The height and radius of the cylinder are the same. If the volume of the cylinder 64π cm3. Using the formula, Volume of Cylinder = πr2h, what is the radius of the cylinder?

Answer:

7 / 69

Step-by-step explanation:

Rabbit = 8

Mice = 12

Snake = 4

Total = (8 + 12 + 4) = 24

If each animal has equal probability of being caught ;

Probability of catching a rabbit ;

Number of rabbits / total number of animals

P(catching 1 rabbit) = 8 / 24 = 1/3

P(catching 2nd rabbit) :

Number of rabbits left = 8 - 1 = 7

Total number of rabbits = 24 - 1 = 23

Hence, P(catching 2nd rabbit) = 7 /23

Probability of catching two rabbits :

1 /3 * 7/ 23 = 7 / 69

Answer:

D

Step-by-step explanation:

Answer:

It's D :)

Step-by-step explanation:

15 percent of $58.75 is $8.81. Subtract 8.81 from 58.75 and you are left with 49.94 :D

Answer:

78

Step-by-step explanation:

9x7 equal 63 plus 15 is 78

Answer:

Step-by-step explanation:

$9 = x

$15 = y

x times 7 + y = $78

Hope this helped!

The ways they can fall are 4,8 and 36

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

Given;

Two coins, three coins and two dices are tossed

Probability of two coins;

=2x2=4

Probability of three coins;

=2x2x2=8

Probability of two dices;

=6x6=36

Therefore, the probability of coins and dice will be 4,8 and 36

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Answer:13/100x×4000=4500

13x×40=4500

480x=4500

x=4500/480

Answer:

Rs 12

Step-by-step explanation:

According to what I have understood;

13/100*4000= Rs Rs 512

So, Rs 4000 plus its VAT is

4000+ 512= Rs 4512

Then we need to find the difference, That is

Rs 4512 - Rs 4000= Rs 12

Answer:

8 pounds total

Step-by-step explanation:

first calculate how much she used in total

1/4 + 3/8

need like denominators so multiply 1/4 by 2

2/8 + 3/8 = 5/8

so 5/8 of the total is 5 pounds, now find the total

if 5/8 = 5, then 8/8 = _8_

Marisa can expect to make a profit with her company as per the given information. The profit she earns from the 49 pairs will cover the cost of repairing the one pair that needs repair.

Based on the profit analysis, Marisa can expect to make a profit with her company. The calculation and expiation are provided as follows:
Profit Calculation:

Marisa wants to make a profit of $5.00 on each pair of earrings. This means that for every pair sold, she will earn $5.00.
Cost of Repair:

Marisa has improved the quality control, resulting in only 1 pair in 50 need to be returned for repair. The cost of repairing each pair is $60.
Profit Analysis:

Let's analyze the profit situation.
  - For every 50 pairs sold, one pair will need repair, costing Marisa $60.
  - However, for the remaining 49 pairs, she will earn $5.00 profit on each, totaling $245.00 ($5.00 x 49).
  - So, the total profit from the 49 pairs will offset the cost of the one pair that needs repair.
Based on the profit analysis, Marisa can expect to make a profit with her company. The profit she earns from the 49 pairs will cover the cost of repairing the one pair that needs repair. Therefore, her company can be considered profitable.

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Answer:

-8 and 1

Step-by-step explanation:

\(-8*1=-8\\\\-8+1=-7\)

Based on the properties of rectangles, the angles and the side lengths are KN = 11 and NLK = 32

From the question, we have the following parameters that can be used in our computation:

JN = 2x + 7, LN = 6x - 1

NKJ = 58 degrees

The diagonals or a rectangle are equal

So, we have

2x + 7 = 6x - 1

Evaluate the like terms

4x = 8

Divide

x = 2

So, we have

KN = 2 * 2 + 7

KN = 11

Adjacent angles in this case add up to 90 degrees

This gives

NLK = 90 - 58

Evaluate

NLK = 32

Hence, the measure of the angle is 32 degrees

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Answer:

I did this question the other day, I think it is right, but I'm not 100% sure. Let me know if it is helpful

Step-by-step explanation:

Answer:

23%

Step-by-step explanation:

Answer:

They plan to spend $24 on rides.

