What are two different ways of factoring -2x - 4? Select all that apply.

A negative exponent means that you should take the reciprocal of the base and use the positive exponent:
5^(-4) = 1 / 5^4.So, the answer is: C. 1 / 5^4

To solve this problem, use the properties of exponents. Specifically, when multiplying numbers with the same base, you add the exponents. In this case, the base is 5, and the exponents are 3 and -7.

5^3 × 5^(-7) = 5^(3 + (-7))

Now, add the exponents:

3 + (-7) = -4

So, the expression becomes:

5^(-4)

A negative exponent means that you should take the reciprocal of the base and use the positive exponent:

5^(-4) = 1 / 5^4

So, the answer is:

C. 1 / 5^4.

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Answer:

The width is 5 because if you multiply 16 by 8 by 5 you will get 640 cubed.

Answer:

1.26 is the single decimal multiplier

Step-by-step explanation:

Answer:

Answer: 1.26 is the single decimal multiplier.

Step-by-step explanation:

To test a claim and establish hypotheses, we need to identify the parameter of interest, which can be either the population mean or the population proportion.

The null hypothesis (H₀) represents the status quo or the claim to be tested, while the alternative hypothesis (H₁) represents the claim we are trying to gather evidence for. For a claim about a population mean, we use the following notation:

Null Hypothesis (H₀): μ = μ₀

Alternative Hypothesis (H₁): μ ≠ μ₀ or μ > μ₀ or μ < μ₀

In these hypotheses, μ represents the population mean, and μ₀ is the hypothesized value or claim we are testing against. The alternative hypothesis can take one of three forms: a two-tailed test (μ ≠ μ₀), indicating that the population mean is different from the hypothesized value; a right-tailed test (μ > μ₀), suggesting the population mean is greater than the hypothesized value; or a left-tailed test (μ < μ₀), indicating the population mean is less than the hypothesized value.

For a claim about a population proportion, we use the following notation:

Null Hypothesis (H₀): p = p₀

Alternative Hypothesis (H₁): p ≠ p₀ or p > p₀ or p < p₀

Here, p represents the population proportion, and p₀ is the hypothesized value or claim we are testing against. The alternative hypothesis can also take one of three forms: a two-tailed test (p ≠ p₀), indicating that the population proportion is different from the hypothesized value; a right-tailed test (p > p₀), suggesting the population proportion is greater than the hypothesized value; or a left-tailed test (p < p₀), indicating the population proportion is less than the hypothesized value.

By formulating these null and alternative hypotheses, we can perform statistical tests and analyze the data to determine if there is evidence to support the alternative claim or if the null hypothesis should be retained.

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Answer:

C, move (translate) 5 units left

Step-by-step explanation:

Sliding or moving is called translating, and MATH is to the right of M'A'T'H' (prime), so translate 5 units left.

Answer:

20

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

Have a great day :D

The correct statements are:

B. Point A is farther away from point B than point C is.

D. The distance between points A and B is 5 units.

Let's analyze the given statements about points A(-3,3), B(2,3), and C(2,-1):

A. The distance between points A and B is 4 units.

This statement is incorrect. The distance between points A and B can be calculated using the distance formula: \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).

Distance AB = \(\sqrt{(2 - (-3))^2 + (3 - 3)^2} = \sqrt{5^2 + 0^2} = \sqrt{25}\)  = 5 units. Therefore, the distance between points A and B is 5 units, not 4 units.

B. Point A is farther away from point B than point C is.

This statement is correct. By comparing the distances between A and B and A and C, we see that the distance between A and B is 5 units, while the distance between A and C is \(\sqrt{(-3 - 2)^2 + (3 - (-1))^2} = \sqrt{25 + 16} = \sqrt{41}\), which is greater than 5 units. Thus, point A is farther away from point B than point C is.

