What does the transformation f(x)↦f
1
8
x do to the graph of f(x)?

The value of the given expression will be 9 x 10^7 m^2/s^2 min^2.

We can simplify the expression as follows:

First, simplify the units of the second term:

(2.50 x m/s^2) (1000 km/1.00 x 10^3 m) = (2.50 x m/s^2) (1000 x 10^3 m/km) = 2500 x m^2/s^2

Next, simplify the units of the third term:

(60.0 s/1.00 min)^2 = (60.0 s)^2/1.00 min^2 = 3600 s^2/min^2

Finally, multiply the two terms to obtain the final expression:

2500 x m^2/s^2 x 3600 s^2/min^2 = 9 x 10^7 m^2/s^2 min^2.

So, the expression evaluates to 9 x 10^7 m^2/s^2 min^2.

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The probability that a student chosen at random plays both football and cricket is 7/20.

The probability that a student chosen at random plays both football and cricket can be found by using the formula for conditional probability:

P(football and cricket) = P(football | cricket) * P(cricket), where P(football | cricket) is the probability of playing football given that the student plays cricket, and P(cricket) is the probability of playing cricket.

Out of the 21 students who play cricket, 14 of them play football as well, so P(football | cricket) = 14/21.

The probability of playing cricket is P(cricket) = 21/40 since there are 40 students in total and 21 of them play cricket. So, the probability that a student chosen at random plays both football and cricket is P(football and cricket) = (14/21) * (21/40) = 14/40 = 7/20.

Therefore, the main answer is the probability that a student chosen at random plays both football and cricket is 7/20.

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Correct question:

In a class, there are 10 students who play football and cricket

7 who do not play football or cricket

14 students who play football

21 students who play cricket

find the probability that a student chosen at random plays football and cricket.

The value of variance Var(X) is 2

We know that the mean is nothing but the central value of the data and the variance represents the deviation of the data from the mean.

As we know Var(X) = E(X²) − (E(X))²

So, Var(X²) would be,

Var(X²) = E((X²)²) − (E(X²))²

Var(X²) = E(X⁴) − (E(X²))²

Substitute the values Var(X²) = 5 and E(X⁴) = 14 in above equation.

5 = 14 - (E(X²))⁴

(E(X²))² = 14 - 5

(E(X²))² = 9

E(X²) = 3

Now we subatitute the values E(X²) = 3 and E(X) = 1 in equation Var(X) = E(X²) - (E(X))²,

Var(X) = 3 - (1)²

Var(X) = 3 - 1

Var(X) = 2

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The complete question is:

You are told that E(x) = 1 Var(x²) = 5,and E(x⁴) = 14.What is Var(x) (the answer is an integer)?

If the initial population is 3800. The population of cockroaches after 3 years will be 1603.

Consider the function:

y = a(1 ± r)ⁿ

where n is the number of times growth/decay, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, there is exponential growth happening by r fraction or r%.

If there is a minus sign, there is exponential decay happening by r fraction or r%.

If the population is currently 3,800 cockroaches.

The expression is given as

y = 3800(0.75)ⁿ

The population of cockroaches after 3 years will be

y = 3800(0.75)³

y = 3800 x 0.4218

y = 1603.125

y ≅ 1603

Hence, the population of cockroaches after 3 years will be 1603.

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The complete question is:

Colette has an exterminator visit regularly to control an ongoing cockroach problem. it's been working, and the population has declined by 15% every year. if the population is currently 3,800 cockroaches, how many will there be in 3 years? if necessary, round your answer to the nearest whole number.

The base of the ramp is 45.34 inches long.

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: Height of the tramp= 13 in. and angle of elevation at the base =16°

Now we know that Tan 16= 13/base ( tan ∅ = perpendicular/base)

∴ Base= 13/tan 16

           =45.34 inches

Hence, The base of the ramp is 45.34 inches long.

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Answer:

6x + 96

Step-by-step explanation:

X represents 1 ticket, and since there are 6 tickets you multiply them, which equals to 6x.

Next, they bout travel insurance that cost $16 for one ticket, and since there are 6 tickets, multiply 16 x 6.

The total cost is the ticket price and the travel insurance so it would be:

6x + 96

It's got to be B or C, since those are the ones with m = -7/3

If you plug in (6,5) into B, you'd have:

    5 = -7/3 (6) + 9

    5 = -14 + 9

    5 = -5

That didn't check.

If you plug (6,5) into C, you'd have:

    5 = -7/3 (6) + 19

    5 = -14 + 19

    5 = 5

That does check.

The answer is C.

