19,133 Answered Questions for the topic Algebra

07/26/21

Math word problem

A solution of 60% fertilizer is to be mixed with a solution of 21% fertilizer to form 234 liters of a 43% solution. How many liters of the 60% solution must be used?
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07/26/21

Math word problem
Yellows vary inversely as reds cubed. When there are 16 yellows, there are 4 reds. How many yellows are present when there are 8 reds?
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07/26/21

Find the point at which the line ⟨1,0,−4⟩+𝑡⟨1,3,−5⟩ ⟨ 1 , 0 , − 4 ⟩ + t ⟨ 1 , 3 , − 5 ⟩ intersects the plane 4𝑥−3𝑦−2𝑧=57 4 x − 3 y − 2 z = 57 .
Find the point at which the line  intersects the plane .
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Algebra

07/26/21

David is exploring the sequence of numbers given by the rule 2n^2 - 3n + 1
David is exploring the sequence of numbers given by the rule 2n^2 - 3n + 1. Prove that the difference between any two consecutive terms from the sequence 2n^2 - 3n + 1 must be an odd number.
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07/25/21

Word math problem

The amount of oil used by a ship traveling at a uniform speed varies jointly with the distance and the square of the speed. If the ship uses 250 barrels of oil in traveling 500 miles at 48 mph,... more
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Algebra

07/25/21

Find an explicit formula for f(n).
f(1)=−71f(n)=f(n−1)⋅4.2​
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07/25/21

A circle has a radius of 7 cm. Find the radian measure of the central angle 0 that intercepts an arc of length 4 cm.
I need help with this as soon as possible!!!
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07/24/21

help needed asap!
The original function for this question is A(t) = A0(1/2)t/h .This question is about cobalt-57 and half life.1. Find the inverse of the function from question 2. You can't use natural log (LN).2 .... more
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07/24/21

Evaluate [i18+(1i)25]^2
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07/24/21

Let α and β be two acute angles of a right triangle in a unit circle. (Thus α and β are complementary angles.)
 Under what conditions will sin⁡(α)=cos⁡(α)
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07/24/21

Let α and β be two acute angles of a right triangle in a unit circle. (Thus α and β are complementary angles.)
a. Show that sin⁡(α)=cos⁡(β) and sin⁡(β)=cos⁡(α)b. Under what conditions will sin⁡(α)=cos⁡(α)
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07/24/21

PLSSS HELPPP. The following equation is often referred to Euler's formula. e^πi+1=0
a. Identify three important mathematical constants in the formula. Explain why each constant is important.b. Use what you know about complex numbers to show that this equation is true. In other... more
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07/23/21

Need help with Alg Question ASAP thank you!
The original function for this question is This question is about cobalt-57 and half life.1. Find the inverse of the function from question 2. You can't use natural log (LN).2 . What does the input... more
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Algebra Trigonometry

07/23/21

Trigonometry and Algebra
What is the equation or function for the 1st quadrant only of a unit circle(1/4 of the circle)I know the equation for a semicircle is y=√1-x^2from the x^2+y^2=1 equation
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07/23/21

Thetwovectors 𝑢⎯⎯=⟨−1,2,2⟩ u ¯ = ⟨−1 ,2 , 2⟩ and 𝑣⎯-=⟨−3,−3,2⟩ v ¯ = ⟨ − 3 , − 3 , 2 ⟩ determine a plane in space. Mark vectors below asT if the vector lies in same plane as 𝑢⎯⎯⎯u ¯ and 𝑣⎯⎯⎯ v ¯

<2,2,3> <9,9,-6> <-1,2,0> <-5,-8,2>
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07/23/21

Find the linear equation of the plane through the point (2,10,6) ( 2 , 10 , 6 ) and parallel to the plane 𝑥+5𝑦+3𝑧+4=0.
Find the linear equation of the plane through the point  and parallel to the plane 
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07/23/21

Cassandra attempts to do the yo-yo trick 'Around the World
She throws the yo-yo so that it sweeps out a vertical circle whose radius is the length of the yo-yo string. If the yo-yo string is 27 inches long and the distance the yo-yo travels in an arc is... more
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Algebra

07/22/21

Substituting the equation y = 4x + 1 into the equation 2y = -x – 1 will produce the equation ________.
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Algebra

07/22/21

Determine whether the system of linear equations is inconsistent or dependent.
Determine whether the system of linear equations is inconsistent or dependent.   x  +  y  +  z  =  4 y  −  3z  =  11 2x  +  y  +  5z  =  −5 dependentinconsistent    If it is dependent,... more
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07/22/21

Find a vector equation with parameter 𝑡 t for the line through the points (−1,−7,−4) ( − 1 , − 7 , − 4 ) and (−13,6,3).
find a vector answer r(t)=?
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Algebra

07/22/21

What's the answer
1.     A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains 30% salt. She knows that Solution A is 90% salt and Solution B is salt. She wants to... more
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07/22/21

Find a vector equation with parameter 𝑡 t for the line through the point (9,0,−3) ( 9 , 0 , − 3 ) and parallel to the vector 2𝐢−4𝐣+3𝐤.
find the vector. Answer: r(t)=?
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07/22/21

Find a vector equation with parameter 𝑡 t for the line through the points (−1,−7,−4) ( − 1 , − 7 , − 4 ) and (−13,6,3).
answer: r(t)= ? find a vector.
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Algebra

07/22/21

Polynomial long division
How do we solve this:(y^2 - x y + x^2)/(-y^3 + x^2 y^2 + y^2 x - x^3 y - y x^2 + x^4)
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07/21/21

Last needed question. Help
8500 compounded quarterly at a rate of 4.7% or 8400 compounded continuously at a rate of 4.5%after 5 years option a will have $_____after 5 years option b will have $_____
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