The length of segment WK is given as follows:
B. [tex]2\sqrt{5}[/tex]
How to calculate the distance between two points?Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The endpoints of the segment in this problem are given as follows:
K(-2,0) and W(-6,-2).
Hence the length of the segment is given as follows:
[tex]\sqrt{(2 - (-6))^2 + (0 - (-2))^2} = \sqrt{20} = \sqrt{4 \times 5} = 2\sqrt{5}[/tex]
Meaning that option B is the correct option in the context of this problem.
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A higher credit score reduces your fixed costs because you ____.
A. will pay lower interest rates
B. can have more credit cards
C. are able to carry more debt
D. can reduce the amount you need to borrow
A higher credit score reduces your fixed costs because you will pay lower interest rates. That is option A.
What is a higher credit score?A higher credit score is one of the factors that are being considered by banks or lenders before one is being viewed as being legible to borrow money.
This is soo because a higher credit score will reduce the lending interest rates of the individual because it shows such will pay back the borrowed money as soon as possible.
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Blank x 2 > 2
8 over 8 or 7 over 8 or 9 over 8
Answer:
dwdaddaw
Step-by-step explanation:
ad plus devide
Stefan wants to buy a toy car at the
store. The price is p dollars. He also
has to pay a 6% tax.
Write an expression to represent
how much Stefan will pay in total for
the toy car.
2.30 1.99 sales tax 8%
Answer:
$2.48 and $2.15, respectively
Step-by-step explanation:
2.30 * 1.08 = 2.48
1.99 * 1.08 = 2.15
The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.
Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?
a. bus
b. car
c. subway
d. train
A type of transportation is LEAST likely to take more than 30 minutes include the following: d. train.
How to interpret the box-and-whisker plots?In order to determine the type of transportation that is least likely to take more than 30 minutes for Conrad to get to an appointment at the other end, we would have to compare the median minute for each data set (type of transportation) that is represented on the box-and-whisker plot shown above.
By critically observing the box-and-whisker plot, we can reasonably infer and logically deduce that a train is the type of transportation that is least likely to take more than 30 minutes because its median minute is the lowest compare to the other data set (type of transportation) that is represented on the box-and-whisker plot shown above.
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please help with this
The solution of the function is as follows:
f(3) = 16
h(0) = -4
h(g(x)) = 3x + 5
g(y) = y + 3
f(x) - h(x) = x² - x + 5
How to solve function?A function relates input and output. In other words, a function is an expression that defines a relationship between one variable (the independent variable) and another variable(dependent variable).
Therefore, let's solve the function as follows:
f(x) = x² + 2x + 1
g(x) = x + 3
h(x) = 3x - 4
Therefore,
f(3) = (3)² + 2(3) + 1 = 9 + 6 + 1 = 16
h(0) = 3(0) - 4 = -4
h(g(x)) = 3(x + 3) - 4 = 3x + 9 - 4 = 3x + 5
g(y) = y + 3
f(x) - h(x) = x² + 2x + 1 - (3x - 4) = x² + 2x + 1 - 3x + 4 = x² - x + 5
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Please help me answer this urgently. I don’t understand and need a clear explanation.
The values of x and y are proportional. proportionality (k) and find the missing values. 2. UX x 6 15 9 y 42 200 d. X 14 y 21 6 15 3 7 8 Determine the constant of proportionality
Step-by-step explanation:
To determine the constant of proportionality (k) in a proportional relationship, we need to compare corresponding values of x and y and calculate the ratio between them.
Let's examine the given values:
2. UX: x 6 15 9 y 42 200
To find the constant of proportionality (k), we can take any pair of corresponding values and calculate their ratio. Let's choose the first pair: (6, 42).
k = y / x
k = 42 / 6
k = 7
So, the constant of proportionality (k) is 7.
Now, let's find the missing values for the second set of values:
d. X: 14 y: 21 6 15 3 7 8
Since we know the constant of proportionality is 7, we can calculate the missing values of y by multiplying each corresponding x value by 7.
Missing values for y:
- For x = 21, y = 21 * 7 = 147
- For x = 6, y = 6 * 7 = 42
- For x = 15, y = 15 * 7 = 105
- For x = 3, y = 3 * 7 = 21
- For x = 7, y = 7 * 7 = 49
- For x = 8, y = 8 * 7 = 56
Therefore, the missing values of y are: 147, 42, 105, 21, 49, and 56.
choose the greatest number you can mutiply by 30 you can get close to but not go over 150
Answer:
If it can be exactly 150, then 50.
there’s not exactly enough info for me to solve.
