MTH 213 Week 5 Final Exam

0 items

$50.00

›MTH 213

Go to the store page

Description

Fill in the missing numbers in the factor tree.

How could you find the top number without finding the other two numbers?

Fill in the missing numbers in the factor tree below.

Choose the correct answer below.

Find the product of all four prime factors determined from the tree.

Find the sum of all four prime factors determined from the tree.

Subtract the product of the prime factors from the product of the composite factors.

Count the total number of divisors and then multiply that number by the largest prime factor.

Rewrite each of the following as a base ten numeral.

7 times 10 cubed plus 4 times 10 squared plus 8 times 107•103+4•102+8•10

4 times 10 Superscript 6 Baseline plus 3 times 10 plus 24•106+3•10+2

7 times 10 cubed plus 4 times 10 squared plus 8 times 107•103+4•102+8•10equals=

(Simplify your answer.)

4 times 10 Superscript 6 Baseline plus 3 times 10 plus 24•106+3•10+2equals=

(Simplify your answer.)

A seventh-grade student does not believe that minus−5less than<minus−2. The student argues that a debt of $5 is greater than a debt of $2. How do you respond?

Which response is correct?

The student is correct that a debt of $5 is greater than a debt of $2. This means that minus−5 is farther to the left than minus−2. Therefore, minus−2less than<minus−5.

The student is correct that a debt of $5 is greater than a debt of $2. However, this means that minus−5 is farther to the left than minus−2. Therefore, minus−5less than<minus−2.

The student is incorrect that a debt of $5 is greater than a debt of $2. This means that minus−5 is farther to the left than minus−2. Therefore, minus−5less than<minus−2.

The student is incorrect that a debt of $5 is greater than a debt of $2. This means that minus−2 is farther to the left than minus−5. Therefore, minus−2less than<minus−5.

A U.S. $1 bill was valued at 1.094011.09401 Canadian dollarsCanadian dollars (Canada’sCanada’s currency) on a particular day. What was the value of $ 39.07$39.07 American dollars in Canadian dollarsCanadian dollars that day?

The value is approximately

Canadian dollarsCanadian dollars.

(Round to the nearest hundredth as needed.)

In each of the following, order the decimals from greatest to least.

28.2476828.24768, 28.2475228.24752, 28.247628.2476, 28.24828.248

minus−8.30188.3018, minus−8.3188.318, minus−8.3788.378, minus−8.318.31

Order the decimals 28.2476828.24768, 28.2475228.24752, 28.247628.2476, and 28.24828.248 from greatest to least.

Order the decimals minus−8.30188.3018, minus−8.3188.318, minus−8.3788.378, and minus−8.318.31 from greatest to least.

Rewrite the following using mathematical symbols.

Q is equal to the set whose elements are aa, bb, and qq.

The set containing 22 and 55 is equal to the set containing 55 and 22.

The set containing 22 and 55 only is not a proper subset of {33,22,44}.

Q is equal to the set containing aa, bb, and qq.

Qequals=StartSet EndSet

(Use a comma to separate answers as needed.)

The set containing 22 and 55 is equal to the set containing 55 and 22. Select the correct choice below and fill in the answer box to complete your choice.

(Use a comma to separate answers as needed.)

{22,55}congruent≅StartSet EndSet

{22,55}equals=StartSet EndSet

{22,55}is a proper subset of⊂StartSet EndSet

{22,55}is a subset of⊆StartSet EndSet

{22,55}almost equals≈StartSet EndSet

{22,55}is an element of∈StartSet EndSet

The set containing 22 and 55 only is not a proper subset of {33,22,44}. Select the correct choice below and fill in the answer box to complete your choice.

(Use a comma to separate answers as needed.)

{33,22,44}is not a proper subset of⊄StartSet EndSet

{33,22,44}is not a subset of⊈StartSet EndSet

{22,55}is not a subset of⊈StartSet EndSet

{22,55}is not an element of∉StartSet EndSet

{22,55}is not a proper subset of⊄StartSet EndSet

{33,22,44}is not an element of∉StartSet EndSet

Solve for x in each of the following.

four fifths equals StartFraction x Over 19 EndFraction

two fifths equals StartFraction Superscript minus Baseline 12 Over x EndFraction

−12

xequals=

(Simplify your answer. Type an integer or a simplified fraction.)

xequals=

(Simplify your answer. Type an integer or a simplified fraction.)

