oliver turned a circular dial one degree if he turns the dial one degree 27 times, what is the measurement on the angle in degrees

A)  A sine function whose period is 2pi radians.

C) A cosine function with no phase shift whose x-coefficient is 1.

D) A sine function whose graph shows 2 cycles from -4pi radians to 0.
G) A cosine function whose graph shows 1 cycle from 3pi radians to 5pi radians.

The solution is,

A)  A sine function whose period is 2pi radians.

C) A cosine function with no phase shift whose x-coefficient is 1.

D) A sine function whose graph shows 2 cycles from -4pi radians to 0.

G) A cosine function whose graph shows 1 cycle from 3pi radians to 5pi radians.

which  have a frequency factor of b=1.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

given that,

we have to find the functions which  have a frequency factor of b=1.

so, we get,

from the given options, that,

A)  A sine function whose period is 2pi radians.

C) A cosine function with no phase shift whose x-coefficient is 1.

D) A sine function whose graph shows 2 cycles from -4pi radians to 0.

G) A cosine function whose graph shows 1 cycle from 3pi radians to 5pi radians.

are the functions which  have a frequency factor of b=1.

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Answer:

c

Step-by-step explanation:

Answer:

[tex] \frac{ - 3}{ - 5} [/tex]

Step-by-step explanation:

[tex] \frac{3 + - 6 }{ - 5} = \frac{3 - 6}{ - 5} = \frac{ - 3}{ - 5 } [/tex]

Answer:

not sure about 1

for number 2 it is 5 over 4 . for y, 5 10 15 20 is a multiple of 5 so the change is 5. for x, 4 8 12 16 is a multiple of 4 so the change is 4.

On Tuesday, the street sweepers cleaned [tex]\( \frac{5}{8} \)[/tex] city blocks.

On Tuesday, the team of street sweepers cleaned [tex]\( \frac{1}{4} \)[/tex] as many blocks as they did on Monday.

Given that they cleaned [tex]\( 2\frac{1}{2} \)[/tex] city blocks on Monday, we need to find [tex]\( \frac{1}{4} \)[/tex] of this amount to determine how many blocks they cleaned on Tuesday.

To find [tex]\( \frac{1}{4} \)[/tex] of [tex]\( 2\frac{1}{2} \),[/tex] we multiply [tex]\( 2\frac{1}{2} \)[/tex] by [tex]\( \frac{1}{4} \)[/tex]:

[tex]\[ 2\frac{1}{2} \times \frac{1}{4} = \frac{5}{2} \times \frac{1}{4} = \frac{5}{8} \][/tex]

So, the street sweepers cleaned [tex]\( \frac{5}{8} \)[/tex] city blocks on Tuesday.

Answer:

[tex]x+y=10\\\\x-y=11\\-y=11-x\\y=-11+x\\\\x+(-11+x)=10\\x-11+x=10\\2x=21\\x=10.5[/tex]

[tex]x-72\\10.5-72\\-61.5[/tex]

The answer is -61.5

Answer:

Negative.

Step-by-step explanation:

To understand the question, you first must understand the slopes of different types of equations.

A linear equation: [tex]y = 2x[/tex] will travel from the third quadrant to the first.

If you plug in 2 for x, y will equal 4. Both values are positive, leading to a positive correlation.

A linear equation: [tex]y = -3x[/tex] will face the other direction, as shown in your attached image. When you plug in a positive number for x, like 5, y will equal -15, making the graph go up and left towards negative values.

Answer:

to the tenths place, 32.86

Step-by-step explanation: It is because money is always rounded to the tenths place

Answer:

The answer is shown in the picture☝️.

Formula :

cos(π/2 - x) = sin x

cos(π - x) = -cos x

cos²x + sin²x = 1

loga(b) + loga(c) = loga(b×c)

Steps to solve:

5 - 5cos(π/2 - x) = 2cos²(π - x)

~Use an identity to simplify cos(π/2 - x)

cos(π/2 - x) → sin(x)

~Use an identity to simplify cos(π - x)

cos(π - x) → -cos(x)

~Put back into an expression

5 - 5sin(x) = 2(-cos(x))²

~Simplify

5 - 5sin(x) = 2cos²(x)

~Subtract 2cos²(x) to both sides

5 - 5sin(x) - 2cos²(x) = 2cos²(x) - 2cos²(x)

~Simplify

5 - 5sin(x) - 2cos²(x) = 0

~Use an identity to simplify

5 - (1 - sin²(x)) * 2 - 5sin(x) = 0

~Simplify

3 + 2sin²(x) - 5sin(x) = 0

~Let sin(x) = u

3 + 2u² - 5u = 0

~Use the quadratic formula to solve for u.

[tex]x=\frac{-(-5)+-\sqrt{(-5)^2-4(2)(3)} }{2(2)}[/tex]

[tex]u = \frac{3}{2}, u=1[/tex]

~Substitute back with sin(x) = u

sin(x) = 3/2 or sin(x) = 1

Steps to solve:

log₂(1 - x) + log₂(-5x - 2) = 2 + log₂3

~Apply log rule

log₂((1 - x(-5x - 2)) = 2^2+(log₂(3)

~Use log definition

(1 - x)(-5x - 2) = 2^2+log₂(3)

~Expand both sides

5x² - 3x - 2 = 12

~Subtract 12 to both sides

5x² - 3x - 2 - 12 = 12 - 12

~Simplify

5x² - 3x - 14 = 0

~Use the quadratic formula to solve

[tex]x = \frac{-(-3)+-\sqrt{(-3)^2-4(5)(-14)} }{2(5)}[/tex]

~Simplify

x = 2 or x = -7/5

Best of Luck!

The Area of the figure below, composed of a rectangle and one semicircle, with another semicircle removed is 150 cm².

Length of the rectangle = 15cm.

Width of the rectangle = 10cm.

Diameter of semicircle = 10cm.

Therefore the radius of semicircle = diameter of semicircle/2

Therefore the radius of semicircle = 10/2 = 5cm.

Area of the given figure = Area of rectangle + Area of semicircle - Area of semicircle.

So, area of the given figure = Area of rectangle.

Area of rectangle = length × width

Area of rectangle = 15 × 10 = 150 cm²

Therefore the area of the figure below, composed of a rectangle and one semicircle, with another semicircle removed is 150cm².

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Rounded to the nearest tenth, the area of the figure is 150.0 square units.

To find the area of the figure composed of a rectangle and two semicircles, with one semicircle removed, you can follow these steps:

Calculate the area of the rectangle.

Calculate the area of the larger semicircle.

Calculate the area of the smaller semicircle (the one that's removed).

Subtract the area of the smaller semicircle from the sum of the area of the rectangle and the larger semicircle.

Given that the dimensions of the rectangle are 15 by 10, the radius of the semicircle is half the width of the rectangle, so it's 10/2 = 5.

Area of Rectangle:

Area_rect = length x width = 15 x 10 = 150 square units

Area of Larger Semicircle:

The radius of the larger semicircle is 5 units (half of the width of the rectangle).

Area_larger_semicircle = (1/2) x π x r^2

Area_larger_semicircle = (1/2) x π x 5^2 = (1/2) x π x 25 = 12.5π square units

Area of Smaller Semicircle (the one that's removed):

This is also a semicircle with a radius of 5 units.

Area_smaller_semicircle = (1/2) x π x 5^2 = (1/2) x π x 25 = 12.5π square units

Subtract the area of the smaller semicircle from the sum of the area of the rectangle and the larger semicircle:

Total Area = Area_rect + Area_larger_semicircle - Area_smaller_semicircle

Total Area = 150 + 12.5π - 12.5π

The "12.5π" terms cancel out when you subtract them, so you're left with:

Total Area = 150 square units

Rounded to the nearest tenth, the area of the figure is 150.0 square units.

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Answer:

100°

Step-by-step explanation:

AB = AC (given)

Therefore, ∆ ABC is an isosceles triangle.

m<B=m< C= 40°

sum of the interior angles of a triangle= 180°

m<A+40°+40°=180°

m<A = 180°-80° = 100°

Answer:

< A is 100

Step-by-step explanation:

<B is 40 <C is also 40

so 40+40= 80 then you have to do 180-80. Which equals 100.

Answer:

w = x + 50

Step-by-step explanation:

The dog is 50 pounds. The person's weight is x. You are trying to find the total weight of the dog and person. Therefore, you need to combine the two values to get the total, making the equation w = x + 50, or x + 50 = w

Answer:

It's 9

Step-by-step explanation:

I just took the test and got it right.

Answer:

its positive 9

Step-by-step explanation:

Answer: The volume of cheese remaining is 7 cubic inches (7 in³)

Step-by-step explanation: The cheese is in the shape of a cylinder. The volume of a cylinder is given as follows;

Volume = πr²h

Where r = radius of the top of the cylinder and h = the height of the cylinder.

In this case, the cheese has its radius as 3 inches (that is diameter divided by 2). Also the height is given as the thickness of the cheese which is 2 inches. Note also that part of the cylindrical cheese has been eaten leaving only a potion which has an angle of 45 degrees.

The volume of the left over portion therefore can be calculated as follows;

Volume = (∅/360) x πr²h

Volume = (45/360) x 3.14 x 3² x 2

Volume = (1/8) x 3.14 x 9 x 2

Volume = (1/8) x 56.52

Volume = 7.065

Volume ≈ 7

Therefore the volume of cheese that remains is 7 cubic inches (7 inches³) approximately.

Answer:

28.25

Step-by-step explanation:

Final answer:

The area of a circle with a circumference of 18.84 yards is approximately 28.274 square yards, found by first calculating the radius from the circumference and then using the area formula πr².

Explanation:

To find the area of a circle with a given circumference, we first need to determine the radius of the circle using the circumference. The formula to find the circumference C is C = 2πr, where r is the radius of the circle and π (pi) is approximately 3.14159. Since we are given that the circumference C is 18.84 yards, we solve for the radius r as follows:

r = C / (2π)

r = 18.84 yd / (2 × 3.14159)

r = 3 yards (approximately)

Once we have the radius, we can calculate the area of the circle using the formula:

A = πr²

A = π × (3 yd)²

A = 3.14159 × 9 yd²

A = 28.274 yards² (approximately)

Therefore, the area of the circle with a circumference of 18.84 yards is roughly 28.274 square yards.

Answer:

I would say that the answer is D

Sry if I was wrong

Step-by-step explanation:

Statement (B) the number of bottles of apple juice sold will be 6 times the number of bottles of cranberry juice sold is not supported.

Arithmetic is an area of mathematics involving the study of numbers and the different operations that can be performed on them. Addition, subtraction, multiplication, and division are the four basic math operations.

There is a total of 80 customers on Tuesday.

Total number of bottles sold on Monday = 11+7+18+4 = 40

We are assuming total customers on Monday = 40

As we can see them on Tuesday the number of customers is doubled of customers on Monday.

Kind of juice     Number of bottles sold on Tuesday:

Apple                    22

Cranberry             14

Orange                 36

Pineapple             8

Total                     80 customers on Tuesday

The number of bottles of apple juice sold will be 6 times the number of bottles of cranberry juice sold is not supported.

Thus, statement (B) the number of bottles of apple juice sold will be 6 times the number of bottles of cranberry juice sold is not supported.

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Answer: OPTION D.

Step-by-step explanation:

The missing figure is attached.

For this exercise you need to use the formula to find the surface area of a Rectangular prism. This is:

[tex]SA = 2wl + 2lh + 2hw[/tex]

Where "w" is the width, "l" is the length, and "h" is the height.

In this case you can identify in the figure given in the exercise that the length, the width and the height of this rectangular prism are the following:

[tex]l=11.73\ cm\\w=9.08\ cm\\h=3.23\ cm[/tex]

Then, knowing these values you can substitute them into the formula given above and then evaluate, in order to calculate the surface area of this Rectangular prism.

You get that this is:

[tex]SA = 2(9.08\ cm)(11.73\ cm) + 2(11.73\ cm)(3.23\ cm) + 2(3.23\ cm)(9.08\ cm)\\\\SA=347.45\ cm^2[/tex]

Answer: 2 zoos

Step-by-step explanation: Hope this helped!☺️

A stem-and-leaf plot is a graphical representation of numerical data showing the distribution. In the context of the question, it is visualizing the distribution of the number of tigers in each major zoo in the country.

A stem-and-leaf plot is a type of graph used to represent numerical data. The stem of the plot represents the first digit or digits of the data points, while the leaves represent the last digit. This form of data representation is commonly used in statistics to visualize the distribution of a set of data.

