Find the volume of a cylinder that has a diameter of 14 mm and a height of 8 mm.

Use = 3. 14 and round your answer to the nearest hundredth

Answer:

a=24

Step-by-step explanation:

\(-\frac{a}{6}\)= -4

-a= -4*6

-a= -24

a= 24

Answer:

s^2 + n^2 = 116

Step-by-step explanation:

s^2 + n^2 = ?

s^2 = 80

n = 6

n^2 = 36

s^2 +n^2 = 80 + 36

s^2 +n^2 = 116

The measure of the arc angle QTP is equal to 316° using the secant tangent angle.

The secant tangent angle is the angle formed by a tangent and a secant that intersect outside of a circle. The measure of the secant tangent angle can be found using the following formula:

θ = 1/2 (arc EB - arc BD)

where arc EB and arc BD are the measures of the arcs intercepted by the secant and tangent, respectively.

m∠QRT = 1/2(arc TSP - arc QT)

90 = 1/2(arc TSP - 68)

180 = arc TSP - 68 {cross multiplication}

arc TSP = 180 + 68

arc TSP = 248°

arc QTP = arc TSP + arc QT

arc QTP = 248 + 68

arc QTP = 316°

Therefore, the measure of the arc angle QTP is equal to 316° using the secant tangent angle.

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Answer:

1. 20

2. 0

Step-by-step explanation:

1. 20

11 -12÷4+3 (6-2)

Brackets first

11-12÷4+3 x 4

Then division and multiplication

11-3+12

Subtraction next

8+12

Now addition

8+12=20

2. Anything divided by 0 is 0

Answer:

$918.02

Step-by-step explanation:

As each tire costs $213.99, you will be multiplying that by 4:

$213.99*4 = $855.96

Now you will have to add the tax to the price. You will do the following:

$855.96*.0725 = 62.0571

You will round that to $62.06

$855.96+$62.06

The total would be $918.02

Answer:

9

Step-by-step explanation:

the given expression can be re-written:

\(\frac{\sqrt{2} -1}{(\sqrt{2}-1)(\sqrt{2}+1)} +\frac{\sqrt{3} -\sqrt{2}}{(\sqrt{3} +\sqrt{2})(\sqrt{3} -\sqrt{2})} + ...+\frac{\sqrt{100} -\sqrt{99}}{(\sqrt{100} -\sqrt{99})(\sqrt{100} +\sqrt{99})};\)

then

\(\sqrt{2} -1+\sqrt{3} -\sqrt{2} +\sqrt{4} -\sqrt{3}+\sqrt{5} -\sqrt{4}+...+\sqrt{100}-\sqrt{99}= -1+\sqrt{100}=9.\)

In a case whereby Mrs. Carter's famous peanut butter cookies call for 1 cup of peanut butter for every 1 2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil the amount of peanut butter she should use can be expressed as  2 cups of peanut butter.

The concept that will be used is simplification. Base on the provided information from the question,

(1/2 cup of oil )= (1 cup of peanut butter)

we can represent (1 cup of oil)  as  (x)

The if we perfor a Cross Multipliplication we have:

(1/2x) =( 1 × 1)

x = (1 × 2/1)

x = 2 cups of peanut butter.

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Answer: 57.1 km/ h

Step-by-step explanation:

First find the amount of time it took for Olly to drive from Liverpool to Manchester.

Time = Distance / Speed

= 56 / 70

= 0.8 hours

It took 75 minutes to drive from Manchester to Sheffield. In hours that it:

= 75 / 60 minutes

= 1.25 hours

Total time taken to travel from Liverpool to Sheffield is therefore:

= 0.8 + 1.25

= 2.05 hours

Distance travelled from Liverpool to Sheffield:

= Distance from Liverpool to Manchester + Distance from Manchester to Sheffield

= 56 + 61

= 117 km

Average speed for the whole journey is therefore:

= Distance / Time

= 117 / 2.05

= 57.1 km/ h

Answer:

a.36 cm³

Step-by-step explanation:

hope helps u

Answer:

Step-by-step explanation:

Adjacent to the undetermined angle is 6, and the hypotenuse has been given. We can conclude, after looking at our SOHCAHTOA, that we will be using cosine(CAH) to solve this problem.

Let the unspecified angle be \(\theta\\\) (This sign is called theta, which is just a sign for angle)

Lets start!

cos\(\theta\\\) = adj/hyp

cos\(\theta\\\) = 6/13

\(\theta\\\) = \(cos^{-1}\)(6/13)

\(\theta\\\) = 62.5

\(\theta\\\) = 63

Hope that helped!

Answer: 2.5, 5.3

Step-by-step explanation:

\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3\)

In mathematical terms, if X is the sum of successes in n different Bernoulli trials, and p is the likelihood of success in each trial, then X may be represented as a normal distribution with mean increasing as n rises.

