The sphere shown has a radius of 3 yards. What is the approximate volume of the sphere? Use 3.14 to approximate pi.

Answer:

2

Step-by-step explanation:

The proportionality constant k is given by y/x

y/x = cost/ channels = 84/42 = 2

The constant is $2/ channel

Answer:

y= 2 x= 1

$84 divided by two is $42, which would mean mom is paying $2 per channel.

the volume of the apple would increase by ΔVtotal over the five-week period

The volume of the apple is directly proportional to the cube of its radius. Therefore, if the radius increases by 1/8 inch per week for five weeks, the total increase in radius would be 5/8 inches.

To calculate the change in volume, we can use the formula V = (4/3)πr^3.

Initially, let's assume the radius of the apple is r.

After the first week, the radius would be r + 1/8 inches. Therefore, the new volume would be:
\(V_1 = (4/3)\pi(r + 1/8)^3\)

To calculate the change in volume, we can subtract the initial volume from the new volume:

\(\DeltaV_1 = V_1 - V_0\)

where V0 is the initial volume of the apple.

Similarly, after the second week, the radius would be r + 2/8 inches, and the new volume would be:

\(V2 = (4/3)\pi(r + 2/8)^3\)

The change in volume after the second week would be:

ΔV2 = V2 - V1

We can repeat this process for the remaining three weeks and find the total change in volume by adding all the individual changes:

ΔVtotal = ΔV1 + ΔV2 + ΔV3 + ΔV4 + ΔV5

By simplifying this equation, we get:

\(\Delta V_{total }=  (4/3) \pi r^3[(r + 1/8)^3 + (r + 2/8)^3 + (r + 3/8)^3 + (r + 4/8)^3 + (r + 5/8)^3 - 5r^3]\)

Therefore, the volume of the apple would increase by ΔVtotal over the five-week period.

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The volume of the apple will increase by \((4/3)π[(r0 + 5/8)^3 - r0^3]\) during the five-week period.

Assuming that the apple is a perfect sphere, we can use the formula for the volume of a sphere:

\(V = (4/3)πr^3\)

where V is the volume of the sphere and r is the radius of the sphere.

Let's start by finding the initial volume of the apple. We are not given the initial radius, so let's assume it to be r0.

\(V0 = (4/3)πr0^3\)

After one week, the radius increases by 1/8 inch, so the new radius is r1 = r0 + 1/8. The new volume is:

\(V1 = (4/3)π(r0 + 1/8)^3\)

After two weeks, the radius increases by another 1/8 inch, so the new radius is r2 = r0 + 2/8. The new volume is:

\(V2 = (4/3)π(r0 + 2/8)^3\)

Similarly, after three weeks, the new radius is r3 = r0 + 3/8 and the new volume is:

\(V3 = (4/3)π(r0 + 3/8)^3\)

After four weeks, the new radius is r4 = r0 + 4/8 and the new volume is:

\(V4 = (4/3)π(r0 + 4/8)^3\)

Finally, after five weeks, the new radius is r5 = r0 + 5/8 and the new volume is:

\(V5 = (4/3)π(r0 + 5/8)^3\)

To find how the volume changes during the five-week period, we need to subtract the initial volume from the final volume:

ΔV = V5 - V0

\(ΔV = (4/3)π(r0 + 5/8)^3 - (4/3)πr0^3\)

Simplifying this expression, we get:

\(ΔV = (4/3)π[(r0 + 5/8)^3 - r0^3]\)

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Answer:

15 Calories per ounce

Step-by-step explanation:

180 divided by 12 is 15

To represent decimal values ranging from 0 to 12,500, we need 14 bits.

To determine the number of bits needed to represent decimal values ranging from 0 to 12,500, we need to find the smallest number of bits that can represent the largest value in this range, which is 12,500.

The binary representation of a decimal number requires log base 2 of the decimal number of bits. In this case, we can calculate log base 2 of 12,500 to find the minimum number of bits needed.

log2(12,500) ≈ 13.60

Since we can't have a fraction of a bit, we round up to the nearest whole number. Therefore, we need at least 14 bits to represent values ranging from 0 to 12,500.

Using 14 bits, we can represent decimal values from 0 to (2^14 - 1), which is 0 to 16,383. This range covers the values 0 to 12,500, fulfilling the requirement.

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Answer:

if no one answers pic b cuz i got good luck

Step-by-step explanation:

Answer:

Yes, the distance formula, which is the formula shown, is used to find the distance between two points.

