15 points. What is the value of k?

\(\huge \bf༆ Answer ༄\)

Let's solve ~

Hence, the required power in fractional form is ~

Answer:

Surface Area: 184cm^2

Volume: 120cm^2

Step-by-step explanation:

Answer:

\(\frac{-3xy}{z^{2} }\)

Step-by-step explanation:

\(\frac{-24x^{2}y^{5}z}{8xy^{4}z^{3} }\)

Lets divide like terms

-24/8 = -3

\(x^{2}\)/\(x^{1}\) = \(x^{1}\)

\(y^{5}\)/\(y^{4}\) = \(y^{1}\)

\(z^{1}\)/\(z^{3}\) = \(z^{-2}\)

After diving like terms you are left with:

\(\frac{-3xy}{z^2}\)

Answer:

37800 meters

Step-by-step explanation:

3600 seconds in an hour x 3

0.5 meters

multiply that number by 7, days a week

=37800

Answer:

We cannot agree with Andre because x = 3.

Step-by-step explanation:

Assuming the diagram is a weighing scale which can also be represented as an equation having two sides that is balanced. We can express the situation as follows using equation:

x + 2 = 5

Solve for x

x + 2 - 2 = 5 - 2 (subtraction property of equality)

x = 3

If you plug in the value of x on the diagram given, the scale becomes balance on each side.

Therefore, x = 3. Andre is wrong and we cannot agree with Andre.

The polar coordinates of (1, -9) are (9.06, -1.47 radians).

To convert from rectangular coordinates to polar coordinates, we can use the following formulas:

r = √(x² + y²)

θ = tan⁻¹(y/x)

where r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line connecting the origin to the point.

In this case, x = 1 and y = -9. Plugging these values into the formulas, we get:

r = √(1² + (-9)²) = √82 ≈ 9.06

θ = tan⁻¹((-9)/1) ≈ -1.47 radians

Therefore, the polar coordinates of (1, -9) are (9.06, -1.47 radians). The distance from the origin to the point is approximately 9.06 units, and the angle between the positive x-axis and the line connecting the origin to the point is approximately -1.47 radians (or approximately -84.26 degrees).

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Answer:3.8

Step-by-step explanation:

We are 90% confident that the true proportion of houses in the area that cost less than $200,000 is between 0.27 and 0.41.

A confidence interval is a range of values that is likely to contain the true value of a population parameter with a certain level of confidence, based on a sample from the population.

The level of confidence is typically expressed as a percentage, such as 90%, 95%, or 99%, and indicates the probability that the true value of the parameter lies within the interval.

We have,

We can interpret the 90% confidence interval as follows.

If we were to repeat the sampling process many times and compute the confidence interval for each sample, about 90% of the intervals would contain the true proportion of all houses in the area that cost less than $200,000.

Therefore,

We are 90% confident that the true proportion of houses in the area that cost less than $200,000 is between 0.27 and 0.41.

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There will be 5 boxes in the tenth row.

To represent the arithmetic sequence of boxes in each row, we can use the formula for the nth term of an arithmetic sequence:

a_n = a_1 + (n - 1) * d

Where:

a_n represents the nth term of the sequence,

a_1 represents the first term of the sequence,

n represents the position of the term in the sequence,

d represents the common difference between consecutive terms.

In this case, the first row has 23 boxes, so a_1 = 23. Additionally, each row has 2 fewer boxes than the row below, so the common difference is d = -2.

To find the number of boxes in the tenth row (n = 10), we substitute these values into the formula:

a_10 = 23 + (10 - 1) * (-2)

= 23 + 9 * (-2)

= 23 - 18

= 5

Therefore, the eleventh row will include 5 boxes.

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If Matt and Jan each create 10 gallons of punch, Jan uses 2 liters more orange juice as a result than Matt.

Using the unitary approach, an issue can be resolved by first figuring out the value of a single unit, then multiplying that value by the number of units needed to solve the problem. The unitary technique is sometimes useful for multiplying and dividing by fractions because it makes sense immediately and can be done mentally if the numbers add up. This makes it a good method for defending or explaining frequently employed written fractional algorithms, like division by a fraction. The unitary technique has a formula that involves finding the value of a single unit, multiplying it by the quantity of units, and then finding the desired value.

given

For his 10-gallon punch, Matt uses gallons of orange juice, which adds up to 3x=3*2 = 6.

