19,133 Answered Questions for the topic Algebra

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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07/20/21

If cos α = 0.558 and sin β = 0.883 with both angles’ terminal rays in Quadrant-I, find the values of
If   cosα=0.558 and sinβ=0.883 with both angles’ terminal rays in Quadrant-I, find the values of (a)cos(α+β)(b)sin(β−α)
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07/20/21

Help I don’t understand
The half life of palladium-100 is 4 days. After 16 days a sample of palladium-100 has been reduced to a mass of 3mg.what was the initial mass(in mg) of the sample?what is the mass 6 weeks after the... more
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Algebra Precalculus

07/20/21

Help me please thank you
The doubling period of bacterial population is 10 minutes. At time t=110 minutes, the bacterial population is 70000.What was the initial population at t=0?find the size of the bacterial population... more
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07/20/21

Two Cars (algebra)
A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of 20 miles per gallon of gas. During one particular week, the two cars... more
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07/20/21

𝑣=⟨7,3,10⟩ v = ⟨ 7 , 3 , 10 ⟩ 𝑤=⟨6,6,10⟩ w = ⟨ 6 , 6 , 10 ⟩ Find the cosine of the angle between 𝑣 v and 𝑤 w .
Find the cosine of the angle between  and .
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07/20/21

) Given the vectors 𝑎=(1,2,3) a = ( 1 , 2 , 3 ) and 𝑏=(1,−1,2) b = ( 1 , − 1 , 2 ) , what is the dot product 𝑎⋅𝑏⋅𝑎 a ⋅ b ⋅ a ?
) Given the vectors  and , what is the dot product ?
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07/20/21

Which of the following vectors is perpendicular to 𝑎=(1,2,3) a = ( 1 , 2 , 3 ) and 𝑏=(1,−1,2) b = ( 1 , − 1 , 2 ) ?
which of the following is perpendicualr to said vector
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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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Algebra Linear Algebra

07/20/21

Find 𝐚⋅𝐛 a ⋅ b if |𝐚|=6 | a | = 6 , |𝐛|=1 | b | = 1 , and the angle between 𝐚 a and 𝐛 b is 𝜋/4 π / 4 .
 Find 𝐚⋅𝐛 a ⋅ b if |𝐚|=6 | a | = 6 , |𝐛|=1 | b | = 1 , and the angle between 𝐚 a and 𝐛 b is 𝜋/4 π / 4 .
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07/20/21

Express 5.6 sin ( x ) + 1.2 cos ( x ) 5.6 sin ( x ) + 1.2 cos ( x ) in the form k sin ( x + ϕ ) k sin ( x + ϕ )
Express  5.6sin(x)+1.2cos(x)  in the form  ksin(x+ϕ)K=_____ϕ= _____
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07/20/21

If sin α = 0.407 sin α = 0.407 and sin β = 0.982 sin β = 0.982 with both angles’ terminal rays in Quadrant-I, find the values of

If  sinα=0.407  and  sinβ=0.982  with both angles’ terminal rays in Quadrant-I, find the values of (a)cos(α−β)=_____(B)sin(β−α)=_____
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07/20/21

If cos α = 0.929 cos α = 0.929 and cos β = 0.632 cos β = 0.632.
If  cosα=0.929  and  cosβ=0.632 with both angles’ terminal rays in Quadrant-I, find the values of (a)cos(β−α)= ______(B) sin(β−α)= ______
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Algebra

07/20/21

Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Fourth-degree and a single zero of −3.
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Algebra Logarithm

07/20/21

What is the initial population at time t=0?
The doubling period of a bacterial population is 20 minutes. At time t=100 minutes, the bacterial population was 60,000. What was the initial population at time=0?Find the size of the bacterial... more
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Algebra

07/20/21

chairs and tables for rent.what total cost to rent two chairs and three tables is $25 so the total cost to rent six chairs and 5 tables is $49 what is total cost of each chair and each table
A party rental company has chairs and tables the total cost for two chairs three tables is 25 the total cost for 6 chairs and 5 tables is 49 what is the cost of each chair each table
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Algebra

07/20/21

the profit p(x)
the profit p(x) generated after producing and selling x units of a product ia given by the function p(x)=r(x)-c(x) where r and c are the revenue and cost functions, respectively. a local sandwich... more
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Algebra

07/20/21

farmer ed has 140
farmer ed has 140 feet of fencing, and wants to enclose a rectangular plot that borders on the river. if farmer ed does not fence the side along the river, find the length and width of the plot... more
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