All Questions ⁺⁰236088 Questions

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+1475

Question on Cone

The circular sector below is rolled to form a cone. Find the volume of the cone.

kittykat Jan 9, 2024

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41

1

+1475

Cone and Cylinder

Let $A$ be the lateral surface area of the cone below, and let $B$ be the lateral surface area of the cylinder below. Find $\frac{A}{B}.$
read more ..

kittykat Jan 9, 2024

Jan 8, 2024

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18

1

+1475

Cone

The cone below has a lateral surface area of $16 \sqrt{5} \cdot \pi$. Find the volume of the cone.

kittykat Jan 8, 2024

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27

1

+1475

Solid

Triangle $ABC$ below is rotated completely around side $\overline{BC}$, sweeping out a solid in space. Find the volume of the solid. read more ..

kittykat Jan 8, 2024

0

38

1

+1475

Sphere

A spherical ball fits snugly inside a cylindrical jar, so that the ball touches the top and bottom of the jar, and the sides of the jar. The volume of the cylinder is $144 \pi.$ What is the total surface area of the cylinder?

kittykat Jan 8, 2024

0

36

0

+1475

Sphere

A plane and a sphere intersect in a circle. The circle has an area of $14 \pi$. The radius of the sphere is $5$. Find the surface area of the spherical caps. read more ..

kittykat Jan 8, 2024

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45

1

+1475

Cylinder

The rectangle below is wrapped around a cylinder with height $10$. The rectangle perfectly covers the curved surface of the cylinder without overlap. What is the volume of the cylinder?

kittykat Jan 8, 2024

-1

33

1

+1520

Quadratic

Find the largest integer $k$ such that the equation
5x^2 - kx + 8 - 12x^2 + 87 = 0
has no real solutions.

blackpanther Jan 8, 2024

-1

49

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+1520

Discriminant

Find the discriminant of the quadratic $5x^2 - 2x + 8 - 4x^2 + 16x + 23.$

blackpanther Jan 8, 2024

-1

32

0

+1520

Roots

The roots of Ax^2+Bx+1 are the same as the roots of x^2 - 3x - 1. What is A+B?

blackpanther Jan 8, 2024

+1

34

2

+25

help asap

Consider the two expressions and
a) Show that the two expressions represent equal numbers when
b) Explain why these two expressions do not represent equal numbers when
c) Show that these two expressions represent read more ..

icecreamchocolate Jan 8, 2024

0

19

2

+15

Graph the solution to the inequality.

Graph the solution to the inequality.
-7√ x-1<-14
Select the correct symbol and plot the solution to the inequality on the number line.
Ok, so they gave me a number line from numbers -2 to 10 and some symbols read more ..

wilmaaaa Jan 8, 2024

-1

33

0

+1520

Equation

Find all the solutions to
\[\frac{x+4}{x+5} = \frac{x-3}{2x} + \frac{x + 7}{x - 1}.\]

blackpanther Jan 8, 2024

-1

30

1

+1520

Complex roots

The solutions to
2x^2 - 10x + 13 = -5x^2 - 14x - 23
are $a+bi$ and $a-bi,$ where $a$ and $b$ are positive. What is $a\cdot b?$

blackpanther Jan 8, 2024

-1

58

1

+1520

quadratic

Find all the solutions to $x^2 + 6x + 13 = 2x + 8x + 21.$

blackpanther Jan 8, 2024

-1

42

2

+1520

help with quadratic

Find the constant $k$ such that the quadratic $2x^2 + 3x + 8x + k - x^2 + 20x$ has a double root.

blackpanther Jan 8, 2024

-1

44

2

+1520

quadratic

Find the constant $p$ such that $x^2 - 5x - 2x + 3x^2 - 11x + p$ is the square of a binomial.

blackpanther Jan 8, 2024

+1

41

1

+290

Question

If 1 ≤ a ≤ 10 and 1 ≤ b ≤ 36, for how many ordered pairs of integers (a,b) is √ (a + √ b) an integer?

DS2011 Jan 8, 2024

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26

2

+81

13! seconds

Starting at 12:00:00 AM on January 1, 2022, after 13! seconds it will be y years (including leap years) and d days later, where d<365. Find y+d.

moneydude242 Jan 8, 2024

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