Solve

Problem 2001

Find the value of $a$ in the equation $48\%=\frac{a}{25}$ .

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Problem 2002

Find $n$ , $d$ , and $p$ such that $\frac{n}{100}=\frac{1}{d}=p \%$ .

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Problem 2003

А) 20. Ако $x: y=2: 3$ , $x: z=4: 3$ и $2x-y+z=15$ , намерете стойността на $y$ .

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Problem 2004

A spiral is made of semicircles with the first diameter $10 \mathrm{~cm}$ , each next being $\frac{4}{5}$ of the last.
1) Find the total length of the spiral.
2) How far is point $E$ (midpoint of the 6th semicircle) from point $A$ ?

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Problem 2005

Find the actual distance from town A to town B at a scale of 1 cm: 100 km. Choose A-D. 400 cm, 400 km, 25 km, 0.04 cm.

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Problem 2006

Find the probability of the letter $O$ in "BOOK". What is the distance from town $A$ to town $B$ at a scale of $1 \mathrm{~cm}: 100 \mathrm{~km}$ ? Round 55.89934 to three decimals.

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Problem 2007

Complete the table for half-yearly compounded interest:
Principal: \$40000, Rate: 4\%, Time: 1yr; Principal: \$27500, Rate: 6\%, Time: 2yrs; Principal: \$8000, Rate: 10\%, Time: 1.5yrs. Calculate the amounts.

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Problem 2008

Find the principal amount deposited at $10\%$ p.a. if it grows to \$31,460 after 2 years.

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Problem 2009

Find the compound interest on \$70000 at 6\% p.a. compounded monthly after 8 months.

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Problem 2010

Find the compound interest on \$ 38000 borrowed at 4\% p.a. compounded quarterly after 2.5 years.

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Problem 2011

Find the principal amount deposited at 10% p.a. if it grows to \$31460 in 2 years.

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Problem 2012

Solve for $x$ : $-3 x = 6 x - 15 x^{2}$ .

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Problem 2013

Berechne den Flächeninhalt $A$ des Dreiecks und die gesuchten Längen: a) $h_a$ , b) $h_b$ , c) $h_c$ , d) $h_b$ .

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Problem 2014

Find the rectangle dimensions and max area with a perimeter of $36 \mathrm{~mm}$ . Dimensions: $\mathbf{mm}$ , Area: $\mathrm{mm}^{2}$ .

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Problem 2015

Berechne den Flächeninhalt $A$ des Dreiecks und die gesuchten Längen: a) $c=7,2 \mathrm{~cm}, a=4 \mathrm{~cm}, h_{c}=3,5 \mathrm{~cm} ; h_{a}=$ ? b) $a=9,6 \mathrm{~cm}, b=4 \mathrm{~cm}, h_{a}=5,5 \mathrm{~cm} ; h_{b}=$ ? c) $b=12 \mathrm{~cm}, h_{b}=9,5 \mathrm{~cm}, h_{c}=19 \mathrm{~cm} ; c=$ ? d) $c=11,2 \mathrm{~cm}, h_{c}=7,7 \mathrm{~cm}, h_{b}=5,6 \mathrm{~cm} ; b=$ ?

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Problem 2016

Berechne die gesuchten Längen für die gegebenen Flächeninhalte und Höhen der Dreiecke:
a) $A=17,55 \mathrm{~cm}^{2}, a=7,8 \mathrm{~cm}, h_{a}=$ ?
b) $A=2340 \mathrm{~mm}^{2}, h_{b}=36 \mathrm{~mm}, b=$ ?
c) $A=18,25 \mathrm{~cm}^{2}, c=73 \mathrm{~mm}, h_{c}=$ ?
d) $A=34,1 \mathrm{~cm}^{2}, h_{a}=62 \mathrm{~mm}, a=$ ?

See Solution

Problem 2017

Berechne die Höhe auf die Hypotenuse $c$ für die gegebenen Seitenlängen: a) $c=5 \mathrm{~cm}, a=3 \mathrm{~cm}, b=4 \mathrm{~cm}$ ; b) $c=25 \mathrm{~cm}, a=15 \mathrm{~cm}, b=20 \mathrm{~cm}$ .

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Problem 2018

Convert $124_{6}$ to base ten to find the total number of pens in the box.

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Problem 2019

En un colegio hay 648 estudiantes. 5/9 son varones. Calcula: I. Parte de varones que practica deporte. II. Número de varones. III. Parte de mujeres que practica deporte. IV. Número de mujeres.

