A point on the edge of the tire rotates through 216000 degrees when the tire rotates 600 times per minute. The answer is 216000.
The solution for the problem is as follows:
To solve this problem, you need to use the formula given below to find out the degree measure of rotation of a point on the edge of the tire:
degree of rotation = (number of rotations per minute) × (degree measure of rotation per rotation)
Given, number of rotations per minute = 600
We need to find the degree of rotation through which a point on the edge of the tire rotates.
This means that we need to find the degree measure of rotation per rotation.
Since the tire is a circle, we know that the degree measure of rotation per rotation is the same as the degree measure of one complete revolution of the circle.
degree measure of rotation per rotation = degree measure of one complete revolution of the circle
The degree measure of one complete revolution of the circle is 360°.
Therefore, degree measure of rotation per rotation = 360°
Now we can use the formula for degree of rotation to find out the answer:
degree of rotation = (number of rotations per minute) × (degree measure of rotation per rotation)
= 600 × 360
= 216000
Therefore, a point on the edge of the tire rotates through 216000 degrees when the tire rotates 600 times per minute. The answer is 216000.
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The question is in the image. The final answer is also in the other image.
We have that because the central angle is 90°, the sector represents 1/4 of a circle with a radius of 10 yd.
So, length of the safety rail is given by:
\(l=\frac{1}{4}\cdot2\pi r\)Where:
r = 10 yd
pi = 3.14
Substitute, we have:
\(l=\frac{1}{4}\cdot2(3.14)(10)=\frac{1}{4}\cdot62.8=15.7\text{ yd}\)The Answer is 15.7 yd
Next, area of the deck is given by:
\(A=\frac{1}{4}\pi r^2\)Substitute the values:
\(A=\frac{1}{4}(3.14)(10)^2=\frac{1}{4}(3.14)(100)=\frac{314}{4}=78.5\text{ yd}^2\)The answer is 78.5 yd^2
A race car is equipped with jets that can make it go from 0 to 64 mph (about 28 m/s) in 4 seconds. What is the acceleration of the car using its jets?
Answer:
So that it can run faster
Answer:
\(a = change \: in \: v \div time\)
Step-by-step explanation:
Change in V =28-0
=28
time =4 sec
Therefore acceleration =28 ÷4
7m/s^-2
lect all that apply which of the following statements describe the poisson distribution? select all that apply multiple select question. the probability of the event is proportional to the interval size. the probability of an individual event occurring is quite large. the intervals do not overlap and are independent. the random variable is the number of occurrences during an interval.
The Poisson distribution is a probability distribution that describes the number of independent occurrences of an event in a fixed interval of time or space.
In this case, the random variable is the number of occurrences during an interval. Therefore, the statement "the random variable is the number of occurrences during an interval" applies to the Poisson distribution. Another statement that applies to the Poisson distribution is "the probability of the event is proportional to the interval size". This means that the probability of observing k events in a fixed interval is proportional to the length of the interval. However, the statement "the probability of an individual event occurring is quite large" does not describe the Poisson distribution. In fact, the Poisson distribution assumes that the probability of an individual event occurring is small, but the number of events is large. Finally, the statement "the intervals do not overlap and are independent" is not a defining characteristic of the Poisson distribution, although it is often assumed in practical applications. In summary, the Poisson distribution is a probability distribution that models the number of independent occurrences of an event in a fixed interval. The probability of the event is proportional to the interval size, and the random variable is the number of occurrences during an interval.
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I will mark you brainliest!!! What is the slope-intercept equation of this line?
Answer:
It has negative run, between two points so the slope is negative. the y intercept if 4. y=-2x+4
Answer:
A.
Step-by-step explanation:
Get the two points first.
(2, 0) and (0, 4)
The slope is -2
y = -2x + b
y = -2x + 4
A small theater is arranged with 10 seats in the front, 12 seats in the second row, 14 seats in the third row, and 14 seats in the last row.
What is the probability that a person will NOT seat in the third row?
14%
36%
28%
72%
Answer:
should be 36% or 28%
Step-by-step explanation:
first I added them all up but if that's not right use 28\\ I am not the best at math I'm just helping out a little.
Eli cuts 2 feet from a -foot 6 length of rope. Then he cuts 13 inches from the rope. How many inches of rope are left?
