Determine the relationship between the two triangles and whether or not they can be proven to be congruent. ​

Answer:

y= -1/4x + 4

Step-by-step explanation:

4x-y = 12

4x - 12 = y

Slope = 4

Slope of the perpendicular line: -1/4

Point (8,2)

y-intercept: 2 - (-1/4)(8) = 2 + 2 = 4

Answer:

(1). x = 14 ; (2). 70°

Step-by-step explanation:

(1). m∠ACD = m∠A + m∠B

6x + 2 = (2x + 1) + (3x + 15)

6x - 5x = 14

x = 14

(2). m∠ABC = 180° - m∠CBD = 140°

m∠A = m∠C = 140° ÷ 2 = 70°

Answer:

see the attachment photo!

Answer:

Cost is $255

Step-by-step explanation:

Cost = 150 + 15d   ( d = day(s) )

Cost = 150 + 15(7)   ( d becomes 7 because the boat is rented for 7 days )

Cost = 150 + 105

Cost  = 255

Hopefully this helped!

Brainiest please?

Answer:

The cost of Juan's rent of the boat in 7 days is 255

Step-by-step explanation:

Cost = 150 + 15d

--

==>> D = days

--

Cost = 150 + 15(7)

--

150 + 105 = Cost

--

255 = Cost

FINAL

Public opinion polls use sample sizes of more than 1000 people because it helps to ensure that the results are statistically significant. This means that the results are likely to be accurate and representative of the population as a whole.

The margin of error for a poll is the amount by which the results of the poll could be off from the actual results. The margin of error is calculated using the sample size, the confidence level, and the standard deviation of the population.

The confidence level is the probability that the results of the poll are within the margin of error. The standard deviation of the population is a measure of how spread out the opinions of the population are.

The larger the sample size, the smaller the margin of error will be. This is because the larger the sample size, the more likely it is that the sample will be representative of the population as a whole.

For example, if a poll has a sample size of 1000 people and a confidence level of 95%, the margin of error will be +/- 3%. This means that there is a 95% chance that the results of the poll are within 3% of the actual results.

If a poll has a sample size of 500 people and a confidence level of 95%, the margin of error will be +/- 4.4%. This means that there is a 95% chance that the results of the poll are within 4.4% of the actual results.

As you can see, the larger the sample size, the smaller the margin of error will be. This is why public opinion polls use sample sizes of more than 1000 people. It helps to ensure that the results are statistically significant and that they are likely to be accurate and representative of the population as a whole.

Answer:

r=6.4

Step-by-step explanation:

Get r by itself you need to add 8.5 to get 6.4

Hope this helps (:

Answer:

r-8.5=-2.1

r=-2.1+8.5

r=6.4

Step-by-step explanation:

The equivalent taxable yields for a short-term municipal bond offering yields of 4% are as follows: 1) 4%, 2) 4.44%, 3) 5%, and 4) 5.71% for tax brackets of zero, 10%, 20%, and 30% respectively.

The taxable equivalent yield represents the yield that a taxable bond would need to offer in order to provide the same after-tax return as a tax-exempt municipal bond. To calculate the equivalent taxable yield, we divide the tax-exempt yield by (1 - tax rate).

In summary, the equivalent taxable yields for a short-term municipal bond offering yields of 4% are 4%, 4.44%, 5%, and 5.71% for tax brackets of zero, 10%, 20%, and 30% respectively. These figures indicate the taxable yields that would provide the same after-tax return as the tax-exempt municipal bond.

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Answer:

34 = s

Step-by-step explanation:

To solve for s, add 21 to both sides of the equation.

13 = s - 21

21 + 13 = s - 21 + 21

34 = s

#teamtrees #PAW (Plant And Water)

Answer:

126 in cubed. - pyramid

378 in cubed. - prism

Step-by-step explanation:

Volume for pyramid: 1/3(B)(h)

This pyramid 1/3(42)(9)

126 in cubed.

Volume for prism: B(h)

This prism: (42)(9)

378 in cubed.

2.) The cube's volume

length ⋅ width ⋅ height

The triangular prism's volume is

l⋅w⋅h/3

9x6x7= 378

378/3=

3.)

4.)

To solve for the missing value:

(a) These inequality is solved by first collecting like terms

(b) These inequality will solved by opening the bracket

Therefore the correct answer for x > 4 and m ≥ -10

\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

let's solve ~

Perimeter of the composite figure :

Perimeter of rectangle + circumference of semi circle - common side.

Perimeter of rectangle :

\(\qquad \tt \dashrightarrow \:2(4 + 12)\)

\(\qquad \tt \dashrightarrow \:2(16)\)

\(\qquad \tt \dashrightarrow \:32 \: \: ft {}^{} \)

Circumference of Semicircle :

\(\qquad \tt \dashrightarrow \:\pi r\)

\(\qquad \tt \dashrightarrow \:3.14 \times 2\)

\(\qquad \tt \dashrightarrow \:6.28 \: ft\)

Length of common side = 4 feet

So, perimeter of composite figure :

\(\qquad \tt \dashrightarrow \:32 + 6.28 - 4\)

\(\qquad \tt \dashrightarrow \:34.28 \: ft\)

the probability of obtaining a sample mean within 500 of the population mean is approximately 0.6827.