Step-by-step explanation:

Let the amount they spend on food be x.

ride : 2x

amount left= $56-$20

                    = $36

2x+x= 36

x=12

2x= 2(12)

   = 24

The quadratic function of h (x) in vertex form will be;

⇒ h(x) = (x + 2)² − 3

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The values of x and h (x) for the quadratic function is given as;

x = -3, -2, -1, 0, 1, 2, 3,

h (x) = -2, -3, -2, 1, 6, 13, 22

Now,

Let the quadratic function is,

h (x) = ax² + bx + c

Substitute x = -3 and h (x) = -2 in above quadratic function we get;

h (x) = ax² + bx + c

- 2 = a × (-3)² + b × -3 + c

- 2 = 9a - 3b + c

And, Substitute x = -2 and h (x) = -3 in above quadratic function we get;

h (x) = ax² + bx + c

- 3 = a × (-2)² + b × -2 + c

- 3 = 4a - 2b + c

And, Substitute x = -1 and h (x) = -2 in above quadratic function we get;

h (x) = ax² + bx + c

- 2 = a × (-1)² + b × -1 + c

- 2 = a - b + c

After solving we get;

a = 1 , b = 4 and c = 1

Substitute all the values in above quadratic equation, we get;

h (x) = ax² + bx + c

h (x) = 1 × x² + 4x + 1

h (x) = x² + 4x + 1

h (x) = x² + 4x + 4 - 4 + 1

h (x) = (x + 2)² - 3

Thus, The quadratic function of h (x) in vertex form will be;

⇒ h(x) = (x + 2)² − 3

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Answer:

the answer is 0.01 your welcome

Answer: 5.2387 and 5.2437

Step-by-step explanation:

Answer:

if 'n' is positive and odd then reducing it by one gives you an even; so then you are multiplying and even and an odd which results in an even

if 'n' is positive and even then reducing it by one gives you an odd; so then you are multiplying and even and an odd which results in an even

Step-by-step explanation:

Answer: C has the three equivalent numbers.

Answer: 10.6

Step-by-step explanation:

The formula to get the distance between the two points will be:

D = ✓[(x2 - x1)² + (y2 - y1)²]

where,

x1 = 5

X2 = -3

y1 = -8

y2 = -1

D = ✓[(-3 -5)² + (-1 +8)²]

D = ✓(-8)² + (7)²

D = ✓(64 + 49)

D = ✓113

D = 10.6

The distance is 10.6

Problem N 9

we have that

UW=UV+VW -----> by addition segment postulate

substitute given values

(2x-8)=(x-8)+(12)

solve for x

2x-8=x+4

2x-x=4+8

therefore

The answer is

Answer:

m = - 3 , b = 5

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line

m = \(\frac{-1-5}{2-0}\) = \(\frac{-6}{2}\) = - 3

the y- intercept b is the value of y on the y- axis where the line crosses

that is b = 5

Answer:

b = 5

m = -3

Step-by-step explanation:

y-intercept is where the line intersects the y-axis. So, the line intersects at (0,5).

So, y-intercept = b = 5

       Choose two points on the line: (0,5) and (1,2)

 x₁ = 0    ; y₁ = 5

  x₂ = 1    ; y₂ = 2

Substitute the points in the below formula to find the slope.

                \(\sf \boxed{\bf Slope =\dfrac{y_2-y_1}{x_2-x_1}}\)

                            \(= \dfrac{2-5}{1-0}\\\\=\dfrac{-3}{1}\)

                        \(\boxed{\bf m = -3}\)

Answer:

  17/25

Step-by-step explanation:

You want to know which of 5/16 or 17/25 is closer to 1/2.

For the sake of argument, let's assume that 17/25 is closer to 1/2. This means the difference from 1/2 is smaller than for 5/16:

  (17/25 -1/2) < (1/2 -5/16)

We can add (5/16 + 1/2) to both sides and we get ...

  17/25 + 5/16 < 1

The sum on the left is easily computed:

  (17·16 +25·5)/(25·16) < 1

  (272 +125)/400 < 1

  397/400 < 1 . . . . . . true

Our original premise is true: 17/25 is closer to 1/2.

__

Additional comment

A straightforward solution involves finding the positive difference of each number from 1/2, then comparing those differences. The attached calculator screen does that. It shows the difference of 17/25 from 1/2 is smaller than for 5/16, in agreement with the above.

Effectively, we're comparing the midpoint between the two numbers to 1/2. If it is below 1/2 (which it is), then the upper number doesn't have as great a distance from 1/2 as the lower number does.

This sort of comparison only works if the numbers are on either side of 1/2. If they are on the same side, the sign of their difference tells the tale.

