Caitlin works at a department store and earns $12.75 per hour. She has $42 removed from every paycheck for medical insurance. If her goal is to earn a gross of $633.75 in one week, which equation will help Caitlin determine the number of hours (h) she must work?

a.) $633.75 = $12.75h + $42
b.) $633.75 = $12.75h - $42
c.) $633.75 = $42h + $12.75
d.) $633.75 = $42h - $12.75

Answer:

60.3504

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

The next consecutive even integer represented by the statement is a + b + 3.5

The statement in the question is represented as

a+b+1.5 is an even integer

As a general rule of numbering;

In this case, the integers have a difference of 2

This is so because, they are even integers and even integers have a difference of 2

Solving further, we can represent the integer with x

So, we have

Current integer = a+b+1.5

Rewrite properly

This gives

Current integer = a + b + 1.5

Recall that:

even integers have a difference of 2

This means that

Next consecutive integer = Current integer + 2

Substitute the known values in the above equation, so, we have the following representation

Next consecutive integer = a + b + 1.5 + 2

Evaluate the sum in the above equation

Next consecutive integer = a + b + 3.5

Hence, the next integer is a + b + 3.5

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Answer:

forst mark me as a brainleast

The sequence {an} = {\(8n^4 + n + 1\)} is not convergent. It diverges to infinity as n approaches infinity.

To determine whether the sequence {an} = {\(8n^4 + n + 1\)} is convergent, we need to examine the behavior of the terms as n approaches infinity.

The sequence {an} is said to be convergent if there exists a real number L such that the terms of the sequence get arbitrarily close to L as n approaches infinity.

To investigate convergence, we can calculate the limit of the sequence as n approaches infinity.

lim(n→∞) \((8n^4 + n + 1)\)

To evaluate this limit, we can look at the highest power of n in the sequence, which is \(n^4.\) As n approaches infinity, the other terms (n and 1) become insignificant compared to n^4.

Taking the limit as n approaches infinity:

lim(n→∞) \(8n^4 + n + 1\)

= lim(n→∞) \(8n^4\)

Here, we can clearly see that the limit goes to infinity as n approaches infinity.

Therefore, the sequence {an} = {\(8n^4 + n + 1\)} is not convergent. It diverges to infinity as n approaches infinity.

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Since nickel is 5 cents and a dime is 10 cents, the possible tolls that you can pay need to be multiplies of 5 cents.

Let on represent the number of a ways

for the number of different ways the bus

The driver can pay a toll of 5n rent first case.

The first case used in a nickel then there are ways to pay =

57 - 5 = 5 ( 1 - 1 ) cents

The second case: - The coin used is a dime, then

there is a long way to

pay 5n - 10 2 5 ( 1 - 2 ) cents -

Adding the numbers of sequence of all

In three cases, we then obtain

an = an - 1 an +2

Initially, when n 20 there is exactly I way to pay cents ( using no coins )

when an = 1 there is exactly I to way

to pay 5 cents ( using one tickle )

q =f .

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Answer:

YA isn't an angle bisector since it doesn't divide <XYZ into two perfectly half angles .<XYA doesn't equal to <AYZ .

<XYA & <AYZ . are approximately congruent within one degree .

The required quadratic function having a leading coefficient of 3 and a constant term of –12 is f(x) = 3x^2 + bx - 12.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
A quadratic function can be written in the general form:

f(x) = ax² + bx + c

where a, b, and c are constants.

Given a leading coefficient of 3 and a constant term of -12, we can write the quadratic function as,

f(x) = 3x² + bx - 12

Therefore, a quadratic function having a leading coefficient of 3 and a constant term of –12 is f(x) = 3x^2 + bx - 12.

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Answer:

x>-1

Step-by-step explanation:

first, you have to distribute. 12x+8-6>2x-16+8

then you have to combine like terms 12x+2>2x-8

you put the X's on one side 10x+2> -8

move the 2 to the -8 10x>-10

divide x>-1

Answer:

Number 2. x>-1

Step-by-step explanation:

4(3x+2) is 12x+8. 12x+8-6 is 12x+2.

