19,155 Answered Questions for the topic Algebra

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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Algebra Precalculus

07/21/21

Math help needed really confused

Given f(x)=6-x and j(x)=x^2+4, find each of the following:(f*j)(2)=(j-f)(x)=(fj)(x)=
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Algebra Precalculus

07/21/21

Math help needed please

If g(x)= 3x-5 if x < or = to 2 G(x)= 4x+2 if x >2 find g(2)
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Algebra Math Trigonometry

07/21/21

Trigonometric Functions & Equations
A small windmill has its center 6 𝑚 above the ground and blades 2 𝑚 in length. In a steady wind, a point 𝑃 at the tip of one blade makes a complete rotation in 12 𝑠. a) If the rotation begins at... more
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07/21/21

Solve the system of linear equations by eliminating a variable

solve the system of linear equations by eliminating a variablex-y=-73x+y=-5what ordered pair represents the solution to the system of equations?
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Algebra Precalculus

07/20/21

How long will it take for the caffeine to decay?
The half liter of caffeine in your bloodstream is about 5 hours. How long will it take for the caffeine to decay to 15% of the original amount?it will take ____ hours
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07/20/21

Find the area of the parallelogram with vertices 𝐴(−1,2,4) A ( − 1 , 2 , 4 ) , 𝐵(0,4,6) B ( 0 , 4 , 6 ) , 𝐶(1,1,5) C ( 1 , 1 , 5 ) , and 𝐷(2,3,7) D ( 2 , 3 , 7 ) .
Find the area of the parallelogram with vertices , , , and .
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07/20/21

Consider the vector 𝑣⎯⎯⎯ v ¯ between (−2,4,−5) ( − 2 , 4 , − 5 ) and (5,−2,−4) ( 5 , − 2 , − 4 ) .
the vector v ¯ is? THE LENGTH OF v ¯ IS? if the tail of v ¯ is at (5,-1,1), then the tip is at? if the tip of v ¯ is at (0, -5, -2) then the tail is at ? what vector has the same length as v ¯ but... more
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07/20/21

Use an addition or subtraction formula to find the exact value of sin
Use an addition or subtraction formula to find the exact value of sin (19/12pi) = - (sqrt(A)(sqrt(B+1)/(4)
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