Math

Problem 63501

What number can you multiply to eliminate fractions in $-\frac{3}{4} m - \frac{1}{2} = 2 + \frac{1}{4} m$ ? 2, 3, 4, or 5?

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Problem 63502

Find $f(x+b)$ for $f(x)=3 x^{2}+5 x+20 x$ . Also, compute $f(x) g(x)$ for $f(x)=6 x^{3}+5 x$ and $g(x)=7 x+3$ .

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Problem 63503

Divide 7,200 by 10 raised to the power of 1. What is the result?

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Problem 63504

Find the complex zeros of the polynomial $f(x)=x^{3}-15 x^{2}+79 x-145$ .

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Problem 63505

What is a trial in Arianna's 10 rolls of a die? Options: one roll, at least one 5, ten rolls, or sum of 40?

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Problem 63506

What number can you multiply by to eliminate fractions in the equation $6-\frac{3}{4} x+\frac{1}{3}=\frac{1}{2} x+5$ ? Options: 2, 3, 6, 12.

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Problem 63507

Graph the supply $S(q)=p=\frac{3}{2} q$ and demand $D(q)=p=81-\frac{3}{4} q$ . Find equilibrium quantity and price.

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Problem 63508

Evaluate $4 + 2 \times [(29 - 15) \div 2]$ . Find values inside parentheses, brackets, and the entire expression.

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Problem 63509

Jacqueline spins a spinner (0-4) 3 times. Are events A (all > 2) and B (sum = 9) independent, dependent, mutually exclusive, or complement?

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Problem 63510

Calculate $13,000 \div 10^{2}$ .

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Problem 63511

Solve the equation $d-10-2d+7=8+d-10-3d$ . What is $d$ ? Options: $-5$ , $-1$ , $1$ , $5$ .

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Problem 63512

Solve the inequality: $\frac{x+1}{x-4}>0$ . Provide your answer in interval notation.

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Problem 63513

Find the product of the functions $f(x)=3 x^{2}+5 x$ and $g(x)=7 x+3$ . What is $f(x) g(x)$ ?

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Problem 63514

Find $f(3) g(3)$ for $f(x)=2 x^{2}+4 x+5$ and $g(x)=x^{2}+x+1$ .

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Problem 63515

If $y$ varies directly with $x$ and $y$ is 72 when $x$ is 9, find $y$ when $x$ is 17. $y=[?]$

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Problem 63516

In a race, a turtle has a $7 \mathrm{~km}$ head start, running at $\frac{2 \mathrm{~km}}{\mathrm{hr}}$ , while a rabbit runs at $\frac{7 \mathrm{~km}}{\mathrm{hr}}$ . How long until the rabbit catches the turtle?
1. The distance that the rabbit travels is $7 + 2t$ .
2. The distance that the turtle travels is $7t$ .
The rabbit races $7 + 2t$ km at $\frac{7 \mathrm{~km}}{\mathrm{hr}}$ for time $t$ .

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Problem 63517

Solve the equation $2.8y + 6 + 0.2y = 5y - 14$ . Find the value of $y$ . Options: $-10$ , $-1$ , $1$ , $10$ .

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Problem 63518

Solve for $y$ in the equation: $y + 6 = -3y + 26$ . Options: $-8$ , $-5$ , $5$ , $8$ .

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Problem 63519

Find the function $d(t)$ for a car that travels 372 miles in 6 hours from Lubbock to Austin.

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Problem 63520

Solve the equation: $\frac{2}{3} x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6} x$ . What is $x$ ?

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Problem 63521

Identify the graph of the function from reflecting $f(x)=\frac{1}{4}(8)^{x}$ across the y-axis and x-axis.

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Problem 63522

What is the maximum mass of $H_{2}O$ produced from $8.0 \mathrm{~g}$ of $N_{2}H_{4}$ and $92 \mathrm{~g}$ of $N_{2}O_{4}$ ?

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Problem 63523

Find two circle sectors from different circles that each have an area of $10 \pi$ .

