Given f(x) = 3x - 4 and g(x) = x ^ 2 - 3 find (g f) (x) .

A) 9x ^ 2 - 24x + 19

B) 9x ^ 2 + 13

C) 3x^2 - 13

D) 9x ^ 2 - 24x + 13

Answer: Using the formula F=9/5C+32, we can convert 59°C to degrees Fahrenheit:

F = 9/5 * 59°C + 32

F = 118.2°F + 32

F ≈ 150.8°F

Therefore, 59°C is approximately equal to 150.8°F.

Step-by-step explanation:

Answer:

Step-by-step explanation:

La ecuación y = -7x - 5 es una ecuación lineal en la forma y = mx + b, donde "m" es la pendiente y "b" es el punto de intersección en el eje y. Por lo tanto, podemos identificar la pendiente y el punto de intersección de la línea directamente de la ecuación.

Pendiente:

La pendiente "m" de la línea se encuentra en el coeficiente que acompaña a "x" en la ecuación de la línea. En este caso, la pendiente es "-7", por lo que la pendiente de la línea es -7.

Punto de intersección:

El punto de intersección "b" se encuentra en el término independiente de la ecuación de la línea, que es el número que no tiene una "x" al lado. En este caso, el punto de intersección es "-5", por lo que la línea cruza el eje y en el punto (0,-5).

Por lo tanto, la pendiente de la línea es -7 y el punto de intersección es (0,-5).

Answer: Y-intercept: -5, Slope of the line: -7 or -7/1

Step-by-step explanation:

The equation for the slope is y=mx+b.

m= slope of the line

b= y-intercept

So when you take the equation y=-7x-5, you take out those plugged in values.

So the slope of the line is -7 (or -7/1) and the y-intercept is -5.

Answer:

X=4.5, or X=4 1/2

Step-by-step explanation:

The surface area will be multiplied by 1/8.

A cone is a three-dimensional geometric shape that has a circular base and a curved surface that tapers to a point called the apex or vertex.

The height of a cone is the perpendicular distance from the vertex to the base. The radius of the base is the distance from the center of the circle to its edge.

The slant height is the distance from the vertex to any point on the edge of the base, The formula for the surface area of the cone is given by  

Here we have  

A right cone has a radius of 2 ft and a slant height of 5 ft.  

As we know, the total Surface Area of the cone  = πr(r + l) square units

Surface Area of cone  = π(2)(2 + 5) ft² = 44 ft²

Given that both the radius and slant height are multiplied by 1/4.

Radius, r = (1/4)(2) = 1/2 ft

Slant height, h = (1/4)5 = 5/4 ft

Surface Area of cone will be  = π(1/2)(1/2 + 5/4) ft²  

= π(1/2)(7/4) ft²  

= 11/4 ft²  

Let the surface area is multiplied by 'x'

=> 44x = 11/4

=> 4x = 11/4

=>  x = 1/8

Therefore,

The surface area will be multiplied by 1/8

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Answer:

Step-by-step explanation:

We can use proportionality to find out how much Gino will get paid if he has to plow for 40 hours. Since we know that he gets paid $640 for 20 hours of work, we can set up a proportion to find out how much he will get paid for 40 hours of work.

The proportion can be written as:

Payment for 20 hours / 20 hours = Payment for 40 hours / 40 hours

We can simplify this proportion to:

Payment for 20 hours / 20 = Payment for 40 hours / 40

Substituting the given values, we get:

640 / 20 = Payment for 40 hours / 40

Simplifying this equation, we get:

32 = Payment for 40 hours / 40

Multiplying both sides by 40, we get:

Payment for 40 hours = 32 * 40

Payment for 40 hours = 1280

Therefore, Gino will get paid $1,280 if he has to plow for 40 hours. Hence, the correct answer is (D) $1,280.

Answer:

1.280$

because 20hrs=640 so If it's 40hrs it will add additional 640

Answer:

Step-by-step explanation:

You want the y-intercepts of the relation y -5 = -5/2(x +4) and the one shown in the graph.

The y-intercept of a function is its value when x=0. It is the y-value where the graph crosses the y-axis.

Setting x=0, we can solve for y:

  y -5 = -5/2(0 +4) = -10

  y = -5 . . . . . . . . add 5; this is the y-intercept

The y-intercept of Line A is -5.

The graph crosses the y-axis at y = -6.

The y-intercept of Line B is -6.

The y-intercept of Line A is greater than the y-intercept of Line B.

Answer:

5.85m

Step-by-step explanation:

1 meter is 100 centimeters.

583 divided by 100

Answer:

3

Step-by-step explanation:

Amplitude is the absolute value of the number in front

3cos(2x) + 5

The first and second lengths are not possible lengths of triangle.

The third and fourth lengths are possible lengths of triangle.

