I know the answer, but I just wanna know if the answer I got was right or wrong, if I'm wrong help down please

The amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes is calculated to be approximately 6.58 gallons.

Assuming the unit rate of 1 gallon per 18.25 minutes, we can convert 2 hours to minutes by multiplying it by 60, which gives us 120 minutes.

So, in 120 minutes, the amount of liquid that can be processed at a unit rate of 1 gallon per 18.25 minutes would be:

(120 minutes) / (18.25 minutes/gallon) = 6.58 gallons

Therefore, the amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes is found out to be  approximately 6.58 gallons.

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The complete question is :

What is the amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes?

Answer:

C, D and F

C, D and F

C,D and F

To find the image for each given value of k, we need to multiply the original volume (100 cubic units) by the scale factor (k).

Volume is a measure of the amount of space occupied by an object or substance. It is expressed as a numerical value, usually in cubic units, such as milliliters (mL) or cubic centimeters (cc). It is also used to measure the capacity of a container, such as a bottle, or a tank.

Dilation is a transformation that changes the size of a shape. When a solid is dilated by a scale factor of k, the new solid will be k times larger than the original solid. For example, if a solid has a volume of 100 cubic units and is dilated by a scale factor of 2, the image solid will have a volume of 200 cubic units (2 x 100).

To find the image for each given value of k, we need to multiply the original volume of the solid (100 cubic units) by the scale factor (k). We can use the equation V = kV0, where V0 is the original volume and V is the new volume, to calculate the new volume of the solid.

For example, if k = 3, the new volume will be 3 x 100 = 300 cubic units. If k = 4, the new volume will be 4 x 100 = 400 cubic units. In general, for any given value of k, the new volume will be k times the original volume.

To summarize, when a solid with a volume of 100 cubic units is dilated by a scale factor of k, the image solid will have a volume of k times the original volume (V = kV0). Therefore, to find the image for each given value of k, we need to multiply the original volume (100 cubic units) by the scale factor (k).

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Answer:

89.0857

Step-by-step explanation:

Hope this helps! Have a great day!!

Question:

please tell me what 16/7+86.8 is

Answer:

89.08571429

Simplified version:

89.08

Step-by-step explanation:

So you have the fraction:

16 over 7

And you have your whole number/decimal:

86.8

What you would do is:

So your broken down fraction should have the numbers in this specific order: 2.28571429

Add the two number together: (Add 2.28571429 and 86.8)

You would start at the end of your problem

9 + 0 = 9

2 + 0 = 2

4 + 0 = 4

1 + 0 = 1

7 + 0 = 7

5 + 0 = 5

8 + 0 = 8

2 + 8 = 10

2 + 86 = 88 + 1 (From the 10) = 89

So, to conclude, 16/7 + 86.8 = 89.08571429

Then, simplified it is: 89.08 or 89.0/89

If you need to simplify to only one digit after the decimal, the answer would be 89

If you are wondering why then the reason why you wouldn't add the .0 is because you never add the .0 at the end. If your answer is 89.08 then you cannot take away that 0 because you only take away the 0 if its at the end of your answer.

(Examples.)

X for Don't take away 0

\(\sqrt\) for Take away 0

89.08 X

37.30 \(\sqrt\)

12.6802 X

15.670 \(\sqrt\)

16.05 X

15.50 \(\sqrt\)

6.903 X

And so on.

Samuel pay 5.81 for the 3 bottles of juice.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

Samuel buys 3 bottles of juice that each have an original price of 2.80.

And, He uses a coupon for 35% off. Then, he is changed sales tax at a rate of 6.5%.

Here, The original cost of 3 bottles of juice = 3 × 2.80

                                                                  = 8.40

Now, He uses a coupon for 35% off.

Hence, The off price = 35% of 8.40

                               = 35/100 × 8.40

                               = 2.94

So, The amount of 3 bottles of juice = 8.40 - 2.94

                                                       = 5.46

And, He is changed sales tax at a rate of 6.5%.

Thus, The sales tax on bottles = 6.5% of 5.46

                                              = 6.5/100 × 5.46

                                              = 0.35

Thus, The actual amount of 3 bottles of juice = 5.46 + 0.35

                                                                    = 5.81

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The average rate of change for the interval from x=9 to x=10 is 39366

The standard exponential equation is given as y = ab^x

From the values of the average change, you can see that it is increasing geometrically as shown;

2, 6, 18...

