Answers
We are given a parallelogram JKLM.
Recall that the opposite sides of a parallelogram are equal.
This means that JK = LM
\(\begin{gathered} JK=LM \\ 7x=3x+14_{} \end{gathered}\)Let us solve the above equation for x
\(\begin{gathered} 7x=3x+14 \\ 7x-3x=14 \\ 4x=14 \\ x=\frac{14}{4} \\ x=\frac{7}{2} \\ x=3.5 \end{gathered}\)So, the value of x is 3.5
The length of JK is
\(JK=7x=7(\frac{7}{2})=\frac{49}{2}=24.5\)Therefore, the length of JK is 24.5
Related Questions
como sacar el área sombreada
Answers
Answer:
225
Step-by-step explanation:
(20*30/2) - (15*10/2)
300 - 75 = 225
Classified ads in a newspaper offered for sale 20 used cars of the same make and model. The output of a regression analysis is given. Assume all conditions for regression have been satisfied. Create a 95% confidence interval for the slope of the regression line and explain what your interval means in context. Find the 95% confldence interval for the slope. The confidence interval is (Round to two decimal places as needed.)
Answers
Confidence interval refers to a statistical measure that helps quantify the amount of uncertainty present in a sample's estimate of a population parameter.
This measure expresses the degree of confidence in the estimated interval that can be calculated from a given set of data. In this scenario, the task is to build a 95% confidence interval for the regression line's slope. The regression analysis output has already been given. According to the output given, the estimated regression model is:y = 25,000 + 9,000 x, where x represents the number of miles the car has been driven and y represents the car's selling price.
The formula to calculate the 95% confidence interval for the slope is:Slope ± t · SE, where Slope is the point estimate for the slope, t represents the critical t-value for a given level of confidence and degrees of freedom, and SE represents the standard error of the estimate. The value of t can be calculated using the degrees of freedom and a t-table. Here, the number of pairs in the sample size is 20, and the model uses two parameters.
Therefore, the degrees of freedom would be 20 - 2 = 18.The critical t-value for a 95% confidence interval and 18 degrees of freedom is 2.101. Using the formula given above, we can calculate the 95% confidence interval for the slope as follows:Slope ± t · SE= 9000 ± (2.101)(700) ≈ 9000 ± 1,467.7 = [7,532.3, 10,467.7]Therefore, the 95% confidence interval for the slope is [7,532.3, 10,467.7]. This means that we are 95% confident that the true value of the slope for this model falls within the interval [7,532.3, 10,467.7].
It implies that the price of the car increases by $7,532.3 to $10,467.7 for each mile driven by the car. In conclusion, a 95% confidence interval has been calculated for the regression line's slope, which indicates that the actual slope of the model lies between the range [7,532.3, 10,467.7].
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The surface area of a cone is given by the formula S = pi*t + pi * r ^ 2 the formula for LSlant height ( l = S - r ^ 2 l = S + r ^ 2 0 l = s/pi - r ^ 2 0 l = 5/pi + r ^ 2
Answers
Answer:
\(l = \frac{S}{\pi r} - r\)
Step-by-step explanation:
Given the surface area of a cone expressed as S = \(\pi r^{2} +\pi rl\) where r is the radius of the cone and 'l' is its slant height. To find the slant height from the formula, we will make l the subject of the formula as shown;
\(S = \pi r^{2} + \pi rl\\S = \pi r (r + l)\\\frac{S}{\pi r} = r+l\\l = \frac{S}{\pi r} - r\\\)
The final expression gives the value of the slant height.
Answer: l=s/3.14-r2
Step-by-step explanation:
did it on Edg and the 3.14 i’d supposed to be the symbol for pi hope it helps :)
Match the correct equation to the statement.
1. tan x has a vertical asymptote at x =
2. cotx has a vertical asymptote at x =
A) pi/2-n(pi)
B)n(pi)
C)n(pi/2)
D)pi/2+n(pi)
Answers
Answer:
1234
Step-by-step explanation:
Identify each horizontal and vertical translation of the parent function y=|x| . y=|x-4|+2 .
Answers
The function y = |x - 4| + 2 represents a horizontal translation to the right by 4 units and a vertical translation upwards by 2 units compared to the parent function y = |x|.
