Ali and billy ran around a race track. How many more metres did Ali ran than billy in one lap? (Find perimeter)

The height of the cylinder is 5 m.

The surface area of a cylinder is \(28 \pi m^{2}\).

The total surface area of a cylinder is equal to the sum of the areas of all its faces. The total surface area with radius ‘r’, and height ‘h’ is equal to the sum of the curved area and circular areas of the cylinder.

Let's call the height of the cylinder "h". The surface area of a cylinder can be calculated as

Where r is the radius of the base.

Since the diameter of the base is 4 meters, the radius is 4/2 = 2 meters.

We know the surface area of the cylinder is \(28 \pi m^{2}\), so we can use this information to find h:

⇒\(28 \pi = 2 \pi(2)h + 2 \pi(2)^{2}\)

Expanding and simplifying the equation:

⇒28π = 4πh + 8π

Subtracting 8π from both sides:

⇒20π = 4πh

Dividing both sides by 4π:

⇒h = 5

Therefore, the height of the cylinder is 5 meters.

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The density of 2.4kg of muscle that occupies 30cm^3 of space is approximately 80g/cm^3.

The density of an object can be calculated using the formula: density = mass/volume. In this case, the mass of the muscle is 2.4 kg and the volume it occupies is 30 cm³. To find the density, simply divide the mass by the volume:

Density = (2.4 kg) / (30 cm³)

Density ≈ 0.08 kg/cm³

So, the density of the 2.4 kg muscle occupying 30 cm³ of space is approximately 0.08 kg/cm³. The density of an object can be calculated using the formula: density = mass/volume. The density of 2.4kg of muscle that occupies 30cm^3 of space is approximately 80g/cm^3.

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Answer:

I think its 3 out of 7

Answers:

Blue to green - 3:4

Blue to total - 6:25

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Answer:

649 inches cubed or in^3

Step-by-step explanation:

multiply all 3

so 12 x 6 x 9 =

648

Anaiah currently spending  $150 on these goods

*He is not spending his entire income  

*His marginal utility per dollar spent is not the same for both goods

What is unit rate?

A unit rate is the cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

consumption of eggplant

= 20 price of eggplant

= 3

consumption of kiwi is

= 30 price of eggplant

= 3

Formula:

Spending

= price of eggplant*consumption of eggplant + price of kiwi*consumption of kiwi

= 3*20+3*30

= 150

Utility per one dollar spent on the 20th eggplant

=  160

Marginal utility per dollar spent on the 30th kiwi

= 190 utils.

Note that y 160<190

Currently spending= 150

& budget = 180

150<180

According theory of choice consumer need the maximize the utility so answer is

Answer -:

*He is not spending his entire income

*His marginal utility per dollar spent is not the same for both goods

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Using proportions, it is found that the correct time when it reads 10:30pm is of 9:40 pm.

A proportion is a fraction of total amount, and the measures are related using a rule of three.

In this problem, when 56 minutes have passed, the clock indicates that 60 minutes have passed. Hence, what is the time passed when the clock indicates that 12 hours and 30 minutes, that is, 60 x 12 + 30 = 750 minutes have passed?

Hence, the rule of three is:

56 minutes - 60 minutes

x minutes - 750 minutes

Applying cross multiplication:

\(60x = 56 \times 750\)

\(x = \frac{56 \times 750}{60}\)

\(x = 700\)

700 minutes is 660/60 = 11 hours + 40 minutes after 10:00 am, hence the correct time is of 9:40 pm.

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Answer:

The area of the rhombus is 25.

Step-by-step explanation:

The formula for finding the area of a rhombus is:

A = pq/2

So, the p is the length, and the q is the width.

5 x 10/2 = 25.

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Answer:

To shift the graph of the function f(x) = cos(x) downward by 2.5 units, you can subtract 2.5 from the function. The equation of the middle for the shifted function would be:

f(x) = cos(x) - 2.5

Answer:

y=-2.5

Step-by-step explanation:

f(x) =0 -2.5

y=-2.5

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peace ️

Answer:

it most likely is the answer B

The percent rate of return on the stock in year five is -2.4 percent calculated by subtracting the sum of the returns for the first four years from the arithmetic average return over the past five years.

