = 2t^3 + 5t – 2, where t is given in seconds and d is me

Amanda [17]

Answer: 299 m/s

Step-by-step explanation:

The first step is to take the first derivative of the equation given. This will give us the equation for velocity which we will then substitute the 7 in for t.

To derive the equation you multiply the coefficient by the power of the variable, then subtract one from the variable.

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Now input 7 in for t to find the velocity.

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3 years ago

Bernice bought 3/1/2 pound of apples and 5/2/3 pounds of oranges and 11/12 pounds of bananas what was the total weight of fruit

torisob [31]

10 1/12

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3 years ago

Read 2 more answers

It is generally claimed that the average body temperature for healthy human adults is 98.6°F. To test this claim a simple random

Rzqust [24]

Answer:

Explained below.

Step-by-step explanation:

The information provided is as follows:

$\mu=98.6^{o}F\\\bar x=98.1^{o}F\\s=0.9^{o}F\\n=9$

(1)

A single mean test is to be performed in this case.

As the population standard deviation is not provided, a one-sample t-test will be used.

The correct option is b.

(2)

The null hypothesis is:

H₀: The average temperature in the population is 98.6°F, i.e. μ = 98.6°F.

The correct option is b.

(3)

The alternative hypothesis is:

Hₐ: The average temperature in the population is less than 98.6°F, i.e. μ < 98.6°F.

The correct option is c.

(4)

The standard deviation of the sample mean is as follows:

$SD_{\bar x}=\frac{s}{\sqrt{n}}=\frac{0.9}{\sqrt{9}}=0.3^{o}F$

Thus, the value of SD is 0.3°F.

(5)

Compute the value of test statistic as follows:

$t=\frac{\bar x-\mu}{SD_{\bar x}}$

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Thus, the value of test statistic is -1.67.

(6)

The degrees of freedom of the test are:

df = n - 1

= 9 - 1

= 8

Thus, the degrees of freedom of the test is 8.

8 0

3 years ago

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Lady bird [3.3K]

Answer:

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Step-by-step explanation:

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Alternatively, you could add up the total amount of contestants from the three days. You should end up with 1000. Then add up the total amount of winners from the three days. You should get 120. Divide both of these by 4. The winners will now be 40, and the total contestants will be 250. Now multiply both by 3. The amount of contestants will be 750, and the amount of winners will be 90. This way is a bit easier, but does not always work. Do what is best for you!

Hope this helped!

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3 years ago

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Aleonysh [2.5K]

Answer:

Below in bold.

Step-by-step explanation:

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In standard form this is:

2x + 5y = -25.

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2 years ago