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Problem 63524

A researcher randomly selects a vitamin. Define events $X$ (selecting A) and $Y$ (selecting even-labeled vitamins). Arrange a Venn diagram for $X$ , $Y$ , or $X \cap Y$ .

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Problem 63525

Find the product $f(x) g(x)$ for $f(x)=3 x^{2}+4 x+5$ and $g(x)=x^{2}+x+1$ .

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Problem 63526

Find all real zeros of the polynomial $f(x)=2 x^{4}+x^{3}-7 x^{2}-3 x+3$ and factor it over the reals.

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Problem 63527

Find the value of the piecewise function $f(x)$ at $x = -4$ .

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Problem 63528

Find the value of the piecewise function $f(x)$ at $x = -1$ , where $f(x)$ is defined as:
$f(x)=\left\{\begin{array}{lll} 3 x-5 & \text { for } & x<1 \\ 1 & \text { for } & x=1 \\ -2 & \text { for } & 1<x \leq 5 \end{array}\right.$

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Problem 63529

A biologist has butterfly specimens of colors G, R, Y and ages 1-6 months. Place dots on a Venn diagram for events $A$ (yellow) and $B$ (older than 2 months).

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Problem 63530

What is the graph of $f(x)=\frac{1}{4}(8)^{x}$ after reflecting it across the $y$ -axis and then the $x$ -axis?

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Problem 63531

Evaluate the following compositions: $(f \circ g)(1)$ , $(f \circ g)(-1)$ , $(g \circ f)(0)$ , $(g \circ f)(-1)$ , $(g \circ g)(-2)$ , $(f \circ f)(-1)$ . Use values from $f(x)$ and $g(x)$ : $f(-3)=-6$ , $f(-2)=-4$ , $f(-1)=-2$ , $f(0)=-1$ , $f(1)=2$ , $f(2)=4$ , $f(3)=6$ , $g(-3)=6$ , $g(-2)=2$ , $g(-1)=0$ , $g(0)=-1$ , $g(1)=0$ , $g(2)=2$ , $g(3)=6$ .

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Problem 63532

Find the value of the piecewise function $f(x)$ at $x = -1$ :
$f(x)=\left\{\begin{array}{lll} 2 x+8 & \text { for } & -5 \leq x<-1 \\ -6 & \text { for } & x=-1 \\ x+5 & \text { for } & -1<x \leq 2 \end{array}\right.$

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Problem 63533

Calculate $-94 \div 47$ .

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Problem 63534

Classify the following changes as endothermic or exothermic: burning a candle, cooking an egg, rain to snow, boiling water, and the reaction $\mathrm{CH}_{4}+2 \mathrm{O}_{2} \rightarrow \mathrm{CO}_{2}+2 \mathrm{H}_{2} \mathrm{O} + \text{heat}$ .

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Problem 63535

A biologist has butterfly specimens of colors G, R, Y and ages 1-6 months. Identify specimens in events $A$ , $B$ , or $A \cap B$ .

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Problem 63536

Convert the mixed number $1 \frac{5}{12}$ to its decimal form.

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Problem 63537

Calculate: 10. $52 \cdot(-6)$ and 13. $-94 \div 47$ .

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Problem 63538

Find the probability of drawing a 7 from a standard 52-card deck. Express your answer as a fraction.

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Problem 63539

Calculate the value of $-3 \cdot(-8) \div(-6)$ .

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Problem 63540

Rewrite $f(x)=x^{2}+6 x$ in vertex form and find its roots (i.e. $x$ -intercepts).

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Problem 63541

Calculate the product of 52 and -6: $52 \cdot (-6)$ .

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Problem 63542

Solve for $p$ : $2.6(5.5 p-12.4)=127.92$ . Use the distributive, addition, and division properties.

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Problem 63543

Convert the mixed number to a decimal: $5 \frac{3}{20}=$

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Problem 63544

Calculate the value of $5 \frac{3}{20}$ .

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Problem 63545

Find the probability of exactly 5 Mexican-Americans among 12 jurors: $P(x=5)=$ . Also, find $P(x \leq 5)=$ . Round to four decimal places.