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Problem 2020

Berechne das Guthaben nach 10 Jahren, wenn jährlich 5 mal $1000 €$ und 3 mal $800 €$ bei 0,7\% Zinsen eingezahlt werden.

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Problem 2021

Calculate the product: $\frac{5}{8} \times \frac{2}{3} =$ .

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Problem 2022

Evaluate the expression $6^{2} - (3^{2} + 1)$ .

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Problem 2023

Divide 14 kids in Camp A and 21 kids in Camp B into equal-sized groups. How many kids are in each group?

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Problem 2024

Divide 14 kids in Camp A and 21 kids in Camp B into equal-sized groups. How many kids are in each group?

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Problem 2025

Jane buys 1 carton of eggs every 10 days for \$3.50. With \$20, how many days of eggs can she buy and how many cartons?

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Problem 2026

Calculate $6^{2} - (3^{2} + 1)$ .

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Problem 2027

A Tik Tokker gains 20 more subscribers daily, starting with 100 on day 1. How many total subscribers after 5 days?

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Problem 2028

Solve the equation $4x + 2 = 2(5 - 2x)$ .

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Problem 2029

Solve for $x$ in the equation $7x + 4 = 39$ . What is the value of $x$ ? Options: 4, 5, 35, 43.

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Problem 2030

Solve for $x$ : $x + \frac{6}{x} = 5$ .

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Problem 2031

Find $\sin \theta$ given $\csc \theta = \frac{\sqrt{44}}{5}$ . Rationalize denominators if needed.

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Problem 2032

Calculate $64500 \cdot 10^{3}$ .

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Problem 2033

Find the other trigonometric functions of $\theta$ if $\sin \theta=-\frac{\sqrt{3}}{6}$ and $\cos \theta>0$ .

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Problem 2034

Find the remaining trigonometric functions of $\theta$ if $\sin \theta=\frac{\sqrt{3}}{6}$ and $\cos \theta>0$ . What is $\cos \theta$ ?

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Problem 2035

Find $\sin \theta$ given $\csc \theta = \frac{\sqrt{20}}{4}$ . Simplify your answer, including any radicals.

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Problem 2036

Find $\cos \theta$ if $\sin \theta=\frac{4}{5}$ and $\theta$ is in quadrant I.

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Problem 2037

Find $\tan \theta$ if $\sin \theta = -\frac{1}{2}$ and $\theta$ is in quadrant IV.

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Problem 2038

Find the remaining trigonometric functions of $\theta$ if $\tan \theta=-\frac{3}{4}$ in quadrant II.

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Problem 2039

Find the exact values of $\sin \theta$ and $\cos \theta$ if $\tan \theta = -\frac{3}{4}$ in quadrant II.

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Problem 2040

Find the other trigonometric functions of $\theta$ if $\tan \theta=-\frac{3}{4}$ in quadrant II.

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Problem 2041

Find all trigonometric functions for $\theta$ if $\tan \theta=-\frac{3}{4}$ in quadrant II.

See Solution

Problem 2042

Simplify: $\frac{18}{3}=$

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Problem 2043

What is the probability of guessing a 5-digit code from 5 unique numbers? A. $\frac{1}{12}$ B. $\frac{1}{120}$ C. $\frac{1}{40}$ D. $\frac{1}{60}$

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Problem 2044

Find $\sin \theta$ given $\csc \theta = \frac{\sqrt{117}}{6}$ . Simplify your answer.

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Problem 2045

Find $\sin \theta$ given $\csc \theta = \frac{\sqrt{18}}{4}$ . Simplify and rationalize if needed.

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Problem 2046

Aaron filled a bird bath with 64 ounces. After blue jays drank 5.17 ounces and a vulture drank $11 \frac{4}{5}$ ounces, how much is left?

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Problem 2047

Find $\sin \theta$ given $\csc \theta = \frac{\sqrt{44}}{2}$ . Simplify your answer.

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Problem 2048

Find (a) the complement and (b) the supplement of an angle measuring $17^{\circ} 15^{\prime}$ .

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Problem 2049

Find $\csc \theta$ if $\cot \theta = -\frac{1}{6}$ and $\theta$ is in quadrant IV.

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Problem 2050

Jodie spent $40 \frac{1}{4}$ seconds and 12.84 seconds. How much time does she need to match 68.2 seconds?

