A certain word game contains a large 20-sided die with letters instead of numbers on the sides. If all of the vowels (a, e, i, o, and u) are on the die, then what is the probability of rolling a vowel?

Answer:

4 + 6x = 70

6x = 66

x = 11

Answer:

period=(2π-1)/4

Step-by-step explanation:

4x+1=2π

4x=2π-1

x=(2π-1)/4

Answer:

Period is [tex]\frac{\pi}{2}[/tex]

Step-by-step explanation:

For the function [tex]y=acos(bx-c)+d[/tex], the period is [tex]\frac{2\pi}{|b|}[/tex].

Therefore, the period of the function is [tex]\frac{2\pi}{|b|}=\frac{2\pi}{|4|}=\frac{2\pi}{4}=\frac{\pi}{2}[/tex].

What this means is that the function's wave cycle will repeat every [tex]\frac{\pi}{2}[/tex] units.

Answer: B)  [tex]0 \le y \le 100[/tex]

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Explanation:

The range is the set of possible y outputs. Visually, we look for the highest and lowest points to determine that range of y values. The lowest point occurs when y = 0, which is the left-most point of the graph. The highest point is when y = 100 where the peak is.

So we say that y is between 0 and 100, including both endpoints to lead to the inequality [tex]0 \le y \le 100[/tex]

The range in interval notation is [0, 100]. The square brackets say to include the endpoints.

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Side note: The domain appears to be [tex]2.5 \le x \le 9.5[/tex] since the left-most point seems to have the x coordinate x = 2.5 and the right-most point seems to have the x coordinate x = 9.5. The domain is the set of all possible x inputs. So if your teacher was asking about the domain, then the answer would be C.

69,120

Step-by-step explanation:

You multiply 15 times 4608

The volume of solid B cylinder is 9000π cubic units.

A cylinder is a 3-D solid figure that has two identical circular bases joined by a curved surface at a fixed distance from the center, that is the height of the cylinder.

For the given situation,

Cylinder A:

Let the radius of cylinder A be r1 = 12 inches

Let the height of cylinder A be h1

The volume of the cylinder A, V1 = 4608 π cubic inches

Cylinder B:

Let the radius of cylinder A be r2 = 15 inches

Let the height of cylinder A be h2

The volume of the cylinder A, V2

The formula of volume of cylinder is

[tex]V=\pi r^{2}h[/tex]

For cylinder A,

⇒ [tex]4608\pi =\pi (12)^{2}h1[/tex]

⇒ [tex]h1=\frac{4608}{144}[/tex]

⇒ [tex]h1=32[/tex]

Cylinder A and cylinder B are similar, so

[tex]\frac{h1}{h2} =\frac{r1}{r2}[/tex]

⇒ [tex]\frac{32}{h2} =\frac{12}{15}[/tex]

⇒ [tex]h2=\frac{(32)(15)}{12}[/tex]

⇒ [tex]h2=40[/tex]

Volume of cylinder B is

⇒ [tex]V=\pi (15)^{2}(40)[/tex]

⇒ [tex]V=9000\pi[/tex]

Hence we can conclude that the volume of solid B cylinder is 9000π cubic units.

Learn more about cylinders here

https://brainly.com/question/15891031

#SPJ2

Answer:

meow meow

Step-by-step explanation:

Answer:

[tex]\frac{686\pi }{3}[/tex] or 718.3775

Step-by-step explanation:

Formula:

[tex]\pi r^2\frac{h}{3}[/tex]

we have

[tex]\pi *7^2*\frac{14}{3}= \frac{686\pi }{3}[/tex]

Answer:

[tex]adjacent = \sqrt{ {50}^{2} - {14}^{2} } = 48 \\ \\ \sin(Q) = \frac{14}{50} = \frac{7}{25} \\ \cos(Q) = \frac{48}{50} = \frac{24}{25} \\ \tan(Q) = \frac{14}{48} = \frac{7}{24} [/tex]

[tex] \sin(R) = \frac{48}{50} = \frac{24}{25} \\ \cos(R) = \frac{14}{50} = \frac{7}{25} \\ \tan(R) = \frac{48}{14} = \frac{24}{7} [/tex]

Base

Now

Answer:

x<7

therefore {x:x<7}

Step-by-step explanation:

x-4<3

x<3+4

x<7

Answer:

Step-by-step explanation:

for the first one: d

Answer:

m<S = 38°

Step-by-step explanation:

Given:

m<R = (x + 17)°

m<S = (2x - 2)°

m<T = (5x + 5)°

Required:

m<S

Solution:

First, we will need to determine the value of x by creating an equation. Thus:

m<R + m<S + m<T = 180° (sum of triangle)

Plug in the values

(x + 17)° + (2x - 2)° + (5x + 5)° = 180°

x + 17 + 2x - 2 + 5x + 5 = 180

Add like terms

8x + 20 = 180

8x + 20 - 20 = 180 - 20

8x = 160

8x/8 = 160/8

x = 20

Find m<S:

m<S = 2x - 2

Plug in the value of x

m<S = 2(20) - 2 = 40 - 2

m<S = 38°

Answer:

Step-by-step explanation:

two semicircles each of diameter 8 inches makes one circle with diameter=8 in.

radius r=8/2=4 in.

area of shaded region= πr^2=π×4²=16 π in²

≈16×3.14

≈50.24

≈50.2 in²

Answer:

w = 16, x = 11, y = 6, z = 7.5

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original.

