All Questions ⁺⁰237687 Questions

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154

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counting

A baking club wants to form an executive committee. There are people in the baking club, including mark. In how many ways can the baking club form an executive committee with people?

Guest Apr 3, 2023

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175

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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?
(c) What is the sum read more ..

Guest Apr 3, 2023

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159

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Geometry

Let B, A, and D be three consecutive vertices of a regular -gon. A regular heptagon is constructed on AB with a vertex C next to A Find angle BCD in degrees.

Guest Apr 3, 2023

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164

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The total length of a road trip was 15 hours. If highway signs are posted every 0.6 hours, including one at the end of the road trip, how ma

The total length of a road trip was 15 hours. If highway signs are posted every 0.6 hours, including one at the end of the road trip, how many highway signs will there be on the road trip?

Guest Apr 3, 2023

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157

1

+63

Polynomial help

Let f(x) = -7x^4 - 3x^2 + 2 and g(x) = 2x^4 -6x^2 + 2x - 1. Determine all of the following for f(x) * g(x):
Leading term:
Leading coefficient:
Degree: read more ..

youngwolf Apr 3, 2023

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163

2

+63

Exponential function problem

The graph of the exponential function f(x) is shown below. Find f(x).

youngwolf Apr 3, 2023

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166

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graphs of quadratic function

Guest Apr 3, 2023

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183

1

Help Pls

In triangle PQR, M is the midpoint of PQ. Let X be the point on QR such that PX bisects angle QPR, and let the perpendicular bisector of PQ intersect PX at Y. If PQ = 36, PR = 22, and MY = 8, then find the area of triangle read more ..

Guest Apr 3, 2023

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154

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HELPPPPP

When an adult has a headache, it is recommended they take 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. Which function models the amount of ibuprofen in mg is left after h hours? read more ..

Guest Apr 3, 2023

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150

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binomials

Help I need to use binomial theorem here
For some real number a and some positive integer n, the first few terms in the expansion of (1 + ax)^n are
1 + 10x + 150 x^2 + cx^3 + ...
Find c. read more ..

Guest Apr 3, 2023

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152

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geometry

Points X, Y, and Z are on the sides QR, PR, and PQ, respectively, of right triangle PQR such that PZXY is a square. If PQ = and PR = , then what is the side length of the square?

Guest Apr 3, 2023

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148

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Math

Evaluate �+(−�)−23w+(−x)−32w, plus, left parenthesis, minus, x, right parenthesis, minus, start fraction, 2, divided by, 3, end fraction where �=−59w=−95w, equals, minus, start fraction, 5, divided by, 9, end fraction and �=43x=34x, read more ..

Guest Apr 3, 2023

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147

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solve?

What is an equation of the line that passes through the points ( 2 , − 8 ) (2,−8) and ( 1 , − 7 ) (1,−7)?

Guest Apr 3, 2023

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171

1

3t -8=25

Guest Apr 3, 2023

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163

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geometry

In tetrahedron ABCO, angle AOB = angle AOC = angle BOC = 90^\circ. A cube is inscribed in the tetrahedron so that one of its vertices is at O, and the opposite vertex lies on face ABC. Let OA = 1, OB = 1, OC = 1. Show that the read more ..

Guest Apr 3, 2023

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151

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counting

In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may sit next to each other in the same row, but no child may sit directly in front of their sibling?

Guest Apr 3, 2023

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144

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Inequality

Prove that if a, b, and c are positive real numbers, then
sqrt(a^2 + ab + b^2) + sqrt(a^2 + ac + c^2) + sqrt(b^2 + bc + c^2) >= sqrt(3) (sqrt(ab) + sqrt(ac) + sqrt(bc))
When does equality occur?

Guest Apr 3, 2023

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149

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Probability

In the SuperLottery, three balls are drawn (at random, without replacement) from white balls numbered from 1 to 12, and one SuperBall is drawn (at random) from red balls numbered from 13 to 20. When you buy a ticket, you choose three numbers from 1 to 12, read more ..

Guest Apr 3, 2023

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126

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Geometry Question

In triangle $PQR,$ $M$ is the midpoint of $\overline{PQ}.$ Let $X$ be the point on $\overline{QR}$ such that $\overline{PX}$ bisects $\angle QPR,$ and let the perpendicular bisector of $\overline{PQ}$ intersect $\overline{PX}$ at $Y.$ If $PQ = 36,$ $PR read more ..

Guest Apr 3, 2023

Apr 2, 2023

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161

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geometry

Help with this geometry plz
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.
<read more ..

Guest Apr 2, 2023

+1

104

3

interest

What to do here
Chuck deposits $2000 into a bank account that compounds annually at an interest rate of . Assuming there are no other transactions, what will the balance be after years, in dollars?
Chuck read more ..

Guest Apr 2, 2023

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