Algebra Questions
The best high school and college tutors are just a click away, 24×7! Pick a subject, ask a question, and get a detailed, handwritten solution personalized for you in minutes. We cover Math, Physics, Chemistry & Biology.
![List all elements of the set Select all that apply A 0 C 10 E 9 9 0 10 5 73773777 that are also elements of the set of natural numbers 3 B 5 73773777 D 8 3 F No elements in the set are in the set of natural numbers](https://media.kunduz.com/media/sug-question-candidate/20230816232349680685-5834244.jpg?w=256)
Algebra
Complex numbersList all elements of the set Select all that apply A 0 C 10 E 9 9 0 10 5 73773777 that are also elements of the set of natural numbers 3 B 5 73773777 D 8 3 F No elements in the set are in the set of natural numbers
![Fill in the blank Real numbers that can be represented with a terminating or repeating decimal are called](https://media.kunduz.com/media/sug-question-candidate/20230816232300487149-5834244.jpg?w=256)
Algebra
Matrices & DeterminantsFill in the blank Real numbers that can be represented with a terminating or repeating decimal are called
![Find the prime factorization of 322](https://media.kunduz.com/media/sug-question-candidate/20230816232055521137-5834244.jpg?w=256)
![Step by Step Solution Step 1 Find the least common denominator of the fractions Find the least common denominator LCD of the rational numbers and Then rewrite each rational number with the LCD 50 9 50 11 1 14 Write each denominator as the product of prime factors](https://media.kunduz.com/media/sug-question-candidate/20230816231356401340-5834244.jpg?w=256)
Algebra
Complex numbersStep by Step Solution Step 1 Find the least common denominator of the fractions Find the least common denominator LCD of the rational numbers and Then rewrite each rational number with the LCD 50 9 50 11 1 14 Write each denominator as the product of prime factors
![For the following division ladder a Fill in the factor tree to complete each problem b Express the original number as a product of the prime factors 495 a 3 33 33 495 3 Simplify your answers 5 5](https://media.kunduz.com/media/sug-question-candidate/20230816231935417437-5834244.jpg?w=256)
Algebra
Quadratic equationsFor the following division ladder a Fill in the factor tree to complete each problem b Express the original number as a product of the prime factors 495 a 3 33 33 495 3 Simplify your answers 5 5
![Write the fraction as a decimal rounded to the nearest hundredth 14 14 3](https://media.kunduz.com/media/sug-question-candidate/20230816231818416273-5834244.jpg?w=256)
![Write the decimal as a fraction in lowest terms 0 718 0 718 Type an integer or a simplified fraction](https://media.kunduz.com/media/sug-question-candidate/20230816231713656817-5834244.jpg?w=256)
Algebra
Quadratic equationsWrite the decimal as a fraction in lowest terms 0 718 0 718 Type an integer or a simplified fraction
![Write the fraction in lowest terms 115 105 115 105](https://media.kunduz.com/media/sug-question-candidate/20230816231444160946-5834244.jpg?w=256)
![7 Vrite the fractions and 11 7 7 as equivalent fractions with the least common denominator 13](https://media.kunduz.com/media/sug-question-candidate/20230816223523543989-5834244.jpg?w=256)
Algebra
Complex numbers7 Vrite the fractions and 11 7 7 as equivalent fractions with the least common denominator 13
![Simplify the fraction to lowest terms 10 35](https://media.kunduz.com/media/sug-question-candidate/20230816223559085061-5834244.jpg?w=256)
![Write the fractions 1 w and 8 as equivalent fractions with the least common denominator 27](https://media.kunduz.com/media/sug-question-candidate/20230816223446117797-5834244.jpg?w=256)
Algebra
Permutations and CombinationsWrite the fractions 1 w and 8 as equivalent fractions with the least common denominator 27
![Write the fraction as a decimal Choose the correct answer b OA 0 3 B 0 333 OC 0 3 OD 0 03](https://media.kunduz.com/media/sug-question-candidate/20230816222103440591-5834244.jpg?w=256)
Algebra
Permutations and CombinationsWrite the fraction as a decimal Choose the correct answer b OA 0 3 B 0 333 OC 0 3 OD 0 03
![Round the given number to the nearest hundredth 561 009](https://media.kunduz.com/media/sug-question-candidate/20230816221856778841-5834244.jpg?w=256)
![Round the decimal to the given place value 0 2715 nearest tenth pun 2715 round](https://media.kunduz.com/media/sug-question-candidate/20230816221618871278-5834244.jpg?w=256)
Algebra
Matrices & DeterminantsRound the decimal to the given place value 0 2715 nearest tenth pun 2715 round
![Tell the place value of the digit in the given number 593 16 the 1 In the number 593 16 the digit 1 is in the place](https://media.kunduz.com/media/sug-question-candidate/20230816221443399468-5834244.jpg?w=256)
Algebra
Permutations and CombinationsTell the place value of the digit in the given number 593 16 the 1 In the number 593 16 the digit 1 is in the place
![Write the fraction in lowest terms 245 80 Select the correct choice below and fill in any answer boxes within your che O A www 245 The fraction written in lowest terms is 80 Simplify your answer Type an integer or a fraction 245 B The fraction is already in lowest terms 80](https://media.kunduz.com/media/sug-question-candidate/20230816220748286773-5834244.jpg?w=256)
Algebra
Quadratic equationsWrite the fraction in lowest terms 245 80 Select the correct choice below and fill in any answer boxes within your che O A www 245 The fraction written in lowest terms is 80 Simplify your answer Type an integer or a fraction 245 B The fraction is already in lowest terms 80
![Rewrite the fraction 1 1 with 12 as the denominator 2](https://media.kunduz.com/media/sug-question-candidate/20230816220530235626-5834244.jpg?w=256)
![Write the fractions 1 9 and 7 as equivalent fractions with the least common denominator 33 7 33 Type integers or fractions](https://media.kunduz.com/media/sug-question-candidate/20230816220700709902-5834244.jpg?w=256)
Algebra
Permutations and CombinationsWrite the fractions 1 9 and 7 as equivalent fractions with the least common denominator 33 7 33 Type integers or fractions
![K Rewrite the fraction 3 3 with 24 as the denominator 4](https://media.kunduz.com/media/sug-question-candidate/20230816220557750426-5834244.jpg?w=256)
![You take a 60 day single payment loan with an interest rate of 14 on 815 What is the amount of the maturity value 833 76 836 67 O 842 33](https://media.kunduz.com/media/sug-question-candidate/20230816192405800748-5835985.jpg?w=256)
Algebra
Sequences & SeriesYou take a 60 day single payment loan with an interest rate of 14 on 815 What is the amount of the maturity value 833 76 836 67 O 842 33
![26 A plumber and two helpers together earned 360 a day How much did each earn in a day if the plumber earned 4 times as much as each helper](https://media.kunduz.com/media/sug-question-candidate/20230816183445822910-5835855.jpg?w=256)
Algebra
Sequences & Series26 A plumber and two helpers together earned 360 a day How much did each earn in a day if the plumber earned 4 times as much as each helper
![Find the least common multiple LCM of the following number 20 50 and 30 The LCM of 20 50 and 30 is](https://media.kunduz.com/media/sug-question-candidate/20230816174730170058-5834244.jpg?w=256)
Algebra
Sequences & SeriesFind the least common multiple LCM of the following number 20 50 and 30 The LCM of 20 50 and 30 is
![Step 1 Write each number as the product of prime factors aligning common factors vertically 14 77 Type your answer in factored form](https://media.kunduz.com/media/sug-question-candidate/20230816174149274685-5834244.jpg?w=256)
Algebra
Complex numbersStep 1 Write each number as the product of prime factors aligning common factors vertically 14 77 Type your answer in factored form
![12 Let A 1 Find a diagonal matrix D and an invertible matrix P such that A P DP 2 Use the factorization A P DP to compute the power matrix A where k represents an arbitra positive integer](https://media.kunduz.com/media/sug-question-candidate/20230816144203808940-5832087.jpg?w=256)
Algebra
Matrices & Determinants12 Let A 1 Find a diagonal matrix D and an invertible matrix P such that A P DP 2 Use the factorization A P DP to compute the power matrix A where k represents an arbitra positive integer
![In an all boys school the heights of the student body are normally distributed with a mean of 67 inches and a standard deviation of 2 5 inches What percentage of the students are between 65 and 72 inches tall to the nearest tenth Watch Video Statistics Calculaton Show Examples](https://media.kunduz.com/media/sug-question-candidate/20230816161446809047-5751962.jpg?w=256)
Algebra
Quadratic equationsIn an all boys school the heights of the student body are normally distributed with a mean of 67 inches and a standard deviation of 2 5 inches What percentage of the students are between 65 and 72 inches tall to the nearest tenth Watch Video Statistics Calculaton Show Examples
![A surveyor places poles at points A B and C in order to measure the distance across a pond The distances AC and BC are measured as shown to the right Find the distance AB across the pond The distance AB across the pond is about yd Type an integer or decimal rounded to the nearest tenth as needed 44 yd](https://media.kunduz.com/media/sug-question-candidate/20230816162200030070-5819504.jpg?w=256)
Algebra
Complex numbersA surveyor places poles at points A B and C in order to measure the distance across a pond The distances AC and BC are measured as shown to the right Find the distance AB across the pond The distance AB across the pond is about yd Type an integer or decimal rounded to the nearest tenth as needed 44 yd
![A formula that is used when designing AC alternating current circuits is 1 10 12 2 0 fo 2 LC Rationalize the right hand side and restate the formula](https://media.kunduz.com/media/sug-question-candidate/20230816155819746235-5835141.jpg?w=256)
Algebra
Sequences & SeriesA formula that is used when designing AC alternating current circuits is 1 10 12 2 0 fo 2 LC Rationalize the right hand side and restate the formula
![How much money will there be in an account at the end of 4 years if 16000 is deposited at 3 compounded semi annually Assume no withdrawals are made How much money will there be in the account at the end of 4 years Round to the nearest cent](https://media.kunduz.com/media/sug-question-candidate/20230816160310587229-5819504.jpg?w=256)
Algebra
Quadratic equationsHow much money will there be in an account at the end of 4 years if 16000 is deposited at 3 compounded semi annually Assume no withdrawals are made How much money will there be in the account at the end of 4 years Round to the nearest cent
![3 4 2 4 3 4 2 4 Simplify your answer Type an exact answer using radicals as neec](https://media.kunduz.com/media/sug-question-candidate/20230816144859284038-5819504.jpg?w=256)
Algebra
Complex numbers3 4 2 4 3 4 2 4 Simplify your answer Type an exact answer using radicals as neec
![full An object is thrown upward at a speed of 80 feet per second from a height of 90 feet off the ground following the path indicated by the red parabola The height h of the object after t seconds can be found using the equation h 16t 2 80 t 90 When will the height be 110 feet blue line Note that there are two times when this happens Enter your answers as decimals rounded to the nearest tenth of a second First time t Second time t When will the object reach the ground Enter your answer as a decimal rounded to the nearest tenth of a second t](https://media.kunduz.com/media/sug-question-candidate/20230816142802586995-5835141.jpg?w=256)
Algebra
Quadratic equationsfull An object is thrown upward at a speed of 80 feet per second from a height of 90 feet off the ground following the path indicated by the red parabola The height h of the object after t seconds can be found using the equation h 16t 2 80 t 90 When will the height be 110 feet blue line Note that there are two times when this happens Enter your answers as decimals rounded to the nearest tenth of a second First time t Second time t When will the object reach the ground Enter your answer as a decimal rounded to the nearest tenth of a second t
![Convert the following expression to exponential notation 11 5 11 11 11 Type exponential notation with positive exponents Type an exact an](https://media.kunduz.com/media/sug-question-candidate/20230816145310091866-5819504.jpg?w=256)
Algebra
Sequences & SeriesConvert the following expression to exponential notation 11 5 11 11 11 Type exponential notation with positive exponents Type an exact an
![Two shops rent canoes for a rental fee plus a fee per hour How many hours must a canoe be rented for the total costs to be the same Shop A Rental fee 8 Hourly fee 7 Shop B Previous Rental fee 2 Hourly fee 9 The total costs are the same when a canoe is rented for hours Ne](https://media.kunduz.com/media/sug-question-candidate/20230816142541325073-5835265.jpg?w=256)
