The function C (t) = 60 + 24t is used to find the total cost (in dollars) of renting an industrial cleaning unit for thours.


What does C (12) represent?


The cost at half the hourly rate


The cost of renting the unit for 12 days


The cost of renting the unit for 12 hours


Twelve times the cost of renting the unit for 1 hour

Answer:

240 copies in 30 minutes

Step-by-step explanation:

they gave us the info that it makes 40 copies in 5 minutes, divide 40/5 and you get 8, which tells us that it makes 8 copies per minute.

multiply the 8 copies that it can make in a minute by the 30 minutes, 30*8 and you get 240 copies

hope this helps :)

Answer: 21

Step-by-step explanation:

Step-by-step explanation:

tbh I have no idea

doing this for points

so yeah

To increase real GDP and bring it closer to potential GDP during a recession, the government could increase government spending and/or decrease taxes.

During a recession, when real GDP is below potential GDP, the government can use fiscal policy tools to stimulate economic growth and close the GDP gap. The two options that can be effective in this situation are increasing government spending and decreasing taxes.

Increase government spending: By increasing spending on infrastructure projects, education, healthcare, or other sectors, the government can create demand in the economy, which leads to increased production and employment, ultimately raising real GDP.

Decrease taxes: Reducing taxes can provide individuals and businesses with more disposable income, encouraging consumption and investment. This increased spending and investment can boost aggregate demand, leading to higher production levels and closing the GDP gap.

Decreasing government spending and increasing taxes, on the other hand, would have contractionary effects, potentially exacerbating the recessionary conditions by reducing overall demand in the economy. Therefore, these options are not suitable for increasing real GDP during a recession.

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Answer:15319

Step-by-step explanation:the difference in elevation for the mountain and the valley is those numbers added if it was a mountain and another mountain you would subtract

Answer:

Definitely B 84.5

Just worked it out

Answer:

84.5

Step-by-step explanation:

List the numbers in order. I cross them out smallest then biggest and so on until I get either the one in the middle or the two in the middle. If It's only one in the middle that's your answer. If it's two in the middle find the average. In this case the middle two numbers were 85 and 84. 85+84= 169. 169/2=84.5. Hope this helps :)

the third one

Step-by-step explanation:

Answer:

1,11,111 I don't know how I know it I just know it

In this question, we are given two problems. The first problem involves finding the shortest distance between a given line and a plane. The line is represented by parametric equations, and the plane is represented by an equation.

a) To find the shortest distance between the line and the plane, we can use the formula for the distance between a point and a plane. We need to find a point on the line that lies on the plane, and then calculate the distance between that point and the line. The calculation process will be explained in more detail.

b) In part (i), we are given that the skydiver reaches a terminal velocity of 60 m/s after a long time. We can use this information to determine the constant k in the differential equation. In part (ii), we need to solve the given differential equation with the initial condition v(0) = 0 using the value of k found in part (i). We can use separation of variables and integration to find the solution. In part (iii), we are asked to sketch the solution for a time interval of t = 20. We can use the solution obtained in part (ii) to plot the graph of velocity versus time.

In the explanation paragraph, we will provide step-by-step calculations and explanations for each part of the problem, including finding the distance between the line and the plane and solving the differential equation for the skydiver's motion.

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Answer:

15(bananas)

Step-by-step explanation:

Each:

1 ×15(bananas)

1 ×10(cherries)

1 ×4(apple)

So,

15+10×4 =55

The equation represents the situation as 17.50 + 24x ≤ 113.50 and the number of people who can go to the amusement park is 4.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

As per the given,

Total budget = $113.50

Cost of parking + cost of tickets ≤ 113.50

17.50 + 24x ≤ 113.50

24x ≤ 96

x ≤ 4

Thus "The equation represents the situation as 17.50 + 24x ≤ 113.50 and the number of people who can go to the amusement park is 4".

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There are 9,999 natural numbers that have no more than 4 digits.

To determine the number of natural numbers that have no more than 4 digits, we consider the range of numbers from 1 to 9,999.

The natural numbers with no more than 4 digits include all numbers from 1 to 9 (which form the single-digit numbers), all numbers from 10 to 99 (which form the two-digit numbers), all numbers from 100 to 999 (which form the three-digit numbers), and all numbers from 1,000 to 9,999 (which form the four-digit numbers).

To calculate the total count, we can add the number of single-digit numbers, two-digit numbers, three-digit numbers, and four-digit numbers:

Single-digit numbers: 9 (from 1 to 9)

Two-digit numbers: 90 (from 10 to 99)

Three-digit numbers: 900 (from 100 to 999)

Four-digit numbers: 9,000 (from 1,000 to 9,999)

Adding these counts together:

9 + 90 + 900 + 9,000 = 9,999

Therefore, there are 9,999 natural numbers that have no more than 4 digits.

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Let's solve the problem,

→ [(2 + 2) - (6 - 2)] ÷ 2

→ (4 - 4) ÷ 2

→ 0 ÷ 2 = 0

Thus, the answer is 0.

Answer:

IRR = -5.19%

MIRR =  3.33%

The company should reject the project

Step-by-step explanation:

Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested

IRR can be calculated with a financial calculator

Cash flow in year 0 = -$12,000

Cash flow in year 1 = $2,360

Cash flow in year 2 =  $4,390

Cash flow in year 3 = $1,520

Cash flow in year 4 = $980

Cash flow in year 5 = $1,250

IRR = 5.19%

The modified internal rate of return is a capital budgeting method used to determine the profitability of an investment. The MIRR assumes that cash inflows are reinvested at the firm's cost of capital and outflows are financed at the firm's financing cost.

MIRR = (Future value of a firm's cash inflow / present value of the firm's cash outflow)^ (1/n)  - 1

n = number of years

present value of the firm's cash outflow = $12,000

Future value of a firm's cash inflow

Future value of year 1's cash flow = $2,360 x (1.12^4) = $3,713.51

Future value of year 2's cash flow =$4,390 x (1.12^3) = $6167.63

Future value of year 3's cash flow =$1,520  x (1.12^2) = $1906.69

Future value of year 4's cash flow = $980 X 1.12 = 1097.60

Future value of year 5's cash flow = 1250

Add the future values together = $14,135.43

($14,135.43 / $12,000)^0.2 - 1 = 3.33%

The project should be rejected because the IRR is negative.  

To find the IRR using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the IRR button and then press the compute button.  

Given vector field, F(x, y, z) = y cos (xy) i + x cos (xy) j – sin z k To calculate the curl of F, we need to take the curl of each component and subtract as follows,∇ × F = ( ∂Q/∂y - ∂P/∂z ) i + ( ∂P/∂z - ∂R/∂x ) j + ( ∂R/∂x - ∂Q/∂y ) k...where P = y cos(xy), Q = x cos(xy), R = -sin(z)

Now we calculate the partial derivatives as follows,

∂P/∂z = 0, ∂Q/∂y = cos(xy) - xy sin(xy), ∂R/∂x = 0...

and,

∂P/∂y = cos(xy) - xy sin(xy), ∂Q/∂z = 0, ∂R/∂y = 0

Therefore,

∇ × F = (cos(xy) - xy sin(xy)) i - sin(z)j

The curl of F is given by:

(cos(xy) - xy sin(xy)) i - sin(z)j.

To state whether F is conservative, we need to determine if it is a conservative field or not. This means that the curl of F should be zero for it to be conservative. The curl of F is not equal to zero. Hence, the vector field F is not conservative. Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve:

r(t) = n* i + t}j + tcos atk, 15t52.

The curve C is defined as follows,r(t) = ni + tj + tk cos(at), 0 ≤ t ≤ 1Given vector field, F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk Using the curve parameterization, we get the line integral as follows,∫CF.dr = ∫10 F(r(t)).r'(t)dt...where r'(t) is the derivative of r(t) with respect to t

= ∫10 [(t cos(at))(cos(n t)) i + (n cos(nt))(cos(nt)) j + (-sin(tk cos(at)))(a sin(at)) k] . [i + j + a tk sin(at)] dt

= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) + (-a t sin(at) cos(tk))(a sin(at))] dt

= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) - a^2 (t/2) (sin(2at))] dt

= [sin(at) sin(nt) - (a/2) t^2 cos(2at)]0^1

= sin(a) sin(n) - (a/2) cos(2a)

The vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is given. Firstly, we need to calculate the curl of F. This involves taking the curl of each component of F and subtracting. After calculating the partial derivatives of each component, we get the curl of F as (cos(xy) - xy sin(xy)) i - sin(z)j. Next, we need to determine whether F is conservative. A conservative field has a curl equal to zero. As the curl of F is not equal to zero, it is not a conservative field. In the second part of the problem, we have to calculate the scalar line integral of the vector field F. dr along the curve C joining the origin to the point with coordinates (1, 2V2, 2). We use the curve parameterization to calculate the line integral. After simplifying the expression, we get the answer as sin(a) sin(n) - (a/2) cos(2a).

The curl of the given vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is (cos(xy) - xy sin(xy)) i - sin(z)j. F is not conservative as its curl is not zero. The scalar line integral of the vector field F along the curve C joining the origin to the point with coordinates (1, 2V2,2) is sin(a) sin(n) - (a/2) cos(2a).

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The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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Answer:

Question 2 is 6

Step-by-step explanation:

I don’t understand what your asking on if you can simplify what is the GCF

The maximum value that f(x) reach for a normal distribution n(75, 6) is 75.

Normal Distribution is defined as the probability distribution that is symmetric about the mean.

For a normal distribution the mean , median and mode all are same.

Normal distribution is denoted by N(mean, variance).

According to the given question

The normal distribution is given as N(75,6).

which means mean = 75 , and variance = 6.

and for a normal distribution the mean is the maximum ,

so the given mean "75" will be the maximum, the maximum of the graph of normal distribution will be at x=75.

Therefore , The maximum value f(x) reach for a normal distribution n(75, 6) is 75.

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Mean of country A is $29600 and median $29000. Mean of country B is $49800 and median is $29000. Country B has greater income inequality. So option B is the correct answer.

Mean of incomes in country A = (9000+ 21000+ 29000 + 39000+ 50000)/5   =  $29600

Median income of country A = (5+1)/2 th term = 3rd term = $29000

Mean to median ratio = 29600/ 26000= 1.02

Mean income of country B = ( 9000+ 21000+ 29000+ 39000+ 151000)/5 = $ 49800

Median income = (n+1)/2 th term = (5+1)/2 = 3rd term = 29000

Mean to median ratio of country B = 49800/29000 = 1.71

Since mean and median are closer to each other, standard deviation is less. The mean to median ratio is greater for country B. So country B has greater income inequality.

If the income inequality has been increasing, then the mean-median ratio will increase, due to the extreme values, mean will increase. So option B is the correct answer.

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Answer:

Answer:

A = Full bottle can fill 34 ounces water and 27.2 ounces left in the bottle

Step-by-step explanation:

Full bottle: 100%

6.8 ounces: 20%

100% / 20% = 5

Full bottle = 6.8 x 5 = 34 ounces

water remain in bottle = 34 -6.8 = 27.2 ounces

B = Answer:

55% or 27.2 ounces

Step-by-step explanation:

If he poured out another 25% out of the 80% percent that was there he would have 55% or 27.2 ounces.

The number of sophomores after reducing ratio 1840.

What is ratio?

 A ratio in math displays how many times one number is contained in another. The ratio of oranges to lemons, for instance, is eight to six if there are eight oranges and six lemons in a bowl of fruit. In a similar way, the ratio of oranges to all other fruits is 8:14, while the ratio of lemons to oranges is 6:8.

Here the ratio is,

=> freshmen: sophomore = 12: 16

Here there total is 3220.

Total ratio = 12+16 = 28 ,

Then ,

28 = 3220

16 = x

After inter multiplication ,

=> x = \(\frac{3220*16}{28}\)

=> x = 1840.

Hence the number of sophomores is 1840.

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A) The inverse of the function y = 3√x is given by y =\(x^3/27.\)

B) the inverse of the function y = \(-(0.4)∛x - 2 is given by y = -15.625(x + 2)^3.\)

To find the inverse of the function y = 3√x, we need to switch the roles of x and y and solve for y.

Let's start by rewriting the equation with y as the input and x as the output:

x = 3√y

To find the inverse, we need to isolate y. Let's cube both sides of the equation to eliminate the cube root:

\(x^3 = (3√y)^3x^3 = 3^3 * √y^3x^3 = 27y\)

Now, divide both sides of the equation by 27 to solve for y:

\(y = x^3/27\)

Therefore, the inverse of the function y = 3√x is given by y = x^3/27.

For the second function, y = -(0.4)∛x - 2, we can follow the same process to find its inverse.

Let's switch the roles of x and y:

\(x = -(0.4)∛y - 2\)

To isolate y, we first add 2 to both sides:

\(x + 2 = -(0.4)∛y\)

Next, divide both sides by -0.4 to solve for ∛y:

-2.5(x + 2) = ∛y

Cube both sides to eliminate the cube root:

\(-2.5^3(x + 2)^3 = (∛y)^3-15.625(x + 2)^3 = y\)

Therefore, the inverse of the function y = \(-(0.4)∛x - 2 is given by y = -15.625(x + 2)^3.\)

It's important to note that the domain and range of the original functions may restrict the domain and range of their inverses.

