20,417 Answered Questions for the topic Algebra

07/18/21

For commercials aired during a sporting​ event, advertisers paid an average of​ $5 million to air a​ 30-sec commercial.

For commercials aired during a sporting​ event, advertisers paid an average of​ $5 million to air a​ 30-sec commercial. Even at this​ rate, some commercials were longer than 30 sec. A total of 60... more

07/18/21

A motel clerk counts his​ $1 and​ $10 bills at the end of the day.

A motel clerk counts his​ $1 and​ $10 bills at the end of the day. He finds that he has a total of 44 bills having a combined monetary value of ​$152. Find the number of bills of each denomination... more
Algebra

07/18/21

William opened two investment accounts.

William opened two investment accounts. The first​ year, these​ investments, which totaled $2800​, yielded $129 in simple interest. Part of the money was invested at 5.5​% and the rest at 3​%. How... more
Algebra

07/18/21

A​ person's website specializes in the sale of rare or unusual vegetable seeds.

A​ person's website specializes in the sale of rare or unusual vegetable seeds. He sells packets of​ sweet-pepper seeds for $2.48 each and packets of​ hot-pepper seeds for ​$4.88 each. He also... more
Algebra

07/18/21

Brand A granola is 25​% nuts and dried fruit and brand B granola is 20​% nuts and dried fruit. How much of A and B should be mixed to form a 20-lb batch of sweets that is 23​% nuts and dried​ fruit?

Brand A granola is 25​% nuts and dried fruit and brand B granola is 20​% nuts and dried fruit. How much of sweet item A and sweet item B should be mixed to form a 20-lb batch of sweets that is 23​%... more
Algebra

07/18/21

One canned juice drink is 30​% orange​ juice; another is 10​% orange juice. How many liters of each should be mixed together in order to get 20 L that is 29​% orange​ juice?

One canned juice drink is 30​% orange​ juice; another is 10​% orange juice. How many liters of each should be mixed together in order to get 20 L that is 29​% orange​ juice?

07/17/21

How would I use the De.M Theorem to find the power given below?

[ 3 ( cos 3π/8 + i sin 3π/8 ) ] 4how also, would I write this in rectangular form? Using the DeMoivre’s Theorem Thank you.

07/17/21

Write an equation that expresses the statement. (Use k as the constant of proportionality.) z is proportional to the square root of x.

"Write an equation that expresses the statement. (Use k as the constant of proportionality.)z is proportional to the square root of x."

07/17/21

Need help asap thank you.

A. Is the function f(x) = x2 even, odd, or neither? Explain B. Is the function g(x) = x3 even, odd, or neither? Explain C. Is the function  even, odd, or neither? Explain D. Is the... more

solve for x Exponential & Log Functions

Solve for x, 3 4√𝑥 -4 × 32√𝑥 = − 3
Algebra

07/16/21

line a is perpendicular to line b

line a is perpendicular to line b. Line a passes through the points ((4,6) and (0,9). Line b passes through the point (3,-2). Find the equation of line b in slope intercept form.
Algebra

07/16/21

graph the solution to the inequality

Graph the solution to the inequality..3x-4>y
Algebra

07/16/21

point slope equation

find the point slope equation for the line passing through (3,-4) (-1,2)
Algebra

07/16/21

slope intercept form

find the slope intercept eqation for (0,3) (4,0)

07/16/21

Exponential & Log Functions

Evaluate, using the properties of log. log2 2 + log2 4 + log28 +⋯+ log2262144. 
Algebra

07/16/21

I need the answer to this question

whats the sum of a number and five
Algebra Math Algebra 1 Logic

07/16/21

Let E be a non-empty set. Let's consider the inclusion relation over P(E): (∀x, y ∈ P(E))(X ≤ Y ⇔ X ⊂ Y )

Let E be a non-empty set. Let's consider the inclusion relation over P(E): (∀x, y ∈ P(E))(X ≤ Y ⇔ X ⊂ Y )(a) Show that it is an order relation. (b) Show that it is total if, and only if, E = {a}I... more
Algebra Linear Algebra

07/16/21

Find the lengths of the sides of the triangle with the vertices 𝐴(2,−1,4), 𝐵(−2,2,9), and 𝐶(6,4,7)

|AB|= ?|AC|= ?|BC|=? is triangle ABC an isosceles triangle?
Algebra Linear Algebra

07/16/21

find a vector a that has the same direction as <-8,9,8> but has a length of 3

find a vector a that has the same direction as <-8,9,8> but has a length of 3

Exponential & Log Functions

clearly explain, using correct mathematical terminology and graph transformations, the difference(s) between the graph of y = log5𝑥 and y = log5 (125𝑥2). 

07/16/21

Stuck on a problem. Help needed. Thank you!

A. Find the error in the simplified radical process shown below. Explain the error.B. Simplify the expression from question 1. C. Solve the equation x4 + 81 = 3831. Find the answer in simplified... more

Exponential & Log Functions

 State the restriction(s) on the variable x in log(2x-5) – log (4 - x) 

Exponential & Log Functions

If⁡ log2𝑛 (1944)= log𝑛 (486√2), find the values of 𝒏𝟑

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