Using the formula Jan uses gallons of orange juice to create 10 gallons of punch and Matt uses gallons of orange juice to make 10 gallons of punch, we can calculate that Jan uses 2 gallons more orange juice than Matt.

If Matt and Jan each create 10 gallons of punch, Jan uses 2 liters more orange juice as a result than Matt.

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Answer:

50miles/hour

Step-by-step explanation:

400/8 is 50.

The rate as a unit rate of 400 miles in 8 hours is 50 miles.

"The process of breaking down the cost to a smaller unit reveals the unit rate of the product. Since rate is a ratio that compares two different units."

Based on the given conditions,

Rate as a unit rate :

= \(\frac{400}{8}\)

Cross out the common factor

= 50 miles

Hence, the rate as a unit rate of 400 miles in 8 hours is 50 miles.

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Answer:

24.85 or rounded to 24.9

Step-by-step explanation:

Conversion

K H D____D C M

The number of miles did Tina ride when (1 mile ≈ 1.6 kilometers) so it should be considered as the 25 miles.

Since

By the end of Tina’s bike ride, she traveled a distance of 40 kilometers.

And we know that

1 mile ≈ 1.6 kilometers

So,

\(= 40 \div 1.6\)

= 25 miles

hence, The number of miles did Tina ride when (1 mile ≈ 1.6 kilometers) so it should be considered as the 25 miles.

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Answer:

The probability of tossing heads and rolling either a 5 or 6 is possible (or unlikely). This because the probability of tossing heads is 1/2 and the probability of rolling a 5 or 6 is 1/6 so combined would be unlikely.

Answer:

Perimeter of ABCD - Perimeter of PQRS = 4x + 2

Step-by-step explanation:

i. For rectangle ABCD;

length, l = 2x -3

width, w = 4x + 5

Perimeter of a rectangle = 2(l + w)

Perimeter of ABCD = 2((2x -3) + (4x + 5))

                                = 2(2x -3 + 4x + 5)

                                = 2(6x + 2)

Perimeter of ABCD = 12x + 4

ii. For rectangle PQRS;

length, l = x - 1

width, w = 3x + 2

Perimeter of a rectangle = 2(l + w)

Perimeter of PQRS = 2((x - 1) + (3x + 2))

                                = 2(x - 1 + 3x + 2)

                                = 2(4x + 1)

Perimeter of PQRS = 8x + 2

So that,

Perimeter of ABCD - Perimeter of PQRS = (12x + 4) - (8x + 2)

                                          = 12x + 4 - 8x - 2

                                          = 4x + 2

Perimeter of ABCD - Perimeter of PQRS = 4x + 2

The measure of ∠EFJ is 60°. Option B is the correct option.

What is a linear pair?

When two lines cross at one point, a linear pair of angles are created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. These are also referred to as supplementary angles.

∠EFG is a linear pair of angle.

This means ∠E F G = 180°

Given that ∠J F K = 90° and ∠E F J = 2∠K F G.

∠E F G is the sum of angles ∠E F J, ∠J F K  and ∠K F G

∠E F G = ∠E F J + ∠J F K + ∠K F G

Now putting the value of ∠E F G, ∠J F K

180° = ∠E F J +  90° + ∠K F G

Again putting ∠K F G = 1/2∠E F J:

180° = ∠E F J +  90° + 1/2∠E F J

180° -  90° = 3/2 ∠E F J

90° = 3/2 ∠E F J

∠E F J = 90° ×(2/3)

∠E F J = 60°.

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Answer:

The answer is option C.

Step-by-step explanation:

- 9x - 3 > 51

Group like terms

- 9x > 51 + 3

- 9x > 54

Divide both sides by -9

x < - 6

Hope this helps you

Answer:

The passenger train is traveling at 45 mph, and the freight train is traveling at 27 mph.

Step-by-step explanation:

Let's assume the speed of the passenger train is represented by x mph.

According to the given information, the freight train leaves the depot 2 hours before the passenger train. Therefore, when the passenger train starts, the freight train has already been traveling for 2 hours.

Let's represent the speed of the freight train as (x - 18) mph, which is 18 mph slower than the passenger train.

