Step-by-step explanation:
step 1. U(-7, 2) -> U'(-2, -7)
step 2. V(-7, 7) -> V'(-7, -7)
step 3. W(-1, 6) -> W'(-6, -1)
Triangle ABC is right triangle. The length of one leg is 80 centimeters, and the hypotenuse is 120 centimeters. What is the length, in centimeters, of the other leg?
The length of the other leg of the right triangle is; 89.44 centimetres
Right triangles and the Pythagoras theoremAccording to the question;
We are required to determine the length, in centimetres of the other leg of the right triangle.By the Pythagoras theorem;
Hyp² = Opp² + Adj²Hence, It follows that;
120² = 80² + X²x² = 14400-6400x² = 80,000Find the square root of both sides of the equation;
x = √80,000x = 89.44 centimeters
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Determine which equation below has a solution of a = 2.
A. 2a + 3a – 6=-21
B. 8 = 3 + 4a-3-5a
C. -2 = 2 + 5a - 2 - 6a
D. -4a + 3a - 6 = -4
Answer:
C
Step-by-step explanation:
–2 = 2 + 5a – 2 – 6a
From the top of a 16 m tall building, the angle of depression to a car on the road is 35°. To the nearest metre, how far is the car from the base of the building?
The distance of the car to the base of the building is 23 metres.
How to find the distance of the car from the building using angle of depression?The situation will form a right angle triangle.
Therefore, the distance of the car to the base of the building is the adjacent side of the right angle triangle formed.
Therefore,
tan 35 = opposite / adjacent
tan 35 = 16 / x
x tan 35 = 16
x = 16 / tan 35
Therefore,
x = 16 / 0.70020753821
x = 22.8506141103
x = 23 meters
Therefore, the distance of the car to the base of the building is 23 metres.
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Can you please tell me the answer for this and it’s steps
ANSWER:
STEP-BY-STEP EXPLANATION:
We have the following function:
\(y=|x-a|\)Each absolute value graph will have a “V” shape. It consists of two parts: one with a negative slope and one with a positive slope. The point of intersection is called the vertex. An absolute value graph is symmetric, meaning that it can be folded in half along its line of symmetry.
Therefore, the sketch of the function would be:
PLEASE HELP ME I NEED HELP ASAP!!!!!!!!!!!! THIS IS THE LAST OF MY POINTS!
Answer: see image
Step-by-step explanation:
There aren't any instructions so my best guess is that you draw a line from the ball to a zombie and then to another zombie, etc until all of the zombies are wiped out by the ball.
what is the maximum number of 2/0 awg thw aluminum compact conductors permitted in a 21/2-inch pvc conduit, schedule 80?
To determine the maximum number of 2/0 AWG THW aluminum compact conductors permitted in a 2½-inch PVC conduit, Schedule 80, we need to consult the applicable electrical code or standards.
The number of conductors allowed in a conduit is typically governed by factors such as fill capacity and heat dissipation.
The specific requirements may vary depending on the jurisdiction and the electrical code being followed. It is recommended to consult the local electrical code or a qualified electrician to ensure compliance with the regulations in your area.
They will be able to provide the precise guidelines and restrictions for conductor fill capacity based on the conduit size, type, and the specific application.
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The population of bald eagles is decreasing 4% each year. in 2015, there were 2800
bald eagles.
what will the approximate population of bald eagles be in the year 2030?
a. 1120
b. 3006
c. 3
d. 1518
Answer:
a. 1120
Step-by-step explanation:
15 years
each year 4%
or 60% decrease in 15 years
so 2800×60%=1680
2800-1680=1120
line of best fit - scatter plot questions
Answer:
d
Step-by-step explanation:
the answer is d cause you can get it later if you know what I mean
You have collected 20 samples of 100 items each. The total number of defective items is 75. Determine the upper control limit (UCL) at a 99% confidence interval (z value =3 ). Answer A. 0.7935 B. 0.0945 C. 0.165 D. 0.0375
The upper control limit (UCL) at a 99% confidence interval with a z value of 3 is 0.165.(option c)
In statistical process control, the UCL is a key parameter used to determine the upper boundary for acceptable variation in a process. To calculate the UCL for a defect rate, we use the formula UCL = p' + z * sqrt(p'(1-p')/n), where p' is the proportion of defects in the sample, z is the z value corresponding to the desired confidence level, and n is the sample size.
In this case, we have collected 20 samples of 100 items each, and the total number of defective items is 75. Therefore, the proportion of defects in the sample is 75/2000 = 0.0375. Using the formula mentioned earlier, with a z value of 3 and n value of 100, we can calculate the UCL as follows: UCL = 0.0375 + 3 * sqrt(0.0375 * (1-0.0375)/100) ≈ 0.165.
Therefore, the correct answer is C. 0.165.
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How does graphing help you solve a system of linear equations?
Answer:
it helps by finding out how you got it
Step-by-step explanation:
A singles tournament had six players. Each player played every other player only once, with no ties. If Helen won 4 games, Ines won 3 games, Janet won 2 games, Kendra won 2 games and Lara won 2 games, how many games did Monica win
Monica win 2 games.
What is Expression?In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)
According to the question,
First we look from the perspective of one player.
How many games does this person play? 5.
Now, each or the 6 people in the tournament played 5 games,
SO,
\(^{6} C_{2} = \frac{6!}{2! * 4!} = \frac{6*5}{2} = 15\)
Therefore,
We know that there were a total of 15 games played.
This means, there were 15 losses, and more importantly, 15 wins.
Not counting Monica, there were:
4 + 3 + 2 + 2 + 2 = 13 wins.
This leaves,
15 − 13 = 2 wins for Monica.
Hence, 2 games won by monica in a tournament.
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A scientist uses a submarine to study ocean life.
She begins at sea level, which is an elevation of 0 feet.
She descends 48.7 feet.
She then rises 38.3 feet.
Next, she travels down a second time, 83.6 feet.
How many feet must she now ascend to get back to sea level?
Answer:
94
Step-by-step explanation
they go down 48.7 from 0 with is -48.7 then they go up 38.3 feet which is a positive so you add 38.3 + (-48.7) = -10.4. then we subtract 10.4 - (83.6) and get -94 feet, but to get back to 0 aka sea level they have to ascend 94 feet to get back up. so its positive 94
The variables y and x^2 are directly
proportional. It is given that the difference
between the values of ý when x = 2 and x = 5
is 20. Form an equation relating y and x.
Answer:
y = \(\frac{20}{21}\) x²
Step-by-step explanation:
Given that y and x² are directly proportional then the equation relating them is
y = kx² ← k is the constant of proportion
When x = 2
y = k × 2² = 4k
When x = 5
y = k × 5² = 25k
Then
25k - 4k = 20 ( difference between values is 20 )
21k = 20 ( divide both sides by 21 )
k = \(\frac{20}{21}\)
y = \(\frac{20}{21}\) x² ← equation of proportion
A square grass mat has a side of length 3 metres. What is the total area of x of these mats?.
Answer:
Step-by-step explanation:
34 Assume a 1/2" hole iş drilled 1 1/2" off-center on a 4" diameter circular disc. la shaft is keyed through the 1/2" hole and the disc is used as a cam, the lift cam will be A. 2 3/4" B. 3" C. 3 1/4" D. 3 1/2
The cam lift is 3 1/2 inches, which is option D.
To determine the lift of the cam, we need to find the distance from the center of the disc to the highest point of the cam surface.
First, we can find the distance from the center of the disc to the edge of the 1/2" hole. Since the hole is drilled 1 1/2" off-center, this distance is:
(4"/2) - 1 1/2" = 1"
Next, we can find the radius of the cam surface by adding the radius of the shaft (1/2") to the distance from the center of the disc to the edge of the 1/2" hole (1"):
1/2" + 1" = 1 1/2"
Finally, we can find the distance from the center of the disc to the highest point of the cam surface by adding the radius of the disc (4"/2 = 2") to the radius of the cam surface (1 1/2"):
2" + 1 1/2" = 3 1/2"
Therefore, the lift of the cam is 3 1/2 inches, which is option D.
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The area of a pool is 256π ft2. Find the distance around the pool in terms of pi.?
What is the exchange rate? Show your work.
1 US dollar = _________ euro.
The current exchange rate is 1 US dollar = 1 euro.
What is an exchange rate?The exchange rate of a currency is the worth of one currency in respect to another, or the rate at which one currency will be exchanged for another.
The foreign exchange market, commonly known as Forex or FX, is a global decentralized market for currency trading that determines the exchange rates of such currencies.
A currency exchange rate is the rate at which one currency can be exchanged for another. In other words, the exchange rate is the price of one currency in terms of another.
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PLEASE HELP!!! 50 POINTS!
1)
Make a box-and-whisker plot of the data.
21, 21, 22, 20, 13, 13, 27, 24
2) Make a box-and-whisker plot of the data.
60, 63, 53, 66, 65, 58, 51, 55, 58, 51, 58, 62, 53, 66, 61, 51, 65, 52, 54, 50
3) The box-and-whisker plots show data for the test scores of four groups of students in the same class. Which plot represents a group with a median grade below 65?
4) Use the two box-and-whisker plots shown below to determine which of the following statements is true.
A. The lower quartiles are equal.
B. The upper quartiles are equal.
C. They both have the same median.
D. The range is the same for both sets of data.
(please help!! I recently just did stem and leaf plots but this stumped me!! I will mark brainliest to whoever gives me a correct answer. All the images are in order and show all the options.)
Answer:
The box-and-whisker plot for the data {21, 21, 22, 20, 13, 13, 27, 24}:
diff
Copy code
| 10 20 30
-----|------------------------------
13 | •
20 | •
21 | • •
22 | •
24 | •
27 | •
The box-and-whisker plot for the data {60, 63, 53, 66, 65, 58, 51, 55, 58, 51, 58, 62, 53, 66, 61, 51, 65, 52, 54, 50}:
diff
Copy code
| 50 60 70
-----|------------------------------
50 | • •
51 | • • • • • •
52 | •
53 | • •
54 |
55 | •
58 | • • • • • •
60 | •
61 | •
62 | •
63 | •
65 | • •
66 | •
The box-and-whisker plot that represents a group with a median grade below 65 is the second plot.
Using the two box-and-whisker plots shown below, we can determine that statement B, "The upper quartiles are equal," is true.
css
Copy code
| 10 20 30
-----|------------------------------
A | • • • • •
B | • • • •
Both plots have the same lower quartile (Q1). The upper quartiles (Q3) for plots A and B are approximately equal. The medians for plots A and B are different, so statement C is false. The range for plot A is 26 (30 - 4), and the range for plot B is 20 (25 - 5), so statement D is false. Therefore, the correct answer is B.
when the mean, median, and mode of the list 10, 2, 5, 2, 4, 2, x are arranged in increasing order, they form a non-constant arithmetic progression. what is the sum of all possible real values of x?
We need to find the sum of all possible real values of x if the mean, median, and mode of the given list, when arranged in increasing order, form a non-constant arithmetic progression.
According to the given data, the list can be rearranged as:
2, 2, 2, 4, 5, 10, x
The mode of the given data is 2 because it occurs most frequently. The median is 4 since there are 3 numbers below and 3 numbers above 4, and the list is sorted in ascending order.
Using these two values, we can find the mean value of the given list.
(mode + median + mean) / 3 = mean
We know that mode is 2 and the median is 4, and the mean is (2+2+2+4+5+10+x)/7
Hence,(2+2+2+4+5+10+x)/7= (2+4+mean)/3
On solving, we get x = 16 - mean.
Substituting this value of x in the original list, we get:
2, 2, 2, 4, 5, 10, 16 - mean
The list is sorted in ascending order, so the order of mean, median, and mode is 5, 4, and 2.
Therefore, the non-constant arithmetic progression is:
2, 4, 5 If the order is 4, 2, 5, then it will not be non-constant. Hence, we can eliminate this case. The mean of the given list is: (2+2+2+4+5+10+x)/7
On substituting x = 16 - mean,
we get the expression for mean as:(2+2+2+4+5+10+16 - mean) / 7= 41/7 - mean/7
For the given list to be an arithmetic progression, we know that the sum of the first and the last term must be twice the middle term.
(2 + 16 - mean) / 2 = 4 + (5 - 4) / 2(18 - mean) / 2 = 4.5(18 - mean) = 9
We get mean = 9.
Substituting mean = 9 in the expression for x,
we get:
x = 16 - mean= 16 - 9= 7
Therefore, the sum of all possible real values of x is 7.
Answer: 7
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if a player placed a $8 bet on red and a $5 bet on black in a single play in american roulette, what would be the expected value of his winnings?
The expected gain for the player from Americal Roulette is $5.18 after rounding off to the nearest cent.
There are a total of 38 places in American Roulette. 18 places are red.18 places are black.2 places are green.If the ball lands on the chosen color, the amount placed on the bet is doubled.Therefore the possibilities are-
Ball lands on greenBall lands on redBall lands on black.The probability that the ball lands on a particular color
= no. of places of color/ total no. of places.
Let A be the event that the ball lands on red.
Let B be the event that the ball lands on black.
Let C be the event that the ball lands on green.
P(A) = 18/38
P(B) = 18/38
P(C) = 2/38
Here, an $8 bet is placed on red, and a $5 bet on black.
If the ball lands on red then the gain will be
$16 - $5
= $11
If the ball lands on black then the gain will be
$10 - $8
= $2
If the ball lands on green, the gain will be
= -$8 - $5
= - $13
Let the expected gain be E
E = sum of the products of gain and the probabilities
= gain on red X P(A) + gain on black X P(B) + gain on green X P(C)
= 11 X 18/38 + 2 X 18/38 - 13 X 2/38
= 198/38 + 36/38 - 26/38
= 197/38
= $5.1842
Rounding this off to the nearest cent gives us
= $5.18 (since the next digit is less than 5)
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Determine the minimum surface area of a rectangular container with a square base, an open top, and a volume of 864 cm3. Enter only the minimum surface area
The minimum surface area of the container is approximately 275.52 cm².
Let's suppose that the length, width, and height of the rectangular container are l, w, and h, respectively. We know that the container has a square base, so l = w. Also, we know that the volume of the container is 864 cm³, so we have:
l × w × h = 864
Since l = w, we can write this as:
l² × h = 864
We want to minimize the surface area of the container, which consists of the area of the base (l²) and the area of the four sides (2lh + 2wh). We can express the surface area in terms of l and h:
Surface Area = l² + 2lh + 2wh
Using the equation l² × h = 864, we can solve for h in terms of l:
h = 864 / (l²)
Substituting this into the equation for the surface area, we get:
Surface Area = l² + 2l(864 / l²) + 2w(864 / (lw))
Simplifying and using l = w, we get:
Surface Area = 2l² + 1728/l
To find the minimum surface area, we can take the derivative of this expression with respect to l, set it equal to zero, and solve for l:
d/dl (2l² + 1728/l) = 4l - 1728/l² = 0
4l = 1728/l²
l³ = 432
l = ∛432 ≈ 8.77 cm
Since the container has a square base, the length and width are both 8.77 cm. Using the equation l² × h = 864, we can solve for h:
h = 864 / (8.77)² ≈ 10.85 cm
Therefore, the minimum surface area of the container is:
Surface Area = 2(8.77)² + 2(8.77)(10.85) ≈ 275.52 cm²
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7.
The manager of a water park keeps track of the amount of money collected,
m, and the number of tickets sold, 1, each day. Which best describes the
variables m and ?
A. The variable t is the independent variable because it affects the
amount of money collected, m, each day.
1
B. The variable t is the dependent variable because it depends on
the amount of money collected, m, each day.
C. The variable m is independent of variable i, and variable i is
independent of variable m.
D. The variable m is the independent variable because it depends on
the number of tickets sold, t.
Answer:
Step-by-step explanation:
A.
Tara is hosting a party. She wants to buy some invitations. She has £50 to spend in either shop 1 or shop 2. What is the maximum number of invitations she can buy from each shop?
Assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are n 8 trials, each with probability of success (correct) given by p 0.45. Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4. P(X< 4) (Round to four decimal places as needed.)
Probability for the number of correct answers is fewer than 4 is 0.3993.
The probability that the number x of correct answers is fewer than 4 can be found using the binomial probability formula:
P(X = x) = (n choose x) * p^x * (1-p)^(n-x)
Where n is the number of trials, x is the number of successes, and p is the probability of success.
For this problem, n = 8, p = 0.45, and we want to find P(X < 4).
To find P(X < 4), we need to find the probability of 0, 1, 2, and 3 correct answers and add them together:
P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
Using the binomial probability formula, we can find each of these probabilities:
P(X = 0) = (8 choose 0) * 0.45^0 * (1-0.45)^(8-0) = 0.0059
P(X = 1) = (8 choose 1) * 0.45^1 * (1-0.45)^(8-1) = 0.0416
P(X = 2) = (8 choose 2) * 0.45^2 * (1-0.45)^(8-2) = 0.1275
P(X = 3) = (8 choose 3) * 0.45^3 * (1-0.45)^(8-3) = 0.2243
Adding these probabilities together, we get:
P(X < 4) = 0.0059 + 0.0416 + 0.1275 + 0.2243 = 0.3993
Therefore, the probability that the number x of correct answers is fewer than 4 is 0.3993.
