‼️WILL MARK BRAINLIEST‼️

Answer:

y=5 and x=-1 are parallel

Step-by-step explanation:

Let's do a quick review on some things:

Parallel lines are the lines that never intersect and perpendicular lines are the lines that intersect at 90°.

Lines with the same slope are parallel and if the slope of one line is the negative reciprocal of the second line, then they are perpendicular.

So, this answers to your question that it's parallel!

Hopefully this helps :)

The values for numbers #21 through #26 are as follows:

#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397

#21: 2.33% (arithmetic mean as a fraction: 0.0233)

#22: $56.4842 (result of the calculation)

#23: 1.85% (geometric mean as a fraction: 0.0185)

#24: $56.4148 (result of the calculation)

#25: 3.64% (continuous mean as a fraction: 0.0364)

#26: $57.4397 (result of the calculation)

To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.

#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.

#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.

#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.

#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.

#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.

#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.

Hence, the values for numbers #21 through #26 are as calculated above.

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Answer:

No.

Step-by-step explanation:

They are not correct because the "| |" signs mean absolute value. What ever is inside the signs must be positive. So -9 becomes 9 and 9 is greater than 4. So, the student is not correct.

Answer: y=\(\sqrt[3]{x}\)-4

Step-by-step explanation:

The average quantity of juice that is consumed per person in this country is given as 3.84

We have the following data with which to answer this question

The consumption of juice = 1.92 billion

The population of the country = 500 million

The question wants us to calculate the amount of drink that the persons would consume on average in this nation.

we have average = quantity consumed / total number of persons

This would give us

average = 1.92 billion / 500 million

= 1, 920, 000, 000 / 500, 000 ,000

= 3.84

Hence the amount of juice that is consumed per person in this country is given as 3.84

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Answer:

Center: (6, -12)

Radius: 4

Step-by-step explanation:

Complete the squares

\(x^2+y^2-12x+24y-10=6\\\\x^2-12x-10+y^2+24y=6\\\\x^2-12x-10+46+y^2+24y+144=6+46+144\\\\(x^2-12x+36)+(y^2+24y+144)=196\\\\(x-6)^2+(y+12)^2=196\)

Comparing with the standard form equation \((x-h)^2+(y-k)^2=r^2\), since \(r^2=196\), then the radius of the circle is \(r=14\). Also, the center of the circle would be \((h,k)\rightarrow(6,-12)\).

The sum of all edges of the regular quadrilateral Pyramid is approximately 66.68 cm.

The sum of all edges of a regular quadrilateral pyramid, we need to determine the number of edges in the pyramid and then calculate their total length.

A regular quadrilateral pyramid has a base that is a regular quadrilateral, meaning all sides of the base have the same length. Let's assume that each side of the base has a length of "a" cm.

The perimeter of the base is given as P = 30 cm, so each side of the base measures 30 cm divided by 4 (since there are four equal sides) which is 7.5 cm.

Now, let's consider the lateral face of the pyramid. A regular quadrilateral pyramid has four lateral faces, each of which is an isosceles triangle. The perimeter of a lateral face is given as 27.5 cm. Since there are three edges in each lateral face, the length of each edge is 27.5 cm divided by 3, which is approximately 9.17 cm.

Therefore, the sum of all the edges in the pyramid is calculated as follows:

Sum of edges = (4 × a) + (4 × 9.17)

Since we know that each side of the base (a) is 7.5 cm, we can substitute this value into the equation:

Sum of edges = (4 × 7.5) + (4 × 9.17)

            = 30 + 36.68

            = 66.68 cm

Hence, the sum of all edges of the regular quadrilateral pyramid is approximately 66.68 cm.

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Answer:

The bake sale raised $159.75

Step-by-step explanation:

The probability that the distance between them is more than the radius of the circle is given as follows:

0.5 = 50%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

For the circle, we have that the radius is the distance between any point on the circumference of the circle, and the center.

The largest distance is the diameter, which is the distance between two points on the circumference of the circle, passing through the center.

The diameter is twice the radius, hence the probability is given as follows:

p = r/2r

p = 1/2

p = 0.5 = 50%.

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The material remained for the blanket after trimming off by Keith is 2.5 yards.

Simple subtraction and multiplication can provide the result. Beginning will be by the multiplication. Firstly finding the exact amount of material trimmed = 3×1/6

Performing multiplication and division on Right Hand Side of the equation

Trimmed material = 1/2 or 0.5

Now, we need to subtract the trimmed material from overall amount of material

Remaining material = 3 - 0.5

Performing subtraction on Right Hand Side of the equation

Remaining material = 2.5 yards

Hence, 2.5 yards of material remained.

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Answer:

z=-21

Step-by-step explanation: (9-3)/2=(6+z)/5

We move all terms to the left:

(9-3)/2-((6+z)/5)=0

We add all the numbers together, and all the variables

-((z+6)/5)+6/2=0

We add all the numbers together, and all the variables

-((z+6)/5)+3=0

We multiply all the terms by the denominator

-((z+6)+3*5)=0

We calculate terms in parentheses: -((z+6)+3*5), so:

(z+6)+3*5

We add all the numbers together, and all the variables

(z+6)+15

We get rid of parentheses

z+6+15

We add all the numbers together, and all the variables

z+21

Back to the equation:

-(z+21)

We get rid of parentheses

-z-21=0

We add all the numbers together, and all the variables

-1z-21=0

We move all terms containing z to the left, all other terms to the right

-z=21

z=21/-1

z=-21

Answer:41.5

Step-by-step explanation:

By arranging the data from smallest to largest, like this:

40, 41, 42, 45, we can take the average of the two middle values divided by 2 to find the median. This is done with an equation like this:

(41+42)/2

Which comes out to be 41.5.

The measure of angle ∠E is 90 degrees. Therefore, the answer is C.

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

Therefore, the triangles EFG and JKL are congruent and that means the side and angles are congruent.

Therefore,

ΔEFG ≅ ΔJKL

where

∠E = ∠J = 90 degrees

∠F = ∠K = 26 degrees

∠G = ∠L = 64 degrees

Therefore, let's find ∠E as follows:

Using the congruency as follows:

∠E = 90 degrees

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2x + 2x + 15 - x +4x - 7 + 9 = 94

8x - x + 17 = 94

7x = 94 - 17

7x = 77 / : 7

x = 11 [ m }

Answer:

(- 9, 2 )

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

(9, 2 ) → (- 9, 2 )

Answer:

someone needs to answer this because i dont know

it.

Step-by-step explanation:

he is correctStep-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Because because there are six books in total and she only red 5 in the way

We first calculate the front and back which are 2 congruent(equal) triangles. The 2 areas together is...

9*6/2*2=54

Now we want to calculate the 2 rectangles at the top right and top left of the shape they are also congruent(equal). The 2 areas together is...

7*5*2=70

The last part is the rectangle on the bottom with area...

9*5=45

Now we just need to add them all together...

54+70+45=124+45=169

I hope this helped you, if you have any questions about this solution just ask me in the comments :)

Answer:

223cm

Step-by-step explanation:

First you want to figure out how many faces the 3D shape has.

This has 5 faces.

Then you find the area of each face.

The front face has an area of 54cm because the length is 6cm and the width is 9cm.

Area = Length x Width

The back face will always have the same area as the front.

54cm + 54cm = 108cm (Front and Back Face)

Now the right side and left side.

The width of the side is 5cm and length is 7cm.

7cm • 5cm = 35cm

Just like the front and back, the right and left side will have the same area.

35cm + 35cm = 70cm

Now the last part.

There is no top face since this is a 3D triangle and not a square and rectangle etc.

So, you don't add it two times like the others.

The bottom's width is 5cm and the length is 9cm

5cm • 9cm = 45cm

Now you add all of it up together to find the surface area.

108cm + 70cm + 45cm = 223cm

Hope this helps dude

Therefore, the probability that the first two selected people would not recommend their attorney and the third person is not sure if they would recommend their attorney is approximately 0.0114 or 1.14%.

To determine the probability that the first two selected people would not recommend their attorney and the third person is not sure if they would recommend their attorney, we need to calculate the joint probability of these events.

Let's denote the events as follows:

A: First person does not recommend their attorney

B: Second person does not recommend their attorney

C: Third person is not sure if they would recommend their attorney

Given that the selections are made at random, we can assume that each person's response is independent of others. Therefore, we can multiply the probabilities of each event to calculate the joint probability.

The probability of the first person not recommending their attorney is:

P(A) = 8/45

Given that the first person did not recommend their attorney, the probability of the second person also not recommending their attorney is:

P(B|A) = 7/44

(Note: The sample size decreases by one because the first person's response is already known)

Given that the first two people did not recommend their attorneys, the probability that the third person is not sure if they would recommend their attorney is:

P(C|A,B) = 14/43

(Note: The sample size decreases again because the first two people's responses are known)

To find the joint probability, we multiply these probabilities together:

P(A and B and C) = P(A) * P(B|A) * P(C|A,B)

Substituting the values:

P(A and B and C) = (8/45) * (7/44) * (14/43)

Calculating this expression:

P(A and B and C) ≈ 0.0114

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Answer:

19.33

Step-by-step explanation:

the value of the integral  tan³(x) sec(x) dx is  1/3 sec³(x) - sec(x) + C where C is the constant of integration

We can use a substitution method to evaluate the integral ∫ tan³(x) sec(x) dx.

We know that the trigonometric identity tan²(x) = sec²(x) - 1

I = ∫ tan³(x) sec(x) dx

I = ∫ tan²(x) tan(x) sec(x) dx.

I = ∫ (sec²(x) - 1) tan(x) sec(x) dx.

Let sec(x) = t

Differentiating w r t t

sec(x) tan(x) dx = dt

I = ∫ (t² - 1) dt

I = 1/3 t³ - t + C

Putting value of t

I = 1/3 sec³(x) - sec(x) + C

Therefore the value of the integral  tan³(x) sec(x) dx is  1/3 sec³(x) - sec(x) + C where C is the constant of integration

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When two identical capacitors are connected in parallel, the total stored energy in the capacitors is the sum of the energies stored in each capacitor.

In this case, capacitor A is charged and stores 4 J of energy, while capacitor B is uncharged initially. When they are connected in parallel, the charge on capacitor A will flow to capacitor B, resulting in both capacitors having the same charge.

Since the capacitors are identical, they will share the charge equally. Therefore, after connecting them in parallel, capacitor B will also acquire a charge equivalent to that of capacitor A.

Since the energy stored in a capacitor is given by the formula E = (1/2)CV^2, where C is the capacitance and V is the voltage, we can conclude that the total stored energy in the capacitors after connecting them in parallel will be twice the energy of capacitor A.

Therefore, the total stored energy in the capacitors is 2 times the energy of capacitor A, which is 2 * 4 J = 8 J.

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Answer:

ya  poop in the coffee and then ya see how  many pounds there is find the the type urself

Step-by-step explanation:

The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.

The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).

By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.

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If the sample mean is 12.8, sample standard deviation is 2 and sample size is 20, then the student's t-distribution should be use to perform the hypothesis test

The population mean = 13

The sample mean = 12.8

The standard deviation = 2

The sample size of the population = 20

The given condition is the underlying population is normal.

Here population standard deviation is missing in the given data. So to perform a hypothesis test when the population standard deviation is missing then we have to use the student t-distribution

Therefore, the student's t-distribution should be use to perform the hypothesis test

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Answer:

YZ = 5 mi

t = 1.56 hr

Step-by-step explanation:

\(VW || ZY => \angle Y = \angle V\\tan (\angle V) = \frac{6}{10} => tan (\angle Y) = \frac{XZ}{YZ} = \frac{3}{YZ} = \frac{6}{10}\\YZ = 5\\\frac{3.2 mi}{1 hr} = \frac{5 mi}{t} => t = 1.56 hr = 1 hr, 34 min\)

The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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Answer:

22.69 ~ = 23 feet

Step-by-step explanation:

cos 19 = adj/24

24cos 18 = adj

adj = 22.69~= 23

In the proportion, the degree of freedom is 12.

What is proportion?

Two ratios are set to be equal in an equation called a proportion. For instance, you could express the ratio as 1: 3 (for every one boy, there are three girls), which means that 14 of the population is made up of boys and 34 of the population is made up of girls.

Here the given that 13 proportions then,

=> k=13

Sample size = N = \(\sum fi\) = 173

Degree of freedom = k - 1 = 13-1 = 12.

Hence the degree of freedom is 12.

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Answer:

80

Step-by-step explanation:

5*16 = 80

Hence, the Marc has the number of cups are \(80\).

What is the equation?

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

The most basic and common algebraic equations in math consist of one or more variables.

Here given that,

Marc is filling one-cup containers with juice. He has five gallons of juice.

As we know,

\(1gallon=16cups\)

So, it would be \(5(16)=80\).

Hence, the Marc has the number of cups are \(80\).

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