Gabriel Harris earns an annual salary of $156,000 as CFO of
TechMedia, Inc. He is married and claims three dependents. TechMedia
recently converted from a weekly pay plan to a monthly pay plan.
How much more will Gabriel have deducted from his monthly pay
than from his weekly pay for state income tax?

The number of yards of fabric remaining, y, depends on the number of tote bags Tara sews, x is y = 12 - 1.25x.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, Tara bought 12 yards of fabric to make tote bags and each bag requires 1.25 yards of fabric.

The equation that describes the number of yards of fabric remaining, y, depends on the number of tote bags Tara sews, x is

y = 12 - 1.25x.

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The correct number of Standard deviation to generate a confidence interval is therefore 1.65.

Given that;

This shows that the percentage in a normal distribution that is at most 1.65 standard deviation above average is about 95%.

Percentage above 1.65 SD equals 100 - 95 = 5.

Now, because of the symmetric distribution,

Percentage above 1.65 SD = % below 1.65 SD is what we can see:

Below 1.65 SD + between 1.65 SD below and 1.65 above + above 1.65 SD + % above 1.65 SD = 100%

=> 5% + between -1.65 SD below and 1.65 above + 5% = 100%

=> % between -1.65 SD and 1.65 SD above mean = (100 - 5 - 5)% = 90%

The correct number of SDs to generate a confidence interval is therefore 1.65.

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Answer:

                                 x1  y1    x2  y2

1. 0 - explanation - (4, -2)   (9, -2)     -2 - -2

                                                              4 - 9 (put a fraction bar when you put the y2 and y1 together and put the x2 and y2 in the denominator spot) basically -2 subtract -2 equals 0

2. it would be defined or 0

The inequality that represents the bid for the artwork is A. b ≥ 25,000.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

In this case, the famous piece of artwork was up for bid at a museum auction and the minimum bid was $25,000.

Let the minimum bid be b. This will be b ≥ 25,000.

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Inequality which have like variables term on each side of the given inequality symbol is given by 16 - 2x > x + 16.

As given in the question,

Inequality which have like variables term on each side of the given inequality symbol is :

a. 15c + 25 ≤ 115

In the given inequality, on left hand side we have variable c and constant term while on the right hand side of the inequality only constant.

Not correct option.

b. 0.75r - 6.25 > 10

In the given inequality, on left hand side we have variable r and constant term while on the right hand side of the inequality only constant.

Not correct option.

c. 16 - 2x > x + 16

In the given inequality, on left hand side we have variable x and constant term while on the right hand side of the inequality also variable x and constant term.

Correct option.

d. 12.25h -175 < 5,000

In the given inequality, on left hand side we have variable h and constant term while on the right hand side of the inequality only constant.

Not correct option.

Therefore, inequality which have like variables term on each side of the given inequality symbol is given by 16 - 2x > x + 16.

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The percentile rank / score in the setting of statistics denotes the percentage of the population that falls below it when the data is organized in ascending order.

For the given question.

The difference in the percentiles and raw scores is-

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Answer:

it's a answer done bro

The rate of change in height when height is 6 inches is 2.37 inches per second approximately.

We know that the volume of cube with length L, width W and height H is given by,

V = L*B*H

So given that the length is 15 inches

the width is 16 inches

Let the height be h inches.

So now the volume is given by,

V = 15*16*h

Differentiating the volume with respect to time 't' we get,

dV/dt = 15*16 dh/dt

Now given that the rate of change in volume per second is 569 cubic inches.

So, dV/dt = 569

So, 15*16 dh/dt = 569

dh/dt = 569/(15*16) = 569/240 = 2.37 (approx)

So the rate of change in height is 2.37 inches approximately.

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Answer:2.86

Step-by-step explanation:

3.5(x +2) = 17

3.5x + 7 = 17

3.5x =17 - 7

3.5x =10

x = 10/3.5

x = 2.86

Answer:

Y = 3/4x + 0

Step-by-step explanation:

Find the slope of the line = Rise/Run.

