In the figure below, m1= (x+24)° and m2=5x°,
Find the angle measures.
12

Hello there. To solve this question, we have to remember how to graph a function.

First, remember that the logarithm in any base is an injective function (one-to-one).

We have to find its key-features before graphing it.

These key-features includes: x-intercept, y-intercept (if it exists), its vertical asymptote.

Okay. To find the x-intercept, set the function equal to zero:

Adding 1 on both sides, we get

Apply the property:

Hence we have

So the x-intercept happens at x = 3.

To determine whether or not it has an y-intercept, we check if the limit as x goes to zero from both sides exists and are equal:

In this case, this means we cannot evaluate this function at x = 0, so it doesn't have y-intercept(s).

Next, to determine its vertical asymptote, we check the value of x for which the argument goes to zero, that is

Therefore it has a vertical asymptote at x = 0.

The graph is then given by:

This is a sketch of the graph of the function.

The final answer to this question is contained in the last option.

Answer:

It's 38.

Step-by-step explanation:

the sum of three consecutive even integers is 108, the largest number in the sequence would be 38.

I hope this helps you!

Answer:

We can use algebra to solve this problem. Let's call the smallest of the three consecutive even integers x. Since the integers are consecutive and even, the next two integers will be x+2 and x+4.

The problem states that the sum of three consecutive even integers is 108, so we can write an equation:

x + (x+2) + (x+4) = 108

We can simplify this equation by combining like terms:

3x + 6 = 108

3x = 102

x = 34

So, the smallest of the three consecutive even integers is 34.

The next two integers will be x+2 = 34+2 = 36 and x+4 = 34+4 = 38

The largest number of the three consecutive even integers is x+4 = 38.

The factor that is most relevant when evaluating the report is that greater percentage of the respondents where restaurant owners.

A report analysis is the arrangement and grouping of data in such a way as to evaluate the process of a research work or business progress.

For a greater amount of the respondents surveyed to think that people don’t eat out enough. shows that most of them work or owns a restaurant.

Therefore, the factor that is most relevant when evaluating the report is that greater percentage of the respondents where restaurant owners.

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Answer:

a. the sign is interchange

it should be = x^2 - 3x + 4 - x^3 - 7x + 2

Answer:

see explanation

Step-by-step explanation:

(a)

The student has distributed the second parenthesis by 1 instead of - 1

(b)

Given

(x² - 3x + 4) - (x³ + 7x - 2)

distribute the first parenthesis by 1 and the second by - 1, that is

= x² - 3x + 4 - x³ - 7x + 2 ← collect like terms

= - x³ + x² - 10x + 6

Answer:

B. 1 and C. 1/2

Step-by-step explanation:

Confirmed

Answer:

the correct answer is B for the blue graph

Answer: D

Step-by-step explanation:

If my calculations are right, it should be d

Answer:

+7 is the answer for this

Answer:

-3+10=7

opposite of addition is subtraction

so just do 10-3=7

(communative property used)

hopes this helps :D

Step-by-step explanation:

The correct option is Option(c) An observational study where religious affiliation is an independent variable.

Therefore, it is an observational study where religious affiliation is an independent variable.

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The complete question is: "According to a study published in the journal Social Psychological and Personality Science, people with religious affiliations live longer, on average, than those without religious affiliations. The study analyzed more than 1,000 obituaries and accounted for other variables like sex and marital status.

What type of study is this, and what is the explanatory variable?

A. A manipulative experiment where religious affiliation is an independent variable

B. A manipulative experiment where lifespan is an independent variable

C. An observational study where religious affiliation is an independent variable

D. An observational study where lifespan is an independent variable."

Answer:

$7.35

Step-by-step explanation:

15% of 49:

49 * 15 / 100 = 7.35

You can also subtract the 7.35 tip from 49 to get original price = 41.65

Given:

The point (-4,4) on the terminal arm of the angle θ.

