A new computer can process the payroll for Brooklyn College in 12 hours An older computer needs 13 hours to process the same payroll: How long would the job take if both computers were used together to process the payroll? a) Let t the time to complete the payroll: Write the equation you would use to solve this problem b) Now solve your equation Give your answer first as reduced fraction, and then as decimal rounded to places_ Working together, the two computers will complete the payroll in: hours (write as fraction) , which as decimal is hours _

Answer:

2 hours and 20.4 minutes

Step-by-step explanation:

2.34 * 60 (minutes) = 140.4 minutes or 2 hours and 20.4 minutes

The relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean is (b) The 95% C.I. is more precise in estimating a mean than the 90% C.I.

You have a 5% probability of being incorrect with a 95% confidence interval. You have a 10% probability of being incorrect with a 90% confidence interval.

The upper and lower numbers of a range with a 95% confidence interval (CI) of the mean are determined from a sample. This range describes potential possibilities for the mean because the actual population mean is unknown. Hence, the 95% C.I. is more precise in estimating a mean than the 90% C.I.

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Answer:

b

Step-by-step explanation:

The value of x is 25.

Given that,

Based on the above information, the calculation is as follows:

x - y = 14

x = 14 + y

And,

x - 2y = 3

14 + y -2y = 3

14 - y = 3

y = 11

So x = 14 + 11

= 25

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Ans

184 sq meter

Step-by-step explanation:

Area of the cuboid box = (2*FA)+(2*SA)+(2*TA)

Where FA= Front face area

SA= Side face area

TA= top face are

Here FA= length * breadth = 10*6=60 sq meter

SA= 10*2= 20 sq meter

TA= 6*2= 12 sq meter

So area of box= 2*60+2*20+2*12= 184 sq meter

Median for the given data 17, 2 ,7 is  12.

What is median?

The median is that the value that’s precisely within the middle of a dataset once it's ordered. It’s a live of central tendency that separates the bottom 50% from the very best 50% of values.

Main body :

First of all to find the median data should be arranged in ascending order.

Aranging data in ascending order

2, 5 , 7 , 7 , 8 , 8 , 10 , 10 , 14 , 15 , 17 , 18 , 24 , 27 , 28 , 48

Now there are even number of terms i. e 16

So,

M1 = n / 2 and M2 = ( n / 2 ) + 1

= 16 / 2 = 8 + 1

= 8th term = 9th term

M1 = 10 M2 = 14

Median, M = ( M1 + M2 ) / 2

= ( 10 + 14 ) / 2

= 24 / 2

= 12

Hence median of observation is 12.

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Answer:

Can you speak filipino?

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Answer:

how do you get here my baby mafiajasmine. j.k

We have to predict the adjusted wages in 2002. This prediction requires interpolation because the year 2002 lies between 2000 and 2010. In 2000, the adjusted federal minimum wage was $7.87.In 2010, the adjusted federal minimum wage was $8.63.

Thus, we have a range of $7.87 to $8.63 for the adjusted federal minimum wage in constant 2020 dollars. In 2002, we have to find the adjusted federal minimum wage. Using interpolation, we can predict the adjusted wages in 2002.

We have:$$ \text{Adjusted Federal Minimum Wage} = a + (b-a)\frac{x-x_1}{x_2-x_1}$$where,$a = 7.87$, $b = 8.63$, $x_1=2000$, $x_2=2010$, and $x=2002$.

Hence,we have$$ \text{Adjusted Federal Minimum Wage} = 7.87 + (8.63 - 7.87) \times \frac{2002 - 2000}{2010 - 2000}$$$$ \text{Adjusted Federal Minimum Wage} = 7.87 + 0.076$$$$ \text{Adjusted Federal Minimum Wage} = 7.946$$Therefore, the predicted adjusted wages in 2002 is $7.95.b.

We have to predict the adjusted wages in 2039. This prediction requires extrapolation because the year 2039 lies beyond the given data.

In 2020, the adjusted federal minimum wage was $7.25.In order to predict the adjusted wages in 2039, we need to calculate the change in wages per year, and then use that to predict the wages for 19 years.

