Basic Math Questions and Answers

A sausage company makes two different kinds of hot dogs regular and all beef Each type of hot dog uses some ingredients that are always available but supplies of beef pork and spices are limited Each pound of all beef hot dogs requires 0 75 lb of beef and 0 2 lb of spices and each pound of regular hot dogs requires 0 18 lb of beef 0 3 lb of pork and 0 2 lb of spices Suppliers can deliver at most 1020 lb of beef at most 600 lb of pork and at least 200 lb of spices Let x represent the number of pounds of regular hot dogs produced and y represent the number of pounds of all beef hot dogs produced a Write the inequalities that describe how many pounds of each type of hot dog can be produced y spices constraint x20 ly 20 number of pounds of regular hot dogs constraint number of pounds of all beef hot dogs constraint b Graph the region determined by these constraint inequalities 1500 1000 beef constraint 500 pork constraint X 1000 2000 3000 4000 5000 6000 y 1500 1000 500 X 1000 2000 3000 4000 5000 6000 1500 1000 y 500 X 1000 2000 3000 4000 5000 6000

A privately owned lake contains two types of game fish bass and trout The owner provides two types of food A and B for these fish Bass require 2 units of food A and 4 units of food B and t require 5 units of food A and 2 units of food B If the owner has 400 units of each food find the maximum number of fish the lake can support fish

Newjet Inc manufactures inkjet printers and laser printers The company has the capacity to make 70 printers per day and it has 120 hours of labor per day available It takes 1 hour to make an inkjet printer and 3 hours to make a laser printer The profits are 40 per inkjet printer and 80 per laser printer Find the number of each type of printer that should be made to give maximum profit and find the maximum profit inkjet printers laser printers maximum profit

602 6852 9 I You may enter the exact value or round to 4 decimal placor

1 The Wellbuilt Company produces two types of wood chippers economy and deluxe The deluxe model requires 3 hours to assemble and hour to paint and the economy model requires 2 hours to 2 assemble and 1 hour to paint The maximum number of assembly hours available is 24 per day and the maximum number of painting hours available is 8 per day If the profit on the deluxe model 98 per unit and the profit on the economy model is 70 per unit how many units of each model will maximize profit deluxe units economy units

Which graph has an Euler Circuit B B B E G E 6

Apex Motors manufactures luxury cars and sport utility vehicles The most likely customers are high income men and women and company managers want to initiate an advertising campaign targeting these groups They plan to run 1 minute spots on business investment programs where they can reach 7 million women and 4 million men from their target groups They also plan 1 minut spots during sporting events where they can reach 2 million women and 12 million men from their target groups Apex feels that the ads must reach at least 23 million women and at least 24 million men who are prospective customers a Write the inequalities that describe the constraints on the number of each type of 1 minute spots needed to reach these target groups Let x represent minutes of business investment program ads and let y represent minutes of sporting events ads constraint on millions of women reached constraint on millions of men reached constraint on ad minutes business investment constraint on ad minutes sporting events b Graph the region determined by these constraint inequalities x 0 y 20 18 47 16 15 14 13 42 41 10 9 Fill Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties

Which graph below has an EULER PATH B B B E F G

System integration is impossible to achieve in HIS due to the complexities of structures and processes involved in clinical and business services True False

A cereal manufacturer makes two different kinds of cereal Senior Citizen s Feast and Kids Go Each pound of Senior Citizen s Feast requires 0 6 lb of wheat and 0 2 lb of vitamin enriched syrup and each pound of Kids Go requires 0 4 lb of wheat 0 2 lb of sugar and 0 2 lb of vitamin enriched syrup Suppliers can deliver at most 3200 lb of wheat at most 1000 lb of sugar and at least 1200 lb of the vitamin enriched syrup a Write the inequalities that describe how many pounds of each type of cereal can be made Let x represent the number of pounds of Senior Citizen s Feast and let y represent the number of pounds of Kids Go x 0 y 0 8000 6000 b Graph the region determined by these constraint inequalities y 4000 wheat constraint 2000 vitamin enriched syrup constraint sugar constraint pounds of Senior Citizen s Feast constraint pounds of Kids Go constraint 2000 4000 6000 X 8000 y 8000 6000 4000 2000 no 2000 4000 6000 X 8000 y 8000 no 6000 4000 2000 2000 4000 6000 X 8000