Required:

Find exact value of fractional form of sin θ.

Explanation:

Let x = -4

Let y = 4

Let r = the length of a line segment drawn from the origin to the point

Answer:

This is the answer.

Answer:

Hi!

I think your answer will have two forms

Point form: (-2,1)

Equation form: x = -2 and y = 1

I hope this helped you :)

Therefore, the correct option is (a) 2.338.

We know that,\($$s=\sqrt{\frac{SSE}{n-2}}$$We have, $n=342$, $\sum x=3251$, $\sum y=3767.67$, $\sum x^2=33131$, $\sum y^2=45608.17$ and $\sum xy=37621.37$\)Let's calculate the SSE:\($$SSE=\sum y^2-b_1\sum xy-b_0\sum y$$$$n\sum y^2-\sum y\sum y=342*45608.17-(3767.67*3767.67)$$$$=1, 344, 235.6141$$$$b_1=\frac{\sum xy}{\sum x^2}$$$$=\frac{37621.37}{33131}$$$$1.135$$\)

Now, \($$b_0=\frac{\sum y-b_1\sum x}{n}$$$$=\frac{3767.67-(1.135)(\frac{3251}{342})}{342}$$$$=-0.8719$$\)

Therefore, the SSE is:\($$SSE=1, 344, 235.6141-(1.135)(37621.37)-(-0.8719)(3767.67)$$$$=86.4269$$\)

Thus, we can now find s:\($$s=\sqrt{\frac{86.4269}{342-2}}$$$$s=0.3384$$\)

Therefore, the correct option is (a) 2.338.

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Answer:

70

Step-by-step explanation:

Answer:

Step 1

Step-by-step explanation:

Correct solution step-by-step:

1. 5(x + 2) = 6x + 12

2. 5x + 10 = 6x + 12

3. 5x - 6x = 12 - 10

4. -x = 2

5. x = -2

The mean of the given set of group numbers is 6.6

Given,

In the question:

The Group of numbers are as follows:

6.1, 5.9, 4.2, 5.9 and 10.7

To find the mean of the given set of group of numbers.

Now, According to the question:

Given is the following data:

6.1, 5.9, 4.2, 5.9 and 10.7

We can find the mean of the given set of data using the formula-

Mean (M) = Σ a[i]/n = (Sum of all the elements)/(total number of elements)

Now, n = 5

and Σ a[i] = 6.1 + 5.9 + 4.2+ 5.9 + 10.7 = 32.8

Putting the values in the formula, we get:

M = 32.8/5 = 6.56 = 6.6

Hence, The mean of the given set of group numbers is 6.6

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The value of the function (f/g)(x) is (x+5)/(3x+5) if f(x) = 3x² + 10x - 25

g(x) = 9x²-25.

The earliest known attempt to the concept of function may be traced back to the works of Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. The concept of a function was codified in terms of set theory at the end of the nineteenth century, which substantially expanded its realms of applicability.

Given,

f(x) = 3x² + 10x - 25

g(x) = 9x² - 25

To find (f/g)(x) divide f(x) by g(x)

(f/g)(x)=(3x²+ 10x-25)/(9x²-25)

We have to factorize both the numerator and denominator

For the numerator

3x²+10x-25

3x²+15x-5x-25

3x(x+5)-5(x +5)

(3x-5 )(x+5)

For the denominator

9x² - 25

(3x)² - 5²

We have to use the formula,

a²- b² = (a+b)(a-b)

(3x)²-5² = (3x+5)(3x-5)

Therefore,

(f/g)(x)=(3x-5)(x+5)/(3x+5)(3x-5)

By simplifying we get,

(f/g)(x)=(x+5)/(3x+5)

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Answer:

100%

Step-by-step explanation:

they all had allergic reactions

The 95% confidence interval for the mean weight per apple is calculated and the p value foe that particular interval is 0.1447

There is not sufficient evidence to reject the company's claim.