We have:Change in adjusted wages per year $= \frac{8.63 - 7.25}{2010 - 2020}$$$$= 0.0138$$Therefore, using extrapolation, we have$$ \text{Adjusted Federal Minimum Wage} = 7.25 + 0.0138 \times 19$$$$ \text{Adjusted Federal Minimum Wage} = 7.511$$

Hence, the predicted adjusted wages in 2039 is $7.51.

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The graph that best represents the number of lawns Greta can mow per hour will have slope of 0.6

The general equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept of the line.

Given is Greta who can mow 3 lawns in 5 hours.

The slope [m] of a straight line represents the rate of change of variable along the y - axis with respect to the variable along the x - axis. Mathematically -

[m] = dy/dx

or

[m] = Δy/Δx

In easy words, it gives us the unit rate of change of variable [y]. Now,  

Greta can mow 3 lawns in 5 hours. We can write -

3 lawns will be mowed in 5 hours

In 1 hour, the number of lawns mowed will be (3/5) or 0.6.

Now, label the x - axis representing the  the time taken in hours and the y - axis representing lawns mowed . The slope of this line will be 0.6 . Refer to the graph attached for graphical interpretation.

Therefore, the graph that best represents the number of lawns Greta can mow per hour will have slope of 0.6

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Answer:

(x,y) (x+9,y+3)

Step-by-step explanation:

to find the number for x count how many points up on the graph the next x coordinate is located, and to find the number for y find how many points over the next y coordinate is.

Answer:

La oferta 2 oferce el mayor valor final. Es la que debería ser aceptada.

Step-by-step explanation:

Dada la siguiente información:

Oferta 1:

$150.000 hoy y $200.000 dentro de 10 años.

Oferta 2:

$30.000 al final de cada uno de los próximos 10 años.

Tasa de interés= 14%

Para decidir cuál de las dos ofertas es mejor, debemos calcular el valor final:

Oferta 1:

VF= VP*(1+i)^n

VF= 150.000*(1,14^10) + 200.000

VF= $2.261.523,48

Oferta 2:

VF= {A*[(1+i)^n-1]}/i

A= cash flow anual

VF= {30.000*[(1,14^20) - 1]} / 0.14

VF= $2.730.747,83

When receiving ammunition, unit personnel perform three tasks: ensuring items requested match item numbers on DA Form 3151-R, loading and securing the ammunition, and placarding the vehicle.

The first task performed by unit personnel when receiving ammunition is to ensure that the items requested match the item numbers on DA Form 3151-R. This form serves as a record of the types and quantities of ammunition being received. By comparing the requested items with the item numbers on the form, personnel ensure accuracy and prevent any discrepancies or errors in the delivery.

The second task involves the loading and securing of the ammunition. Unit personnel are responsible for safely and efficiently loading the ammunition onto the designated vehicle or storage area. This includes following proper handling procedures, using appropriate equipment, and adhering to safety protocols. The ammunition must be securely stored and arranged to prevent shifting or damage during transportation.

The final task is to placard the vehicle. Placarding involves visibly displaying the necessary warning signs or labels on the vehicle that indicate the presence of ammunition. This step is crucial for safety and compliance purposes, as it alerts other personnel and drivers to exercise caution when approaching or handling the vehicle. Clear and prominent placarding helps prevent accidents and ensures that everyone involved is aware of the potential hazards associated with transporting ammunition.

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Answer:

need more details

Step-by-step explanation:

...

Answer:

82.28

Step-by-step explanation:

1kg=2.2 pounds

\(37.4 \times 2.2 = 82.28\)

Answer:

the first one is 95

Step-by-step explanation:

Answer:

4 months

Step-by-step explanation:

The first planet we know grow 3 inches per month and starts at 6 inches. While the second plant is 2 inches and grows 4 inches per month, as 50-2 (the start of the inches) = 48. 48/12 months = 4 inches per month.

With this information we can slowly add up the time.

1st Month

Planet 1: 9 inches

Planet 2: 6 inches

2nd Month

Planet 1: 12 inches

Planet 2: 10 inches

3rd Month

Planet 1: 15 inches

Planet 2: 14 inches

4th Month

Planet 1: 18 inches

Planet 2: 18 inches

Answer:

Julio Dempsey's taxable wages are $21,900.

Step-by-step explanation:

Taxable wages can be described as the part of the gross pay of an employee that a particular type of tax is to deducted.

Withholding allowance can be described as an exemption that reduces the amount of income tax that is deducted by an employer from the paycheck of an employee.