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Problem 2051

Calculate $2 \frac{3}{8} + \left(-4 \frac{1}{4}\right)$ . Choose from: $-2 \frac{1}{3}$ , $-1 \frac{7}{8}$ , $1 \frac{7}{8}$ , $2 \frac{1}{2}$ .

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Problem 2052

Find (a) the complement and (b) the supplement of an angle measuring $17^{\circ} 15^{\prime}$ .

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Problem 2053

Freddie needs \$120,000 for a prototype and pays \$9,000 interest yearly. What is the annual interest rate in percent?

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Problem 2054

Find the complement and supplement of an angle measuring $22^{\circ} 13^{\prime}$ .

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Problem 2055

How many elements are in the union of sets A and B if A has 8 elements, B has 20, and 5 are common?

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Problem 2056

If the final price is \$3 after halving the new price, what was the original price before the \$2 increase?

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Problem 2057

Solve the equation: $\frac{1}{4}\left(x+\frac{1}{2}\right)=\frac{7}{8}$ .

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Problem 2058

Calculate the sum of the points on a number line from -2 to 2. Possible answers: (A) -4, (B) 0, (C) 2, (D) 4.

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Problem 2059

Solve for $x$ in the equation $\frac{1}{2} x - 2 = \frac{1}{5}$ .

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Problem 2060

Solve for $x$ : $\frac{x-5}{5}=\frac{3}{5}$ .

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Problem 2061

Two cities are 3.75 inches apart on a map where 2 inches = 50 miles. How far apart are they in miles?

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Problem 2062

Round $6.24159$ to two decimal places.

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Problem 2063

Concert tickets cost \$35 and \$55. If 95 tickets sold for \$4325, find how many of each type were sold.

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Problem 2064

Mr. Barton's garden has sides $16 \mathrm{ft}$ , $x \mathrm{ft}$ , $x \mathrm{ft}$ , and $20 \mathrm{ft}$ . If the perimeter is $60 \mathrm{ft}$ , find $x$ . Options: (A) $12 \mathrm{ft}$ (B) $15 \mathrm{ft}$ (C) $18 \mathrm{ft}$ (D) $24 \mathrm{ft}$ .

See Solution

Problem 2065

What is the inverse of the function $f(x)=4x$ ?

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Problem 2066

Mr. Barton's rectangular garden has a top side of 16 ft, bottom side of 20 ft, and perimeter of 60 ft. Find $x$ .

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Problem 2067

A diver descends to 18 feet, ascends 7 feet, then descends 18 feet again. What's the final depth? (A) -29 (B) -43 (C) 29 (D) 43

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Problem 2068

What is the circumference of a circle drawn with a 10-inch chain? Use $\pi \approx 3.14$ . Options: (A) 15.70 (B) 23.14 (C) 31.40 (D) 62.80.

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Problem 2069

Find the inverse of the function $f(x)=2x+1$ .

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Problem 2070

Find the inverse of the function $f(x)=\frac{1}{9} x+2$ .

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Problem 2071

Find $f(8)$ for the function $f(x)=6x-4$ .

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Problem 2072

Find $f(10)$ for the function $f(x)=\frac{x}{2}+8$ .

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Problem 2073

Find the distance from the Tax Office at $(-1.5,-1)$ to the Gas Station at $(3,4)$ , rounded to the nearest tenth.

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Problem 2074

Solve for $m$ in the equation $\frac{4}{m-8}=\frac{8}{2}$ .

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Problem 2075

Find the distance between points $A$ at 14 and $D$ at 50 on a number line.

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Problem 2076

Solve for $x$ in the equation $\frac{37}{x}=\frac{92}{18}$ .

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Problem 2077

Find the integral $\int \frac{x^{2}}{x^{3}+9} d x$ and provide the result in terms of $c$ .

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Problem 2078

Calculate the distance between points A(4,9) and B(2,-3) using the formula $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ .

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Problem 2079

Calculate the distance between points A(4,9) and C(9,0) using the formula $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ .

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Problem 2080

Calculate the distance between points B(2,-3) and C(9,0) using the formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ .

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Problem 2081

Bob spent \$19.83 and Sally \$24.76 on lunches. What was their total spending?

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Problem 2082

Find the distances between points A(4,9), B(-2,-3), and C(0,0). Round to the nearest tenth.

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Problem 2083

John shovels snow for 5 houses in 2 hours. How long for 13 houses?

