Which is the correct label of the parallel lines?

The function notation is: f(x) is a function can be expressed as f(x) = 3x + 1.

What is function notation?

Formal Notation. A function is frequently written as "f(x)" when it is expressed as an equation. This formula, "multiply by five and remove one," is used when constructing a table of values for an equation, such as

y = 5x - 1, to convert an input x value into the output y value.

Consider the given function;

F(a + 1) = 3(a + 1) + 1

Write a + 1 as x i. e  x = a + 1

So, the function becomes,

F(x) = 3x + 1.

where, x is the input variable and 3x + 1 is the output.

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The equation that relates the number of chirps per minute x, and the outside temperature in degrees Fahrenheit is x = 4f -148. If the snowy tree cricket chirps 100 times in a minutes, the the outside temperature is 62 degrees Fahrenheit.

The number of chirps per minute is 148 less than 4 times the outside temperature in degrees Fahrenheit.

The number of chirps per minute = x

The outside temperature in degrees Fahrenheit = f

Then the linear equation will be

x = 4f - 148

Given that x = 100 chirps per minutes

Substitute the values in the equation

100 = 4f -148

4f = 100+148

4f = 248

f = 248/4

f = 62 degrees Fahrenheit.

Hence, the equation that relates the number of chirps per minute x, and the outside temperature in degrees Fahrenheit is x = 4f -148. If the snowy tree cricket chirps 100 times in a minutes, the the outside temperature is 62 degrees Fahrenheit.

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Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3

A parabola is a figure similar to the following:

In the example given the parabola opens downwards and the vertex acts as a maximum point. We can also have the following:

This parabola opens upwards and the vertex acts as a minimum point.

Now, the range is the values of the y-variable that the function outputs. We notice that in the first case, the range is the values that are smaller than the y-coordinate of the vertex.

In the second case, we notice that the range is the values that are greater than the y-coordinate of the vertex.

Therefore, we can conclude that the range is determined by the vertex, therefore, the right answer would be C.

Characteristic of binomial distribution Mean should be n *p n is the number of trials p is the successful outcome of the process

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The values of y for the new function y = 3f(x) will be three times larger than the corresponding values of f(x) for the original function y = f(x).

To complete the table for the function y = 3f(x), we simply need to multiply each value of f(x) by 3. For example, if f(x) = -42, then 3f(x) = -126. Similarly, if f(x) = 11, then 3f(x) = 33.

We can apply this multiplication to every value of f(x) listed in the table to get the corresponding value of y for the new function. This is because multiplying a function by a constant simply scales the function by that constant.

 It is important to note that the shape of the function will remain the same, but the magnitude of the y-values will increase by a factor of 3.

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In the graph of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

The simple linear regression equation represents a linear relationship between a dependent variable and an independent variable. It can be written as y = ß0 + ß1x, where ß0 is the intercept and ß1 is the slope of the regression line.

The slope (ß1) determines the rate of change in the dependent variable (y) for each unit change in the independent variable (x). It represents the steepness or inclination of the regression line. The sign of ß1 indicates whether the line has a positive or negative slope, indicating the direction of the relationship between the variables.

Thus, in the context of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

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-3.3 times 2.2

basically the product of is 7.26

The error expression of  |A - N| in the given problem is: Absolute Error

The absolute error is gotten by subtracting the true value from the measured value. The answer is normally expressed as ± or with an absolute value sign. The absolute error equation is expressed as: Absolute error = |measured value - true value|

Relative error is defined as a measurement of error that depends on the absolute error of a measuring tool as well as a measured value. Relative error can thus be defined as a decimal or as a percentage.

Now, we are told that

A is an actual value.

N is near the value,

From the definition of absolute error, we can clearly state that |A - N| is known as absolute error.

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Answer:?=93/14

Step-by-step explanation:

the ? is the variable in this equation so we have to solve for it

1. distributive property ->

5(?+3) = 5?+15

?(6+3) = 9?

so 5?+15+9?=108 -> 14?+15=108

2. then solve,

14? -15 = 108 -15

14?=93

?=93/14

(-2, -4) and (2, 4) is the solution to the given system of simultaneous equation

Given the system of equation

f(x) = x^2 + 2x - 4

g(x) = -2x^2 + 2x + 8

When solving graphically, the point of intersection of both curves on an xy plane is the solution to the system of equation.

According to the graph attached, the solution to the system of equation is (-2, -4) and (2, 4).

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Answer: B

Step-by-step explanation: I took the test

Answer:

13 weeks

Step-by-step explanation:

5 times 13= 65 +87= 152

8 times 13 = 104+58=152

Answer:

Week 4

You have to make a function table.

Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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The slope of a line in the xy plane b = 13/3

The slope of a line in the xy plane can be calculated by using the equation m = (y2-y1)/(x2-x1). In this equation, m is the slope, x1 and y1 are the coordinates of the first point, and x2 and y2 are the coordinates of the second point.

Using this formula, we can solve for b.

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

8/3 = (b - (-1)) / (2 - (1/2))

24/3 = (b + 1) / (5/2)

24/3 * (5/2) = (b + 1)

40/3 = b + 1

40/3 - 1 = b

b = 13/3

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Brayden's total earning by walking lap around a track is $35, if he walks 2+1/2 = 5/2 laps per day for 7 days.

Per day walking of brayden = 5/2 laps

7 days walking of brayden = 5/2 × 7 = 35/2 laps

As per the question statement he earns $1 per lap if he walk less than 16 laps and $2 per lap if hi walks 16 or more lap. Since the total walking of brayden is more than 16 laps, so he will earn at the rate of $2 per lap. So total earning will be,

= 2× 35/2

= $35

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Answer:

b=−5

Step-by-step explanation:

Subtract the numbers

b=2−7                                                            

b= −5

Answer:

b = -5

Step-by-step explanation:

b = 2 - 7

b = -5

R6500 in the ratio of 3:4:6 is equal to R1,500, R2,000 and R3,000.

Given the following data:

To divide R6500 in the ratio of 3:4:6​:

In this exercise, you're required to divide the total amount of money in the ratio of 3:4:6. Thus, we would solve as follows:

For a ratio of 3:

\(Amount=\frac{3}{13} \times 6500\\\\Amount=\frac{19500}{13}\)

Amount = R1,500.

For a ratio of 4:

\(Amount=\frac{4}{13} \times 6500\\\\Amount=\frac{26000}{13}\)

Amount = R2,000.

For a ratio of 6:

\(Amount=\frac{6}{13} \times 6500\\\\Amount=\frac{39000}{13}\)

Amount = R3,000.

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Answer:

As per Given Information

→ ∠AOB = 7x-99°

→ ∠COD = 2x + 1°

we have to find the value of x .

∠AOB = ∠COD ( Vertically Opposite Angle)

On putting the value we obtain

➺ 7x-99° = 2x + 1°

➺ 7x -2x = 1° + 99°

➺ 5x = 100°

➺ x = 100°/5

➺ x = 20°

So, the value of x is 20° .

Based on the information provided, it appears that Sammi did not make any mistakes in creating the tally chart. The information appears to be correctly recorded and organized.

To create a dot plot, Sammi would simply plot a dot above the appropriate number on the number line for each entry in the "hours" column and mark it the number of times specified in the corresponding entry in the "tally" column.

The answer was determined based on the information provided in the question, which was a 2-column table with 4 rows. The first column was labeled "hours" and had entries of 3, 4, 5, 6. The second column was labeled "tally" and had entries of 4, 6, 3, 5.

Given this information, it can be concluded that Sammi correctly recorded the hours and their respective tallies. Therefore, there is no mistake in the creation of the tally chart.

It is important to note that the question only asks about the creation of the tally chart and not the creation of the dot plot, so the answer is based solely on the information provided in the question and not any assumed knowledge or steps in creating a dot plot.

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(11) The measure of angle IGJ is  46⁰.

(12) The measure of arc JH is determined as 138⁰.

The measure of the arc or central angle indicated is calculated as follows;

(11) The measure of angle IGJ is calculated as follows;

m∠LGK =  arc angle LK (interior angle of intersecting secants)

m∠LGK = 48⁰

m∠HGI = m∠LGK = 48⁰ (vertical opposite angles are equal)

m∠IGJ + m∠HGI + m∠JGK = 180⁰  (sum of angles in a straight line)

m∠IGJ + 48⁰ + 86⁰ = 180

m∠IGJ = 180 - 134

m∠IGJ = 46⁰

(12) The measure of arc JH is calculated as follows;

arc JH = arc JI + arc IH

arc JI = arc FG

arc FG = 180 - 137⁰ (sum of angle in a straight line)

arc FG = 43⁰

arc FG = arc JI (vertical opposite angles are equal)

arc JH = arc JI + arc IH

arc JH = 43⁰ + 95⁰

arc JH = 138⁰

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Answer:

the x coordinate is 5

the y coordinate is 4

Step-by-step explanation:

the x coordinate would be wherever the dot is on the horizontal line

the y coordinate would be wherever the dot is on the vertical line

Answer:  x = 23

Step-by-step explanation:

The sum of interior angles in a triangles is equal to 180°, therefore:

(2x - 1) + 110 + 25 = 180

1. Get rid of parentheses.

 2x - 1 + 110 + 25 = 180  

2. Add the number up in the left side.

            2x  + 134 = 180

3. Subtract 134 from both sides.

                      2x = 46

4. Divide by 2 from both sides.

                      x = 23

Answer: 50

Step-by-step explanation: one quarter, 3 nickels, and one dime.

We can argue that the volume of square prism is greater than the volume of the cylinder.

To find the volume of a prism, we need to multiply the of area of base by the height. Since the height is the same for both the square prism and the cylinder, we can focus on comparing the areas of their respective cross-sections.

The area of the cross-section of the square prism is given as 157 square units. Since the cross-section is a square, we can find the side length by taking the square root of the area. So, the side length of the square is √157 units.

The area of the cross-section of the cylinder is given as 50π square units. Since the cross-section is a circle, we can find the radius by taking the square root of the area divided by π. So, the radius of the cylinder is √(50π/π) = √50 units.

Now, to compare the volumes, we need to calculate the volume of each shape. The volume of the square prism is equal to the area of the base multiplied by the height, which is (√157)^2 * height. The volume of the cylinder is equal to the area of the base (π * (√50)^2) multiplied by the height. Since the heights are the same, we can compare the volumes by comparing the areas of the bases.

Since (√157)^2 is greater than (√50)^2, we can conclude that the area of the base of the square prism is greater than the area of the base of the cylinder. Therefore, the volume of the square prism is greater than the volume of the cylinder.

In summary, based on the given information, we can argue that the volume of the square prism is greater than the volume of the cylinder.

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1)The expression 4x^2-16x+12/x^2-9 is undefined when the denominator, x^2-9, equals zero because division by zero is undefined.

x^2-9 equals zero when x equals 3 or x equals -3. Therefore, the expression is undefined at x = 3 and x = -3. In all other cases, the expression is defined.

2) The given expression is:

(5-2x)/(x+2) + x^2/(x^2-4) - 5

To simplify this expression, we need to first find the LCD (least common denominator) of the two fractions. The denominator of the first fraction is x+2, and the denominator of the second fraction is x^2-4, which can be factored as (x+2)(x-2). So the LCD is (x+2)(x-2). Now we can rewrite the expression with this common denominator:

[(5-2x)(x-2) + x^2(x+2) - 5(x+2)(x-2)] / [(x+2)(x-2)]

Expanding the brackets and simplifying, we get:

(-x^3 - 3x^2 - 3x + 5) / [(x+2)(x-2)]

This expression is undefined when the denominator, (x+2)(x-2), equals zero because division by zero is undefined.

(x+2)(x-2) equals zero when x equals -2 or x equals 2. Therefore, the expression is undefined at x = -2 and x = 2. In all other cases, the expression is defined.

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Once we have the value of c2, we can determine the specific heat capacity of the object.

To determine the specific heat of the object, we can use the principle of conservation of energy. The heat gained by the water is equal to the heat lost by the object. The heat gained or lost is given by the equation:

q = m * c * ΔT

Where:

q is the heat gained or lost (in Joules)

m is the mass of the substance (in grams or kilograms)

c is the specific heat capacity (in J/g°C or J/kg°C)

ΔT is the change in temperature (in °C)

Given:

Mass of water (m1) = 110 g

Initial temperature of water (T1) = 22.0 °C

Final temperature of water and object (T2) = 24.3 °C

Mass of object (m2) = 100 kg (converted to grams = 100,000 g)

We can first calculate the heat gained by the water using the formula:

q1 = m1 * c1 * ΔT1

Since we are assuming the specific heat capacity of water (c1) is approximately 4.18 J/g°C, we can calculate q1:

q1 = 110 g * 4.18 J/g°C * (24.3 °C - 22.0 °C)

Next, we calculate the heat lost by the object using the formula:

q2 = m2 * c2 * ΔT2

We are solving for the specific heat capacity of the object (c2), so rearranging the formula, we get:

c2 = q2 / (m2 * ΔT2)

Now, we can substitute the known values into the equation and solve for c2:

c2 = q2 / (100,000 g * (24.3 °C - 383 K))

Note that we need to convert the final temperature from Kelvin to Celsius.

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The specific heat of the object is approximately 4.21 \(\dfrac{J}{(gK)}\)/

To calculate the specific heat of the object, we can use the principle of energy conservation.

The heat lost by the hot object (initially at 383 K) will be equal to the heat gained by the water (initially at 22.0 degrees) and the object together (the final temperature at 24.3 degrees). The formula to calculate heat transfer is:

Q = mcΔT

where:

Q is the heat transfer in Joules (J),

m is the mass of the substance in grams (g),

c is the specific heat of the substance in J/(g·K),

ΔT is the change in temperature in Kelvin (K).

Let's calculate the heat transfer for both the hot object and the water and then set them equal to each other to find the specific heat of the object.

Heat transfer by the object:

\(Q_{object} = m_{object} \times c_{object} \times \Delta T_{object}\)

Heat transfer by the water and the object combined:

\(Q_w_o = (m_{water} + m_{object} \times c_{wo} \times \Delta T_{wo)\)

Since the object is non-dissolving and non-reacting, it doesn't affect the specific heat of the water.

Equating the two heat transfers:

\(Q_{object} = Q_{wo}\)

Now we can set up the equation and solve for the specific heat of the object (\(c_{object}\)):

\(m_{object} \times c_{object} \times \Delta T_{object} = (m_{water} + m_{object}) \times c_{water} \Delta T_{wo}\)

Solve for \(c_{object\):

\(100,000 g \times c_{object} \times 297.45 K = (110 g + 100,000 g) \times 4.18 \times 2.3 K\)

Solving for c_object:

\(c_{object} = \dfrac{[(110 g + 100,000 g) \times 4.18 \times 2.3 K]} { (100,000 g \times 297.45 K)}\)

\(c_{object} = 4.21 \dfrac{J}{(gK)}\)

So, the specific heat of the object is approximately 4.21 J/(g·K).

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The interpretation of the interval is that the solution set is all real numbers equal or greater to -4.

The standard interval notation of an interval of lower bound a and upper bound b is given by:

[a,b].

For the interval given in this problem, we have that:

Hence the interpretation of the interval is that the solution set is all real numbers equal or greater to -4.

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