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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)

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convert 5/13 into a recurring decimal using long division

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h= -t(t - 6)

Can you show the working out please?

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

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

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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'?

What is the distance from A to A'?

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

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

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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.

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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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