scale factor = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]

Then by proportion

[tex]\frac{12}{w}[/tex] = [tex]\frac{3}{4}[/tex] ( cross- multiply )

3w = 48 ( divide both sides by 3 )

w = 16

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[tex]\frac{x}{12}[/tex] = [tex]\frac{3}{4}[/tex]

4x = 36

x = 9

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[tex]\frac{4.5}{y}[/tex] = [tex]\frac{3}{4}[/tex]

3y = 18

y = 6

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[tex]\frac{z}{10}[/tex] = [tex]\frac{3}{4}[/tex]

4z = 30

z = 7.5

Answer:

x= -34/3

Step-by-step explanation:

just solve by multiplying both sides by 15, then distribute 10 and 3 through the parenthesis, multiply both sides by 2, move the variable to the left side and change the sign, move the constant and change the sign, combine like terms, calculate the sum, and finally divide both sides by -3

Answer:

radius of circle = 3cm

circumference = 18.84cm

diameter = 6cm

Step-by-step explanation:

if the diameter of circle is 6cm

radius of circle = diameter/2

                         = 6/2

                         = 3

circumference of circle = 2[tex]\pi[/tex]r

                                       = 2 x 3.14 x 3

                                       = 6.28 x 3

                                       = 18.84

Answer:

a= $29,505. it. is useful answer

Answer:

4

[tex] \sqrt{4} = 2 \\ \\ \sqrt{2} \times \sqrt{8 } = \sqrt{16} \\ \\ \sqrt{16} = 4[/tex]

Answer:

decreased by 50%

Step-by-step explanation:

[tex]\frac{x}{y}[/tex]

100% - 60% = 40% = 0.4

100% - 20% = 80% = 0.8

[tex]\frac{0.4x}{0.8y}[/tex] = [tex]\frac{x}{2y}[/tex] = 0.5 × [tex]\frac{x}{y}[/tex] ⇒ the original fraction is decreased by 50%

Answer:

0.25 is the probability

Step-by-step explanation:

If there are 13 diamonds in a deck of 52 cards, dividing 13 by 52 will get you 0.25. This is the probability of getting a diamond from the deck of 52 cards.

Answer:

If it's AL to A'L' then its 1/2

If it's A'L' to AL then its 2

Answer:

11.5 degrees

Step-by-step explanation:

For future reference trianglecalculator.net is very helpful

The angle of elevation to the nearest tenth of a degree is 11.54°.

An angle of elevation is defined as the angle between the slant horizontal line of an eye and the object in relation to the baseline called the adjacent.

In trigonometry, the angle of elevation can be determined by using the sine rule.

[tex]\mathbf{sin \ \theta = \dfrac{opp}{hyp} }[/tex]

[tex]\mathbf{sin \ \theta = \dfrac{5}{25} }[/tex]

[tex]\mathbf{ \theta =sin^{-1} (0.2)}[/tex]

[tex]\mathbf{ \theta =11.54^0}[/tex]

Learn more about the angle of elevation here:

https://brainly.com/question/88158

Answer:

The answer is "The discriminant is positive"

Step-by-step explanation:

When the discriminant is positive there is two real solutions.

When the discriminant is equal to 0, there is one real solution.

When the discriminant is negative, there is no real number solutions.

Answer:

5 years (about)

Step-by-step explanation:

$23,700 X .13 = $3,081

$3,081 X 5 = $15,405

$23,700 - $15,405 = $8,295

Good luck! hope this helps.

(If you've noticed a mistake in my logic, please comment any corrections)

Answer:

B

Step-by-step explanation:

In an artihmetic sequence, there is a constant difference between two consecutive terms.

So for instance:

[tex]-6 -(-3) = -3[/tex]

[tex]-3 -0 = -3[/tex]

[tex]0 - 3 = -3[/tex]

As you can see there is a difference of [tex]-3[/tex] from one term to the next

____________________________

You can also find the constant difference the other way around, for instance

[tex]3-0=3[/tex]

[tex]0-(-3) = 3[/tex]

[tex]-3-(-6) = 3[/tex]

In this example, you can see that each term is [tex]3[/tex] higher than the previous term

I hope this helps!!

Answer:

x=58

Step-by-step explanation:

Answer:

x=26 degree

Step-by-step explanation:

x+106+48 =180 degree (sum of interior angles of a triangle is 180 degree)

x+154=180

x=180-154

x=26 degree

therefore the value of x is 26 degree.

Answer:

77 - 2n

Step-by-step explanation:

77 is being subtracted by a number doubled. Therefore, 77 - 2n is the expression.

Answer:

[tex](4,3)[/tex]

Step-by-step explanation:

If the solution would've been written has y ≤ 2x - 5, [tex](4,3)[/tex] would've been a solution

Answer:

y = 3x + 4

Step-by-step explanation:

Given:

Coordinates

(-3 , -5)

Slope m = 3

Find;

Equation of slope

Computation:

Given, x1 = -3 and y1 = -5

Equation of slope = y - y1 = m(x - x1)

Equation of slope = y - (-5) = 3(x + 3)

Equation of slope = y + 5 = 3x + 9

Equation of slope = y = 3x + 9 - 5

Equation of slope = y = 3x + 4

y = 3x + 4

An

Step-by-step explanation: