A cylinder with a radius of 4cm and a height of 9cm has the same volume as a cone with a radius of 3cm. What is the height of the cone? A. 12 cm. B. 16 cm. C. 36cm. D. 48cm.

Answer: 15.625 ft^3

Step-by-step explanation:

The volume of a cube is the side length cubed.

Therefore, the volume of this cube would be equal to 2.5^3

2.5^3 = 15.625 ft^3

To determine if a series converges absolutely, conditionally, or diverges, we can use various convergence tests. Here are some common tests and how to apply them:

Divergence Test: If the terms of the series do not approach zero as n approaches infinity, the series diverges. This test does not determine absolute or conditional convergence.


Ratio Test: If the limit as n approaches infinity of |(an+1)/(an)| < 1, then the series |an| converges absolutely. If the limit is > 1, the series |an| diverges. If the limit is exactly 1, the test is inconclusive.

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The correct question is

Determine if each of the following series converge absolutely. If not, determine if it converges conditionally, or if it diverges. Again be explicit about what method/test/technique you are using and ensure that you justify each of its hypotheses. (a) ∑

n=1∞n!(−3) n  (b) ∑ n=2∞n 2 −1(−1)n (n+ln(n))

​

y=ax^4 + bx^3 + cx^2 + dx + e

Since a< 0 we know that it has to go to - infinity for x going to - infinity and x going to + infinity. That rules out choices B and C.

The maximum number of turning points a polynomial can have is n-1 where n is the degree of the polynomial

(turning points is change of direction)

The graph D has 5 turning points and the degree of the polynomial is 4 so it is not possible

A is your solution.

Answer:

d 108.5

Step-by-step explanation:

assuming that the two angles with this dot * are equal...we can look for their sizes... by using SOHCAHTOA

SO I use tan

tan∅= opposite/adjacent

tan∅= 30/40 = 0.75.......then find the inverse you get 36.87......angles in a triangle adds up to 180.... * =26.57

use SOHCAHTOA again to get ungiven sides

then add ABC to get 108.54 cm as your answer.

I hope this is helping

The value of x from the triangle is x = 56°

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the first triangle be represented as ABC

Let the second triangle be represented as ABD

Now , the measure of side ABD = x°

In the triangle ABC ,

∠ACB = 180° - 104° ( angles on a straight line = 180° )

So , the measure of ∠ACB = 76°

And , the measure of side ∠ACB = measure of side ∠ABC ( given )

So , the measure of side ∠ABC = 76°

And , for a triangle ∠A + ∠B + ∠C = 180°

Substituting the values in the equation , we get

The measure of ∠BAC = 180° - ( 76° + 76° )

The measure of ∠BAC = 28°

Now , the measure of ∠BAC + measure of ∠BAD = 90° ( given perpendicular line )

So , the measure of side ∠BAD = 90° - 28°

The measure of side ∠BAD = 62°

And , measure of side ∠BAD = measure of side ∠ABD ( given that they are similar )

So , the measure of side ∠ABD = 62°

And , for a triangle ∠A + ∠B + ∠D = 180°

Substituting the values in the equation , we get

The measure of side ABD = x° = 180° - ( 62° + 62° )

The measure of side ABD = x° = 180° - 124°

The measure of side ABD = x° = 56°

Hence , the measure of x is 56°

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Answer:

A and D

Step-by-step explanation:

Answer:

A andD

Step-by-step explanation:

The answer is B Your welcome!!!!

Answer:

how many miles did they walk

Step-by-step explanation:

you didn't put the full question

A random variable is a quantitative outcome of a chance experiment.

A probability distribution includes the likelihood of each possible outcome.

A random variable is a variable whose value is determined by chance or randomness. It is often used to represent a numerical outcome of a chance experiment, such as the result of a coin toss, the roll of a die, or the outcome of a survey. Random variables can take on any numerical value, but it is often useful to assign probabilities to each possible value. This probability, known as a probability distribution or probability density function, describes the likelihood that a given value of the random variable will occur.

A normal distribution is a type of probability distribution that is symmetrical and bell-shaped, with the mean, median, and mode all equal. The values of the distribution are spread out around the mean, with the majority of the values within one standard deviation of the mean. A normal distribution is also known as a Gaussian distribution, as it was discovered by Carl Friedrich Gauss in the early 19th century.

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the milti-step equations true

Answer: Your answer is A one over 32

Answer: 1/64

Step-by-step explanation:You need to multiply 1/2 by the other 1/2 as well not just the exponents.

Answer:

Draw open circle AT 11

Shade all numbers to the right of 11

Step-by-step explanation:

Have a great day!

Answer:

its A,B

Step-by-step explanation:

Answer:

2

h(0)= 2

7

f(4)+h(4)= 3+1= 4

Answer:

Im sorry! can you please translate this?

Step-by-step explanation:

Answer: \(\frac{2}{25}\) is the solution.

Step-by-step explanation;

Apply the property of fractions. Multiply the numerator with the numerator (1*2) and then the denominator with the denominator (5*5). This will give you: \(\frac{2}{25}\).

The linear equation in the two-point form using the points (2, 2) and (x2, y2) is y - y1 = m(x - x1).

To determine the slope (m), we can use the formula:

m = (y2 - y1) / (x2 - x1)

Given that (x1, y1) = (2, 2), let's substitute the values into the formula:

m = (y2 - 2) / (x2 - 2)

The slope (m) will be determined once we have the values for (x2, y2). If you provide the second point or any additional information, I can calculate the slope and provide the complete equation in the two-point form.

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Answer:

y = 17/10x - 11/10

Answer:

C. Best models this relationship

Step-by-step explanation:



Answer:

C: y=1/3x

Step-by-step explanation:

I'll set up an equation for this.