If you prefer, you could also solve for slope-intercept form:

   y = -7/3 x + b and plug in (6,5):

   5 = -7/3 (6) + b

   5 = -14 + b

  19 = b

Again, this gives the answer of C: y = -7/3 x + 19

The height of the cylinder is 2 m.

The surface area of a cylinder is [tex]48 \pi m^{2}[/tex]

The distance around the base of the cylinder is 5π m and the diameter of a base of the cylinder is 8 meters.

The total surface area of a cylinder is equal to the sum of the areas of all its faces. The total surface area with radius ‘r’, and height ‘h’ is equal to the sum of the curved area and circular areas of the cylinder.

Let's call the height of the cylinder "h". The surface area of a cylinder can be calculated as

Since the diameter of the base is 8 meters, the radius is 8/2 = 4 meters.

We know the surface area of the cylinder is 48π m², so we can use this information to find h:

⇒[tex]48 \pi = 2 \pi(4)h + 2 \pi(4)^{2}[/tex]

Expanding and simplifying the equation:

⇒48π = 8πh + 32π

Subtracting 32π from both sides:

⇒16π = 8πh

Dividing both sides by 8π:

⇒h = 2

So the height of the cylinder is 2 meters, expressed as a simplified fraction, h = 2 m

Therefore, the height of the cylinder is 2 m.

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The correct answer is option D. Dean is incorrect because the graph is symmetrical.

A symmetrical graph is one that looks the same on both sides of a centre line. This indicates that the y-values of the points on the graph that are the same distance from the centre line are the same. This results in a symmetrical graph that is aesthetically consistent and easy to understand.

In the given question, Dean is mistaken since the graph is symmetrical. The graph depicts a bell-shaped distribution, with the highest frequency of values grouped around the centre and decreasing frequencies at both ends. Also, the intervals 0-9 and 80-89 have a 0 frequency. The graph, however, does not show a peak; instead, it displays a cluster of numbers ranging from 30 to 60.

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Annabeth's bi-weekly gross earnings, including overtime compensation, would be $1,097.56.

Amount is a term used to describe a quantity or size of something. It is used to refer to a number of objects, items, or people, as well as a measure of money, time, or distance. Amount is also used to describe the total sum of money that is owed, received, or spent.

This amount is calculated by multiplying her hourly rate of $21.84 (which is determined by dividing her bi-weekly gross earnings of $913.45 by 40 hours) by 47 hours, which is the total number of hours worked in the week. Then, her overtime compensation of 7 hours is multiplied by her hourly rate of $21.84 multiplied by 1.5, which is the rate for time-and-a-half. The sum of these two amounts is her bi-weekly gross earnings with overtime, which is $1,097.56.

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Parallelogram is the closed shaped quadrilateral which has opposite site equal and the opposite angle are equal. The value of the x is 3 units.

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus. Angle T for a parallelogram is (40x+2) degrees.

R is a 122 degree angle.

[tex]$$\angle T=\angle R$$[/tex]

Put the values of the angle in the above equation. Thus,

[tex]& 40 x+2=122 \\[/tex]

[tex]& 40 x=122-2 \\[/tex]

[tex]& 40 x=120 \\[/tex]

[tex]& x=\frac{120}{40} \\[/tex]

[tex]& x=3[/tex]

Hence the value of the x is 3 .

The complete question is,

Solve for X. Each figure is a parallelogram.

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You can accurately conclude about this association that the positive correlation is interesting, but it does not give an explanation.

Any statistical association between two arbitrary variables or bivariate data, whether unproductive or not, is appertained to in statistics as correlation or reliance. Although" correlation" can mean any kind of association in the broadest sense, in statistics it generally refers to the strength of a brace of variables' direct connections.

Exemplifications of common dependent marvels include the relationship between parent and child height and the relationship between a good's price and the number of units buyers are prepared to buy, as seen by the so- called demand wind.

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The exponential equation that is equivalent to the logarithmic equation is e^x = 9.45

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

x = In 9.45

Take the exponent of both sides

e^x = 9.45

Hence, the equivalent equation is e^x = 9.45

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For the above coordinate sets, the translation rule is (x,y)⇒(x+11,y-10).

A translation is a sort of transformation that involves sliding each point in a figure the same distance in the same direction. A translation is a transformation that moves every point in a figure in the same direction by the same amount. For example, this transformation shifts the parallelogram 5 units to the right and 3 units up. Translation in geometry refers to shifting a form into a different place without affecting it in any manner. Shape translation is presented to Year 5 students by providing them shapes on squared paper that must be moved a specified number of squares up, down, left, or right.

Here,

(x,y)⇒(x+11,y-10)

The translation rule for the given sets of coordinates is (x,y)⇒(x+11,y-10).

