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what is the linear equation of the graph with the slope of 5 and the line passes through the coordination (8;11)
In Progress...
convert 5/13 into a recurring decimal using long division
In Progress...
h= -t(t - 6)

Can you show the working out please?
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1. What is the 50th smallest positive integer that can be written as the sum of distinct powers of 3 with non-negative integer exponents?
2. How many positive integers n≤1000 cannot be written in the form a^2−b^2−c^2 where a,b and c are non-negative integers subject to a≥b+c?
3. Let 3^a be the highest power of 3 that divides 1000!. What is a?
4. We define n♡ recursively as follows.
1♡=1; n♡=((n−1)♡)⋅n+1
Find the largest n<1000 such that the last two digits of n♡ are zeroes.
5. How many integers appear in both of the following arithmetic progressions:
A1:2,9,16,..., 2+(1000−1)×7
A2:3,12,21,..., 3+(1000−1)×9
In Progress...
Suppose that, at a certain point, the pressure in a 500 cm3 piston chamber is 200 kPa, and rising at a rate of 10 kPa/second. At what rate is the volume decreasing?
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The point A(-6, -5) is translated using T: (x,y) → (x + 4, y + 6).

What is the distance from A to A'?

A regular hexagon has sides of 5 feet. What is the area of the hexagon?

Joshua makes 6.25 per hour making sundaes at Diary Kwik. Last week, he made $261 including tips. How many hours did Joshua work?

Rhonda Brennan found her first job after graduating from college through the classifieds of the Miami Herald. She was delighted when the offer came through at $16.70 per hour. She completed her W-4 stating that she is married with a child and claims an allowance of 1. Her company will pay her biweekly for 80 hours (assume a tax rate of 6.2% on $106,800 for Social Security and 1.45% for Medicare).

Calculate her take-home pay for her first check.
In Progress...
Two eight-sided number cubes are thrown. Given that one of the cubes shows a three, what is the probability that the sum of the numbers that come up on the two cubes is nine?
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