To find the percent rate of return on the stock in year five, we need to subtract the sum of the returns for the first four years from the arithmetic average return over the past five years.The arithmetic average return over the past five years is given as 8.6 percent. To calculate the sum of the returns for the first four years, we add the returns for each year:

16 + 11 - 19 + 3 = 11 percent.

Next, we subtract the sum of the returns for the first four years (11 percent) from the arithmetic average return (8.6 percent) to find the return percentage for the fifth year:

8.6 percent - 11 percent = -2.4 percent.

Therefore, the percent rate of return on the stock in year five is -2.4 percent. This negative value indicates a loss or decline in the stock's value during that year.

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Answer: x = -1

Step-by-step explanation:

    To solve this equation, we will isolate the variable x.

Given:

    5x - (-3x - 10) =2

Distribute the -1:

    5x + 3x + 10 =2

Combine like terms with addition:

    8x + 10 = 2

Subtract 10 from both sides of the equation:

    8x = -8

Divide both sides of the equation by 8:

    x = -1

"the probability that a student plays video games given that the student is female." is an example of a conditional probability.The correct answer is option C.

A conditional probability is a probability that is based on certain conditions or events occurring. Out of the options provided, option C is an example of a conditional probability: "the probability that a student plays video games given that the student is female."

Conditional probability involves determining the likelihood of an event happening given that another event has already occurred. In this case, the event is a student playing video games, and the condition is that the student is female.

The probability of a female student playing video games may differ from the overall probability of any student playing video games because it is based on a specific subset of the population (female students).

To calculate this conditional probability, you would divide the number of female students who play video games by the total number of female students.

This allows you to focus solely on the subset of female students and determine the likelihood of them playing video games.

In summary, option C is an example of a conditional probability as it involves determining the probability of a specific event (playing video games) given that a condition (being a female student) is satisfied.

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If he left home 50 minutes before the class started he was 53.7 minutes late for his class.

Given that,

Speed of the bike = 16 feet per second = 10.9091 miles/hour

Distance from home to bus stop = 5 miles

Total time taken to reach bus stop = distance/ speed = 5 miles/10.9091 miles/hour= 0.458 hours = 27.5 minutes

Then, speed of the bus = 25 miles per hour

Distance from bus stop to campus = 25 miles

Total time taken to reach campus = distance/ speed = 25 miles/25 miles/hour= 1 hour= 60 minutes

Then, speed of the bike = 16 feet per second = 10.9091 miles/hour

Distance from campus to bike rack = 480 yards =  0.2727 miles

Total time taken to reach bike rack = distance/ speed = 0.2727 miles/ 10.9091 miles/hour= 0.249 hour= 15 minutes (approximately)

Then, the Speed of walking = 2.5 miles per hour

Distance from bike rack to class = 250 feet =  0.047 miles

Total time taken to reach class = distance/ speed = 0.047 miles/ 2.5 miles/hour= 0.0188 hour= 1.2 minutes (approximately)

Thus, total time taken to reach class = 27.5 minutes+60 minutes+15 minutes+1.2 minutes = 103.7 minutes
Therefore, If he left home 50 minutes before the class started he was 53.7 minutes late for his class.

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Answer:

The movie ended at 2:45

Step-by-step explanation:

If you add the 10 with the 35 then it makes 45 and 1+1 =2 so if you add 2 with 45 it makes 2:45

Using implicit differentiation, it is found that cylinder B has the larger radius.

The volume of a cylinder of radius r and height h is given by:

\(V = \pi r^2h\)

Applying implicit differentiation, the rate of change is given by:

\(\frac{dV}{dt} = \pi\left(2rh\frac{dr}{dt} + r^2\frac{dh}{dt}\right)\)

The rate of change of the height is given by:

\(r^2\pi\frac{dh}{dt} = \frac{dV}{dt} - 2rh\pi\frac{dr}{dt}\)

\(\frac{dh}{dt} = \frac{1}{r^2}{\pi}\left(\frac{dV}{dt} - 2rh\pi\frac{dr}{dt}\right)\)

That is, a larger radius leads to a smaller rate of change of the height, hence from the graph cylinder B has the larger radius.

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Using a trigonometric identity, it is found that the secant and the cotangent of the angles are given as follows:

The following identity is used, considering an angle \(\theta\).

\(\sin^2{\theta} + \cos^2{\theta} = 1\)

In this problem we are given the sine, then the cosine can be found as follows:

\(\left(-frac{5}{8}\right)^2 + \cos^2{\theta} = 1\)

\(\cos^2{\theta} = 1 - \frac{25}{64}\)

\(\cos^2{\theta} = \frac{39}{64}\)

\(\cos{\theta} = \pm \sqrt{\frac{39}{64}}\)

In the fourth quadrant, the cosine is positive, hence:

\(\cos{\theta} = \frac{\sqrt{39}}{8}\).

The secant of an angle \(\theta\) is one divided by the cosine of the angle, hence:

\(\sec{\theta} = \frac{1}{\cos{\theta}} = \frac{1}{\frac{\sqrt{39}}{8}} = \frac{8}{\sqrt{39}} \times \frac{\sqrt{39}}{\sqrt{39}} = \frac{8\sqrt{39}}{39}\)

The cotangent of an angle \(\theta\) is the cosine divided by the sine of the angle, hence:

\(\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}} = \frac{\frac{\sqrt{39}}{8}}{-\frac{5}{8}} = -\frac{\sqrt{39}}{5}\)

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Answer:

Rate per day: 6 rooms

estimate: 6*5 = 30 rooms

Answer:

No

Step-by-step explanation:

Answer:

I believe it would be 4,3 not sure though

Step-by-step explanation:

Answer:

The answer would be 4,3

Step-by-step explanation:

Graph the points on a graphing calculator, that should help when you need to find diagonals

a. Using the Empirical Rule, we can say that 95% of NBA point guards are between approximately 67.18 inches and 82.02 inches tall.

b. In order to use the Empirical Rule, we assume that the histogram of NBA point guards' average heights is shaped like a normal distribution (bell-shaped).

a. Using the Empirical Rule, we can determine the range within which 95% of NBA point guards' heights would fall. According to the Empirical Rule, for a normally distributed data set:

- Approximately 68% of the data falls within one standard deviation of the mean.

- Approximately 95% of the data falls within two standard deviations of the mean.

- Approximately 99.7% of the data falls within three standard deviations of the mean.

Since the average height of NBA point guards is 74.6 inches with a standard deviation of 3.71 inches, we can use this information to calculate the range:

Mean ± (2 * Standard Deviation)

74.6 ± (2 * 3.71)

The lower bound of the range would be:

74.6 - (2 * 3.71) = 74.6 - 7.42 = 67.18 inches

The upper bound of the range would be:

74.6 + (2 * 3.71) = 74.6 + 7.42 = 82.02 inches

Therefore, using the Empirical Rule, we can say that 95% of NBA point guards are between approximately 67.18 inches and 82.02 inches tall.

b. In order to use the Empirical Rule, we assume that the histogram of NBA point guards' average heights is shaped like a normal distribution (bell-shaped). This means that the data is symmetrically distributed around the mean, with the majority of values clustering near the mean and fewer values appearing further away from the mean.

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Answer:

3/10+4/10=7/10

Step-by-step explanation:

The amount of plastic needed for each batch of 50 coins is equal to the volume of 50 coins that is 80 cu.cm.

The diameter of the coin is 2.0 cm.

As radius is half of the diameter, so its radius will be 1.0 cm.

It is given that the coin is circular in shape, so the area of the circular surface will be πr² = 3.14 × 1² = 3.14 sq. cm.     (π = 3.14)

The thickness of the coin is 0.5 cm, which will be considered as the height of the coin.

So, the volume of each coin will be = 3.14 × 0.5 = 1.57 cu. cm.

Therefore, the plastic needed for the batch of 50 coins is,

1.57 × 50 = 78.5 cu.cm and in multiple of 10 it will be 80 cu.cm.

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Cartesian equation is\(4y^2 = x\ or\ y^2 = x/4\)We know that the polar equation of the form \(r = f(\Theta)\)can be obtained by converting the Cartesian equation x = g(y) into polar coordinates.