Now, we know that the passenger train overtakes the freight train in 3 hours. This means that the passenger train traveled for 3 hours, while the freight train traveled for 3 + 2 = 5 hours.

Since speed = distance/time, we can set up the following equation based on the distances covered by each train:

Distance covered by passenger train = Distance covered by freight train

Using the formula, distance = speed × time, we get:

x × 3 = (x - 18) × 5

Simplifying the equation:

3x = 5x - 90

90 = 5x - 3x

90 = 2x

Dividing both sides by 2:

45 = x

So, the speed of the passenger train is 45 mph.

The speed of the freight train is 45 - 18 = 27 mph.

Answer:

990 ft

Step-by-step explanation:

1 yard = 3 feet, using this we can multiply 140 by 3 to convert it from yards to feet.

140 yd * 3 = 420 ft.

Next, to find the perimeter we need to follow this formula:

l + l + w + w.

420 ft + 420 ft + 75 ft + 75 ft = 990 ft

The total distance that needs to be fenced in feet is;

990 ft.

Answer:

its 5

Step-by-step explanation:

f

dddd

Answer:

C. 101 3/4; $1017.50

Step-by-step explanation:

Correct on E2020!

Answer:

A line that is parallel to y = 3x - 9 will have the same slope as the given line. The slope of y = 3x - 9 is 3. Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point (1, 2)

Substituting the values we get:

y - 2 = 3(x - 1)

Simplifying the equation we get:

y - 2 = 3x - 3

y = 3x - 1

Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is y = 3x - 1 .

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The function has a maximum value of 1

Option D is the correct answer.

We have,

The y-coordinate on the graph is the function value.

Now,

From the graph of the function,

The maximum is at the point = (-2, 1)

This means,

1 is the maximum value.

And,

From the graph of the function,

The minimum value can be calculated because the graph is infinitely down the graph.

Thus,

The function has a maximum value of 1

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The inverse of the equation is determined as \(y = \log_{6}(-3x)\).

option D is the correct answer.

The inverse of the equation is calculated by applying the following method;

The given equation;

y = - 6ˣ/3

The inverse of the equation is calculated as;

multiply through by 3

\(-3x = 6^y\)

Take the logarithm of both sides of the equation with base -6:

\(\log_{6}(-3x) = y\)

Finally, replace y with x to obtain the inverse equation as follows;

\(y = \log_{6}(-3x)\)

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To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:

Refer to the attachment below.

There are three pairs of faces on a rectangular prism:

8 cm × 3 cm = 24 cm²

Since there are two of these faces, the total area is:

2 × 24 = 48 cm²

8 cm × 6 cm = 48 cm²

Since there are two of these faces, the total area is:

2 × 48 = 96 cm²

3 cm × 6 cm = 18 cm²

Since there are two of these faces, the total area is:

2 × 18 = 36 cm²

Now, add up the areas of all six faces:

Surface Area = 48 + 96 + 36 = 180 cm²

So, the surface area of the rectangular prism is 180 cm².

________________________________________________________

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Answer:

i might be wrong but 8 if not (2,8) if not sorry

Step-by-step explanation:

Answer:

Pay your loan payments on time, every time.

Step-by-step explanation:

The other answers either hurt or have no effect on your credit score.

The option 2 and 3 is right get a good credit score. Avoid the options 1 and 4.

To get a good credit score, you should follow these steps:

Pay your loan payments on time, every time: Timely payments are one of the most crucial factors in building a good credit score. Consistently paying your bills and loans on or before the due date shows lenders that you are a responsible borrower.

Don't apply for credit excessively: Each time you apply for new credit, a hard inquiry is made on your credit report, which can temporarily lower your score. Applying for multiple credit accounts in a short period may signal financial instability to lenders.

Avoid options 1 and 4:

Paying credit card and loan payments late: Late payments negatively impact your credit score and show a lack of responsibility in managing credit.

Going above your credit limit: Maxing out your credit cards or going above the credit limit can harm your credit score as it indicates a higher risk of defaulting on your debts.

Hence, the option 2 and 3 is right get a good credit score. Avoid the options 1 and 4.

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Answer:

Exact Form:

−64/5

Decimal Form:

−12.8

Mixed Number Form:

−12 4/5

Step-by-step explanation:

bc I used a calculator