[tex]\frac{-3-6}{-4-8}[/tex]  = [tex]\frac{-9}{-12}[/tex]

= 0.75 or 3/4.

Therefore, insert into point slope form using one of the corresponding points; (8, 6) for example;

Y-6 = 3/4(x-8)

= Y-6 = 3/4x-6

and simplify the equation;

Y = 3/4x + 0 also just Y = 3/4x.  

I hate to leave you without an answer, but there isn't enough information to be able to answer your problem.

Point C (3,8) is the required ordered pair that is not the solution of the given equation. Option C is correct.

Given that,
To determine which ordered pair is NOT a solution to the equation y = 2x.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given relation y = 2x
Now substitute every value of x from the ordered pair and match the output with the corresponding value of the ordered pair.
put x = 1, 2, 3, 5
Y = 2(1)
y = 2
Similarly the outcome of the values,
x = 2, 3, 5
y = 4, 6, 10

Thus, Point C (3,8) is the required ordered pair that is not the solution of the given equation. Option C is correct.

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Answer:

one is 203

two is 87

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's say your consecutive numbers are A and B with A+2=B. Using the information we have been given, we can get the linear equation; AB=3B+22. A=B-2, so we can replace A with B-2 to get (B-2)(B)=3(B+22). Multiplying this out, we get B^2-2B=3B+66. Simplifying, we get B^2-5B-66=0. This is a quadratic equation. Using the quadratic formula, we get B=11,-6. B has to be positive, so B=11. A+2=11, so A=9

Answer:

(y+x)+8

it is expressed like that i think

Answer:

(Y+x)+8

Step-by-step explanation:

The percent decrease in the travel time after getting a new job is 36%.

Percentage is defined as part of a whole expressed in hundredths or out of 100. It is usually written with the symbol "%".

First, determine the decrease in travel time after getting a new job by subtracting the new travel time of 30.72 minutes from the initial travel time of 48 minutes.

decrease in time = 48 - 30.72

decrease in time = 17.28

Then, determine the percent decrease by dividing the decrease in time of 17.28 minutes by the initial travel time of 48 minutes and multiply by 100.

percent decrease = (17.28 / 48) x 100

percent decrease = 36%

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The inverse of the function f(x) = 1/3x-2 is f^-1(x) = (1 + 2x)/3x.

A function f is has an inverse if it is both one-to-one and onto.

Given the function f(x) = 1/3x-2

we replace f(x) with y and make x the subject of the formula to derive the inverse function f^-1(x) as follows ;

y = 1/3x - 2

by cross multiplication

3x - 2 = 1/y

add 2 to both sides of the equation

3x = 1/y + 2

3x = (1 + 2y)/y

divide both sides of the equation by 3

x = (1 + 2y)/y ÷ 3

x = (1 + 2y)/3y

So, f^-1(x) = (1 + 2x)/3x

Therefore, the inverse of the function f is derived by interchanging the value of x for y and vice versa, that is f^-1(x) = (1 + 2x)/3x.

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The correct option c) 120; for the assignment of 7 students to 10 seats in a row.

The formula for finding the combination is-

ⁿCₓ = n!/ x!(n - x)!

Where,

For the given question.

Total students to be assigned a seat = 7.

Total seats in a classroom = 10.

Thus, Applying combination;

¹⁰C₇ = 10!/7!(10 - 7)!

¹⁰C₇ = 120

Thus, if there are 10 seats in a row, there are 120 different ways that 7 students could be seated in a classroom.

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The speed of the faster car is 40 miles/hr.

both cars travel for same time , so let that time be 't'

car 1 :

distance travelled = 75 miles

let the speed of the car be = x miles/hr

∴ time (t)  = distance / speed

              t  =   75 / x               .............(1)

car 2 :

distance travelled = 100 miles

speed of the car is = x + 10 miles/hr  ( already provided )

∴  time ( t) = distance / speed

            t  = 100/ (x+10)        ..............(2)

    now as the time for both the cases is same  , so we equate eqn (1) and eqn (2) .