To convert the equation, \(x = 4y^2\) into polar coordinates, we need to replace x and y with their respective polar coordinates.

We know that \(x = r\ cos\ \Theta\) and \(y = r\ sin\ \Theta\), where r is the radial distance and θ is the polar angle.

So, the Cartesian equation can be expressed as follows:\(4(r\ sin\ \theta)^2 = r\ sin\ \theta\⇒\\\ 4r^2 sin^2 \theta = r\ cos\ \theta\⇒ \\r = 4\ cos\ \theta sin^2 \theta\)

Therefore, the polar equation for the curve represented by the given Cartesian equation is \(r = 4\ cos\ \theta\ sin^2\ \theta\).The polar equation for the curve represented by the given Cartesian equation \(x = 4y^2\ is\ r = 4\ cos\ \theta\ sin\ \theta\).

To convert the given Cartesian equation\(r = 4 \cos\ \theta \sin^2 \theta\)\(x = 4y^2\) into polar coordinates, we need to replace x and y with their respective polar coordinates.

Using the equation \(x = r\ cos\ \theta\)and \(y = r\ sin\ \theta\), we get \(4(r\ sin\ \theta)^2 = r\ cos\ \theta\), which simplifies to \(r = 4\ cos\ \theta \sin^2 \theta\).

Hence, the polar equation for the curve represented by the given Cartesian equation is r = 4 cos θ sin² θ.

Therefore, the polar equation for the given Cartesian equation \(x = 4y^2\)is \(r = 4\ cos \ \theta\ sin^2 \theta\).

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Answer:

c

Step-by-step explanation:

looks alot easier thna others and more simple to solve a equation tht way

Answer:

y=7x+11

Step-by-step explanation:

to find the slope we need to do \(\frac{18-4}{3-1}\) which is \(\frac{14}{2}\) or 7.

then, we put this into point slope form (y-y1)=m(x-x1).

y-4=7(1)

we make the x value 0 in order to find the y-intercept.

y=11 since we multiply 7 by 1 to get 7, and add 4 onto both sides.

then we put the slope and the y-intercept into slope intercept form and get y=7x+11.

Sample space of randomly selecting a US state is 50, the probability that the US state begins with M is 4/25, and the probability that it doesn't begin with a vowel is 2/5.

a. What is the sample space?The sample space for randomly selecting one of the 50 US states is 50, i.e., the list of the 50 states.

b. What is the probability that it begins with M?The number of states that begin with M is 8. Therefore, the probability that the randomly selected US state begins with M is 8/50 or 4/25.

c. What is the probability that it doesn't begin with a vowel?There are 20 US states that don't begin with a vowel. Therefore, the probability that a randomly selected US state doesn't begin with a vowel is 20/50 or 2/5.

Randomly selecting a US state requires knowing the sample space, which in this case is 50. A sample space represents all possible outcomes of a random experiment. Therefore, the sample space for this problem represents the list of all 50 US states that can be randomly selected. The probability that a randomly selected US state begins with M can be calculated by dividing the number of states that begin with M by the total number of states. There are 8 US states that begin with M, hence, the probability of selecting a state that begins with M is 8/50 or 4/25. Finally, the probability that the randomly selected US state doesn't begin with a vowel is 20/50 or 2/5.

In conclusion, the sample space of selecting a US state randomly is 50, the probability that it begins with M is 4/25, and the probability that it doesn't begin with a vowel is 2/5.

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Cheko must give $110 to Miko so that each of them has an equal amount of pocket money, which is $550.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of Miko's pocket money to Cheko's pocket money.

= 8:12

= 2:3

Now,

Let's represent Miko's pocket money as 2x and Cheko's pocket money as 3x.

We know that,

3x = $660
x = $220

Miko's pocket money.

= 2x

= 2($220)

= $440.

To make their pocket money equal,

Cheko needs to give half of the difference between their pocket money to Miko.

The difference between their pocket money.

= $220 (i.e., $660 - $440).

Half of that is $110.

Therefore,

Cheko must give $110 to Miko so that each of them has an equal amount of pocket money, which is $550.

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The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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