What is the slope of the line through (-2,-2)(-2,-2)left parenthesis, minus, -2, comma, -2, right parenthesis and (2,-4)(2,−4)left parenthesis, 2, comma, minus, 4, right parenthesis?
Step-by-step explanation:
To find the slope of the line between two points, you can use the formula:
slope (m) = (y2 - y1) / (x2 - x1)
Plugging in the given coordinates, we have:
m = (-4 - (-2)) / (2 - (-2))
m = (-4 + 2) / (2 + 2)
m = (-2) / (4)
m = -1/2
The slope of the line through the points (-2, -2) and (2, -4) is -1/2.
The cup on Sophie's desk holds 4 red pens and 7 black pens. What is the probability of her selecting first a black pen, and then a red one?
Answer:14/165
Step-by-step explanation:
its a fraction i did the same qestion and got it right
a train laves los angles at 2pm, heading north at 50mph. If the next train leaves 3 hours later and heads north at 60 mph, at what time will the second train catch up with the first?
Answer:
8 am
Step-by-step explanation:
First train has a 50 m/hr x 3 hr = 150 mile head start
Second train is going 60 - 50 = 10 m/hr faster and will close this 150 mile distance
in 15 hours to catch the first train
2pm + 3 hours + 15 hours = 8 am
maya received an 80 dollar gift card for a coffee store. She used it in buying some coffee that cost $8.79 per pound. after buying the coffee she had $44.84 left on her card. How many pounds of coffee did she buy
__________________________________
= 80 - 44.84= 35.16= 35.16 ÷ 8.79= 4 lbsMaya Bought 4 Pounds of Coffee__________________________________
What value of x satisfies the equation −1.5x−2.7=20.1+4.5x
To solve for x in the equation −1.5x−2.7=20.1+4.5x, we need to isolate x on one side of the equation. We can do this by adding 1.5x to both sides of the equation and adding 2.7 to both sides of the equation, which gives us:
-1.5x - 2.7 + 1.5x = 20.1 + 4.5x + 1.5x
Simplifying the left side of the equation and combining like terms on the right side of the equation gives us:
-2.7 = 6x + 20.1
Subtracting 20.1 from both sides of the equation gives us:
-22.8 = 6x
Dividing both sides of the equation by 6 gives us:
x = -3.8
Therefore, the value of x that satisfies the equation is -3.8.
If 10 +30 +90+...=2657200, what is the value of n?
The number of terms n of the geometric progression is n = 12
Given data ,
Let the geometric progression be represented as A
Now , the value of A is
10 + 30 + 90 + .... = 2657200
And , let the number of terms be n
common ratio r = 30 / 10 = 3
where sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
On simplifying , we get
2657200 = 10 ( 3ⁿ - 1 ) / ( 2 )
Divide by 5 on both sides , we get
3ⁿ - 1 = 5,31,440
Adding 1 on both sides , we get
3ⁿ = 5,31,441
Taking log on both sides , we get
n = 12
Hence , the number of terms of GP is n = 12
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For the line that passes through the points A(5, 8, -2) and B(-1, 3, 5), find:
a. a vector equation.
b. parametric equations.
c. Symmetric equations
The symmetric equations for the line are:
(36x + 40y - 28z - 100) / 0 = (x-5) / -6 = (y-8) / -5 = (z+2) / 7
To find the parametric equations for the line passing through A(5, 8, -2) and B(-1, 3, 5), we can use the vector equation:
r = A + t(B-A)
where r is the position vector of any point on the line, t is a scalar parameter, and A and B are the given points. Substituting the values, we get:
r = (5, 8, -2) + t((-1)-5, 3-8, 5-(-2))
r = (5, 8, -2) + t(-6, -5, 7)
The parametric equations for the line are:
x = 5 - 6t
y = 8 - 5t
z = -2 + 7t
To find the symmetric equations, we can use the fact that any point on the line is equidistant from points A and B. Thus, the distance from a point (x, y, z) to A must be the same as the distance from the same point to B. Using the distance formula, we get:
√[(x-5)² + (y-8)² + (z+2)²] = √[(x+1)² + (y-3)² + (z-5)²]
Squaring both sides and simplifying, we get:
36x + 40y - 28z - 100 = 0
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Which of the following is Playfair's axiom?
A. A straight line segment can be drawn between any two points.
B. A circle can be drawn with any center and radius.
C. Through a given point not on a given line, there is exactly one line
parallel to the given line.