Answer:

Step-by-step explanation:

-0.125

Answer:

To convert -1/8 to a decimal, divide the denominator into the numerator. -1 divided by 8 = -0. 125.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Lacey you can do this one  :D

J = H  ( b/c of red marks)

180= 128 + ∠j

52 = ∠j

t = ∠j

t = 52

180 = s + 2*t

180 = s + 2*52

180 = s + 104

180-104 =s

76 = s

Answer:

...

Step-by-step explanation:

uhhhh

The correct formula for the revenue generated by the item is Revenue = 200p - 5p^2.

The revenue generated by the item can be calculated by multiplying the price (p) by the unit sales (200 - 5p). Therefore, the correct formula for the revenue generated by the item is:

Revenue = Price x Unit Sales
Revenue = p(200 - 5p)
Revenue = 200p - 5p^2

The revenue generated by the item is a quadratic function of the price (p). To find the maximum revenue, we need to differentiate the function with respect to p and set it equal to zero:

dRevenue/dp = 200 - 10p = 0
10p = 200
p = 20

Therefore, the maximum revenue is generated when the price of the item is $20. Substituting p = 20 in the revenue formula, we get:

Revenue = 200(20) - 5(20^2) = $2000

Hence, the correct formula for the revenue generated by the item is Revenue = 200p - 5p^2, and the maximum revenue is achieved when the price of the item is $20, generating a revenue of $2000.

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If you went to college and earned a four-year degree, then 70% more money would you expect to earn each year than if you did not graduate from high school.

The pursuit of a college education is such a crucial life goal that it has taken center stage in the "American Dream." Attend college, secure a career, purchase a home, and start a family. Even if it isn't usually that easy, it all begins with your college education.

According to a study conducted across the country and released by the State Higher Education Executive Officers Association (sheeo.org), the average pay for high school graduates is close to $30,000. Graduates with a bachelor's degree typically make a little over $50,000 per year.

The average annual salary for those with higher level degrees (master's, doctoral, or professional) is also close to $70,000. This results in a sizable wage discrepancy over the course of a person's lifetime.

Hence, if you went to college and earned a four-year degree, then 70% more money would you expect to earn each year than if you did not graduate from high school.

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The value of the line integral is (-16/3)cos(6) + (16/9)sin(6). Evaluating this integral, you will get the value of the line integral for the given curve.

To evaluate the line integral ∫c x sin yds, where C is the line segment from (0,3) to (4,6), we first need to parameterize the curve. We can do this by letting x = t and y = 3 + (3/4)t, where t goes from 0 to 4. This gives us the parametric equations x = t and y = (3/4)t + 3.

Next, we need to find ds, the length of the curve element. We can use the formula ds = sqrt(dx^2 + dy^2) to get ds = sqrt(1 + (3/4)^2)dt = sqrt(25/16)dt = (5/4)dt.

Now we can substitute in our parameterization and ds into the line integral to get ∫c x sin yds = ∫0^4 t sin((3/4)t + 3) (5/4)dt.

We can evaluate this integral using integration by parts. Let u = t and dv = sin((3/4)t + 3) (5/4)dt, then du/dt = 1 and v = (-4/3)cos((3/4)t + 3). The integral becomes:

∫0^4 t sin((3/4)t + 3) (5/4)dt = uv|0^4 - ∫0^4 v du/dt dt
= (-4/3)t cos((3/4)t + 3)|0^4 - ∫0^4 (-4/3)cos((3/4)t + 3) dt
= (-4/3)t cos((3/4)t + 3) + (16/9)sin((3/4)t + 3)|0^4
= (-16/3)cos(6) + (16/9)sin(6)

Therefore, the value of the line integral is (-16/3)cos(6) + (16/9)sin(6).

To evaluate the line integral ∫c x sin y ds, where C is the line segment from (0, 3) to (4, 6), you first need to parameterize the curve C.

A possible parameterization is r(t) = (1-t)(0, 3) + t(4, 6) = (4t, 3+3t), with t ∈ [0, 1]. Then, compute the derivative dr/dt = (4, 3).

Now, find the integrand by replacing x and y with the parameterized curve components: x sin y = (4t) sin(3 + 3t).

Next, find the magnitude of the derivative: |dr/dt| = √(4² + 3²) = 5.

Finally, compute the integral:

∫[0, 1] (4t sin(3 + 3t))(5) dt.

Evaluating this integral, you will get the value of the line integral for the given curve.

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