If a voter votes RIGHT in one election, the probability that the voter will vote LEFT in the next election is 0.2. If a voter votes LEFT in one election, the probability that the voter will vote RIGHT in the next election is 0.1. Assume that these are the only two parties available to vote for. 1. What is the Markov assumption? 2. Draw the transition diagram to this problem. 3. Write down the transition matrix. 4. If 55% of the electorate votes RIGHT one year, find the percentage of voters who vote RIGHT the next year. What would be the voter percentages in 10 years' time? Interpret your result. (2+2+3 marks) 5. Will there ever be a steady state where the party percentages don't waiver? Interpret your result. (3+3 marks)
After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.
The Markov assumption in this context is that the probability of a voter's next vote depends only on their current vote and not on their past voting history. In other words, the Markov assumption states that the future behavior of a voter is independent of their past behavior, given their current state.
Transition diagram:
LEFT RIGHT
|--------->--------|
LEFT | 0.8 0.2 |
| |
RIGHT| 0.1 0.9 |
|--------->--------|
The diagram represents the two possible states: LEFT and RIGHT. The arrows indicate the transition probabilities between the states. For example, if a voter is currently in the LEFT state, there is a 0.8 probability of transitioning to the LEFT state again and a 0.2 probability of transitioning to the RIGHT state.
Transition matrix:
| LEFT | RIGHT |
---------------------------
LEFT | 0.8 | 0.2 |
---------------------------
RIGHT | 0.1 | 0.9 |
---------------------------
The transition matrix represents the transition probabilities between the states. Each element of the matrix represents the probability of transitioning from the row state to the column state.
If 55% of the electorate votes RIGHT one year, we can use the transition matrix to find the percentage of voters who vote RIGHT the next year.
Let's assume an initial distribution of [0.45, 0.55] for LEFT and RIGHT respectively (based on 55% voting RIGHT and 45% voting LEFT).
To find the percentage of voters who vote RIGHT the next year, we multiply the initial distribution by the transition matrix:
[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1] = [0.62, 0.38]
Therefore, the percentage of voters who vote RIGHT the next year would be approximately 38%.
To find the voter percentages in 10 years' time, we can repeatedly multiply the transition matrix by itself:
[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1]^10 ≈ [0.503, 0.497]
After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.
Interpretation: The results suggest that over time, the voter percentages will tend to approach an equilibrium point where the percentages stabilize. In this case, the percentages stabilize around 50% for both LEFT and RIGHT parties.
No, there will not be a steady state where the party percentages don't waiver. This is because the transition probabilities in the transition matrix are not symmetric. The probabilities of transitioning between the parties are different depending on the current state. This indicates that there is an inherent bias or preference in the voting behavior that prevents a steady state from being reached.
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This poster announces a special meeting. Who would have most likely put up this poster?
A. A plantation owner
B. A slave trader
C. A southern politician
D. An abolitionist
Answer:
an abolitionist
Step-by-step explanation:
a person who favors the abolition of a practice or institution, especially capital punishment or
Answer: D An Abolitionist
Step-by-step explanation:
a person who favors the abolition of a practice or institution, especially capital punishment or (formerly) slavery
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What is the y-intercept of the function f(x) = -2/9x + 1/3x?
Answer:
Step-by-step explanation:
Priya wants to transform the graph of f by stretching it horizontally by a factor of 5 . She says that an equation for her new function p in terms of f is p(x)=f(5x) which means p(x)=(5x)2+3 . Is Priya's equation correct?
Priya's equation for p(x) is not correct. The correct equation for horizontally stretching f(x) by a factor of 5 is\($$p(x) = f\left(\frac{x}{5}\right) = \left(\frac{x}{5}\right)^2 + 3 = \frac{x^2}{25} + 3$$\)
How transform the graph of f by stretching it horizontally by a factor made?We are given the original function $f(x)$ and the proposed new function p(x), which is obtained by horizontally stretching $f(x)$ by a factor of 5. The proposed equation for p(x) is:
p(x) = f(5x)
And we are also given a specific expression for $f(x)$:
\($$f(x) = x^2 + 3$$\)
To check whether Priya's equation for p(x) is correct, we need to substitute f(5x) with its expression in terms of $x$ and simplify:
\($$p(x) = f(5x) = (5x)^2 + 3 = 25x^2 + 3$$\)
So Priya's equation for p(x) is not correct. The correct equation for horizontally stretching f(x) by a factor of 5 is:
\($$p(x) = f\left(\frac{x}{5}\right) = \left(\frac{x}{5}\right)^2 + 3 = \frac{x^2}{25} + 3$$\)
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Find the x and y intercept of the line below
2x + 5y = 10
Answer:
x - intercept = 5
y- intercept = 2
Step-by-step explanation:
2x + 5y = 10
Write the equation in \(\frac{x}{a}+\frac{y}{b}=1\) form
So, divide the equation by 10
\(\frac{2x}{10}+\frac{5y}{10}=\frac{10}{10}\\\\\frac{x}{5}+\frac{y}{2}=1\)
x - intercept = 5
y- intercept = 2
Answer:
(5,0) and (0,2)
Step-by-step explanation:
Basically, all we need to do is enter 0 for both variables. We can do this because the y-value of an x-intercept will always be 0, and the x-value of a y-intercept will always be 0.
So, to find the x-intercept we can set y equal to 0 and then solve for x.
\(2x+5(0)=10\\2x=10\\x=5\)
So the x-intercept will be (5,0).
We can do the same thing to find the y-intercept.
\(2(0)+5y=10\\5y=10\\y=2\)
The y-intercept is (0,2)
Hope this helps!
A particle moves according to a law of motion s = f(t) = t³ - 15t + 63t, t ≥ 0 where t is measured in seconds and sin feet (a) Find the velocity at time t
(b) What is the velocity after 1 s?
(c) When is the particle at rest?
(d) WHen is the particle moving in the positive direction?
a) The velocity of the particle at any given time is v = 3t² - 15 ft/s.
b) The velocity of the particle after 1 second is v = 3(1)² - 15 = -12 ft/s.
c) The particle is at rest at t = √5 seconds.
d) The particle moves in the positive direction when t > √5 seconds.
Given the equation of motion s = t³ - 15t + 63t, we need to find the velocity of the particle at any given time, its velocity after 1 second, the instances when the particle is at rest, and when it moves in the positive direction.
The equation of motion gives us the position of the particle at any given time. To find the velocity of the particle, we need to differentiate the equation of motion with respect to time.
(a) The velocity of the particle is given by v = ds/dt. Differentiating s = t³ - 15t + 63t with respect to time, we get v = 3t² - 15. Therefore, the velocity of the particle at any given time is v = 3t² - 15 ft/s.
(b) To find the velocity of the particle after 1 second, we substitute t = 1 in the velocity equation. Therefore, the velocity of the particle after 1 second is v = 3(1)² - 15 = -12 ft/s.
(c) The particle is at rest when its velocity is zero. Therefore, we need to solve the equation 3t² - 15 = 0 to find the instances when the particle is at rest. Simplifying the equation, we get t = ±√5. Since time cannot be negative, the particle is at rest at t = √5 seconds.
(d) The particle moves in the positive direction when its velocity is positive. Therefore, we need to solve the inequality 3t² - 15 > 0 to find when the particle moves in the positive direction. Simplifying the inequality, we get t < -√5 or t > √5. Since time cannot be negative, the particle moves in the positive direction when t > √5 seconds.
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"What set of reflections would carry hexagon ABCDEF onto itself?. . Hexagon ABCDEF on the coordinate plane with pointA at negative 1, 1, pointB at negative 3, 1, pointC at negative 4, 2, pointD at negative 3, 3, pointE at negative 1, 3, and pointF at 0, 2. . .x-axis, y=x, x-axis, y=x .. y=x, x-axis, y=x, y-axis .. y-axis, x-axis, y-axis .. x-axis, y-axis, y-axis ."
A set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".
What is a combination of reflections?
Combination of Two Reflections. A point or object once reflected can further be reflected to form a new image. The axes of these reflections may be parallel to each other or they intersect each other at a point.
Given the coordinates of hexagon ABCDEF, it can be determined that a set of reflections that would carry the hexagon onto itself would be a combination of reflections over the x-axis and y-axis.
One possibility would be to reflect over the x-axis, then reflect over the y=x line, and finally reflect over the x-axis again.
This would take the hexagon from its original position to itself.
Another possibility would be to reflect over the y = x line, then reflect over the x-axis, and finally reflect over the y-axis.
This would also take the hexagon from its original position to itself.
Hence, a set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".
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help pleasseeeeeeeeee
Answer:
B, C, E, F
Step-by-step explanation:
the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model. t or f
True. the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model.
what is slope in statistics?The slope and intercept of a line reveal the steepness of the line and the location in which it intersects an axis. The slope and intercept of the logistic relationship of the two variables can be utilized to get the average change rate. The ratio of a change in the variable y to the rise in the x component is known as the the line's slope.
Briefing:Y = a + bX, where X seems to be the mediating variable and Y is the response variable, is the equation of a linear regression line. A is the intersection (the result of y for x = 0), and b is the line's slope.
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The formula for simple interest is I=Prt. please help
a. Solve the formula for t.
t=
Answer:
I=Prt
I/Pr=Prt/Pr
t=I/Pr
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susan has a new mountain bike. for each mile that she rides her bike, her front tire rotates one complete turn approximately 776.1 times.
a. If one mile equals 5280 feet, how many inches are in one mile? (3 points)
b. what is the circumference in inches of the front tire of susans bike?
c. what is the diameter in inches of the front tire of susans bike?
Answer:
A = 63,360 inches
B = 82
C = 82 divided by 776.1 = 13 so 13 x 2 = 26 which is your answer
Hope this helps! <3
what is the point slope intercept form of Y=2/3X -2 and the standard form? pls help asap
Answer: slope intercept is y=mx+b
standard form is Ax+By=C.
point slope form is y-y₁=m(x-x₁)
so y=2/3x+2 is slope intercept
Answer:
+Slope-intercept is... y=mx+b
+The standard form is... Ax+By=C.
+A point-slope form is... y-y₁=m(x-x₁)
+So... y= x+2 is... slope-intercept
❤ I hope this helps you, ma'am/sir/whatever your pronouns are! ❤
in multiple regression analysis, the correlation among the independent variables is termed _____.A) multicollinearityB) linearityC) adjusted coefficient of determinationD) homoscedasticity
In multiple regression analysis, the correlation among the independent variables is termed multicollinearity
Multicollinearity in a multivariate regression model refers to the correlations between two or more independent variables. Multicollinearity can lead to skewed or false results when a researcher or analyst attempts to determine how effectively each independent variable can be used to predict or understand the dependent variable in a specific statistical model.
It is the term which is generally used to describe the situation in which two or more explanatory variables in a multiple regression model have strong linear correlations with one another but not with the dependent variable. Many times, the creation of new dependent variables that are reliant on other variables can also result in multicollinearity.
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Please help me with this
Answer:
x = 23
Step-by-step explanation:
if line j is parallel to line k then
5x + 9 + 33 + x = 180 add like terms
6x + 42 = 180 subtract 42 from both sides
6x = 138 divide both sides by 6
x = 23
please help find the area of this shape give answer in two decimal places:))
Answer: 12pi + 140
Step-by-step explanation:
Area of the trapezoid: (1/2)(7)(16+24)=(20)(7)=140
Area of semicircle: (pi)(12)=12pi
So total area = 12pi + 140
is it proportional or non proportional
Answer:
Proportional
Step-by-step explanation:
It passes through (0,0) and is a completely linear line I hope this helps :))
Could someone please help with this question?
PLZZZ HELP ILL GIVE BRAINLIEST
The sequence is given. Part A: Assuming the pattern continues, list the next four terms in the sequence. Show all necessary math work. (4 points) Part B: Write the explicit equation for f (n) to represent the sequence. Show all necessary math work. (4 points) Part C: Is the sign of f (59) positive or negative
A. The next four terms in the sequence are 17, 20, 23, and 26.
B. f(n) = 2 + (n - 1) * 3
C. The sign of f(59) is positive.
Part A:
To determine the next four terms in the sequence, we need to identify the pattern. Let's denote the terms in the sequence as f(n), where n represents the position of the term.
Given that we have not been provided with the sequence explicitly, I will assume that you have a given sequence and will use it to illustrate the process.
Let's say the sequence is: 2, 5, 8, 11, 14, ...
To find the pattern, we observe that each term is obtained by adding 3 to the previous term. So, the common difference between consecutive terms is 3.
Next four terms:
f(5) = f(4) + 3 = 14 + 3 = 17
f(6) = f(5) + 3 = 17 + 3 = 20
f(7) = f(6) + 3 = 20 + 3 = 23
f(8) = f(7) + 3 = 23 + 3 = 26
Therefore, the next four terms in the sequence are 17, 20, 23, and 26.
Part B:
To write the explicit equation for f(n) to represent the sequence, we need to determine the initial term or f(1) and the common difference.
In the given sequence, the initial term is 2, and the common difference is 3. Therefore, we can express the explicit equation for the sequence as:
f(n) = 2 + (n - 1) * 3
Part C:
To determine the sign of f(59), we substitute n = 59 into the explicit equation we derived in Part B:
f(59) = 2 + (59 - 1) * 3
= 2 + 58 * 3
= 2 + 174
= 176
Since f(59) = 176, which is a positive value, the sign of f(59) is positive.
Assuming the pattern continues, the next four terms in the sequence are 17, 20, 23, and 26. The explicit equation for f(n) representing the sequence is f(n) = 2 + (n - 1) * 3. Lastly, the sign of f(59) is positive.
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Which of the following relations is a function?
A.
(-9, 2), (-4, 3), (5, 7), (9, 2)
B.
(9, -10), (-9, 7), (9, 6), (-9, 12)
C.
(-9, 0), (-4, 5), (-9, -3), (5, 9)
D.
(-4, -2), (-9, -5), (5, 8), (5, 2)
Answer:
A.
Step-by-step explanation:
There can only be one y-value for each x-value. For example: B could not be a function because (9,6) and (9, -10) share an x-value. This would be a relation, but not a function. The correct answer is A.
Find the GCF:
95, 145
Answer: 5
Step-by-step explanation:
Find the prime factorization of both these numbers:
95 = 5 * 19
145 = 5 * 29
The largest common factor is 5
whats the answer.......................
Answer:
D
Step-by-step explanation:
Cory is 5 times as far as kira. that makes it 5 times 5. tina is 5 times as far as cory. that makes it 5 times 5 times 5
For what values of b are the given vectors
orthogonal?
‹-7, b, 3›, ‹b, b2,
b›
b = (smallest value)
b =
b = (largest value)
The given vectors ‹-7, b, 3› and ‹b, b^2, b› will be orthogonal when their dot product is equal to zero. By calculating the dot product and setting it to zero, we can find the values of b that satisfy this condition.
The dot product of two vectors ‹a, b, c› and ‹d, e, f› is given by a*d + b*e + c*f. In this case, we have the vectors ‹-7, b, 3› and ‹b, b^2, b›. To find the values of b for which these vectors are orthogonal, we need to set their dot product equal to zero.
(-7 * b) + (b * b^2) + (3 * b) = 0
Simplifying this equation, we get -7b + b^3 + 3b = 0.
Combining like terms, we have b^3 - 4b = 0.
Factoring out the common factor of b, we get b(b^2 - 4) = 0.
Setting each factor equal to zero, we have two possible solutions:
1) b = 0
2) b^2 - 4 = 0, which leads to b = -2 or b = 2.
Therefore, the values of b that make the given vectors orthogonal are b = -2, 0, and 2, with -2 and 2 being the smallest and largest values respectively.
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Select the correct answer.
Which equation represents a line that is perpendicular to line PQ?
A line is graphed in an x y plane, where the x and the y axes range from negative 10 to 10 in increments of 2. The line falls through two closed points P (negative 8, 7), and Q (negative 4, negative 5).
A. y=3x-2
B. y=1/3x+4
C. y=1/3x-5
D. y=-3x+6
A perpendicular line to PQ must have a slope equal to 1/3, then the correct options are B and C.
Which equation represents a line that is perpendicular to line PQ?Two lines are perpendicular if the slope of one is equal to the opposite of the inverse of the other line's slope.
We know that PQ passes through (-8, 7) and (-4, 5), then the slope of PQ is:
\(s = \frac{-5 - 7}{-4 - (-8)} = -3\)
A perpendicular line to PQ must have a slope equal to:
\(s' = -(\frac{1}{-3} ) = (\frac{1}{3})\)
So we have two correct options (two lines with that slope) which are options B and C.
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