A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x 3y = -21. 5. What is the equation of the central street PQ? A. -3x 4y = 3 B. -1. 5x − 3. 5y = -31. 5 C. 2x y = 20 D. -2. 25x y = -9. 75.

Answer:

1/4=25 minutes an hour

25×2=50

it will take him 50 minutes

twenty-three and seven hundred six thousandths is 23.706

Answer:

31

Step-by-step explanation:

Answer:

Step-by-step explanation

The sequence of transformations that maps ∆ABC onto ∆A′B′C′ is a 90º clockwise rotation about the origin followed by a translation six units down.

The transformations are discovered building a relation between the vertices of the original triangle and of the transformed triangle.

The vertices of the original triangle ABC are given as follows:

A(-4,4), B(-8,2) and C(-6,-6).

The vertices of the transformed triangle A'B'C' are given as follows:

A'(4, -2), B'(2,2), and C'(-6,0).

Then the complete rule that describes the transformation is presented as follows:

(x,y) -> (y, -x-6).

The meaning of each transformation is given as follows:

More can be learned about transformations at https://brainly.com/question/28792248

#SPJ1

2 intersecting lines are shown. A line with points T, R, and W intersects a line with points S, R, and V at point R.  the value of x  is  mathematically given as

x=20

This is further explained below.

In most cases, two lines that cross one other are shown. In this example, line TW and line SV meet at point R.

The angles are as follows, starting at the top and moving clockwise:

Angels \(3x\textdegree \ and\ (x+40 \textdegree)\) are considered horizontal angles because of the description (opposite when two lines intersect). Vertical angles are equivalent, therefore

x=20

Read more about lines

https://brainly.com/question/17188072

#SPJ1

Answer:

Step-by-step explanation:

it's a rectangular box  with dimensions, 17.7 x 6.8 x 6.7 = 806.412

806.4 \(ft^{3}\)   to the nearest 10th  

The second derivative of the function r(t) = (118,5t, cos t),

is determine as r''(t) = (0, 0, - cos t).

The second derivative of the function is calculated by applying the following method.

The given function;

r(t) = (118, 5t, cos t)

The first derivative of the function is calculated as;

derivative of 118 = 0

derivative of 5t = 5

derivative of cos t = - sin t

Add the individual derivatives together;

r'(t) = (0, 5, - sin t)

The second derivative of the function is calculated as follows;

derivative of 0 = 0

derivative of 5 = 0

derivative of - sin t = - cos t

Adding all the derivatives together;

r''(t) = (0, 0, - cos t)

Thus, the second derivative of the function is determine as  r''(t) = (0, 0, - cos t).

Learn more about derivative here: https://brainly.com/question/28376218

#SPJ4

Answer:

13/30

Step-by-step explanation:

Add: -1/

3

+ 2/

5

= -1 · 5/

3 · 5

+ 2 · 3/

5 · 3

= -5/

15

+ 6/

15

= -5 + 6/

15

= 1/

15

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(3, 5) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 5 = 15. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - minus one third plus two fifths = one fifteenth.

Subtract: 1/

2

- the result of step No. 1 = 1/

2

- 1/

15

= 1 · 15/

2 · 15

- 1 · 2/

15 · 2

= 15/

30

- 2/

30

= 15 - 2/

30

= 13/

30

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 15) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 15 = 30. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - one half minus one fifteenth = thirteen thirtieths.

0.0912   is the probability that the score will be 120 or higher .

What is probability explain with an example?

Zlower = X₁ - μ/σ  = 120 - 100/15  = 1.33

the probability is compared as

                    Pr ( X ≥ 120 ) = Pr(X - 100/15 ≥ 120 - 100/15)

                                         = Pr(Z ≥ 120 - 100/15

                                          = Pr( Z ≥ 1.33)

                                          = 0.0912

Since 0.0912 > 0.05 i.e. this IQ score is not unusual and hence I can believe the claim.

Learn more about probability

brainly.com/question/11234923

#SPJ4

The domain and range are the set of x and values of the function are in the table.

the function as a table,

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

What is the domain and range?