In this case, the stem-and-leaf plot that the government published is showing the distribution of the number of tigers in each major zoo in the country. Each 'stem' represents the tens place of the number of tigers and each 'leaf' represents the ones place. For example, if there is an entry of 3|4 in the plot, it means that there is a major zoo in the country that houses 34 tigers.

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Answer:

23% of student will have red hair given that the student has green eyes.

Step-by-step explanation:

We are given the following in the question:

Percentage of students that have green eyes = 65%

[tex]P(G) =0.65[/tex]

Percentage of students that have red hairs = 25%

[tex]P(R) =0.25[/tex]

Percentage of students that have green eyes and red hairs = 15%

[tex]P(G\cap R) =0.15[/tex]

We have to find the conditional probability of randomly selected  student that will have red hair given that the student has green eyes.

[tex]P(R|G) = \dfrac{P(R\cap G)}{P(G)}[/tex]

Putting values, we get,

[tex]P(R|G)=\dfrac{0.15}{0.65} = 0.2307\approx 23\%[/tex]

Thus, 23% of student will have red hair given that the student has green eyes.

Answer:

1, 000

Step-by-step explanation:

2% · x = 20

0.02 · x = 20

20/0.02 = x

x = 1000

Double-Check:

1000 · 0.02 = 20

Answer:

1,000

Step-by-step explanation:

Answer:

The planet you're describing is Mercury. It fits all the criteria of the question.

Note: If you're looking for another planet, Mars has a thin atmosphere and is rocky, but does not rotate slowly. Venus rotates very slowly and is rocky, but has a thick atmosphere. Earth doesn't have a thin atmosphere or rotate slowly, but it is rocky and dense.

Answer:

The Terrestrial or Inner Planets

Step-by-step explanation:

You are describing the terrestrial or inner planets of our Solar System. All of these planets, Mercury, Venus, Earth, and Mars are rocky and have a dense surface unlike the gas giant or outer planets, Jupiter, Saturn, Uranus and Neptune.

Answer:

5y^7x^2^y^5+1 divided by 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

C) 6.9

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

Answer: x =15.

Step-by-step explanation:

100 - 6x = 160 - 10x

-6x = 160 - 10x - 100

-6x = 60 - 10x

4x = 60

x = 15

Given:

It is given that

Probability of winning $ 0 = [tex]\frac{3}{10}[/tex]

Probability of winning $ 100 = [tex]\frac{1}{5}[/tex]

Probability of winning $ 200 = [tex]\frac{1}{10}[/tex]

Probability of winning $ 500 = [tex]\frac{2}{5}[/tex]

To find the probability of not winning a cash prize.

Explanation:

Not winning cash prize = winning $ 0

So,

Probability of not winning a cash prize

= Probability of winning $ 0

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

Therefore,

The probability of not winning a cash prize is [tex]\frac{3}{10}[/tex]. Option D.

The correct option is D. 3 / 10.The probability of not winning a cash prize when playing the game is 3/10. This is found by subtracting the total probability of winning (7/10) from 1.

To determine the probability of NOT winning a cash prize, we need to find the combined probability of all outcomes except those with a cash prize ($100, $200, $500). According to the table:

→ The probability of winning $100 is 1/5.

→ The probability of winning $200 is 1/10.

→ The probability of winning $500 is 2/5.

→ First, we calculate the total probability of winning a cash prize:

= 1/5 + 1/10 + 2/5

= 2/10 + 1/10 + 4/10

= 7/10

→ Now, the probability of NOT winning a cash prize is:

= 1 - 7/10

= 3/10

Therefore, the probability of not winning a cash prize when the game is played is Option D) 3/10.

The complete question is:

the probability distribution for a game is shown in the table below.

what is the probability of NOT winning a cash prize if the game is played on time?

Outcome :

$0

$100

$200

$500

Probability:

3/10

1/5

1/10

2/5

A) 7/10

B) 1/5

C) 4/5

D) 3/10

Answer: a 6

Step-by-step explanation:

Answer:

D. [tex]y=\sqrt{x}[/tex]

Step-by-step explanation:

A square root can't be evaluated if the number we want to find the square of  is nagative.

Answer:

Step-by-step explanation:

hello :

let : A(6,2)   and B(7,3)

the slope is :   (YB - YA)/(XB -XA)

(3-2)/(7-6)  = 1/1

the slope is : 1