For the first case; 3 ft, 5 ft, 9 ft: Not possible. In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. However, in this case, 3 ft + 5 ft = 8 ft, which is less than 9 ft.

For the second case. 11 cm, 6 cm, 17 cm: Not possible. Using the same reasoning as above, we see that 6 cm + 11 cm = 17 cm, which means that the three sides cannot form a triangle.

For the third case. 4 in., 4 in., 6 in.: Possible. The sum of any two sides is greater than the third side, since 4 in. + 4 in. = 8 in., which is greater than 6 in. Therefore, these lengths can form a triangle.

For the fourth case. 16 yd, 10 yd, 12 yd: Possible. Again, we see that the sum of any two sides is greater than the third side, since 10 yd + 12 yd = 22 yd, which is greater than 16 yd. Therefore, these lengths can form a triangle.

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A) the z-critical value associated with a 99% confidence interval is 2.58. B) the z-critical value associated with a 95% confidence interval is 1.96. C) the z-critical value associated with a 90% confidence interval is 1.64. D)  the z-critical value associated with an 80% confidence interval is 1.28.

The z-critical value (or the critical z-value) is the number of standard deviations from the mean that corresponds to a given level of significance in a two-tailed z-test. It is used in statistical hypothesis testing to determine whether to reject or fail to reject the null hypothesis.

A) For a 99% confidence interval, the area in each tail is (1-0.99)/2 = 0.005. Using the provided tool and selecting "two tails", we can find the z-critical value associated with this probability:

z-critical value = 2.58

Therefore, the z-critical value associated with a 99% confidence interval is 2.58.

B) For a 95% confidence interval, the area in each tail is (1-0.95)/2 = 0.025. Using the provided tool and selecting "two tails", we can find the z-critical value associated with this probability:

z-critical value = 1.96

Therefore, the z-critical value associated with a 95% confidence interval is 1.96.

C) For a 90% confidence interval, the area in each tail is (1-0.90)/2 = 0.05. Using the provided tool and selecting "two tails", we can find the z-critical value associated with this probability:

z-critical value = 1.64

Therefore, the z-critical value associated with a 90% confidence interval is 1.64.

D) For an 80% confidence interval, the area in each tail is (1-0.80)/2 = 0.10. Using the provided tool and selecting "two tails", we can find the z-critical value associated with this probability:

z-critical value = 1.28

Therefore, the z-critical value associated with an 80% confidence interval is 1.28.

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The standard deviation of the movie times is given as follows:

27.7 minutes.

Considering that an hour has 60 minutes, the time in minutes of each movie is given as follows:

107 minutes, 92 minutes, 134 minutes, 116 minutes, 152 minutes, 182 minutes.

The mean of a data-set is given by the sum of all observations divided by the number of observations, hence:

Mean = (107 + 92 + 134 + 116 + 152 + 182)/6

Mean = 130.5 minutes.

The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, hence:

s = sqrt([(107-130.5)² + (92-130.5)² + (134-130.5)² + (116-130.5)² + (152-130.5)² + (182-130.5)²]/7)

s = 27.7 minutes.

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Answer:

Photo below.

Step-by-step explanation:

Red Line = y=3x−3/4

Blue Line =  y=−x/3−3/2

Hope it helped!

The measure of angle 2 is 140 and <3 is 20 degree.

A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape. The rhombus is also referred to as a diamond or rhombus.

As, Rhombus have angles which are opposite to each other are equal.

So, <1 = <2 = 140

Also, Consecutive angles are equal to 180° which shows the angle between <1 and <2 measure

= 180- 140

= 40

and, <3 = 1/2 <1

<3 = 1/2(40)= 20

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18x+30 is the solution of the expression which we get by adding all the expressions.

An expression is combination of variables, numbers and operators.

The given expressions from 1 to 9 are -4(x-5), 6(x+1), 4x-20,3x+12, -1(x-9), -x-12, 8-x, -2x, 7(2x+1)

Add all the nine expressions.

-4(x-5)+6(x+1)+4x-20+3x+12-1(x-9)-x-12+8-x -2x+ 7(2x+1)

-4x+20+6x+6+4x-20+3x+12-x+9-x-12+8-x-2x+14x+7

Combine the like terms

18x+30

Hence, 18x+30 is the solution of the expression which we get by adding all the expressions.

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The key features of this rational function include the following:

Domain: (-∞, -1) ∪ (-1, ∞)

Range: (-∞, -2) ∪ (-2, ∞)

Y-intercept: 1.

X-intercept: 1/2.

Vertical asymptote: x = -1.

Horizontal asymptote​: y = -2.

In Mathematics, an asymptote can be defined as a line which the graph of a given function approaches but would never touch. Additionally, the vertical asymptote of a function simply refers to the value of x which makes its denominator equal to zero (0).

In order to graph any rational function, you should determine the values for which it is undefined. This ultimately implies that, a function is considered as undefined when the value of the denominator is equal to zero, which represents vertical asymptote lines.

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Orbital period of the planet is 2√2 earth years

According to Kepler's third law, the square of a planet's orbital period is proportional to the cube of its semi major axis.  

T² α a³

where, T is orbital period and a is length of semi-major axis.

Given,

Distance between the sun and the planet

= twice the distance of sun and earth

Let distance between sun and earth a₁ = d

then distance between planet and sun a₂= 2d

Orbital period of earth T₁ = 1 earth year

By Kepler's third law

T² α a³

(T₁/T₂)² = (a₁/a₂)³

(1/T₂)² = (D/2D)³

1/T₂² = 1/8

T₂ = 2√2 earth years

Hence, 2√2 earth years is the orbital period of other planet.

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To construct a 2x2 matrix B such that AB is the zero matrix, we need to find two different nonzero columns for B that will result in the product of AB being the zero matrix. One way to do this is to choose the columns of B such that they are the negatives of the rows of A. This will result in the product of AB being the zero matrix.

Let A = [[a,b],[c,d]]

We can choose the columns of B to be [[-a,-c],[-b,-d]]. This will result in the product of AB being the zero matrix.

So, B = [[-a,-b],[-c,-d]]

AB = [[a,b],[c,d]] * [[-a,-b],[-c,-d]] = [[0,0],[0,0]]

Therefore, the 2x2 matrix B that will result in the product of AB being the zero matrix is B = [[-a,-b],[-c,-d]].

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The following terms are;

Chord = EJ

Tangent line; GD

Secant line ; KH

For a circle, take two points on its circumference. That divides the circumference of the assumed circle in two parts. Those both parts are called arcs of the circle. The bigger part will be called the major arc, and the smaller one will be called the minor arc.

WE are given that c is the center, FE is a diameter, GD intersects the

circle at E, and KH intersects the circle at E and 1.

Here we have to find the following;

If the assumed circle has center O and chord AB, then if there is perpendicular from O to AB at point C, then that point C is bisecting the line segment AB.

Chord = EJ

Tangent line; GD

Secant line ; KH

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y = -3/2 x + 24. is the equation of the line in slope intercept form.

The formula for calculating the equation of a line in point slope form is expressed as:

y - y0 = m(x - x0)

where:

m is the slope

(x0, y0) is the point on the line

Using the coordinate points (2, 9) and (4, 6). The slope is calculated as:

Slope = 6-9/4-2
Slope = -3/2

The required equation will therefore be expressed as:

y - 9 = -3/2(x - 2)

2y - 18 = -3x + 6

2y = -3x + 24

y = -3/2 x + 24

Hence the slope-intercept form of the equation is y = -3/2 x + 24.

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So Katya's rectangular table is 1.6 meters long and 3/4 meters wide, with an area of 1 1/5 square meters.

Area is a measure of the size of a two-dimensional surface, such as the surface of a shape or object. It is usually measured in square units, such as square meters, square centimeters, square feet, or square inches. The area of a shape tells us how much surface area it covers, and is often used in a variety of fields, such as architecture, engineering, and physics. For example, the area of a room can help determine how much flooring is needed to cover it, the area of a building facade can help determine how much material is needed to cover it, and the area of a wing can help determine its lift and drag characteristics in aerodynamics.

Here,

Let's start by using the formula for the area of a rectangle:

A = lw

where A is the area, l is the length, and w is the width.

We are given that the width of the table is 3/4 meters, so we can substitute this value into the formula and simplify:

A = l(3/4)

l = (4/3)A

Next, we are told that the table has an area of 1 1/5 m^2. We can convert this mixed number to an improper fraction by multiplying the whole number by the denominator and then adding the numerator:

1 1/5 = (5*1 + 1)/5 = 6/5

So the area of the table is 6/5 m^2. Substituting this value for A in the formula above, we get:

l = (4/3)(6/5)

l = 8/5 m

Therefore, the length of the table is 8/5 meters, or 1.6 meters when converted to a decimal.

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Answer:

I don't know yet bye

Step-by-step explanation:

The exponential regression equation that models the data is y = 101 × (0.899)ˣ and when the air pressure is 29 kPa, the altitude is 6.09 km.

To find an exponential regression equation that models the given data, we can use the general form:

y = abˣ

where y is the air pressure and x is the altitude.

Using the provided data, we can substitute the values of x and y into the equation to obtain a system of equations:

When x = 0, y = 101:

101 = ab⁰

101 = a

When x = 1, y = 90:

90 = ab¹

90 = ab

90=101b

Divide both sides by 101:

b=90/101

b= 0.899

Therefore, the exponential regression equation that models the data is:

y = 101 × (0.899)ˣ

To determine the altitude when the air pressure is 29 kPa, we can substitute y = 29 into the equation and solve for x:

29 = 101 × (0.899)ˣ

Dividing both sides by 101:

0.287 = (0.899)ˣ

log(0.287) = log((0.899)ˣ)

log(0.287) = x × log(0.899)

x = log(0.287) / log(0.899)

x = 6.093.

Hence, when the air pressure is 29 kPa, the altitude is 6.09 km.

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The table below gives air pressures in kPa at selected altitudes above sea level measured in

kilometers.

x      Altitude                    0             1              2              3             4             5

y      Air pressure         101         90            79         70           62         54

Write an exponential regression equation that models these data rounding all values to the nearest

thousandth.

Use this equation to algebraically determine the altitude, to the nearest hundredth of a kilometer,

when the air pressure is 29 kPa.

you would save $6,000 in annual fuel expenses.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Given,  you drive 40,000 miles per year and gas averages $4 per gallon

Since,

Fuel expenses = (Miles driven / Miles per gallon) x Price per gallon

For the SUV, with an average of 16 miles per gallon, the fuel expenses would be:

Fuel expenses for SUV = (40,000 / 16) x 4 = $10,000

For the hybrid car, with an average of 40 miles per gallon, the fuel expenses would be:

Fuel expenses for hybrid car = (40,000 / 40) x 4 = $4,000

To find the difference in fuel expenses between the two vehicles, we subtract the fuel expenses for the hybrid car from the fuel expenses for the SUV:

$10,000 - $4,000 = $6,000

Therefore, by owning a hybrid car averaging 40 miles per gallon instead of an SUV averaging 16 miles per gallon, you would save $6,000 in annual fuel expenses.

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The most accurate calculation for the product of 2, 9, and 11, is 1, or 0 + 1.

Best estimate refers to the figure arrived at by an assessor using deterministic techniques that most accurately captures the anticipated result without optimism or conservatism.

To estimate a number is to round it up to the nearest full number.

We now have February 9 and November 11.

Hence, as 2/9 is closer to 0 than 0.5, we will estimate it to be 0.

Similarly, we will estimate 10/11 as 1 since it is closer to 1 than 0.5.

Hence, 0 + 1 = 1 is the result of adding up their estimates.

In conclusion, 0 + 1 = 1 is the best estimate for the product of the numbers 2/9 and 10/11.

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Answer:

x = 4

Step-by-step explanation:

(4 + 10)
14 x 5 = 70





~ LadyBrainiac

Answer:

Below

Step-by-step explanation:

The quations are both equal to 'y'  so the equations are equal

5x-10 = -3x+ 14

8x = 24

x = 3     <====== use this value of 'x' in one of the equations to calculate y

y = 5x-10

y = 5(3)-10 = 5  

Answer:

3.00000000000

Step-by-step explanation:

2.77247497343 is closer to 3.00000000000 than 2.00000000000

The linear equation that has no solutions with y = (5/4)x - 7 is

2y = (5/2)x - 14

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

y = (5/4)x - 7

We can create a linear equation that has no solutions with y = (5/4)x - 7.

Step 1:

y = (5/4)x - 7

Multiply 2 on both sides.

2y = (5/2)x - 14

Thus,

2y = (5/2)x - 14 is the linear equation that has no solutions with the given equation.

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Answer: (2,1.6)

y=1.6

Step-by-step explanation:

you have the x coordinate, so that means x=2.

Plug in values for x:

5(2) + 5y = 18

10 + 5y = 18

Solve for y.

Answer:

The missing coordinate is 1.6.

Step-by-step explanation:

A coordinate is two points, x value and y value, on a graph. Ex: 1, 4. 1 is on the x axis, and 4 is on the y axis. In some Math problems, the point in the x value will be replaced with x.

5x + 5y = 18

5(2) + 5y = 18

10 + 5y = 18

10 - 10 + 5y = 18 - 10

5y = 8

5y/5 = 8/5

y = 1.6

To check this, we need to input 2 and 1.6 into the original problem.

5(2) + 5(1.6) = 18

10 + 5(1.6) = 18

10 + 8 = 18

18 = 18

This is true, so we know 1.6 is correct.

The volume of the stump in cubic inches is approximately 2,214.53 cubic inches

First, we need to convert the height of the stump from feet to inches, since the radius is given in inches:

1.3 ft = 15.6 in

Next, we can use the formula for the volume of a cylinder:

V = πr^2h

where V is the volume, r is the radius, and h is the height.

We are given the radius as 6 in and the height as 15.6 in, so we can plug in these values and simplify:

V = π(6 in)^2(15.6 in)

V = π(36 in^2)(15.6 in)

V = 2,214.53 cubic inches (rounded to two decimal places)

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