The function y = |x - 4| + 2 represents a horizontal and vertical translation of the parent function y = |x|.
In the given function, the parent function y = |x| has undergone a horizontal translation to the right by 4 units. This means that the graph of y = |x - 4| is shifted horizontally to the right by 4 units compared to the graph of y = |x|.
Additionally, the parent function y = |x| has undergone a vertical translation upwards by 2 units. This means that the graph of y = |x - 4| + 2 is shifted vertically upwards by 2 units compared to the graph of y = |x|.
To summarize, the function y = |x - 4| + 2 represents a horizontal translation to the right by 4 units and a vertical translation upwards by 2 units compared to the parent function y = |x|.
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A man is walking away from a lamppost with a light source h = 4 m above the ground. The man is m = 2 m tall. How long is the man's shadow when he is d = 15 m from the lamppost? [Hint: Use similar triangles.]
Answers
Out of a total of N students at a school, the number of students who have seen a new television program increases at a rate proportional to the product of the number of students who have seen the program and the number of students who have not seen the program. If S denotes the number of students who have seen the program at time t, which of the following differential equations could be used to model this situation, where is a positive constant? A) ks - kt ( N1) -AS (N-S) D - KS (- N)
Answers
Based on the given information, we can create a differential equation to represent the situation. Let S denote the number of students who have seen the program at time t and let N be the total number of students.
The number of students who have not seen the program is (N - S). The rate of change of students who have seen the program is proportional to the product of these two quantities, and we represent this proportionality with a positive constant k.
The differential equation to model this situation would be:
dS/dt = kS(N - S)
This equation represents the rate of change of the number of students who have seen the program (dS/dt) as proportional to the product of the number of students who have seen the program (S) and the number of students who have not seen the program (N - S), with k being the positive constant of proportionality.
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the sum of the three segments is 136 cm. The first and second are respectively four times and three times the third. Calculate the size of the segments
Answers
Answer:
1st segment = 68 cm
2nd segment = 51 cm
3rd segment = 17 cm
Step-by-step explanation:
First, identify the expression for each segment. Let x = the length of the 3rd segment.
1st segment: 4x
2nd segment: 3x
3rd segment: x
Next, we need to solve for x so we can substitute it into each expression and solve for each segment length. To do so, we need to utilize the segment addition postulate.
⭐What is the segment addition postulate?
the sum of the partial segments make up the whole segmentMake the equation as per the segment addition postulate.
4x + 3x + x = 136
8x = 136 . . . . . . add like terms (terms with the same variable)
x = 17 . . . . . . . . divide both sides by 8 to isolate the x variable
Finally, substitute x into each segment expression to solve for their lengths.
1st segment: 4x
1st segment: 68 cm
2nd segment: 3x
2nd segment: 51 cm
3rd segment: x
3rd segment: 17 cm
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hi! please help in math!
i need the solution/explanation on how you got the answer
(y + 3) = -8(x - 4)
what is the slope?
Answers
Answer:
slope m = - 8
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y + 3 = - 8(x - 4) ← is in point- slope form
with slope m = - 8
The slope is :
↬ -8Solution:
Given: \(\bf{y+3=-8(x-4)}\)
To determine the slope, it's important to know the form of the equation first.
There are 3 forms that you should be familiar with.
The three forms of equations of a straight line are:
Slope Intercept (y = mx + b)Point slope (y-y₁) = m(x - x₁)Standard form (ax + by = c)This equation matches point slope perfectly.
The question becomes, how do you work with point slope to find slope?
Point slopeIn point slope, m is the slope and (x₁, y₁) is a point on the line.
Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.
Hence, the slope is -8.Solve this for 25 points needed really soon.
Solve -2 t + 5 ≥ -7.
Answers
Answer:
t < 6
Step-by-step explanation:
-2t > -12 divide by -2 to get
#2: Find the absolute value.
| -7|
Answers
Answer:
7
Step-by-step explanation:
-7 is 7 units away from 0 so the absolute value would be 7
Answer:
7REMEMBER =
The absolute value is the positive of ANY NUMBER!
EXAMPLE =
| 6 | = 6
| -1,000,000 | = 1,000,000
| -7 | = 7
Hope this helps! <3
In which of the relations represented by the tables below is the output a function of the input?
Select all correct answers.
Select all that apply:
Answers
Answer:
1, 3 and 5 are Functions
Step-by-step explanation:
Tables 2 and 4 have different outputs for the same input and therefor are not functions
The tables where the output is a function of the input are:
First table, third table, and fifth table.
Which of the tables represents a function?
A function is a relation that maps elements from a set (inputs) into another set (output). Such that each input can be only mapped into a single output.
For example, if you look at table 2, you can see that input 4 is mapped into two different outputs, then this is not a function.
Similar for table 4, input 3 is being mapped into two different outputs.
Then these two tables do not represent functions.
Then the tables where the output is a function of the input are:
First table, third table, and fifth table.
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In order to join an online learning community, there is a 20$ start up fee and a $5 monthly fee. Write an equation in slope intercept that models this situation
Answers
Answer:
y=5x+20
Step-by-step explanation:
The slope equation is usually in the form
y= mx+b
Where "y" is intercept
m= slope
b= constant= 20$ start up fee
Then writing the equation of slope for the question we have y=5x+20 which represent the slope equation.
What is the slope of the graph?
Answers
Answer:
-3
Step-by-step explanation:
It's a negative slope and you do 3/1= 3 as it is negative the slope is -3
Hope this helped :)
First peron to answer i will mark brainlest
The North Point High School cheerleading squad
needs $1250 in order to travel to the national
competition. They decide to hold a 3–day car
wash to raise the money.
Part A:
On Friday, the team raised $395.83. On Saturday,
the team raised $511.59. After these 2 days, how
much money had the team raised so far?
$__________
Part B:
After the car wash ended on Sunday, the team
discovered that they had raised a total of
$1294.77. Using the information you found in
Part A, how much did they earn on Sunday?
Answers
Answer:
$907.42$387.35Step-by-step explanation:
Part AFriday - $395.83Saturday - $511.59Total of 2 days
395.83 + 511.59 = $907.42Part BTotal of 3 days - $1294.77
Sunday
1294.77 - 907.42 = $387.35what is the solution of this equation? 6x-10=4x+5
Answers
Answer: x=
7.5
Step-by-step explanation:
Answer:7.5
Step-by-step explanation:
move all unknowns to one side by either adding or subtracting from both sides
so, subtract 4x from both sides and you get 2x-10=5
now mode -10 to the other side by adding 10 to both sides. you get 2x=15
divide both sides by 2 to get x by itself
you get x=7.5
Last month the cost of using the air pump at a garage was 20p.
This month the cost of using the air pump is 50p.
Tom says,
"50 = 20 = 2. 5 so the cost of using the air pump has increased by 250%"
(a) Is Tom correct?
Explain your answer.
Answers
Answer:
Tom is incorrect
The cost of using the air pump has increased by 150%
Step-by-step explanation:
Tom is incorrect
percent change = [ (difference between initial and final value) ÷ initial value] × 100
⇒ [ (50 - 20) ÷ 20) × 100 = 150%
Therefore, the cost of using the air pump has increased by 150%
An airplane’s average speed from San Diego to Dallas can be calculated using the function where t is the number of hours of travel. When there are tailwinds, the increased speed can be calculated using the function
w(s) = fs, where f is the percent increase as a decimal. On a given day, the tailwinds caused the average speed to increase by 2.5%, or w(s) = 1.025s.
Which function can be used to find the increased speed depending on the number of hours traveled?
Answers
Answer:
\(w(s(t)) = \frac{1.392975}{t}\)
Step-by-step explanation:
Given
\(s(t) = \frac{1.359}{t}\) --- San Diego to Dallas
\(w(s) = 1.025s\) ---- Increment in average speed
Required
A function that represents the increased speed from hours
This implies that, we calculate the composite function
\(w(s(t))\)
We have:
\(w(s) = 1.025s\)
This gives:
\(w(s(t)) = 1.025s(t)\)
Substitute: \(s(t) = \frac{1.359}{t}\)
\(w(s(t)) = 1.025 * \frac{1.359}{t}\)
Rewrite as:
\(w(s(t)) = \frac{1.025 * 1.359}{t}\)
\(w(s(t)) = \frac{1.392975}{t}\)
Answer:
c
Step-by-step explanation:
y<-3x+3
y
a. (1,-5)
b.(1,5)
c.(5,1)
d.(-1,5)
Answers
Answer: a
Step-by-step explanation:
substitute the coordinate values for x and y
y<3x+3, (1,-5)
-5<3(1)+3
-5<3+3
-5<6
the coordinate (1,-5) works, so a is the answer
Guess the value of the limit (if it exists) by evaluating the function at the given numbers (correct to six decimal places). x2 – 2x lim t+2 x2 – X – 2' t=2.5, 2.1, 2.05, 2.01, 2.005, 2.001, 1.9, 1.95, 1.99, 1.995, 1.999 =
Answers
Answer:To evaluate the limit of the function (x^2 - 2x) / (x^2 - x - 2) as x approaches 2, we can substitute the given numbers into the function and observe the values.
For the given values: t = 2.5, 2.1, 2.05, 2.01, 2.005, 2.001, 1.9, 1.95, 1.99, 1.995, 1.999
We can calculate the corresponding values of the function:
t = 2.5: (2.5^2 - 2 * 2.5) / (2.5^2 - 2.5 - 2) = (-1.25) / (-0.75) = 1.666667
t = 2.1: (2.1^2 - 2 * 2.1) / (2.1^2 - 2.1 - 2) = (-0.29) / (-0.59) = 0.491525
t = 2.05: (2.05^2 - 2 * 2.05) / (2.05^2 - 2.05 - 2) = (-0.1525) / (-0.1525) = 1
t = 2.01: (2.01^2 - 2 * 2.01) / (2.01^2 - 2.01 - 2) = (-0.0399) / (-0.0399) = 1
t = 2.005: (2.005^2 - 2 * 2.005) / (2.005^2 - 2.005 - 2) = (-0.019975) / (-0.019975) = 1
t = 2.001: (2.001^2 - 2 * 2.001) / (2.001^2 - 2.001 - 2) = (-0.007995) / (-0.007995) = 1
t = 1.9: (1.9^2 - 2 * 1.9) / (1.9^2 - 1.9 - 2) = (0.81) / (0.09) = 9
t = 1.95: (1.95^2 - 2 * 1.95) / (1.95^2 - 1.95 - 2) = (0.4725) / (0.0475) = 9.947368
t = 1.99: (1.99^2 - 2 * 1.99) / (1.99^2 - 1.99 - 2) = (0.0399) / (0.0099) = 4.040404
t = 1.995: (1.995^2 - 2 * 1.995) / (1.995^2 - 1.995 - 2) = (0.019975) / (0.004975) = 4.012048
t = 1.999: (1.999^2 - 2 * 1.999) / (1.999^2 - 1.999 - 2) = (0.007995) / (0.001995) = 4.012531
As we can see from the calculated values, as t approaches 2, the values of the function
Which number line and expression show how to find the distance from -4 to
1?
O A.
B.
C.
O D.
5
4
3
-2
|-4-1|
4
4-(-1)
4-1
-1 0
|-4-(-1)
1
2 3 4
23
Answers
The distance from -4 to 1 is 5 units.
The correct number line and expression to find the distance from -4 to 1 are:
Number line: -4 -3 -2 -1 0 1
Expression: |-4 - 1|
To find the distance, we subtract the smaller number (-4) from the larger number (1) and take the absolute value:
|-4 - 1| = |-5| = 5
Therefore, the distance from -4 to 1 is 5 units.
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Vibrations of harmonic motion can be represented in a vectorial form. Analyze the values of displacement, velocity, and acceleration if the amplitude, A=2+T, angular velocity, ω=4+U rad/s and time, t=1 s. The values of T and U depend on the respective 5th and 6th digits of your matric number. For example, if your matric number is AD201414, it gives the value of T=1 and U=4.
Answers
The values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.
We know that the amplitude, A = 2 + T; the angular velocity, ω = 4 + U rad/s; and time, t = 1s. Here, the value of T = 1 and the value of U = 4 (as mentioned in the question).
Harmonic motion is a motion that repeats itself after a certain period of time.
Harmonic motion is caused by the restoring force that is proportional to the displacement from equilibrium.
The three types of harmonic motions are as follows: Free harmonic motion: When an object is set to oscillate, and there is no external force acting on it, the motion is known as free harmonic motion.
Damped harmonic motion: When an external force is acting on a system, and that force opposes the system's motion, it is called damped harmonic motion.
Forced harmonic motion: When an external periodic force is applied to a system, it is known as forced harmonic motion.Vectorial formVibrations of harmonic motion can be represented in a vectorial form.
A simple harmonic motion is a projection of uniform circular motion in a straight line.
The displacement, velocity, and acceleration of a particle in simple harmonic motion are all vector quantities, and their magnitudes and directions can be determined using a coordinate system.
Let's now calculate the values of displacement, velocity, and acceleration.
Displacement, s = A sin (ωt)
Here, A = 2 + 1 = 3 (since T = 1)and, ω = 4 + 4 = 8 (since U = 4)
So, s = 3 sin (8 x 1) = 2.68 m (approx)
Velocity, v = Aω cos(ωt)
Here, v = 3 x 8 cos (8 x 1) = 2.24 m/s (approx)
Acceleration, a = -Aω2 sin(ωt)
Here, a = -3 x 82 sin(8 x 1) = -18.07 m/s2 (approx)
Thus, the values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.
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One of the legs of a right triangle is 3 inches and the hypotenuse is 9 inches. What is the length of the other leg?
Answers
use the pythagorean theorem
9^2=3^2+x^2
81=9+x^2
72=x^2
√72 = 6√2 or 8.48528
Which of these is the algebraic expression for the verbal expression "twelve times the difference of a number and four?"
Answers
Answer:
12* y-4
Step-by-step explanation:
The first is twelve. then the asterisk is next. y is for the "number" Lastly, subtract 4.
Find the value of h(-67) for the function below.
h(x) = -49x − 125
A.
-3,408
B.
3,158
C.
3,283
D.
-1.18
Answers
Answer:
B. 3,158
Step-by-step explanation:
h(x) = -49x − 125
Let x = -67
h(-67) = -49(-67) − 125
=3283-125
= 3158
Answer:
Answer B
Step-by-step explanation:
To find the value of h(-67) for the function h(x) = -49x - 125,
we substitute -67 for x in the function and evaluate it.
h ( - 67 ) = - 49 ( - 67 ) - 125
Now we can simplify the expression:
h ( -67 ) = 3283 - 125
h ( -67 ) = 3158
I NEED HELP ASAP
BRAINIEST WILL GET 10 POINTS!!!
PLEASE ITS DUE IN MINUTS
Answers
Answer:
1) 4 pounds / $5.48 = .73 pounds / dollar
2) 5 pounds / $4.85 = 1.03 pounds / dollar
3) $3.51 / 3 pounds = $1.17 / pound
4) $9.12 / 6 pounds = $1.52 / pound
Find the area of hexagon DEFGHI.
Answers
Step-by-step explanation:
Break it up into two trapezoids as shown
area = trap1 + trap2
= 2 * (7+3) / 2 + 3 * ( 7 + 3) / 2 = 10 + 15 = 25 units^2
What is the point slope form of the line with slope that passes through the point (-4, - 7)?
y+4= (x + 7)
y-4= }(x-7)
y-7= (x - 4)
y+7= (x+4)
Answers
HELP ASSAPPP DUE IN 30 MINN!!( i will crown u)
Mallory extends the frozen yogurt graph below so that it passes through the point (8, q). What is the value of q? Write your answer as a number, i.e., 15. DO NOT WRITE ANY WORDS, JUST THE NUMBER.
Answers
Answer: The value of q is 7.5.
Answer:
7.5
Step-by-step explanation:
Brainliest?
Nachelle can text 63 words in 6 minutes. At this rate, how many minutes would it take her to text 147 words? pls help this will save my grade
Answers
Answer:
14 minutes
Step-by-step explanation:
We take
63 / 6 = 10.5 words per minute
So, Nachelle can text 10.5 words per minute.
At this rate, how many minutes would it take her to text 147 words?
We take
147 / 10.5 = 14 minutes
So, at this rate, it would take her 14 minutes to text 147 words.