The Wellbuilt Company produces two types of wood chippers economy and deluxe The deluxe model requires 3 hours to assemble and 1 2 hour to paint and the economy model requires 2 hours to assemble and 1 hour to paint The maximum number of assembly hours available is 24 per day and the maximum number of painting hours available is 6 per day a Write the system of inequalities that describes the constraints on the number of each type of wood chipper produced Let x represent the number of deluxe models and let y represent the number of economy models assembly time constraint painting time constraint production constraint deluxe x 20 y 20 production constraint economy b Graph the solution of the system of inequalities O No Solution Help 10 9 8 7 6 5 4 32 1 10 9 8 7 6 5 4 3 2 1 12 1 2 3 5 6 7 8 9 10 3 5 6 7 8 9 10 Fill Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties

An Euler Circuit is A path that uses each edge of a graph exactly once and ends at a vertex different from the starting vertex A path that uses each vertex of a graph exactly once and ends at a vertex different from the starting vertex A path that uses each edge of a graph exactly once and ends at the starting vertex A path that uses each vertex of a graph exactly once and ends at the starting vertex

Euler Circuits Paths The map at the right has an Euler Path in which you can pass through each doorway exactly once Which 2 rooms must be a starting or ending to the Euler path Room A and the Outside Room A and Room D Room B and Room D Room E and the Outside OUTSIDE ROOM A 200 ROOM D L ROOM C T ROOM B F 1 ROOM E

xponential form Assume that all constants are positive and not equal to 1 log a p

For the function f x 10 4 calculate the following function values f 2 2 f 0

Question 9 You deposit 2000 in an account earning 3 interest compounded continuously How much will you have in the account in 5 years

f x 1 8208e 0 33871 billion dollars is approximately where x 0 corresponds to 1998 In what year did will the exports reach 10 1 Give your answer as the year with at least one decimal place

Solve the following inequality Graph the solution set and write it in int x 5 11

What makes James Baldwin s A Letter to My Nephew a Postmodern text The use of dystopian settings to comment on contemporary life Use of multiple points of view and perspectives Decreasing contact with the actual physical world The presentation of truths not commonly accepted by the dominant culture

Debit Balance December 31 prior year Receipts from customers Receipts from equipment sale Receipts from issuing stock Balance December 31 current year Cash a Cash used by investing activities b Cash provided by financing activities Credit 13 600 81 600 Payments for inventory 35 000 Payments for salaries 54 400 Payments for land Payments for a copyright Payments for dividends 20 400 41 800 27 200 68 000 22 400 4 800 Use the above Cash account to determine a cash flows used by investing activities and b cash flows provided by financing activities

n How to Tell a True War Story what does O Brien compare the war to a cat a tree a cloud a fog

5 Determine the following 5 1 The circle s center if it has radius 5 and is tangent to both x 3 and y 4 5 2 The circle s center and radius given 2x2 2y2 8x 12y 7 0

2 You borrowed 10 400 for 4 years at 12 7 and the interest is compounded s annually What is the total you will pay back

3 Your investment of 1 200 gets 5 1 and is compounded semi annually for 7 1 2 years What will your 1 200 be worth at the end of the term

1 You invested 52 400 at 6 compounded annually for 5 years What is your total return on this investment

5 Your investment of 18 100 at 13 6 compounded quarterly for 71 2 years will be worth how much

values of a and b a 10000 J f x ab passes through the points 0 10000 and 2 1600 What are th

Using your knowledge of inverses complete table for the inverse of the function f x 2 Graph the inverse function on the same axes Label each graph appropriately as f x and f x Answer the following about the inverse function X y x intercept Equation of inverse function f x Domain Range

4 7 9 E 4 6 7 8 and F 3 5 6 7 9 List the elements in the set DUE NF DUE nF Use a comma to separate answers as needed List the elements in order with no duplicates www