C. Point A and point C are the same distance from point B.

This statement is incorrect. As calculated earlier, the distance between A and B is 5 units, while the distance between C and B is \(\sqrt{(2 - 2)^2 + (-1 - 3)^2} = \sqrt{0^2 + 16}= \sqrt{16}\) = 4 units. Hence, point A and point C are not the same distance from point B.

D. The distance between points A and B is 5 units.

This statement is correct, as determined in statement A.

E. Point A is the same distance from the y-axis as point C is.

This statement is incorrect. The distance between A and the y-axis can be calculated as the absolute value of the x-coordinate of point A: |x-coordinate of A| = |-3| = 3 units. On the other hand, the distance between C and the y-axis is the absolute value of the x-coordinate of point C: |x-coordinate of C| = |2| = 2 units. Hence, point A is not the same distance from the y-axis as point C.

Therefore, the correct statements are:

B. Point A is farther away from point B than point C is.

D. The distance between points A and B is 5 units.

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Answer:

2

Step-by-step explanation:

0.2(x+50)-6=0.4(3x+20) multiply both sides by 10 to clear the decimals

2(x + 50) = 4(3x + 20) distribute across the terms in the parentheses

2x + 100 = 12x + 80 subtract 80, 2x from both sides

20 = 10x divide both sides by 10

x=2

Yes, this sample of the trees in the county likely to be representative if each forest is the same size.

Representative sample, the sample must accurately reflect the population studied in demographics and characteristics of the chosen subjects.

For example, a representative sample will reflect only those within the study population and should not extend to those outside the study. If Jose is interested in studying the exercise habits of college athletes, only the population of college athletes should be considered for the selection of a representative sample. Jose will not choose athletes from high school or career athletes as part of his representative sample.

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Gregs's mom baked 24 cookies, while Vinnie's mom baked 36 cookies. Brad's mom baked twice as much as Greg's mom, resulting in a total of 48 cookies. The total number of cookies that were baked is found by adding the number of cookies that each mom baked:

24 + 36 + 48 = 108.

The cookies can be divided into 3 groups of 36, 4 groups of 27, 6 groups of 18, 9 groups of 12, 12 groups of 9, 18 groups of 6, 27 groups of 4, or 36 groups of 3 cookies. Since there are more than 100 words required, let's talk about the importance of fractions and equivalent ratios.

In conclusion, Greg's mom baked 24 cookies, Vinnie's mom baked 36 cookies, and Brad's mom baked 48 cookies, resulting in a total of 108 cookies. The cookies can be divided into fractions or equivalent ratios to distribute them evenly among the children.

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Answer:

what is the formulae for finding a circle

(a-1) The value of the population mean is unknown.

(a-2) The best estimate of the population mean is the sample mean, which is 20 eggs.

(c) The value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) the 95% confidence interval for the population mean is approximately (17.902, 22.098).

(e-1) It would not be reasonable to conclude that the population mean is 17 eggs.

(e-2) It would be reasonable to conclude that the population mean is 18 eggs.

(a-1) The given information provides the sample mean (20 eggs) and the sample standard deviation (5 eggs), but it does not directly provide the population mean.

(a-2) In the absence of other information, the sample mean is a reasonable estimate of the population mean.

(c) For a 95% confidence interval, the value of t can be determined using the t-distribution with n-1 degrees of freedom, where n is the sample size. In this case, the sample size is 18, so the degrees of freedom is 18 - 1 = 17.

Using a t-distribution table or a statistical software, the value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) To determine the 95% confidence interval for the population mean, we can use the formula: Confidence interval = sample mean ± (t * standard error), where the standard error is the sample standard deviation divided by the square root of the sample size.

In this case, the sample mean is 20, the standard deviation is 5, the sample size is 18, and the value of t is 2.110. Plugging in these values, the confidence interval is 20 ± (2.110 * (5 / √18)), which evaluates to approximately 20 ± 2.098.

(e-1) The 95% confidence interval calculated in part (d) does not include 17 eggs, indicating that it is unlikely for the population mean to be 17 eggs.