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Problem 2084

Calvin sells large paintings for \$ 56.25 and small ones for \$ 34.89. How much does he make selling one of each?

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Problem 2085

Dan completes a painting every 3 weeks. John shovels snow for 5 houses in 2 hours. How long for 13 houses? Baxter boys prep 25 papers in 3 min. Time for 131 papers?

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Problem 2086

Brenda earns \$25 for 3 hours of babysitting. How much for 7.5 hours? Dan paints every 3 weeks; how many in a year? John shovels 5 houses in 2 hours; how long for 13? Baxter boys prep 25 papers in 3 min; time for 131?

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Problem 2087

Find the integral of $\sqrt{x} \ln x$ with respect to $x$ : $\int \sqrt{x} \ln x \, dx$ .

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Problem 2088

A boat is 150 m from a lighthouse's base with a $34^{\circ}$ elevation angle. Find the boat's distance from the cliff.

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Problem 2089

1. A boat sees a lighthouse foot at $34^{\circ}$ elevation; cliff height is 150 m. Find the boat's distance from the cliff base.
2. Flying at $037^{\circ}$ , turn left $45^{\circ}$ . What is the new heading?

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Problem 2090

Find the $x$ intercept $r$ of the line through points $(2, -3)$ and $(4, 4)$ . What is $r$ ?

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Problem 2091

How many miles can Chris drive in the city with a hybrid car averaging 44 miles per gallon and a 13.2-gallon tank?

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Problem 2092

Find how many men are needed to move $x$ boxes and how many of 680 bulbs are non-defective. Choose the correct option.

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Problem 2093

Evaluate $(4a+c) \div b - (bd) \div(ac)$ for $a=-2$ , $b=3$ , $c=-1$ , $d=1$ . What is the result?

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Problem 2094

Mia has 5.5 pints and needs to convert it to liters using the conversion rate of 0.4732 liters per pint. What is the result?

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Problem 2095

Solve the equations: $y=-2x$ and $y=x^2-8$ . Find the correct points from the options given.

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Problem 2096

Find the solutions of $3 x^{2}-10 x+5=0$ using the quadratic formula. Choose the correct option.

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Problem 2097

Solve the equation $x^{2}-3 x+1=0$ using the quadratic formula and choose the correct solution.

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Problem 2098

Solve $8 x^{2}+56 x=0$ and identify the correct solutions: A. $x=7$ , B. $x=8$ , C. $x=0$ , D. $x=-7$ .

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Problem 2099

Solve the equation $x^{2}+10 x+25=2$ by completing the square. Which solutions are correct? A. $x=-5+\sqrt{2}$ B. $x=-5-\sqrt{2}$ C. $x=5+\sqrt{2}$ D. $x=5-\sqrt{2}$

See Solution

Problem 2100

Solve for $x$ in the equation $x^{2}=27$ . Choices are: A. $\pm 9 \sqrt{2}$ B. $\pm 3 \sqrt{9}$ C. $\pm 3 \sqrt{3}$ D. $\pm 9 \sqrt{3}$ .

See Solution

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Solve

Problem 2001

Find the value of aaa in the equation 48%=a2548\%=\frac{a}{25}48%=25a​.

Problem 2002

Find nnn, ddd, and ppp such that n100=1d=p%\frac{n}{100}=\frac{1}{d}=p \%100n​=d1​=p%.

Problem 2003

А) 20. Ако x:y=2:3x: y=2: 3x:y=2:3, x:z=4:3x: z=4: 3x:z=4:3 и 2x−y+z=152x-y+z=152x−y+z=15, намерете стойността на yyy.

Problem 2004

A spiral is made of semicircles with the first diameter 10 cm10 \mathrm{~cm}10 cm, each next being 45\frac{4}{5}54​ of the last. 1) Find the total length of the spiral.2) How far is point EEE (midpoint of the 6th semicircle) from point AAA?

Problem 2005

Find the actual distance from town A to town B at a scale of 1 cm: 100 km. Choose A-D. 400 cm, 400 km, 25 km, 0.04 cm.

Problem 2006

Find the probability of the letter OOO in "BOOK". What is the distance from town AAA to town BBB at a scale of 1 cm:100 km1 \mathrm{~cm}: 100 \mathrm{~km}1 cm:100 km? Round 55.89934 to three decimals.

Problem 2007

Complete the table for half-yearly compounded interest: Principal: \$40000, Rate: 4\%, Time: 1yr; Principal: \$27500, Rate: 6\%, Time: 2yrs; Principal: \$8000, Rate: 10\%, Time: 1.5yrs. Calculate the amounts.

Problem 2008

Find the principal amount deposited at 10%10\%10% p.a. if it grows to \$31,460 after 2 years.

Problem 2009

Find the compound interest on \$70000 at 6\% p.a. compounded monthly after 8 months.

Problem 2010

Find the compound interest on \$ 38000 borrowed at 4\% p.a. compounded quarterly after 2.5 years.

Problem 2011

Find the principal amount deposited at 10% p.a. if it grows to \$31460 in 2 years.

Problem 2012

Solve for xxx: −3x=6x−15x2-3 x = 6 x - 15 x^{2}−3x=6x−15x2.

Problem 2013

Berechne den Flächeninhalt AAA des Dreiecks und die gesuchten Längen: a) hah_aha​, b) hbh_bhb​, c) hch_chc​, d) hbh_bhb​.

Problem 2014

Find the rectangle dimensions and max area with a perimeter of 36 mm36 \mathrm{~mm}36 mm. Dimensions: mm\mathbf{mm}mm, Area: mm2\mathrm{mm}^{2}mm2.

Problem 2015

Problem 2016

Problem 2017

Berechne die Höhe auf die Hypotenuse ccc für die gegebenen Seitenlängen: a) c=5 cm,a=3 cm,b=4 cmc=5 \mathrm{~cm}, a=3 \mathrm{~cm}, b=4 \mathrm{~cm}c=5 cm,a=3 cm,b=4 cm; b) c=25 cm,a=15 cm,b=20 cmc=25 \mathrm{~cm}, a=15 \mathrm{~cm}, b=20 \mathrm{~cm}c=25 cm,a=15 cm,b=20 cm.

Problem 2018

Convert 1246124_{6}1246​ to base ten to find the total number of pens in the box.

Problem 2019

En un colegio hay 648 estudiantes. 5/9 son varones. Calcula: I. Parte de varones que practica deporte. II. Número de varones. III. Parte de mujeres que practica deporte. IV. Número de mujeres.

Problem 2020

Berechne das Guthaben nach 10 Jahren, wenn jährlich 5 mal 1000€1000 €1000€ und 3 mal 800€800 €800€ bei 0,7\% Zinsen eingezahlt werden.

Problem 2021

Calculate the product: 58×23=\frac{5}{8} \times \frac{2}{3} =85​×32​=.

Problem 2022

Evaluate the expression 62−(32+1)6^{2} - (3^{2} + 1)62−(32+1).

Problem 2023

Divide 14 kids in Camp A and 21 kids in Camp B into equal-sized groups. How many kids are in each group?

Problem 2024

Divide 14 kids in Camp A and 21 kids in Camp B into equal-sized groups. How many kids are in each group?

Problem 2025

Jane buys 1 carton of eggs every 10 days for \$3.50. With \$20, how many days of eggs can she buy and how many cartons?

Problem 2026

Calculate 62−(32+1)6^{2} - (3^{2} + 1)62−(32+1).

Problem 2027

A Tik Tokker gains 20 more subscribers daily, starting with 100 on day 1. How many total subscribers after 5 days?

Problem 2028

Solve the equation 4x+2=2(5−2x)4x + 2 = 2(5 - 2x)4x+2=2(5−2x).

Problem 2029

Solve for xxx in the equation 7x+4=397x + 4 = 397x+4=39. What is the value of xxx? Options: 4, 5, 35, 43.

Problem 2030

Solve for xxx: x+6x=5x + \frac{6}{x} = 5x+x6​=5.

Problem 2031

Find sin⁡θ\sin \thetasinθ given csc⁡θ=445\csc \theta = \frac{\sqrt{44}}{5}cscθ=544​​. Rationalize denominators if needed.

Problem 2032

Calculate 64500⋅10364500 \cdot 10^{3}64500⋅103.

Problem 2033

Find the other trigonometric functions of θ\thetaθ if sin⁡θ=−36\sin \theta=-\frac{\sqrt{3}}{6}sinθ=−63​​ and cos⁡θ>0\cos \theta>0cosθ>0.

Problem 2034

Find the remaining trigonometric functions of θ\thetaθ if sin⁡θ=36\sin \theta=\frac{\sqrt{3}}{6}sinθ=63​​ and cos⁡θ>0\cos \theta>0cosθ>0. What is cos⁡θ\cos \thetacosθ?

