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The area of a right triangle is 40m squared. One leg is 29.5 meters longer than the other. Find the lengths of the legs. The legs are meters in length.
Find the savings plan balance after 18 months with an APR of 9% and monthly payment of $300. At age 24?, someone sets up an IRA? (individual retirement? account) with an APR of 8?%.
what is the probability of getting someone who has been in a car accident?
given the function fx 6x 2 calculate the following valuesa f3b f3 hc f3
Find the largest open intervals on which the function is concave up or concave down. If there is more than one interval, enter your intervals from left to right as they appear on the real line.
Prove the one point rule- ∃-version: |- (∃x)(x = t Λ A) ≡ A[x:= t] if x is sot free in t. Prove |- (∃x)(A Λ (∃y)(B Λ C)) ≡ (∃y)(B Λ (∃x)(A Λ C)), on the condition that y is not free in A and x is not free in B
Solve the average cost function.
At a certain point in time the height is 15cm 1 and is increasing at the rate of 1cm/hr; the radius is 2cm and decreasing at the rate 10 cm/hr. Is 1 the volume (V = 3 r2 h) increasing or decreasing at this instant? At what rate?
Consider the crescent-shaped region between the circles x2 + y2 = 1 and (x - 0.5)2 + y2 = 2 as shown below. Find the centroid of the region
A heap of rubbish in the shape of a cube is being compacted into a smaller cube. Given that the volume decreases at a rate of 5 cubic meters per minute, find the rate of change of an edge, in meters per minute.
What is the significance of path independence? How does this relate to energy calculations?
Everyone who scores in the top 30% of the distribution gets a certificate. What is the lowest score someone can get and still earn a certificate?
the sale price of the luggage carloine bought was $1.60. the sales tax she paid was $8.80 what was the percent of the sales tax
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