10.01,10.1,10.001,1.101,10 least to
greatest

The coordinate of point R after the rotation is determined as = ( - 4, 7).

option A.

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.

You can turn a figure 90°, a quarter turn, either clockwise or counterclockwise. When you spin the figure exactly halfway, you have rotated it 180°. Turning it all the way around rotates the figure 360°.

When a figure is rotated 180 degrees, each point of the figure is moved to a new position that is exactly opposite its original position with respect to a fixed center of rotation.

The initial coordinate of point R = ( 4, 7),

The new coordinate of point R after the rotation = ( - 4, 7)

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Answer:

3a⁴b³

Step-by-step explanation:

subtract exponents and divide numbers

Answer:

y = -3/2x + 5/2

Step-by-step explanation:

Point: (5, -5)

Parallel to: y = -3/2x + 2

Slope= -3/2 (parallel lines have the same slope)

y-intercept = -5 - (-3/2)(5) (y - slope times x) =

-5 + 15/2 = 5/2

Answer:

x = -1.61

Step-by-step explanation:

Solving,

\(2 = ln(x+9)\\exponentiating,\\e^2 = e^{ln(x+9)}\\e^2 = x + 9\\x = e^2 - 9\\x = -1.61\)

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

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Answer:

The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

Step-by-step explanation:

The mean number of minutes per movie in the given sample is 117.

The correct answer is option E.

To find the mean number of minutes per movie, we need to calculate the average length of the 10 movies provided.

Given movie lengths: 101, 134, 149, 81, 149, 101, 134, 101, 149, 81

To find the mean, we sum up all the movie lengths and divide by the total number of movies:

Sum of movie lengths = 101 + 134 + 149 + 81 + 149 + 101 + 134 + 101 + 149 + 81 = 1170

Number of movies = 10

Mean = Sum of movie lengths / Number of movies = 1170 / 10 = 117

Therefore, the mean number of minutes per movie in the given sample is 117.

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The question probable may be:

He wants to estimate the average length, in minutes, per movie in his collection. So, I wrote down the length of 10 random movies. The lengths are listed below. 101, 134, 149, 81, 149, 101, 134, 101, 149, 81

Assuming that the sample was representative of the entire collection, what was the mean number of minutes per movie?

A. 91

B. 141.5

C. 118

D. 125

E. 117

Answer:

9/41

Step-by-step explanation:

Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side)  which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.

Answer:

(I can't answer if its greater than, less than, or equal to because you didn't

specify the number I have to compare to)

2. \(\frac{35}{8}\)

3. greater than

4. \(\frac{1}{9}\)

5. \(\frac{1}{6}\)

6. \(\frac{4}{5}\)

Step-by-step explanation:

The sprinter will complete the race in approximately 17.07 seconds.

To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.

Acceleration Phase:

The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:

v = u + at

Here:

v = final velocity (which is the velocity at the end of the acceleration phase)

u = initial velocity (which is 0 since the sprinter starts from rest)

a = acceleration

t = time

Rearranging the equation, we have:

t = (v - u) / a

Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:

t = v / a

Plugging in the values, we get:

t = 25 m / 1.64 m/s²

Constant Velocity Phase:

Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:

t = d / v

Here:

d = distance

v = velocity

Plugging in the values, we get:

t = 75 m / (v)

Since the velocity remains constant, we can use the final velocity from the acceleration phase.

Now, let's calculate the time for each phase and sum them up to get the total race time:

Acceleration Phase:

t1 = 25 m / 1.64 m/s²

Constant Velocity Phase:

t2 = 75 m / v

Total race time:

Total time = t1 + t2

Let's calculate the values:

t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)

Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:

v = u + at

Here:

u = initial velocity (0 m/s)

a = acceleration (1.64 m/s²)

t = time (25 m)

Plugging in the values, we get:

v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s

Now, let's calculate the time for the constant velocity phase:

t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)

Finally, let's calculate the total race time:

Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)

Therefore, the sprinter will complete the race in approximately 17.07 seconds.

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Answer:

Hi! The answer is \(1/3\) of a wall.

Step-by-step explanation:

\(1 - 2/3\)

\(= 1/3\)

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Answer:

S) 230°

T) 45°

Step-by-step explanation:

S) m∠RST = 30°.  An inscribed angle is half the central angle, so RT = 60°.

SR = 70°, so ST = SR + RT = 60° + 70° = 130°.

SPT = 360° − ST = 360° − 130° = 230°

T) m∠DCA = 60°.  An inscribed angle is half the central angle, so AD = 120°.

DB = AD − BA = 120° − 75° = 45°

In calculating the factor A variation, there are two degrees of freedom. In determining the variation of factor B, there are two degrees of freedom.

A two-factor factorial design is an experiment that collects data for all potential values of the two factors of the study. The design is a balanced two-factor factorial design if equivalent sample sizes are used for every of the possible factor combinations.

Suppose we have two components, A and B, each of which has a high number of levels of interest. We will select a random level of component A and a random level of factor B, and n observations will be taken for each experimental combination.

From the data given:

a.

In calculating the factor A variation, there are two degrees of freedom.

In determining the variation of factor B, there are two degrees of freedom.

b.

Finding the degree of freedom using the interaction variation, there are four degrees of freedom.

c.

In finding the random variable, there are 9(4-1) = 27 degrees of freedom.

d.

In calculating the total variable, there are 9*4-1 =35 degrees of freedom.

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For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer: A. XZ is longer than XY

Step-by-step explanation: quiz A-P-E-X

Answer:

C

Step-by-step explanation:

The circumferance of a circle with radius of 6cm is 37.68cm

To find:

Circumferance of a circle

Given:

Radius of circle is 6cm

Solution:

Circumference is similar to perimeter as it is the total length required to draw a circle.

Let c be the perimeter.

c = 2πr

or

c = πd

This depends on knowing the radius (r) or diameter (d).

For example, let's calculate it manually.

If r = 6 cm, the circumference in π is c = 2π(6) = 12π cm.

When expressed numerically, it is 37.7 cm after the decimal point is rounded off.

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Step-by-step explanation:

what r the answer choses??

Answer:

6x+2y=34

6x=34-2y

x=(34-2y)÷6........1st euation

2x-7y=-27.....2nd equation

putting the value of x from equation 1st in equation 2nd we will get

2(34-2y)÷6-7y=-27

68-4y-42y=-27×6

-44y=-162-68

-44y=-230

y=230÷44

y=5.2

again putting the value of x in equation 1st

6x=34-2×5.2

x=23.6÷6

x=3.9

The solution of the system is y = -11/7 and x = 79/7

One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.

Given:

A system of equations,

x = 3y + 16   {equation 1}

x + 4y = 5     {equation 2}

The value of x from the equation substituted to equation 2,

we get,

3y + 16 + 4y = 5

7y = -11

y = -11/7 and x = 79/7

Therefore, the solution is y = -11/7 and x = 79/7.

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The multiplication 3/4×8/9 can be used to address the problem in response (B). which is the correct answer that would be an option (B).

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

As per option (B),

Jada rode her bike for 3/4 mile. Sarah rode her bike 8/9 the distance that Jada rode her bike.

Sarah rides her bike = Sarah rode (8/9) of the (3/4) that Jada rode.

Sarah rides her bike = 3/4 × 8/9

Therefore, this problem can be solved by performing the above multiplication.

Hence, the correct answer would be an option (B).

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Answer:

A line that is parallel to y = 3x - 9 will have the same slope as the given line. The slope of y = 3x - 9 is 3. Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point (1, 2)

Substituting the values we get:

y - 2 = 3(x - 1)

Simplifying the equation we get:

y - 2 = 3x - 3

y = 3x - 1

Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is y = 3x - 1 .

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Answer:

She spend $21,70 on gas

Step-by-step explanation:

6.350=2100

$21,00 for 6 gallons

350:10=35

0,35

035.2=070

0,70

2100+70=2170

Answer:

-1/4

Step-by-step explanation:

you do change in y over change in x which is 4-5 over 6-2

when you do the calculations you get -1/4

Answer:

-3 = x

Step-by-step explanation:

Answer:

you could write 4.24 or anything in-between to 4.21

Step-by-step explanation:

4 1/5 is equal to 4.2 or if it helps 4.20

if it has to be smaller than 4.25 it must be between 4.21 which would be minimum for the 2 decimal places or up to 4.24 which would be closest to 4.25 as it's only one hundredth away

f(x) = x² and g(x) = 9x + 7

(fog) (x) = h(x)

h(x) = (9x + 7)²

To get the two functions, we need to understand that the function g(x) will be inserted in function f(x) to get (fog)(x)

g(x) = 9x + 7

This is the function that will be inserted into f(x)

Since we have a square, the function of f(x) will have a square

f(x) = x²

Putting both together, replace x with (9x + 7) in f(x)

(fog)(x) = (9x + 7)²

Hence, f(x) = x² and g(x) = 9x + 7

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