6,938 Answered Questions for the topic mathematics
Find the area of The Definite Integral and The Fundamental Theorem of Calculus
Image- https://imgur.com/Hksu2LAFind the area of the shaded region under the curve, y=2x-x2 .Find the area under the curve y = 4 which is bounded from x = -1 to x = 2. Find the area of the region...
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05/17/22
(a) state the null and alternative hypothesis, (b) select and compute the test statistic, (c) determine the critical value and the rejection region, and (d) draw a conclusion.
Direction: In the following problem, (a) state the null and alternative hypothesis, (b) select and compute the test statistic, (c) determine the critical value and the rejection region, and (d)...
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Mathematics
05/16/22
math statistics
The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $9 each and will sell 500 tickets. There is one $1,000 grand prize, four $400 second prizes,...
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05/16/22
How to find Mod of a large number (Fermat's Little Theorem)
How do you find the modulus of a large number? For example:12345678901234567890^{98765432109876543210} mod 1234567?or 38232701^2897310 mod 11What does this have to do with Fermat's little theorem
Mathematics
05/16/22
3 Pairs of pants
Terry has 3 pairs of pants: black, khaki, and brown, and 4 shirts: yellow, red, blue, and white. He does not care which colors he wears together. If Terry chooses one pair of pants and one shirt...
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Fundamental Theorem for Line Integrals
Find the work done in moving a particle along a curve from point A(1, 0, −1) to B(2, 2, −3) via the conservative force field ~F (x, y, z) = 〈2y3 − 6xz, 6xy2 − 4y, 4 − 3x2〉.(a) using the Fundamental...
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A particle moves in a straight line with velocity t-2 - (1/25) ft/s. Find the net displacement and total distance traveled over the time interval [3,6].
A particle moves in a straight line with velocity t-2 - (1/25) ft/s. Find the net displacement and total distance traveled over the time interval [3,6].Displacement: ? ft.Distance: ? ft.
Optimization Calculus Problem (Please help)
A landscape architect is designing an 5130 square foot, rectangular garden. The perimeter of the garden is to be lined with shrubbery on three sides, which costs $48 per foot, whereas the fourth...
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Follow the procedure and answer the following questions.
Procedure:• Draw a Cartesian Plane ( Use a scale of 1 centimeter)• Plot the graph of the parabola (x-1)²= -16(y-4) on the Cartesian Plane• Divide the bounded region between the graph...
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Mathematics
05/13/22
8.25 for 1 1/2 pounds of coffee beans
Mathematics
05/12/22
Let D{4,7,9}, E{4,6,7,8} and F{3,5,6,7,9}.
Mathematics Math
05/12/22
Parallel and perpendicular lines
What is the equation of the line written in slope-intercept form that passes through thepoint (-1, -6) and is perpendicular to the line y + 6 = - 1/4 (x - 9)?
Graph the following function by applying transformation to f(x) = sin x. State the amplitude, period, phase shift, and vertical shift.
Graph the function by applying transformation to f(x) = sin x.State the amplitude, period, phase shift, and vertical shift.Please show all work in a neat and organized manner. Thank you! :D
Suppose a bike wheel has a diameter of 80 cm and the rider completes one cycle in 0.8 s. What is the speed of the bike in m/s?
Suppose a bike wheel has a diameter of 80 cm and the rider completes one cycle in 0.8 s. What is the speed of the bike in m/s?Please submit your answer in a neat and organized way. Thank you! :D
Suppose a nail is stuck in the tire of a bike wheel with a diameter of 65 of cm. Let H(t) be the height of the nail, in cm, after t seconds of travel.
Suppose a nail is stuck in the tire of a bike wheel with a diameter of 65 cm. Let H(t) be the height of the nail, in cm, after t seconds of travel.Determine the equation of the axis and explain...
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05/12/22
Calculate (1) how high it goes, (2) how long the ball is in the air, (3) how much time it takes for the ball to reach the maximum height,
A person throws a ball upward into the air with an initial velocity of 15 m/s withan acceleration of -9.8m/s2. Calculate (1) how high it goes, (2) how long theball is in the air, (3) how much time...
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05/12/22
If the population was 200,000 bacteria when observations began, what will the population be 12 hours later?
Answer the given problem.The population P(t) of a bacterial colony t hours after observation begins isfound to be changing at the rate dp/dt=200e0.1t+150e-0.03t. If the populationwas 200,000...
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Use summation identities to rewrite the given expression without using summation notation.
n∑ i(i-9)i=1 n3
Mathematics
05/12/22
Determine the constant and variables in each algebraic expression. 10b + c
Determine the constant and variables in each algebraic expression.10b + c
Illustrate and answer the following.
Procedure:• Draw a Cartesian Plane ( Use a scale of 1 centimeter)• Plot the graph of the parabola (x-1)²= -16(y-4) on the Cartesian Plane• Divide the bounded region between the graph...
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The function models the number of accidents, f(x), per 50 million miles driven as a function of a driver's age, x, in years, where x includes drivers from ages 16 through 74, inclusive.
The function models the number of accidents, f(x), per 50 million miles driven as a function of a driver's age, x, in years, where x includes drivers from ages 16 through 74, inclusive. The...
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The height a ball bounces is less than the height of the previous bounce due to friction. The heights of the bounces form a geometric sequence.
The height a ball bounces is less than the height of the previous bounce due to friction. The heights of the bounces form a geometric sequence. Suppose a ball is dropped from one meter and rebounds...
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In March, a family starts saving for a vacation they are planning for the end of August. The family expects the vacation to cost $1327.
In March, a family starts saving for a vacation they are planning for the end of August. The family expects the vacation to cost $1327. They start with $120. At the beginning of each month, they...
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An amphitheatre has 20 seats in the first row, 24 in the second, 28 in the third, and so on, for 29 rows. How many seats are in the amphitheatre?
An amphitheatre has 20 seats in the first row, 24 in the second, 28 in the third, and so on, for 29 rows. How many seats are in the amphitheatre?
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