Step-by-step explanation:

Average waiting time for FCFS: 8.75

Average waiting time for SJF: 4.75

To solve this scheduling problem using FCFS (First-Come, First-Served) and SJF (Shortest Job First) algorithms, let's go step by step:

Schedule order for FCFS:

The FCFS algorithm schedules processes based on their arrival time. So, the schedule order for FCFS is as follows:

Pl -> P2 -> P3 -> P4

Average waiting time for FCFS:

To compute the average waiting time for FCFS, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P2 | 3 | 10 | 3

P3 | 4 | 6 | 13

P4 | 5 | 1 | 19

Average waiting time = (0 + 3 + 13 + 19) / 4 = 8.75

Therefore, the average waiting time for FCFS is 8.75.

Schedule order for SJF:

The SJF algorithm schedules processes based on their running time. The process with the shortest running time gets executed first. If multiple processes have the same running time, the process with the earliest arrival time is selected first. The schedule order for SJF is as follows:

Pl -> P4 -> P3 -> P2

Average waiting time for SJF:

To compute the average waiting time for SJF, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P4 | 5 | 1 | 3

P3 | 4 | 6 | 6

P2 | 3 | 10 | 10

Average waiting time = (0 + 3 + 6 + 10) / 4 = 4.75

Therefore, the average waiting time for SJF is 4.75.

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Answer:

18

Step-by-step explanation:

remember parenthesis, always first then left to right so 6/2 is 3 +8 is 11 the x 22 is 22 then - 4 is 18 so your answer is 18

Answer:

z=1/4

Step-by-step explanation:

z-(1/5)=z(1/5)

z-(1/5)=z/5

5z-(5/5)=z

5z-1=z

-1=-4z

1/4=z

Therefore, z=1/4

The value of z for the given condition is given by 1/4.

Equation is a mathematical relation between more than one variable, number or mathematical quantities involving mathematical operations using equal sign in between them.

Here the given mathematical condition is that the difference of z and one fifth is the same as the product of z and one fifth.

One fifth is = 1/5

Difference between z and one fifth is given by = z-1/5

Product of z and one fifth is given by = z*(1/5) = z/5

So according to the condition the mathematical equation would be,

z-1/5 = z/5

z-z/5 = 1/5

(5z-z)/5 = 1/5

4z/5 = 1/5

4z = 5*(1/5)

4z = 1

z = 1/4

Hence the required value of z is 1/4.

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The reasons why we factor all the polynomials before multiplying rational expressions is;

To reduce a rational expression to its simplest form.

To ensure that the denominators are not 0.

A polynomial expression is defined as an expression having one or more terms in which the variable has non-negative integer powers.

We know that rational expressions usually have a polynomial numerator and a polynomial denominator. Now, in many events, these polynomials can be factored. Therefore, we can conclude that to reduce a rational expression to its simplest form, we have to factor the numerator and denominator, and cancel out any common factors between them. That's the reason why factoring is an important part of simplifying a rational expression.

Finally, we have to mindful about the values the final denominator of a rational expression can take, because such values must not be 0.

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a) the calculated t-value (2.344) is greater than the critical t-value (1.984), we reject the null hypothesis. b) The p-value associated with a t-value of 2.344 is approximately 0.010 (two-tailed test).

(a) To determine if the differences in average yearly reading growth between Program A and Program B are significant at a 5% level, we can conduct a two-sample t-test.

Let's define our null hypothesis (H0) as "there is no significant difference in average yearly reading growth between Program A and Program B" and the alternative hypothesis (H1) as "Program A leads to higher average yearly reading growth than Program B."

We have the following information:

For Program A:

Sample size (na) = 64

Sample mean (xA) = 1.2

Sample standard deviation (sA) = 0.26

For Program B:

Sample size (nb) = 100

Sample mean (xB) = 1.0

Sample standard deviation (sB) = 0.28

To calculate the test statistic, we use the formula:

t = (xA - xB) / sqrt((sA^2 / na) + (sB^2 / nb))

Substituting the values, we have:

t = (1.2 - 1.0) / sqrt((0.26^2 / 64) + (0.28^2 / 100))

t ≈ 2.344

Next, we determine the critical t-value corresponding to a 5% significance level and degrees of freedom (df) equal to the smaller sample size minus 1 (df = min(na-1, nb-1)). Using a t-table or statistical software, we find the critical t-value for a two-tailed test to be approximately ±1.984.

(b) To calculate the p-value, we compare the calculated t-value to the t-distribution. The p-value is the probability of observing a t-value as extreme as the one calculated, assuming the null hypothesis is true.

From the t-distribution with df = min(na-1, nb-1), we find the probability corresponding to a t-value of 2.344. This probability corresponds to the p-value.

(c) Based on the results of the hypothesis test, where we rejected the null hypothesis, we can conclude that there is evidence to suggest that Program A leads to higher average yearly reading growth compared to Program B.

