Kevin rented a truck for one day. there was a base fee of $17.99, and there was an additional charge of 95 cents for each mile driven. Kevin had to pay $157.64 when he returned the truck. for how manny miles did he drive the truck?

Answer:

quadratic

Step-by-step explanation:

Answer:

4:

b) f(-1) = 0.50; f(-2) = 0.25; f(-3) = 0.125

c) Graph is attached -but you will need to do this by hand on the blank graph on the assignment.

5:

a) Increasing, y-intercept at (0, 125)

b) Decreasing, y-intercept at (0, 22)

c) Increasing, y-intercept at (0, 256)

The respective names of the point of concurrency is:

1. Circumcenter

2. Incenter.

3. Centroid

4. Orthocenter

Point of concurrency:

The point of concurrency is a point where three or more lines or rays intersect with each other.

Circumcenter:

The circumcenter is the point of concurrency of the perpendicular bisectors of all the sides of a triangle.

Incenter:

The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle.

Centroid:

The point where three medians of the triangle meet is known as the centroid.

Orthocenter:

The point where three altitudes of the triangle meet is known as the orthocenter.

Learn more about the point of concurrency here:

https://brainly.com/question/7165324

#SPJ4

Answer:

its blurry

Step-by-step explanation:

Answer:

arccos(.34) = 70.12 ≈ 70

Step-by-step explanation:

0.62% of the adult pandas weight over 250 pounds

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)  / standard deviation

Given mean of 200 pounds and a standard deviation of 20 pounds.

For x > 250 pounds:

z = (250 - 200) / 20 = 2.5

P(z > 2.5) = 1 - P(z < 2.5) = 1 - 0.9938 = 0.62%

0.62% of the adult pandas weight over 250 pounds

Find out more on z score at: https://brainly.com/question/25638875

The cost of 1 pound of fudge is $9.

We know that the cost of 0.75 pounds of fudge is $6.75, then we can write a relation of the form:

0.75 pounds = 6.75 dollars

This would be an "equivalence between two units"

Now we can divide both sides by 0.75 to get a 1 in the left side, so we have an "unit of fudge"

(0.75 pounds)/0.75 =(6.75 dollars)/0.75

1 pound = 9 dollars.

The cost of 1pound of fudge is 9 dollars.

Learn more about cost at:

https://brainly.com/question/25109150

#SPJ1

The expression that can be used  to find the temperature at noon is

–22.4 + 12.8 option B

Generally, The word "temperature" refers to the degree to which something is hot or cold and may be described using a number of different scales, such as Fahrenheit and Celsius.

The direction in that heat energy will spontaneously flow is indicated by temperature; specifically, it will flow from a hotter body (one that is at a higher temperature) to a colder one (one at a lower temperature).

In conclusion,  the temperature was 22.4°F below zero meaning

-22.4F in mathematical terms

and  12.8°F above zero in mathematical terms

Therefore, –22.4 + 12.8 is the expression that can be used  to find the temperature at noon

Read more about temperature

https://brainly.com/question/11464844

#SPJ1

The value of the weighted average cost of capital of the firm is 8.8%.

According to the statement

we have to compute the weighted average cost of capital of the firm.

And for this purpose,

The given information is:

debt with market value = $23 million and  

equity with market value = $46

Pre-tax cost debt = 5.4%

Cost of equity = 11% and marginal tax rate is 21%

So, The formula to find weighted average cost:

WACC = weight in equity × cost of equity + weight in debt × cost of debt × (1-tax rate)

Substitute the values in it then

Here weight in equity become = 46/(23+46)

weight in equity = 46/69

And

weight in debt = 23/69.

So, put the values then

WACC = 46/69 × 0.11 + 23/69 × 0.054 × (1 - 0.21)

WACC = 0.67 × 0.11 +  0.34 × 0.054 × (1 - 0.21)

WACC = 0.0737 + 0.01836 (0.79)

WACC = 0.0737 + 0.0145

WACC = 0.0882

WACC = 8.8%

So, The value of the weighted average cost of capital of the firm is 8.8%.

Learn more about weighted average cost here

https://brainly.com/question/8287701

#SPJ4

Answer:

x=11

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

10x-4+5x+19=180

Combine like terms

15x+15=180

      -15    -15

15x=165

divide by 15

x=11

The first blank is skewed left, the second blank is median, and the third blank is 9 is correct options.

A distribution that is left-skewing has a lengthy left tail.

