After one rotation of the carousel, Mei has traveled 2π more meters than Anju.
Therefore, the correct answer is option B. 2π more meters.
To determine how many more meters Mei has traveled than Anju after one rotation of the carousel, we need to
calculate the difference in the distances traveled by their horses.
Step 1: Calculate the circumference of the circular path of each horse.
Circumference = 2 × π × radius
For Mei's horse:
Circumference = 2 × π × 3 meters
= 6π meters
For Anju's horse:
Circumference = 2 × π × 2 meters
= 4π meters
Step 2: Subtract the distances traveled by both horses.
Difference = Mei's distance - Anju's distance
Difference = 6π meters - 4π meters
= 2π meters
After one rotation of the carousel, Mei has traveled 2π more meters than Anju.
Therefore, the correct answer is option
B. 2π more meters.
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The function a(b) relates the area of a trapezoid with a given height of 12 and
one base length of 9 with the length of its other base.
It takes as input the other base value, and returns as output the area of the
trapezoid.
a(b) = 12 +9
Which equation below represents the inverse function b(a), which takes the
trapezoid's area as input and returns as output the length of the other base?
O A. b(a)=-6
OB. b(a) =
O c. b(a) =
OD. b(a) =
+6
-9
+ 9
Answer:
56
Step-by-step explanation:
because of its answee
the sum of x and y is twice x. y=
Answer:
y is x because if x+y is 2x then y must equal x
The sum of x and y is twice x. Then the value of y will be equal to x.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that sum of x and y is twice x. Then the value of y will be calculated as below:-
x + y = 2x
y = 2x - x
y = x
Therefore, the sum of x and y is twice x. Then the value of y will be equal to x.
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What is the length of segment VT?
Answer:
5
Step-by-step explanation:
VU = VT because they are on two diagonals that intersect at the midpoint
I'm very confused on this.
a bulider built 1\6 of floors of an new skyscraper if the builder bulit 13 floors how maby floors will the sky scraper have when its finbished
The skyscraper will have 78 floors when it is finished.
What is a fraction?
A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
Let's assume that the total number of floors in the skyscraper is "x".
According to the problem, the builder has built 1/6 of the floors.
So the number of floors built by the builder is:
= (1/6)x
The problem also tells us that the builder has built 13 floors.
So we can set up the equation:
(1/6) x = 13
To solve for "x", we can multiply both sides by 6:
x = 78
Therefore,Therefore, The skyscraper will have 78 floors when it is finished.
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people taking part in an experiment are called variables.
Answer:
Yes, people that taking part in an experiment are called variables.
There is normally one person called the dependent variable, and the other who is the independent variable.
The statement provided "people taking part in an experiment are called variables" is incorrect.
In an experiment, the individuals or subjects who participate and are observed or manipulated are not referred to as variables. Instead, they are called participants, subjects, or sometimes, respondents, depending on the context of the study.
Variables, on the other hand, are characteristics or properties that can vary or change among the individuals or subjects in the study. Variables can be classified as independent variables, dependent variables, or control variables.
Independent variables are manipulated or controlled by the researcher, while dependent variables are the outcomes or responses that are measured or observed.
Control variables are other factors that are held constant. Therefore, it is important to differentiate between the individuals participating in the experiment and the variables being studied.
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Which of the following may give misleading information if a distribution is skewed?
a)mode
b)median
c)mean
D)none of the above
Option c) mean may give misleading information if a distribution is skewed.
When a distribution is skewed, the measure of central tendency that may give misleading information is mean. Skewness is a statistical measure that helps determine the distribution's symmetry.
The mode is the value that appears the most frequently in the dataset. The median is the value in the middle of the dataset when it is sorted in numerical order.
The mean is the average of the dataset, which is calculated by summing all the values and then dividing the total by the number of observations. The skewness can be positive or negative, depending on the direction of the long tail of the distribution.
A positive skew occurs when the tail on the right side of the distribution is longer than the tail on the left side. In this case, the mean will be greater than the median, as the tail on the right side pulls the mean in that direction.
Conversely, a negative skew occurs when the tail on the left side of the distribution is longer than the tail on the right side. In this case, the mean will be less than the median, as the tail on the left side pulls the mean in that direction.