∴ 75/x  =  100/ (x+10)

3x + 30 = 4x

x = 30

so the speed of the 1st car will be 30 miles / hr

and the speed of the 2nd car ( faster car ) will  be x + 10 = 40 miles/hr

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From the given three options the equation y = x^2 + 6 is non - linear.

What is linear equation?

A linear equation is one in which the variable's maximum power is consistently 1. A one-degree equation is another name for it. A linear equation with one variable has the formula Ax + B = 0, which is its standard form. x is a variable, A is a coefficient, and B is constant in this situation. A linear equation with two variables has the formula Ax + By = C as its standard form. Here, the variables are x and y, the coefficients are A and B, and the constant is C.

Consider, the first equation

y = 2^2

⇒ y = 4

Since, the constant equations are linear.

So, first equation is linear.

Consider, second equation

y = 2x - 5

Here, the variable x and y both having degree 1.

So, second equation is also linear.

Consider, third equation

y = x^2 + 6

Here, the variable y having degree 1, but the variable x having degree 2.

Therefore, equation (3) is non - linear.

Hence, the equation y = x^2 - 5 is non - linear.

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Answer:

2x2x3x5= 60

I hope you like it

Answer:

2 X 2 X 3 X 5

Step-by-step explanation:

We divide 60 by 2 as many times as possible to get 60 = 15 x 2 x 2. 2 is a prime number so we don't need to break the 2's down any more. Instead we break 15 down. 15 doesn't divide by 2 so we try the next prime number: 3 Divide 15 by 3 to get 15 = 5 x 3, and so 60 = 5 x 3 x 2 x 2. Now we collect the factors, so our final answer is 60 = 5 x 3 x 22.

Answer: 8

Step-by-step explanation:

7.69 to the nearest whole number is 8

Answer:

.58

Step-by-step explanation:

1.904 mcg/kg/min is what the client receives.

The number of mcg/kg/minute = flow rate × concentration ÷ mass of client

Flow rate = 12 ml/ hour = 12 /60 = 1/5 = 0.2 ml/min

Formula:

Concentration = mass of dopamine/volume

mass of dopamine = 800mg

volume = 500ml

Concentration = 800/ 500

= 1.6 mg/ml

= 1.6 × 1000 mcg/mg

= 1600 mcg/mg

Here the mass of the client = 70kg

Now calculating mcg/kg/minute = flow rate× concentration÷ mass of client

= 0.08 ml/min × 1600mcg/ml ÷70 kg

= 320/70

= 1.904 mcg/kg/min

Therefore mcg/kg/min is 1.904.

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Answer:

Let s, c, y and t represent the ages of Sofia, Carlos, Lily and Tony respectively.

c + y = 2s ------ equation (1)

t + 4 = c ------ equation (2)

6t + 1 = y ------ equation (3)

Since Sofia is 38 years old, substitute s = 38 into equation (1):

c + y = 2(38)

        = 76 ------ equation (4)

Substitute equations (2) and (3) into equation (4):

t + 4 + 6t + 1 = 76

          7t + 5 = 76

                7t = 71

∴ t = 10 (to the nearest whole number)

∴Tony is 10 years old (to the nearest whole number).

The probability of pulling a spade or a four of hearts is 0.264 .

we have , from a deck of cards

probability of pulling a spade = 1/4 = 13/52

probability of not pulling a spade 3/4 = 39/52

probability of pulling a 4 of hearts = 1/52

probability of not pulling a spade = 51/52

we have to find the probability of pulling a spade or a four of hearts from a random shuffled deck

So we can get three cases :

case  A :

getting a spade and not getting four of hearts

∴ P (A) = [tex](\frac{13}{52} ) (\frac{51}{52} )[/tex] = 663/2704

case  B :

not getting a spade and getting four of hearts

P(B) = [tex](\frac{39}{52}) (\frac{1}{52} )[/tex]  =  39/2704

case  C :

getting a spade and getting four of hearts

P(C) = [tex](\frac{13}{52})(\frac{1}{52} )[/tex] = 13/2704

therefore , the required probability will become

P = P(A) +P(B) + P(C)

P = 715/ 2704

P = 0.264

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Answer:

50

Step-by-step explanation: