All Questions ⁺⁰235578 Questions

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Help please

Lizzie came up with a divisibility test for a certain number :
Break a positive integer into two-digit chunks, starting from the ones place. (For example, the number would break into the two-digit chunks )
Find read more ..

Dysoncloud May 14, 2024

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14

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+964

Number Theory

What is the greatest prime factor of the sum of the arithmetic sequence 1 + 2 + 3?

Hi6942O May 14, 2024

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17

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Algebra

The product of two positive integers minus their sum is 39. The integers are relatively prime, and each is less than 2. What is the sum of the two integers?

Hi6942O May 14, 2024

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28

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+964

Algebra

Mark borrows 10 dollars from Emily with a simple interest rate of 25% everyday. What is the least integer number of days after which Mark will have to pay her back at least twice as much as he borrowed?

Hi6942O May 14, 2024

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23

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+964

Algebra

The first term of an arithmetic sequence is 2. The sum of the third and the sixth terms is 14. What is the third term?

Hi6942O May 14, 2024

+1

9

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+27

Counting Problem

How many ways are there to color the 4x4 grid so that each unit square is red, blue, green or yellow, and so that each unit square is the same color as exactly two of the unit squares that share a side with it?
Thanks in read more ..

colinqiu May 14, 2024

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15

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+964

Algebra

The second and fifth terms of an arithmetic sequence are 17 and -19, respectively. What is the eighth term?

Hi6942O May 14, 2024

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26

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+964

Geometry

The measures of angles A and B are both positive, integer numbers of degrees. The measure of angle A is a multiple of the measure of angle B, and angles A and B add up to 11 degrees. How many measures are possible for angle A?

Hi6942O May 14, 2024

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30

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Geometry

A sphere is inscribed in a cone with height 3 and base radius 4. What is the ratio of the area of the sphere to the area of the cone?

Hi6942O May 14, 2024

May 13, 2024

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19

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Algebra

Solve for m: 1/49*(4m - 2) = 7*(-10m - 2)

Hi6942O May 13, 2024

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19

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+964

Function

What is the period of y = (cos x)/2? (Give your answer in radians.)

Hi6942O May 13, 2024

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23

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+964

Polynomial

What is the degree of the polynomial (3x^2 + 11)*12?

Hi6942O May 13, 2024

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16

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+964

Coefficient

What's the coefficient of xy in the expansion of (3x + 3y + 3)^3?

Hi6942O May 13, 2024

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32

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Coefficient

What's the coefficient of the x^2 y^4 term in the expansion of (x + y)*6*(3x - 2y)*(5x + y)^4?

Hi6942O May 13, 2024

-1

27

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+1839

Geometry

What is the area of the region defined by the equation $x^2+y^2 - 7 = 4y-14x+2x-6y+3$?

ABJeIIy May 13, 2024

-1

22

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+1839

Geometry

For what value of $c$ will the circle with equation $x^2 - 10x + y^2 + 10y + c = 0$ have a radius of length 1?

ABJeIIy May 13, 2024

0

14

1

+1839

Expected Value

Suppose we have a bag with 10 slips of paper in it. Eight slips have a 3 on them and the other two have an 8 on them.
a) What is the expected value of the number shown when we draw a single slip of paper?
b) What is read more ..

ABJeIIy May 13, 2024

-1

23

1

+1839

Counting

In the Olympic women's skating competition, the gold medal goes to first place, silver to second, and bronze to third. If there are 19 skaters, including 2 Americans and 5 Canadians, in how many ways can the medals be awarded to three of the 19 skaters read more ..

ABJeIIy May 13, 2024

0

9

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+1234

Palindromes

A palindrome is a number that is the same when read forwards and backwards, such as 43234. Find the number of 4-digit palindromes that are divisible by 8.

Akhain1 May 13, 2024

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14

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+1234

Coordinates

In the diagram, the four points have coordinates $A(0,1)$, $B(1,3)$, $C(5,2)$, and $D(4.5,0)$. What is the area of quadrilateral $ABCD$?

Akhain1 May 13, 2024

0

11

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+1234

Coordinate geometry

Determine the coordinates of the point $P$ on the line $y=-x+6$ such that $P$ is equidistant from the points $A(10,-12)$ and $O(2,8)$ (that is, so that $PA=PO$). Express your answer as an ordered pair $(a,b)$.

Akhain1 May 13, 2024

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16

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+964

help algebra

Laverne starts counting out loud by 5's. She starts with 2. As Laverne counts, Shirley sums the numbers Laverne says. When the sum finally exceeds 100, Shirley runs screaming from the room. What number does Laverne say that sends read more ..

Hi6942O May 13, 2024

0

14

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+964

help algebra

Let a1, a2, a3, ..., a10 be an arithmetic series. If a1 + a3 = -2 and a2 + a4 + a6 = 1, then find a1.

Hi6942O May 13, 2024

0

18

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+964

Algebra

Let a1, a2, a3, ... be an arithmetic sequence. Let Sn denote the sum of the first n terms. If S_5 = 1/5 and S_10 = 1/10, then find S_15.

Hi6942O May 13, 2024

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