Algebra
Quadratic equationsTwo shops rent canoes for a rental fee plus a fee per hour How many hours must a canoe be rented for the total costs to be the same Shop A Rental fee 8 Hourly fee 7 Shop B Previous Rental fee 2 Hourly fee 9 The total costs are the same when a canoe is rented for hours Ne
![Translate the sentence into an equation using n to represent the unknown number Then solve the equation for n a number subtracted from 46 is 21 a b C d 46 2 21 72 67 46 21 72 72 67 46 21 22 72 25 46 2 21 72 75](https://media.kunduz.com/media/sug-question-candidate/20230816140933741585-5321164.jpg?w=256)
Algebra
Quadratic equationsTranslate the sentence into an equation using n to represent the unknown number Then solve the equation for n a number subtracted from 46 is 21 a b C d 46 2 21 72 67 46 21 72 72 67 46 21 22 72 25 46 2 21 72 75
![Ive the equation below Check your solution s and clea x 2 4x 12 x 2 x 4 x 6x 8](https://media.kunduz.com/media/sug-question-candidate/20230816132942264116-5835141.jpg?w=256)
Algebra
Quadratic equationsIve the equation below Check your solution s and clea x 2 4x 12 x 2 x 4 x 6x 8
![If f x what is the value of f 4 to the nearest thousandth if necessary 17m](https://media.kunduz.com/media/sug-question-candidate/20230816132859902763-5833967.jpg?w=256)
Algebra
Permutations and CombinationsIf f x what is the value of f 4 to the nearest thousandth if necessary 17m
![Calculate acute angles only without a calculator 5 1 1 If sin Asin B the values of and B 5 1 2 If sin A 1 2 then 5 1 3 If sin A cos B the values of and B](https://media.kunduz.com/media/sug-question-candidate/20230816124701302251-5824032.jpg?w=256)
Algebra
Complex numbersCalculate acute angles only without a calculator 5 1 1 If sin Asin B the values of and B 5 1 2 If sin A 1 2 then 5 1 3 If sin A cos B the values of and B
![Determine a and find the indicated term of the following geometric sequences 3 points for a 1 point for the indicated term 6 3 15 75 375 an as 7 a3 36 as 324 an](https://media.kunduz.com/media/sug-question-candidate/20230816121511593207-5834444.jpg?w=256)
Algebra
Sequences & SeriesDetermine a and find the indicated term of the following geometric sequences 3 points for a 1 point for the indicated term 6 3 15 75 375 an as 7 a3 36 as 324 an
![12 1 point Alex originally paid 5200 for her car 1 year ago The value of her car now is 4 420 What is the percent of decrease in the value of her car 44 10 8 15](https://media.kunduz.com/media/sug-question-candidate/20230816120730038377-5751962.jpg?w=256)
Algebra
Quadratic equations12 1 point Alex originally paid 5200 for her car 1 year ago The value of her car now is 4 420 What is the percent of decrease in the value of her car 44 10 8 15
![1 point A health research fund drive has raised 18 700 That is 22 of the goal What is the goal 1 914 187 000 85 000 411 400](https://media.kunduz.com/media/sug-question-candidate/20230816120713552598-5751962.jpg?w=256)
Algebra
Matrices & Determinants1 point A health research fund drive has raised 18 700 That is 22 of the goal What is the goal 1 914 187 000 85 000 411 400
![1 point You are building a tree house and have bought plans online However the plans are in metric units and your tape measure only has feet The plans say the base of he square tree house should be 3 5 meters How many feet is that round to the nearest hundredth 74 feet 11 48 feet 5 39 feet 21 64 feet](https://media.kunduz.com/media/sug-question-candidate/20230816115648655318-5751962.jpg?w=256)
Algebra
Permutations and Combinations1 point You are building a tree house and have bought plans online However the plans are in metric units and your tape measure only has feet The plans say the base of he square tree house should be 3 5 meters How many feet is that round to the nearest hundredth 74 feet 11 48 feet 5 39 feet 21 64 feet
![10 1 point To attract business the manager of a sports equipment store decreased the price of a hockey stick from 500 to 440 What was the percent of decrease 20 15 12 60](https://media.kunduz.com/media/sug-question-candidate/20230816120117778006-5751962.jpg?w=256)
Algebra
Complex numbers10 1 point To attract business the manager of a sports equipment store decreased the price of a hockey stick from 500 to 440 What was the percent of decrease 20 15 12 60
![9 1 point A cereal company used to fill the boxes with 16 ounces of cereal They have reduced that amount to 14 ounces The percent decrease is 87 5 True False](https://media.kunduz.com/media/sug-question-candidate/20230816115732487853-5751962.jpg?w=256)
Algebra
Complex numbers9 1 point A cereal company used to fill the boxes with 16 ounces of cereal They have reduced that amount to 14 ounces The percent decrease is 87 5 True False
![Your fitness tracker says you ran 2 640 yards on your most recent run How many miles is that 1 3 miles 2 miles 1 5 miles 1 mile](https://media.kunduz.com/media/sug-question-candidate/20230816115717895402-5751962.jpg?w=256)
Algebra
Complex numbersYour fitness tracker says you ran 2 640 yards on your most recent run How many miles is that 1 3 miles 2 miles 1 5 miles 1 mile
![1 1 point The appropriate translation of the phrase 11 more than 20 percent of a number is 0 2n 11 True False](https://media.kunduz.com/media/sug-question-candidate/20230816114632616865-5751962.jpg?w=256)
Algebra
Quadratic equations1 1 point The appropriate translation of the phrase 11 more than 20 percent of a number is 0 2n 11 True False
![1 point The oil tank in your car is leaking at a rate of 1 2 oz per mile driven You drove 15 miles over to your grandma s house How many cups of oil did your car leak 18 cups 2 25 cups 144 cups 2 cups Previour](https://media.kunduz.com/media/sug-question-candidate/20230816115125393317-5751962.jpg?w=256)
Algebra
Quadratic equations1 point The oil tank in your car is leaking at a rate of 1 2 oz per mile driven You drove 15 miles over to your grandma s house How many cups of oil did your car leak 18 cups 2 25 cups 144 cups 2 cups Previour
![4 1 point Evaluate if t 2 and x 3 3 2x t 102 30 12 48 Previous](https://media.kunduz.com/media/sug-question-candidate/20230816114856463191-5751962.jpg?w=256)
![3 1 point Translate the phrase into an expression 11 more than one third of a number On 11 n 11 3n 11 11 3n Previous](https://media.kunduz.com/media/sug-question-candidate/20230816114722822765-5751962.jpg?w=256)
Algebra
Quadratic equations3 1 point Translate the phrase into an expression 11 more than one third of a number On 11 n 11 3n 11 11 3n Previous
![2 1 point A rectangle has a length of 7 and a width of w What is an expression for the perimeter 7 w 7 2w 14 2w 14 4w](https://media.kunduz.com/media/sug-question-candidate/20230816114708603965-5751962.jpg?w=256)
Algebra
Quadratic equations2 1 point A rectangle has a length of 7 and a width of w What is an expression for the perimeter 7 w 7 2w 14 2w 14 4w
![Click the following link to view nominal GDP data from FRED Then use that data to answer the following questions Real time data provided by Federal Reserve Economic Data FRED Federal Reserve Bank of Saint Louis For this exercise you will need to enter data from FRED for nominal gross domestic product GDP The following table gives the GDP deflator for the second quarter of 2023 and 2022 Using data from FRED enter the values for nominal GDP Series ID GDP for the two periods shown as 2023 04 01 and 2022 04 01 in FRED Enter your responses exactly as they appear in FRED Period 2023 Q2 GDP Deflator 131 52 Value bil](https://media.kunduz.com/media/sug-question-candidate/20230816111225596364-5040269.jpg?w=256)
Algebra
Quadratic equationsClick the following link to view nominal GDP data from FRED Then use that data to answer the following questions Real time data provided by Federal Reserve Economic Data FRED Federal Reserve Bank of Saint Louis For this exercise you will need to enter data from FRED for nominal gross domestic product GDP The following table gives the GDP deflator for the second quarter of 2023 and 2022 Using data from FRED enter the values for nominal GDP Series ID GDP for the two periods shown as 2023 04 01 and 2022 04 01 in FRED Enter your responses exactly as they appear in FRED Period 2023 Q2 GDP Deflator 131 52 Value bil
![ind the domains of the given functions Remember that a domain is a set f x x b f x 21 x x c f x 1 flo flor 3y fl f a x 6 1 x x 1 1 x](https://media.kunduz.com/media/sug-question-candidate/20230816105820619977-5834772.jpg?w=256)
Algebra
Sequences & Seriesind the domains of the given functions Remember that a domain is a set f x x b f x 21 x x c f x 1 flo flor 3y fl f a x 6 1 x x 1 1 x