In order to , find the average rate of change for the interval from x=9 to x=10, we need to find the 10 term of the sequence using the nth term of the sequence;

Tn = ar^n-1

Given the following

a = 2

r = 3

n = 10

Substitute

T10 = 2(3)^10-1
T10 = 2(3)^9
T10 = 39366

Hence the  average rate of change for the interval from x=9 to x=10 is 39366

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Answer:

39,366

Step-by-step explanation:

its right

The first integer = x

The second integer = x + 1

The third integer = x + 2

The fourth integer = x + 3

The fifth integer = x + 4

Since they all add up to 5, let's set them equal to 5

x + x + 1 + x + 2 + x + 3 + x + 4 = 5

Combine like terms

5x + 10 = 5

Subtract 10 from both sides

5x = -5

Divide each side by 5

x = -1

The first integer = x = -1

The second integer = x + 1 = -1 + 1 = 0

The third integer = x + 2 = -1 + 2 = 1

The fourth integer = x + 3 = -1 + 3 = 2

The fifth integer = x + 4 = -1 + 4 = 3

We can check this by adding all the integers together and making sure we get 5

3 + 2 + 1 + 0 - 1 = 5

Answer:

0

Step-by-step explanation:

If the sum of the integers is 5, then the arithmetic mean of the integers is \($\frac{5}{5}=1$\) .  In five consecutive integers, the arithmetic mean is equal to the middle integer, which means the integers are -1, 0, 1, 2, 3 and the product is \($\boxed{0}$\).

Hope this helped! :)

The converse of "If it rains, then they cancel school" is "If they cancel school, then it rains."

Converse is a statement obtained by reversing the implication (conditional statement). Simply put, conversion is the opposite of implication. For example, an implication has the formula p→q, then the conversion is the opposite, namely q→p. To understand it better, here is an example conversion.

1 Implication: If Sam is thirsty, then Sam drinks. Conversation: If Sam drinks, then Sam is thirsty.

Implication: If the road is wet, then it rained last night. Conversation: If it rained last night, then the streets are wet.

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From the question, we can derive the following?

1 1/3 cups of milk to one cup of flour.

We should find the quantity of flour that will be needed if 2 1/3 cups of milk is used.

Let x be the unknown quantity of flour use.

1 1/3 = 4/3

2 1/3 = 7/3

4/3 ---------- 1

7/3 ---------- x

Lets cross multiply:

4/3 * x = 7/3 * 1

4/3x = 7/3

Divide both sides by 4/3

x = 7/3

4/3

x = 7/3 * 3/4

The 3 cancels out:

x = 7/4

x = 1 3/4

Therefore, the quantity of flour needed for a 2 1/3 cups of milk is 1 3/4.

Answer: Option D

Step-by-step explanation:

The margin of error would be larger, since a decrease in the sample size will increase the standard error. As the sample size decreases, the amount of error that can be expected in the sample estimate increases.

The margin of error would be larger, since a decrease in the sample size will increase the standard error. As the sample size decreases, the amount of error that can be expected in the sample estimate increases.Therefore, the margin of error would increase as well, indicating that the results are less precise and less reliable.
Hi! If the sample size were 85 rather than 100, the margin of error would be larger. This is because a decrease in the sample size will increase the standard error, resulting in a larger margin of error.

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The interest rate is approximately 0.0403, or 4.03% (rounded to two decimal places).

To calculate the interest rate on the investment, we can use the formula for compound interest: A = P * (1 + r)^n

Where:

A is the future value of the investment ($1,680)

P is the initial principal ($1,500)

r is the interest rate

n is the number of compounding periods (3 years)

Rearranging the formula, we can solve for r:

r = (A/P)^(1/n) - 1

Plugging in the values:

r = (1680/1500)^(1/3) - 1

= 1.12^(1/3) - 1

≈ 0.0403

The interest rate is approximately 0.0403, or 4.03% (rounded to two decimal places).

Therefore, the correct answer is:

C) 4.0 percent

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For n ≥ 459, Algorithm A is better than Algorithm B when B uses n√n operations.

To determine the value of n₀ for which Algorithm A is better than Algorithm B when B uses n√n operations, we need to find the point at which the number of operations for Algorithm A is less than the number of operations for Algorithm B.

Algorithm A: 10n log n operations

Algorithm B: n√n operations

Let's set up the inequality and solve for n₀:

10n log n < n√n

Dividing both sides by n gives:

10 log n < √n

Squaring both sides to eliminate the square root gives:

100 (log n)² < n

To solve this inequality, we can use trial and error or graph the functions to find the intersection point. After calculating, we find that n₀ is approximately 459. Therefore, For n ≥ 459, Algorithm A is better than Algorithm B when B uses n√n operations.

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R-1.3: For \($n \geq 14$\), Algorithm A is better than Algorithm B when B uses \($n^2$\) operations.

R-1.4: Algorithm A is always better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

R-1.3:

Algorithm A: \($10n \log n$\) operations

Algorithm B: \($n^2$\) operations

We want to determine the value of \($n_0$\) such that Algorithm A is better than Algorithm B for \($n \geq n_0$\).

