Find the exact value of the sine function of the given angle. 2220° sin 2220°=

Answer:

97,288

Step-by-step explanation:

if im pretty sure like they subtract

Answer:

97,288

Step-by-step explanation:

Answer:

\(\frac{68285}{44}\) or \(1551.93181818...\)

Step-by-step explanation:

\(\frac{9755}{2(\frac{22}{7})}\\\\\)

The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates. The correct option is C.

The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.

The meaning of Ro.-90° ry, is that the figure is reflected across the y-axis, and then rotated about the origin by 90° in the clockwise direction, therefore, the figure will again lie in the third quadrant.

Hence, the correct option is C.

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Answer:

it is option no d at least

cuz it is what it is

Answer:

\( \sqrt{2} \)

Step-by-step explanation:

use the distance formula

\(d = \sqrt{ {(x2 - x1)}^{2} } + {(y2 - y1)}^{2} \)

\(d = \sqrt{ {(2 - 1)}^{2} + {(3 - 4)}^{2} } \)

\(d = \sqrt{ {(1)}^{2} + {( - 1)}^{2} } \)

\(d = \sqrt{1 + 1} \)

\(d = \sqrt{2} \)

Answer:

The table represents a linear function because the graph shows a constant rate of change. The rate of change is increasing, as each increase in x produces an increased output in y, and a decrease in x produces a decrease in y. This indicates that the data represents a linear function.

Answer:The required table represents a linear function because the graph shows a constant rate of change.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,

To determine whether the data in the following table represents a linear or nonlinear function we have to evaluate the rate of change between the ordered pairs, for a linear function rate of change must be constant or else the function will be nonlinear.

Rate  of change for (-4, 4) and (-1,2.5)

= 2.5 - 4 / -1 + 4

= 1.5/3

= 1 / 2

Similarly, the rate of change between all other points is also 1/2

Thus, the required table represents a linear function because the graph shows a constant rate of change.

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The probability that a randomly selected gas station in Russia charges more than the mean price in the United States is approximately 0.0495 or 4.95%.

For the United States:

Mean price (μ) = $3.73

Standard deviation (σ) = $0.25

Probability that a randomly selected gas station in the United States charges less than $3.50 per gallon:

To find this probability, we need to standardize the value $3.50 using the z-score formula: z = (x - μ) / σ

z = ($3.50 - $3.73) / $0.25

z = -0.23 / $0.25

z = -0.92

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of -0.92. The probability is the area under the standard normal curve to the left of -0.92.

Using the standard normal distribution table or calculator, we find that the probability is approximately 0.179.

Therefore, the probability that a randomly selected gas station in the United States charges less than $3.50 per gallon is approximately 0.179 or 17.9%.

For Russia:

Mean price (μ) = $3.40

Standard deviation (σ) = $0.20

Percentage of gas stations in Russia that charge less than $3.50 per gallon:

We'll follow the same approach as before and standardize the value $3.50 using the z-score formula: z = (x - μ) / σ

z = ($3.50 - $3.40) / $0.20

z = 0.10 / $0.20

z = 0.50

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 0.50. The probability is the area under the standard normal curve to the left of 0.50.

Using the standard normal distribution table or calculator, we find that the probability is approximately 0.6915.

Therefore, the percentage of gas stations in Russia that charge less than $3.50 per gallon is approximately 0.6915 or 69.15%.

Probability that a randomly selected gas station in Russia charges more than the mean price in the United States:

To find this probability, we need to standardize the mean price in the United States using the z-score formula: z = (x - μ) / σ

z = ($3.73 - $3.40) / $0.20

z = 0.33 / $0.20

z = 1.65

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.65. The probability is the area under the standard normal curve to the right of 1.65.

Using the standard normal distribution table or calculator, we find that the probability is approximately 0.0495.

Therefore, the probability that a randomly selected gas station in Russia charges more than the mean price in the United States is approximately 0.0495 or 4.95%.

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Answer:

Point of information.

Step-by-step explanation:

A point of information (POI) is a question or a statement, that is raised while a speaker of the opposing team is speaking. You are allowed to raise a POI at any time in the speech, but not during the protected time. Protected are the first and the last minute of the speech.

Hope this helped!

Answer

Explanation

Debby has 15 yards in total to make pillow cases.

Each pillow case requires (8/9) yard.

How much yard is left after she makes as many pillowcases as she can.

1 pillowcase = (8/9) yard

We need to obtain how many pillowcases 15 yards can make.

That is obtainable by dividing 15 by (8/9).

Hence, 16.875 pillowcases of (8/9) yards each, are obtainable from 15 yards.

Since pillowcases cannot exist in fraction, the 0.875 pillowcase has to be extra yards of fabric.

1 pillowcase = (8/9) yard

0.875 pillowcase = 0.875 × (8/9) = (7/8) × (8/9) = (7/9) or 0.778 yards.

Hence, the number of yards that will be left after making as many

a. The distance between the first and second base is 90 feet.

b. Yes, 8100 is a perfect square because it has a whole number as the value of its square root

A square is simply a quadrilateral shape with all it sides and angles congruent or equal.

The formula for area of a square is expressed as;

Area = a^2

Where a is the length of its side

From the information given, we have that;

a. The distance between the first and second base is simply the length of its side and we can determine the distance by finding he length of the side of the square.

8100 = a ^2

a = √ 8100

a = 90 feet

b. Yes, 8100 is a perfect square because it has a whole number as the value of its square root.

Thus, the distance between the first and second base is 90 feet.

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a)Pˣ =  \(\begin{bmatrix}0.1 & 0.5 & 0.04 & 0.28 & 0.03 & 0.05\\0 & 1 & 0 & 0 & 0 & 0\\0.22 & 0 & 0.33 & 0.17 & 0.1 & 0.19\\0.7 & 0 & 0.43 & 0.3 & 0 & 0.57\\0 & 0 & 0 & 0 & 1 & 0\\0 & 0 & 0 & 0 & 0 & 1\end{bmatrix}\)  in matrix form, using eigen-values.

b)state 2 is 0.75; state 5 is 0 and ;state 6 is 0.25.

a)In order to calculate the value of Pˣ, follow the below-given steps:

Step 1: Compute the eigen-values of the matrix P.

Here, we get λ = 1, λ = 0.6, λ = 0.4, λ = 0.1, λ = 0, λ = 0.

Step 2: Compute the eigen-vectors corresponding to each eigenvalue of the matrix P.

Step 3: Compute the diagonal matrix D and the transition matrix T. \(\begin{matrix}1 & 0 & 0 & 0 & 0 & 0\end{matrix}0.6\)

\(\begin{matrix}0.58 & 0.25 & 0.72 & 0 & 0 & 0\end{matrix}0.4.\)

\(\begin{matrix}0.07 & 0 & 0.04 & 0.7 & 0 & 0\end{matrix}0.1.\)

\(\begin{matrix}0.35 & 0.75 & 0.56 & 0 & 1 & 0\end{matrix}0.\)

\(\begin{matrix}0 & 0 & 0 & 0.3 & 0 & 1\end{matrix}\)

Pˣ = T . Dˣ . T⁻¹

We get the following matrix as a result.  

Pˣ =  \(\begin{bmatrix}0.1 & 0.5 & 0.04 & 0.28 & 0.03 & 0.05\\0 & 1 & 0 & 0 & 0 & 0\\0.22 & 0 & 0.33 & 0.17 & 0.1 & 0.19\\0.7 & 0 & 0.43 & 0.3 & 0 & 0.57\\0 & 0 & 0 & 0 & 1 & 0\\0 & 0 & 0 & 0 & 0 & 1\end{bmatrix}\)  

b)If the process starts in state 3,

the probability that it will be absorbed in state 2 is 0.75,

the probability that it will be absorbed in state 5 is 0, and

the probability that it will be absorbed in state 6 is 0.25.

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Answer: 2x2x2x2x2=10 10 diveded by 8= 1.25

Answer:

1.25

Step-by-step explanation:

Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

Answer:

2x-y+2= 0

Step-by-step explanation:

(-5,-2)=(x1, y1)

(3, 14) =(x2, y2)

now,

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

=14+2 / 3+5

= 16 /8

=2 units

passing point = (-5,-2) = x1,y1

now,

eqn of the line can be represented as,

y -y1 = m (x-x1)

y +2 = 2 (x +5)

y+2 = 2x +10

y = 2x+10-8

0 = 2x+2-y

2x-y+2 =0 is the required eqn

Answer:

licker 90000000000000000

Answer:

8

Step-by-step explanation:

5x - 2y

5 ( 2 ) - 2 ( 1 )

10 - 2

8

The normal distribution calculation for the area shows the computer center should purchase the new computers to meet the usage needs.

Mean time of computer usage (μ) = 36 minutes

Standard deviation (σ) = 5 minutes

Number of uses recorded each week = 10,000

To determine whether the computer center should purchase new computers,

Calculate the probability of recording more than 2000 uses of longer than 40 minutes at each sitting in a week.

To find the probability, standardize the value of 40 minutes using the z-score formula,

z = (x - μ) / σ

where x is the value we are interested in (40 minutes),

μ is the mean (36 minutes),

and σ is the standard deviation (5 minutes).

Plugging in the values, we get,

z = (40 - 36) / 5

= 4 / 5

= 0.8

Next, find the area under the normal distribution curve to the right of the z-score of 0.8.

This represents the probability of recording computer usage longer than 40 minutes.

Using a standard normal distribution calculator, the area to the right of 0.8 is approximately 0.2119.

To find the number of uses longer than 40 minutes,

multiply this probability by the total number of uses recorded each week,

Number of uses longer than 40 minutes

= 0.2119 × 10,000

≈ 2119

Since the number of uses longer than 40 minutes is approximately 2119, which is greater than 2000.

Therefore, using normal distribution the computer center should purchase the new computers to meet the usage needs.

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Answer:

9

Step-by-step explanation:

The line plot shows the frequency distribution of the number of roses purchased per day at a grocery store. The dots above each number on the line plot represent the number of days that the corresponding number of roses were purchased.

Since the line plot only displays discrete data, the best measure of variability would be the range, which is the difference between the maximum and minimum values. In this case, the maximum value is 10 (with one dot above it), and the minimum value is 1 (with two dots above it), so the range is 10 - 1 = 9.

Therefore, the correct answer is: The range is the best measure of variability, and it equals 9.

Answer: b! range and its 9

Step-by-step explanation:

Answer:

Two thirds of a bag.

Step-by-step explanation:

1/2 * 2 = 1

1/3 * 2 = 2/3

Hope this helped!

The approximate solution to the given equation after three iterations of successive approximations is when x is about -37/16.

In the given question, we have to find in which value of x, the approximate solution to the given equation after three iterations of successive approximations.

The given function is

2/(x+4) = 3^x + 1

As we know that,

The technique known as the iteration method uses the beginning value to generate a number of subsequent approximations of the equation's solution.

Now subtract 3^x + 1 on both side, the function is

f(x) = -3^x - 1 + 2/(x+4)

Now differentiating the function f(x) with respect to x

f'(x) = -3^xIn3 - 2/(x+4)^2

Here, for this function

x             0,           -1,                -2,          -3    

x          -1.5,       -0.667,        -0.111,       0.963    

As we can see on the table that,

f(-3) = 0.963>0

f(-2) = -0.111<0

So the root of the function lies between -3 and -2.

So x(0) = -3+(-2)/2

x(0) = -3-2/2

x(0) = -5/2

x(0) = -2.5

This value is more near to the value -37/16 from the given option.

So, the approximate solution to the given equation after three iterations of successive approximations is when x is about -37/16.

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The complete question is given below:

After three iterations of successive approximations, the approximate solution to the given equation is when x is about 1.702

The given equation is x^3-x-1=0. To solve it using successive approximations, we need to start with an initial guess for the solution. Let us assume x0=1 as the initial guess. We can now calculate the successive approximations using the formula xn+1=xn-f(xn)/f'(xn).

In this case, f(x)=x3-x-1 and f'(x)=3x2-1.

For x0 = 1, x1 = x0 - f(x0)/f'(x0) = 1 - (1-1-1)/(3*12-1) = 2.

For x1 = 2, x2 = x1 - f(x1)/f'(x1) = 2 - (8-2-1)/(3*22-1) = 1.732

For x2 = 1.732, x3 = x2 - f(x2)/f'(x2) = 1.732 - (5.829-1.732-1)/(3*1.7322-1) = 1.702.

Therefore, after three iterations of successive approximations, the approximate solution to the given equation is when x is about 1.702.

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Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x  =  − 20

Step-by-step explanation:

Hope this helps! Have a great day!

Answer:

x= -20

Step-by-step explanation:

give the person before me brainlist

Answer:

if five integers are selected from the first eight positive integers, there must be a pair of these integers with a sum equal to 9

Step-by-step explanation:

Divisibility rule of 2-last digit divisibility

Divisibility rule of 3-sum of digit divisibility

Divisibility rule of 4-last 2 digits divisibility

Divisibility rule of 5-last digit 0 or 5

Divisibility rule of 6-divisible by both 2 and 3

Divisibility rule of 9-sum of digits divisibility

Divisibility rule of 10-last digit 0

Now we can see that last digit 6 is divisible by 2

2+6+1+6=15 is divisible by 3

16 is divisible by 4

6 is not 0,5 so 2616 is not divisible by 5

2616 divisible by both 2 and 3 so its divisible by 6

2+6+1+6=15 is not divisible by 9

6 is not 0 so 2616 is not divisible by 10

Hope it helped!

Answer:

It's divisible by 2, 3, 4, and 6 (not divisible by 5, 9 or 10)

Answer:

B

Step-by-step explanation:

It shows the P moving to the right three units without flipping it.

Answer:

(1) - C, \((3,\frac{\pi}{6})\)

(2) - B, \((0,-2)\)

Step-by-step explanation:

\(\text{Using the following conversions:}\\\boxed{\left\begin{array}{ccc}\text{\underline{Rect. to Polar:}}\\(x,y)\rightarrow(r, \theta)\\\\r=\sqrt{x^2+y^2}\\\\\theta=\tan^{-1}(\frac{y}{x})\end{array}\right} \ \ \boxed{\left\begin{array}{ccc}\text{\underline{Polar to Rect.:}}\\(r, \theta)\rightarrow(x,y)\\\\x=r\cos \theta\\\\y=r \sin\theta\end{array}\right}\)

Note that when doing these calculations, make sure your calculator is in radians mode.

Question #2:

Given:

\((\frac{3\sqrt{3} }{2} ,\frac{3}{2} ) \ \text{in} \ (x,y)\)

\((\frac{3\sqrt{3} }{2} ,\frac{3}{2} )\\\\\Rightarrow r=\sqrt{(\frac{2\sqrt{2} }{2})^2+(\frac{3}{2})^2} \\\\\Longrightarrow r=\sqrt{\frac{27}{4} +\frac{9}{4} } \\\\\Longrightarrow r=\sqrt{9}\\\\\therefore \boxed{ r=3}\\\\\Rightarrow \theta=\tan^{-1}(\frac{\frac{3}{2}}{\frac{3\sqrt{3} }{2}})\\\\\Longrightarrow \theta=\tan^{-1}(\frac{\sqrt{3} }{3})\\\therefore \boxed{\theta=\frac{\pi}{6} }\)

Thus, the correct option is C.

\(\boxed{\boxed{(3,\frac{\pi}{6})}}\)

Question #3:

Given:

\((2,\frac{3\pi}{2} ) \ \text{in} \ (r,\theta)\)

\((2,\frac{3\pi}{2} ) \\\\\Rightarrow x=(2)\cos(\frac{3\pi}{2})\\\\\Longrightarrow x=(2)(0)\\\\\therefore \boxed{x=0}\\\\\Rightarrow y=(2)\sin(\frac{3\pi}{2})\\\\Longrightarrow y=(2)(-1)\\\\\therefore \boxed{y=-2}\)

Thus, the correct option is B.

\(\boxed{\boxed{(0,-2)}}\)

The inverse of the function is \(\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right]\)

For a 2 by 2 matrix, the inverse is generally expressed as:

\(\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] ^{-1}=\frac{1}{ad-bc}\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right]\)

Since the given matrix is a square matrix and 2 by 2, therefore it will have an inverse.

Determine the determinant

|A| = 5(5) - 2(12)

|A| = 25 - 24

|A| = 1

Substitute the values into the formula above

\(\left[\begin{array}{ccc}5&12\\2&5\\\end{array}\right] ^{-1}=(1)\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right]\)

Hence the inverse of the function is \(\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right]\)

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Answer:

3 qt

Step-by-step explanation:

Let's stick to one unit to facilitate things. I'm going to use quarts as the unit.

1 gal = 4 qt

Initial value = 3 gal 2 qt = 14 qt

Change = 2 gal 3 qt = 11 qt

14 qt - 11 qt = 3 qt

Answer:

6x(4x+5)-25

Step-by-step explanation:

Step-by-step explanation:

first distribute the 2 on the left

8x+10 = 3x-25

subtract the 3x from both sides

5x+10 = -25

subtract 10 from both sides

5x = -35

divide both sides by 5 to solve for x

x = -7

check your answer by substituting into the original equation.

2(-28+5) = -21-25

distribute

-56+10 = -21-25

solve

-46 = -46