Distributions that are negatively skewed are also known as left-skewed distributions.

This is due to the number line having a significant negative tail.

Additionally, the peak is to the left of the mean.

The right tail of a right-skewed distribution is lengthy.

It's a widespread misperception that "peakness" is defined by the distribution's peak.

To put it another way, a peak that leans left indicates a left-skewed distribution.

Hence, The first blank is skewed left, the second blank is median, and the third blank is 9 is correct options.

learn more about the median click here:

brainly.com/question/19243813

#SPJ4

The Solution:

We want to find the equation of a line S, which passes through point (6,2).

Let the required equation of line S be

Where m = the slope of line S, and

We are told that line S is parallel to line r, which is, y = 56x + 1. This implies that both lines have the same slope (m).

So, to find the slope (m) of line S, we shall compare y=56x+1 to the general form of equation of a line as given below:

Comparing both equations below:

Substituting 56 for m, and the given point (6,2) in the formula above, we get

Clearing the bracket, we get

Thus, the equation of line r is: y = 56x - 334

To check if y = 3cos(3t) + 4sin(3t) is a solution by differentiation, we will differentiate y with respect to t and use the chain rule.
y = 3cos(3t) + 4sin(3t)
dy/dt = -9sin(3t) + 12cos(3t)
The differentiation confirms that the given function y = 3cos(3t) + 4sin(3t) is a valid solution, as we were able to compute its derivative with respect to t without encountering any issues.

To check whether y = 3cos3t 4sin3t is a solution, we need to differentiate it with respect to t and see if it satisfies the differential equation.
y = 3cos3t 4sin3t
dy/dt = -9sin3t + 12cos3t

Now, we substitute y and dy/dt into the differential equation:

d^2y/dt^2 + 9y = 0
(d/dt)(dy/dt) + 9y = 0
(-9sin3t + 12cos3t) + 9(3cos3t 4sin3t) = 0
-27sin3t + 36cos3t + 36cos3t + 27sin3t = 0
As we can see, the equation simplifies to 0=0, which means that y = 3cos3t 4sin3t is indeed a solution to the differential equation.

Therefore, we can conclude that y = 3cos3t 4sin3t satisfies the differential equation and is a valid solution.

Learn more about differentiation :

brainly.com/question/28987724

#SPJ11

Answer:

send the complete question . there are some missing signs .

The given points, only the point (4, -9, -8) lies on line 1.

To determine whether certain points lie on the line 1, which is perpendicular to the plane x - 2y - 4z = 5 and contains the point (2, -5, 0), we can check if the coordinates of those points satisfy the equation of the line.

The direction vector of the line 1 is perpendicular to the plane and can be determined from the coefficients of x, y, and z in the plane equation. In this case, the direction vector of the line is (1, -2, -4).

Now, we can write the parametric equation of the line l as:

x = 2 + t * 1

y = -5 + t * (-2)

z = 0 + t * (-4)

To check if a point (x₀, y₀, z₀) lies on the line 1, we need to find a value of t that satisfies the parametric equations.

Let's consider the following points and determine if they lie on line 1:

Point (3, -6, -4)

To check if this point lies on line 1, we substitute the coordinates (x₀, y₀, z₀) = (3, -6, -4) into the parametric equations:

x₀ = 2 + t * 1 --> 3 = 2 + t --> t = 1

y₀ = -5 + t * (-2) --> -6 = -5 - 2 --> t = -1

z₀ = 0 + t * (-4) --> -4 = 0 - 4t --> t = 1

The value of t is not consistent across all equations, so the point (3, -6, -4) does not lie on line 1.

Point (2, -5, 0)

This point is given as the point that line 1 contains. Therefore, it lies on line 1.

Point (4, -9, -8)

To check if this point lies on line 1, we substitute the coordinates (x₀, y₀, z₀) = (4, -9, -8) into the parametric equations:

x₀ = 2 + t * 1 --> 4 = 2 + t --> t = 2

y₀ = -5 + t * (-2) --> -9 = -5 - 2t --> t = 2

z₀ = 0 + t * (-4) --> -8 = 0 - 8t --> t = 1

The value of t is consistent across all equations, so the point (4, -9, -8) lies on line 1.

Therefore, among the given points, only the point (4, -9, -8) lies on line 1.

To know more about parametric equation:

https://brainly.com/question/30748687

#SPJ4

The complete question is:

Let l be the line perpendicular to the plane x - 2y - 4z = 5 and containing the point (2, -5, 0). determine whether the following points lie on line l.

Answer:

\(y=2x-2\)

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

\(m=\frac{y_2-y_1}{x_2-x_1}\) where the two points are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the given points (0,-2) and (2,2)

\(=\frac{2-(-2)}{2-0}\\=\frac{2+2}{2}\\=\frac{4}{2}\\=2\)

Therefore, the slope of the line is 2. Plug this into \(y=mx+b\) as m:

\(y=2x+b\)

2) Determine the y-intercept (b)

\(y=2x+b\)

Plug in one of the given points and solve for b

\(2=2(2)+b\\2=4+b\)

Subtract 4 from both sides to isolate b

\(2-4=4+b-4\\-2=b\)

Therefore, the y-intercept of the line is -2. Plug this back into \(y=2x+b\)

\(y=2x-2\)

I hope this helps!

The statistical procedure used to describe the strength and direction of the linear relationship between two factors is called correlation analysis.

Correlation analysis is a statistical technique that examines the relationship between two variables to determine the strength and direction of their association. It focuses specifically on the linear relationship between the variables, which means it assumes that the relationship can be represented by a straight line.

The result of a correlation analysis is often expressed as a correlation coefficient, which measures the degree of association between the variables. The correlation coefficient ranges from -1 to 1, where:

A correlation coefficient of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other variable decreases in a consistent manner.

A correlation coefficient of 1 indicates a perfect positive correlation, meaning that as one variable increases, the other variable also increases in a consistent manner.

A correlation coefficient close to 0 indicates a weak or no linear correlation between the variables.

Correlation analysis helps to understand the relationship between variables and can provide insights into patterns, trends, and dependencies in the data. However, it is important to note that correlation does not imply causation, meaning that a strong correlation between two variables does not necessarily imply that one variable causes the other to change.

In addition to determining the correlation coefficient, correlation analysis can also involve generating a scatter plot to visualize the relationship between the variables and conducting hypothesis tests to assess the statistical significance of the correlation.

To learn more about correlation

https://brainly.com/question/13879362

#SPJ11

The probability density function (pdf) of X, denoted as f(x; 0), is

f(x; 0) = (8 + 1) x^2 (0 + 1) x for 0 ≤ x ≤ 1, and 0 otherwise.

The probability density function (pdf) represents the likelihood of a random variable taking on different values. In this case, X represents the proportion of allotted time that a randomly selected student spends working on a certain aptitude test.

The given pdf, f(x; 0), is defined as (8 + 1) x^2 (0 + 1) x for 0 ≤ x ≤ 1, and 0 otherwise. Let's break down the expression:

(8 + 1) represents the coefficient or normalization factor to ensure that the integral of the pdf over its entire range is equal to 1.

x^2 denotes the quadratic term, indicating that the pdf increases as x approaches 1.

(0 + 1) x is the linear term, suggesting that the pdf increases linearly as x increases.

The condition 0 ≤ x ≤ 1 indicates the valid range of the random variable x.

For values of x outside the range 0 ≤ x ≤ 1, the pdf is 0, as indicated by the "otherwise" statement.

Hence, the pdf of X is given by f(x; 0) = (8 + 1) x^2 (0 + 1) x for 0 ≤ x ≤ 1, and 0 otherwise.

To know more about probability density function refer here:

https://brainly.com/question/31039386

#SPJ11

Given that

\(\[\vec{v}=\begin{bmatrix} 8 \\ 2 \\ 3 \\ 0 \end{bmatrix}\]\)

And the subspace W spanned by

\(\[ \begin{bmatrix} 1 \\ 1 \\ 1 \\ 1 \end{bmatrix}\), \(\begin{bmatrix} 1 \\ 1 \\ -1 \\ -1 \end{bmatrix}\]\)

To find the orthogonal projection of \(\[\vec{v}\]\) onto the subspace W of \(\[\mathbb{R}^{4}\]\) spanned by the above two vectors,

first we need to check if the given two vectors form a basis for the subspace W or not.To check whether the given two vectors form a basis for the subspace W, we can arrange the two given vectors in a matrix form and find its rank.Let

\(\[A = \begin{bmatrix} 1 & 1 \\ 1 & 1 \\ 1 & -1 \\ 1 & -1 \end{bmatrix}\]\)

Then by calculating its row reduced echelon form, we have

\(\[\begin{bmatrix} 1 & 1 \\ 0 & 0 \\ 0 & 0 \\ 0 & 0 \end{bmatrix}\]\)

Hence, the rank of the matrix is 1 and therefore the dimension of the subspace is 1. Thus the given two vectors do not form a basis for the subspace W.

To find a basis for the subspace W, we can take the first vector as it is,

\(\[u_1 = \begin{bmatrix} 1 \\ 1 \\ 1 \\ 1 \\\end{bmatrix}\\\[u_2 = \begin{bmatrix} 1 \\ 1 \\ -1 \\ -1 \end{bmatrix}\\\]\\\\\\\u_1 - \frac{u_1^Tu_2}{u_2^Tu_2}\\\u_2 = \begin{bmatrix} 1 \\ 1 \\ 1 \\ 1 \end{bmatrix} - \frac{2}{4}\begin{bmatrix} 1 \\ 1 \\ -1 \\ -1 \end{bmatrix} = \begin{bmatrix} \frac{1}{2} \\ \frac{1}{2} \\ \frac{3}{2} \\ \frac{3}{2} \end{bmatrix}\]\)

and subtract its projection along the second vector.

Therefore, the orthogonal projection of \(\[\vec{v}\]\) onto the subspace W of \(\[\mathbb{R}^{4}\]\)spanned by

\(\[ \begin{bmatrix} 1 \\ 1 \\ 1 \\ 1 \end{bmatrix}, \begin{bmatrix} 1 \\ 1 \\ -1 \\ -1 \end{bmatrix}\]\)

is given by

\(\[\frac{(\vec{v} \cdot u_1)}{(u_1 \cdot u_1)}u_1 = \frac{13}{4}\begin{bmatrix} 1 \\ 1 \\ 1 \\ 1 \end{bmatrix}\]\)

Thus, the required orthogonal projection of \(\[\vec{v}\]\) onto the subspace W is \(\[\frac{13}{4}\begin{bmatrix} 1 \\ 1 \\ 1 \\ 1 \end{bmatrix}\]\).

To know more about orthogonal projection visit :

https://brainly.com/question/31185902

#SPJ11

Answer:

-4 because they are parallel (if it is parallel it will be equal)

The height of the main cable 20 meters from the center is 16 meters above the road.

To find the equation of the parabola, we need to use the information given about the height of the cables at the towers and the center of the bridge. We know that the main cables are 20 meters above the road at the towers, so we can use this information to find the distance between the towers, which is

distance between towers = 80 meters - 2(20 meters) = 40 meters

We also know that the main cables are 4 meters above the road at the center, so we can use this information to find the height of the vertex of the parabola, which is

vertex height = 4 meters + 20 meters = 24 meters

We can now use the vertex form of a parabola to write the equation

y = a(x - h)^2 + k

where (h, k) is the vertex and a is a constant that determines the shape of the parabola.

Substituting the values we found for the vertex height and the distance between the towers, we get

y = a(x - 40)^2 + 24

We now need to find the value of a. To do this, we can use the fact that the vertical cables are spaced every 10 meters. This means that the distance between the vertex of the parabola and a point on the main cable 10 meters from the center of the bridge is

distance = 10 meters

Substituting x = 50 (since the center of the bridge is at x = 40 + 10 = 50) and y = 14 (since the cable is 4 meters above the road at this point), we get

14 = a(50 - 40)^2 + 24

-10 = 100a

a = -0.1

Substituting this value of a into the equation we found earlier, we get

y = -0.1(x - 40)^2 + 24

To find the height of the main cable 20 meters from the center, we can substitute x = 60 (since the center of the bridge is at x = 50 and we want to go 20 meters to the right) into the equation

y = -0.1(60 - 40)^2 + 24

y = -0.1(20)^2 + 24

y = -0.1(400) + 24

y = -40 + 24

y = -16

Learn more about parabola here

brainly.com/question/4074088

#SPJ4

Answer:

Step-by-step explanation:

48[3+15÷{4+10÷(3-13)}]

=48[ 3+15%{4+10%(-10)}]

=48[3+15%{4-1}]

=48[3+15%3]

=48[3+5]

=48*8

=384

The mean score of 90, and percentile of Bob's score of 80, gives Bob's exam score as approximately 92.5%

The Z-Score of the 80th percentile is 0.8416

The formula for Z-Score is presented as follows;

\(z = \frac{x - \mu}{ \sigma} \)

Where;

\( \sigma = The \: standard \: deviation\)