12x+2>8+2(x-8)

2(x-8) is 2x-16. 2x-16+8 is 2x-8.

12x+2>2x-8

12x>2x-10

10x>-10

x>-1

Answer:

-10 3/4

Step-by-step explanation:

I think it's that

Answer:

-10 3/4:)

Step-by-step explanation:

Answer:

AM sorry cant help

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

constant proportionality = x/y

x1/y1 , x2/y2 , x3/y3 , ....

5/15 , 10/30 , 6/18 , 9/27 , 2/6

= 1/3 , 1/3 , 1/3 , 1/3 , 1/3

since in all the cases x/y = 1/3 ,

Therefore, the contant proportionality in the given table is 1/3

Hope it's helpful..

Based on the fractional value, the amount of the shells that Terrence sorted is A. twelve twenty-fourths.

A fractional value is a value that represents a portion or part of the total value.

Fractional values can be depicted as proper, improper, or complex fractions.  They can also be depicted as decimals or percentages.

The remaining quantity of the shell pile = ³/₄

The quantity sorted by Terrence = ⁴/₆

The fractional value sorted by Terrence = (⁴/₆ x ³/₄) = ¹²/₂₄ = 0.5 or 50%

Thus, we can conclude that Terrence sorted 50% or ¹²/₂₄ of the shell pile.

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The given table with the values represents an exponential function.

In mathematics, an exponential function is defined as a function with the variable in an exponent. The most basic exponential function is the function of the form f(x) =aˣ

where a is a real number.

When x = 1, y = 5

When x = 2, y = 10

When x = 3, y = 20

When x = 4, y = 40

We see that as x increases by 1, y increases by a factor of 2. Thus, for any x, y = 5(\(2^{x - 1}\))

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Answer:

112 cookies

Step-by-step explanation:

5 and 3/5 is the same as 28/5

so from that you'll take the 28 and multiple that by 4 (because you can get 4 cookies from every 1 of that 28)

Answer:

It costs $1.25

Step-by-step explanation:

day 1, $1.25, day 2, $2.50, day 3, $3.75, day 4, $5.00, day 5, $6.25, day 6, $7.50, day 7, $8.75, and so on.

Answer:

1000

Step-by-step explanation:

100/20=5

5*200= 1000

The number in the problem, where the sum of a number and 2 is 9, is 7. When substituted back into the equation, 7 + 2 = 9 holds true, confirming the solution.

In the given problem, we are told that the sum of a number (represented by 'x') and 2 is equal to 9. To solve this problem, we isolate the variable 'x' by subtracting 2 from both sides of the equation.

This yields the equation x + 2 - 2 = 9 - 2, which simplifies to x = 7. Therefore, the number that satisfies the given condition is 7.

In other words, when we substitute 7 into the original equation, we have 7 + 2 = 9, which holds true. This confirms that 7 is indeed the correct solution to the problem.

The equation x + 2 = 9 describes the relationship between the number and the given condition. By solving the equation, we find that the unknown number is 7, and when we substitute this value back into the equation, it satisfies the given conditions.

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The mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

Given data values are 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and 2. We need to calculate the mean, median, and mode of this sample.So, let's first arrange the data values in ascending order:2, 50, 52, 53, 55, 56, 57, 61, 69, 70, 73

Mean:The mean is the sum of all the data values divided by the total number of data values. So, we can use the following formula to calculate the mean:

Mean = (sum of all the data values) / (total number of data values)Sum of all the data values = 55 + 56 + 70 + 61 + 53 + 57 + 50 + 73 + 52 + 69 + 2 = 598Total number of data values = 11

Therefore,Mean = (sum of all the data values) / (total number of data values) = 598 / 11 = 54.36 (rounded to two decimal places)Therefore, the mean of the given data values is 54.36.