(e-2) The 95% confidence interval calculated in part (d) includes 18 eggs, suggesting that it is plausible for the population mean to be 18 eggs.

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Answer:

there is no number that can do that the closest you can get is 7 and 7 giving you 49 when multplied

Step-by-step explanation:

Answer:

10 × 2 × 2 = 50

10 + 2 + 2 = 14

The p value for the difference is 0.005.

According to the statement

we have given that the 74 of 100 urban residents favor the construction while only 70 of 125 suburban residents are in favor.

And we have  to find the difference between them in proportions.

So,

X1 = 74 represent the number of residents in a certain city and its suburbs who favor the construction of a nuclear power plant

X2 = 70 represent the number of people suburban residents are in favor

N1  = 100 sample 1 selected

N2 = 125 sample 2 selected

AND

P1 = 0.74 represent the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant

And P2 = 0.56 represent the proportion of suburban residents are in favor And z would represent the statistic (variable of interest)  

Pv represent the value for the test (variable of interest)

Here we apply the Z test to find the difference then

Z = (0.74 - 0.56) / (0.64(1-0.64)(1/100+1/125) )^1/2

Now after solving

Z = 2.795.

Now The significance level provided is  ,and we can calculate the p value for this test.  

Since is a two tailed test the p value would be:  

P = (z>2,795)

P = 0.005.

So, The p value for the difference is 0.005.

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It should produce 23 rock CDs and 46 rap CDs next month to maximize its profits.

Assume number of rock CDs produced is R

Assume number of rap CDs produced is P.

The distributor said that up to twice as many rap CDs can be produced as rock CDs, so we have constraint\(P \leq 2R.\)

We also have the following constraints:

To maximize profits, we need to maximize the objective function:

Profit = 20,000R + 30,000P

The optimization problem. Let us e\rearrange the production time constraint to obtain P in terms of R:

25P ≥ 175 - 18R

P ≥ (175 - 18R)/25

Substitute the inequality into production cost constraint:

15,000R + 12,000[(175 - 18R)/25] ≤ 150,000

Simplifying the inequality, we get:

375R - 216R ≤ 3750

159R ≤ 3750

R ≤ 3750/159

R ≤ 23.59

Substitute R = 23 into the inequality P ≤ 2R, we get:

P ≤ 2(23)

P ≤ 46.

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The triangle ABC can be solved using the law of cosines and the law of sines. Substituting the values, we get a, b, and c, and then substituting them, we get a, b, and c. The sine of an angle is always less than or equal to 1, so there is no solution. The answer is DNE.

To solve triangle ABC given that a=22, b=47, and c=28. we will make use of the law of cosines, which is used to solve a triangle when given two sides and the angle between them.Law of Cosines: \($$c^2=a^2+b^2-2ab\cos(C)$$\) Rearranging the above formula, we can find the value of cosine. \($$\cos(C)=\frac{a^2+b^2-c^2}{2ab}$$\)

Now, we will substitute the values of a, b, and c in the formula above.\($$cos(C)=\frac{22^2+47^2-28^2}{2(22)(47)}$$$$cos(C)=0.4125$$\)Now, we will find angle C. \($$C=\cos^{-1}(0.4125)$$$$C=66.12^{\circ}$$\)

To find angle A and B, we will use the law of sines, which states that \($$\frac{a}{\sin(A)}=\frac{b}{\sin(B)}=\frac{c}{\sin(C)}$$\) Substituting the values of a, b, and c, we have \($$\frac{22}{\sin(A)}=\frac{47}{\sin(B)}=\frac{28}{\sin(66.12)}$$$$\sin(A)=\frac{22\sin(66.12)}{28}=0.6478$$$$A=41.8^{\circ}$$$$\sin(B)=\frac{47\sin(66.12)}{28}=1.0824$$\)

There is no real value for $\sin(B)$ as the sine of an angle is always less than or equal to 1. Hence, there is no solution to this triangle. Therefore, the answer is DNE.

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Normal or natural variations in the quality of production output that are due purely to chance are common causes.