Convert to decimal notation.

8.98.9 times •10 Superscript negative 8

In the following, write an expression in terms of the given variables that represents the indicated quantity. Complete parts a through g.

The cost of having a plumber spend h hr at your house if the plumber charges $5050 for coming to the house and $x per hour for labor.

The expression for the cost of the plumber coming to the house is

dollars.

(Simplify your answer.)

The amount of money in cents in a jar containing some nickels and d dimes and some quarters if there are 66 times as many nickels as dimes and twice as many quarters as nickels.

The expression for the amount of money in the jar is

cents.

(Simplify your answer.)

The sum of fourfour consecutive integers if the greatest integer is x

The expression for the sum of the fourfour consecutive integers is

(Simplify your answer.)

The amount of bacteria after n min if the initial amount of bacteria is q and the amount of bacteria triples every 1010 sec. (Hint: The answer should contain q as well as n)

The expression for the amount of bacteria is

(Simplify your answer.)

The temperature t hr ago if the present temperature is 6060degrees°F and each hour it drops by 88degrees°F.

The expression for the temperature is

degrees°F.

(Simplify your answer.)

f. Pawel’s total earnings after 3 yr if the first year his salary was s dollars, the second year it was $70007000 higher and the third year it was twice as much as the first year.

The expression for Pawel’s total earnings is

dollars.

(Simplify your answer.)

The sum of threethree conscecutive even whole numbers if the greatest is x.

The expression for the sum of threethree consecutive even whole numbers is

(Simplify your answer.)

State the name of the property illustrated.

22plus+[66plus+(77)]equals=left parenthesis 2 plus 6 right parenthesis plus left parenthesis 7 right parenthesis(2+6)+(7)

The expression is an example of which property?

Associative property of additionAssociative property of addition

Identity property of additionIdentity property of addition

Commutative property of addition

Indicate whether the statement is true or false.

negative StartRoot 16 EndRoot−16 is an irrational number.

Choose the correct answer below.

TrueTrue

False

had a studenta student reduction and lost one eighth

8 of its studentsstudents. If 154154 of its studentsstudents were left after the reduction, how many studentsstudents were there originally?

The original number of studentsstudents was

Simplify the expression.

Superscript minus−22minus−(55minus−33x)

A student computes Superscript minus−8minus−2(Superscript minus−3) by writing Superscript minus−10(Superscript minus−3)equals=30. How would you help this student?

Select the correct answer below.

The student does not fully understand the order of operations. The teacher should emphasize that in order to avoid ambiguity, mathematicians agree that multiplication is performed only before addition, and that division is performed only before subtraction. A few simpler examples like 10plus+2 times •3 and 10minus−6 divided by ÷2 should be helpful.

The student does not understand that the expression is necessarily ambiguous. The student must determine, from the context, the appropriate order of operations in order to determine the correct answer. Using the same expression in different contexts should be helpful.

The student does not fully understand the order of operations. The teacher should emphasize that in order to avoid ambiguity, mathematicians agree that multiplication is performed before addition or subtraction. A simple example like 10minus−2 times •3 should be helpful.

The student does not fully understand the necessity of parentheses. The teacher should emphasize that in order to avoid ambiguity, mathematicians agree that parentheses should always be placed so that ambiguity is eliminated.

Write the letters in the appropriate sections of the following Venn diagram using the following information.

Set A contains the letters in the word fussfuss.

Set B contains the letters in the word fatfat.

Set C contains the letters in the word footfoot.

The universal set U contains the letters in the word facetiousfacetious.

The five top swimmers in an event had the following times.

Start 6 By 2 Table 1st Row 1st Column Swimmer 2nd Column Time 2nd Row 1st Column Molly 2nd Column 60.63 3rd Row 1st Column Rhonda 2nd Column 60.94 4st Row 1st Column Kathy 2nd Column 61.23 5st Row 1st Column Emily 2nd Column 61.58 6st Row 1st Column Martha 2nd Column 63.23 EndTable Swimmer Time Molly 60.63 Rhonda 60.94 Kathy 61.23 Emily 61.58 Martha 63.23

In order of how they placed, they were ___.

Molly comma Rhonda comma Martha comma Kathy comma EmilyMolly, Rhonda, Martha, Kathy, Emily

Molly comma Rhonda comma Kathy comma Emily comma MarthaMolly, Rhonda, Kathy, Emily, Martha

Martha comma Molly comma Rhonda comma Kathy comma EmilyMartha, Molly, Rhonda, Kathy, Emily

Kathy comma Emily comma Molly comma Rhonda comma Martha

Place parentheses, if needed, to make each of the following equations true.

55plus+44 times •44equals=3636

5plus+4plus+9 divided by ÷22equals=99

1616 divided by ÷44plus+1equals=55

5plus+6 divided by ÷2plus+44equals=1212

Choose the correct answer below.

Parentheses are needed. The corrected equation is left parenthesis 5 plus 4 times 4 right parenthesis equals 36(5+4•4)=36.

Parentheses are needed. The corrected equation is left parenthesis 5 plus 4 right parenthesis times 4 equals 36(5+4)•4=36.

Parentheses are needed. The corrected equation is 5 plus left parenthesis 4 times 4 right parenthesis equals 365+(4•4)=36.

Parentheses are not needed to make the equation true.

Choose the correct answer below.

Parentheses are needed. The corrected equation is left parenthesis 16 divided by 4 plus 1 right parenthesis equals 5(16÷4+1)=5.

Parentheses are needed. The corrected equation is 16 divided by left parenthesis 4 plus 1 right parenthesis equals 516÷(4+1)=5.

Parentheses are needed. The corrected equation is left parenthesis 16 divided by 4 right parenthesis plus 1 equals 5(16÷4)+1=5.

Parentheses are not needed to make the equation true.

Choose the correct answer below.

Parentheses are needed. The corrected equation is left parenthesis 5 plus 4 right parenthesis plus left parenthesis 9 divided by 2 right parenthesis equals 9(5+4)+(9÷2)=9.

Parentheses are needed. The corrected equation is left parenthesis 5 plus 4 plus 9 right parenthesis divided by 2 equals 9(5+4+9)÷2=9.

Parentheses are needed. The corrected equation is 5 plus left parenthesis 4 plus 9 right parenthesis divided by 2 equals 95+(4+9)÷2=9.

Parentheses are not needed to make the equation true.

Choose the correct answer below.

Parentheses are needed. The corrected equation is left parenthesis 5 plus 6 right parenthesis divided by 2 plus 4 equals 12(5+6)÷2+4=12.

Parentheses are needed. The corrected equation is 5 plus 6 divided by left parenthesis 2 plus 4 right parenthesis equals 125+6÷(2+4)=12.

Parentheses are needed. The corrected equation is left parenthesis 5 plus 6 right parenthesis divided by left parenthesis 2 plus 4 right parenthesis equals 12(5+6)÷(2+4)=12.

Parentheses are not needed to make the equation true.

Cookies are sold singly or in packages of 1111 or 3333. With this packaging, how many ways can you buy 6666 cookies?

There are

different ways to buy 6666 cookies.

A car trip took 44 hours at an average speed of 5353 mph. Mentally compute the total number of miles traveled.

What is the number of miles traveled?

miles

Explore the Color Patterns eManipulative and then study this pattern.

The following pattern of shapes is shown from left to right: yellow plus sign, yellow plus sign, green plus sign with arrows, orange sun, yellow plus sign, green plus sign with arrows, green plus sign with arrows, orange sun, orange sun, yellow plus sign, yellow plus sign.

What are the next two elements in the pattern?

Read each measurement as shown on the following ruler.

Image of a partial ruler showing 3 inches, with tick marks every one eighth of an inch. There are questions about four measurements on the ruler: Question A points to a line 3 tick marks past 2 inches. Question B points to a line 7 tick marks past 1 inch. Question C points to a line 2 tick marks past 1 inch. Question D points to a line 4 tick marks past 0.

in. (Simplify your answer. Type an integer, proper fraction, or mixed number.)

(Simplify your answer. Type an integer, proper fraction, or mixed number.)

in. (Simplify your answer. Type an integer, proper fraction, or mixed number.)

The 14 digits of a credit card are written in the boxes shown. If the sum of any three consecutive digits is 16

what is the value of A?

Use the information in the table to answer the following questions. Complete parts (a) through (c) below.

Which team won more than one half

of its games and was closest to winning one half

of its games?

▼

Dolphins

Gorillas

Cubs

Vipers

Panthers

Hawks

Lions

Which team won less than one half

of its games and was closest to winning one half

of its games?

▼

Dolphins

Panthers

Vipers

Lions

Hawks

Cubs

Gorillas

Which team won more than one third

of its games and was closest to winning one third

of its games?

▼

Classify each of the following as true or false. Complete parts a through e below.

If a number is divisible by 10

then it is divisible by 2

and 5

This statement is

▼

true.

false.

If a number is divisible by 2

and 5

then it is divisible by 10

This statement is

▼

true.

false.

If a number is divisible by 2

and 4

then it is divisible by 8

This statement is

▼

false.

true.

If a number is divisible by 8

then it is divisible by 2

and 4

This statement is

▼

false.

true.

A number is divisible by 8

if and only if, it is divisible by 2

and 4

This statement is

▼

Test whether the number 163

is prime.

Is 163 prime?

How many ways can you make change for 60

cents using only nickels, dimes, and quarters?

Kobe has collected 450

football cards and 252

baseball cards. He wants to divide them into piles so that each pile has only one type of card, there is the same number of cards in each pile, and each pile has the greatest possible number of cards. How many cards will be in each pile?

There will be

cards in each pile.

Which of the following are functions from the set StartSet 1 comma 2 comma 3 comma 4 EndSet

to the set StartSet a comma b comma c comma d EndSet

If the set of ordered pairs is not a function, explain why not.

StartSet left parenthesis 1 comma a right parenthesis comma left parenthesis 2 comma b right parenthesis comma left parenthesis 3 comma c right parenthesis comma left parenthesis 4 comma d right parenthesis EndSet

StartSet left parenthesis 1 comma a right parenthesis comma left parenthesis 2 comma b right parenthesis comma left parenthesis 3 comma c right parenthesis comma left parenthesis 4 comma b right parenthesis EndSet

Is the set of ordered pairs StartSet left parenthesis 1 comma a right parenthesis comma left parenthesis 2 comma b right parenthesis comma left parenthesis 3 comma c right parenthesis comma left parenthesis 4 comma d right parenthesis EndSet

a function?

It is

▼

a function

not a function

because

▼

each input maps to exactly one output.

at least one input maps to more than one output.

Is the set of ordered pairs StartSet left parenthesis 1 comma a right parenthesis comma left parenthesis 2 comma b right parenthesis comma left parenthesis 3 comma c right parenthesis comma left parenthesis 4 comma b right parenthesis EndSet

a function?

It is

▼

not a function

a function

because

▼

Fourteen years from now a girl’s age will be 8 times her present age. Find the girl’s age now.

The girl is currently years old.

Use the number-line model to show that 3 left parenthesis Superscript minus Baseline 2 right parenthesis equals Superscript minus Baseline 6.

Which of the following sets are equal?

Explain whether the following could be true: In a survey of 233

students, 123

were taking algebra, 85

were taking biology, and 25

were taking neither of the two subjects.

Choose the correct answer below and, if necessary, fill in any answer boxes to complete your choice.

Yes this could be true if there were nothing

students taking algebra but not biology, and there were nothing

students taking biology but not algebra.

No this could not be true because if 25

students are taking neither of the two subjects then the distribution of students implies there will have to be more than 233

total students.