Median:The median is the middle value of a sorted data set. Since the data set has 11 data values, the median is the average of the 6th and 7th values (counting from smallest to largest).

Therefore, the median is :Median = (55 + 56) / 2 = 55.5Therefore, the median of the given data values is 55.5.

Mode:The mode is the data value that appears most frequently in the data set. In this case, there is no data value that appears more than once. So, there is no mode.

Therefore, the mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

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Answer:

let y=0

3x+6(0)=18

3x=18

x=6

(6;0)

Answer: 3

Step-by-step explanation: If you solve the equation, like I did in the attached image, you will see that the x-intercept is 3.

Answer:

70degrees

Explanation:

The diagrammatical representation of the statement is as shown;

Since the sum of angles on a straight line is 180degrees, then;

m8x+2 + 5x = 180

13x + 2 = 180

13x = 180 + 2

13x = 182

x = 182/13

x = 14

Get mmmmHence the measure of m

Answer:

-6 negative six

Step-by-step explanation:

3- 2 - 1 - 4 + 2 - 4= -6

Answer:

check online for more information

Answer:

d)53.36×10⁻⁷N ​

Step-by-step explanation:

The formula for gravitational force between two bodies is given by

F = G (Mm/r²)

Where,

F = gravitational force ( we are asked to find this)

G = gravitational constant = 6.674 x 10⁻¹¹

M = mass of one of the bodies = 4000 kg

m = mass of the the other body = 2000 kg

r = distance between the two bodies = 10m

substituting the above values into the equation:

F = G (Mm/r²)

= (6.674 x 10⁻¹¹) (4000)(2000) / (10²)

= 5.339 x 10⁻⁶

= 53.39 x 10⁻⁷  Newtons

The closest answer to this is d

Answer: 96 slices

Step-by-step explanation:

The general solution of the given recurrence equation is Qn = (-1/4)(-1)n + (1/4)n(-1)n + (1/2)(3)n.

The given recurrence equation is

Qn-1 + 5Qn-2 + 3Qn-3 = 3

Let's find the characteristic equation of the given recurrence equation:

By assuming Qn = rn,

the characteristic equation can be derived as:

r3 - r2 - 5r - 3 = 0

So, the characteristic polynomial is

(r + 1)(r - 3)2

Let α = -1 and β = 3 (repeated roots)

Now, the solution of the given recurrence equation is:

Qn = Arn + Bnαn + Cnβn

As α = -1 and β = 3 are the roots of the characteristic equation, substitute these values in the above equation.

We have

A(-1)n + Bn(-1)n + Cn(3)n ... (1)

As we are going to find the general solution of Qn, the constants A, B, and C need to be determined.

Let's solve for A, B, and C by considering the first few terms of the given recurrence equation.

Suppose n = 3 in the recurrence equation Qn-1 + 5Qn-2 + 3Qn-3 = 3, we have

Q2 + 5Q1 + 3Q0 = 3 ... (2)

Now, substitute n = 2 in the general solution (1), we have

Q2 = A(-1)2 + B2(-1)2 + C23 ... (3)

Now, substitute n = 1 in the general solution (1), we have

Q1 = A(-1)1 + B1(-1)1 + C31 ... (4)

Now, substitute n = 0 in the general solution (1), we have

Q0 = A(-1)0 + B0(-1)0 + C30 ... (5)

Now, let's solve for A, B, and C using equations (2), (3), (4), and (5).

Q2 + 5Q1 + 3Q0 = 3:

2A + 5B + 3C = 3A(-1)2 + B2(-1)2 + C23:

A - B + 9C = 3A(-1)1 + B1(-1)1 + C31:

-A - B + 3C = 1A(-1)0 + B0(-1)0 + C30:

A + B + C = 1

On solving the above equations,

we get A = -1/4, B = 1/4, and C = 1/2

So, the general solution of the given recurrence equation is  

Qn = (-1/4)(-1)n + (1/4)n(-1)n + (1/2)(3)n

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y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.