(d) To calculate the probability of a Type II error (β), we need additional information such as the significance level (α) and the effect size. The effect size is defined as the difference in means divided by the standard deviation. In this case, the effect size is (xA - xB) / sqrt((sA^2 + sB^2) / 2).

Let's assume α = 0.05 and the effect size (xA - xB) / sqrt((sA^2 + sB^2) / 2) = 0.1. Using statistical software or a power calculator, we can calculate the probability of a Type II error (β) given these values.

Without the specific values of α and the effect size, we cannot provide an exact calculation for the probability of a Type II error. However, by increasing the sample size, we can generally reduce the probability of a Type II error.

In summary, the differences in average yearly reading growth between Program A and Program B are significant at a 5% level, suggesting that Program A leads to higher average yearly reading growth. The p-value of the test results is approximately 0.010. Based on these findings, it may be recommended to adopt Program A over Program B. The probability of a Type II error (β) cannot be calculated without specific values of α and the effect size.

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A the answer is a your welcome

Answer:

Step-by-step explanation:

the answer is 1.

It is because 2x1=2, and 11-2=9.

3x9=27.

Hope this helps!

Answer: 4. A 5. C 6. D

Step-by-step explanation: that’s it!!!!!!!!!!

The equation of the perpendicular bisector of the segment with endpoints (–1, 10) and (3, 6) is y = x + 7.

The equation for the perpendicular bisector of a segment with endpoints (–1, 10) and (3, 6) can be found by following these steps:

Step 1: Find the midpoint of the segment.

The midpoint is the average of the x-coordinates and the average of the y-coordinates of the endpoints.

The x-coordinate of the midpoint is: (-1 + 3) / 2 = 2 / 2 = 1.

The y-coordinate of the midpoint is: (10 + 6) / 2 = 16 / 2 = 8.

So, the midpoint is (1, 8).

Step 2: Find the slope of the segment. The slope can be calculated using the formula:

slope = (y2 - y1) / (x2 - x1),

where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

slope = (6 - 10) / (3 - (-1)) = -4 / 4 = -1.

Step 3: Find the negative reciprocal of the slope.

The negative reciprocal of -1 is 1.

Step 4: Use the point-slope form of a line to find the equation of the perpendicular bisector. The point-slope form is:

y - y1 = m(x - x1),

where (x1, y1) is the midpoint and m is the negative reciprocal of the slope.

Substituting the values, we have:

y - 8 = 1(x - 1).

Simplifying the equation, we get:

y - 8 = x - 1.

y = x - 1 + 8.

y = x + 7.

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The required probabilities are:P(Ahmad will score two baskets) = 8/25P(Ahmad will score at least one basket) = 18/25.

Given that Ahmad has two attempts to score a basket in basketball. He tries this in 25 times. The table shows the results-Basket scoredFrequency10 82 73 7The total number of trials is 25. Now, find the probability that Ahmad will score -Two baskets:P(Ahmad will score two baskets) = 8/25 (From the table, the frequency of Ahmad scoring two baskets is 8)At least one basket:

Here, we will find the probability of Ahmad scoring at least one basket. So, P(Ahmad will score at least one basket) = 1 - P(Ahmad will not score any basket)Now, P(Ahmad will not score any basket) = Frequency of 0 score/Total number of trials= 7/25Thus, P(Ahmad will score at least one basket) = 1 - 7/25= 18/25 (approx)So, the required probabilities are:P(Ahmad will score two baskets) = 8/25P(Ahmad will score at least one basket) = 18/25.

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The theoretical capacity of the roller coaster system  in number of passengers per hour at Treasure Island Amusement Park is 170 passengers per hour, based on 17 cars that carry two passengers each, with a run time of 5.5 minutes and load/unload time of 6.5 minutes.

The theoretical capacity of the roller coaster system in number of passengers per hour can be calculated as follows:

There are 17 cars, and each car can carry up to two passengers. So, the total number of passengers per run is 17 x 2 = 34.

Each run takes 5.5 minutes, and the time to unload and load riders is 6.5 minutes, for a total cycle time of 5.5 + 6.5 = 12 minutes.

To calculate the theoretical capacity in passengers per hour, we need to convert the cycle time to hours and then divide by the cycle time. There are 60 minutes in an hour, so the cycle time in hours is 12 / 60 = 0.2 hours.

The theoretical capacity in passengers per hour is then calculated as:

Capacity = (Number of passengers per run) x (Number of runs per hour)

To find the number of runs per hour, we need to divide the total available time per hour (60 minutes) by the cycle time:

Number of runs per hour = 60 / 12 = 5 runs per hour

Now we can calculate the theoretical capacity as:

Capacity = 34 x 5 = 170 passengers per hour

Rounding this down to the nearest whole number, we get the final answer:

The theoretical capacity of the roller coaster system in number of passengers per hour is 170.