μ = np

variance σ^2 = np(1-p)

The binomial distribution is a discrete probability distribution that produces just two outcomes in an experiment: success or failure. In a binomial distribution, the chance of success must remain constant during the trials under consideration. For example, because there are only two possible outcomes when tossing a coin, the chance of flipping a coin is 1/2 or 0.5 for each experiment we do.

Here,

When the sample size (n) is high, the distribution of the total of successes (k) in n separate Bernoulli trials approaches a normal distribution, according to the normal approximation for the binomial distribution.

In mathematical terms, if X is the total of successes in n separate Bernoulli trials, with p being the chance of success in each trial, then X may be represented by a normal distribution with mean as n increases.

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Answer:

Line 1 : A. Neither B. Parallel__________ Line 2: A. Perpendicular B. Parallel

Step-by-step explanation:

Sorry this was hard to make a picture of it in my head. *Exhausted face* ._.

The solution to the equation "5*2-3^2 / (3^2-(-2))^2" after solving it is 1/121

To solve the equation 5*2-3^2 / (3^2-(-2))^2, we need to simplify the numerator and the denominator. This will give us this:

5*2-3^2 / (3^2-(-2))^2 =

= 10 - 9 / (9 - (-2))^2

Simplify further to make the number reduced

10 - 9 / (9 - (-2))^2

After the subtraction at the numerator level, the denominator figures have two minus signs which becomes a plus. As a result, we realize the value below

= 1 / (11)^2

In order to remove the bracket in the denominator, it implies that the number in bracket will be multiplied by itself since it is in the superscript of 2 which means 11 multiply by 11 or (11 x 11)

= 1/121

Therefore, to solve the equation 5*2-3^2 / (3^2-(-2))^2, one needs to simplify the equation and do the subtraction and addition from the numerator and the denominator respectively to realize the answer which is 1/121

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Answer: 1/121

Step-by-step explanation:

( 5 * 2 - 3^2 )/[ 3^2 - (-2)] ^ 2

= (10 - 9)/(9+2)^2

= 1 / 11^2

= 1/121

Mean absolute deviation (MAD) is sometimes considered a better approach to handle outliers in a data set than standard deviation because it is less sensitive to extreme values.

The reason for this is that MAD uses absolute differences between each data point and the median of the data set, rather than the squared differences used by standard deviation.

In a data set with extreme values, such as outliers, the squared differences used by standard deviation can significantly inflate the value, leading to a higher estimate of the overall variability in the data. MAD, on the other hand, uses absolute differences, which are not affected by the sign of the difference and thus are less affected by extreme values. Therefore, MAD can be a better measure of variability in a data set that includes outliers.

However, it is important to note that MAD also has some limitations. It is less widely used and less familiar to many analysts than standard deviation, and it has a more complex formula that can be harder to interpret. Additionally, MAD is not as efficient as standard deviation when the underlying distribution is normal, meaning it requires a larger sample size to achieve the same level of precision as standard deviation. Ultimately, the choice between MAD and standard deviation depends on the specific characteristics of the data set and the goals of the analysis.

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Answer:

4. 33 = 33

5. 19 > 10

6. 1 = 1

7. 0.95 > 0.9

8. 39 > 38

9. 14 > 2

10. x = 4

11. m = 44

12. p = 3

13. \(z=\frac{15}{23}\)

∠A = 24°

∠B = 87°

∠A = 24°

Explanation:

The sum of angles in a triangle is 180 degrees

let measure of angle A = ∠A

∠B = 15 more than three times the measure of angle A

∠B = 15 + 3∠A

∠C = 45° more than the measure of angle A

∠C = 45° + ∠A

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

∠A + 15 + 3∠A + 45° + ∠A = 180

collect like terms:

∠A + 3∠A + ∠A + 15 + 45 = 180

5∠A + 60 = 180

5∠A = 180 -60

5∠A = 120

∠A = 120/5

∠A = 24°

∠B = 15 + 3∠A = 15 + 3(24)

∠B = 87°

∠C = 45° + ∠A = 45° + 24°

∠C = 69°

Answer:volume of pyramid is equal to the volume of prism

Step-by-step explanation:

Answer:

The height of the flagpole is approximately 5.774 meters.

Step-by-step explanation:

Let's call the height of the flagpole h. We can use trigonometry to set up the following equation:

tan(30°) = h/10

Simplifying this equation, we get:

h = 10 tan(30°)

Using a calculator, we find that tan(30°) ≈ 0.5774, so:

h ≈ 5.774 meters

Therefore, the height of the flagpole is approximately 5.774 meters.

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Answer:

49.17

Step-by-step explanation:

Answer:

Anne pays $6 to enter a carnival and $0.50 for every ride she goes on at the carnival. What is x, the number of rides Anne can go on if she has $26 to spend at the carnival?