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Yes, the probability of success (winning a prize) is the same for each spin, since each segment on the prize wheel is of equal size.

Probability is a branch of mathematics that deals with the study of random events or experiments. It is concerned with quantifying the likelihood of a particular event or outcome occurring, based on the knowledge of the set of possible outcomes and the factors that affect them. Probability is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

Here,

Yes, the outcomes are binary: winning or not winning a prize.

Yes, the trials are independent, since the outcome of one spin does not affect the outcome of the other spins.

Yes, we are counting the number of spins until Marshall wins a prize, which makes it a geometric setting.

To calculate the probability that Marshall wins the prize on the first spin, we use the geometric probability formula:

P(X = 1) = (1/4)* (3/4)⁰ = 1/4

To calculate the probability that Marshall wins the prize on the second spin, we use the geometric probability formula again:

P(X = 2) = (1/4)* (3/4)= 3/16

And so on for each additional spin.

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Answer:

see picture

Step-by-step explanation:

The quadratic equation that has (3·x + β) ans (3·x + a) as the roots can be presented as follows;

9·x² - 7.5·x - 3 = 0

A quadratic equation is an equation that can be expressed in the form; y = a·x² + b·x + c, where, a ≠ 0, and a, b, and c are numbers.

The quadratic equation -2·x² - 5·x + 6 = 0, divided by a factor of -1 indicates that we get;

2·x² + 5·x - 6 = 0

The quadratic formula indicates that we get;

x = (-5 ± √(5² - 4 × 2 × (-6))/(2 × 2) = (-5 ± √(73))/4

Let a = (-5 + √(73))/4 and let β =  (-5 - √(73))/4)

(3·x + ((-5 + √(73))/4)) × (3·x + (-5 - √(73))/4) = 9·x² + 3·x·(-5 - √(73))/4) + 3·x·(-5 + √(73))/4) + ((-5 + √(73))/4)) × (-5 - √(73))/4)

9·x² + 3·x·(-5 - √(73))/4) + 3·x·(-5 + √(73))/4) + ((-5 + √(73))/4)) × (-5 - √(73))/4) = 9·x² - 15·x/2 - 3 = 0

Therefore, the equation that has (3·x + β) ans (3·x + a) as roots is the equation

9·x² - 15·x/2 - 3 = 9·x² - 7.5·x - 3 = 0

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Answer: C

Step-by-step explanation:

Perpendicular lines are irrelevant. A is to create a triangle and to show 2 angles in the triangles are congruent. B is to prove the 2 triangles are congruen. D is to prove that AC and BD are congruen. no where is perpendicular lines involved.

Answer:

easy it is B trust me

Step-by-step explanation:

Answer:

There were 8 student who went on a trip.

Step-by-step explanation:

Let's call the original number of students "x". The total cost of the trip was $80, so the cost per student was $80/x.

When four more students decided to go, the new number of students became x + 4, and the cost per student was reduced by $1, to $80/x - $1.

We can set up an equation to solve for x:

$80/x = $80/(x + 4) - $1

Expanding the right side:

$80/x = $80/x + $80/4 - $1

Combining like terms:

$80/x = $80/4 + $80/x - $1

Solving for x:

$80/4 = $80/x - $1

$80/4 + $1 = $80/x

$20 + $1 = $80/x

$21 = $80/x

Finally, solving for x:

x = 80/$21 = 80/21 = 3.81 (rounded to nearest whole number)

So, there were 4 students on the original trip.

There were 4 students on the original trip and 4 more students joined, so in total, there were 4 + 4 = 8 students who went on the trip.

Answer: 8 student

Step-by-step explanation:

Answer:

10×10.70=$107 spent on cups

107-293=$186 spent on the jacket

so for the jackets 186= how many they got and much each cost.

u=186÷x

or 186=u the cost of each × x how many they got.

Answer:

b

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Statistics are used to make inferences about certain population parameters through the analysis and interpretation of data collected from samples. In statistical analysis, a sample is a subset of individuals or observations selected from a larger population. By studying the characteristics and relationships within the sample, statisticians can draw conclusions or make predictions about the corresponding population.

The goal of using statistics is to gain insights into population parameters that are often unknown or impractical to measure directly. Population parameters, such as means, proportions, variances, and correlations, describe specific characteristics of the entire population of interest. However, due to limitations in time, resources, and feasibility, it is often not possible to collect data from the entire population. Instead, statisticians collect data from a representative sample and use statistical techniques to estimate and infer population parameters.

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