Answers
Answer:
27°Step-by-step explanation:
The angle at the intersection of lines q and r is 90° as they are perpendicular
117° is the exterior angle of the triangle
Exterior angle is:
117° = 90° + x as per its propertySolving the equation we get:
x = 117° - 90°x = 27°Answer: 27
Step-by-step explanation: the angle of the chart x=27
Related Questions
Finding a Segment Length
What is the value of x and the length of segment DE?
E
F
15
9
9
2x + 3
2 10x + 15 = 9(9)
9
2x+3
X
Length of DE =
D
units
5
С
Answers
Answer:
x = 6.6
length of DE = 16.2
Step-by-step explanation:
edge 2020
MY NOTES Two stoves are located 45 feet apart, one giving out]] 4 times as much heat as the other. If you stand at a point on the line between the stoves at a distance x from the less powerful stove, the temperature of the air is given by H(x)=100 + 60 x2 + 240 (45−x)2 . Assume you move back an forth between the two stoves, always at least 4 ft from either stove.
Answers
Missing Part of the question:
a) Assume you wish to determine the maximum and minimum temperatures you would experience. the domain to study for the function H(x) would be?
b)The is one critical number for the function on the domain in part a and it is?
c) The maximum temperature you would experience is ?
d) The minimum temperature you would experience is ?
Answer:
a. Domain : [tex]4 \leq x \leq 41[/tex]
b. Critical point: [tex]x = 12.33[/tex]
c. The maximum is 115.09
d. The minimum is 100.62
Step-by-step explanation:
Given
[tex]H(x) = 100 + \frac{60}{x^2} + \frac{240}{(45 - x)^2}[/tex]
Solving (a): The domain of H(x)
From the question, we understand that the distance between the two stores is 45ft
Let the first stove be at point A (0 ft) and
the second stove be at point B (45ft)
Since you move back and forth within 4ft from either stoves, then
Your maximum distance at A is (0 + 4) ft = 4ft
Your minimum distance at B is (45 - 4) ft = 41ft
Hence, the domain is: [tex]4 \leq x \leq 41[/tex]
Solving (b): Critical Value
First, we have to differentiate H(x) w.r.t x
[tex]H(x) = 100 + \frac{60}{x^2} + \frac{240}{(45 - x)^2}[/tex]
Differentiate
[tex]H'(x) = 0 -\frac{120}{x^3} + \frac{480}{(45- x)^3}[/tex]
[tex]H'(x) = -\frac{120}{x^3} + \frac{480}{(45- x)^3}[/tex]
Equate H'(x) to 0
[tex]0 = -\frac{120}{x^3} + \frac{480}{(45- x)^3}[/tex]
Rewrite as:
[tex]\frac{120}{x^3} = \frac{480}{(45- x)^3}[/tex]
Cross Multiply
[tex]480 * x^3 = 120 * (45 -x)^3[/tex]
[tex]480 * x^3 = 120 * (45 -x)*(45 -x) * (45 -x)[/tex]
[tex]480 * x^3 = 120 * (2025 -90x +x^2) * (45 -x)[/tex]
[tex]480 * x^3 = 120 * (91125 -4050x +45x^2 -2025x - 90x^2 - x^3)[/tex]
[tex]480 * x^3 = 120 * (91125 -4050x -2025x+45x^2 - 90x^2 - x^3)[/tex]
[tex]480 * x^3 = 120 * (91125 -6075x-45x^2 - x^3)[/tex]
Divide both sides by 120
[tex]4x^3 =91125 -6075x-45x^2 - x^3[/tex]
[tex]4x^3 +x^3-91125 +6075x+45x^2= 0[/tex]
[tex]5x^3-91125 +6075x+45x^2= 0[/tex]
[tex]5x^3+45x^2 +6075x-91125= 0[/tex]
Divide through by 5
[tex]x^3+9x^2 +1215x-18225= 0[/tex]
Solving for x, we have that
[tex]x\approx \:12.33067[/tex]
[tex]x = 12.33[/tex]
Hence, the critical point is 12.33
Solving (x): Maximum temperature
Here, we simply substitute the endpoints of the domain in [tex]H(x) = 100 + \frac{60}{x^2} + \frac{240}{(45 - x)^2}[/tex]
Let x = 4
[tex]H(4) = 100 + \frac{60}{4^2} + \frac{240}{(45 - 4)^2}[/tex]
[tex]H(4) = 100 + \frac{60}{16} + \frac{240}{(41)^2}[/tex]
[tex]H(4) = 100 + \frac{60}{16} + \frac{240}{1681}[/tex]
[tex]H(4) = 100 + 3.75+ 0.14277215942[/tex]
[tex]H(4) = 103.892772159[/tex]
[tex]H(4) = 103.89[/tex] --- approximated
Let x = 41
[tex]H(41) = 100 + \frac{60}{41^2} + \frac{240}{(45 - 41)^2}[/tex]
[tex]H(41) = 100 + \frac{60}{41^2} + \frac{240}{4^2}[/tex]
[tex]H(41) = 100 + \frac{60}{1681} + \frac{240}{16}[/tex]
[tex]H(41) = 100 + 0.03569303985 + 15[/tex]
[tex]H(41) = 115.03569304[/tex]
[tex]H(41) = 115.04[/tex] ---- approximated
Compare both values: The maximum is 115.09
Solving (d): The minimum temperature
In (b), we have that:
[tex]x = 12.33[/tex] --- critical point
The minimum occurs at this point
Substitute 12.33 for x in [tex]H(x) = 100 + \frac{60}{x^2} + \frac{240}{(45 - x)^2}[/tex]
[tex]H(12.33) = 100 + \frac{60}{12.33^2} + \frac{240}{(45 - 12.33)^2}[/tex]
[tex]H(12.33) = 100 + \frac{60}{12.33^2} + \frac{240}{32.67^2}[/tex]
[tex]H(12.33) = 100 + \frac{60}{152.0289} + \frac{240}{1067.3289}[/tex]
[tex]H(12.33) = 100 + 0.39466180443 + 0.22486039682[/tex]
[tex]H(12.33) = 100.619522201[/tex]
[tex]H(12.33) = 100.62[/tex] --- approximated
Hence, the minimum is 100.62
The table shows the hourly wages (in dollars) of employees after they have worked at a company for x years. Use the linear regression feature
on a graphing calculator to find an equation of the line of best fit for the data. Round each value in your equation to the nearest hundredth.
Then use your equation to estimate the hourly wage of an employee who has worked at the company for 12 years.
Years, x Hourly wage (dollars per hour), y
1
$8.75
5
$10.50
3
$9.25
7
$11.25
The line of best fit is y =
The aproxímate hourly wage of a person who has worked at the company for 12 years is $___ per hour
Answers
Answer:
y= 0.5x + 8.2
$13.6 per hour
Step-by-step explanation:
(Is it weird that I had the same exact question? Maybe not. But I also found another person with the same question as me. It was a different question though. This is probably too late. But I'm just gonna try to answer it for anyone who needs it.
"Linear regression" is just a fancy word for scatter plots. Scatter plots take place in graphs. The dots or plots are scattered and the way they are scattered means something. If it's going down, it's negative, up it's positive, and if it's scattered, it has no corrolation.
Also, you should have learned this in 9th grade. So, check your notes.
If you don't have it, WRITE IT!!!
To find it in your calculator:
1. Go to "Lists and Spreadsheets"
2. Rename the first column "x" and the second on "y"
3. Write all of your numbers in the right column
1, 5, 3, 7 under the "x"
8.67, 10.50, 9.58, 11.41 under the "y"
4. Move your cursor to an empty cell
4. Click: "MENU" #4 #1 #3
5. Rename the correct rows "x" and "y" and press enter
6. Now you can find "m" and "b"
7. Then move your cursor to an empty cell and click "doc" "insert" #7
8. Find the x-axis and find "x"
9. Find the y-axis and find "y"
10. Now press "MENU" #4 #6 #1
And you found your y=mx+b: y=0.5x+8.2
Now, how much money per hour.
So you've found your m and b but now you have to:
1. Replace y with 15 and solve it
15=0.5x+8.2
-8.2 -8.2
6.8=0.5x
Divide 0.5 on both sides
6.8/0.5=13.6
13.6=x
$13.6 per hour
sharon pays $78 sales tax on a new camera. If the sales tax rate is 6.5% what was the cost of the camera
Answers
Answer:
83.07
Step-by-step explanation:
If you multiple the original price $78 times the sale tax in decimal form 0.065 you get 5.07, $78 + $5.07 = 83.07.
The quality-control manager of a large factory is concerned about the number of defective items produced by workers. Thirty workers at the factory agree to participate in a study of three different incentive plans to help reduce the number of defective items produced. The plans will be randomly assigned to the workers so that 10 workers received each plan. The reduction in the number of defective items produced by each worker will be recorded two weeks after the plans are implemented.
Answers
Answer:
There is no blocking variable, and incentive plans will be randomly assigned to the workers.
Step-by-step explanation:
The options are missing and they are;
A ) There is no blocking variable, and incentive plans will be randomly assigned to the workers.
B ) There is no blocking variable, and the workers were selected at random.
C) Each incentive plan is a block, and a completely randomized design is not blocked.
D ) Each plan will be randomly assigned to 10 pairs of workers who share a similar characteristic.
E ) The number of workers participating in the study was greater than or equal to 30.
The option that best describes why a completely randomized design is an appropriate design to use in this situation is;
Option A; There is no blocking variable, and incentive plans will be randomly assigned to the workers.
A blocking variable is a variable used by an experimenter or a researcher to block out nuisance variables and test the treatments that are of utmost importance to him.A blocking variable is a continuous variable like weight, age e.t.c. From the question, the treatments, that are the incentive plans, are being randomly assigned to the 30 workers without consideration of specific treatments via blocking variable and as such a completely randomized design would solve that problem.Thus, we can conclude that the reason why a completely randomized design is important to use in this case is because there is no blocking variable and as such the treatments are randomly assigned to the workers.
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math need help asap 20 points
Answers
Step-by-step explanation:
Step 1: List out all of the formulas for the trigonometric functions
sin(x) = opposite/hypotenuse
cos(x) = adjacent/hypotenuse
tan(x) = opposite/adjacent
Step 2: Find the values for the given numbers
sin(J) = opposite/hypotenuse = 24/25
tan(J) = opposite/adjacent = 24/7
sin(K) = opposite/hypotenuse = 7/25
tan(K) = opposite/adjacent = 7/24
Step 3: Check if the answers match
24/25 = 24/25 So it is TRUE
24/7 != 7/25 So it is FALSE
7/25 != 24/25 So it is FALSE
7/24 = 7/24 So it is TRUE
Answer: TRUE, FALSE, FALSE, TRUE
If A(-2 , 10) and B(4 , -2), then AB=?
Answers
Answer:
AB(6;-12)
Step-by-step explanation:
The length of AB is 10 units.
What is a line segment ?A line segment is a subset of a line which has two end points.Distance of a given line segment with two endpoints and a pair of co-ordinates can be obtained by [tex]\sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex] this formula know as distance formula.
According to the given question co-ordinate of two points are given and we have to find the distance.
We know that distance between two points is given by
[tex]\sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
Here A = (x₁,y₁) = (-2,10) and B = (x₂,y₂) = (4,-2).
∴ AB = [tex]\sqrt {\left( {-2 - 4 } \right)^2 + \left( {10 -2 } \right)^2 }[/tex].
AB = [tex]\sqrt {\left( {-6} \right)^2 + \left( {8 } \right)^2 }[/tex]
AB = [tex]\sqrt {\left( {36} \right) + \left( {64} \right) }[/tex]
AB = [tex]\sqrt {100}[/tex]
AB = 10 units.
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Write the opposite of each number 47 -33 243 -907 88
Answers
Answer:
-47 33 -243 907 -88
Step-by-step explanation:
Samuel has a board that is 44 inches long. He wants to cut it into two pieces so that one piece is 6 inches longer than the other. Which of the equations below could be used to find the length of the shorter piece, s?
Check ALL that apply.
2s = 50
s + s + 6 = 44
s + s = 44 + 6
2s = 38
2s + 6 = 44
s + 6 = 44
Answers
Answer:
s + s + 6 = 44
2s = 38
2s + 6 = 44
Step-by-step explanation:
Given parameters:
Length of the board = 44inches
Unknown:
equation to find the shorter piece s = ?
Solution:
let the longer piece = L
Shorter piece = s
s + L = 44 ---- i
Now,
L = s + 6 ----- ii
put L = s + 6 into i;
s + s + 6 = 44
2s + 6 = 44
2s = 44 - 6
2s = 38
given p ll r and m angle 8=119, find m angle 11
Answers
What is the measure of AC?
Answers
is 1087.5 larger than 2,175
Answers
Answer:
Yes - I MEAN NO
Step-by-step explanation:
bigger 1st number - 2ND NUMBER BIGKER
Answer:
No, because 2175 is larger than 1087.5
Step-by-step explanation:
Mary found a dining table on sale for 45% off. If the original price was $1,650, how much did she save?
Answers
At the store, a frozen turkey costs $0.99
per pound and a fresh turkey costs $1.69
per pound.
How much more does a 15-pound fresh
turkey cost?
Answers
Answer:frozen turkey is $11.00 fresh is $20.28 cents
Step-by-step explanation:
so $8.40 cents
Two vehicles, a car and a truck, leave an intersection at the same time. The car heads east at an average speed of 30 miles per hour, while the truck heads south at
an average speed of 70 miles per hour. Find an expression for their distance apart d (in miles) at the end of thours.
At the end of t hours, the two vehicles are miles apart.
(Simplify your answer. Type an exact answer, using radicals as needed.)
Answers
70t -30t = d, but I think that would be how much farther they are from the start point, but assuming they are driving in a straight line or would be a right triangle, so maybe The square root of 70t^2 + 30t^2
slove by square roots :2x^2+11=131
Answers
Step-by-step explanation:
2x²+11=131
2x²=131-11
2x²=102
x²=102
2
x²=51
x=√51
Francis deposits $11,000 in an IRA. What will be the value of his investment in 9 years if the investment is earning 4.1% per year and is compounded continuously?
Answers
Answer:
$15,059
Step-by-step explanation:
4.1 x 9 = 36.9
36.9% of 11,000 = 4059
11,000 + 4,059 = 15,059
The value of the investement after 9 years ompounded continuously is .$15792.44
Compound interestCompound interest is the interest on an amount of money invested
The formula for calculating compound interest is expressed as:
A =P(1+r)^n
Given
P = 11000
r = 4.1% = 0.041
n = 1
t =9 years
Substitute
A = 11000(1+0.041)^9
A = 11000(1.041)^9
A= .$15792.44
Hence the value of the investement after 9 years ompounded continuously is .$15792.44
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PLEASE HELP ME IM GIVEING POINTS AWAY BEING TOO LAZY TOO SOLVE MY CLASS WORK LOL
Answers
Answer:
17/24
Step-by-step explanation:
Apply the AB rule, Adjust the fractions based on LCM, then you want to apply the a/b fraction rule which would allow you to do -15+23/24 which gives you 17/24. Hope this helps!
Answer:
1/5
Step-by-step explanation:
I JUST DID THE MATH
Write the number three hundred forty two thousand six hundred eight in number form
Answers
Answer:
342:608
Step-by-step explanation:
from the start and end up to the last
3 1/4 divided by 3 1/2 in simplest form.
Answers
Answer:
3/14
Step-by-step explanation:
First off, we will turn the fractions into a different form. 3 1/4 will be 13/4 and 3 1/2 will be 7/3
Then, you want to turn 7/3 into 3/7 and multiply them
1/2 x 3/7 = 3/14
Daniel fish tank holds 24 L of water he uses a 4 L bucket to fill the tank how many buckets of water are needed to fill the tank
Answers
Answer:
6 buckets have to be filled, put in tank and refilled.
Step-by-step explanation:
Volume = 24 L
Volume Container = 4 L
Number of buckets = Fish Tank Volume / volume of container
Number of buckets = 24 / 4
Number of bucket refills = 6
The average of Johnny's two test grades is a 92 what must he get on his 3rd test to raise his average to a 94?
Answers
Answer:
Johnny needs to score 98 on third test to raise average to 94
Step-by-step explanation:
Given that average of two tests is 92.
The score of next test has to be found that means there will be a total of 3 tests.
The average will be:
[tex]Avg = \frac{test1+test2+test3}{3}[/tex]
It is also given that he has to raise his average to 98
We have to use the average formula for finding the third value
So,
[tex]94 = \frac{92+92+test3}{3}\\94*3 = 184+test3\\282 = 184+test3\\test3 = 282-184\\test3 = 98[/tex]
Hence,
Johnny needs to score 98 on third test to raise average to 94
Answer:
Johnny would need to get a 98
Step-by-step explanation:
You would need to use the average formula and see what it would be eual to.
You want to have enough desserts for each of your 10 guests to have two servings. You decide each guest will want a serving of one of the pies and their second dessert will be either brownies or cake. How could you estimate what quantities to buy? (Hint: this requires critical thinking more than math). Be sure to fully explain your answer.
Answers
Answer:
Did u ever find the answer
Step-by-step explanation:
and if u didn't just tell me
PLS I NEED YOUR HELP!!!!!!!
Answers
Answer:
[tex] R_2 = \dfrac{R_1R_T}{R_1 - R_T} [/tex]
Step-by-step explanation:
[tex] R_T = \dfrac{R_1R_2}{R_1 + R_2} [/tex]
[tex] (R_1 + R_2)R_T = R_1R_2 [/tex]
[tex] R_1R_T + R_2R_T = R_1R_2 [/tex]
[tex] R_2R_T - R_1R_2 = -R_1R_T [/tex]
[tex] R_2(R_T - R_1) = -R_1R_T [/tex]
[tex] R_2 = \dfrac{-R_1R_T}{R_T - R_1} [/tex]
[tex] R_2 = \dfrac{R_1R_T}{R_1 - R_T} [/tex]
Solve for x. Your answer must be simplified. x/25>5
Answers
Answer:
x > 125
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define inequality
x/25 > 5
Step 2: Solve for x
Multiply 25 on both sides: x > 125Here we see that any number x greater than 125 would work as a solution.
m − 56/–7 = –6
solve for m
Answers
Hey guys! Brainliest if you provide a valid answer and explanation!
Q: It costs $3.45 to buy 3/4 lb of chopped walnuts. How much would it cost to purchase 7.5 lbs of walnuts?
*I'll be posting a question later with 50 points, so look out for that!*
Answers
Answer:
$34.5
Step-by-step explanation:
$3.45 for 3/4
-Divide by 3-
$1.15 for 1/4
-Multiply by 4-
$4.6 for 4/4 OR 1
-Multiply by 7.5-
$34.5 for 7.5
What is the perimeter of the rectangle?
Answers
Answer:
28
Step-by-step explanation:
If the area is 48. 48 divided by 6 is 8 right? Okay then, two sides of the rectangle is going to be 8 and 2 sides of the rectangle is going to be 6.
So, take 8+8 and 6+6 which equal 28.
remember, to find the perimeter you add.
which concludes the answer to be 28.
Answer:
28 units
Step-by-step explanation:
So to find the perimeter, you need to find the other length of the triangle. To find that, let's look at the area that was given. We know that area = L x W. So we have the width and when we divide it by the area we can find the missing length which should be: 48/6=8
So with both the length of 8 and the width of 6, we can find the perimeter is equal to:
Perimeter= 8 + 8 + 6 + 6
Perimeter=28
A particle moves on the hyperbola xy=15 for time t≥0 seconds. At a certain instant, x=3 and dx/dt=6. Which of the following is true about y at this instant?
Answers
Answer:
[tex]y[/tex] is decreasing by 10 units per second.
Step-by-step explanation:
Given information:
The particle moves on the hyperbola [tex]xy=15[/tex]
Time [tex]t\geq 0[/tex]
Now at a certain instant , [tex]x=3[/tex] and [tex]\frac{dx}{dt} = 6[/tex]
Now, Differentiating [tex]xy=15[/tex] with respect to [tex]t[/tex]
We get:
[tex]x.\frac{dy}{dt} +y.\frac{dx}{dt} =0[/tex]
Now substitute the values in above equation:
[tex]3\frac{dy}{dt}+ 5 \times 6=0[/tex]
[tex]3 \frac{dy}{dt}=-30\\\frac{dy}{dt} =-10[/tex]
The negative sign indicates that [tex]y[/tex] is decreasing by 10 units per second.
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The particle follows hyperbolic path. The value of [tex]y[/tex] is decreasing at the rate of [tex]10[/tex] units per seconds.
Given: A particle moves on the hyperbola [tex]xy=15[/tex] for time [tex]t\geq0[/tex] seconds. At a certain instant, [tex]x=3[/tex] and [tex]dx/dt=6[/tex].
According to question,
hyperbola curve is [tex]xy=15[/tex].
Differentiating the curve w.r.t [tex]t[/tex] we get:
[tex]x\cdot \frac{dy}{dt}+y\cdot\frac{dx}{dt}=0[/tex]
Now substituting the values are [tex]x=3[/tex] and [tex]dx/dt=6[/tex].
[tex]3\cdot \frac{dy}{dt}+5\times6=0[/tex]
[tex]\frac{dy}{dt}=\frac{-30}{3}\\\frac{dy}{dt}=-10[/tex]
Therefore, [tex]y[/tex] is decreasing [tex]10[/tex] units per seconds.
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I need help this is confusing
Answers
Answer:
l: y = 4
m: y = -2x + 4
n: y = x - 1
p: x = -4
Step-by-step explanation:
y = mx + b
Slope = m
Y-intercept = b
