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Work Shown:

Let x = log(y+2)

The given equation becomes

4x = 3x-log(13)

Solving for x leads to

4x-3x = -log(13)

x = -log(13)

Then substituting gets us

log(y+2) = -log(13)

log(y+2) = log(13^(-1)) .... use the rule that A*log(B) = log(B^A)

log(y+2) = log(1/13)

y+2 = 1/13 ................. used the rule if log(A) = log(B), then A = B

y = (1/13) - 2

y = (1/13) - (26/13)

y = (1-26)/13

y = -25/13 .... answer is choice E

For each step, the logs are the same base. The base doesn't matter. It can be base 10 or base 2 or base e. As long as the base stays consistent is all that matters. Also, the base cannot be 1, 0 or a negative number. The base can be any other real number.

Answer:

ima answer it but first how do i show the work

Step-by-step explanation:

Answer:

(-6, 6)

x=-6, y=6

Step-by-step explanation:

The easiest way to solve for this is by substitution. This means substituting y with -5x-24 in the first equation. It gives you the same variables and is easy to work with.

1. Set up your equation: -7x-4(-5x-24)=18

2. Use the distribution property: -7x+20x+96=18

3. Add like terms: 13x+96=18

4. Subtract 96 from both sides: 13x=-78

5. Divide by 13 to get x alone: x=-6

Now that we have x, we can find y much easier by plugging in -6 for x.

1. Set up your equation: -5(-6)-24=y

2. Multiply: 30-24=y

3. Subtract: 6=y

Check your answers!

-7(-6)-4(6)=18

-5(-6)-24=6

There you go! Hope this helped :)

Answer:

The value of [tex]x[/tex] is 16.667.

Step-by-step explanation:

In this exercise, we know that the two triangles described in the figure are similar. If both are similar, the following ratio is constructed:

[tex]\frac{x}{25} = \frac{26}{39}[/tex] (1)

[tex]x = 16.667[/tex]

The value of [tex]x[/tex] is 16.667.

Answer:

the book has 40 pages

Step-by-step explanation:

so he has read 90 percent and has 4 pages left. So 10 percent is 4 pages.

10 times 10 is 100. 4 times 10 is 40. The entire book is 40 pages.

10 percent equals 4 pages

20 percent percent 8 pages

30 percent  is 12 pages

40 percent is 16 pages

50 percent is 20 pages

60 percent is 24 pages

70 percent is 28 pages

80 percent is 32 pages

90 percent is 36 pages

100 percent is 40 pages

Answer:

7a) y = [tex]\frac{1273x}{5}[/tex]

b) this equation means that for every 5 minutes the tram is an additional 1,273 feet above base

c) the first quadrant has 'x' and 'y' values that are positive and only positive values can be used to represent elevation above base and time

Step-by-step explanation:

Answer:

The rate of change is 10%

Step-by-step explanation:

The computation of the rate of change is as follows:

Given that as on Jan 15, the snow pack is 150 inches

And, the last year, it would decrease by 11 inches a week after jan 15

So, the rate of change is

= 15 ÷ 150

= 10%

Answer: A

Step-by-step explanation

bc it seemed legit-

Answer:

A.

Step-by-step explanation:

wish u would have got better grade

Answer:

25 stickers.

Step-by-step explanation:

I hope this helps! Maybe you can mark this brainly? Hope you have a amazing day! <3

Answer:

what is the rest of your question haha

Step-by-step explanation:

Answer:

50% of the applicants will be hired.

Step-by-step explanation:

Given that four people applied for a job as an assistant manager at a store, but only two of these people will be hired, the following calculation must be performed to determine the percentage of people who will enter the job:

4 - 2 = 2

4 = 100

2 = X

2 x 100/4 = X

200/4 = X

50 = X

Thus, 50% of the applicants will enter the job.

Answer:

Tom: 132 Bob: 396 Keisha: 139

Step-by-step explanation:

132 x 3

132 + 7

Answer:

She should offer a guarantee of 13.76 years.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The average life of a certain type of small motor is 10 years with a standard deviation of 2 years.

This means that [tex]\mu = 10, \sigma = 2[/tex]

If she is willing to replace 3% of the motors that fail, how long a guarantee (in years) should she offer?

She should offer the 100 - 3 = 97th percentile as a guarantee, so X when Z has a pvalue of 0.97, that is, X when Z = 1.88.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.88 = \frac{X - 10}{2}[/tex]

[tex]X - 10 = 2*1.88[/tex]

[tex]X = 13.76[/tex]

She should offer a guarantee of 13.76 years.

Answer:

The 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter is between 49.34% and 60.66%, which means that we are 99% sure that the true percentage of US adult Twitter users who get some news is in this interval.

Step-by-step explanation:

Confidence interval:

A confidence interval has the following format:

[tex]M \pm zs[/tex]

In which M is the sample mean, z is related to the confidence level and s is the standard error.

55% of U.S. adult Twitter users get at least some news on Twitter (Pew, 2013). The standard error for this estimate was 2.2%.

