61ft = _____yd in fraction form

The correct answer is option B: $157.50.To calculate the new price of the computer monitor this week, we need to follow the given information.

To find the new price of the computer monitor this week, we can follow these steps:

Calculate the price increase from two weeks ago to last week:

Increase = $175 * 20% = $35

Add the increase to the price from two weeks ago to get last week's price:

Last week's price = $175 + $35 = $210

Calculate the price decrease from last week to this week:

Decrease = $210 * 25% = $52.50

Subtract the decrease from last week's price to get the new price this week:

New price = $210 - $52.50 = $157.50

Therefore, the new price of the computer monitor this week is $157.50.

Out of the provided answer choices, the correct option is "O $157.50"..

It's important to note that the calculations are based on the given information and assumptions made regarding the percentage increases and decreases. Additionally, pricing and discount strategies may vary in real-world scenarios, so the actual prices may differ.

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(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.

To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.

If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).

If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.

Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).

(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.

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Complete question:

The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.

(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).

c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)

Answer:

D. (2, -3/4)

Step-by-step explanation:

y=1/8x-1

-5x+4y=-13

5x+4(1/8x-1)=-13

x=2

y=1/8x2-1

y=-3/4

Answer:

A) 74 inches

Step-by-step explanation:

31 + 18 + 25 = 74 inches total.

Therefore,

74 inches in the perimeter of the triangle.

Answer:

11 hours

Step-by-step explanation:

153 divided by 9 (which is 17) 17$ per hour so add 17 and 17 together which would be 34 and add it to 153 which would be 187$ he worked 2 more hours so in total he worked 11 hours.

and i know that was a bad explanation but its whatever hope this helped.

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Answer: y = 25

Explanation:

2x+5 = 3x - 33

x = 38

2x+5 + 4y-1 = 180

2(38) + 5 + 4y - 1 = 180

y = 25

I hope this helped!

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Answer:

1/ simplify polynomial is x^3 y^2 - x^2 y^3 + xy

2/ Answer is -86

Step-by-step explanation:

x²yxy-xy²xy +xy

Simplify each term, and I get

x^3 y^2 - x^2 y^3 + xy

I may be wrong!

Now let's put -3 in for x and 2 in y and evaluate

(-3)^3  (2)^2 -  (-3)^2  (2)^3  +  (-3 times 2)

(27) (4) - (9) (8) - 6

-86

I may be wrong, but I tried my best to help you since this question has been on for a long time, but no one answered. If I am wrong, I am sorry!

Answer:

2x^2+4x−13

Step-by-step explanation:

Answer:

Dimensions of section B = 36 inches, 48 inches

Area of the piece of sheet metal after both sections are cut and removed  = 6336 square inches

Step-by-step explanation:

Given: Width and length of a rectangular piece of sheet metal are 60 inches and 44 inches.

To find: dimensions of section B, the area of the piece of sheet metal after both sections are cut and removed

Solution:

Length of rectangle B = TR = SR - ST = PQ - ST (As SR = PQ being opposite sides of rectangle)

Length of rectangle B = PQ - ST = 60  - 24 = 36 inches

Breadth of rectangle B = UR = QR - QV - VT - TU

Here, QR = PS = 144 inches (opposite sides of rectangle PQRS are equal )

QV = 36 inches

VT = WX = 24 inches ( opposite sides of rectangle WVTX are equal)

TU = 36 inches

So,

Breadth of rectangle B = 144 - 36 - 24 - 36 = 48 inches

Area of rectangle B = length × breadth = 36 × 48 = 1728 square inches

Area of rectangle WVTX = length × breadth = 24 × 24 = 576 square inches

Area of rectangle PQRS = PQ × PS = 60 × 144 = 8640 square inches

Area of the piece of sheet metal after both sections are cut and removed =8640 - ( 1728 + 576 ) = 8640 - 2304 = 6336 square inches

We can express the solution to the original differential equation as:y2(x) = u(x) y1(x) = [c2 + c1 e x2/2 + C] e x

To verify that y1(x) = e x is a solution of (1), we will substitute y1(x) and its first and second derivatives into (1).y1(x) = e xy1′(x) = e xy1′′(x) = e xEvaluating the equation (x + 1)y ′′ − (x + 2)y ′ + y = 0 with these values, we get: (x + 1)ex − (x + 2)ex + ex = ex(1) − ex(x + 2) + ex(x + 1) = 0.

Hence, y1(x) = ex is a solution of (1).

Let y2(x) = u(x) y1(x), where u = u(x)Differentiating y2(x) once, we get:y2′(x) = u(x) y1′(x) + u′(x) y1(x).

Differentiating y2(x) twice, we get:y2′′(x) = u(x) y1′′(x) + 2u′(x) y1′(x) + u′′(x) y1(x).

We can now substitute these expressions for y2, y2' and y2'' back into the original equation and we get:(x + 1)[u(x) y1′′(x) + 2u′(x) y1′(x) + u′′(x) y1(x)] − (x + 2)[u(x) y1′(x) + u′(x) y1(x)] + u(x) y1(x) = 0.

Expanding and grouping the terms, we get:u(x)[(x+1) y1′′(x) - (x+2) y1′(x) + y1(x)] + [2(x+1) u′(x) - (x+2) u(x)] y1′(x) + [u′′(x) + u(x)] y1(x) = 0Since y1(x) = ex is a solution of the original equation,

we can simplify this equation to:(u′′(x) + u(x)) ex + [2(x+1) u′(x) - (x+2) u(x)] ex = 0.

Dividing by ex, we get the following differential equation:u′′(x) + (2 - x) u′(x) = 0.

We can solve this equation using the method of integrating factors.

Multiplying both sides by e-x2/2 and simplifying, we get:(e-x2/2 u′(x))' = 0.

Integrating both sides, we get:e-x2/2 u′(x) = c1where c1 is a constant of integration.Solving for u′(x), we get:u′(x) = c1 e x2/2Integrating both sides, we get:u(x) = c2 + c1 ∫ e x2/2 dxwhere c2 is another constant of integration.

Integrating the right-hand side using the substitution u = x2/2, we get:u(x) = c2 + c1 ∫ e u du = c2 + c1 e x2/2 + CUsing the fact that y1(x) = ex, we can express the solution to the original differential equation as:y2(x) = u(x) y1(x) = [c2 + c1 e x2/2 + C] e x.

In this question, we have verified that y1(x) = ex is a solution of the given differential equation (1). We have also found another solution y2(x) of the differential equation by letting y2(x) = u(x) y1(x) and solving for u(x). The general solution of the differential equation is therefore:y(x) = c1 e x + [c2 + c1 e x2/2 + C] e x, where c1 and c2 are constants.

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The rate of change (slopes) and initial value (y-intercepts) are as follows:

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.

By critically observing the graph which models the given data, we can logically deduce the following rate of change (slopes) and initial value (y-intercepts):

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Answer:

Step-by-step explanation:

J and K are equal

8x - 23 = 6x + 11            Add 23 to both sides

8x = 6x + 11 + 23           Combine the right

8x = 6x + 34                  Subtract 6x from both sides

8x - 6x = 34                   Combine the left

2x = 34                           Divide by 2

x = 34/2

x = 17

=================================

M and L are both supplementary to J and K respectively.

J = 8x - 23

J = 8*17 - 23

J = 136-23

J = 113

K = 113

===================================

M + 113 = 180

M = 180 - 113

M = 67

L = 67

15.3/0.012=??????????????

Answer: 1275

The two consecutive odd integers are 9 and 11. 1/8 plus 1/11 equals 12/35.

The sum of the reciprocals of two consecutive odd integers is 12/35.

1/x + 1/(x+2) = 12/35

(x+2)/(x*35) + (x/35) = 12/35

x + 2 + x = 12

2x = 10

x = 5

5 and 7 are the next two odd numbers.

The sum of the reciprocals of two consecutive odd integers is 12/35. To find the two integers, we need to solve for x. Since the two integers are consecutive and odd, the equation

1/x + 1/(x+2) = 12/35

can be used to find x. We can then multiply both sides of the equation by x*35 and simplify it to (x+2)/(x*35) + (x/35) = 12/35.

By subtracting x/35 from both sides and then adding 2 to both sides, we can get the equation

x + 2 + x = 12.

By solving the equation 2x = 10, we find that x = 5. This means that the two consecutive odd integers are 5 and 7. This can also be verified by checking that 1/5 + 1/7 is equal to 12/35.

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The width of the river is 75.4 meters.

To determine the width of a river, markers are placed at each side of the river in line with the base of a tower that rises 23.4 meters above the ground.

From the top of the tower, the angles of depression of the markers are 58 ∘ 20 ′  and 11 ∘ 40 ′.

Given:

Tower height = 23.4 m, ∠XMY = 58°20', ∠XNY = 11°40'.

Let XM and XN be the distances from the tower to the nearer and farther marker respectively.

Let the width of the river be MN = d meters.

Applying tangent in ΔYXM and ΔNXM, we get;

tan (58°20') = YM / XM ...(1)

tan (11°40') = YN / XN ...(2)

Adding equations (1) and (2), we get;

tan (58°20') + tan (11°40') = YM / XM + YN / XN ...(3)

Applying tangent in ΔYMN and ΔNXM, we get;

tan (90° - ∠YMN) = YM / d ...(4)

tan (90° - ∠NXM) = YN / d ...(5)

∠YMN + ∠NXM = ∠XMY + ∠XNY = 58°20' + 11°40' = 70°

Adding equations (4) and (5), we get;

cot 70° = YM / d + YN / d ...(6)

Substituting YM / XM + YN / XN from equation (3) in equation (6), we get;

cot 70° = (tan 58°20' + tan 11°40') × d / XM + XN ...(7)

We have;

XM + XN = Width of the river d + Width of the land 150 m

Therefore, XM + XN = d + 150

Substituting XM + XN = d + 150 in equation (7),

we get;

cot 70° = (tan 58°20' + tan 11°40') × [d + 150] / [d + 150]

cot 70° = (tan 58°20' + tan 11°40')d / [d + 150]

We get: d ≈ 75.4

Therefore, the width of the river is 75.4 meters.

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Answer:

There are 10 ghosts, 6 witches, and 4 scarecrows

Step-by-step explanation:

20 = ghosts, witches, and scarecrows.

ghost = x

20 = x + (x-4) + (x-4-2)

20 = 3x-10

30 = 3x

x = 10

10 = ghosts

10-4 = 6 = witches

10-4-2 = 4 = scarecrows

The number of witches and ghosts at the haunted house are 6 and 10 respectively.

Given that, a total of twenty ghosts, witches, and scarecrows at the haunted house.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of ghosts be x.

Here,

The number of witches is four less than the number of ghosts

Witches =x-4

The number of scarecrows is two less than the number of witches

Scarecrows =x-4-2

= x-6

Total=x+x-4+x-6

3x-10=20

⇒3x=30

⇒x=10

So, number of witches = 6 and number of scarecrows=4

Therefore, the number of witches and ghosts at the haunted house are 6 and 10 respectively.

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Answer:

  13. x = 52.8°

  14. 663.65 ft

  15. 30.7 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between sides of a right triangle and trig functions of the acute angles.

__

The sides adjacent and opposite the angle are marked. The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(x°) = 2.5/1.9

The angle is found using the inverse tangent function:

  x° = arctan(2.5/1.9) ≈ 52.8°

__

Again, the tangent relation comes into play. The given values are the side opposite and the angle, and we are asked for the side adjacent.

