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All Questions
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230626 Questions
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77
1
Algebra
For non-negative integers a and b, where a and b are both greater than or equal to 2, simplify the following:
(a + b)/2 - a/2 - b/2
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Guest
Mar 12, 2023
0
72
0
stats
A list of ten distinct, positive integers has a median of 5.5. What is the smallest possible average of the ten positive integers? Explain your ansswer in complete sentences.
Guest
Mar 12, 2023
0
70
0
geometry
In triangle ABC, the angle bisector of angle BAC meets AC at D. If angle BAC = 60, angle ABC = 60, and AD = 24, then find the area of triangle ABC.
Guest
Mar 12, 2023
0
73
0
Geometry
Help with parallelogram
In the diagram below, PQRS is a parallelogram with a perimeter of 26 and an area of 28. What is the perimeter of rectangle OSTQ? Include an explanation of how you solved the problem.
<
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Guest
Mar 12, 2023
0
65
0
Counting
Sam writes down the numbers 1, 2, 3, ..., 99
(a) How many digits did Sam write, in total?
(b) Sam chooses one of the digits written down, at random. What is the probability that Sam chooses a 0?
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Guest
Mar 12, 2023
0
72
0
geometry
How do you do triangle stuff
Triangle ABC is a right triangle with angle BAC= 90 degrees and angle B > angle . Suppose AP is an altitude of the triangle, AQ is an angle bisector of the triangle, and AR is a median
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Guest
Mar 12, 2023
0
73
0
Exponential functions
Plz help with this
Select all the correct statements. (For this problem, we assume that an exponential function is of the form ka^x where a > 0)
read more ..
Guest
Mar 12, 2023
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67
0
Probability
I need to compute probability
A member of the junior varsity swim team will be elected as President. Each member is equally likely to be elected. The probability that a sophomore is elected is the probability
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Guest
Mar 12, 2023
0
77
0
counting
Help I need to count this
Catherine rolls a standard 6-sided die five times, and the product of her rolls is . How many different sequences of rolls could there have been? (The order of the rolls matters.)
Guest
Mar 12, 2023
0
73
0
Expected value
In a series of coin flips, a run is a series of consecutive coin flips that are all the same. For example, in the sequence
the red letters form a run.
If a fair coin is flipped two times, what is the expected length of the longest run?
read more ..
Guest
Mar 12, 2023
0
80
1
Algebra
For a certain value of k, the system
x + y + 3z = 10
-4x + 8y + 5z = 7
kx + z = 3
read more ..
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Guest
Mar 12, 2023
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81
0
Counting
I need help here plz
Three adults and three children are to be seated at a circular table. In how many different ways can they be seated if each child must be next to at least one adult? (Two seatings are considered
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Guest
Mar 12, 2023
0
65
0
Graphing
The graph of y = f(x) is shown below.
For each point (a,b) that is on the graph of y = f(x), the point ((a - 7)/2, (3b + 1)/4) is plotted, forming the graph of another function y = g(x). As an example, the point
read more ..
Guest
Mar 12, 2023
0
72
0
help plz
If w =8 i +5 j , what is the magnitude of 4 w ?
Guest
Mar 12, 2023
0
67
0
Counting
Help plz with counting
Find the number of ways of arranging the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 in a row so that the product of any two adjacent numbers is even or a mutliple of 3
Guest
Mar 12, 2023
0
73
0
sum of a function
y=(1+8x²) ÷(2x³)
how do i resolve this
Guest
Mar 12, 2023
0
72
0
Parametric equations
Plz help with parametric equations
The position of a particle is given by the parametric equations
x = 1 + sin pi*t - cos pi*t
read more ..
Guest
Mar 12, 2023
0
68
0
Algebra
Carissa the chessplayer is a very, very slow walker. In fact, she walks at 100 meters per hour when walking uphill, 180 meters per hour when walking across flat ground, and 250 meters per hour when walking downhill. One day, Carissa walks
read more ..
Guest
Mar 12, 2023
0
74
0
Probability
How this work
We define a bow-tie quadrilateral as a quadrilateral where two sides cross each other. An example of a bow-tie quadrilatera is shown below. distinct points are chosen on a circle. We draw all
read more ..
Guest
Mar 12, 2023
0
81
0
precalc
In triangle PQT, R is on side PT such that QR = QP. Also, QS is an altitude, and QT = 10. The values of tan QTS, tan QRS, tan SQT form an arithmetic progression, and the values of cot SQT, cot RQT, cot SQR form a geometic progression.
read more ..
Guest
Mar 12, 2023
0
70
0
counting
You are given the 4 x 4 grid below.
(a) Find the number of ways of placing 8 counters in the squares (at most one counter per square), so that each row contains exactly two counters.
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Guest
Mar 12, 2023
0
95
8
+1124
Sigma
Hi friends,
I have stumbled upon a problem which I believe is not solveable, am I doing something wrong or is it one of those sums?
read more ..
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juriemagic
Mar 12, 2023
0
75
0
Polynomial
Find a polynomial f(x) of degree 5 such that both of these properties hold:
* f(x) is divisible by x^3
* f(x) + 1 is divisible by (x + 1)(x + 2)(x + 3)
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Guest
Mar 12, 2023
0
64
0
Inequality
Let a, b, and c be nonnegative real numbers. Prove that for all x >= 0,
(x + abc)^3 >= abc(x + a)(x + b)(x + c) >= (x + a + b + c)^3.
Guest
Mar 12, 2023
0
70
0
Algebra
Let r be a root of x^3 - 2x + 5 = x^3 - x^2 + 9. Show that none of r, r^2, or r^3 is irrational.
Guest
Mar 12, 2023
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