Problem 2035

Find sin⁡θ\sin \thetasinθ given csc⁡θ=204\csc \theta = \frac{\sqrt{20}}{4}cscθ=420​​. Simplify your answer, including any radicals.

Problem 2036

Find cos⁡θ\cos \thetacosθ if sin⁡θ=45\sin \theta=\frac{4}{5}sinθ=54​ and θ\thetaθ is in quadrant I.

Problem 2037

Find tan⁡θ\tan \thetatanθ if sin⁡θ=−12\sin \theta = -\frac{1}{2}sinθ=−21​ and θ\thetaθ is in quadrant IV.

Problem 2038

Find the remaining trigonometric functions of θ\thetaθ if tan⁡θ=−34\tan \theta=-\frac{3}{4}tanθ=−43​ in quadrant II.

Problem 2039

Find the exact values of sin⁡θ\sin \thetasinθ and cos⁡θ\cos \thetacosθ if tan⁡θ=−34\tan \theta = -\frac{3}{4}tanθ=−43​ in quadrant II.

Problem 2040

Find the other trigonometric functions of θ\thetaθ if tan⁡θ=−34\tan \theta=-\frac{3}{4}tanθ=−43​ in quadrant II.

Problem 2041

Find the value of $a$ in the equation $48\%=\frac{a}{25}$ .

Find $n$ , $d$ , and $p$ such that $\frac{n}{100}=\frac{1}{d}=p \%$ .

А) 20. Ако $x: y=2: 3$ , $x: z=4: 3$ и $2x-y+z=15$ , намерете стойността на $y$ .

A spiral is made of semicircles with the first diameter $10 \mathrm{~cm}$ , each next being $\frac{4}{5}$ of the last.
1) Find the total length of the spiral.
2) How far is point $E$ (midpoint of the 6th semicircle) from point $A$ ?

Find the probability of the letter $O$ in "BOOK". What is the distance from town $A$ to town $B$ at a scale of $1 \mathrm{~cm}: 100 \mathrm{~km}$ ? Round 55.89934 to three decimals.

Complete the table for half-yearly compounded interest:
Principal: \$40000, Rate: 4\%, Time: 1yr; Principal: \$27500, Rate: 6\%, Time: 2yrs; Principal: \$8000, Rate: 10\%, Time: 1.5yrs. Calculate the amounts.

Find the principal amount deposited at $10\%$ p.a. if it grows to \$31,460 after 2 years.

Solve for $x$ : $-3 x = 6 x - 15 x^{2}$ .

Berechne den Flächeninhalt $A$ des Dreiecks und die gesuchten Längen: a) $h_a$ , b) $h_b$ , c) $h_c$ , d) $h_b$ .

Find the rectangle dimensions and max area with a perimeter of $36 \mathrm{~mm}$ . Dimensions: $\mathbf{mm}$ , Area: $\mathrm{mm}^{2}$ .

Berechne die Höhe auf die Hypotenuse $c$ für die gegebenen Seitenlängen: a) $c=5 \mathrm{~cm}, a=3 \mathrm{~cm}, b=4 \mathrm{~cm}$ ; b) $c=25 \mathrm{~cm}, a=15 \mathrm{~cm}, b=20 \mathrm{~cm}$ .

Convert $124_{6}$ to base ten to find the total number of pens in the box.

Berechne das Guthaben nach 10 Jahren, wenn jährlich 5 mal $1000 €$ und 3 mal $800 €$ bei 0,7\% Zinsen eingezahlt werden.

Calculate the product: $\frac{5}{8} \times \frac{2}{3} =$ .

Evaluate the expression $6^{2} - (3^{2} + 1)$ .

Calculate $6^{2} - (3^{2} + 1)$ .

Solve the equation $4x + 2 = 2(5 - 2x)$ .

Solve for $x$ in the equation $7x + 4 = 39$ . What is the value of $x$ ? Options: 4, 5, 35, 43.

Solve for $x$ : $x + \frac{6}{x} = 5$ .

Find $\sin \theta$ given $\csc \theta = \frac{\sqrt{44}}{5}$ . Rationalize denominators if needed.

Calculate $64500 \cdot 10^{3}$ .

Find the other trigonometric functions of $\theta$ if $\sin \theta=-\frac{\sqrt{3}}{6}$ and $\cos \theta>0$ .

Find the remaining trigonometric functions of $\theta$ if $\sin \theta=\frac{\sqrt{3}}{6}$ and $\cos \theta>0$ . What is $\cos \theta$ ?

Find $\sin \theta$ given $\csc \theta = \frac{\sqrt{20}}{4}$ . Simplify your answer, including any radicals.

Find $\cos \theta$ if $\sin \theta=\frac{4}{5}$ and $\theta$ is in quadrant I.

Find $\tan \theta$ if $\sin \theta = -\frac{1}{2}$ and $\theta$ is in quadrant IV.

Find the remaining trigonometric functions of $\theta$ if $\tan \theta=-\frac{3}{4}$ in quadrant II.

Find the exact values of $\sin \theta$ and $\cos \theta$ if $\tan \theta = -\frac{3}{4}$ in quadrant II.

Find the other trigonometric functions of $\theta$ if $\tan \theta=-\frac{3}{4}$ in quadrant II.

Find all trigonometric functions for $\theta$ if $\tan \theta=-\frac{3}{4}$ in quadrant II.

Simplify: $\frac{18}{3}=$

What is the probability of guessing a 5-digit code from 5 unique numbers? A. $\frac{1}{12}$ B. $\frac{1}{120}$ C. $\frac{1}{40}$ D. $\frac{1}{60}$

Find $\sin \theta$ given $\csc \theta = \frac{\sqrt{117}}{6}$ . Simplify your answer.

Find $\sin \theta$ given $\csc \theta = \frac{\sqrt{18}}{4}$ . Simplify and rationalize if needed.

Aaron filled a bird bath with 64 ounces. After blue jays drank 5.17 ounces and a vulture drank $11 \frac{4}{5}$ ounces, how much is left?

Find $\sin \theta$ given $\csc \theta = \frac{\sqrt{44}}{2}$ . Simplify your answer.

Find (a) the complement and (b) the supplement of an angle measuring $17^{\circ} 15^{\prime}$ .

Find $\csc \theta$ if $\cot \theta = -\frac{1}{6}$ and $\theta$ is in quadrant IV.

Jodie spent $40 \frac{1}{4}$ seconds and 12.84 seconds. How much time does she need to match 68.2 seconds?

Calculate $2 \frac{3}{8} + \left(-4 \frac{1}{4}\right)$ . Choose from: $-2 \frac{1}{3}$ , $-1 \frac{7}{8}$ , $1 \frac{7}{8}$ , $2 \frac{1}{2}$ .

Find (a) the complement and (b) the supplement of an angle measuring $17^{\circ} 15^{\prime}$ .

Find the complement and supplement of an angle measuring $22^{\circ} 13^{\prime}$ .

Solve the equation: $\frac{1}{4}\left(x+\frac{1}{2}\right)=\frac{7}{8}$ .

Solve for $x$ in the equation $\frac{1}{2} x - 2 = \frac{1}{5}$ .

Solve for $x$ : $\frac{x-5}{5}=\frac{3}{5}$ .

Round $6.24159$ to two decimal places.

Mr. Barton's garden has sides $16 \mathrm{ft}$ , $x \mathrm{ft}$ , $x \mathrm{ft}$ , and $20 \mathrm{ft}$ . If the perimeter is $60 \mathrm{ft}$ , find $x$ . Options: (A) $12 \mathrm{ft}$ (B) $15 \mathrm{ft}$ (C) $18 \mathrm{ft}$ (D) $24 \mathrm{ft}$ .

What is the inverse of the function $f(x)=4x$ ?

Mr. Barton's rectangular garden has a top side of 16 ft, bottom side of 20 ft, and perimeter of 60 ft. Find $x$ .

What is the circumference of a circle drawn with a 10-inch chain? Use $\pi \approx 3.14$ . Options: (A) 15.70 (B) 23.14 (C) 31.40 (D) 62.80.

Find the inverse of the function $f(x)=2x+1$ .

Find the inverse of the function $f(x)=\frac{1}{9} x+2$ .

Find $f(8)$ for the function $f(x)=6x-4$ .

Find $f(10)$ for the function $f(x)=\frac{x}{2}+8$ .

Find the distance from the Tax Office at $(-1.5,-1)$ to the Gas Station at $(3,4)$ , rounded to the nearest tenth.

Solve for $m$ in the equation $\frac{4}{m-8}=\frac{8}{2}$ .