which is a translation of f(x)=|x|. Write the function rule for g(x)

The slant height of the cone is 12.6 units

What are solids ?

A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.

h= 12

diameter = d = 8

so, radius, r = d/2 = 8/2 = 4

Formula for slant height , l is:

l = √(h² + r²) = √(12² + 4² )

 = √(144 + 16) = √160 = 12.649 ≈ 12.6 units

The slant height of the cone is 12.6 units

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The percent of the front page taken up by the prom story is 20%

From the question, we have the following parameters that can be used in our computation:

The front page

From the front page, we have

Area front page = 5 * 4

Area front page = 20

Also, we have

Prom = 2 * 2

Prom = 4

So, we have

Percentage = 4/20 * 100%

Evaluate

Percentage = 20%

Hence, the percent of the front page taken up by the prom story is 20%

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Answer:

123.7 meters

Step-by-step explanation:

If you draw a diagram, this will be a rectangle and the line across cuts it into a right triangle, with a base of 120 and a height of 30. The need to know the length of the hypotenuse of the triangle, so we can use the pythagorean theorem.

30^2 + 120^2 = c^2

c=123.7

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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Answer: 30 minutes

Step-by-step explanation:

The value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

In the given table, Tasha observed a pattern in the powers of 4. When the exponent decreases by 1, the previous value is divided by 4. Using this pattern, she determined the values for 4 squared, 4 Superscript 1, 4 Superscript 0, 4 Superscript negative 1, and 4 Superscript negative 2.

To find the value of 4 Superscript negative 3, she divided the previous value (StartFraction 1 Over 16 EndFraction) by 4, resulting in StartFraction 1 Over 64 EndFraction.

Similarly, for 4 Superscript negative 4, she divided the previous value (StartFraction 1 Over 64 EndFraction) by 4, yielding StartFraction 1 Over 256 EndFraction.

Finally, to rewrite the value for 4 Superscript negative 4, she expressed it as negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

Therefore, the value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction, which simplifies to StartFraction 1 Over 256 EndFraction

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Answer:

594

Step-by-step explanation:

A=πrl+πr²

(22/7×9×12)+(22/7×9²)

=594

Answer: depends how often you meet someone

Step-by-step explanation: You can multiply 2 times 2 and if you know the answer to that multiply that times the number of times u meet someone and divide by 2.

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

22

The equation of the circle with a center at the point (-7,8) and a radius of 4 units is (x + 7)² + (x - 8)² = 16.

The standard form of a circle with a center at (h,k) and a radius r is

(x - h)² + (x - k)² = r².

Since we have center as a point A which is (-7,8) and radius of circle as 4 units ,

h = -7

k = 8

r = 4

Thus the equation of circle is,

(x -(-7))² + (x - 8)² = 4²

This equation simplifies to be ,

(x + 7)² + (x - 8)² = 16

A circle is a two-dimensional object made up of points that are spaced out from a given point (centre) on the plane by a fixed or constant distance (radius). The fixed point is referred to as the circle's origin or center, and the fixed distance between each point and the origin is referred to as the radius.

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Answer:

5

Step-by-step explanation:

24 divided by 3 is 8

so 15 divided by 3 is 5

Answer: 8

Step-by-step explanation:

I do not understand the question. But if my interpretation is correct, then:

If there are 64 players and 3 rounds, 32 will get out in the first round. 16 will get out in the second, and 8 will get out on the third. Thus, the answer is 64-(32+16+8) or just simply 8.

Answer:

The transcription of the directions for Lantanoprost 0.005% ophthalmic solution is as follows:

"Sig: ii drops o.u. daily h.s."

This means to use the medication as follows:

"ii drops" = two drops

"o.u." = both eyes

"daily" = once a day

"h.s." = at bedtime (from the Latin "hora somni")

So the complete directions would be:

"Instill two drops in both eyes once a day at bedtime."

Answer: The missing digit is 2.

Step-by-step explanation:

4,912*22= 108,064

Answer:

f(x)=(x−3)(x+1)(x−1)(x+2)

Step-by-step explanation:

The number of steps they climbed can be represented by positive

From the question, we understand that they climbed up

Upward movements are usually represented by the positive sign

This means that:

Steps = 125 or +125

Hence, the number of steps they climbed can be represented by positive

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The system of equations which this graph represent include the following:

A. y = x² + 2

   y = x + 4

In Geometry, the point-slope form of a straight line can be calculated by using this equation:

y - y₁ = m(x - x₁)

Where:

First, we would find the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 3)/(2 + 1)

Slope (m) = 3/3

Slope (m) = 1.

At data point (-1, 3) and a slope of 1, an equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3 = -1(x + 1)

y = -x + 4

For the quadratic equation, we have;

y = a(x - h)² + k

6 = a(-2 - 0)² + 2

4 = a4

a = 4/4

a = 1

Therefore, the required quadratic function is given by:

y = a(x - h)² + k

y = (x - 0)² + 2

y = x² + 2

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

7x+5< -8x+6

=15x<1

The equivalent inequality is 15x<1. Therefore, option D is the correct answer.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is 7x+5<-2(4x-3).