This means that [tex]M = 55, s = 2.2[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

Lower bound of the interval:

[tex]M - zs = 55 - 2.575*2.2 = 49.34[/tex]

Upper bound:

[tex]M + zs = 55 + 2.575*2.2 = 60.66[/tex]

The 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter is between 49.34% and 60.66%, which means that we are 99% sure that the true percentage of US adult Twitter users who get some news is in this interval.

Step-by-step explanation:

first you distribute

12x - 8 + 4 +23 +2x

than you add the numbers without the variable so...

-8+4+23= 19

Add the # with variables

12x+2x= 14×

then you get

14x=19

divide by 14 in each side

x=1.4

Should be D on edge. 24e i 5pi/6, Or

649-14-07-00-00_files/i0150005,jpg(image name)

Answer:

A bit of a doosy, but bare with me: f*g*h(x) = [tex]x^2+54x-12x\sqrt{x} -108\sqrt{x} +90[/tex]

Step-by-step explanation:

So explaining this is a bit awkward as well, but I can try...So

Starting from g(x) working that backwards into f(x), so...

g(x) = [tex]x-3[/tex]

f(x) = [tex](x^4+9)[/tex]

Take your g(x) and plug it into your f(x) into every x you see

f(g(x)) = [tex](x-3)^4+9[/tex] ~ I hope you can visualize this, but do you see how g(x) plugs into f(x)...

Now you still have one more step which you still need to include h(x), so

Remember h(x) = [tex]\sqrt{x}[/tex]

Now plug in your h(x) into every x you see from f(g(x)) and it should look like...

[tex](\sqrt{x} -3)^4 + 9[/tex]

Answer:

35

Step-by-step explanation:

Answer:

42.48

Step-by-step explanation:

I don't know how to explain

Answer:

BXZ= 75

AYX=44

B= 61

Step-by-step explanation:

B=180-(75+44)

=61

they are all equal.

Answer:

y=(x+6)^5+3

Step-by-step explanation:

Answer:

Part a) The system of linear inequalities is

y\geq 5y≥5

4x+10y\leq 1004x+10y≤100

Part b) The graph in the attached figure

Part c) A solution could be (5,7) (see the explanation)

Step-by-step explanation:

The complete question is

You are buying plants and soil for your garden. The soil cost 4.00 dollars per bag and the plants cost 10.00 each. You want to buy at least 5 plants and can spend no more than10.00each.Youwanttobuyatleast5plantsandcanspendnomorethan100

a) write a system of linear inequalities to model the situation

b) Graph the system of linear inequalities

c) Identify and interpret a solution to the system

Part a) write a system of linear inequalities to model the situation

Let

x -----> the number of bags of soil

y ----> number of plants

we know that

The word "at least" means "greater than or equal"

y\geq 5y≥5 ----> inequality A

The word "no more" means "less than or equal"

4x+10y\leq 1004x+10y≤100 ----> inequality B

Part b) Graph the system of linear inequalities

we have

y\geq 5y≥5 ----> inequality A

4x+10y\leq 1004x+10y≤100 ----> inequality B

using a graphing tool

the solution is the triangular shaded area

see the attached figure

Part c) Identify and interpret a solution to the system

we know that

If a ordered pair is a solution to the system, then the ordered pair must lie on the shaded area of the solution

i take the point (5,7)

the point (5,7) lie on the shaded area of the solution

so

is a solution of the system

That means ----> You are buying 5 bags of soil and 7 plants for your garden

Verify the solution

Remember

If a ordered pair is a solution to the system, then the ordered pair must satisfy both inequalities

Verify inequality A

7\geq 57≥5  ----> is true

so

The ordered pair (5,7) satisfy inequality A

Verify inequality B

4(5)+10(7)\leq 1004(5)+10(7)≤100

90\leq 10090≤100 ---> is true

so

The ordered pair (5,7) satisfy inequality B

therefore

The ordered pair (5,7) is a solution to the system

Answer:

Area of a circle is  pi * [tex]r^{2}[/tex]

then multiply that by the height

Step-by-step explanation:

diameter = 10

radius is   diameter / 2

r = 10/2 = 5

A = pi * [tex]5^{2}[/tex]

A = 78.5398

height * A = volume

12 * 78.5398 = 942.477

So about 942  , answer 3 looks right  :)   sorry I got to your question late, send me a note , when you have a question, so I'll see  :)

Answer:

20 salads

Step-by-step explanation:

25% = 5

55%+20%=75%

75%=15

15+5=20

Answer:

20 salads

Step-by-step explanation:

25/5 = 5

55/5 = 11

20/5 = 4

5+11+4= 20 salads

Answer:

6

Step-by-step explanation:

1/6 of 36=6

2/3 of 36= 24

24+6=30

36-30=6

Answer:

prism, 6 vertices, 9 edges

Step-by-step explanation:

prism, 6 vertices, 9 edges

prism, 6 vertices, 9 edges

prism, 6 vertices, 9 edges

Answer:

1/7

Step-by-step explanation:

1/3 of 3/7 = 1/3 x 3/7

we can cancel out 3 and 3 because they are multipliers of themselves

so now it is 1/1 x 1/7 = 1/7

Or .

1/3 x 3/7 = 1x3/3x7 = 3/21 = 1/7

Answer:

102°

Step-by-step explanation:

They're still corresponding angles... have you read any of these explanations?...