All Questions ⁺⁰237720 Questions

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516

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Help with algebra

The fourth degree polynomial equation x^4 - 7x^3 + 4x^2 + 7x - 4 = 0 has four real roots, a, b, c, and d. What is the value of the sum 1/(abc) + 1/(abd) + 1/(acd) + 1/(bcd)?

Guest Jun 24, 2021

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407

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geometry

Two 2*8 rectangles overlap, as shown below. Find the area of the overlapping region (which is shaded)

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Guest Jun 24, 2021

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475

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inequality problem

I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least 800 pounds more than each of her trucks, but no more than 1/5 of the total load her four trucks combined can carry. Based on these read more ..

Guest Jun 24, 2021

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473

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quadratic function

Most cars get their best gas mileage when traveling at relatively modest speed. The gas mileage M for a certain new car is modeled by the function. 𝑀(𝑠) = − 1/ 28*(𝑠^2) + (3 + 𝑚)𝑠 + (31 + 𝑚) , where 𝑠 is the speed in mi/h and M is measured in mi/gal read more ..

Guest Jun 24, 2021

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451

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quadratic function

Most cars get their best gas mileage when traveling at relatively modest speed. The gas mileage M for a certain new car is modeled by the function. 𝑀(𝑠) = − 1/ 28 𝑠^2 + (3 + 𝑚)𝑠 + (31 + 𝑚) , where 𝑠 is the speed in mi/h and M is measured in mi/gal read more ..

Guest Jun 24, 2021

0

417

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quadratic equation

Most cars get their best gas mileage when traveling at relatively modest speed. The gas mileage M for a certain new car is modeled by the function. 𝑀(𝑠) = − 1 28 𝑠 2 + (3 + 𝑚)𝑠 + (31 + 𝑚) , where 𝑠 is the speed in mi/h and M is measured in mi/gal read more ..

Guest Jun 24, 2021

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640

2

A culture starts with 10000 bacteria, and the number doubles every 40 minutes.

A culture starts with 10000 bacteria, and the number doubles every 40 minutes.
a. Find a function that models the number of bacteria at time t.
b. Find the number of bacterial after one hour.
c. After how many minutes will there read more ..

Guest Jun 24, 2021

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511

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Please help!!

Complex numbers are often used when dealing with alternating current (AC) circuits. In the equation V = IZ, V is voltage, I is current, and Z is a value known as impedance. If V = 1+i and Z=2-i, find I.

Guest Jun 24, 2021

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451

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help plz

Let be a point on the graph of equation, (x-94)^2 + (y-9)^2 = 8^2. What is the shortest possible distance between P and the x-axis?

Guest Jun 24, 2021

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470

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how to solve

Let f(x) = (3x^4+3x^3+3x^2+3)/(x^2+2x-4). Find a polynomial g(x) so that the graph of f(x) + g(x) has a horizontal asymptote of y = 0.

Guest Jun 24, 2021

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560

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geometry

In triangle ABC, points D and E lie on BC and AC, respectively. If AD and BE intersect at T so that AT/DT = 3 and BT/ET = 4, what is CD/BD?

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Guest Jun 24, 2021

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328

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Number Theory

Find the sum of the primes between 100 and 200, inclusive, that are 1 or 2 or 3 more than a perfect square.

Guest Jun 24, 2021

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441

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algebra

What is the greatest product obtainable from two integers whose sum is 24?

Guest Jun 24, 2021

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253

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help plz

Let P and Q be constants. The graphs of the lines x - 5y = 7 and 15x + Py = Q are perpendicular and intersect at the point (8,3) Enter the ordered pair (P,Q).

Guest Jun 24, 2021

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259

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help with geometry

A right triangle with a perimeter of 60 units has an altitude (to the hypotenuse) of length 10 units. Find the sum of the lengths of the two (non-hypotenuse) legs of this triangle.

Guest Jun 24, 2021

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269

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geometry

In the figure below, PQRS is a parallelogram of 24 and area 26. What is the perimeter of rectangle QOST?

Guest Jun 24, 2021

Jun 23, 2021

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472

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A repost

3 cards are chosen at random from a standard 52-card deck. What is the probability that they can be arranged into a group of three consecutive cards, all of the same suit? For this problem, an Ace can either come before a 2 or after a King, but not both read more ..

Guest Jun 23, 2021

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268

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Polynomials

The polynomial $x^3 + Ax + B$ is divisible by x^2 + x + 1 for some real numbers A and B. Find A + B.

Guest Jun 23, 2021

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533

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help pls

For how many positive integers n less than 100 is 5^n + 8^(n + 1) + 13^(n + 2) + 14^(n + 3) a multiple of 6?

Guest Jun 23, 2021

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432

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Help counting

How many 3-letter sequences can be formed if the second letter must be a vowel (A, E, I, O, or U), and the third letter must be different from the second letter?

Guest Jun 23, 2021

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467

1

+25

question ty

Line $\ell_1$ is horizontal and passes through $(-5,8)$. Line $\ell_2$ is vertical and passes through $(4,-1)$. Find the point of intersection of $\ell_1$ and $\ell_2$.

angelxbobaa Jun 23, 2021

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345

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Circle geometry

Chord YZ of a circle with center O has length 12. The circumference of the circle is 12*pi. Find the length of arc YZ.

Guest Jun 23, 2021

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407

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Area of a triangle

The length of one side of a triangle is sqrt(3) + 1 cm. The two interior angles on that side are 30 degrees and 60 degrees. What is the area of the triangle?

Guest Jun 23, 2021

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362

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pls help math question

z^4 = -4
should be in the form as a+bi

Guest Jun 23, 2021

0

378

1

Pls halp

3 cards are chosen at random from a standard 52-card deck. What is the probability that they can be arranged into a group of three consecutive cards, all of the same suit? For this problem, an Ace can either come before a 2 or after a King, but not both read more ..

Guest Jun 23, 2021

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