We need to compare the growth rates:

\($10n \log n < n^2$\)

\($10 \log n < n$\)

\($\log n < \frac{n}{10}$\)

To solve this inequality, we can plot the graphs of \($y = \log n$\) and \($y = \frac{n}{10}$\) and find the point of intersection.

By observing the graphs, we can see that the two functions intersect at \($n \approx 14$\). Therefore, for \($n \geq 14$\), Algorithm A is better than Algorithm B.

R-1.4:

Algorithm A: \($10n \log n$\) operations

Algorithm B: \($n\sqrt{n}$\) operations

We want to determine the value of \($n_0$\) such that Algorithm A is better than Algorithm B for \($n \geq n_0$\).

We need to compare the growth rates:

\($10n \log n < n\sqrt{n}$\)

\($10 \log n < \sqrt{n}$\)

\($(10 \log n)^2 < n$\)

\($100 \log^2 n < n$\)

To solve this inequality, we can use numerical methods or make an approximation. By observing the inequality, we can see that the left-hand side \($(100 \log^2 n)$\) grows much slower than the right-hand side \($(n)$\) for large values of \($n$\).

Therefore, we can approximate that:

\($100 \log^2 n < n$\)

For large values of \($n$\), the left-hand side is negligible compared to the right-hand side. Hence, for \($n \geq 1$\), Algorithm A is better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

So, for R-1.4, the value of \($n_0$\) is 1, meaning Algorithm A is always better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

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Answer:

Im not sure but go with 24

exterior angle = sum of its opposite interior angles

Which means :-

\(x + 21 + 63 = 3x\)

\(21 + 63 = 3x - x\)

\(21 + 63 = 2x\)

\(84 = 2x\)

\(2x = 84\)

\(x = 84 \div 2\)

\(x = 42°\)

Therefore , the correct option is :-

Answer: 77

Step-by-step explanation: If this is a triangle, you would use base times height divided by 2 to find the area. So if the base and the height are 11 and 14, you would do 11x14=154. Than 154/2 and you would get 77.

Answer: 3

Step-by-step explanation:

We can solve this problem by recognizing that z is the geometric mean of 9 and 9+4. This property is outlined in the following formula:

\(\frac{hypotenuse}{leg}=\frac{leg}{part}\)

where hypotenuse is the longest side of the triangle, leg is the side of the triangle we are calculating for, and part is the part of the hypotenuse on the side of the leg.

Here, the hypotenuse is 13, or 4 + 9. The leg is z, as it is the side of the triangle we are trying to find. Finally, the part is 9. It is the part of the hypotenuse that is on the side of the leg.

Let's plug in these values:

\(\frac{13}{z}=\frac{z}{9}\\117=z^2\\z=\sqrt{117}\)

117 is the product of 9 and 13. Since 9 is a perfect square, we can take it out from the square root.

\(z=\sqrt{9*13}\\z=\sqrt{9}*\sqrt{13}\\z=3\sqrt{13}\)

The "?" must be a 3.

The values of a and b in the equations are 100 each

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =

The given equations are

a. 5x²/2 when x = 10

By substitution, a= 5(10)²/2

This implies that a=( 5 * 100)/2

a= 200/2 = 100

b = [2x²(x-5)]/10x

Substituting x=10 in the equation we have

b = 2*10²(10-5)]/[10(10)]

200(5)/100

b= 10000/100

Therefore b = 100

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The level of measurement that is appropriate for a classification where students are asked to rank their professors as good, average, or poor is the ordinal level of measurement.

Ordinal level of measurement is a statistical measurement level.

It involves dividing data into ordered categories.

For instance, when asked to rank teachers as good, average, or poor, the students' rating of the teachers falls under the ordinal level of measurement.

The fundamental characteristic of ordinal data is that it can be sorted in an increasing or decreasing order.

The numerical values of the categories are not comparable; instead, the categories are arranged in a specific order.

The ordinal level of measurement, for example, provides the order of the data but not the size of the intervals between the ordered values or categories.

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Answer:

Is this correct

Answer:

\(2m\)

Step-by-step explanation:

Alrighty let's do this.

We know that formula for the Area of a triangle is:

\(A = \frac{1}{2}bh\)

They give us the area as \(6m^2\), so let's include it in the equation.

\(6 = \frac{1}{2}bh\)

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that \(h = b-4\)

So replace \(h\) in the equation with \(b-4\).

You will now get:

\(6 = \frac{1}{2}b(b-4)\)

Now we can work towards solving. Let's get simplifying.

\(12 = b(b-4)\\12 = b^2 - 4b\\\)

bring everything to one side so we can make a quadratic and factor:

\(0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2\)

We get that \(b=6\).

Since we need the height of the triangle we'll need to call back on what h is. We found earlier that \(h = b - 4\), so to find h, we just sub in our b value into that.

