Fabian finds some nickels and pennies under the couch cushions. How much money (in dollars) does he have if he has 130 nickels and 120 pennies? How much money (in dollars) does he have if he has x x nickels and y y pennies?

I think it is C. but i am a little rusty

For your question just change domain x=-4,-2,0,2,4 to the function y=-1/2x to find y and graph.

The expression that is equivalent to 2(9x+6)/3-(8x-4)/2 is 8x, the correct option is T.

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

The function=2(9x+6)/3-(8x-4)/2.

Now,

First, let's simplify the expression given:

2(9x+6)/3 - (8x-4)/2 = (18x + 12)/3 - (4x - 2) = 6x + 4 - 2x + 1 = 4x + 5

Now let's check which of the given expressions are equivalent to 4x + 5:

M. 2(x + 1) = 2x + 2 (not equivalent)

R. 2x+6 (not equivalent)

R. 2x + 2 (not equivalent)

S. 2(x + 3) = 2x + 6 (not equivalent)

T. 8x = 8x - 40 + 45 = 4x + 5 (equivalent)

Therefore, the answer of the given expression will be 8x.

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Answer:

Answer D is correct

Step-by-step explanation:

Jack does have enough length of rope to tie his packages.

The same attribute is presented using a unit conversion, but in a differing unit of measurement. For examples, time can be indicated in minutes rather than hours, and distance can be depicted in kilometers, feet, or other types of measurement unit instead of miles.

So, concert all units in inches:

7 yards = 7*36 = 252 inches

4 feet = 4*12 = 48 inches.

Total length of rope = 252 inches.

Required rope = 84 inches + 48 inches

Required rope = 132 inches.

Thus,  Jack does have enough rope to tie his packages.

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Answer:

Step-by-step explanation:

gain

loss

gain loss

gain

Answer:

Gains : +1,+10,+3

loss: -3,-5,-9,-100

Step-by-step explanation: I think this question is basically just asking about givings examples of positive and negative numbers

The given expression is already written in function notation.

Function notation is a way of representing a mathematical relationship between two variables, where one variable (usually denoted as x) is the input and the other variable (usually denoted as y) is the output. In this case, y is a function of x, which means that the value of y depends on the value of x.

To write the linear equation y = 2x + 5 in function notation, we replace y with f(x) to get:

f(x) = 2x + 5

This means that f(x) is a function of x, where the output f(x) is equal to 2 times the input x plus 5. The variable f(x) represents the value of y for a given value of x.

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In response to the query, we can state that r: the annual rate of increase equation (6% in this case)

In a math equation, two assertions are connected by the equals sign (=), which denotes equivalence. A mathematical assertion used in algebraic equations establishes the equivalence of two mathematical statements. For instance, in the equation 3x + 5 = 14, the equal sign creates a space between the values 3x + 5 and 14. To comprehend the relationship between the two sentences written on opposing sides of a letter, utilise a mathematical formula. The logo and the specific programme typically correspond. An illustration would be 2x - 4 = 2.  

Explicit Formula:

[tex]a_n = a_0 \times (1 + r)^n[/tex]

Recursive Formula:

[tex]a_n = a_{n-1} \times (1 + r)[/tex]

where:

[tex]a_n[/tex]: the value of the action figure after n years

[tex]a_0[/tex]: the initial value of the action figure ($1100 in this case)

r: the annual rate of increase (6% in this case)

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V(0) is the initial value of the action figure, and the recursive formula calculates the value of the action figure after n years by adding 6% of the previous year's value to the previous year's value.

What is equation?

In a math equation, two assertions are connected by the equals sign (=), which denotes equivalence. A mathematical assertion used in algebraic equations establishes the equivalence of two mathematical statements.

Let V(n) be the value of the action figure after n years.

Explicit formula:

V(n) = 1100(1 + 0.06)^n

Recursive formula:

V(0) = 1100

V(n) = V(n-1) + 0.06V(n-1)

Therefore, V(0) is the initial value of the action figure, and the recursive formula calculates the value of the action figure after n years by adding 6% of the previous year's value to the previous year's value.

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Answer:

$62.70

Step-by-step explanation:

of means "x"

and means "+"

6 hours of mowing and 1 hour of babysitting

(6 hours of mowing) + ( 1 hour of babysitting)

6 hours of mowing

6 hours x mowing

6x9.20 = answer 1

1 hour of babysitting

1 hour x babysitting

1 x 7.50 = answer 2

add both answers together to get final answer

Answer:

1.1

Step-by-step explanation:

-3+1.9 =-1.1

-3+1.1=-1.9

Answer:

-3 + 1.1 = -1.9

Step-by-step explanation:

Let us assume that,

→ Missing number = m

Now we have to,

→ Find the required value of m.

