09/17/20
Given the function below, find the domain of (f∘g)(x)
f(x)=1/13x−26g(x)=root2x+24How to find the domain
09/16/20
System of Equations
One equation in your system of equations is y=2x+1. What is the second equation of the system if your solution is (-2, -3).
09/16/20
Triangle Trigonometry
A boat on a lake measures an angle of elevation of 30degrees to the top of a cliff. The boat moves 1000ft closer to the cliff and measures an angle of elevation of 60degrees. How high above the...
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09/14/20
Assume that there are 9 girls and 10 boys in the neighborhood club, and a team of 5 is to be selected.
(1) How many different teams can be selected? (2) How many different teams can be selected if each team must contain exactly 2 girls and 3 boys? (3) How many different teams can be selected if each...
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09/14/20
Assume that you have a total of 16 people on the board: 4 out-of-state seniors, 5 in-state seniors, 2 out-of-state non-seniors, and 5 in-state non-seniors.
University rules require that at least one in-state student and at least one senior hold one of the three offices. Note that if individuals change offices, then a different selection exists.In how...
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Use the Intermediate Value Theorem to show that there is a solution of the given equation in the specified interval.
Use the Intermediate Value Theorem to show that there is a solution of the given equation in the specified interval.e^x=3-2x, (0, 1)
09/14/20
Probability Question
A computer breaks down 25% of the time and is operational 75% of the time. What is the smallest number of independent computers that must be running so that there is atleast a 99% chance that at...
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09/13/20
What is the probability?
Once a week, folks from Blacksburg, Greensboro, and Silver Spring get together for a game of pickup basketball. Every week, anywhere from one to five individuals will show up from each town, with...
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09/13/20
Find the horizontal and vertical asymptotes of the curve.
Find the horizontal and vertical asymptotes of the curve.
y = x2 − x
x2 − 6x + 5
x
=
y
=
09/13/20
Find the horizontal and vertical asymptotes of the curve.
Find the horizontal and vertical asymptotes of the curve.
y = 6x2 + x − 9
x2 + x − 12
x
=
(smaller x-value)
x
=
(larger x-value)
y
=
09/13/20
Probability of two people authenticating as the same person
Suppose that a system is designed to detect N different “features” of a fingerprint, and each of these features can take on D different values. Further, assume that for any given fingerprint these...
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Verify the inverse functions
f(x) = 8x-7 and h(x) = x+7/8Write simplified expressions for f(h(x)) and h(f(x)) in terms of x f(h(x)) = Answerh(f(x)) = AnswerAre functions f and h inverses? Yes or no
09/12/20
algebra problem
Express the fact that x differs from 5 by less than 2/3 as an inequality involving an absolutevalue. Solve for x.
09/12/20
algebra problem
Two bees leave two locations 210 meters apart and fly, without stopping, back and forthbetween these two locations of average speeds of 3m/s and 7m/s, respectively. How longis it until the bees...
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09/12/20
Consider the function f(x)=((x^2)/3)-6. In this problem you will calculate the integral from 0 to 4 by using the definition lim n approches infinity sigma...
Consider the function f(x)=((x^2)/3)-6.In this problem you will calculate the integral from 0 to 4 by using the definition lim n approches infinity sigma...The summation inside the brackets is Rn...
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09/12/20
Can someone help me with this Discrete Math Problem?
For the two numbers given below, which are rational, and which are irrational? Express those which are rational in the form p q with p, q ∈ Z. a. 0.a1a2a3..., where for n = 1, 2, 3, ..., the value...
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