Algebra Word Problem Solutions

What is ${\displaystyle 12(\cos 60+i\sin 60)}$

solve ${\displaystyle x^2-10x=-21x}$

According to the U.S. Bureau of Labor Statistics, you will devote 37 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 19. Over your lifetime, how many years will you spend each of these activities?

A water sample in a laboratory initially contains 6000 bacteria. The organisms reproduce at a rate of 10% per hour. Find the function that corresponds to this situation. Then predict how long it will take for the population of bacteria to double in number. Round your answer to the nearest hundredth of an hour.

${\displaystyle 36n^2+102n-84}$

An automobile saleswoman earns 12% on all of her sales. Last month she sold 3 cars for a total sales amount of $28,950. What is her commission?

in order to write an exponential growth equation in the form ${\displaystyle y=a{\left(b\right)}^x}$, you first take the initial value and do what?

Graph the solution set of the system of inequalities or indicate that the system has no solution.
${\displaystyle \{\begin{array}{c}x+y>4\\ x+y<-1\end{array}}$

Compute the following binomial probabilities directly from the formula for $b(x,n,p)$:

a) $b(3,8,0.6)$

b) $b(5,8,0.6)$

c) ${\displaystyle P(3\le X\le 5)}$

when $n=8$ and $p=0.6$

d)${\displaystyle P(1\le X)}$ when $n=12$ and $p=0.1$

The function ${\displaystyle f\left(x\right)=x\frac{{(64-x^2)}^1}{2}}$ satisfies the hypotheses of Rolles

Try to complete Factorization Factor the polynomial completely , and find all its zeros. State the multiplicity of each zero.
$P(x)=x^4-625$

What is the absolute value of ${\displaystyle -7\frac{3}{4}}$.
Write your answer as a mixed number.

Solve the qudaratic equation by factorization
${\displaystyle x^2+x-(a+1)(a+2)=0}$

Find the prime factorization of 56.

System of equations. Use matrices to solve
2x+y=-10
6x-3y=6

Solve the following equation:
$log2x^3=log{2}^x$

What is a system of linear equations in three variables?

Consider the quantity$a^2-b^2$ where a and b are real numbers.
(a) Under what conditions should one expect an unusually large relative error in the computed value of $a^2-b^2$ when this expression is evaluated in finite precision arithmetic?
(b)cWs 4-digit (decimal) rounding arithmetic to evaluate both $a^2-b^{2}and(a+b)(a-b)witha=995.1andb=995.0.$ Calculate th relative error in each result.
(c) The expression $(a+b)(a-b)isalgebraicallyequivalentto{a}^2-b^2,$ but it is a more accurate way to calculate this quantity if both a and b have exact floating point representations. Why?

One type of lodine disintegrates continuously at a constant rate of 8.6% per day. Suppose the original amount, P0, is 10 grams, and let be measured in days. Because the lodine is decaying continuously at a constant rate, we use the model P = P0e for the decay equation, where k is the rate of continuous decay. Using the given information, write the decay equation for this type of lodine.

Write the polynomials as the product of linear factors and list all the zeros of the function.$h(x)=x^3-3x^2+4x-2$