Therefore, option c) mean may give misleading information if a distribution is skewed.
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8.
5. Levi drank x ounces of water in a
single day. Zion drank 3/8 more than
Levi as shown in the tape diagram
pictured to the left. Write an equation
to represent the amount of water Zion
drank. Let y represent the number of
ounces of water Zion drani.
Type a response
2
The equation to represent water drank by Levi when he Levi drank x ounces of water in a
single day is x = y + 3/8
How to illustrate the equation?It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign
In this situation, Levi drank x ounces of water in a
single day. Zion drank 3/8 more than Levi.
The equation to represent the amount of water Zion drank will go thus:
Let y = the number of ounces of water Zion drani.
The equation will be:
x = y + 3/8
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Is the missing side length leg or the hypotenuse
Answer:
The Hypotenuse is going to be the longest side of a Right Triangle.
Step-by-step explanation:
Please help me if you can
Answer:
1)-9x^5 + 7x^2 + 3 2) -2x2 • (x - 7) 3) -23v^2 + 7v + 4 4) is just 7x
may someone plz help me I have been stuck on this for a day
Answer:
The concluding part
Step-by-step explanation:
Answer:
answer is option 3 and it's correct
mean of 182.5 cm and standard deviation of 10.3. What is the probability that a Dutch male is between 173.5 and 191.5 cm ? Round your answer to three decimal places.
Answer:
The probability that a Dutch male is between 173.5 and 191.5 cm is 0.616
or 61.6%
Step-by-step explanation:
Mean = M = 182.5
Standard Deviation = S = 10.3,
We need to find the z values and then calculate the probabilities,
Probability of being lower than 173.5,
P(X < 173.5),
Finding the z value,
z = (x - M)/S
z = (173.5 - 182.5)/10.3
z = -0.87
Then the corresponding value for the area and hence the probability is,
P(X<173.5) = P(z = -0.87) = 0.1922
P(X < 173.5) = 0.1922
Probability of being lower than 191.5,
P(X<191.5)
Finding the z value,
z =(x-M)/S
z = (191.5 - 182.5)/10.3
z = 0.87
Then the corresponding value for the probability is,
P(X < 191.5) = 0.8078
The probability that a Dutch male is between 173.5 and 191.5 cm is,
P(173.5 < X < 191.5) = P(X < 191.5) - P(X < 173.5)
P(173.5 < X < 191.5) = 0.8078 - 0.1922
P(173.5 < X < 191.5) = 0.6156
To 3 decimal places,
P(173.5 < X < 191.5) = 0.616
P(173.5 < X < 191.5) = 61.6%
A restaurant bill before tax is $15.50. How much is a 15% tip for this bill?
Answer:
for 1 person the tip is $2.33
Step-by-step explanation:
Find the slope and the y-intercept of the line.
y=7x-4. slope: ? y-intercept: ?
Answer:
Slope: \(\boxed {7}\)
Y-intercept: \(\boxed {-4}\)
Step-by-step explanation:
About the Slope-Intercept Form equation, the variable \(m\) is the slope and variable \(b\) is the y-intercept. So, according to the following expression, the slope would be \(7\) and the y-intercept would be \(-4\):
-Slope-Intercept Equation:
\(y = mx + b\)
Slope: \(m\)
Y-intercept: \(b\)
-The following expression:
\(y = 7x - 4\)
Slope: \(\boxed {7}\)
Y-intercept: \(\boxed {-4}\)
PLEASEEEE SOMEONE HELP I GIVE AS MUCH POINTS :’( Thank you!
The approximate area of the trapezoid is determined as 13.95 unit².
What is the approximate area of the trapezoid?The approximate area of the trapezoid is calculated as follows;
Area = ¹/₂(b₁ + b₂)h
Where;
b₁ and b₂ are the lengths of the parallel sidesh is the heightThe y-coordinates of the points on the curve at x=3/2 and x=4 is calculated as follows;
y(3/2) = - (3/2)²/2 + 3/2 + 5
y(3/2) = -9/8 + 3/2 + 5
y(3/2) = 5.375
y(4) = -4²/2 + 4 + 5
y(4) = -8 + 9
y(4) = 1
h = 5.375 - 1 = 4.375
The approximate area of the trapezoid is calculated as;
Area = ¹/₂(5.375 + 1) x 4.375
Area = 13.95 unit²
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You just won a grand prize that pays you $1000 a month for 9 years. If you can earn 8 percent on your money, what is this prize worth to you today? $100,875.78$122,591.29$64,800.00$14,000.00$76,812.50
If you can earn 8 percent on your money, the prize worth to you is: $76,812.50. To calculate the present value of the prize, we need to determine the current worth of receiving $1000 per month for 9 years, given an 8 percent annual interest rate.
This situation can be evaluated using the concept of the present value of an annuity. The present value of an annuity formula is used to find the current value of a series of future cash flows. In this case, the future cash flows are the $1000 monthly payments for 9 years. By applying the formula, which involves discounting each cash flow back to its present value using the interest rate, we find that the present value of the prize is $76,812.50.
This means that if you were to receive $1000 per month for 9 years and could earn an 8 percent return on your money, the equivalent present value of that prize, received upfront, would be $76,812.50.
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please help asap !!
15. What postulate or theorem proves the two triangles congruent? Select the postulate or theorem and then select the correct congruence statement.
Answer:
triangle abc = acb
Step-by-step explanation:
ist right answer of this test
Answer:
triangle 1st one ABC=abc
which of the following triple integrals would have all constant bounds when written in cylindrical coordinates? select all that apply.
The only triple integral that has all constant bounds when written in cylindrical coordinates is the second one, i.e., ∭x2 + y2 dV.
In cylindrical coordinates, a triple integral is given by ∭f(r, θ, z) r dz dr dθ.
To have constant bounds, the limits of integration must not contain any of the variables r, θ, or z. Let's see which of the given triple integrals satisfy this condition.
The given triple integrals are:
a) ∭xyz dVb) ∭x2 + y2 dVc) ∭(2 + cos θ) r dVd) ∭r3 sin2 θ cos θ dV
To determine which of these integrals have all constant bounds, we must express them in cylindrical coordinates.
1) For the first integral, we have xyz = (rcosθ)(rsinθ)(z) = r2cosθsinθz.
Hence, ∭xyz dV = ∫[0,2π]∫[0,R]∫[0,H]r2cosθsinθzdzdrdθ.
The limits of integration depend on all three variables r, θ, and z.
So, this integral doesn't have all constant bounds.
2) The second integral is given by ∭x2 + y2 dV.
In cylindrical coordinates, x2 + y2 = r2, so the integral becomes ∫[0,2π]∫[0,R]∫[0,H]r2 dzdrdθ.
The limits of integration don't contain any of the variables r, θ, or z.
Hence, this integral has all constant bounds.
3) For the third integral, we have (2 + cos θ) r = 2r + rcosθ. Hence, ∭(2 + cos θ) r dV = ∫[0,2π]∫[0,R]∫[0,H](2r + rcosθ)r dzdrdθ.
The limits of integration depend on all three variables r, θ, and z. So, this integral doesn't have all constant bounds.
4) The fourth integral is given by ∭r3 sin2θ cosθ dV. In cylindrical coordinates, sinθ = z/r, so sin2θ = z2/r2.
Also, cosθ doesn't depend on r or z. Hence, the integral becomes ∫[0,2π]∫[0,R]∫[0,H]r3z2cosθ dzdrdθ.
The limits of integration depend on all three variables r, θ, and z. So, this integral doesn't have all constant bounds.
Therefore, the only triple integral that has all constant bounds when written in cylindrical coordinates is the second one, i.e., ∭x2 + y2 dV.
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x + 2/3 = -4 one step equation
Answer:
-4.666666667
Step-by-step explanation:
x + 2/3 = -4
x = -4 - 2/3
x = -4.666666667
Alicia spun a spinner 100 times, and the results are shown in the following table. What is the relative frequency for the spinner to land on number 1?