\( \mu = The \: mean = 90\%\)

x = The given score

Taking the mean as a proportion, we have;

\( \sigma = \sqrt{\frac{\mu \cdot (1-\mu)}{n}}\)

Which gives;

\( \sigma = \sqrt{\frac{0.9 \times (1-0.9)}{100}}= 0.03\)

Therefore, when z = 0.8416, gives;

\(0.8416 = \frac{x - 0.9}{ 0.03} \)

x = 0.8416 × 0.03 + 0.9 ≈ 0.925

Therefore;

Learn more about Z-Score here:

https://brainly.com/question/25638875

#SPJ4

Answer:

J can be rotated

Step-by-step explanation:

Answer: Figure J

Clockwise and 2 units down

Therefore, the average lateness using the earliest due date criterion is 2. The corect option is not one of the given options (A, B, C, or D).

To calculate the average lateness using the earliest due date criterion, we need to first determine the sequence in which the jobs should be processed. The earliest due date (EDD) criterion schedules jobs in the order of increasing due dates, so we will arrange the jobs in this order:

c, a, e, b, d

The table below shows the processing time, due date, and completion time of each job, as well as the lateness (completion time - due date) for each job:

Job Processing Time Due Date Completion Time Lateness

c 4 4 4 0

a 2 7 6 -1

e 5 15 11 -4

b 8 16 19 3

d 10 17 29 12

To calculate the average lateness, we add up the lateness values for all jobs and divide by the total number of jobs:

Average lateness = (0 + (-1) + (-4) + 3 + 12) / 5

= 2

To know more about average lateness,

https://brainly.com/question/31966566

#SPJ11

Answer:

Your answer is correct. The midpoint is (2,4).

Step-by-step explanation:

That line segment is 6 units long. Halfway through would be 3 units. And that halfway point was (2,4).

Answer:

(2, 4)

Step-by-step explanation:

Read the coordinates of points C and D off the graph:

C(-1, 7)

D(5, 1)

To find the coordinates of the midpoint:

The x-coordinate of the midpoint is: Add the x-coordinates and divide by 2.

The y-coordinate of the midpoint is: Add the y-coordinates and divide by 2.

x:

(-1 + 5)/2 = 4/2 = 2

y:

(7 + 1)/2 = 8/2 = 4

Answer: (2, 4)

Answer:

62

Step-by-step explanation:

Since we know what each value of the three variables are, you can substitute each variable in the expression to get:  

\(8^{2} -12(\frac{1}{2})\) ÷ 3  

Simplify to get:

64 - 6 ÷ 3

Solve the rest:

64 - 2  →  62

Answer: 62

Hope this helps! :)

Line is not parallel to line because no scaling from point can transform triangle into triangle.

Line is not parallel to line because there is no transformation that can send triangle to triangle. A transformation is a function that changes the location, size, or orientation of an object. A dilation of a shape is a transformation that changes its size, either making it larger or smaller, but does not change its orientation. To determine if two lines are parallel, one must consider if a dilation from a point can send one line to the other. In this case, there is no dilation from point that can send triangle to triangle, so line is not parallel to line.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

Let g be the integral function defined by g(x) = ∫x-1 (-1/2 * cos (t³ / 2t)) dt for x = 0, g is g(x) = -1/2(x-1 * sin(t³/2t) - x-1 * cos(t³/2t)).

To solve this integral, we need to use the substitution method. We will let u = t/2t, du = 3t/2 dt.

Thus, the integral becomes:

g(x) = -1/2 * ∫x-1 cos(u) du

Using integration by parts, we get:

g(x) = -1/2(x-1 * sin(u) + ∫x-1 sin(u) du).

After integrating the second part, we obtain the final result:

g(x) = -1/2(x-1 * sin(u) - x-1 * cos(u))./2t

we subtitute the value of u to get:

g(x) = -1/2(x-1 * sin(t³/2t) - x-1 * cos(t³/2t)).

Learn more about Integral here: brainly.com/question/18125359

#SPJ11

Answer:

43 29/100

Step-by-step explanation:

Subtract 34 23/25 from 78 21/100.

To do this, you have to turn 23/25 to something over 100.

Multiply the numerator and denominator by 4, since that is how you get 25 to 100. This will give you 92/100. So now you have 32 92/100

You have to take away one from 78, which makes it 77 and then add 100 to 21, since 100 is equal to 1.

You now have 77 121/100 - 32 92/100.

77 121/100 - 32 92/100 = 43 29/100