All Questions ⁺⁰230870 Questions

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Three standard $6$-sided dice are colored magenta, yellow, and cyan. In how many ways can these dice be rolled so the numbers on the faces s

Three standard -sided dice are colored magenta, yellow, and cyan. In how many ways can these dice be rolled so the numbers on the faces sum to a total of ? (The dice are distinguishable, so a magenta yellow and cyan is read more ..

froagt Aug 30, 2023

0

36

1

In quadrilateral , sides and have equal length and are parallel to each other. Point is the intersection of the

In quadrilateral , sides and have equal length and are parallel to each other. Point is the intersection of the diagonals and How many pairs of congruent triangles are in the figure? (The read more ..

Guest Aug 30, 2023

0

22

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help with circles

Right triangle $ABC$ has $AB = AC = 6$ cm. Circular arcs are drawn with centers at $A, B$ and $C,$ so that the arc centered at $A$ is tangent to side $BC$ and so that the arcs centered at $B$ and $C$ are tangent to the arc centered at $A,$ as shown. What read more ..

Guest Aug 30, 2023

0

38

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help with rates

All members of our painting team paint at the same rate. If $20$ members can paint a $2000$ square foot wall in $35$ minutes, then how long would it take the $20$ members to paint a $5000$ square foot wall, in minutes?

Guest Aug 30, 2023

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34

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roots

The quadratic equation $8x^2+12x-14 = 6x^2 - 4x$ has two real roots. What is the sum of the squares of these roots?

Guest Aug 30, 2023

0

30

1

parabola

A parabola with equation $y=ax^2+bx+c$ has a vertical line of symmetry at $x=2$ and goes through the two points $(1,1)$ and $(4,-9)$. The quadratic $ax^2 + bx +c$ has two real roots. The greater root is $\sqrt{n}+3$. What is $n$?

Guest Aug 30, 2023

0

27

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inequality

If $-6\leq a \leq -2$ and $3 \leq b \leq 5$, what is the greatest possible value of $\frac{a + 1/b}{a - 1/b}$? Express your answer as a common fraction.

Guest Aug 30, 2023

0

25

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integer roots

Find the sum of all integral values of $c$ with $c\le 25$ and $c\ge1$ for which the equation $y=x^2-17x-c$ has two integral roots.

Guest Aug 30, 2023

0

32

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quadratic equations

The quadratic equation $x^2-5x+t =3x$ has only positive integer roots. Find the average of all distinct possible values of $t$.

Guest Aug 30, 2023

0

24

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newton second law

How much force is required to accelerate a 0.142 kg baseball to 44.7 m/s during a pitchers 1.5 meter delivery?

Guest Aug 30, 2023

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39

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algebra

If $(10 - x)(x - 2) = 11$, then compute $(10 - x)^3 + (x - 2)^3$.

Guest Aug 30, 2023

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34

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prism

The pattern, shown, is folded along the dashed lines to make a right triangular prism. What is the volume, in cubic units, of the triangular prism? read more ..

Guest Aug 30, 2023

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+819

help plz

I cant solve this it's hard
Solve the inequality
\[\dfrac{x+1}{x+2}>\dfrac{3x+4}{2x+9}+\dfrac{1}{3}.\]

maximum Aug 30, 2023

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30

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The equation $x^3 + 8x^2 - 4x + c = 0$ has three roots, one of which is the sum of the other two. What is $c$?

The equation has three roots, one of which is the sum of the other two. What is ?

Guest Aug 30, 2023

0

28

1

quadratic

The quadratic equation $3x^2+4x-9 = 2x^2-6x+1$ has two real roots. What is the sum of the squares of these roots?

Guest Aug 30, 2023

0

30

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cone

The truncated right circular cone below has a large base radius $8$ cm and a small base radius of $4$ cm. The height of the truncated cone is $10$ cm. The volume of this solid is $n \pi$ cubic cm, where $n$ is an integer. What is $n$? read more ..

Guest Aug 30, 2023

0

23

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cones

A cone is generated by rotating triangle $ABC$ around side $\overline{AB}$. Its total surface area is $\pi$ times what number?

Guest Aug 30, 2023

Aug 29, 2023

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32

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complex quadratic

The equation $x^2 + 2x = i - 2x$ has two complex solutions. Determine the product of their real parts.

Guest Aug 29, 2023

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help math

A mathematician works for $t$ hours per day and solves $p$ problems per hour, where $t$ and $p$ are positive integers. One day, the mathematician drinks some coffee and discovers that he can now solve $4p+7$ problems per hour. In fact, he only works read more ..

Guest Aug 29, 2023

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The Melting Snowflake - An Announcement to the Forum

A snowflake sits in a room at room temperature (70 F). If the current temperature of the snowflake is -30 F and it melts after reaching 32 F, using Newton's law of Cooling, determine how long it will take for the snowflake to melt.

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Guest Aug 29, 2023

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