For integer values of a and b, b^a = 8. The ratio of a to b is equivalent to the ratio of c to d, where c and d are integers. What is the value of c when d = 10?

Answer:

B

Step-by-step explanation:

I just did a test

The total number boxes of juice are 768 in the display.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that in each variety pack of fruit juice, there are 3 voxes of apple juice, 2 boxes of grape juice, and 1 box of orange juice.

In a display in the store, there are 16 cases of juice with 8 variety packs in each case therefore,

Each variety pack of fruit juice = 3 + 2 + 1 = 6 juice

8 variety packs = 8 x 6 = 48

Now, the total number boxes of juice are in the display

16 x 48

= 768

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

The correlation coefficient indicates the strength of the relationship between variables. The closer it is to 1, the stronger the relationship. If it is 0, there is no relationship.

The number portion of the correlation coefficient indicates the strength of the relationship. The closer the number is to 1 (be it negative or positive), the more strongly related the variables are, and the more predictable changes in one variable will be as the other variable changes. The closer the number is to zero, the weaker the relationship, and the less predictable the relationships between the variables becomes. For instance, a correlation coefficient of 0.9 indicates a far stronger relationship than a correlation coefficient of 0.3. If the variables are not related to one another at all, the correlation coefficient is 0.

The 75th derivative of y = cos(2x) can be found by dividing 75 by 4 to find the cycle it falls into due to the repeating pattern of cos and sin. Due to remainder 3 after division, the 75th derivative is equivalent to the 3rd derivative from the cycle, which is 8sin(2x), but scaled by 2 to the power of the number of completed cycles (18). This gives the final answer 2^18 * 8sin(2x).

The process of finding the 75th derivative of a function can seem daunting or time-consuming, but with functions like cosines and sines, we can rely on the cycling pattern of these functions to simplify the task. This will significantly decrease the amount of computational effort needed.

When you find the derivative of y = cos(2x), the function cycles in a pattern every four times. The first derivative of y = cos(2x) is -2sin(2x), the second derivative is -4cos(2x), the third derivative is 8sin(2x), and the fourth derivative is 16cos(2x). As you can see, we've returned to the original function (scaled by a factor of 16).

So to find the 75th derivative, divide 75 by 4 to get remainder of 3. This means the 75th derivative is the same as the 3rd derivative, but scaled by 2 to the power of the number of full cycles (which is 18). Hence, the 75th derivative of y = cos(2x) is 2^18 * 8sin(2x).

https://brainly.com/question/25752367

#SPJ11

Final answer:

To find the most extreme 5% of normally distributed scores with a mean of 45 and a standard deviation of 6, we look for scores beyond the z-score cut-offs corresponding to 2.5% and 97.5%. The z-score around 1.96 gives us two scores: 56.76 on the high end and 33.24 on the low end, indicating that answer 'c' is correct.

Explanation:

To determine the most extreme 5% of the scores in a normally distributed population with a mean of 45 and a standard deviation of 6, we need to find the z-score that corresponds to the tails of the distribution where the cumulative area is either less than 2.5% or greater than 97.5% (since 5% is split into two tails of the distribution).

Using a standard normal distribution table or a calculator, the z-score that corresponds to the upper 97.5% is typically about 1.96 (or sometimes 1.645 for a one-tailed test). To find the actual scores corresponding to these z-scores, we use the formula for transforming a z-score into an actual value which is:
X = μ + (z • σ)

For the upper extreme:
X = 45 + (1.96 • 6) = 56.76

For the lower extreme:
X = 45 - (1.96 • 6) = 33.24

Thus, the most extreme 5% of the scores lie beyond scores of 56.76 and 33.24. Therefore, the correct answer is c. 56.76 and 33.24.

Answer:

The diameter of the circle is 14in

Step-by-step explanation:

There is an equation that says: If you have the circumference (C) of a circle you can get the Diameter (d):

d=C/π(constant number)

In the problem you have C=44 in

Then:

π=3,1416

d=44in/3,1416

d=14in

The height of the triangular base is  155.46 m.

To find the height of the equilateral triangle base of the prism, we'll first determine the height of one of its constituent triangles.

The height ( h ) of an equilateral triangle is given by [tex]\( h = \sqrt{3}/2 \times \text{side length} \).[/tex]

Calculate the height of one triangle:

[tex]\[ h = \frac{\sqrt{3}}{2} \times 180 \, \text{m} = \frac{\sqrt{3} \times 180}{2} = \frac{180\sqrt{3}}{2} = 90\sqrt{3} \, \text{m} \][/tex]

Calculate the total height of the prism:

The height of the prism is given as 25 m.

Calculate the total height:

Total height = height of one triangle + height of the prism

[tex]\[ \text{Total height} = 90\sqrt{3} \, \text{m} + 25 \, \text{m} = 90\sqrt{3} + 25 \, \text{m} = 155.46 \, \text{m} \][/tex]

So, the height of the triangular base is  155.46 m

you would need to multiply 8.25 by the number of hours worked (x) and then add the tips

 so it would be A. 8.25x+30

Answer:

18.75%

Step-by-step explanation:

Mr. Potts, the college Pastry Chef baked pies for the student fundraiser.

He baked apple pies = 3

Blueberry pies = 2

Cherry pies = 5

Key lime pies = 6

We have to calculate the percentage of the apple pies.

Total number of pies that he baked =  3 + 2 + 5 + 6 = 16 pies

Percentage of Apple pies = [tex]\frac{3}{16}[/tex] × 100

                                           = 0.1875 × 100

                                           = 18.75%

18.75% was apple pie.

Answer:

The net income of the tax withholding $533 dollars.

Confirmed on R09.