According to the statement

we have to tell about the that cause which effect the quality and production output in the normal and natural variation.

So, For this purpose, we know that the

Common cause variation is present when the control chart of a process measure shows a random pattern of variation with all points within the control limits. When a control chart shows common cause variation, a process measure is said to be in statistical control or stable.

And due to this cause there is a lot of effect on the natural variations in the quality of production output.

So, Normal or natural variations in the quality of production output that are due purely to chance are common causes.

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The person's average daily balance will be 90,190 by adding up the balances for each day of the month and dividing by the total number of days.

In this case, the person has a balance of $3,270 for 9 days, $4,360 for 10 days, and $1,430 for 12 days.

To find the average daily balance, we add up the product of each balance and its corresponding number of days, and then divide by the total number of days in the month (31 days).

So, the calculation would be:

(3270 * 9 + 4360 * 10 + 1430 * 12) / 31

90,190

By performing this calculation, we can determine the average daily balance for the person's credit card rounded to the nearest cent.

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Answer: yes it is linear

Step-by-step explanation:

Answer:

l

Step-by-step explanation:

Answer: 3

Step-by-step explanation: I don’t have an explanation but I got the same question on a quiz and 3 was the correct answer.

the possible values for y are in between 20 and 80 will be 3.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

If 12 is the greatest common factor of y and 36.

The value of y will be a multiple of 12 and greater than 36.

Then the numbers will be

12 x 4 = 48

12 x 5 = 60

12 x 6 = 72

Then the possible values for y are in between 20 and 80 will be 3.

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Answer:

C) 3

Step-by-step explanation:

Plug in the values on c and d and solve

((3)^2 + (2)^2) - 2((3)^2 - (2)^2)

Solve inside the parenthesis first

(9+4) - 2(9-4) = (13) - 2(5)

Distribute the 2 and solve

13 - 10 = 3

Answer:

X+22°=90°

X=90°-22°

X=68°

A linear function that relates y to x include the following: B. y = 1/2(x)

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using the various data points from table D as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 1/2

Therefore, the required linear function is given by;

y = kx

y = 1/2(x)

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The total number of residents that voted in the town election is 5275 votes

Total number of votes received = 2300 votes

Consider the total number of votes in the town election = x

She received 190 more than 2/5 of the total number of votes

2/5 of the total number of votes = (2/5)x

190 more than 2/5 of the total number of votes = (2/5)x + 190

The equation will be

(2/5)x + 190 = 2300

Move 190 to the right hand side of the equation

(2/5)x = 2300 - 190

(2/5)x = 2110

0.4x = 2110

x = 2110 / 0.4

x = 5275 votes

Hence, the total number of residents that voted in the town election is 5275 votes

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Answer:

-1

Step-by-step explanation:

Ghana is a great place to work for and it is the most versatile and affordable way to do business with you in the future of the following statements is of a hole in your heart to be added

A number in a fraction implies the part of a number in another given number. While percentage relates a given number to 100%. Thus the answers to the given question are:

a. a fraction of penalty shots that the team missed = \(\frac{81}{100}\)

b. percentage of penalty shots missed =  \(\frac{81}{100}\) x 100%

                                                           = 81%

A fraction is a part of a given number stated in a quotient form. Generally, all numbers can be expressed in form of fractions, even whole numbers.

The percentage is an expression that shows the part of a number in a given number with respect to 100%. An example is 10%(\(\frac{10}{100}\)).

From the given question, let;

n, number of penalty shots made = 19

T, the total number of penalties taken = 100

Thus, the number of penalties missed = T - n

                                               = 100 - 19

                                               = 81

Thus,

i. a fraction of penalty shots that the team missed = \(\frac{81}{100}\)

ii. percentage of penalty shots missed =  \(\frac{81}{100}\) x 100%

                                                           = 81%

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Answer:

318is / 786 the line for Abby at Asia Ray and the angel is the B

Step-by-step explanation:

i hope it work