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Please help and show work only do the left side
bottom was cut off a bit its 4=b
Which function has an inverse that is a function?
b(x)=x^2+3
d(x)=-9
m(x)=-7x
p(x)= |x|
the altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the triangle is increasing at a rate of 4 square centimeters/minute. at what rate is the base of the triangle changing when the altitude is 9.5 centimeters and the area is 100 square centimeters?
So, the base of the triangle is decreasing at the rate of 1.6 cm/min.
Given that:
The altitude of is increasing at a rate of 1 centimeters/minute, which means;
dh/dt = 1 cm/min
The area of the triangle is increasing at a rate of 4 square centimeters/minute;
dA/dt = 4 cm2/min
When A = 100 cm2, h = 10 cm
We know that, area of a triangle is given by:
A = 1/2 × b × h
b = 20 cm
Let us differentiate both sides with respect to time:
dA/dt = 1/2 [b dh/dt + h db/dt]
Substituting the values
2 = 1/2 [20 × 1 + 10 × db/dt]
By further simplification, we get
4 = 20 + 10 db/dt
db/dt = -1.6 cm/min
Therefore, the base of the triangle is decreasing at the rate of 1.6 cm/min.
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In Zimbabwe, the rate of inflation hit 90 sextillion percent in 2009, with prices increasing tenfold every day. At that rate, how much would a $100 textbook cost one week later? Hint: Use the following equation to calculate future price: Future price - (current price) x (inflation rate) where t is the number of days in the future.
Zimbabwe in the state of inflation will see that the textbook which cost $100, after a week will cost $1,000,000,000.
It is given that,
Current price = 14
Inflation rate = 10
Number of days = 7
Using the formula,
Future price = (current price) x (inflation rate) ^ number of days
X = 100 x 10 ^ 7
X = 100 x 10,000,000
X = 1,000,000,000
Though the general public usually uses the phrase "Too much money chasing too few items" to describe a long-term increase in the general price level of goods and services in an economy, the definition of inflation in the study of economics is "mean increasing money supply." It could also be interpreted as a lack of value in the currency. Inflation is the term used to describe when prices rise or when money loses some of its purchasing power. Economists believe that a variety of factors, such as a rise in the money supply, higher wages, and increased aggregate demand, may contribute to inflation.
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Non-
n
14. Two packages weigh 3.92 pounds and
2.8 pounds. How many times heavier
is the first package than the second?
07 times
Hey there!
Let's think of this with a simpler example. Let's say one package is 4 pounds and one is 2 pounds. How many times heavier is the first than the second?Well, two, because the first package is double the weight of the second package! It's twice as heavy! And to get to that number, we divide four by two!
So, in our actual problem, we just divide 3.92 (bigger package) by 2.8 (smaller package).
3.92÷2.8=1.4
So, the first package is 1.4 times heavier than the first one!
Have a wonderful day!
State which metric unit you would probably use to measure each item.
length of a highway
To measure the length of a highway, the metric unit that would likely be used is kilometers (km). Highways are typically measured in longer distances, and kilometers provide a more appropriate and convenient unit for this purpose.
The metric unit that would probably be used to measure the length of a highway is kilometers (km).
When it comes to measuring the length of a highway, it is important to use a metric unit that is suitable for longer distances. The most commonly used metric unit for measuring long distances is kilometers (km). Kilometers provide a more convenient and appropriate unit for measuring highways because they cover larger distances compared to other metric units like meters or centimeters.
Highways can span across cities, states, or even countries, and kilometers allow for a more accurate representation of these extensive lengths. By using kilometers as the metric unit, we can easily estimate and compare the lengths of different highways. For instance, we can determine that Highway A is 100 kilometers long, while Highway B is 200 kilometers long. This helps in planning routes, estimating travel times, and overall transportation management. In conclusion, the metric unit that would probably be used to measure the length of a highway is kilometers (km).
The metric unit that is likely to be used for measuring the length of a highway is kilometers (km).
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