To find the value of c when d = 10, we first need to determine the values of a and b. Given that b^a = 8, we know that 8 is the result of raising b to the power of a.
Since the question states that a and b are integers, there are a limited number of possibilities to consider. Let's examine the possible combinations of a and b that satisfy this equation: [tex]1^3 = 1 2^3 = 8 3^2 = 9[/tex](which is not 8) [tex]4^2 = 16[/tex] (which is not 8) [tex]5^1 = 5 6^1 = 6 7^1 = 7 8^1 = 8[/tex]From these calculations, we find that the only combination that satisfies the equation is a = 3 and b = 2. Now, let's consider the ratio of a to b and the ratio of c to d.
The ratio of a to b is a/b = 3/2. The question states that the ratio of a to b is equivalent to the ratio of c to d, which means: a/b = c/d Given that d = 10, we can substitute the value into the equation: [tex]3/2 = c/10[/tex] Next, we can cross-multiply to solve for c: [tex]3 * 10 = 2 * c 30 = 2[/tex] c Dividing both sides by 2, we get: c = 15 Therefore, when d = 10, the value of c is 15. In conclusion, when d = 10, the value of c is 15 based on the given equation and calculations.
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1.825 x 10^-4 write the following number in stand form (decimal).
Estimate 615-342 please help me
Mr. Potts, the college Pastry Chef, baked three apple pies, two blueberry pies, five cherry pies, and six key lime pies for the student fundraiser. What percent of the pies were apple?
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.
What is the approximate length of the diameter,d?
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
124,248-55,679 show me how you get this answer
Nancy withdrew $19 from her bank account to pay for markers write in integer to represent this situation
How many ways are there to select 6 students from a class of 25 to hold six different executive positions on a committee?
Four friends have decided to visit the art museum. Admission costs $5.75 per person. If x represents the total cost for the four friends to go to the museum, which equation is true?
A. $5.75 • x = 4
B. 4 • $5.75 = x
C. 4 + x = $5.75
D. 4 • x = $5.75
Answer:
B
Step-by-step explanation:
I just did a test
A dress is sold for $980 plus 15% GCT. what is the total cost of the dress
David has $425 worth of items in his shopping cart. He receives a discount of 30% for the items at the checkout. If he then has to pay an 8% sales tax, what is the final amount that David paid?
Something greater tha 1/2 yard but less than 5/8 yard??
Every 23 hour, Harris can sew 16 pair of jeans. What is Harris's rate in pairs of jeans per hour?
Find the total cost of 3.4 pounds of caramel nut clusters at $8.25 per pound and 5.2 pounds of chocolate covered cashews at $9.35 per pound.
Adam makes $632 gross income per week and has claimed four allowances. According to the table below, what is Adam’s net income after tax withholding? 2007-05-03-00-00_files/i0140000.jpg a. $99 b. $533 c. $731 d. $502
Answer:
The net income of the tax withholding $533 dollars.
Confirmed on R09.
I need help with this ....!!!!!
After eating a 100 calorie snack mark exercised to burn 100 calories show answer in number line
Selected from this population. find the probability that the sample mean is greater than 2.1 but less than 2.6.
if a population of scores is normally distributed, has a mean of 45 and a standard deviation of 6, the most extreme 5% of the scores lie beyond the score(s) of _________.
a. 35.13
c. 56.76 and 33.24
b. 45.99
d. 45.99 and 35.13
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.
Sarah washes cars at the car wash. She makes $8.25 per hour and earns $30 in tips per day. Give an expression that Sarah could use to calculate her daily earnings.
A) $8.25x + $30
B) $8.25 + $30
C) $8.25 - $30
D) $8.25 + $30x
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
Simplify 9 - 10
A:-19
B: -1
C: 1
D: 19
The base of the building is an equilateral triangle 180 meters on each side. The height of the prism is 25m. Find the height, of the triangular base.
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
List any restrictions on the domain for the equation [tex] \frac{x+9}{x+2} [/tex]
If the population decreases with a constant rate of change and the decrease is 7% in the first year, what will the town's population be in 6 years? (round to the nearest person)
19³ x 19³ =
1. 19 *exponent* 3
2. 19 *exponent* 4
3. 19 *exponent* 5
4. 19 *exponent* 6
--
Please help!!
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. How many boxes of juice are in the display?
The total number boxes of juice are 768 in the display.
What is the unitary method?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
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Bass - samples: the bass in clear lake have weights that are normally distributed with a mean of 2.1 pounds and a standard deviation of 0.9 pounds. (a) if you catch 3 random bass from clear lake, find the probability that the mean weight is less than 1.0 pound.
When you use the distance formula, you are building a(n) _____ whose hypotenuse connects two given points.
360 miles driven on 12 gallons of fuel; 270 miles driven on 9 gallons of fuel. Use ratios or rates are equivalent. Explain your reasoning. Show all your work.
Find the 75th derivative of y = cos(2x).
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).
Explanation: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).
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A correlation coefficient of .89 indicates that _____.
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.
Explanation: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.