\(h = (6) - 4 = 2\)

We find that \(h=2\)

Answer:

• \(x\) = 42°

• \(y\) = 74°  

• \(z\) = 114°

Step-by-step explanation:

To solve these problems, we have to use the triangle sum theorem, which states that "the sum of all the interior angles of a triangle is 180°".

A)

\(x\) + 90° + 48° = 180°

⇒ \(x\)  + 138° = 180°

⇒ \(x\) + 138° - 138° = 180° - 138°      [Subtracting 138° from both sides]

⇒ \(x\) = 42°

B)

The triangle in this question is an isosceles triangle, therefore the two angles at the base of the triangle are equal and have measures of \(y\).

\(y\) + \(y\) + 32° = 180°

⇒ 2\(y\) + 32° = 180°

⇒ 2\(y\) = 180° - 32°

⇒ 2\(y\) = 148°

⇒ \(\frac{2}{2} y\) = \(\frac{148^{\circ}}{2}\)             [Dividing both sides by 2]

⇒ \(y\) = 74°                    

C)

\(z\) + 28° + 38° = 180°

⇒ \(z\) + 66 = 180°

⇒ \(z\)  = 180° - 66°

⇒ \(z\) = 114°

Step-by-step explanation:

i belive it would be 54 degrees. hope this helped

x = 25°

Hi !

We know  : the sum of the measures of any triangle is 180 degrees.

A + B + C = 180°

(3x - 13) + (2x + 4) + (180 - 116) = 180

5x - 13 + 4 + 64 = 180

5x = 180 - 64 - 4 + 13

5x = 125

x = 125 : 5

x = 25°

Good luck !

Answer:

C= 65.5°

D= 114.1°

Step-by-step explanation:

5x - 6 + 7x +14 = 180

5x + 7x + 14 - 6 = 180

12x + 8 = 180

- 8 - 8

12x = 180

12x/12 = 180/12

x = 14.3

C= 5x - 6

5(14.3)-6

71.5 - 6

C=65.5°

D= 7x + 14

7(14.3) + 14

100.1 + 14

D= 114.1°

65.5 + 114.1 = 179.6°

When this is rounded up, you will get 180°

Hope this helps!

Answer:

Area is 200.96 square units

Step-by-step explanation:

Formula for area of a circle:

\(area = \pi {r}^{2} \)

but radius, r = diameter, d÷2

• r = d/2

\(area = \pi {( \frac{d}{2}) }^{2} \\ \\ area = \pi( \frac{16}{2} ) {}^{2} \\ \\ area = 3.14 \times 64 \\ \\ area = 200.96\)

Answer:

x= 4

y= 9

so in that case (x,y) would be (4,9)

then you go down to the x axis and go to 4.

then you go up 9 and that is your first point

same thing for the rest of them so it would be (6,3)

(1,3)

(8,7)

(8,9)

Let x be the number of laps Jada plans to swim.

According to the problem, 4 laps is 2/5 of the number of laps she plans to swim, so we can write:

4 = 2/5 * x

To solve for x, we can first multiply both sides by the reciprocal of 2/5, which is 5/2:

4 * 5/2 = x

Simplifying the left side:

10 = x

Therefore, Jada plans to swim 10 laps.

By understanding the property of circles, it can be concluded that the measurement of dimension A is 1 1/4".

Circle is a geometric shape in which all the constituent points are at a certain distance from the center point. A circle has a diameter that shows the maximum distance between any two points of the circle. Whilst the radius is half the diameter.

Now we take a look at the picture thoroughly.

The width of the manufactured part =

the diameter of the circle on the far left = 2 * the radius

                                                                  = 2 * 1"

                                                                  = 2"

This value is equal to the sum of A, the radius of the circle at the very bottom (1/2"), and the space between this circle and the edge (1/4"). We write it down mathematically:

2" = A + 1/2'' + 1/4''

2" = A + 3/4"

A = 2" - 3/4"

  = 1 1/4"

Thus the measurement of dimension A is 1 1/4".

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Answer:

y = 15x + 8

Step-by-step explanation:

Hey there!

15x represents 15 times how many ever pizzas you order and 8 is for the delivery cost.

Hope this helps!

Answer:

X and y are the variables

Isnt?

Answer:

wait is the problem your asking (5x^(2)y^(4))^(3)? (^ means exponent)

if it is then the answer is 125x 6 y 12

(6y12 exponents)

Step-by-step explanation:

Let the number of professors be x.

If there are 16 times as many students as professors, then the number of students will be:

If the number of students and professors is 42,500, then we have that:

Solving by dividing both sides by 17, we have:

Hence, we can calculate the number of students in the college to be:

Therefore, there are 40,000 students in the college.