All Questions ⁺⁰234661 Questions

0

8

0

+2651

Algebra

One ordered pair $(a,b)$ satisfies the two equations $ab^4 = 48$ and $ab^3 = 24$. What is the value of b in this ordered pair?

LiIIiam0216 Jul 12, 2024

0

4

1

+355

Microwaves

What is the power of a 900-watt microwave when measured in zaps?

Lilliam0216 Jul 12, 2024

0

8

0

+2651

Number Theory

A school orders $99$ textbooks, all for the same price. When the bill for the total order comes, the first and last digits are obscured. What are the missing digits?
$_5801.3_

LiIIiam0216 Jul 12, 2024

0

6

0

+2651

Number Theory

The number $N$ is a multiple of $7$. The base $2$ representation of $N$ is
111100111010001ABC01_2.
Compute $A,$ $B,$ and $C$.

LiIIiam0216 Jul 12, 2024

0

7

0

+2651

Number Theory

Find a six-digit multiple of $64$ that consists only of the digits $2$ and $4$.

LiIIiam0216 Jul 12, 2024

0

12

0

+2651

Number Theory

Find the inverse of $3$ modulo $10271$.

LiIIiam0216 Jul 12, 2024

0

8

0

+2651

Number Theory

Find the inverse of $8$ modulo $371.$

LiIIiam0216 Jul 12, 2024

0

5

1

+2651

Number Theory

Find the inverse of $7$ modulo $22$.

LiIIiam0216 Jul 12, 2024

0

10

0

+1212

Geometry

A line and a circle intersect at $A$ and $B,$ as shown below. Find the distance between $A$ and $B$.
The line is x = 4, and the equation of the circle is x^2 + y^2 = 25.

Akhain1 Jul 12, 2024

0

10

0

+1212

Geometry

Let $k$ be a positive real number. The line $x + y = 3 + k$ and the circle $x^2 + y^2 = k$ are drawn. Find $k$ so that the line is tangent to the circle.

Akhain1 Jul 12, 2024

0

4

0

+1212

Geometry

Two circles intersect at two points, $P$ and $Q$. The equations of the two circles are $x^2 + (y - 1)^2 = 1$ and $(x - 1)^2 + y^2 = 1$. Find the length PQ.

Akhain1 Jul 12, 2024

Jul 11, 2024

0

4

1

+772

Algebra

The roots of Ax^2+Bx+1 are the same as the roots of (x - 2)(x + 2). What is A+B?

RedDragonl Jul 11, 2024

0

1

1

+772

Algebra

Find all the solutions to
\frac{x+4}{x+5} = \frac{x-3}{2} + \frac{x + 7}{5}

RedDragonl Jul 11, 2024

0

5

1

+772

Algebra

The solutions to
2x^2 - 10x + 13 = -6x^2 - 18x - 15
are a+bi and a-bi, where a and b are positive. What is a\cdot b?

RedDragonl Jul 11, 2024

0

12

0

+772

Algebra

The quadratic equation $x^2-mx+24 = 10$ has roots $x_1$ and $x_2$. If $x_1$ and $x_2$ are integers, how many different values of $m$ are possible?

RedDragonl Jul 11, 2024

0

5

1

+4

Solve each equation if 0≤x<360

I am doing a practice exam for my classes midterm and got stuck on these questions.
sinx=
The answers that they provide for this question are 240° and 300°. I don't know how to get there though. The way I am solving read more ..

gbeans44 Jul 11, 2024

0

2

3

+355

Temperature

At what numerical value do the Kelvin and Fahrenheit scales have the same temperature? Answer with a decimal with 5 digits after the dot.

Lilliam0216 Jul 11, 2024

0

2

2

+673

Algebra

Find the largest integer k such that the equation 5x^2 - kx + 8 - 2x^2 + 25 =0 has no real solutions

magenta Jul 11, 2024

0

4

2

+673

Algebra

Find the discriminant of the quadratic 5x^2 - 2x + 8 - 2x^2 + 6x + 2.

magenta Jul 11, 2024

0

4

6

+42

I don't know, maybe it's because of the heat... can't solve this one

The harmonic mean of two positive integers is the reciprocal of the arithmetic mean of their reciprocals. For how many ordered pairs (x, y) of positive integers is the harmonic mean of x and y equal to 20? 🍺

●●●●●●

threepointonefourone Jul 11, 2024

0

10

0

+868

Geometry

In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$
PQ = 5, PR = 8, QR = 11

Rangcr897 Jul 11, 2024

0

6

2

+868

Geometry

In right triangle $ABC,$ $\angle C = 90^\circ$. Median $\overline{AM}$ has a length of 1, and median $\overline{BN}$ has a length of 1. What is the length of the hypotenuse of the triangle?

Rangcr897 Jul 11, 2024

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