What is the solution to this inequality?
X-6<-4
O A. x<2
O B. X<-10
C. x>-10
O D. X>2

Answer:

14

Step-by-step explanation:

Answer:

Angle JC is 63.

Angle AJ is 117

Angle BC is 117

Angle DH is 63

Angle HF is 117

Angle FE is 63

Angle DE is 117

Answer: A=-20 B=20 its the right answer so your welcome

Answer:

A= -20, B = 20

Step-by-step explanation: just did the instruction on Edge

Answer:

C=$129n+$9.95

Step-by-step explanation:

Cost = 129 dollars multiplied by n (number of nights) plus the initial fee of $9.95

So for 1 night: $138.95=$129(1)+9.95. The cost is $138.95 because you are multiplying $129 by 1, and then adding $9.95

Answer:

2.33 hours

Step-by-step explanation:

Given

Veteran Tutor

[tex]Charges = \$15[/tex] --- first session

[tex]Hourly\ Rate = \$60[/tex]

College Graduate

[tex]Charges = \$45[/tex] --- first session

[tex]Hourly\ Rate = \$50[/tex]

Required

Determine the number of hours they earn the same amount

Represent the hours with x

First, we need to calculate the total charges for the veteran tutor for x hours;

[tex]Total = 15 + 60x[/tex]

Next, we need to calculate the total charges for the college graduate tutor for x hours;

[tex]Total = 45x + 50[/tex]

For them to earn the same amount, we have:

[tex]15 + 60x = 45x + 50[/tex]

Solving for x

[tex]60x - 45x = 50 - 15[/tex]

[tex]15x = 35[/tex]

Divide through by 15

[tex]x = \frac{35}{15}[/tex]

[tex]x = 2.33\ hours[/tex]

Answer:

Say what? Elaborate and I can help you

Step-by-step explanation:

Answer:

at least 20

Step-by-step explanation:

[tex]5x+7=2x-2\\5x+7-2x+2=0\\3x+9=0\\3x=-9\\x=\frac{-9}{3} \\x=-3[/tex]

Thus, x = -3

[ Check ]

Substitute x = -3 in the equation

[tex]5(-3)+7=2(-3)-2\\-15+7=-6-2\\-8=-8[/tex]

The equation is true so the answer is x = -3 #

Answer:

move 2x over the equal sign do the same for seven so that the equation reads 5x - 2x = -2 - 7 so it will be 3x = -9 divide both sides by 3 x= -3

Answer:

(combine like terms)

-5y + 12 + 8y − 6 − 2  

3y+12-8

3y+4

9514 1404 393

Answer:

Step-by-step explanation:

Each triangle represents a triangle that could be used to compute the slope of a line. That slope is the ratio of the vertical measure to the horizontal measure. For each of the triangles shown, the associated slopes are ...

  A: 54/9 = 6

  B: 15/60 = 1/4

  C: 18/45 = 2/5

  D: 16/40 = 2/5

  E: 72/12 = 6

  F: 13/52 = 1/4

Then the boxes on each horizontal line can be filled with ...

  A: (E, 6)

  B: (F, 1/4)

  C: (D, 2/5)

Answer:

Distance = 4.1231

Step-by-step explanation:

D = √((x2 - x1)^2 + (y2 - y1)^2

D = √((3 - 4)^2 + (2 - 6)^2)

D = √((-1)^2 + (-4)^2

D = √1+16

D = √17

D = 4.1231

Answer:

128

26 +26 is 52.

Total sum of the angles has to be 180.

180-52=128

Answer:

x = 128 degrees

Step-by-step explanation:

This is an isosceles triangle, so that means that both base angles equal 26 degrees.

The sum of a triangle is 180 degrees, so we can use that to solve for x.

x + 26 + 26 = 180

x + 52 = 180

x = 128

Hope this helps!

Answer:

x=105

Step-by-step explanation:

3x+4y=15

3x+4y=7

7*15=105

x= 105

i really hopes this helps i did this in last semester

(ftr)(-5) = -5z - 37

(f-)(-4) = -4z - 38

(fr)(0) = -252

(fr)(-3) = -9z - 117

To find the values of the given functions at specific inputs, we substitute the given inputs into the respective functions.

Given:

f(t) = tz - t - 42

r(t) = t + 6

Let's evaluate each value step by step:

(ftr)(-5):

First, substitute -5 into f(t) and then substitute the result into r(t).

f(-5) = (-5)z - (-5) - 42 = -5z + 5 - 42 = -5z - 37

r(-5) = (-5) + 6 = 1

(ftr)(-5) = (-5z - 37)(1) = -5z - 37

(f-)(-4):

First, substitute -4 into f(t).

f(-4) = (-4)z - (-4) - 42 = -4z + 4 - 42 = -4z - 38

(f-)(-4) = -4z - 38

(fr)(0):

First, substitute 0 into f(t) and then substitute the result into r(t).

f(0) = (0)z - (0) - 42 = -42

r(0) = (0) + 6 = 6

(fr)(0) = (-42)(6) = -252

(fr)(-3):

First, substitute -3 into f(t) and then substitute the result into r(t).

f(-3) = (-3)z - (-3) - 42 = -3z + 3 - 42 = -3z - 39

r(-3) = (-3) + 6 = 3

(fr)(-3) = (-3z - 39)(3) = -9z - 117

To summarize:

(ftr)(-5) = -5z - 37

(f-)(-4) = -4z - 38

(fr)(0) = -252

(fr)(-3) = -9z - 117

Please note that the values of the functions depend on the variable z, which is not provided in the given question. Therefore, the expressions remain in terms of z.

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80.49% of Brookland voters support increasing funding for mental health services.

To estimate the number of voters in favor of increased funding for mental health services in Brookland, one can use the percentage of voters who participated in the survey and apply it to the total number of voters in the city.

The percentage of supporters of the financial increase is calculated by dividing the number of supporters by the total number of survey respondents:

Ratio = (482 / 600) = 0.8033

To estimate the number of voters, we multiply the proportion by the total number of voters in the city:

Estimated number of voters = 0.8033 * 19,310 = 15,541

An estimated 15,541 voters in Brookland support increasing funding for the city's mental health services.

To calculate the percentage of voters, we divide the estimated number of voters by the total number of voters in the city and multiply by 100:

Percentage of voters = (15,541 / 19,310) * 100 = 80.49%

Therefore, approximately 80.49% of Brookland voters support increased funding for mental health services.

If you increase the number of randomly selected voters to 1200, the margin of error decreases. A larger sample size usually provides a more accurate representation of the population.

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Answer:

The answer is angle 7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

It asks for the alternate exterior angle

1 is adjacent to 2

5 is interior

and 8 is not alternate to 2, so that leaves 7

The correct answer of a) the range of controller gain that will yield a stable closed-loop system is 0 ≤ Kp ≤ 1.6.

a. Using a P-controller, the range of the controller gain that will yield a stable closed-loop system is determined. A proportional controller (P-controller) is a feedback controller that performs a proportional action to the error signal (the deviation between the process variable and its set point). The closed-loop transfer function (CLTF) can be found by multiplying the plant transfer function and the controller transfer function. The feedback equation for a proportional controller is as follows: u(t) = Kp [e(t)] where u(t) is the control signal, Kp is the proportional gain, and e(t) is the error signal. The closed-loop transfer function (CLTF) for the system can be expressed as Gcl(s) = Gp(s) / (1 + Kp Gp(s))

Hence, the range of controller gain that will yield a stable closed-loop system is 0 ≤ Kp ≤ 1.6.

b. The process can be simulated with the P-controller to confirm the stability range determined in part (a). Simulink can be used for simulation purposes. The following is the Simulink model for the P-controller: Simulink model for P-controller. In this model, the “step” block is used to generate a step input signal. The “Gain” block is used to set the gain value for the controller. The “Transfer function” block represents the plant transfer function. The “Sum” block is used, to sum up the error signal and the control signal. The “Scope” block is used to view the output signal. By changing the gain value, the response can be observed, and the range of stability can be verified.

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Answer:

x=27

Step-by-step explanation:

m<AOB = 180

36+90+2x=180

x=27 degrees

Answer:

B

Step-by-step explanation:

use pythagoras first

x² + x² = (12√2)²

expand & simplify the squares

2x² = 144(2)

x² = 144

root both sides to get x

x = 12

Answer:

$18 per ticket

Step-by-step explanation:

you have to find the cost of one ticket so you divide 306 by 17 and you get $18

Answer:

Measure of each angle is 90, 45, 45 degrees

Step-by-step explanation:

We know a right angle automatically is 90 degrees. An entire triangle is 180 degrees. Lets make our problem.

90 + 2x = 180

Subtract 90 from both sides: 2x = 90

Divide each side by 2: x = 45

I hope this helped, please mark Brainliest, thank you!

The square of 65 and the square of 45 are separated by 2200.

We must first compute each square independently and then compare the two outputs to determine the difference between the squares of 65 and 45.

A number is multiplied by itself to produce the square of a number. Let's determine the squares of 65 and 45 now:

65 squared:

65 * 65 = 4225

45 squared:

45 * 45 = 2025

Find the difference between these two squares by doing the following:

4225 - 2025 = 2200

Consequently, 2200 is the difference between the squares of 65 and 45.

Consider the following to provide extra context for this:

The area of a square with each side is represented by the square of 65, which is 4225.65 units in size. Similarly, the area of a square with sides that are each 45 units long is represented by the square of 45, or 2025.

The difference in their areas, which is 2200 square units, can be calculated by deducting the area of the smaller square (2025) from the area of the larger square (4225).

As a result, the larger square, which corresponds to the square of 65, has 2200 square units more surface area than the smaller square, which corresponds to the square of 45.

In summary, there are 2200 units in the square of 65 and the square of 45.

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The difference between the square of 65 and the square of 45 is calculated by first finding the square of each number (4225 and 2025 respectively) then subtracting the smaller number from the larger one, resulting in a difference of 2200.

The subject of this question is Mathematics. We are being asked to find the difference between the square of 65 and the square of 45. First, let's calculate the square of each number. The square of a number is found by multiplying the number by itself. So, the square of 65 is 65 * 65 = 4225 and the square of 45 is 45 * 45 = 2025.

Next, to find the difference between these two values, we subtract the smaller value (2025) from the larger value (4225). This gives us 4225 - 2025 = 2200.

Therefore, the difference of the square of 65 and the square of 45 is 2200.

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The probability of getting 0 lemons in the sample is 0.8836, the probability of getting 1 lemon in the sample is 0.1060, and the probability of getting 2 lemons in the sample is 0.0564.

The probability distribution of x can be calculated as follows:

Given that 6% of all cars produced at a large auto company are lemons. This means that out of every 100 cars manufactured at the company, 6 of them are lemons.Let x denote the number of lemons in this sample. Then, x can take the values 0, 1, or 2. To find the probability of each value of x, we use the binomial probability formula, which is:

P(x) = (nCx) * p^x * (1-p)^(n-x)

where n is the sample size, p is the probability of success, and x is the number of successes.

The sample size is 2 because we are selecting two cars at random from the production line. The probability of success (getting a lemon) is 0.06. Using the binomial probability formula, we get:

P(0) = (2C0) * 0.06^0 * (1-0.06)^(2-0) = 0.8836

P(1) = (2C1) * 0.06^1 * (1-0.06)^(2-1) = 0.1060

P(2) = (2C2) * 0.06^2 * (1-0.06)^(2-2) = 0.0564

Therefore, the probability distribution of x is:X P(x) 0. 0.8836 1. 0.1060 2. 0.0564

In conclusion, the probability of getting 0 lemons in the sample is 0.8836, the probability of getting 1 lemon in the sample is 0.1060, and the probability of getting 2 lemons in the sample is 0.0564.

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Answer:

By a search in google, i found the graph for this problem, that is seen below.

The end behavior of f(x) is "how the function behaves as IxI takes large values"

Now, in the graph you can see that around x = -8, the graph goes down very quickly, and around x = -4, the graph goes up very quickly, and in neither case is a sign that the graph will have an inflection point or a change in concavity/convexity, so the left side goes to minus infinity and the right side goes to plus infinity.

Then the correct option is:

From this, we can conclude that if x ⇒ -∞, we will take the left part of the graph, then y⇒ -∞

And when x ⇒∞, we must take the right part of the graph, then y ⇒∞.

In Question 10, the functions f(x) = sin(x) and g(x) = cos(x) are considered, and W is defined as the span of f and g. The problem requires demonstrating the linear independence of f and g using the Wronskian. Additionally, for any real number a, new functions fi(x) = sin(x + a) and gi(x) = cos(x + a) are introduced, and it needs to be shown that f₁.91 ∈ W. Finally, it is required to prove that the set {f₁,91} is linearly independent.

10.1 To show that f and g are linearly independent, we can use the Wronskian. The Wronskian of two functions f(x) and g(x) is defined as the determinant of the matrix [f(x), g(x)] and its derivative [f'(x), g'(x)]. In this case, the Wronskian of f(x) = sin(x) and g(x) = cos(x) is:
W(f, g) = |sin(x) cos(x)|
|cos(x) -sin(x)|
Calculating the determinant, we get W(f, g) = sin^2(x) + cos^2(x) = 1. Since the Wronskian is nonzero (1 ≠ 0), f and g are linearly independent.
10.2 To show that f₁.91 ∈ W, we consider the function f₁.91(x) = sin(x + a). Since sin(x + a) can be rewritten as sin(x)cos(a) + cos(x)sin(a), we can express f₁.91 as a linear combination of f and g:
f₁.91(x) = sin(x)cos(a) + cos(x)sin(a) = cos(a)sin(x) + sin(a)cos(x) = g(x)cos(a) + f(x)sin(a).
Thus, f₁.91 is a linear combination of f and g, indicating that it belongs to the span W.
10.3 To show that {f₁,91} is linearly independent, we need to demonstrate that the only linear combination of f₁.91 that equals the zero function is the trivial combination where all coefficients are zero. Suppose we have c₁f₁.91(x) = 0 for some scalar c₁. Expanding this expression, we get c₁(sin(x + a)) = 0. Since sin(x + a) ≠ 0 for any x, this implies that c₁ must be zero. Therefore, the set {f₁,91} is linearly independent.
Overall, using the Wronskian, we established the linear independence of f and g, showed that f₁.91 belongs to the span W, and proved that {f₁,91} is linearly independent.

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Answer:

Negative numbers are used in navigation and directions determination

a. The line passing through (-5, 10) with a slope of 3 can be parametrized as x = -5 + 3t and y = 10 + 3t.

b. The line passing through (1, -1) and perpendicular to (x, y) = (4, -6) + t(2, -2) can be parametrized as x = 1 + (-1/2)t and y = -1 + (1/2)t.

c. The line passing through (0, 7) and (0, 10) can be parametrized as x = 0 and y = 7 + t.

a. To determine the parametric equations for the line passing through (-5, 10) with a slope of 3, we can use the point-slope form of a line. The equation is given by y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope. Plugging in the values, we have y - 10 = 3(x - (-5)). Simplifying this equation gives y = 3x + 25. By letting x = -5 + t, we can obtain the parametric equations x = -5 + 3t and y = 10 + 3t.

b. To find the line perpendicular to (x, y) = (4, -6) + t(2, -2), we can use the fact that the slopes of perpendicular lines are negative reciprocals. The given line has a slope of -2/2 = -1. Thus, the perpendicular line will have a slope of 1. Using the point-slope form again with the point (1, -1), we get y - (-1) = 1(x - 1). Simplifying gives y = x. Therefore, the parametric equations for the perpendicular line are x = 1 + (-1/2)t and y = -1 + (1/2)t.

c. The line passing through (0, 7) and (0, 10) is a vertical line parallel to the y-axis. This means that the x-coordinate remains constant. Hence, the parametric equation for x is x = 0. As the line passes through (0, 7), we can let y = 7 + t, where t is the parameter. Therefore, the parametric equations for this line are x = 0 and y = 7 + t.

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