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Answer : The integral value is: ∫∫sin(r^2) dr dθ = -π(cos(49) - cos(9))

Given:  we have 3 ≤ r ≤ 7.

The integral becomes: ∫∫sin(r^2) dr dθ

with r ranging from 3 to 7 and θ ranging from 0 to 2π.

Now we can evaluate the integral:

∫(0 to 2π) dθ ∫(3 to 7) r sin(r^2) dr

To solve the inner integral, we use substitution. Let u = r^2, so du = 2r dr.

Then: (1/2)∫(9 to 49) sin(u) du = [-(1/2)cos(u)](9 to 49) = -(1/2)[cos(49) - cos(9)]

Now, evaluate the outer integral:

∫(0 to 2π) [-(1/2)(cos(49) - cos(9))] dθ = -[(1/2)(cos(49) - cos(9))][θ](0 to 2π)

= -(1/2)(cos(49) - cos(9))(2π - 0) = -π(cos(49) - cos(9))

So the integral value is:

∫∫sin(r^2) dr dθ = -π(cos(49) - cos(9))

Answer:

$36.8

Step-by-step explanation:

Median can described as -

the middle observation when the data values are arranged in ascending order; the second quartile; and 50th percentile all.

Hence the correct option is (D).

Median of a data observations set is the middle point or middle value of the data set arranged in ascending or descending order.

Hence point (A) is correct.

50th percentile means the middle observation or the observation, after or before which equal number of observations lie.

So the point (B) is also correct.

A quartile means = 25 percentile

second quartile stands for = 25*2 = 50 percentile.

Hence point (C) is also correct.

Hence the best suited option is (D) all of the above.

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The question is incomplete. The complete question will be -

Answer:

1155.52cm²

Step-by-step explanation:

A cylinder's volume is π r² h, and its surface area is 2π r h + 2πr²

radius(r) = 8cm

π = 3.14

height(h) = 15

2πrh + 2πr²

=2πr(h + r)

= 2 × 3.14 × 8 ( 15 + 8)

= 50.24(23)

= 1155.52cm²

pls rate as brainliest

Answer:

he don't have the money

Step-by-step explanation:

5.79+7.63=13.42+3.46=16.88+2.99=19.87+3.65=23.52$

Answer:

does not. 5.79 + 7.63 + 3.46 +2.99 + 3.65 is equivalent to $23.52. And on top of that you don’t know if it’s before or after tax.

Step-by-step explanation:

Yes, for general problems, given an infinitely long time and sufficient exploration, it is possible for simulated annealing to find the global optimum solution.

Simulated annealing is a metaheuristic optimization algorithm that is particularly useful for solving optimization problems where finding the global optimum is challenging. It is inspired by the annealing process in metallurgy, where a material is heated and slowly cooled to achieve a low-energy crystalline state.

Simulated annealing uses a similar concept of gradually reducing the search space and accepting suboptimal solutions to escape local optima. By incorporating random moves and a cooling schedule, simulated annealing explores the solution space in a systematic manner, allowing it to potentially find the global optimum solution.

However, it's important to note that the time required to find the global optimum may be impractical for certain problems, and simulated annealing does not guarantee finding the global optimum in a finite amount of time. Nonetheless, given infinite time and sufficient exploration, simulated annealing has the potential to converge to the global optimum.

Yes, for general problems, given an infinitely long time and sufficient exploration, it is possible for simulated annealing to find the global optimum solution.

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James would need 3 3/4 cups of water for the three batches of brownies.

To determine the amount of water James needs for three batches of brownies, we need to multiply the amount of water used in one batch by the number of batches.

(Note: A solid line in all the diagrammed solutions denotes a division in cups, whereas a dashed line denotes a division in batches.)

112 cups of flour are needed to make a batch of cupcakes. How many cups are need for three batches?

One batch of brownies uses 1 1/4 cups of water, so for three batches, James would need:

1 1/4 cups * 3 = 3 3/4 cups

So, 3 3/4 cups of water will be required for three branches of brownie.

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Answer:

1.8$

Step-by-step explanation:

simply just say 21.6 divided by 12 (number of brownies) which equals to 1.8

so therefore the answer is 1.8$ for 1 brownie

Answer:

You would get paid $41.25 if you only worked 6 hours.

Step-by-step explanation:

In order to find the answer, first you have to find the amount you are paid per hour by dividing the amount paid per day by 8 hours:

$55/8=$6.875

Then, you have to multiply the amount per hour for 6 to determine the amount you would get paid if you only worked 6 hours:

$6.875*6=$41.25

According to this, the answer is that you would get paid $41.25 if you only worked 6 hours.

Answer:

28 grams

Step-by-step explanation:

8 x 3 = 24

24 + 4 = 28