When x = 6, y needs to be 2.

--> 2 = 6 times ___

since 6 times 1/3 is 2, ___ is 1/3.

Now we know that 1/3 is the slope. In a complete equation, this will be shown as y = 1/3 x.

This can be proven by reinserting the value of x and y.

2 = 1/3 (6)

Since this equation works, we can be sure that C: y=1/3 x is correct.

Answer:

2y = 14 the correct answer is C

Angles Formulas at the center of a circle can be expressed as:

Central angle, θ = (Arc length × 360º)/(2πr) degrees

Sum of Interior angles=180°(n-2)

The angles formulas are used to find the measures of the angles. An angle is formed by two intersecting rays, called the arms of the angle, sharing a common endpoint.

The corner point of the angle is known as the vertex of the angle. The angle is defined as the measure of the turn between the two lines.

There are various types of formulas for finding an angle; some of them are the central angle formula, double-angle formula, etc...

We use the central angle formula to determine the angle of a segment made in a circle.

We use the sum of the interior angles formula to determine the missing angle in a polygon.

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A probability mass function is a function that describes the probability of a discrete random variable taking on each possible value in its sample space.

A probability mass function (PMF) is a function that assigns a probability to each possible value of a discrete random variable. The PMF maps each value to the probability of that value occurring in the random variable's sample space. The probabilities assigned by the PMF must sum to 1, since the random variable must take on one of the possible values in its sample space.

The PMF is used to calculate the expected value, variance, and other statistical properties of the random variable. It is also used to create probability distributions and generate simulations of the random variable. Probability mass functions are commonly used in probability theory, statistics, and other fields that involve discrete random variables.

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The control chart limits (3 sigma) for the fertilizer-bag-filling machine can be computed using Table $6.1.

To compute the control chart limits (3 sigma) using Table $6.1 for the fertilizer-bag-filling machine, follow these steps:

Determine the sample size: In this problem, each sample consists of 7 observations.

Calculate the average range (R): For each sample, calculate the range by subtracting the smallest observation from the largest observation. Then, calculate the average range across all 35 samples.

Find the appropriate value from Table $6.1: Locate the row in Table $6.1 corresponding to the sample size (7) and find the factor associated with 3 sigma. This factor represents the number of standard deviations for the control limits.

Compute the control limits: Multiply the average range (R) by the factor obtained from Table $6.1 to determine the width of the control limits. Then, subtract this width from the overall average of the process data to obtain the lower control limit, and add the width to the overall average to obtain the upper control limit.

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Answer:

m = -1

Step-by-step explanation:

3(m + 2) = -( 6- m) + 10​

Distribute

3m +6 = -6+m +10

Combine like terms

3m+6  = m+4

Subtract m from each side

3m-m+6 = m+4-m

2m+6 = 4

Subtract 6 from each side

2m+6-6 = 4-6

2m = -2

Divide by 2

2m/2 = -2/2

m = -1

A one-sample t-test was conducted to determine if the temperature increased in the first week of October 2019 compared to the average temperature from the previous 10 years. The result showed a p-value of 0.032, indicating a significant increase in temperature.

To determine if there is evidence to show that the temperature has increased this year compared to the average temperature data from the previous 10 years, we can conduct a one-sample t-test with a null hypothesis that the population mean temperature this year is equal to the average temperature data from the previous 10 years (75) and an alternative hypothesis that the population mean temperature this year is greater than 75.

Using a statistical software, the calculated t-value is 2.17 with a corresponding p-value of 0.032. Since the p-value is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is evidence to show that the temperature has increased this year compared to the average temperature data from the previous 10 years. The p-value of 0.032 indicates that the probability of observing a sample mean temperature as extreme as 79.29 (the calculated sample mean temperature this year) or greater, assuming that the population mean temperature is equal to 75, is 0.032.

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The time taken by the rocket to reach its maximum height is 3.25 seconds. The maximum height reached by the rocket is 174 feet.

A toy rocket is shot vertically into the air from a launching pad 5 feet above the ground with an initial velocity of 104 feet per second. The height h, in feet, of the rocket above the ground at "t" seconds after launch is given by the function h(t) = -16t² + 104t + 5. We need to calculate the time taken by the rocket to reach its maximum height and the maximum height.

Let the time taken and the maximum height be denoted by the variables "T" and "H". We will differentiate the given function to get the velocity of the rocket as a function of time.

v(t) = (d/dt)h(t)

v(t) = (d/dt)(-16t² + 104t + 5)

v(t) = -32t + 104

The velocity of the rocket must be equal to zero when it reaches its maximum height.

v(t) = 0

-32t + 104 = 0

32t = 104

t = 3.25

Hence, the time taken to reach the maximum height is 3.25 seconds.

The maximum height is calculated below.

H = h(3.25)

H = -16*(3.25)² + 104*(3.25) + 5

H = -16*10.5625 + 338 + 5

H = -169 + 343

H = 174

Hence, the maximum height reached by the rocket is 174 feet.

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Answer:

2)(V2

Step-by-step explanation:

The answer for all of them

Dawn will raise amount  $108 for her school.

Dawn is raising money for her school in a jog-a-thon. She will get three dollars for every lap she completes. To calculate how much money she will raise for her school, we need to know how many laps Dawn completed. If it takes 36 laps to jog a mile, and Dawn jogged a total of 3 miles, then Dawn completed 108 laps. To calculate how much money Dawn raised for her school, we multiply the number of laps (108) by the amount she earns for each lap (3 dollars). This means that Dawn raised amount $108 for her school.

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Answer:

Step-by-step explanation:

it would be a 20% tip

Answer:

3.75

Step-by-step explanation:

5% of 75 is 3.75