Step-by-step explanation:

Answer:

it the second situation mate

Step-by-step explanation:

hope i helped you amd it is correct..

The level in the pot rising when the coffee in the cone is 5 in deep is 0.35 in/min.

Here the variables are the height of the coffee in the filter hf , the radius of the top of the coffee in the filter rf , and the height of the coffee in the pot hp:

We allowed Vp to represent the volume of coffee in the pot. We are interested in the instant when

hf = 5 in and dVp/dt = 10 in³/min.

The question is dhp/dt =? when dVp/dt = 10 in³/min and hf = 5 in

We need to relate hp to the other variables. In the pot (idealized as a cylinder), we have the volume Vp as Vp = π(3)²hp = 9πhp in³(since the volume of a cylinder of radius r and height h is V = πr²h).

Differentiation of Vp with respect to time gives dVp/dt = 9πhp/dt or

dhp/dt = (1/9π).(dVp/dt)

When dVp/dt = 10 in³/min and hf = 5 in, we have

dhp/ dt = 1/9π(10)

= 10/9π in/min

dhp/ dt ≈ 0.35 in/min (notice that the answer here is independent of hf ).

Hence, the level in the pot rising when the coffee in the cone is 5 in deep is 0.35 in/min.

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Answer:

481.65

Step-by-step explanation:

You like add all the expenses together to like give you a total amount. Once you have the total expense you like minus it from the money at hand

Answer:

$150.66

Step-by-step explanation:

Let that amount of money Roger has = x

The amount of money Roderick has = y

Roger has four dollars more than double the amount that Roderick has in his wallet.

x = 2y + 4

Together, they have a total of $224.

x + y = $224....... Equation 1

We substitute 2y + 4 for x in Equation 1

2y + 4 + y = $224

3y + 4= $224

3y = $224 - 4

3y = $220

y = $220/3

y = $73.333333333

y = $73.33

How much money does Roger have?

x = 2y + 4

x = 2(73.33) + 4

x = $146.66 + 4

x = $150.66

Roger has $150.66

The value of x/y is 37/35, if a square with side length x is inscribed in a right triangle and a square with side length y is inscribed in another right triangle.

Note that triangle ABC and triangle FBE are similar,(by AAA)

As \(\angle B\) is common in both, and \(\angle F= \angle A\) as they both are 90°

so, the \(\angle C\) will also be equal to \(\angle E\)

so \(\frac{BF}{FR} = \frac{AB}{AC}\)

This can be written as \(\frac{4-x}{x} = \frac{4}{3}\)

solving: 12 - 3x = 4x

7x = 12 or x = 12/7

Similarly, triangle A'B'C' and triangle RB'Q are similar,

so RB' = \(\frac{4}{3}y\) and C'S= \(\frac{3}{4}y\)

Thus, C'B' = C'S+ SR+ RB'

or  \(\frac{4}{3}y + y + \frac{3}{4} = 5\)

solving y = 60/37

Now, x/y = \(\frac{12}{7} \times \frac{37}{60}\) = 37/35

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Answer:12%

Step-by-step explanation:52/2=12

Answer: C

Step-by-step explanation:

Answer: I think the answer is A.

Step-by-step explanation:

The dimensions of the box can be represented as (6-2x) inches by (24-2x) inches by "x" inches.

From a 24-inch by 6-inch piece of cardboard, square corners are cut so the sides can fold up to form a box without a top. To determine the dimensions and construct the box, we need to consider the shape of the cardboard and the requirements for folding and creating the box.

The initial piece of cardboard is a rectangle measuring 24 inches by 6 inches. To form the box without a top, we need to remove squares from each corner.

Let's assume the side length of the square cutouts is "x" inches. After cutting out squares from each corner, the remaining cardboard will have dimensions (24-2x) inches by (6-2x) inches.

To create a box, the remaining cardboard should fold up along the edges. The length of the box will be the width of the remaining cardboard, which is (6-2x) inches.

The width of the box will be the length of the remaining cardboard, which is (24-2x) inches. The height of the box will be the size of the square cutouts, which is "x" inches.

Therefore, the dimensions of the box can be represented as (6-2x) inches by (24-2x) inches by "x" inches. To construct the box, the remaining cardboard should be folded along the edges, and the sides should be secured together.

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Answer:

a). -6x³ - 12x²    b). -12     c). 12

Step-by-step explanation:

a). (g x f)(x) can also equal f(g(x))

= f (2x +4)

= -3x² (2x+4)

= -6x³ - 12x²

b). f(g(-1))

g(-1) = 2(-1) + 4

= -2 + 4

= 2

f(2) = -3x²

= -3(2)²

= -12

c). g(h(3))

h(3) = 3x-1/2

= 3(3) - 1 / 2

= 4

g(4) = 2x + 4

= 2(4) + 4

= 12

Answer:

She's "Hot"!

Step-by-step explanation: