Algebra Word Problem Solutions

Find any relative extrema of ${\displaystyle y=\arcsin x-x}$

Solve the equations and inequalities: ${\displaystyle \frac{2^x}{3}\le \frac{5^x}{4}}$

What is ${\displaystyle \sqrt{7\sqrt{7\sqrt{7}}}}$ ?

Solve the following equation for x
${\displaystyle 6x+4=-2(x-8)}$

Which of the following represents the expression a⋅b⋅a⋅a⋅b⋅a⋅b⋅b⋅a⋅b⋅b⋅b using exponents?
A. ${\displaystyle a^7\cdot b^5}$
B. ${\displaystyle a^5\cdot b^7}$
C. ${\displaystyle a^5\cdot b^5}$
D. ${\displaystyle a^7\cdot b^7}$

the best floor company pruchases carpeting for 5.12 per square feet and marks it up 55% based on the selling price per square yard round to the nearest cent

How do i round $9.798 to the nearest cent

To get to Level 3 in a game, a player must score 14,175 points. Ann scores 14,205 points, Ben scores 14,089 points, and Chuck scores 10,463 points. Which score is greater than the Level 3 score?

Find the points of intersection of the line $x=3+2t,y=5+7t,z=-3+t$, that is, $I(t)=3+2t,5+7t,-3+t$, with the coordinate planes.

Solve the following system of equations.
${\displaystyle 2x-\frac{1}{5}y=\frac{4}{5}}$
${\displaystyle \frac{1}{3}x-\frac{1}{2}y=-12}$
x-?
y-?

Solve the following polynomial equation by grouping and factoring.
${\displaystyle 4y^3-9y=0}$
y=?

What is a system of linear equations? Provide an example with description.

Give the solution to the system of equations.
${\displaystyle x^2+y^2=5,y=3x-5}$

Determine if (1,3)is a solution to given system of linear equations
$y-2x=3$
$3x-2y=5$

Write an equation in slope intercept form. $2x+3y=7$, (4,5).

Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.
4 and 15

Give an example of a refinement in mathematical modeling with contextual explanation.

Which of the following statements is/are correct about logistic regression? Logistic regression can be used for modeling the continuous response variable with dichotomous explanatory variable. Logistic regression can be used for modeling the dichotomous response variable with dichotomous explanatory variable. Logistic regression can be used for modeling the continuous response variable with dichotomous or other type of categorical explanatory variables. Logistic regression can be used for modeling the dichotomous response variable with dichotomous and not for continuous explanatory variables. Logistic regression can be used for modeling the dichotomous response variable with categorical explanatory variables and/or continuous explanatory variables.

On a clinical day a nurse encounters several situations involving measurements. State the name of each unit and the type of measurements it is
a) The prothrombin time for a blood sample is 12s
b) A premature baby weights 21 Kg
c) An antacid tablet contains 1.0g of CaCO3 d) An infant has a temperature of 39.2 C