Gross pay refers to the total earnings of an employee before any deductions are made to arrive at the taxable wages.

Based on the explanation above, Julio Dempsey's taxable wages can be calculated as follows:

Taxable wages = Gross pay - Withholding allowance = $23,400 - $1,500 = $21,900

Therefore, Julio Dempsey's taxable wages are $21,900.

The food truck sold 122 hamburgers that day.

Let's assume that x is the number of hamburgers that were sold that day..

A food truck sells hamburgers for 5.5 dollars each and drinks for 2 dollars each.

The food truck's revenue from selling a total of 203 hamburgers and drinks in one day was 834 dollars.

Now, as per the given conditions, x + y = 203 where y is the number of drinks sold that day.

The cost of a single hamburger is $5.5The cost of a single drink is $2

The revenue from the sale of 203 hamburgers and drinks is $834.

Thus, we can form another equation as 5.5x + 2y = 834So, we have to solve these two equations to find the value of x. Here, we will use the elimination method to solve the equations.

To eliminate y, we will multiply the first equation by 2, and we get:2x + 2y = 4065.5x + 2y = 834

Now, subtract the two equations:3.5x = 428x = 122

Hence, 122 hamburgers were sold that day.

Therefore, Total revenue = $834.

Number of hamburgers sold = x,

number of drinks sold = y.

We have the following system of equations:

                                x + y = 203 (1)

                                5.5x + 2y = 834 (2)

To solve the system, we will use the elimination method.

Multiplying equation (1) by 2, we get:2x + 2y = 4065.5x + 2y = 834

Now, subtracting equation (1) from equation (2), we get:3.5x = 428x = 122

Hence, the food truck sold 122 hamburgers that day.

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The gross salary for a sales of 40000 dollars is 5500 dollars.

A man receives a monthly salary of $3 500 together with a commission of

5% on all sales over $5 000 per month.

Therefore, his gross salary in a month in which his sales amounted to

40,000 dollars can be calculated as follows:

Hence,

gross salary = 3500 + 5% of 40000

gross salary = 3500 + 5 / 100 × 40000

gross salary = 3500 + 400(5)

gross salary = 3500 + 2000

gross salary = 5500 dollars

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Given that the cost is $1.10 per pound, we can calculate the cost per servable pound by dividing the total cost ($1.10 * 4 pounds) by the servable weight (2 pounds). Therefore, the correct option is c. $2.20.

The original weight of the food item is 4 pounds, and the cost per pound is $1.10. Therefore, the total cost of the food item is 4 pounds * $1.10 = $4.40.

The servable weight of the food item is 2 pounds. To find the cost per servable pound, we divide the total cost ($4.40) by the servable weight (2 pounds):

Cost per servable pound = Total cost / Servable weight = $4.40 / 2 pounds = $2.20.

Hence, the cost per servable pound for this food item is $2.20. Therefore, the correct option is c. $2.20.

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Answer:

Answer: 27:8

Step-by-step explanation:

There are 24 + 16 + 14 = 24+16+14= 54

54 marbles in total.

The ratio of total marbles to red marbles is 54 : 16, which simplifies to 27 : 8.

Answer: 27:8

Part A

f(100) is largest

Part B

h(-100) is largest

Part C

f(1/100) is largest

The function

f(x) = 4x-5

g(x) = 4(x-5)

h(x) = (x/4) - 5

Part A

f(100) = 4(100)-5

= 395

g(100) = 4(100-5)

= 4(95)

= 380

h(100) = (100/4) - 5

= 20

f(100) is largest

Part B

f(-100) = 4(-100)-5

= -405

g(-100) = 4(-100-5)

= 4(-105)

= -420

h(-100) = (-100/4) - 5

= -30

h(-100) is largest

Part C

f(1/100) = 4(1/100)-5

= -4.96

g(1/100) = 4((1/100)-5)

= 4(-4.99)

= -19.96

h(1/100) = ((1/100)/4) - 5

= -4.99

f(1/100) is largest

Hence,

Part A

f(100) is largest

Part B

h(-100) is largest

Part C

f(1/100) is largest

The complete question is

Here are the equations that define three functions.

f(x) = 4x - 5

g(x) = 4(x - 5)

h(x) =x/4 -5

a. Which function value is the largest: f(100), g(100), or h(100)?

b. Which function value is the largest: f(-100), g(-100), or h(-100)?

c. Which function value is the largest: f(1/100), g(1/100), or h(1/100)

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The maximum value of the function is approximately 1.724 and the minimum value is approximately -1.724.