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Problem 63546

Find $(f \circ g)(4)$ , $(g \circ f)(2)$ , $(f \circ f)(1)$ , and $(g \circ g)(0)$ for $f(x)=3x$ and $g(x)=6x^2+6$ .

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Problem 63547

At a university, 50% of students play volleyball. What is the probability a random student plays or doesn't play?

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Problem 63548

Find all $\theta$ in $[0^{\circ}, 360^{\circ})$ such that $\sin \theta = \frac{\sqrt{3}}{2}$ .

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Problem 63549

Find all $\theta$ in $[0^{\circ}, 360^{\circ})$ such that $\cos \theta=\frac{\sqrt{2}}{2}$ .

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Problem 63550

A school play sold tickets for \$ 3 (student) and \$ 7 (adult). Total sales were \$ 2,001 with 467 tickets sold. Find counts.

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Problem 63551

Calculate $52 \cdot(-6)$ .

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Problem 63552

Find the standard deviation of the sample: 29, 36, 42, 45, 48, 50, 50, 51, 53, 55, 59, 59. r.v. $=$

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Problem 63553

Identify the experiment, trial, and outcome for rolling a six-sided die with sides $1, 2, 3, 4, 5, 6$ .

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Problem 63554

Find all values of $\theta$ in $[0^{\circ}, 360^{\circ})$ such that $\csc \theta = \frac{2 \sqrt{3}}{3}$ .

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Problem 63555

Find the composite functions for $f(x)=9x+7$ and $g(x)=x^{2}$ : (a) $f \circ g$ , (b) $g \circ f$ , (c) $f \circ f$ , (d) $g \circ g$ . State each domain.

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Problem 63556

Find all $\theta$ in $[0^{\circ}, 360^{\circ})$ where $\tan \theta = -\sqrt{3}$ .

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Problem 63557

Kevin starts with \ $750 in savings and adds \$70 weekly. Write$ S $as a function of$ W $and find$ S$ after 11 weeks.

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Problem 63558

Find the following: (a) $(f \circ g)(4)$ for $f(x)=3x$ and $g(x)=6x^2+6$ (b) $(g \circ f)(2)$ (c) $(f \circ f)(1)$ (d) $(g \circ g)(0)$

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Problem 63559

There are 150 new employees divided into groups A, B, C, D, and E with 30 each. Find $P(C)$ for group C.

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Problem 63560

Find the standard deviation of the sample: 29, 36, 42, 45, 48, 50, 50, 51, 53, 55, 59, 59. Round as needed. $\text{r.v.} =$

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Problem 63561

Lisa bought 100 items: cups at \ $2 and bracelets at \$3, costing \$260. Find the number of cups using:$ $\left\{\begin{array}{l} c+b=100 \\ 2 c+3 b=260 \end{array}\right.$ $

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Problem 63562

A school needs 5 more desks in secondary classrooms than in elementary ones. With 20 elementary and 25 secondary classrooms totaling 1,115 desks, find the number of desks in each secondary classroom.

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Problem 63563

1. Find $\sin 83^{\circ}$ .
2. Find $\cos^{-1} 0.47$ .
3. Find $\tan 16^{\circ}$ .
4. Find $\cot 21^{\circ}$ .
5. Find $\sin^{-1} 0.40$ .

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Problem 63564

Flights from Miami to NYC are delayed $27\%$ of the time. How likely is a flight delay for a traveler?

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Problem 63565

Three coins are flipped. There are 8 outcomes. Find outcomes in sample space, outcomes in event A, and $P(A) = \square$ .

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Problem 63566

A pond starts with 700 liters and water is added at 35 liters/min. Write $W$ as a function of $T$ and find $W$ after 14 mins.

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Problem 63567

Identify the solute and solvent in the following water solutions: $\mathrm{NH}_{3}$ and $\mathrm{Na}_{2} \mathrm{CO}_{3}$ .

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Problem 63568

Justin's total pay $P$ is given by $P = 2100 + 70N$ . Find $P$ if he sells 28 copies: $P = 2100 + 70(28)$ .

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Problem 63569

Find composite functions for $f(x)=9x+7$ and $g(x)=x^{2}$ : (a) $f \circ g$ , (b) $g \circ f$ , (c) $f \circ f$ , (d) $g \circ g$ . State their domains.

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Problem 63570

Find the solutions for the system: $2y=4x+12$ and $y=2x-6$ .

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Problem 63571

Solve the equations: 4x - 3y = 8 and 2x + y = 11. Find the value of $y$ . Choices: $-\frac{8}{3}$ , $-6$ , $14$ , $\frac{14}{5}$ .

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Problem 63572

Calculate the expression: $(4+3) \times 10 \div 2 + (5 \times 6)$ .

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Problem 63573

How many zeros does the function $f(x)=x(x-1)(2 x+4)^{2}$ have? (1 point) Options: 2, 4, 3.

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Problem 63574

Find the composite functions for $f(x)=2x+3$ and $g(x)=x^{2}$ and state their domains: (a) $f \circ g$ , (b) $g \circ f$ , (c) $f \circ f$ , (d) $g \circ g$ .

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Problem 63575

A road starts at 54 miles, increasing by 2 miles daily. Find the equation $L = 54 + 2D$ and total length after 36 days.

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Problem 63576

Qian is one of 12 students. What is the probability he is chosen among 3 leaders? Convert the fraction to a decimal.

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Problem 63577

Calculate the expression: $2.23 - 4.56 + (-1.453)$ .

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Problem 63578

The Sugar Sweet Company has a total cost $C = 7500 + 175S$ . Find the cost to transport 19 tons of sugar.

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Problem 63579

Find the composite functions for $f(x)=6x+8$ and $g(x)=x^{2}$ :
(a) $f \circ g$ , (b) $g \circ f$ , (c) $f \circ f$ , (d) $g \circ g$ . State their domains.

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Problem 63580

Identify the chemical symbols for Magnesium, Arsenic, Krypton, and Hydrogen: Mg, As, Kr, H.

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Problem 63581

Solve for $x$ in the equation: $x - 6 = -13$ .

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Problem 63582

Sam starts with \ $350 and adds \$30 weekly. Write the equation for total savings$ S $after$ W $weeks and find$ S$ after 18 weeks.

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Problem 63583

Calculate the expression: $-3.601 - (-8.2) + 3.2$ .

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Problem 63584

Find $g(x)=3x+2$ for $x = -1, 0, 2, 3, 5$ and complete the function table with the values of $g(x)$ .

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Problem 63585

A pond starts with 300 liters and fills at 29 liters/min. Write $W$ in terms of $T$ and find $W$ after 17 minutes.

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Problem 63586

Find the probability that a job is offered to a woman from 4 men and 8 women. Round the decimal to three places.

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Problem 63587

Solve for $x$ in the equation: $-10.1 = x + 5.3$ .

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Problem 63588

What is the name of the compound $\mathrm{Na}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}$ ?

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Problem 63589

Which element is the best semiconductor for a computer circuit board: Tin, Vanadium, Copper, or Silicon?

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Problem 63590

Given $f(x)=5x+8$ and $g(x)=x^{2}$ , find the composite functions and their domains: (a) $f \circ g$ (b) $g \circ f$ (c) $f \circ f$ (d) $g \circ g$ Find and simplify each expression and state the domain.

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Problem 63591

Calculate $4(15 \div 3)+(6 \times 3)-2^{2}$ and show your work.

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Problem 63592

Find values of $g(x)=3x+2$ for $x=-1, 0, 2, 3, 5$ . Complete the function table.

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Problem 63593

Identify the experiment, trial, and outcome for flipping a fair coin with sides $H$ and $T$ . Select all that apply.

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Problem 63594

Identify the metalloids from the following elements: B (Boron), Si (Silicon), Ge (Germanium). Options: A and C only, All of the Above.

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Problem 63595

Name the compound $\mathrm{FePO}_{4}$ .

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Problem 63596

Find the mean, median, and mode(s) from this stem-and-leaf plot:
0 | 6 1 | 45 2 | 2338 3 | 4
Mean: Median: Mode(s):

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Problem 63597

What is the correct name for the compound $\mathrm{NaC}_{2} \mathrm{H}_{3} \mathrm{O}_{2} \cdot 3 \mathrm{H}_{2} \mathrm{O}$ ?

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Problem 63598

Find values of $f(x)=4x+4$ for $x=-1, 0, 1, 2, 5$ .

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Problem 63599

Given the data pairs (0, 4), (1, 55), (2, 4578), (3, 2), find the mean, median, and mode(s) of the values.

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Problem 63600

Name the compound $\mathrm{Fe}_{2}\left(\mathrm{CrO}_{4}\right)_{3}$ .

See Solution

1 ...633 634 635 636 637 638 639 ...661

Math

Problem 63501

What number can you multiply to eliminate fractions in −34m−12=2+14m-\frac{3}{4} m - \frac{1}{2} = 2 + \frac{1}{4} m−43​m−21​=2+41​m? 2, 3, 4, or 5?

Problem 63502

Find f(x+b)f(x+b)f(x+b) for f(x)=3x2+5x+20xf(x)=3 x^{2}+5 x+20 xf(x)=3x2+5x+20x. Also, compute f(x)g(x)f(x) g(x)f(x)g(x) for f(x)=6x3+5xf(x)=6 x^{3}+5 xf(x)=6x3+5x and g(x)=7x+3g(x)=7 x+3g(x)=7x+3.

Problem 63503

Divide 7,200 by 10 raised to the power of 1. What is the result?

Problem 63504

Find the complex zeros of the polynomial f(x)=x3−15x2+79x−145f(x)=x^{3}-15 x^{2}+79 x-145f(x)=x3−15x2+79x−145.

Problem 63505

What is a trial in Arianna's 10 rolls of a die? Options: one roll, at least one 5, ten rolls, or sum of 40?

Problem 63506

What number can you multiply by to eliminate fractions in the equation 6−34x+13=12x+56-\frac{3}{4} x+\frac{1}{3}=\frac{1}{2} x+56−43​x+31​=21​x+5? Options: 2, 3, 6, 12.

Problem 63507

Graph the supply S(q)=p=32qS(q)=p=\frac{3}{2} qS(q)=p=23​q and demand D(q)=p=81−34qD(q)=p=81-\frac{3}{4} qD(q)=p=81−43​q. Find equilibrium quantity and price.

Problem 63508

Evaluate 4+2×[(29−15)÷2]4 + 2 \times [(29 - 15) \div 2]4+2×[(29−15)÷2]. Find values inside parentheses, brackets, and the entire expression.

Problem 63509

Jacqueline spins a spinner (0-4) 3 times. Are events A (all > 2) and B (sum = 9) independent, dependent, mutually exclusive, or complement?

Problem 63510

Calculate 13,000÷10213,000 \div 10^{2}13,000÷102.

Problem 63511

Solve the equation d−10−2d+7=8+d−10−3dd-10-2d+7=8+d-10-3dd−10−2d+7=8+d−10−3d. What is ddd? Options: −5-5−5, −1-1−1, 111, 555.

Problem 63512

Solve the inequality: x+1x−4>0\frac{x+1}{x-4}>0x−4x+1​>0. Provide your answer in interval notation.

Problem 63513

Find the product of the functions f(x)=3x2+5xf(x)=3 x^{2}+5 xf(x)=3x2+5x and g(x)=7x+3g(x)=7 x+3g(x)=7x+3. What is f(x)g(x)f(x) g(x)f(x)g(x)?

Problem 63514

Find f(3)g(3)f(3) g(3)f(3)g(3) for f(x)=2x2+4x+5f(x)=2 x^{2}+4 x+5f(x)=2x2+4x+5 and g(x)=x2+x+1g(x)=x^{2}+x+1g(x)=x2+x+1.

Problem 63515

If yyy varies directly with xxx and yyy is 72 when xxx is 9, find yyy when xxx is 17. y=[?]y=[?]y=[?]

Problem 63516

Problem 63517

Solve the equation 2.8y+6+0.2y=5y−142.8y + 6 + 0.2y = 5y - 142.8y+6+0.2y=5y−14. Find the value of yyy. Options: −10-10−10, −1-1−1, 111, 101010.

Problem 63518

Solve for yyy in the equation: y+6=−3y+26y + 6 = -3y + 26y+6=−3y+26. Options: −8-8−8, −5-5−5, 555, 888.

Problem 63519

Find the function d(t)d(t)d(t) for a car that travels 372 miles in 6 hours from Lubbock to Austin.

Problem 63520

Solve the equation: 23x−12=13+56x\frac{2}{3} x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6} x32​x−21​=31​+65​x. What is xxx?

Problem 63521

Identify the graph of the function from reflecting f(x)=14(8)xf(x)=\frac{1}{4}(8)^{x}f(x)=41​(8)x across the y-axis and x-axis.

Problem 63522

What is the maximum mass of H2OH_{2}OH2​O produced from 8.0 g8.0 \mathrm{~g}8.0 g of N2H4N_{2}H_{4}N2​H4​ and 92 g92 \mathrm{~g}92 g of N2O4N_{2}O_{4}N2​O4​?

Problem 63523

Find two circle sectors from different circles that each have an area of 10π10 \pi10π.

Problem 63524

A researcher randomly selects a vitamin. Define events XXX (selecting A) and YYY (selecting even-labeled vitamins). Arrange a Venn diagram for XXX, YYY, or X∩YX \cap YX∩Y.

Problem 63525

Find the product f(x)g(x)f(x) g(x)f(x)g(x) for f(x)=3x2+4x+5f(x)=3 x^{2}+4 x+5f(x)=3x2+4x+5 and g(x)=x2+x+1g(x)=x^{2}+x+1g(x)=x2+x+1.

Problem 63526

Find all real zeros of the polynomial f(x)=2x4+x3−7x2−3x+3f(x)=2 x^{4}+x^{3}-7 x^{2}-3 x+3f(x)=2x4+x3−7x2−3x+3 and factor it over the reals.

Problem 63527

Find the value of the piecewise function f(x)f(x)f(x) at x=−4x = -4x=−4.

Problem 63528

Problem 63529

A biologist has butterfly specimens of colors G, R, Y and ages 1-6 months. Place dots on a Venn diagram for events AAA (yellow) and BBB (older than 2 months).

Problem 63530

What is the graph of f(x)=14(8)xf(x)=\frac{1}{4}(8)^{x}f(x)=41​(8)x after reflecting it across the yyy-axis and then the xxx-axis?

Problem 63531

Problem 63532

Problem 63533

Calculate −94÷47-94 \div 47−94÷47.

Problem 63534

Problem 63535

A biologist has butterfly specimens of colors G, R, Y and ages 1-6 months. Identify specimens in events AAA, BBB, or A∩BA \cap BA∩B.

Problem 63536

Convert the mixed number 15121 \frac{5}{12}1125​ to its decimal form.

Problem 63537

Calculate: 10. 52⋅(−6)52 \cdot(-6)52⋅(−6) and 13. −94÷47-94 \div 47−94÷47.

Problem 63538

Find the probability of drawing a 7 from a standard 52-card deck. Express your answer as a fraction.

Problem 63539

Calculate the value of −3⋅(−8)÷(−6)-3 \cdot(-8) \div(-6)−3⋅(−8)÷(−6).

Problem 63540

Rewrite f(x)=x2+6xf(x)=x^{2}+6 xf(x)=x2+6x in vertex form and find its roots (i.e. xxx-intercepts).

Problem 63541

Calculate the product of 52 and -6: 52⋅(−6)52 \cdot (-6)52⋅(−6).

Problem 63542

Solve for ppp: 2.6(5.5p−12.4)=127.922.6(5.5 p-12.4)=127.922.6(5.5p−12.4)=127.92. Use the distributive, addition, and division properties.

What number can you multiply to eliminate fractions in $-\frac{3}{4} m - \frac{1}{2} = 2 + \frac{1}{4} m$ ? 2, 3, 4, or 5?

Find $f(x+b)$ for $f(x)=3 x^{2}+5 x+20 x$ . Also, compute $f(x) g(x)$ for $f(x)=6 x^{3}+5 x$ and $g(x)=7 x+3$ .

Find the complex zeros of the polynomial $f(x)=x^{3}-15 x^{2}+79 x-145$ .

What number can you multiply by to eliminate fractions in the equation $6-\frac{3}{4} x+\frac{1}{3}=\frac{1}{2} x+5$ ? Options: 2, 3, 6, 12.

Graph the supply $S(q)=p=\frac{3}{2} q$ and demand $D(q)=p=81-\frac{3}{4} q$ . Find equilibrium quantity and price.

Evaluate $4 + 2 \times [(29 - 15) \div 2]$ . Find values inside parentheses, brackets, and the entire expression.

Calculate $13,000 \div 10^{2}$ .

Solve the equation $d-10-2d+7=8+d-10-3d$ . What is $d$ ? Options: $-5$ , $-1$ , $1$ , $5$ .

Solve the inequality: $\frac{x+1}{x-4}>0$ . Provide your answer in interval notation.

Find the product of the functions $f(x)=3 x^{2}+5 x$ and $g(x)=7 x+3$ . What is $f(x) g(x)$ ?

Find $f(3) g(3)$ for $f(x)=2 x^{2}+4 x+5$ and $g(x)=x^{2}+x+1$ .

If $y$ varies directly with $x$ and $y$ is 72 when $x$ is 9, find $y$ when $x$ is 17. $y=[?]$

Solve the equation $2.8y + 6 + 0.2y = 5y - 14$ . Find the value of $y$ . Options: $-10$ , $-1$ , $1$ , $10$ .

Solve for $y$ in the equation: $y + 6 = -3y + 26$ . Options: $-8$ , $-5$ , $5$ , $8$ .

Find the function $d(t)$ for a car that travels 372 miles in 6 hours from Lubbock to Austin.

Solve the equation: $\frac{2}{3} x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6} x$ . What is $x$ ?

Identify the graph of the function from reflecting $f(x)=\frac{1}{4}(8)^{x}$ across the y-axis and x-axis.

What is the maximum mass of $H_{2}O$ produced from $8.0 \mathrm{~g}$ of $N_{2}H_{4}$ and $92 \mathrm{~g}$ of $N_{2}O_{4}$ ?

Find two circle sectors from different circles that each have an area of $10 \pi$ .

A researcher randomly selects a vitamin. Define events $X$ (selecting A) and $Y$ (selecting even-labeled vitamins). Arrange a Venn diagram for $X$ , $Y$ , or $X \cap Y$ .

Find the product $f(x) g(x)$ for $f(x)=3 x^{2}+4 x+5$ and $g(x)=x^{2}+x+1$ .

Find all real zeros of the polynomial $f(x)=2 x^{4}+x^{3}-7 x^{2}-3 x+3$ and factor it over the reals.

Find the value of the piecewise function $f(x)$ at $x = -4$ .

A biologist has butterfly specimens of colors G, R, Y and ages 1-6 months. Place dots on a Venn diagram for events $A$ (yellow) and $B$ (older than 2 months).

What is the graph of $f(x)=\frac{1}{4}(8)^{x}$ after reflecting it across the $y$ -axis and then the $x$ -axis?

Calculate $-94 \div 47$ .

A biologist has butterfly specimens of colors G, R, Y and ages 1-6 months. Identify specimens in events $A$ , $B$ , or $A \cap B$ .

Convert the mixed number $1 \frac{5}{12}$ to its decimal form.

Calculate: 10. $52 \cdot(-6)$ and 13. $-94 \div 47$ .

Calculate the value of $-3 \cdot(-8) \div(-6)$ .

Rewrite $f(x)=x^{2}+6 x$ in vertex form and find its roots (i.e. $x$ -intercepts).

Calculate the product of 52 and -6: $52 \cdot (-6)$ .

Solve for $p$ : $2.6(5.5 p-12.4)=127.92$ . Use the distributive, addition, and division properties.

Convert the mixed number to a decimal: $5 \frac{3}{20}=$

Calculate the value of $5 \frac{3}{20}$ .

Find the probability of exactly 5 Mexican-Americans among 12 jurors: $P(x=5)=$ . Also, find $P(x \leq 5)=$ . Round to four decimal places.

Find $(f \circ g)(4)$ , $(g \circ f)(2)$ , $(f \circ f)(1)$ , and $(g \circ g)(0)$ for $f(x)=3x$ and $g(x)=6x^2+6$ .

Find all $\theta$ in $[0^{\circ}, 360^{\circ})$ such that $\sin \theta = \frac{\sqrt{3}}{2}$ .

Find all $\theta$ in $[0^{\circ}, 360^{\circ})$ such that $\cos \theta=\frac{\sqrt{2}}{2}$ .

Calculate $52 \cdot(-6)$ .

Find the standard deviation of the sample: 29, 36, 42, 45, 48, 50, 50, 51, 53, 55, 59, 59. r.v. $=$

Identify the experiment, trial, and outcome for rolling a six-sided die with sides $1, 2, 3, 4, 5, 6$ .

Find all values of $\theta$ in $[0^{\circ}, 360^{\circ})$ such that $\csc \theta = \frac{2 \sqrt{3}}{3}$ .

Find the composite functions for $f(x)=9x+7$ and $g(x)=x^{2}$ : (a) $f \circ g$ , (b) $g \circ f$ , (c) $f \circ f$ , (d) $g \circ g$ . State each domain.

Find all $\theta$ in $[0^{\circ}, 360^{\circ})$ where $\tan \theta = -\sqrt{3}$ .

Kevin starts with \ $750 in savings and adds \$70 weekly. Write$ S $as a function of$ W $and find$ S$ after 11 weeks.

Find the following: (a) $(f \circ g)(4)$ for $f(x)=3x$ and $g(x)=6x^2+6$ (b) $(g \circ f)(2)$ (c) $(f \circ f)(1)$ (d) $(g \circ g)(0)$

There are 150 new employees divided into groups A, B, C, D, and E with 30 each. Find $P(C)$ for group C.

Find the standard deviation of the sample: 29, 36, 42, 45, 48, 50, 50, 51, 53, 55, 59, 59. Round as needed. $\text{r.v.} =$

1. Find $\sin 83^{\circ}$ .
2. Find $\cos^{-1} 0.47$ .
3. Find $\tan 16^{\circ}$ .
4. Find $\cot 21^{\circ}$ .
5. Find $\sin^{-1} 0.40$ .

Flights from Miami to NYC are delayed $27\%$ of the time. How likely is a flight delay for a traveler?

Three coins are flipped. There are 8 outcomes. Find outcomes in sample space, outcomes in event A, and $P(A) = \square$ .

A pond starts with 700 liters and water is added at 35 liters/min. Write $W$ as a function of $T$ and find $W$ after 14 mins.

Identify the solute and solvent in the following water solutions: $\mathrm{NH}_{3}$ and $\mathrm{Na}_{2} \mathrm{CO}_{3}$ .

Justin's total pay $P$ is given by $P = 2100 + 70N$ . Find $P$ if he sells 28 copies: $P = 2100 + 70(28)$ .

Find composite functions for $f(x)=9x+7$ and $g(x)=x^{2}$ : (a) $f \circ g$ , (b) $g \circ f$ , (c) $f \circ f$ , (d) $g \circ g$ . State their domains.

Find the solutions for the system: $2y=4x+12$ and $y=2x-6$ .

Solve the equations: 4x - 3y = 8 and 2x + y = 11. Find the value of $y$ . Choices: $-\frac{8}{3}$ , $-6$ , $14$ , $\frac{14}{5}$ .

Calculate the expression: $(4+3) \times 10 \div 2 + (5 \times 6)$ .

How many zeros does the function $f(x)=x(x-1)(2 x+4)^{2}$ have? (1 point) Options: 2, 4, 3.

Find the composite functions for $f(x)=2x+3$ and $g(x)=x^{2}$ and state their domains: (a) $f \circ g$ , (b) $g \circ f$ , (c) $f \circ f$ , (d) $g \circ g$ .