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The integral of a vector field along a curve can be calculated using the concept of line integrals.

The line integral of a vector field F along a curve C is defined as the sum of the dot product of the vector field and the infinitesimal change in position along the curve.

In the case of the vector field F(x,y) = i + xj, the line integral from point A to point B can be calculated as follows:

∫_C F(x,y) • dr = ∫_A^B (i + xj) • dr = ∫_A^B i dx + xj dx

Here, dr represents the infinitesimal change in position along the curve C, and the integrand represents the dot product of the vector field and the change in position.

The line integral can be evaluated using numerical methods or using Green's theorem, which relates the line integral of a vector field along a closed curve to the double integral of the curl of the field over the region enclosed by the curve.

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Answer:

127 ft

Step-by-step explanation:

A line from first base to third base , divides the square into 2 right triangles.

using Pythagoras' identity on the top right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

here the hypotenuse (h) is the line connecting first base to third base and both legs of the triangle are 90 ft , then

h² = 90² + 90² = 8100 + 8100 = 16200 ( take square root of both sides )

h = [tex]\sqrt{16200}[/tex] ≈ 127 ft ( to the nearest foot )

The required number of students could be participating in the art show are 110.

Canvas is a very sturdy plain-woven fabric that is used to make sails, tents, marquees, backpacks, shelters, supports for oil paintings and other goods that require toughness, as well as in shoes, handbags, and other items of fashion.

The college purchases 465 canvases. They want to provide teachers 24 canvases. For every student, they ordered at least 4 canvases.

Then, it can be expressed as

Let the number of students = x

4x + 24 = 465

4x = 441

x = 110.25

Thus, there are 110 students in the school.

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Y intercept is the Y value when x is equal to 0. In the point (0,1) x is 0 and y is 1, so the y-intercept is 1.Slope is-1/4.

When a line crosses the y-axis on a graph, that location is known as the y-intercept.It is always 0 for the associated x-coordinate.

By calculating rise over run, the slope can be determined.This is accomplished by splitting the discrepancies between the y- and x-coordinates. The values of the y-intercept and slope reveal details on the nature of the relationship between the two variables, x and y.

The slope is the change in Y over the change in x:

Slope = (0-1) / 4-0) = -1/4

Slope = -1/4

Y intercept is the Y value when x is equal to 0. In the point (0,1) x is 0 and y is 1, so the y-intercept is 1.

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The equation of the line with points (2,1) and (4,3) in slope intercept form is y = x -1

The slope intercept form with point(1,-1) and slope -3/5 is  y = -3x/5 - 2/5

When you know the slope of the line to be investigated and the provided point is also the y intercept, you may utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.

To get the intercepts, we may locate the vertex and either factor it or use the quadratic formula. A quadratic equation's intercept form is written as y = a (x p) (x q), where and are the intercepts, and and are the same value as in standard form.

Ax+By=C is the usual form for two-variable linear equations. A typical form linear equation is, for instance, 2x+3y=5. When an equation is provided in this format, finding both intercepts is rather simple (x and y). When attempting to solve systems involving two linear equations, this form is also quite helpful.

In slope intercept form

y = mx + c

m is the slope and c is the y intercept

for (1,-1) and slope =-3/5

y = mx + c is  -1 = -3/5 * 1 + c ⇒ c = -2/5

The slope intercept form is  y = -3x/5 - 2/5

Similary we can find the value of others.

Now when we are having 2 points

for (2,1 ) and (4,3)

The slope is (y₂ - y₁)/(x₂-x₁) = (3-1)/(4-2) = 1

The equation will be

y = mx + c

1 = 1*2 + c

⇒ c = -1

The equation of the line in slope intercept form is y = x -1

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y=4x+3 is the equation for the linear function shown in the table

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The two points from the table are (2, 11) and (3, 15)

m=15-11/3-2

m=4/1

Slope is 4

Now let us find the y intercept

11=4(2)+b

11=8+b

3=b

Hence, y=4x+3 is the the equation for the linear function shown in the table

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The measure of the lengths is given below:-

ON = 32.52

MN = 32.52

PN = 23

OM = 46

Geometry is a discipline of mathematics that largely deals with the shapes and sizes of objects, their relative positions, and the qualities of space (from the Ancient Greek: geo- "earth," -metron "measuring").

The lengths will be calculated as:-

OM = LN = 46

Area = (1/2) x OM x LN

Area = (1/2) x 46 x 46

Area = 1058

MN² = 1058

MN = 32.52

Hence, the values are ON = 32.52, MN = 32.52, PN = 23, OM = 46.