Now, 7x+5<-8x+6

Subtract 5 on both the sides of an inequality, we get

7x<-8x+1

Add 8x on both the sides of an inequality, we get

7x+8x<1

15x<1

Therefore, option D is the correct answer.

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Answer:

Step-by-step explanation:

sinP = ST/PS = RQ/PQ

Answer:

Step-by-step explanation:

The mean decreases from the original value.  The median stays the same.

(a) To find the new mean, we need to add up all the numbers in the list (except for the 523 that changed to 424) and divide by the number of schools (which is still 9). So the new mean is:

(164 + 225 + 227 + 250 + 261 + 268 + 277 + 379 + 424) / 9 = 272.89

The mean decreases from the original value.

(b) To find the new median, we need to arrange the numbers in order again:

164, 225, 227, 250, 261, 268, 277, 379, 424

The median is the middle value, which is still 261. So the median stays the same.

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The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

Brian is constructing figures inscribed in circle C.

Equilateral triangle MNQ inscribed in circle C:

This option is possible since the points M, N, and Q are labeled and they lie on circle C.

Equilateral triangle ANP inscribed in circle C:

This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.

Regular hexagon AMNBPQ inscribed in circle C:

This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.

Square MNPQ inscribed in circle C:

This option is not possible based on the given information. The label points do not form a square.

Square ANBQ inscribed in circle C:

This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

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Answer

925 students brought their lunch.

Explanation

First let's rewrite the equation.

You know that "of" means multiply and "is" means equal.

Okay, so let's break it down.

The question says, "At your school, 74% of students brought their lunch at the cafeteria. There are 1250 students in the school."

This means that 74% of 1250 students brought their lunch at the cafeteria.

You are trying to find how many students brought their lunch. This will be x.

So the equation would be this.

74% × 1250 = x

74% is 0.74.

0.74 × 1250 = x

0.74 × 1250 = 925

So 925 students brought their lunch.

Answer:

O a=0

Step-by-step explanation:

The x-intercepts and the y-intercept of the cubic function f(x) = x³ - 9·x² + 20·x - 12 for which (x - 6) is a factor are;

A function is a rule that uniquely maps each value from the set of input variables to exactly one value in the set of the output variables.

The specified cubic function is; f(x) = x³ - 9·x² + 20·x - 12

A factor of f(x) = x - 6

The x-intercepts are the points on the graph of the function, where the value of the function, f(x) = 0, which are found as follows;

At the x-intercept, f(x) = x³ - 9·x² + 20·x - 12 = 0

x³ - 9·x² + 20·x - 12

Dividing the cubic function by the factor (x - 6), we get;

          x² - 3·x + 2

(x - 6) | x³ - 9·x² + 20·x - 12

   \({}\)       x³ - 6·x²

\({}\)                 -3·x²

\({}\)                 -3·x² + 18·x

                    \({}\)       2·x  

\({}\)                            2·x - 12

\({}\)                                      0

The other factor of the cubic function is; x² - 3·x + 2

x² - 3·x + 2 = (x -2)·(x - 1)

Therefore;

f(x) = x³ - 9·x² + 20·x - 12 = (x - 6)·(x - 2)·(x - 1)

From which at the x-intercepts, we get;

f(x) = (x - 6)·(x - 2)·(x - 1) = 0

x = 6, x = 2, and x = 1

The y-intercept are the points the x-values is zero, therefore, at the y-intercepts, we get;

f(0) = 0³ - 9·0² + 20·0 - 12 = -12

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Answer:

Riley has 4 times the amount of stickers her sister has

Step-by-step explanation:

220 divided by 55 is 4

The translations that map to the four tiles are 1 to 2: (x,y) → (x + 2, y), 1 to 4: (x,y) → (x, y + 2), 1 to 6: (x,y) → (x + 4, y + 2) and 1 to 8: (x,y) → (x + 2, y + 4)

From the question, we have the following parameters that can be used in our computation:

The graph

From 1 to 2, we can see that the figure is shifted to the right by 2 units

This is represented as

1 to 2: (x,y) → (x + 2, y)

From 1 to 4, we can see that the figure is shifted up by 2 units

This is represented as

1 to 4: (x,y) → (x, y + 2)

From 1 to 6, we can see that the figure is shifted up by 2 units and shifted right by 4

This is represented as

1 to 6: (x,y) → (x + 4, y + 2)

From 1 to 8, we can see that the figure is shifted up by 4 units and shifted right by 2

This is represented as

1 to 8: (x,y) → (x + 2, y + 4)

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Answer: it would help if you added an image

Step-by-step explanation:

Answer:

Where is the cylinder?

Step-by-step explanation: