Fourteen increased by 6 times a number is 32?

The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.

The dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.

The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.

The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.

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The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.

The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.

For example the median of option A) is calculated as follows:

Data set= 23,62,68,73,75,77

Median = 68+73/2 = 70.5

Therefore the median is between 68 and 73 which is = 70.5

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The solution for the inequality -2(8x - 4) < 2x + 5 is x > 1/6.

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

Let's simplify the inequality -

-2(8x - 4) < 2x + 5

Distribute the -2 -

-16x + 8 < 2x + 5

Subtract 2x from both sides -

-18x + 8 < 5

Subtract 8 from both sides -

-18x < -3

Divide both sides by -18, remembering to reverse the inequality because we're dividing by a negative number -

x > 3/18

Simplifying, we get -

x > 1/6

Therefore, the solution to the inequality is -

x > 1/6

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The median would be 22:

Step-by-step explanation: The median is the number that is in the middle

Simply defined, the median is the number right in the middle of a set.

But before I get down to finding the median, I will order the numbers from least to greatest:

15, 17, 19, 20, 21, 22, 23

Now, the middle number is 20. So that's the median.

As for the range, it's the difference between the largest number and the smallest one:

Range = Greatest number - Smallest number

           = 23 - 15

           = 6

In summary, the median, the number in the middle, is 20, and the range, the difference between the largest number and the smallest one, is 6.

The angle that the ramp makes with the ground is approximately 28.07 degrees.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
The sin of the angle θ is the ratio of the opposite side (height of the ramp) to the adjacent side (length of the inclined portion of the ramp):

Sin(θ) = 8/17

We can use a calculator to find the inverse sin of this ratio to get the angle θ:

θ = sin⁻¹(8/17)

θ ≈ 28.07 degrees

Therefore, the angle that the ramp makes with the ground is approximately 28.07 degrees.

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Answer:

A

Step-by-step explanation:

...................

Answer:

here's the whole unit test

Step-by-step explanation:

ur welcomeeeee ;)

\((f-g)(-4)=f(-4)-g(-4)=[3(-4)^2 +5]-[-2(-4)+2]=\boxed{43}\)

Answer: \(-2v^4-6v^3 =-2v^3 (v+3)\)

Step-by-step explanation:

\(-2v^4-6v^3 =-2v^3 (v+3)\)

The expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.

To calculate for the volume of a rectangular base pyramid, we use the formula:

volume = 1/3 × area of base rectangle × height

volume of one identical pyramid = (1/3 × 5 × 0.5 × 2)cubic units

volume of the two identical pyramid = 2(1/3 × 5 × 0.5 × 2)cubic units.

Therefore, the expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.

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Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Answer:

3

Step-by-step explanation:

Every minute a 3 pointer was scored as 24/8 is 3

The given rational function has a vertical asymptote at x = 12, and the

graph has x and y-intercept at the negative x and y-axis.

Response:

(a) The point (5, -2) is not on the graph

(b) f(x) = -1

(c) If f(x) = 2, x = 30

(d) Domain = (-∞, 12) ∪ (12, ∞)

(e) x-intercept is at x = -6, which is the point (-6, 0)

(f) The y-intercept is at y = -0.5, which is the point (0, -0.5)

(g) A zeros of f, is x = -6

The possible given function is presented as follows;

\(f(x) =\mathbf{\dfrac{x + 6}{x - 12}}\)

(a) When x = -2, we have;

\(f(-2) = \dfrac{(-2) + 6}{(-2) - 12} = \dfrac{4}{-14} = \mathbf{-\dfrac{2}{7}}\)

Therefore;

The point (\(-\frac{2}{7}\), -2) is on the graph, which gives;

(b) If x = 3, we have;

\(f(3) =\mathbf{ \dfrac{3 + 6}{3 - 12}} = \dfrac{9}{-9} =-1\)

(c)  If f(x) = 2, we have;

\(f(x) =2 = \mathbf{ \dfrac{x + 6}{x - 12}}\)

2·(x - 12) = x + 6

2·x - x = 6 + 2 × 12 = 30

x = 30

(d) The  domain which is the list of possible x-values, which is expressed as follows;

Domain; -∞ < x < 12, and 12 < x < ∞

Which gives;

(e) The x-intercepts are;

\(0 = \mathbf{ \dfrac{x + 6}{x - 12}}\)

(f) The y-intercept

\(At \ the \ y-intercept, \ f(x) = \dfrac{0 + 6}{0 - 12} = -\dfrac{1}{2} = \mathbf{ -0.5}\)

(g) The zeros of the graph, f, are the points at which the graph crosses the x-axis which at the point x = -6

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The area of Triangle A is 12 square units, the area of Rectangle B is 30 square units, and the area of the whole figure is 42 square units.

What is rectangle?

A rectangle is a four-sided two-dimensional geometric shape in which all angles are right angles (90 degrees) and opposite sides are parallel and equal in length. This means that a rectangle has two pairs of congruent sides and its opposite sides are parallel.

To find the area of each part of the figure and the whole figure, we need to use the formulas for the area of a triangle and the area of a rectangle.

First, we can find the area of the triangle:

Area of Triangle A = (1/2) x base x height = (1/2) x 4 x 6 = 12 square units.

Next, we can find the area of the rectangle:

Area of Rectangle B = length x width = 5 x 6 = 30 square units.

To find the area of the whole figure, we can add the area of Triangle A and Rectangle B:

Area of Whole Figure = Area of Triangle A + Area of Rectangle B

= 12 + 30

= 42 square units.

Therefore, the area of Triangle A is 12 square units, the area of Rectangle B is 30 square units, and the area of the whole figure is 42 square units.

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Answer:

g(1) = 1

Step-by-step explanation:

the absolute value function always gives a positive result, that is

| - a | = | a | = a

to evaluate g(1) substitute x = 1 into g(x)

g(1) = - 3| 1 - 2| + 4

    = - 3| - 1| + 4

   = - 3(1) + 4

  = - 3 + 4

  = 1

Answer:

x<-3

Step-by-step explanation:

-2x+1<7       1.(subtract 1 on both sides)

-2x<6          2.(divide -2 on both sides)

x<-3

Algebraically, the amount of money the insurance company will pay, represented as P, is equal to the total value of the stolen items (2b + t) minus the deductible (d).

Let's denote the amount of money the insurance company will pay as P. In this scenario, if the value of the stolen items is greater than the deductible, the insurance company will cover the loss, and Ron will receive compensation for the stolen items.

The total value of the stolen items can be calculated by adding the value of the bicycles (2b) and the value of the tools (t). So, the total value of the stolen items is 2b + t.

If the total value of the stolen items is greater than the deductible (d), then the insurance company will pay the difference between the total value and the deductible. Mathematically, this can be represented as:

P = (2b + t) - d

Therefore, algebraically, the amount of money the insurance company will pay, represented as P, is equal to the total value of the stolen items (2b + t) minus the deductible (d).

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The concentration of the type of antibiotic after 4 hours is; 11.04 parts per million

We are told that the equation that models the concentration in parts per million of a type of antibiotic in a human's bloodstream after h hours is;

A(h) = -0.06h² + 2h + 4

where h is the time in number of hours after which the concentration is recorded.

Now, we want to find the concentration after 4 hours and as such we will input 4 for h in the equation to get;

A(4) = -0.06(4²) + 2(4) + 4

A(4) = -0.96 + 12

A(4) = 11.04 parts per million

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Answer:

x=-2

Step-by-step explanation:

hope this helps

follow me

Answer:

-1

Step-by-step explanation:

-x + 2 = x+4

-x-x = 4-2

-2x = 2

x= 2/-2

x= -1

hope it will help......

To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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Total cost of the candy is represented by the function f (x) is;

⇒ f (x) = $2.80x + $3.50y

Where, x is the weight of the less expensive candy (caramel candy)

and, y is the weight of chocolate candies.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Mark bought 10 lb of two types of candies to make Christmas present for his classmates.

Let x is the weight of the less expensive candy (caramel candy).

And, y is the weight of chocolate candies.

Now, The cost of caramel candies = $2.80x

And, The cost of chocolate candies = $3.50y

Hence, Total cost of the candy = $2.80x + $3.50y

Therefore, Total cost of the candy is represented by the function f (x) is;

⇒ f (x) = $2.80x + $3.50y

Where, x is the weight of the less expensive candy (caramel candy)

and, y is the weight of chocolate candies.

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Answer: 60 miles

Step-by-step explanation:

1 in. times 3 = 3 in

20 mi times 3 = 60 mi.

Answer:

\(\frac{1}{2}\)

Step-by-step explanation:

Points on line: (1,2) (3,3)

\(\frac{2-3}{1-3}\) = \(\frac{-1}{-2}\) = \(\frac{1}{2}\)

Answer:

Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls

We need to know if the number given belongs to the set or no

0----- YES

-10------ NO

8 ------NO

-9 ----NO

9 ------NO

5 -----YES

Answer:

See answer above.

Step-by-step explanation:

These are the ordered pairs on the graph: (-2, 5), (2, 3), (-3, -2), (0, -5), (3, -6)

The domain is the first point in teach ordered pair and the range is the second number in the ordered pair.

So the domain is {-2, 2 , -3, 0, 3}

Range is {5, 3, -2, -5, -6}

Answer:

Atotal=60cm2

Step-by-step explanation:

A1=BH

=6cm*5cm

=30cm2

A2=1/2 BH

=1/2(12cm)(5cm)

=6cm*5cm

=30cm2

A1+A2=Atotal

30cm2+30cm2=Atotal

60cm2=Atotal

Answer:

8 by 15 ?

Step-by-step explanation:

8 by 15 . ..........

Answer: 4/7

Step-by-step explanation: put that in calculator and it give you decimal number (.57)

which 57%

The value of m + n is given as follows:

A. 18.

The exponential expression for this problem is defined as follows:

\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)

Applying the power of power rule, we have that the exponents are given as follows:

Then the values of m and n are given as follows:

m = 7, n = 11.

Thus the sum is given as follows:

m + n = 7 + 11 = 18.

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Answer:

-8/45

Step-by-step explanation:

4/5 * -2/9

Multiply the numerators

4*-2 = -8

Multiply the denominators

5*9 = 45

numerator over denominator

-8/45

The value of x is approximately 10.6. So, the correct answer is B. 10.6

To determine the value of x in the given triangle, we can apply the trigonometric concept of sine. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In the given triangle, the angle at the left vertex is 45 degrees, and the length of the base is given as 15. The right sideline, which is represented by x, is the side opposite the 45-degree angle.

Using the sine function, we have:

sin(45 degrees) = x / 15

To solve for x, we can rearrange the equation:

\(x = 15 \times sin(45 degrees)\)

Using the exact value of sin(45 degrees) (which is √2 / 2), we have:

\(x = 15 \times (√2 / 2)\\x = (15 \times √2) / 2\)

x = 7.5√2

Therefore, the correct answer is B. 10.6.

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