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Question 1131013: A man leaves his office and walks 50km in the direction North 30 degrees East. How far east is the man from his starting point?
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Question 1132179:
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Question 1133347:
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Question 1133883: sara bought ice cream cones for each of her friends. She paid $3 for each ice cream cone. Suppose she had $18 left. Write and solve an equation to find out how much money sara had initially to spend on each friend
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Question 1135509: A shipment of 102 laptops contains 10 defective laptops. A quality control specialist chooses a sample of 8 laptops from the shipment.
a) How many possible choices of 8 laptops can be made?
b) How many of these possible selections will not contain any defective laptops?
c) How many of the possible selections will contain at least one defective laptop?
d) How many of the possible selections will contain exactly one defective laptop?

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Question 1143013: If tan α = x tanβ and sin α = y sin β, then cos^2α is.
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Question 1143664: The position of an object at time t is given by s(t) = -4 - 2t. Find the instantaneous velocity at t = 6 by finding the derivative
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Question 1147110: The diagram below models the layout at a carnival where G, R, P, C, B, and E are various locations on the grounds. GRPC is a parallelogram.
Part A: Identify a pair of similar triangles.
Part B: Explain how you know the triangles from Part A are similar.
Part C: Find the distance from B to E and from P to E. Show your work.

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Question 1147119: use the digits to make two 5 digits numbers and subtract one from the other to get an answer of or as close as possible to 12345 . In the two sets of five digits numbers
1. Writing a number sentence?
2. showing your calculations?

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Question 1148148: The IQ test scores of adults are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability that the mean IQ score in a random sample of 50 adults will be more than 95?
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Question 1149907: Consider the function ℎ(𝑥) = (1 + sin 𝜋𝑥)
𝑔(𝑥)
. Suppose 𝑔(1) = 2 and 𝑔

(1) = −1. Find
ℎ′(1).

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Question 1151520: 3,5,
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Question 1153261: Find f[g(x)] if f(x)=x^2+3 and g(x)=-x+1
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Question 1153262: Find the inverse of f(x)=3x-5/2
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Question 1153262: Find the inverse of f(x)=3x-5/2
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Question 1153265: The area of a rectangle is represented as 3x^2+5x-2 find algebraic equation to represent the dimensions of the rectangle
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Question 1153265: The area of a rectangle is represented as 3x^2+5x-2 find algebraic equation to represent the dimensions of the rectangle
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Question 1154106: What ate the soft and hard notion of community participation in citizen education

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Question 1154819: What are all the possible rational roots for: f(x) = x^3 + 2x^2 + 19x − 20?
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Question 1154823: Write a polynomial function that has the given zeroes 0, -1, and 3i.
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Question 1154818: What is the remainder of (x^3− 2x^2 + 4x − 3) ÷ (x − 1)?
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Question 1154821: What are all the zeroes for 2x^4 + 13x^3 + 22x^2 + 8x = 0 if -2 is one of the zeroes?
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Question 1154822: What are the rational zeroes for f(x) = x^3 − 2x^2 − x + 2?
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Question 1154817: Use factor theorem ad synthetic division to determine which if the following is/are a factor of:
x^3 − 2x^2 + 3x − 6
A) x − 2 B) x + 1 C) x − 1 D) x + 2

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Question 1154824: Given f(x) = 3x + 5x^2 − 2 − x^3 do each of the following:
A) Write it in standard form.
B) State its degree
C) Identify the type (even/odd)
D) What is the leading coefficient?
E) How many roots are there?
F) Describe the end behaviors x→ -∞, f(x)→_______ and as x→∞, f(x)→ _______

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Question 1154824: Given f(x) = 3x + 5x^2 − 2 − x^3 do each of the following:
A) Write it in standard form.
B) State its degree
C) Identify the type (even/odd)
D) What is the leading coefficient?
E) How many roots are there?
F) Describe the end behaviors x→ -∞, f(x)→_______ and as x→∞, f(x)→ _______

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Question 1154820: Use Descartes rule of signs to find the possible positive, negative, and imaginary zeroes for:
x^5 − 3x^4 + x^3 − 4x^2 + 5x − 1

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Question 1154820: Use Descartes rule of signs to find the possible positive, negative, and imaginary zeroes for:
x^5 − 3x^4 + x^3 − 4x^2 + 5x − 1

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Question 1155765: 5√32 + √27 + 2√75
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Question 1155764: 5√2x ∙ 3√6x
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Question 1155772: 5√32 + √27 + 2√75
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Question 1155769: −√225a^16b^36
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Question 1155773: ^6√d^24x^36
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Question 1155773: ^6√d^24x^36
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Question 1157218: log2(x + 1) + log2(x + 2) = log2 6
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Question 1157217: log4(y + 3) − log4(y − 1) = log4 3
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Question 1157216: 5 log4 x − 3log5 2 −log5 y
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Question 1157215: 3 log x + 1/2 log y − 3 log z
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Question 1157214: 2loga x + 4 loga y
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Question 1157853: I = $14,400
R= 8%
T=30 years
Find P.

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Question 1158862: What number completes the puzzle?
5,7,11,13,17,?

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Question 1158937: How many positive zeros does f(x)= x^5-2x^4-3x^3+x^2+x-1 have?
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Question 1161443: At a certain time of day, a tree that is x meters tall casts a shadow that is x−21 meters long. If the distance from the top of the tree to the end of the shadow is x+3 meters long, what is the height, x, of the tree?
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Question 1161861: A hair breaks under a tension of 1.1 N. What is the diameter of the hair? The tensile strength is 2.0 ✕ 10^8 Pa.
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Question 1161860: A hydraulic lift is lifting a car that weighs 14 kN. The area of the piston supporting the car is A, the area of the other piston is a, and the ratio A/a is 101.7. How far must the small piston be pushed down to raise the car a distance of 1.2 cm? [Hint: Consider the work to be done.]
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