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3 years ago

Solve 3^(x + 6) = 34.

Mathematics

2 answers:

Minchanka [31]3 years ago

8 0

Answer:

x=−2.790168

Step-by-step explanation:

Solve Exponent.

3^(x+6)=34

log(3x+6)=log(34) (Take log of both sides)

(x+6)*(log(3))=log(34)

x+6=

log(34)

log(3)

x+6=3.209832

x+6−6=3.209832−6 (Subtract 6 from both sides)

x=−2.790168

Mrac [35]3 years ago

3 0

Answer:

3x + 6= 34

6-6. 34-6= 28

3x=28

3/3 28/3=

x= 9.3333, or rounded up 10

good luck! :)

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3 years ago

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There are 12 inches in 1 foot. Jada is working on improving her vertical jump. She records,

guajiro [1.7K]

Answer:

There are 72 inches in 6 feet.

Step-by-step explanation:

Given:

There are 12 inches in 1 foot.

Jada is working on improving her vertical jump.

Currently, her standing reach is 6 feet from the ground.

Now, to find the inches in 6 feet.

Let the inches in 6 feet be $x.$

As given:

In 1 foot there are 12 inches.

So, 1 foot is equivalent to 12 inches.

Thus, 6 feet is equivalent to $x$

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4 years ago

Suppose you want to decrease your margin of error by a factor of 3. by what factor, do you need to increase your sample size? in

elena55 [62]

The sample size, n required to produce a margin of error, M, in a probability proportion distribution is given by:

$n= \frac{p(1-p)z_{\alpha/2}^2}{M^2}$

The above formular shows that the sample size is inversely proportional to the Margin of error.

Then we have:

$n= \frac{k}{M^2}$

where k is some constant.

Now suppose we decrease M by a factor of 3,

$\left(i.e.\ \frac{M_1}{M_2} =3\right)$

$n_1= \frac{k}{M_1^2} \\ \\ n_2= \frac{k}{M_2^2} \\ \\ \frac{n_2}{n_1} = \frac{k}{M_2^2} / \frac{k}{M_1^2} = \frac{k}{M_2^2} \times \frac{M_1^2}{k} = \frac{M_1^2}{M^2_2} =\left( \frac{M_1}{M_2} \right)^2=3^2=9 \\ \\ n_2=9n_1$

Therefore, if we decrease the Margin of error by a factor of 3, we need to increase the sample size by a factor of 9.

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4 years ago