D. All right angles are equal to one another.
Answer:
C. Through a given point not on a given line, there is exactly one line parallel to the given line.
Step-by-step explanation:
hope i helped
Answer:
Look down
Step-by-step explanation:
Thanks for reaching out for assistance! Based on the context you provided, it seems like the correct answer is C. Playfair's axiom states that there is exactly one line parallel to a given line that can be drawn through a point not on it. I hope this helps! Let me know if there's anything else I can do for you.
variable:
Hours (h)
10
20
30
40
Cost in dollars (c)
80
110
140
170
The table shows the relationship between hours spent dog sitting and the cost of the services. Write an equation to represent the situation using h and c as your variables.
The solution is it's hard to say which company would be cheaper to hire based on the information provided, but it's recommended to check the warranty, prices of parts, and reputation of both companies, and to get a second opinion or quote from both companies before making a decision.
Here,
we can see that the function C(x) = 25x + 75 represents the labor cost (in dollars) for Bob's Auto Repair to replace your alternator, where x is the number of hours. We can use this function to find the cost of replacing an alternator that is estimated to take 5 hours of labor.
C(5) = 25(5) + 75 = 125 + 75 = 200
We also have the labor cost for the main competitor, Budget Auto Repair, in a table format.
Hours Cost
1 $90
2 $130
3 $170
We can see that the cost of labor increases as the number of hours increases. From the information provided it's hard to say which company would be cheaper to hire, however the company with the function C(x) = 25x + 75 would be cheaper if the alternator takes more than 4 hours of labor, otherwise Budget Auto Repair would be cheaper.
It's important to check the warranty, prices of parts, and reputation of both companies. If a company has a good reputation and a good warranty, it may be worth paying a little more for labor.
It's also a good idea to get a second opinion or ask for a quote from both companies before making a decision.
In conclusion, it's hard to say which company would be cheaper to hire based on the information provided, but it's recommended to check the warranty, prices of parts, and reputation of both companies, and to get a second opinion or quote from both companies before making a decision.
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complete question:
19) The function C(x) = 25x+75 represents the labor cost (in dollars) for Bob's Auto Repair to replace
your alternator, where x is the number of hours. The table below shows sample labor costs from its main
competitor, Budget Auto Repair. The alternator is estimated to take 5 hours of labor. Which company
would you hire? Explain.
Hours 1,2,3
Cost
$90 $130 $170
PLEASE HELP ME QUICKLY.
Find the average rate of change between the two labeled points.
[The point in between is (3, 72.6).]
Answer: 2/13.86
Step-by-step explanation:
A lines rate of change is equal to it's slope
Slope is rise over run (Y/X)
The point is up 2 on the Y axis and over 13.86 on the X axis
The slope is= 2/13.86
Joe earns $25 mowing his neighbor’s lawn each week (w). He is saving his
money to buy a hoverboard that costs $168. Which inequality matches
this situation? (circle your answer)
a) $168-$25 < w b) $25w > $168 c) $25w < $168
"The correct option is (C) $25w < $168." This means that Joe needs to save for at least 7 weeks (since he can't save for a fraction of a week) to afford the hoverboard.
The hoverboard costs $168 and Joe earns $25 each week. To determine if Joe can afford the hoverboard, we need to determine how many weeks he needs to save to reach the cost of the hoverboard.
Let's represent the number of weeks Joe needs to save as "x". Each week, he earns $25, so the total amount he will have after "x" weeks is 25x. In order to buy the hoverboard, he needs to have saved $168. Thus, we can write the inequality:
25x ≥ 168
This inequality represents the fact that the amount of money Joe earns after "x" weeks must be greater than or equal to $168, the cost of the hoverboard, for him to be able to afford it. Simplifying this inequality, we get:
x ≥ 6.72.
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In 2017 32.2% of college students were minorities. If you took a random group of 500 college students in 2017, then how many of these 500 college students would you expect to be minorities?
The height of a tree in feet over x years is modeled by the function f(x). Determine if each statement is True or False.
The statement is examined using the equation to find that
1. False
2. False
3. True
4. False
How to find the statement is trueThe given equation is
f(x) = 32 / ( 1 + e⁰°⁵ˣ)
Evaluating the first statement by substituting
For x = 3, f(3 ) gives 5.84
For x = 6, f( 6) gives 1.52
5.82 - 1.52 is not equal to 9 ft hence the statement is False
Evaluating the second statement by substituting
when x = 0, the function gives 16 which is against 2 ft hence False
Evaluating the third statement by substituting
For x = 1, f(1) = 12.08 this is less than 16 ft hence a decline hence this is True
fourth statement
The trees maximum height, captured should be 16 ft not 35 ft hence False
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3.
Carly deposits money into a compound interest account in 2010. The equation P = 600(1.0375)
represents the amount of money in her account, P, after t years.
Determine how much money Carly has in her account in 2047. What was the growth rate?