Responses
Answer:
3/25
Step-by-step explanation:
The expression (y^20) (y^-5)^2 is equivalent to y^n. What is the value of n? n = 27 n = 10 n = -200 n = 17
Answer:
n = 10
Step-by-step explanation:
Using the rules of exponents
\(a^{m}\) × \(a^{n}\) ⇔ \(a^{(m+n)}\)
\((a^{m}) ^{n}\) = \(a^{mn}\)
Given
(\(y^{20}\) ) (\((y^{-5}) ^{2}\)
= \(y^{20}\) × \(y^{-10}\)
= \(y^{(20-10)}\)
= \(y^{10}\) → in the form \(y^{n}\) with n = 10
Answer:
10.
Step-by-step explanation:
I took the test with this question
Frederick asked a bank teller to cash a $390 check using $20 and $50 bills. If the teller gave
him 15 bills, how many of each did he receive?
12 of $20 and 3 of $50 totally didnt edit it... lolol..
Answer:
12 $20 Bills & 3 $50 Bills
Step-by-step explanation:
Because if the total is $390, Then if you get 10 $20 Bill that would equal $200 Bills and if you get 2 $50 Bills then you would get $100. Add the $200 Bills & the $100 Bills you get $300 Bills.
Then you get 1 $50 Bill and 2 $20 Dollar Bills you get $90 Bills.
Add $300 Bills with $90 Bills and you get $390.
If you add the number of bills handed it would be 15.
Persevere the ratio of the volume of cylinder a to the volume of cylinder b is 5:1. Cylinder a is similar to cylinder c with a scale factor of 2:1, and cylinder b is similar to cylinder d with a scale factor of 3:1. What is the ratio of the volume of cylinder c to the volume of cylinder d? explain your reasoning
The ratio of the volume of cylinder C to the volume of cylinder D is ∛6:1.
To determine the ratio of the volume of cylinder C to the volume of cylinder D, we need to consider the relationship between the scale factors of the cylinders.
Given that the ratio of the volume of cylinder A to the volume of cylinder B is 5:1, we can infer that the scale factor between A and B is the cubic root of the volume ratio, which is ∛(5/1) = ∛5.
Similarly, the scale factor between cylinder B and cylinder D is 3:1, which implies that the cubic root of the volume ratio is ∛(3/1) = ∛3.
Now, we know that cylinder A is similar to cylinder C with a scale factor of 2:1. This means that the scale factor between A and C is 2:1, and the cubic root of the volume ratio is ∛(2/1) = ∛2.
By combining the scale factors, we can find the ratio of the volume of cylinder C to the volume of cylinder D:
Ratio of C to D = (Ratio of A to C) * (Ratio of B to D)
= ∛2 * ∛3
= ∛(2*3)
= ∛6
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Find the slope of the line that passes through:
(-4,7) and (-6, -4)
Answer:
Ok:
Step-by-step explanation:
The formula is \(\frac{y_2-y_1}{x_2-x_1}\). Here, we can plug in values where x2 = -6, x1 = -4, y2=-4, and y1 = 7. Solving, we get the slope is 11/2 or 5.5.
Which is a counterexample for the conditional statement shown?
If the numerator of a fraction is larger than the denominator of the fraction, then the fraction is greater than 1.
any fraction with a denominator of O
any fraction with a numerator of O
any fraction with a positive numerator and a negative denominator
any fraction with a negative numerator and a positive denominator
Answer: It is c
Step-by-step explanation: Im doing the test and did some research.
But if you are seweing this on 9/22/2020 please wait for me to put the confirmed answer in the comments.
Answer:
It's c
Step-by-step explanation:
Select the correct answer. Which statement about an electromagnet is true? A. It doesn’t function without a source of current. B. The core is made from a nonmagnetic material. C. It uses moving magnets to create an electric field. D. It creates a permanent and strong magnetic field.
Answer:I’m going to say it’s A I apologize if it’s wrong
Step-by-step explanation:
Magnets are magnetic fields that compares together when attracted close to one another so that’s Why I’m choosing A because it’s close to what I think
you place in a dark bag 24 marbles. 12 marbles are red, 5 marbles are blue and 7 marbles are yellow. you select 2 random marbles (one after the other without putting the first back in). what is the probability that the marbles have the same color?
The probability of selecting two marbles with the same color is approximately 0.27 or 27%.
To work out the likelihood that the two marbles drawn have similar variety, we can utilize the accompanying advances:
In the first place, we compute the likelihood of drawing a red marble on the principal pick: 12/24 = 1/2.
