Answer:
-1/10
Step-by-step explanation:
The cost of staying at a hotel is $129 per night for the room plus a resort fee of $9.95 for high-speed internet access. Write an equation that that represents the cost of staying at the hotel, C, for n nights.
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
Based on previous sales, Ron predicted sales of 80 pen sets. He actually sold 100 pen sets. Find the error and absolute error for the pen sets.
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
A process has the following transfer function: Gp(s) - 26-38 + 1)/(5s + 1) a. Using a P-controller, find the range of the controller gain that will yield a stable closed loop system. b. Simulate the process with the P controller to confirm the range of stability as determined in part (a).
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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108 students going on a field trip to pan for gold if they are going in bands that holds five students each how many Vans are needed how many students will ride in the van isn't full
Given the following functions, find each of the values: f(t) = tz - t - 42 r ( t ) = t+6 ( f t r ) ( - 5 ) = ( f - ) ( - 4) = ( fr)
(0) = ( - 3 ) =
(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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Anna babysits for $5 per hour. Find h, the number of hours she needs to work
to make $15. The letter h, in the problem represents
the:
A. constant
B. variable
C. coefficient
Answer:
H is constant
H = 3
Step-by-step explanation:
Answer:
its A: Constant jejejejejejsjsjsj
c) Which of these numbers is a square number?
A
B
с
D
4 x 10 9 x 104 4 x 10 9 x 10
Answer:
Could you arrange that better so that I can reanswer it accurately.
Step-by-step explanation:
Kelly and Jack bought tickets to the opera. Each ticket cost $45.00 and
there was an 8% sales tax on the total order. How much did Kelly and
Jack spend for their opera tickets?
Answer:
$48.60
Step-by-step explanation:
The sales tax is $3.60
$45.00+$3.60= 48.60
-0.25(-1) please answer ASAP
Answer:
0.25
Multiplying two negatives make a positive.
Step-by-step explanation:
Answer:
0.25 would be the
soultion
The larger of two numbers is 10 more than the smaller number. Also, five times the larger number
is 40 more than 6 times the smaller number. Find both numbers.
Answer:
10 and 20Step-by-step explanation:
x - the smaller number
x 10 - the larger number
5(x+10) - five times the larger number
6x - 6 times the smaller number
6x+40 - 40 more than 6 times the smaller number
6x + 40 = 5(x + 10)
6x + 40 = 5x + 50
-40 -40
6x = 5x + 10
-5x -5x
x = 10
x+10 = 10 + 10 = 20
Which expression is equivalent to 3/x+2 + 5/x-4
A. -2x+22/(x+2)(x-4)
B. 2x-2/(x+2)(x-4)
C. 8/(x+2)(x-4)
D. 8x-2/(x+2)(x-4)
Answer:
A.−2x2+18x−88x+2
B.2x2+2x+8x+2
C.8x−32x+2
D.8x2+14x+8x+2
Step-by-step explanation:
Lucie is struggling with Geometry and is in need of a private tutor. She has two candidates in mind. The veteran tutor charges $15 for the first session plus $60 per hour afterward. The new college graduate charges $45 for the first session plus $50 per hour afterward. How many hours must these two tutor in order to earn the same amount of money?
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]
what is 20(21+68)-100+6
how to reduce the fraction 12/15
Answer:
4/5
Step-by-step explanation:
I know the answer by doing math in my head
Given that x:28=7:x Calculate the positive value of x .
Answer:
14
Step-by-step explanation:
Jonah is hosting a
party at his house. He
is charging $10 per
person and he has to
pay the DJ $180 for
the night. How many
people attended if he
ended up with $500
when the night was
over?
Answer: 32 people
Step-by-step explanation:
500-180=320
320/10=32
Answer:68 People
Step-by-step explanation: This is because if he ended up with $500 by the end of the night, this is after he paid the DJ. So we assume he paid the DJ so we add $180 to what he ended up with that night. That adds up to $680 so $680 is the amount he made that night from the people coming in. Divide that by 10 to get the amount of people, and you get 68. So 68 people came to his party.
to complete her holiday wrapping
Answer:
Say what? Elaborate and I can help you
Step-by-step explanation:
Answer:
at least 20
Step-by-step explanation:
5. Find the difference of the square of 65 and the square of 45
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.
Explanation: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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Mary is organising a charity hot dog sale.
There are 18 bread rolls in each packet.
There are 15 hot dogs in each packet.
Mary buys exactly the same number of bread rolls as hot dogs.
What is the smallest number of each packet that Mary can buy?
Answer:
11 packets both bread rolls and hotdogs. bread rolls 5 and hotdogs 6
Step-by-step explanation:
So it's LCM.
18:15
90:90
Answer:
5 packets of bread rolls and 6 packets of hotdogs.
Step-by-step explanation:
18x=15y
6x=5y
x/y=5/6
18(5)=15(6)
If 3x + 4y = 15, find an equation solving for x
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
16. Determine the parametric equations of each line. a. the line that passes through (−5, 10) and has a slope of 3 b. the line that passes through (1, -1) and is perpendicular to the line (x, y) = (4, −6) + t(2, −2) c. the line that passes through (0, 7) and (0, 10)
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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In a recent survey of 600 randomly selected voters in the town of Brookland, 482 are in favor of increasing funding for the town's mental health services. Based on the survey results, approximately how many of Brookland’s 19,310 voters are in favor of increasing funding for the town's mental health services?
Using the information provided above how many in the town are in favor of mental health services funding being increased? From the number of those in favor of increasing funding what is the percentage of voters? If there is a margin of error of 3% what would happen if they increased the number of those randomly selected to 1,200?
Create a document to capture your response. Make sure to show your work and explain how you arrived at your answer with at least 3 complete sentences. Upload to Dropbox when complete.
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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Please need help it’s due today.
9514 1404 393
Answer:
A, E, slope of 6B, F, slope of 1/4C, D, slope of 2/5Step-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)
-5y + 12 + 8y − 6 − 2 = ______ help plz
Answer:
(combine like terms)
-5y + 12 + 8y − 6 − 2
3y+12-8
3y+4
HELP NOW PLEASE!!!!!!!!!!!!
Answer:
Negative numbers are used in navigation and directions determination
what is the distance between 4, 6 and 3,2
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
3 candies cost 90 cents. What is the cost of a candy? Let x be the cost of a candy.
Anyone know how to do???
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 graph of Y = f(x) is graphed below. What is the end behavior of f(x)?
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 ⇒∞.
answers plz
i don’t get it