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The distance between the bird and its prey is 19 feet. The solution has been obtained by using trigonometry.

What is trigonometry?

The study of the sides, angles, and connections of the right-angle triangle is the main goal of the field of mathematics known as "trigonometry."

We are given that the angle on f depression between a bird and its prey is 70%.

This means that Theta = 70°

Also, the height of the bird from the ground is 18 feet.

Using trigonometry, we get

⇒sin theta = perpendicular side/hypotenuse

⇒sin 70 = 18/hypotenuse

⇒Hypotenuse = 18/sin 70

⇒Hypotenuse = 19.1 ≈ 19 feet

Hence, the distance between the bird and its prey is 19 feet.

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The number of photos she will have in 3 albums would be = 150 photos.

The number of photos Margaret stored in 8 albums = 400

The number of photos in 3 albums = x

That is;

If 8 albums = 400 photos

3 albums = X photos

Make X the subject of formula;

X = 3 × 400/8

X= 1200/8

X = 150 photos

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To write an exponential function in the form y = ab^x that goes through the points (0,11) and (2,396), we can use the fact that the exponential function is defined as y = ab^x, where a is the initial value and b is the growth factor.

First, we can find the growth factor by using the following equation: b = y2/y1.

In this case: b = 396/11 = 36

Next, we can use the point (0,11) and the growth factor to find the value of a.

Since we know that y = ab^x, we can substitute the point (0,11) and the growth factor into the equation:

11 = a(36)^0

a = 11

So, the exponential function that goes through the points (0,11) and (2,396) is: y = 11 * 36^x

It is important to note that the above function will pass through the points (0,11) and (2,396) but it may not pass through any other points. It is also a good practice to check the function by substituting the point (0,11) and (2,396) to confirm it gives the correct output.

In calorimetry problems where the temperature of a system increases is ∆[tex]t_{0}[/tex]> , Q>0

What is Temperature?

The physical concept of temperature indicates in numerical form how hot or cold something is. A thermometer is used to determine temperature. Thermometers are calibrated using a variety of temperature scales that traditionally drew their definition from different reference points and thermometric materials.

Reason

The phase change that takes place when a solid melts into a liquid or a gas condenses into a liquid keeps the temperature constant while the thermal energy changes. the second choice is the right one.

When a system's temperature rises in a calorimetry problem, T > 0 and Q > 0. the third choice is the best one.

For every operation in an ideal gas, the change in thermal energy when the temperature changes by T varies.

In calorimetry issues, where a system's temperature rises is ∆t > 0 and q < 0

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4. If coach puts Tara and Laney on Team B, the mean height of the players on Team B will be shorter than 5 feet 10 inches.

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The mean absolute deviation is 4.06.

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

We have data set,

S = {14, 14, 6, 6, 10, 10, 2, 18}

The mean = 78/8

= 9.75

The mean absolute deviation,

= The absolute sum {(14 -9.75) + (14 -9.75) + (6 -9.75) + (6 -9.75) + (10 -9.75) + (10 -9.75) + (2 - 9.75) + (18 - 9.75)} / 8

= 32.5 / 8

= 4.06

Therefore, the value is 4.06.

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This double integral evaluates to a value of 2/3 x

What is double integral?

Double integral is a type of integration which involves the integration of two variables. It is used to calculate the area or volume of a function of two variables. This type of integration is used to solve problems in areas such as physics, engineering, probability and statistics. Double integration can be used to calculate the center of mass of a two-dimensional object, or the moments of inertia of a two-dimensional object. In its most basic form, this type of integration involves the calculation of a limit where two variables are integrated with respect to each other.

To evaluate the double integral, one must use the formula for the area of a two-dimensional region: ∫∫f(x, y)dA = ∫∫f(x, y)dxdy. The limits of integration of the region D must also be taken into account. Thus, the double integral can be evaluated as follows:

∫∫(x^2-1)dA = ∫ 0 to 1

∫ 0 to x (x^2-1)dx dy = 2/3 x

This double integral evaluates to a value of 2/3 x

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Vertical angles are opposite angles formed by intersecting lines.

Alternate exterior angles are angles on the same side of the transversal and outside of the two lines being intersected.

Same side interior angles are angles on the same side of the transversal and inside of the two lines being intersected.

A linear pair is two angles that add up to 180 degrees and are adjacent to each other.

Alternate interior angles are angles on opposite sides of the transversal and inside of the two lines being intersected.

Same side exterior angles are angles on the same side of the transversal and outside of the two lines being intersected.

Corresponding angles are angles that have the same relative position and orientation in two similar figures.

An overview was given as your information is incomplete.

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