To solve this problem, we need to use the central limit theorem which states that the distribution of the sample means will be approximately normal with mean equal to the population mean and standard deviation equal to the population standard deviation divided by the square root of the sample size.

Given that the population mean is 51800 and the population standard deviation is 4000, we can calculate the standard error of the mean as follows:

Standard error of the mean = 4000 / sqrt(64) = 500

We want to find the probability of obtaining a sample mean within 500 of the population mean. This can be written as:

P(51800 - 500 < X < 51800 + 500)

where X is the sample mean.

We can standardize this interval using the standard error of the mean:

P(-1 < Z < 1)

where Z is a standard normal variable.

Using a standard normal table, we find that the probability of Z being between -1 and 1 is approximately 0.6827.

Therefore, the probability of obtaining a sample mean within 500 of the population mean is approximately 0.6827.

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Answer: Y = 4X + 3

Step-by-step explanation:

the equation for is it y = mx + b

well you are already given m and x only signifies that it is the slope

y = 4x + b

b is the y-intercept, where you start your slope (ALWAYS will be on the y-axis)

y = 4x + 3

Answer:

\(\boxed {\tt y=4x+3}\)

Step-by-step explanation:

Slope intercept is defined as:

\(y=mx+b\)

where m is the slope and b is the y-intercept.

We know the slope is 4 and the y-intercept is 3. Substitute 4 in for m and 3 in for b.

\(m=4 \\b=3\)

\(y=(4)x+3\)

\(y=4x+3\)

The equation of the line in slope-intercept form is y=4x+3

Rounding off the solution obtained by solving an integer programming problem as a linear programming problem can provide a feasible solution, but it does not guarantee optimality and may require additional analysis

When solving an integer programming problem, we must consider that the decision variables can only take on integer values. However, solving an integer programming problem directly can be computationally challenging. One approach is to first solve the problem as a linear programming problem, which allows for non-integer values of the decision variables. Then, the solution can be rounded off to obtain integer values.

However, rounding off the solution obtained by solving the problem as a linear programming problem does not guarantee optimality. In fact, the values of decision variables obtained by rounding off may be sub-optimal or might violate some constraints. Therefore, it is important to carefully check the feasibility of the rounded off solution before using it in practice.

In summary, rounding off the solution obtained by solving an integer programming problem as a linear programming problem can provide a feasible solution, but it does not guarantee optimality and may require additional analysis.

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The value of the constant k that makes the differential equation (6zy-ey)dr = (et - kr?)dy exact is k = 3. The homogeneous equation can be converted to a separable dc y equation by using the substitution y = ur.

To find the value of k, we need to check if the differential equation is exact. A differential equation is exact if the following condition holds:(6zy-ey)_y = (et - kr?)_x

In this case, we have:

(6zy-ey)_y = 6z - e

and:

(et - kr?)_x = e - 2kr

Equating these two expressions, we get:

6z - e = e - 2kr

Solving for k, we get:

k = 3

Now, to convert the homogeneous equation to a separable dc y equation, we use the substitution y = ur. This gives us the following equation:

(6zu - eu)dr = (et - 3r^2)du

Dividing both sides of this equation by u, we get:

6z - e = et/u - 3r^2/u

Multiplying both sides of this equation by u, we get:

6zu - eu = et - 3r^2

This is a separable dc y equation.

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Answer: 0.84

16/19 = 0.8421....

0.8421 rounded to the nearest tenth is 0.84.

The answer is 0.84.

Answer:

A

Step-by-step explanation:

cannot be B because the slope is positive, not negative

cannot be D because the y-intercept is 8, not negative 8

Answer:

ac equals -12

Step-by-step explanation:

When 2 or more letters are put together, you need to multiply them.

ac=

a×c=

2×(-6)=

-12

ac= -12

Answer:

-12

Step-by-step explanation:

a = 2 and c = -6

ac= a*c = 2*(-6)= -12

The linear equation representing the number of Takis bags Circle K will sell today is y = 4x + 16, where y is the dependent variable and x is the independent variable.

Circle K sells many bags of potato chips, but the most popular bag of chips is Takis. They sell about 4 bags of Takis per hour. Today, Circle K has already sold 16 bags of Takis. To represent this information as a linear equation, we can let y represent the total number of Takis bags sold today and x represent the number of hours Circle K has been open. The linear equation indicating the number of Takis bags Circle K will sell today is y = 4x + 16. The dependent variable is y (the total number of Takis bags sold) and the independent variable is x (the number of hours Circle K has been open).

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Answer:

D.

Step-by-step explanation:

It is simple. Subtract 7* from 65* to get you 58* F.

A, 99

8 x 8 = 64

12 x 12 = 144

9 x 9 = 81

Hence , the equivalent expression for 9⁻⁷ × 9⁵ is 1/9 which is option (b) .

We have given an expression 9⁻⁷ × 9⁵ .

On solving , we get

9⁻⁷ × 9⁵ = 9⁽⁻⁷⁺⁵⁾

             = 9⁻²

             = 1/9²

(a) -9² , it is not equal to 1/9² so ,this is not the required answer .

(b) It is given that one over nine raised to the second power which can be represented by 1/9² , as this equal to 1/9² so ,this is the required answer .

(c)  It is given that one over nine raised to the power of negative two which can be represented by 1/9⁻² , as this is not equal to 1/9² so ,this is not the required answer .

(d) 9² as this is not equal to 1/9² so ,this is not the required answer .

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The complete question is given below :

Create an equivalent expression for  9⁻⁷ × 9⁵

(a) -9²

(b) one over nine raised to the second power

(c) one over nine raised to the power of negative two

(d) 9²

A sample size of 1076 is needed , To calculate the required sample size for estimating a population proportion with a desired margin of error and confidence level, we can use the formula:

n = (\(Z^2\) * p * (1-p)) / \(E^2\)

where:

- n is the required sample size

- Z is the z-score corresponding to the desired confidence level

- p is the estimated population proportion

- E is the desired margin of error

Let's calculate the required sample size for each exercise:

6.15: Margin of error within 25% with 95% confidence.

E = 0.25

Z = 1.96 (corresponding to 95% confidence level)

p is not given, so we can assume a worst-case scenario where p = 0.5 (maximum variability).

Substituting these values into the formula:

n = (1.96^2 * 0.5 * (1-0.5)) / 0.25^2

n ≈ 384.16

Rounding up to the nearest whole number:

n = 385

Therefore, a sample size of 385 is needed.

6.16: Margin of error within +1% with 99% confidence.

E = 0.01

Z = 2.58 (corresponding to 99% confidence level)

p is not given, so we can assume a worst-case scenario where p = 0.5 (maximum variability).

Substituting these values into the formula:

n = (2.58^2 * 0.5 * (1-0.5)) / 0.01^2

n ≈ 6658.08

Rounding up to the nearest whole number:

n = 6659

Therefore, a sample size of 6659 is needed.

6.17: Margin of error within +3% with 90% confidence.

E = 0.03

Z = 1.645 (corresponding to 90% confidence level)

p = 0.3 (estimated population proportion)

Substituting these values into the formula:

n = (1.645^2 * 0.3 * (1-0.3)) / 0.03^2

n ≈ 317.91

Rounding up to the nearest whole number:

n = 318

Therefore, a sample size of 318 is needed.

6.18: Margin of error within +2% with 95% confidence.

E = 0.02

Z = 1.96 (corresponding to 95% confidence level)

p = 0.78 (estimated population proportion)

Substituting these values into the formula:

n = (1.96^2 * 0.78 * (1-0.78)) / 0.02^2

n ≈ 1075.56

Rounding up to the nearest whole number:

n = 1076

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Answer:

The third one

Step-by-step explanation:

consider the following image

\(\frac{10}{\sqrt{2} } =5\sqrt{2}\)

The additional amount that Austin will have for his boat purchase after 2.5 years of depositing $5,000 at 3% simple interest is $375.

Simple interest is the interest system that computes interest only on the principal for each period.

The simple interest formula is Principal x Rate x Time.

The cost of the boat that Austin wants to purchase = $15,000

The initial deposit made by Austin in a savings account (principal) = $5,000

Simple interest rate = 3%

3% = 3 ÷ 100 = 0.03

Investment period = 2.5 years

Simple Interest (Additional money in the account) = $375 ($5,000 x 0.03 x 2.5)

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Answer:

-10a-5=135

-10a = 140 add 5 to both sides

a=-14 divide both sides by -10

Step-by-step explanation:

Answer:

a= -14

Step-by-step explanation:

-10a-5=135

-10a=140

a= -14**

The system of linear equation that represent this problem is

6x + 10y = 900

10x + 4y = 1220

Let's represent the number of CDs Roberto bought as x and the number of magazines as y

The problem states the following information:

Using the variables;  x and y as given;

1. Roberto bought 6 CDs and 10 magazines for $900.00 pesos. This can be represented as the equation:

  6x + 10y = 900

2. María bought 10 CDs and 4 magazines for $1,220.00 pesos. This can be represented as the equation:

  10x + 4y = 1220

So, the system of equations representing the problem is:

6x + 10y = 900

10x + 4y = 1220

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Translation: Roberto bought 6 cd's and 10 magazines for $900.00 pesos; In the same store, her friend María bought 10 CDs and 4

magazines at $1,220.00 pesos. What is the system of equations with two unknowns that represents the problem?

According to the statement, the new flavour received 3 votes for every vote received by the original flavour. Denoting:

• x = # of votes of the original flavour,

• n = # of votes of the new flavour.

We can write the following equation for the number of votes:

Now, according to the statement, the number of votes of the new flavour is n = 723, replacing this number in the equation above and solving for x, we get:

Answer

The original flavour received 241 votes.