To find the maximum and minimum values of the function y = sin x + sin 2x, we can first take its derivative with respect to x:

y' = cos x + 2 cos 2x

Then, we can set y' equal to zero and solve for x:

cos x + 2 cos 2x = 0

We can use a graphing calculator to find the solutions to this equation, which are approximately x = 0.285 and x = 2.857. We can then evaluate the original function at these values to find the maximum and minimum values:

y(0.285) ≈ 1.724

y(2.857) ≈ -1.724

Therefore, the maximum value of the function is approximately 1.724 and the minimum value is approximately -1.724.

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The type of variable that represents the names of the automobile manufacturers would be the categorical variable.

A variable is defined as the quantity that may change within the context of a mathematical problem, research work or an experiment.

There are various types of variables that include the following:

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The probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15

For given question,

A research center poll showed that 85 percent of people believe that it is morally wrong to not report all income on tax returns.

so, the probability that someone have this belief is P = 0.85

We know that in probability,

p = 1 - q

where;

p is probability of success

q is probability of failure.

Thus the probability that someone does not have this​ belief would be,

= 1 - P

= 1 - 0.85

= 0.15

Therefore, the probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15

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It's important to note that the logarithm function is defined only for positive values of x.  f(10) = log(10) ≈ 1.000.

To evaluate f(x) = log(x) at a given value of x, you need to input that value into your calculator and then apply the logarithm function to it. For example, let's say you want to evaluate f(x) = log(x) at x = 10. Here's how you would do it:

1. Input 10 into your calculator.
2. Press the "log" button to apply the logarithm function.
3. Your calculator should display the result, which is approximately 1.000 (rounded to three decimal places).

So, f(10) = log(10) ≈ 1.000.

It's important to note that the logarithm function is defined only for positive values of x. If you try to evaluate f(x) = log(x) at a negative value of x, your calculator will give you an error message.

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Answer: Option 1

Step-by-step explanation:

hope this helps pls mark me brainiest

Answer:

x = 4, y = 5.

Step-by-step explanation:

4x-2=3y-1

y+3=3x-4

Rearranging:

4x - 3y =  1       (A)

-3x + y = -7      (B)

Multiply  B by 3:

-9x + 3y = -21   (C)
Adding A and C:

-5x = -20

x = 4

Substitute for x in equation A:

4(4) - 3y = 1

3y = 15

y = 5.

Answer:

10:5 OR 2:1

Step-by-step explanation:

Let x be the parts of 25% dextrose and

y be the parts of 10% dextrose are mixed so that

20% dextrose mixture is obtained.

amount of dextrose in the mixture will be 20% of (x+y).

We have to find the value of \(\frac{x}y \ OR\ x:y\)

Now, we can apply the concept that sum of amount of dextrose in the two liquids will be equal to the amount of dextrose in the mixture.

\(\Rightarrow x \times 25\% + y \times 10\%=(x+y)\times 20\%\\\Rightarrow x \times\dfrac{25}{100} + y \times \dfrac{10}{100}=(x+y)\times \dfrac{20}{100}\\\Rightarrow x \times25 + y \times 10=(x+y)\times 20\\\Rightarrow 25x + 10y=20x+20y\\\Rightarrow 25x -20x =20y-10y\\\Rightarrow 5x=10y\\\Rightarrow \dfrac{x}{y} = \dfrac{10}{5}\\\Rightarrow \bold{x:y=10:5\ OR\ 2:1}\)

So, the answer is 10:5 or 2:1.

Answer:

4.90% is approximately the new Dextrose concentration.

Explanation:

Volume by Volume percent is given by ;

Volume percentage of dextrose solution = 5%

In 100 mL of solution 5 ml of dextrose is present.

Now, volume sterile water added was equal to the 40% of volume of dextrose volume.

So, volume of the sterile water added =  

Total volume of the solution after addition of water = 100 mL + 1 mL = 102 mL

New concentration of dextrose will be;

4.90% is approximately the new Dextrose concentration.

Step-by-step explanation: