Basic Math Questions and Answers

Use the plot plan shown in the figure below to answer the problem Answer to the nearest cubic yard t How much gravel is necessary if it is to be laid to a depth of 6 inches Assume a 120 b 84 and c 18 yd3 75 60 Section A 155 b Blue Represents Building Lawn Section B Gravel c d Section C 60 240 415 Fountain base Second Street 90 SII Reflecting pond

on Find the average rate of change of f x x 2 x or the interval 1 9 Average rate of change

accu can polynomial rinction to its grapa 3 f x x 2x x 2 4 f x x 16x 6 f x x 16x x 6 f x x 2 x 1 x 2 7 f x x 1 x 9 8 f x 2 x 2 x 1 x 3 Show Transcribed Text A 0 Show Transcribed Text B Al Algebra Sub subject Search Ar

The function f x is described by table below 1 2 3 3 1 4 x f x 4 2 This function has an inverse function Why 1 pt Enter your answer here Based on the table above fill in the table below for f x 2pt 1 2 3 4 X f x Note Type out the numbers from left to right in the table in the same order in the box below and separate them by commas For instance if you want to fill in 1 2 3 4 from left to right in the table out 1 2 3 4 in the box below

ate Question 15 Part 1 of 5 is hidden 30 feet from a highway One second a observation from the patrol car to the truck is me

2 9 Determine the resultant force on the lever shown in Figure P2 9 FIGURE P2 9 30 lb 20 20 lb

2 33 Find the resultant of the forces shown in Figure P2 33 15 20 5 KNA 30 3 kN 2 kN

3 8 Determine the moment of the 1800 N force about a point C and b point B of the engine hoist shown in Figure P3 8 A 1 7m 0 6 m 3 1800 N 5 Q

3 20 For the system shown in Figure P3 20 determine the moment about a point A and b point B 8N A 3 m 8 N 1m FIGURE D2 20 B 2 m

A 5m B C 8 m FIGURE P1 12 14100 E 12 5 m D

1 23 Determine the length of side C of the triangle shown in Figure P1 23 20 ft 85 C 30 ft

1 8 Determine angles a b and c Figure P1 8 35 a b C

Double angle identities Simplify the expression by using a double angle formula 2 cos 20 1 0 sin cot e J cos sec tan CSC

Finding values of trigonometric functions given inform Let 7 3 be a point on the terminal side of 0 Find the exact values of cos0 csc 0 and tan 0 cose 0 csc0 0 tan 0 3 16 X S

The functions u and w are defined as follows u x 2x 2 w x 2x 1 Find the value of u w 4

The government through a subsidy program distributes 27 000 000 If each person or agency spends 35 of what is received 35 of this is spent and so on how much total increase in spending results from this goverment action Let a 9 450 000 The total increase in spending will be approximately Round to the nearest dollar as needed

17 Mary reduced the size of a painting to a width of 3 3 in What is the new height if it was originally 32 5 in tall and 42 9 in wide

16 The currency in Argentina is the Peso The approximately 3 1 Peso At this rate how many Pesos would you get if you exchanged 121 10 exchange rate is

18 Molly bought two heads of cabbage for 1 80 How many heads of cabbage can Willie buy if he has 28 80

Asanji took a trip to Mexico Upon leav he decided to convert all of his Pesos bac into dollars How many dollars did he receive if he exchanged 42 7 Pesos at a ra of 5 30 11 1 Pesos

1 Gabriella bought three cantaloupes for 7 How many cantaloupes can Shayna buy if she has 21

13 Castel bought four bunches of fennel for 9 How many bunches of fennel can Mofor buy if he has 18

12 Jenny was planning a trip to the United Arab Emirates Before going she did some research and learned that the exchange rate is 4 Dirhams for every 1 How many Dirhams would she get if she exchanged 5

You can buy 5 apples at the Quick Market for 1 05 You can buy 10 of the same apples at Stop and Save for 2 00 Which place is the better buy

1 The bakers at Healthy Bakery can make 220 bagels in 10 hours How many bagels can they bake in 23 hours What was that rate per hour

An ice cream factory makes 160 quarts of ice cream in 10 hours How many quarts could be made in 36 hours What was that rate per day

5 A jet travels 600 miles in 2 hours At this rate how far could the jet fly in 12 hours What is the rate of speed of the jet

You can buy 5 cans for green beans at the Village Market for 2 70 You can buy 8 of the same cans of beans at Sam s Club for 4 50 Which place is the better buy

Consider the following table Use two decimal places for all answers P x 0 12 0 26 X 1 5 10 20 0 44 a Fill in the missing probability in the table so this is a valid probability distribut b Find the mean of the distribution c Find the standard deviation of the distribution Use 2 decimal places

on 8 1 point sten pring break you and some friends plan a road trip to miles away If you drive a car that gets 38 miles per 19 gal about how much will it cost to get to your des 360 2 270

The population of a certain species of bir behaves according to the logistic growth moc n t 500 0 2 21 7e 0 385t where t is measured in years What size does a 500 b 100 c 7500 d 2500 e 5000

x 2 2 y 2 a Sketch the curve represented by the parametric equations y 10 5 WebAssign Plot 10 5 10 x2 5 10 10 5 y 5 5 10 5 5 10 10 X X 10 10 5 5 b Find a rectangular coordinate equation for the curve by eliminating the parameter where 10 10 10 y 5 5 5 10 5 y 5 5 10 10 X

pair of parametric equations is given x t y 8 t a Sketch the curve represented by the parametric equations y 15 10 5 WebAssign Plot 15 10 5 15 10 S 5 10 15 y 15 10 5 5 10 15 5 10 15 5 10 15 O 15 10 5 15 10 5 b Find a rectangular coordinate equation for the curve by eliminating the parameter where x2 5 10 15 10 15 5 5 15 10 10 15 y y 5 5 10 15 10 15 X

x 2t 1 y t 1 2 Uns is given a Sketch the curve represented by the parametric equations y 10 10 5 5 10 10 10 10 5 y 5 5 5 10 10 X X 10 10 b Find a rectangular coordinate equation for the curve by eliminating the parameter 5 5 10 10 10 y 10 5 5 10 10

pair of parametric equations is given x t y t 2 2 t 4 a Sketch the curve represented by the parametric equations y 15 10 April 7 2023 08 47 AM CDT 15 10 5 b Find a rectangular com 5 2 0 1 5 1 0 0 5 0 5 1 0 2 0 y 1 5 1 0 0 5 0 5 1 0 5 5 10 10 15 15 X X x 15 10 15 10 5 5 1 5 0 5 1 0 2 0 1 0 9 5 0 5 1 5 1 0 2 0 1 0 0 5 y y 5 5 10 10 15 15

Find all the complex roots Write the answer in the indicated form The complex cube roots of 216 cos 324 isin 324 polar form 100 si 200 6228 1sin 228 6icos 342 isin 348 ecos 100 1200 dicos 248 isin 148 6icos 188 Isin 1889 100 108 6icos 140

10 Let A 1 7 15 9 1 13 5 2 1 1 3 3 2 6 10 3 a Find the dimension of the row space of A b Find the dimension of the nullspace of A

Two pools are being filled with water To start the first pool had 728 liters of water and the second p was empty Water is being added to the first pool at a rate of 23 liters per minute Water is being added to the second pool at a rate of 37 liters per minute et x be the number of minutes water has been added a For each pool write an expression for the amount of water in the pool after x minutes Amount of water in the first pool in liters Amount of water in the second pool in liters b Write an equation to show when the two pools would have the same amount of water

A candy factory has 250 kg of chocolate coated cherries and 300 kg of chocolate coated macadamia nuts in stock It is decided to sell them in the form of three different mixtures Mixture A half cherries and half macadamia nuts by weight can be sold for AU 20 per kg Mixture B one third cherries and two thirds macadamia nuts by weight can be sold for AU 12 5 per kg Mixture C two thirds cherries and one third macadamia nuts by weight can be sold for AU 25 per kg How many kg of each mixture should be prepared and sold to maximise their profit if due to the existing contracts the factory has to produce at least 100 kg of Mixture C kg round to two decimal Mixture A places Mixture B places Mixture C places maximal profit is AU decimal places kg round to two decimal kg round to two decimal round to two

Question 3 Identify the numbers labeled wit C 1 000 A

Solve the following system of equations using matrices row operations If the system has no solution say that i is inconsistent x y 1 3x 4z 6 3y 2z 3 Select the correct choice below and if necessary fill in the answer box es to complete your choice OA The solution is 1 Simplify your answers O B There are infinitely many solutions The solution can be written as x y z x y z is any real number Simplify your answers Type expressions using z as the variable OC There are infinitely many solutions The solution can be written as x y z x y is any real number z is any real number Simplify your answer Type an expression using y and z as the variables O D The system is inconsistent

A person walks in a straight line 45 meters He then makes a 35 turn and walks an additional 55 meters How far is it from the starting point

Question 14 of 21 Monte Services Inc is trying to establish the standard labor co time and motion studies conducted over the past month a Actual time spent on the brake repairs Hourly wage rate Payroll taxes Setup and downtime Cleanup and rest periods Fringe benefits 5 hours 14 20 of wage rate 8 of actual labor 30 of actual labo 25 of wage rate

HW Problem 34 5 pts Suppose you want to estimate the weight in ounces of whole frozen turkeys at a large poultry distributor You want to be 90 confident of your results and you want the estimate to be within 4 ounces of the actual mean You have good reason to believe that the standard deviation for whole frozen turkeys is 24 ounces How large a sample should you take

HW Problem 35 5 pts You are interested in determining the proportion of Geauga County homeowners who have a concrete driveway You want to be 95 confident of your results and you want to be within 8 of the actual population proportion How large a sample size is required

Find the eigenvalues and elgenvectors of A geometrically over the real numbers R If an eigenvalue does not exist enter DNE If an eigenvector does not exist enter DNE In any blank A counterclockwise rotation of 90 about the origin

Consider the following matrix kk 0 k 9 8k 0 kk Find the determinant of A det A A A square matrix A is invertible if and only if det A 0 Use the theorem above to find all values of k for which A is invertible Enter your answers as a comma separa k

Find the elgenvalues and elgenvectors of A geometrically over the real numbers R If an elgenvalue does not exist enter DNE If an eigenvector does not exist enter DNE in any sin blank A reflec 2 1 reflection in the line y x has elgenspace span has eloenspace spanl smaller value fisroor value

Complete the table to determine the effect of the number of compounding periods when computing interest Suppose that 11 000 is invested at 3 6 interest for 10 yr under the following compounding options Round answers in the second column to the nearest whole number Round answers in the last column to the nearest cent Compounding Option a Annually b Quarterly c Monthly d Daily Kal Continuously n Value 715 n n1 n 365 Not Applicable Result S S 5

Let P Find p p 0 5 0 1 0 5 0 9 0 30 0 70 be the transition matrix for a Markov chain with two states 0 14 0 86 What proportion of the state 2 population will be in state 2 after two steps