Z Test of Hypothesis for the Mean

Data

Null Hypothesis m =120

Level of Significance 0.05

Population Standard Deviation 12

Sample Size 49

Sample Mean 122.5

Intermediate Calculations

Standard Error of the Mean 1.7143

Z Test Statistic 1.4583

Two-Tail Test  

Lower Critical Value -1.9600

Upper Critical Value 1.9600

p-Value 0.1447

Do not reject the null hypothesis

Hence, the p value foe that particular interval is 0.1447

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Answer:

area = 385 cm²

Step-by-step explanation:

area = 5cm * 77cm

area = 385 cm²

Answer:

I don't recognize this problem, please make sure the input is complete.

Is this 3 different problems or 1 big problem?

Step-by-step explanation:

\(a_n\) is the n-th term in some sequence following the given rule.

Then \(a_{27}\) is the 27th term in the sequence, and

\(a_{27} = -23 + 20\times27 = \boxed{517}\)

Answer:

117yd^2

Step-by-step explanation:

First find area of rectangle = length times width = 63(7*9)

Then find area of triangle = 1/2 length times width = 54(1/2*12*9)

The 12 is from 19 minus 7

Answer:

10 envelopes

Step-by-step explanation:

What we know:

- There are 3 drawings for each envelope

- There are 28 drawings in total

To find out the number of envelopes Declan would need, we divide 28 by 3 (check the picture attached).

28÷3=9 R1

28 divided by 3 gives us 9 with a remainder of 1, which means if Declan had 9 envelopes, he would be able to fit 3 drawings in each with 1 drawing left over. He would need a 10th envelope to use for the last drawing.

Therefore, Declan would need 10 envelopes to mail all the drawings to his grandma.

I hope this helps! Happy holidays :)

Answer:

the value of f(-5) would equal to -4 as the equation turns into 1/3 (-5 - 7) which allows you to multiply it out.

Answer:

about 22 chocolate pieces

Step-by-step explanation:

total candy - peppermints = chocolate

5/5 - 2/5 = 3/5 chocolates

x/36 = 3/5

cross multiply

x × 5 = 36 × 3

5x = 108

divide both sides by 5

x = 21.6

The answer is 18.

i hope this will work

The 15,25 feet width of the sheet metal gives a drain that has a maximum cross-sectional area of approximately, 29.07 square feet. The width of the drain that has the maximum cross sectional area is 7.625 feet, and the depth of the drain is 3.8125 feet.

The dimensions of an open drain include the width and the depth of the drain.

The width of the sheet metal = 15.25 feet

Let x represent the depth of the drain. The width, w, of the drain is found from x as follows; w = 15.25 - 2·x

Area of a rectangle = Width × Height (or depth)

The area of the rectangular drain is therefore; A = w × x

Which gives; A = x × (15.25 - 2·x) = 15.25·x - 2·x²

Given that the coefficient of x² is negative, the maximum volume is given by the point at which the rate of change of the the area is zero as follows;

\(At \ the \ maximum \ volume, \ \dfrac{dA}{dx} = 0 = \dfrac{d}{dx} \left(15.25\cdot x - 2\cdot x^2\right) = 15.25 - 4\cdot x\)

At the point where the volume is maximum, we have;

\(x = \dfrac{15.25}{4} = 3.8125\)

The depth of the drainage that gives the maximum volume is x = 3.8125 feet

w = 15.25 - 2·x

Therefore;

w = 15.25 - 2×3.8125 = 7.625

The width of the drainage is, w = 7.625 feet

\(A_{max}\) = 15.25×3.8125 - 2×3.8125² ≈ 29.07

The area of the drain that gives the maximum area is, \(A_{max}\) = 29.07 ft²

The description of the drain that has the maximum cross sectional area are as follows;

Width; 7.625 feet

Depth; 3.8125 feet

Area; Approximately 29.07 ft.²

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The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.

To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.

The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.

By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.

Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.

Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.

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