Forming the equation,

→ -3 + m = -1.9

Then the value of m will be,

→ -3 + m = -1.9

→ m - 3 = -1.9

→ m = -1.9 + 3

→ [ m = 1.1 ]

Hence, the value of m is 1.1.

Using linear programming, the minimum weekly labor cost of $2,616 occurs when there are 84 full-time employees and 67.2 part-time employees (which can be rounded up to 68 part-time employees)

a. Let x be the number of full-time employees and y be the number of part-time employees.

b. The constraints are:

c. The objective function is to minimize the weekly labor cost, which is given by:

Cost = 25x + 18y

d. To graph the solution region, we can first graph the inequality 40x + 25y ≥ 4200 as a line:

Next, we can graph the inequality x ≥ 1.25y as a line:

The feasible region is the shaded region that satisfies all the constraints and is bounded by the two lines and the x and y axes:

To find the corner points, we can solve the system of equations for the lines that form the boundaries of the feasible region:

Now we can evaluate the objective function at each of the corner points:

Therefore, the minimum weekly labor cost of $2,616 occurs when there are 84 full-time employees and 67.2 part-time employees (which can be rounded up to 68 part-time employees).

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The value of the indicated function instances as required to be determined are as follows;

It follows from the task content that a graph is given and the indicated values are to be determined.

By observation of the graph; it follows that;

On this note, f (π) = -3.

f (π/2) = 0.

f ( -3π/2 ) = 0.

The values above are as obtained from the graph.

Ultimately, the value of the indicated function instances are as evaluated from the graph above.

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None of the given angles are complementary angles.

An angle is a geometric figure formed by two rays with a common endpoint called the vertex. The rays are also known as the sides or legs of the angle. Angles are usually measured in degrees or radians and are used to measure the amount of rotation between two lines or planes.

The sum of two angles is 90 degrees if and only if they are complementary angles.

Using this concept, we can add up the angles in pairs to see which ones are complementary:

Angle AFB + Angle BFC = 40 + 60 = 100 degrees (not complementary)

Angle BFC + Angle CFD = 60 + 50 = 110 degrees (not complementary)

Angle CFD + Angle DFE = 50 + 30 = 80 degrees (not complementary)

Angle AFB + Angle DFE = 40 + 30 = 70 degrees (not complementary)

Therefore, none of the given angles are complementary angles.

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Answer:

Below

Step-by-step explanation:

BFC = 60 degrees and  DFE = 30 degrees <===so they are complementery

 because they sum to 90°

Step-by-step explanation:

Using the formula for simple interest:

Simple Interest = P * r * t

where P is the principal, r is the rate of interest, and t is the time in years.

Substituting the given values:

Simple Interest = $370 * 0.02 * 2 = $14.80

Therefore, the simple interest owed for the use of the money is $14.80.

Answer:

x=118

y= 35

Step-by-step explanation:

180-62= 118

180-145=35

The value of x from the trapezium is 118° and the value of y from the trapezium is 35°.

What is a trapezium?

A trapezium is a quadrilateral with two parallel sides. It has two non-parallel sides that are called the legs of the trapezium, and the other two sides are called the bases.

From the given trapezium 4 angles are x, y, 62° and 145°.

Here, x+62°=180° (Sum of allied angles is 180°)

x=180°-62°

x=118°

Now, y+145°=180°

y=180°-145°

y=35°

Therefore, the value of x from the trapezium is 118° and the value of y from the trapezium is 35°.

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The value of variables are,

a = 0

c = 7

d = 2

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ [tex]\frac{32x^{4} y^{3} z^{- 6} }{(4x^{2} y^{-2} z^{-2})^2 } = \frac{Ax^ay^c}{z^d}[/tex]

Now, We can simplify as;

⇒ [tex]\frac{32x^{4} y^{3} z^{- 6} }{(4x^{2} y^{-2} z^{-2})^2 } = \frac{Ax^ay^c}{z^d}[/tex]

⇒ [tex]\frac{32x^{4} y^{3} z^{- 6} }{(16x^{4} y^{-4} z^{-4}) } = \frac{Ax^ay^c}{z^d}[/tex]

⇒ [tex]\frac{2x^0y^7}{z^2} = \frac{Ax^ay^c}{z^d}[/tex]

By comparing, we get;

a = 0

c = 7

d = 2

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The expression represents the prime factorization of 192 is 2×2×2×2×2×2×3. Therefore, option C is the correct answer.

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given number is 192.

The prime factorization is process of writing the given number into product of prime numbers.

Here, 192= 2×2×2×2×2×2×3

Therefore, option C is the correct answer.

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Answer: To find the monthly payment for each option, we can use the following formula:

Monthly Payment = Total Cost * (Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

For the option to finance at the store for 2 years at 14% interest:

Total Cost = $2,000

Monthly Interest Rate = 14% / 12 = 0.011667

Number of Months = 2 years x 12 months/year = 24 months

Substituting these values into the formula, we get:

Monthly Payment = $2,000 * 0.011667 / (1 - (1 + 0.011667)^(-24)) = $95.13

Therefore, the monthly payment for financing at the store for 2 years at 14% interest is $95.13.

For the option to use his credit card at 21% interest for 1 year:

Total Cost = $2,000

Monthly Interest Rate = 21% / 12 = 0.0175

Number of Months = 1 year x 12 months/year = 12 months

Substituting these values into the formula, we get:

Monthly Payment = $2,000 * 0.0175 / (1 - (1 + 0.0175)^(-12)) = $185.44

Therefore, the monthly payment for using his credit card at 21% interest for 1 year is $185.44.

To find the total repayment for each option, we can multiply the monthly payment by the number of months:

For the option to finance at the store for 2 years at 14% interest:

Total Repayment = $95.13/month x 24 months = $2,283.12

Therefore, the total repayment for financing at the store for 2 years at 14% interest is $2,283.12.

For the option to use his credit card at 21% interest for 1 year:

Total Repayment = $185.44/month x 12 months = $2,225.28

Therefore, the total repayment for using his credit card at 21% interest for 1 year is $2,225.28.

Step-by-step explanation:

The profit to be made by selling the house for $290000 is $30000

An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.

You originally bought it for $250,000 and spent an additional $10,000 in renovations, Hence:

Total money spent = $250000 + $10000 = $260000

The realtor thinks you can sell it for $290,000. Therefore:

Profit = $290000 - $260000 = $30000

The profit to be made by selling the house is $30000

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The man's daily wage is given as follows:

$42.

The man's daily wage is obtained applying the proportions in the context of the problem.

Their wages per hour are in the ratio 7:5, hence the man's hourly wage is 7/5 of the woman's hourly wage, hence:

7/5 x 24/8 = 7/5 x 3 = 21/5 = $4.2 per hour.

The man works 10 hours a day, hence the daily wage is given as follows:

10 x 4.2 = $42.

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Answer:

Step-by-step explanation:

5

In answering the question above, the solution is The answer is s 4 = 632 expressions as a result.

In mathematics, you can multiply, divide, add, or take away. The following is how an expression is put together: Numeric value, expression, and math operator The elements of a mathematical expression include numbers, parameters, and functions. It is feasible to use contrasting words and expressions. Any mathematical statement containing variables, numbers, and a mathematical action between them is known as an expression, often known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.

Let's start by condensing the expression included within the summation:

[tex]2(3^n - 1) = 2*3^n - 2[/tex]

We may now enter the following expression in the original equation:

[tex]s_4[/tex] = 4 * ∑[tex](k=1[/tex]to [tex]4) 2(3^k - 1)[/tex]

[tex]s_4 = 4 * [2(3^1 - 1) + 2(3^2 - 1) + 2(3^3 - 1) + 2(3^4 - 1)]\\s_4 = 4 * [2(3^1 + 3^2 + 3^3 + 3^4) - 8]\\s_4 = 4 * [2(3^1 + 3^2 + 3^3 + 3^4) - 2^3]\\s_4 = 4 * [2(80) - 8]\\s_4 = 632[/tex]

The answer is s 4 = 632 as a result.

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Answer:

3600

Step-by-step explanation:

Based on the given conditions, formulate: 4000 x ( 1 - 10\% )

Calculate the sum or difference:4000 x 0.9

Calculate the product or quotient:3600

get the result: 3600

Answer: 3600

Answer:

To find the average amount won each day by the champions, we need to divide the total amount won by the number of days:

Average amount won each day = Total amount won / Number of days

Total amount won = $694,563

Number of days = 22

Average amount won each day = $694,563 / 22 = $31,611.95 (rounded to the nearest cent)

Therefore, the average amount won each day by the champions on Jeopardy in September was approximately $31,611.95.

Step-by-step explanation:

Quantitative data can be discrete or continuous

the answer is 2 5/14

Answer:

Step-by-step explanation:

To find the average number of pages written per hour, we need to divide the total number of pages written by the total time taken:

Total pages written = 6 3/10 = 63/10

Total time taken = 2 1/3 = 7/3

Average pages written per hour = Total pages written / Total time taken

= (63/10) / (7/3)

= (63/10) x (3/7)

= 9/2

Therefore, the average number of pages written per hour is 9/2, which is equal to 4.5 pages per hour.

The graph's function g(x) has a single x-intercept, a y intercept, a vertical asymptote, an oblique asymptote, and both.

Asymptotes are points along a line that a curve approaches but never touches. The term "asymptote" refers to the point at which a function's graph converges. Asymptotes are often not necessary when graphing functions.

There are three distinct asymptotes.

Asymptote horizontal (HA) - Given that it is horizontal, its equation has the form y = k. The horizontal asymptote is the point at which the function f(x) tends to zero.

As it is a vertical line, the vertical asymptote's equation has the form x = k. When the denominator of a rational function approaches towards 0, vertical asymptotes are defined.

The equation for the slanting asymptote (also known as the oblique asymptote) is y = mx + b since the line is inclined.

given the information,

Let's write the function as g. (x)

The value of g (x) is right now.

g (x) = ( -4x² + 36) / (x + 3)

We gain by simple.

g (x) = -4x² - 4×9) / (x + 3)

We gain more after additional simplification.

g (x) = -4 (x + 3) (x - 3) / (x + 3)

g (x) = -4x + 12

There is now a vertical asymptote for the function at (0, 12)

There is a horizontal asymptote for the function at (3, 0)

The function is so resolved.

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The complete question is:

G(x)=-4x^2+36/x+3

What key features does f(x), shown in the graph, share

with g(x), shown in the equation? Select three options.

at least one x-intercept

at least one y-intercept

Dan oblique asymptote

O a vertical asymptote

the domain of x

Answer:

Step-by-step explanation:

The correct statements are 7. 3 ∈ B, 9. B ⊂ A, 12. C ⊂ U

13. A ⋃ B  = {1, 2, 3, 4, 5, }   14. A ⋃ C  = { 1, 2, 3, 4, 5, 6}

15. A ⋂ C  = { 4 }                   16. B ⋂ C = { }

17. [tex]A^{c}[/tex]  =  {6, 7, 8, 9, 10}         18. [tex]B^{c}[/tex] = {0, 2, 4, 6, 7, 8, 9, 10}  

In mathematics, a set is a collection of distinct objects, which are called its elements or members. These objects can be anything - numbers, letters, people, animals, or other sets.

Sets are typically denoted using curly braces, and the elements of the set are listed inside the braces, separated by commas.

Here we have

A = {1, 2, 3, 4, 5} B = {1, 3, 5} C = {4, 6}  and U = {numbers from 0 to 10}

=> U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

i. Indicate if each statement is true or false.

7. 3 ∈ B which means 3 belongs to set B

Since, set B = {1, 3, 5}

=> ∴ 3 ∈ B is true

8. 5 ∈ C which means 5 belongs to set C

The set C = {4, 6}

=> 5 ∈ C is false

9. B ⊂ A which means B is a subset of A and elements of B are belongs to set A.  

Since elements of B are lies in set A

=> B ⊂ A is true

10. C ⊂ A which means C is a subset of A

Since all the elements of C are not lie in set A

=> C ⊂ A is false

11. C ⊂ B which means C is a subset of B

Since all the elements of C are not lie in set B

=> C ⊂ B is false

12. C ⊂ U which means C is a subset of U

Since all the elements of C are lies in U

=> C ⊂ U is true  

13. A ⋃ B = {1, 2, 3, 4, 5} ∪ {1, 3, 5} = {1, 2, 3, 4, 5, }  

14. A ⋃ C = {1, 2, 3, 4, 5} ∪ {4, 6} = { 1, 2, 3, 4, 5, 6}

15. A ⋂ C  = {1, 2, 3, 4, 5} ⋂ {4, 6} = { 4 }

16. B ⋂ C =  {1, 3, 5} ⋂ {4, 6} = { }

17. [tex]A^{c}[/tex]  = The elements in the universal set but not in A = {6, 7, 8, 9, 10}

18. [tex]B^{c}[/tex] = The elements in universal set but not in B = {0, 2, 4, 6, 7, 8, 9, 10}  

Therefore,

The correct statements are 7. 3 ∈ B, 9. B ⊂ A, 12. C ⊂ U

13. A ⋃ B  = {1, 2, 3, 4, 5, }   14. A ⋃ C  = { 1, 2, 3, 4, 5, 6}

15. A ⋂ C  = { 4 }                   16. B ⋂ C = { }

17. [tex]A^{c}[/tex]  =  {6, 7, 8, 9, 10}         18. [tex]B^{c}[/tex] = {0, 2, 4, 6, 7, 8, 9, 10}  

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The side x of the similar triangle is 12.7 units.

The triangles are similar triangle.

Two triangles are said to be similar when they have two corresponding angles congruent and the sides proportional.

Therefore, using the proportion

37- 5 / x = x / 5

Evaluate the difference of 37 and 5

32 / x = x / 5

Cross multiply the equation

x × x = 32 × 5

So, we have

x² = 160

Take the square root of both sides

x = √160

Evaluate the square roots

x = 12.6491106407

Hence, the value of x is x = 12.7 units (when approximated)

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Answer:

Translation

Step-by-step explanation:

Translation