On the off chance that the main marble drawn is red, there will be 11 red marbles left clinched, out of a sum of 23 marbles. So the likelihood of drawing one more red marble on the subsequent pick is 11/23.
Likewise, in the event that the principal marble drawn is blue, there will be 4 blue marbles left clinched, out of a sum of 23 marbles. So the likelihood of drawing one more blue marble on the subsequent pick is 4/23.
Furthermore, on the off chance that the main marble drawn is yellow, there will be 6 yellow marbles left taken care of, out of a sum of 23 marbles. So the likelihood of drawing one more yellow marble on the subsequent pick is 6/23.
To get the complete likelihood of drawing two marbles of similar variety, we want to add the probabilities of every one of these cases:
(1/2) x (11/23) + (5/24) x (4/23) + (7/24) x (6/23) = 55/138 or roughly 0.398 or 39.8%.
In this way, the likelihood of drawing two marbles of a similar variety is roughly 39.8%.
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Math help due soon thanks
Answers:
SkippingSkippingAngles A and EAngles B and CAngles D and EAngles A and HAngles A and BAngle AAngle BAngles E and F=====================================
Explanation:
SkippingSkippingCorresponding angles are ones where they are in the same configuration of the 4 corner angle set up. Angles A and E are in the same northwest position. Another pair would be angles B and F in the northeast, and so on. Corresponding angles are congruent when we have parallel lines like this.Vertical angles form when we cross two lines. They are opposite one another and always congruent (regardless if the lines are parallel or not).Alternate interior angles are inside the parallel lines, and they are on alternating sides of the transversal cut. Alternate interior angles are congruent when we have parallel lines like this. Alternate exterior angles are the same idea as number 5, but now we're outside the parallel lines. Alternate exterior angles are congruent when we have parallel lines like this.Adjacent angles can be thought of as two rooms that share the same wall. Specifically, adjacent angles are two angles that share the same segment, line, or ray. The angles must also share the same vertex. In this case, any pair of adjacent angles always adds to 180 (though it won't be true for any random pair of adjacent angles for geometry problems later on).Simply list any angle that looks obtuse, ie any angle that is larger than 90 degrees.List any angle that is smaller than 90 degrees. It can be adjacent to whatever you picked for problem 8, but it could be any other acute angle as well.Refer to problem 7. In this case, adding any two adjacent angles together forms a straight line.determine whether the statement is true or false. there exists a function f such that f(x) < 0, f '(x) > 0, and f ''(x) < 0 for all x. a. true b. false
The statement “there exists a function f such that f(x) < 0, f’(x) > 0, and f”(x) < 0 for all x” is false.
To understand why this statement is false, we must first understand what the symbols mean. The symbol f(x) refers to a function of x, and the symbols f’(x) and f”(x) refer to the first and second derivatives of the function, respectively.
The statement is saying that for all x, the function f(x) will be less than 0, the first derivative f’(x) will be greater than 0, and the second derivative f”(x) will be less than 0.
To show that this statement is false, we need to find an example of a function where this is not the case. Let’s consider the function f(x) = x³. At x = 0, this function is equal to 0, and so f(x) < 0 is not true. Additionally, the first derivative at x = 0 is f’(0) = 0, which is not greater than 0. Thus, the statement is false.
We can also show that this statement is false by looking at the graph of the function f(x). A function with the properties given in the statement would have a graph that looks like a “U” shape, with a minimum point at the origin. However, this is not the case for the function f(x) = x³. The graph of this function is a parabola, which does not have the desired shape.
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Find the slope for these two will give brainliest.
Answer:
Problem 1 = -1
Problem 2 = undefined
Step-by-step explanation:
Slope: \(\frac{y^{2}-y^{1} }{x^{2}-x^{1} }\)
Problem 1: (4, -5)(-2, 1)
Slope = \(\frac{1-(-5)}{-2-4}=\frac{1+5}{-2-4}=\frac{6}{-6}=-1\)
Problem 2: (-4, 6)(-4, 8)
Slope: \(\frac{8-6}{-4-(-4)}=\frac{2}{0}\) = Undefined