How long does it take for Carly's account to reach $750? Round answer to the nearest tenth.
The compound interest is solved and the amount in her account in 2047 is given by A = $ 1315.46
Given data ,
To determine how much money Carly has in her account after 37 years, we need to substitute the value of t as 37 into the equation:
P = 600(1.0375)^t
P = 600(1.0375)^37
P ≈ 600(1.0375)^37 ≈ 600(2.19243) ≈ $ 1315.46
Therefore , Carly has approximately $1315.46 in her account after 37 years.
To calculate the growth rate, we need to find the rate of change between the initial and final amounts over the given time period.
Regarding how long it takes for Carly's account to reach $750, we'll assume you mean when the account reaches or exceeds $750. Let's set up the equation and solve for t:
750 = 600(1.0375)^t
Dividing both sides by 600, we get:
1.25 = 1.0375^t
Taking the logarithm of both sides (base 1.0375):
log(1.25) = t * log(1.0375)
t ≈ log(1.25) / log(1.0375) ≈ 8.5 years
Hence , it takes approximately 8.5 years for Carly's account to reach or exceed $750
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30 POINTS! Find the values of x and y
Given that this is an isosceles triangle, then the lengths of the sides opposite the two 45º angles have to be the same length.
For this reason, x = 8.
And since x = 8 and there's only one answer with x=8, the first option must be the answer.
You can calculate the value of y using the Pythagorean Theorem.
[tex]y^2 = 8^2+8^2[/tex]
which will lead you to [tex]y=8\sqrt{2}[/tex].
8 kilometers == meters
Answer: 8000
Step-by-step explanation:
discuss four contributing factors tha may lead to learners abusing the rights of others at school
If s5= -16.3804 and r=9/10,what is a₁?
The first term of GP is a₁ = -4.
Given that,
Sum of five terms of GP = s₅ = -16.3804
Common ratio = 9/10 which is less than 1
Number of terms = n = 5
We know that,
Sum of nth term of GP when common ration is less than 1,
s₅ = a₁(1-[tex]r^{n}[/tex])/(1-r)
Substituting the values,
⇒ -16.3804 = a₁(1-0.9⁵)/(1-0.9)
⇒ a₁ = -16.3804/4.0951
⇒ a₁ = -4
Hence, the value of a₁ is -4.
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Use the following information to answer questions 9 and 10.
Suppose we drop a ball from a height of 10 feet. After each bounce, it returns to a height that is k% of the height from which it last fell. After the 5th bounce, it returns to a height of 9.04 feet. We will ignore things like friction and air resistance so that the terms form a geometric sequence.
9 . Determine k.
97.51%
98.00%
98.83%
99.15%
10. How many bounces does it take until the ball bounces back to a height less than 3 inches (1/4 of a foot)?
163
183
203
223
9. The ball returns to 98.00% of its previous height after each bounce Option B
10. It will take 183 bounce until the ball bounces back to a height less than 3 inches. Option B
How do we solve for k% of previous height?To solve for k% of previous height after each bounce, we say
10×(k/100)⁵ = 9.04
k = [tex](9.04/10)^{1/5}[/tex]×100
k = 98.00
To find out how many bounces it takes for the ball to bounce back to a height less than 3 inches (or 0.25 feet), we use the inequality
10 × (0.961)ⁿ < 0.25
The logarithm of both sides gives
n × log(0.961) < log(0.025)
n > log(0.025) / log(0.961)
n > 182.593
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2 defective screws out of 100 packs them in boxes of 500 probability of 15 defective screws
The term (100 C 15) represents the number of ways to choose 15 defective screws out of 100 packs.
In a scenario where there are 2 defective screws out of 100 packs, each containing 500 screws, we can calculate the probability of obtaining 15 defective screws. Let's assume that each pack is independent of the others.
The probability of a single screw being defective is 2/500, as there are 2 defective screws out of 500 in each pack.
Conversely, the probability of a screw being non-defective is 498/500.
To find the probability of obtaining exactly 15 defective screws, we can use the binomial distribution formula. The probability (P) can be calculated as follows:
P = (100 C 15) * (2/500)^15 * (498/500)^85
The term (100 C 15) represents the number of ways to choose 15 defective screws out of 100 packs.
By plugging these values into the formula and performing the calculations, the probability of obtaining exactly 15 defective screws can be determined. However, I am unable to perform the calculation for you within the given word limit.
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How is graphing (5, 0) different from graphing (0, 5)? Explain.
Answer: If the number is placed on the X as in (X,Y) the X value will rise but the Y value will stay the same, but if the number is played on the Y, the Y value will go up, and the X value will stay the same