The domain and range are fundamental concepts in mathematics that are used to describe the input and output values of a function or relation.

The domain of a function refers to the set of all possible input values, or x-values, for which the function is defined.

The range of a function refers to the set of all possible output values, or y-values.

To find the domain and range of functions and represent them in different formats.

To find the domain and range of a function:

The domain refers to the set of all possible input values (x-values) for the function.

The range refers to the set of all possible output values (y-values) for the function.

To represent the function as a table, you would list the input-output pairs. For example:

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

To represent the function as a mapping, you would indicate the correspondence between the input and output values.

For example:

-3     ->   -4

-1     ->     2

0     ->     0

-3    ->     5

2     ->     4

To represent the function as a graph, The x-values would be on the horizontal axis, and the y-values would be on the vertical axis.

The points (-3, -4), (-1, 2), (0, 0), (-3, 5), and (2, 4) would be plotted accordingly.

Hence, The domain and range are the set of x and values of the function are in the table.

the function as a table,

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

To learn more about the domain and range visit:

https://brainly.com/question/26098895

#SPJ4

Answer:

A.20%

hope this helped:D

Answer:

yes the ordered pair is a solution

Step-by-step explanation:

(x, y) = (0,0)

y < -x + 3

0 < - (0) + 3  

0 < 3

true, ordered pair is a solution

Answer:

Step-by-step explanation:

I can't help u

In a money box containing only 10-cent and 20-cent coins, there are a total of 22 coins with a combined value of $2.90. The task is to determine the number of coins of each denomination.

Let's assume the number of 10-cent coins as 'x' and the number of 20-cent coins as 'y'. Since we have a total of 22 coins, we can express this as the equation x + y = 22 (equation 1).

Next, we need to consider the total value of the coins. Each 10-cent coin contributes 10 cents to the total value, and each 20-cent coin contributes 20 cents. Since the total value is $2.90, we can express this as the equation 10x + 20y = 290 (equation 2), considering the values in cents.

To solve this system of equations, we can multiply equation 1 by 10 to eliminate 'x' from equation 2. This gives us 10x + 10y = 220 (equation 3). Subtracting equation 3 from equation 2, we get 10y = 70, which simplifies to y = 7.

Substituting the value of 'y' back into equation 1, we find x + 7 = 22, which gives us x = 15. Therefore, there are 15 coins of 10 cents and 7 coins of 20 cents in the money box.

Learn more about cent here: https://brainly.com/question/2192893

#SPJ11

Answer:

-28

Step-by-step explanation:

Technically, you just have to subtract all of these negatives. This is an easier way to look at it...

-12-6-3-7  It's easier (for me) to subtract left to right.

-18-3-7

-21-7

-28

Hope this helped you!! Have a great day c:

Therefore, the value of cotθ is 4/3. Option a. 4/3 is the correct option.

To find cotθ, we can use the identity cotθ = 1/tanθ. Since cosθ = 4/5, we can find sinθ using the Pythagorean identity:

sinθ = √(1 - cos²θ)

= √(1 - (4/5)²)

= √(1 - 16/25)

= √(9/25)

= 3/5

Now, we can find tanθ = sinθ/cosθ

= (3/5) / (4/5)

= 3/4.

Finally, cotθ = 1/tanθ

= 1 / (3/4)

= 4/3

To know more about value,

https://brainly.com/question/29021950

#SPJ11

To evaluate the given integral using Green's theorem, we need to express it in the flux form.  The result of the integral is -r/6.

Green's theorem states that for a region R bounded by a simple closed curve C, the flux of the vector field F = (P, Q) across C is equal to the double integral of the curl of F over R.

In this case, we have the vector field F = (r^2xy, 1/2y^3), where r is the position vector (x, y).

The flux form of Green's theorem is:

\(∫∫R (curl F) · dA = ∫∫R (∂Q/∂x - ∂P/∂y) dA\)

Let's calculate the curl of F:

∂Q/∂x = 0

∂P/∂y = 2rxy

So, the curl of F is given by\((∂Q/∂x - ∂P/∂y) = 0 - 2rxy = -2rxy.\)

Now, let's evaluate the integral using the flux form of Green's theorem:

∫∫R (-2rxy) dA

Since the region R is a triangle with vertices (0,0), (1,0), and (0,1), we can express it as:

\(R = {(x, y) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 - x}\)

Now, we can rewrite the integral:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Let's evaluate the inner integral first:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Now, evaluate the outer integral:

\(∫₀¹ -r(x-x²) dx = -r(x²/2 - x³/3) ∣₀¹ = -r(1/2 - 1/3) = -r(3/6 - 2/6) = -r(1/6) = -r/6\)

Therefore, the result of the integral is -r/6.

Learn more about Green's theorem

https://brainly.com/question/27549150

#SPJ11

The graphics tool used to help determine whether a process is in control or out of control is a. control chart.

A graphical tool used to help determine whether a process is in control or out of control is a control chart. A control chart is a chart used to monitor the stability of a process over time and to distinguish between common cause and special cause variation. It displays data points in relation to upper and lower control limits, which are calculated using statistical methods.

The control chart provides a visual representation of the process and enables users to identify trends, shifts, or other patterns that may indicate that the process is out of control.

To know more about graphics visit:-

https://brainly.com/question/20566728

#SPJ11

Answer:

a. 5

i need to write 20 characters.

A correlation does not simply mean that two or more variables are present together. The statement is false.

Correlation can be positive, negative, or zero.
Positive correlation means that as one variable increases, the other variable also increases. For example, there is a positive correlation between the amount of studying and exam scores.

Negative correlation means that as one variable increases, the other variable decreases. For example, there is a negative correlation between the number of hours spent watching TV and physical activity levels.

Zero correlation means that there is no relationship between the variables. For example, there is zero correlation between the number of pets someone owns and their height.

It's important to note that correlation does not imply causation. Just because two variables are correlated does not mean that one variable causes the other to change.

To summarize, a correlation measures the statistical relationship between variables, whether positive, negative, or zero. It is not simply the presence of two or more variables together. The statement is false.

Know more about correlation here,

https://brainly.com/question/30116167

#SPJ11

Answer:

umm ok srry this is confusing

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Given

\(\frac{4}{3}\) = \(\frac{8}{x}\) ( cross- multiply )

4x = 24 ( divide both sides by 4 )

x = 6

Answer:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be  0  or  1  for each of its variables. In this case, the degree of variable  y  is  1  and the degree of variable  x  is  5 .

Therefore, it is not linear.

Answer:

the 2nd one

Step-by-step explanation:

Answer:

Part A: 13.5 meters

Part B: 3.25 hours

Step-by-step explanation:

Work shown

Answer:

72.26

Step-by-step explanation:

Circumference formula is C=2\(\pi\)r

Radius is 1/2 the diameter so, 23/2 = 11.5

11.5 will be your radius.

Now, plug your radius into your formula: 2 x \(\pi\) x 11.5

and your answer will be approximately 72.26.

Answer:

3 < x < 5

Step-by-step explanation:

The employee borrowed $7000 from a bank at an interest rate of 11.6% and plans to repay the loan with a bonus in 125 days. Using banker's interest of 360 days, the discount on the loan is $244.38, and the proceeds received by the employee are $6,755.62.

To calculate the discount on the loan, we need to find the interest charged for 125 days. First, we convert the interest rate to a decimal by dividing 11.6% by 100, giving us 0.116. Next, we calculate the interest for 125 days using the banker's interest formula: Interest = Principal × Rate × Time. Substituting the values, we get Interest = $7000 × 0.116 × (125/360) = $244.38. This represents the discount on the loan.

To find the proceeds received by the employee, we subtract the discount from the principal amount. Proceeds = Principal - Discount = $7000 - $244.38 = $6,755.62. Therefore, the employee receives $6,755.62 as the actual amount borrowed.

The employee borrows $7000 from the bank at an interest rate of 11.6%. The discount on the loan, calculated using the banker's interest of 360 days, is $244.38. The proceeds received by the employee, after deducting the discount from the principal amount, are $6,755.62.

Learn more about interest here:
brainly.com/question/32190011

#SPJ11