231 HD 231 Use scientific notation Use the multiplication symbol in the math palette as needed Round to three decimal places as needed

77 1 917 The matrix is x Choose the correct type of matrix Ono special type Orow matrix Ocolumn matrix O square matrix

Find an equation of the line in the form ax by c where a b and c are integers with no factor common to all three and a 20 The line with y intercept 3 and perpendicular to x 4y 13 The equation of the line in the form ax by c with y intercept 3 and perpendicular to x 4y 13 is Simplify your answer

K Use the indicated row operations to change the matrix Replace R by R 3 R 1 34 8 3 1 6 7 9 98 2 The row operation R 3 R results in

Each of the ten digits 0 through 9 is written on a separate piece of paper and placed in a basket A slip is pulled out and its digit is recorded in the order in which the slip was drawn The slip replaced after the digit is recorded Find the probability that the number 5432 is formed HEEED The probability is P E Use scientific notation Round to three decimal places as needed Use the multiplication symbol in the math palette as needed

bounded or unbounded x 4y 8 3x 4y212 the following system of inequalities Tell whether the region is Use the graphing tool on the right to graph the system of inequalities Click to enlarge graph Is the region bounded or unbounded O unbounded bounded TE 10 10 18 2 Ay 10

You ve paid 120 for membership to a racquetball club Court time is 5 per hour Let x the number of hours you play Part a Write an equation that represents the total cost C Part b Write an equation that represents the average cost A per hour Part c Use the graph of the model shown below to estimate the number of hours you must play before the average cost per hour drops to 10 per hour 220 18 16 14 12 10 8 6 4 2 10 20 8 0 70 80 90 100

vo cube shaped containers are filled with beads Container A has side lengths of 2 inches and contains 142 beads Container B has side lengths of 3 ches and contains 544 beads Which container has the greater density in beads per square inch O Both containers have the same density Container A Container B

The current student population of New York City is 1700 If the population increases at a rate of 15 9 each year What will the student population be in 4 years Write an exponential growth model for the future population P x where x is in years P x What will the population be in 4 years Round to nearest student

Use the like bases property to solve the equation 4 5 500 x

Use the like bases property to solve the equation 10 9 102 6

Use the power property to rewrite each expression Assume all variables log5 x The answer format in lowercase characters is log base number Spaces in the answer are optional

Outdoor Living sells two types chaisse loungers The sales mix is 30 Comly and 70 Cozy Comfy has variable costs per unit of 90 and a selling price of 150 Cozy has variable costs per unit of 105 and a selling price of 195 Outdoor Living s fixed costs are 891 000 How many units of Comfy would be sold at the break even point

Find the range and standard deviation of the set of data 33 31 37 28 31

Evaluate using your calculator and round to 4 decimal places logo 52

What is the negation of the following statement I vote in the election and I feel enfranchised OA I vote in the election and I feel enfranchised OB I don t vote or I feel enfranchised C I vote in the election or I feel disenfranchised OD I don t vote and I feel disenfranchised OE I don t vote and I feel enfranchised OF I don t vote or I feel disenfranchised OG I vote in the election and I feel disenfranchised H I vote in the election or I feel enfranchised What is the negation of the following I am hungry or I eat an apple OA I am not hungry and I eat an apple OB I am hungry and I don t eat an apple OC I am not hungry and I don t eat an apple OD I am hungry or I don t eat an apple OE I am not hungry or I don t eat an apple F I am hungry and I eat an apple G I am not hungry or I eat an apple H I am hungry or I eat an apple

1 point A company conducted a marketing survey of its clientele and found that 204 own an iPhone and 94 own an iPad 18 clients own both an iPhone and an iPad how many interviewed have an iPhone or an iPad

1 point Let A 1 2 3 4 5 6 7 8 9 a How many subsets of A are there That is find O A b How many subsets of A contain exactly 5 elements c How many subsets of A contain only even numbers d How many subsets of A contain an even number of elements

Find the range and standard deviation of the set of data 12 15 9 6 9 7 12

Find the range and standard deviation of the set of data 28 22 22 21 22

Find the range and standard deviation of the following set of data 163 166 158 169 156 175 175 The rang