how do i solve for x

Given:

The equation is

[tex]\log_3625=x[/tex]

To find:

The value of x.

Solution:

We have,

[tex]\log_3625=x[/tex]

It can be written as

[tex]\log_3(5)^4=x[/tex]

[tex]4\log_3(5)=x[/tex]              [tex][\because \log x^n=n\log x][/tex]

[tex]4\dfrac{\log (5)}{\log (3)}=x[/tex]               [tex][\because \log_ab=\dfrac{\log_xb}{\log_xa}][/tex]

[tex]4\times \dfrac{0.69897}{0.47712}=x[/tex]

[tex]x\approx 5.8599[/tex]

Therefore, the value of x is about 5.8599.

Answer:

G. 12

Step-by-step explanation:

5/10=(x+5)/(3x+3)

1/2=(x+5)/(3x+3)

Cross multiply

3x+3=2x+10

x=7

AC=x+5=12

Answer:

[tex](\frac{4\sigma}{2.056})^2[/tex], rounded up, if needed, citizens should be included in the sample, in which [tex]\sigma[/tex] is the standard deviation of the population.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.056.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Within 4 years of the actual mean

We have to find n for which M = 4. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]4 = 2.056\frac{\sigma}{\sqrt{n}}[/tex]

[tex]2.056\sqrt{n} = 4\sigma[/tex]

[tex]\sqrt{n} = \frac{4\sigma}{2.056}[/tex]

[tex](\sqrt{n})^2 = (\frac{4\sigma}{2.056})^2[/tex]

[tex]n = (\frac{4\sigma}{2.056})^2[/tex]

[tex](\frac{4\sigma}{2.056})^2[/tex], rounded up, if needed, citizens should be included in the sample, in which [tex]\sigma[/tex] is the standard deviation of the population.

Answer:

6 benches are needed

Step-by-step explanation:

3/4= 6/8

1/8 goes into 6/8, 6 times so,

6 benches are needed on the 3/4 mile trail

Answer:

750?

Step-by-step explanation:

there is groups of 40 so we take 1000/40 now we have 25 take 25x10 and we will and up with 250 minus 1000 - 250 and we have 750

Answer:

His daughter received $ 1,271,760.

Step-by-step explanation:

Given that a man had $ 10,072,540 with him, and he gave $ 4,836,080 to his wife, $ 3,964,790 to his son and the rest to his daughter, to determine how much money was received by the daughter, the following calculation must be performed:

10,072,540 - 4,836,080 - 3,964,790 = X

5,236,460 - 3,964,790 = X

1,271,670 = X

Thus, his daughter received $ 1,271,760.

Answer:

A. Sine Y = 20 / 29

B. Cos Y = 21 / 29

C. Tan Y = 20 / 21

D. Sine Z = 21 / 29

E. Cos Z = 20 / 29

F. Tan Z = 21 / 20

Step-by-step explanation:

A. Determination of Sine Y

Opposite = 20

Hypothenus = 29

Sine Y =?

Sine Y = Opposite / Hypothenus

Sine Y = 20 / 29

B. Determination of Cos Y

Adjacent = 21

Hypothenus = 29

Cos Y =?

Cos Y = Adjacent / Hypothenus

Cos Y = 21 / 29

C. Determination of Tan Y

Opposite = 20

Adjacent = 21

Tan Y =?

Tan Y = Opposite / Adjacent

Tan Y = 20 / 21

D. Determination of Sine Z

Opposite = 21

Hypothenus = 29

Sine Z =?

Sine Z = Opposite / Hypothenus

Sine Z = 21 / 29

E. Determination of Cos Z

Adjacent = 20

Hypothenus = 29

Cos Z =?

Cos Z = Adjacent / Hypothenus

Cos Z = 20 / 29

Determination of Tan Z

Opposite = 21

Adjacent = 20

Tan Z =?

Tan Z = Opposite / Adjacent

Tan Z = 21 / 20

Answer:

1/2

Step-by-step explanation:

2*3=6

6/12=1/2

Answer:

[tex]\frac{1}{2}[/tex]--> 1/2

Step-by-step explanation:

3x2=6. half of 12 is 6 and so you would make it 6/12 or aka 1/2

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

You can think of it like adding two regular numbers, but you have to keep the y so:

-5y + 2y = -3y

Answer:

The average of these numbers will rise to 16.

Step-by-step explanation:

Given that the average of 5 consecutive number is 15, to determine what would be the effect on the average if the next two numbers were also included, the following logical reasoning must be performed:

13 + 14 + 15 + 16 + 17 = 75/5 = 15

Thus, if the numbers 18 and 19 are added, and then this result is divided by 7, the following average is obtained:

(75 + 18 + 19) / 7 = X

112/7 = X

16 = X

Thus, the average of these numbers will rise to 16.

Answer:

Im pretty sure its 7.5 litres i might be wrong still.

Answer:

7,500 cm

Step-by-step explanation:

It would be 7,500 cm because if you do 50 X 10 you get 500 because the volume formula is L X W X H then you would multiply 500 times 15 and you get 7,500 cm.

Answer:

The 99% confidence interval for the true mean number of Banana Bombs in 10.40 ounce packages is between 689.3 and 703.86.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{12.33}{\sqrt{19}} = 7.28[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 696.58 - 7.28 = 689.3 pieces

The upper end of the interval is the sample mean added to M. So it is 696.58 + 7.28 = 703.86 pieces

The 99% confidence interval for the true mean number of Banana Bombs in 10.40 ounce packages is between 689.3 and 703.86.

Answer:

1420

Step-by-step explanation:

delta math

The required length of n is 1419.5 cm which is determined by the Law of Cosines.

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.

In triangle ΔLMN,

l = 810 cm, m = 620 cm and ∠N=166°.

We have to determine the length of n

The Law of Cosines as it relates all three sides of a triangle with an angle of a triangle.

n² = l² + m² − 2lm cos(N)

Substitute the values in the above formula and solve for n

n² = 810² + 620² − 2 × 810 × 620 × cos(166°)

n² = 810² + 620² − 104400 × cos(166°)

n = ±1419.5

n = 1419.5, and n = - 1419.5

Neglected the value of n = - 1419.5 because length should not be negative.

n = 1419.5 cm

Learn more about the triangles here:

https://brainly.com/question/17997149

#SPJ2

Answer:

22

Step-by-step explanation:

22.5 is more accurate

Answer:

0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507

Step-by-step explanation:

The probability of drawing each chip is the same, which means that the uniform distribution is used to solve this question.

Uniform distribution:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distribution has two bounds, a and b, and the probability of finding a value lower than x is given by:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

There are 797 identical plastic chips numbered 1 through 797 in a box.

This means that [tex]a = 1, b = 797[/tex]

What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507?

[tex]P(X < 507) = \frac{507 - 1}{797 - 1} = 0.6357[/tex]

0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

n + 9 = 14

=> n + 9 - 9 = 14 - 9. [For isolating the variable we subtract 9 from both sides]

=> n = 5 (Ans) [ Variable isolated]

Answer:

x intercept =(-5/3,0)

y intercept = (0,5)

Step-by-step explanation:

FOR THE X INTERCEPT:

-plug 0 in for the y value because the y value is 0 at the x intercept.

     * 3x-0=-5 ---> 3x=-5 -----> x=-5/3 while y = 0

FOR THE Y INTERCEPT

-do the same thing as the x intercept, but instead of making y 0, make x 0.

     * 3(0) -y=-5 ----> 0-y=-5 -----> -y=-5 ------->y=5 while x=0

Answer:

3x + 5 = 12 - 7x

⇒ 3x = 12 - 5 - 7x

⇒ 3x = 7 - 7x

⇒ 3x + 7x = 7

⇒ 10x = 7

⇒ x= 7 ÷ 10

⇒ x = 0.7

I don't see a figure, but to find area use the formula:

A= W x H

(W= width H= height)

Answer:

yes

Step-by-step explanation:

If you post a question I will help anyone.

Answer:

I would love to help anyone and I wouldn't judge the person's age. You can ask me any math question and I will have an answer for you

Step-by-step explanation:

16 feet is equal to 192 inches.

Hope it helps :)❤

Answer:

192 inches is equal to 16 feet.

(Hope this helps! Btw, I answered first. Brainliest please! :D)

Step-by-step explanation:

let the no be x and y

x+y=15

y=15-x.......eqn i)

x-y=3..........eqn ii)

putting value of y from eqn i ) to eqn ii)

x-y=3

x-(15-x)=3

x-15+x=3

2x-15=3

2x=18

x=9

no,putting value of x in eqn i)

y=15-x

y=15-9

y= 6

So,the value of x is 9 and y is 6