  Tan = Opposite/Adjacent

  tan(11°) = (129 ft)/(distance to shore)

  distance to shore = (129 ft)/tan(11°)

  distance to shore ≈ 663.65 ft

__

In this scenario, the given angle is opposite the given side of the triangle. The measure of the hypotenuse is needed.

  Sin = Opposite/Hypotenuse

  sin(71°) = (29 ft)/(ladder length) . . . . substitute given information

  ladder length = (29 ft)/sin(71°) . . . . . . solve for ladder length

  ladder length ≈ 30.7 ft

Answer:

39.66

Step-by-step explanation:

i think your asking how much his total is going to be you didnt put the whole question so I really dont know

From the graph, the athlete spent 2 hours biking (from hour 1 to hour 3)

And, the athlete spent 3 hours running (from hour 3 to hour 6)

Then, the athlete spent equal amounts of time biking and running is false

well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

The main answer is as follows: a) The value of y/or is 2, b) The value of y/o is -3.

a) To find y/or, we substitute x = 0 into the given expression for y(x, t). Thus, y/or = 1 + 2(0) - 3t = 1 - 3t.

b) To find y/o, we substitute t = 0 into the given expression for y(x, t). Therefore, y/o = 1 + 2x - 3(0) = 1 + 2x.

For the scenario with the two rods, the temperature on the left end of each rod is 0, and it increases linearly to 10°C at the right end of each rod. When the rods are placed end-to-end, we effectively have a 2-meter long rod with a discontinuous starting temperature.

The left end of the second rod touching the right end of the first rod creates a temperature jump or discontinuity in the system. The temperature distribution along the combined rod can be analyzed using appropriate mathematical techniques and boundary conditions.

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To calculate the monthly principal + interest payments for a house with a down payment and a mortgage using an Excel formula, you can use the PMT function. Here's how:

Calculate the loan amount by subtracting the down payment from the house cost. In this case, the down payment is 25% of $300,000, so it would be $75,000.
  Loan Amount = $300,000 - $75,000 = $225,000    

Determine the monthly interest rate by dividing the annual interest rate by 12. In this case, the annual interest rate is 2.75%, so the monthly interest rate would be 2.75% / 12 = 0.00229.

Determine the loan term in months. Since it's a 30-year mortgage, the loan term would be 30 * 12 = 360 months.

Use the PMT function in Excel to calculate the monthly principal + interest payment.
  Monthly Payment = -PMT(0.00229, 360, 225000)

The negative sign is used because the payment is an outgoing cash flow.

By using this formula in Excel, you can find the monthly principal + interest payments for your mortgage. Remember to adjust the interest rate, loan amount, and loan term if they differ from the example provided.

To calculate the monthly principal + interest payments using an Excel formula, you can use the PMT function by inputting the appropriate parameters: the monthly interest rate, loan term in months, and loan amount.

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Answer:

See below.

Step-by-step explanation:

a.

x = cost of adult ticket

y = cost of student ticket

cost of adult ticket is twice the cost of a student ticket

x = 2y

number of adult tickets = 64

number of student tickets = 132

cost of all adult tickets = 64x

cost of all student tickets = 132y

cost of all adult and student tickets combined: 64x + 132y

cost of all adult and student tickets combined: 1040

This gives us the equation:

64x + 132y = 1040

b.

Use substitution to solve the system of equations. Since x = 2y, where you see x in the second equation, substitute it with 2y.

64(2y) + 132y = 1040

128y + 132y = 1040

260y = 1040

y = 1040/260

y = 4

x = 2y = 2(4) = 8

adult ticket: $8

student ticket: $4

Answer:

The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.

Use this calculator to calculate the midpoint, the distance between 2 points, or find an endpoint given the midpoint and the other endpoint.

Step-by-step explanation:

Step-by-step explanation:

To simplify the expression 5√8 + √3, we can simplify each radical term separately and then combine them.

First, let's simplify the radical terms:

√8 can be simplified as 2√2 because 8 can be factored into 4 * 2, and √4 is equal to 2.

√3 cannot be simplified further since 3 is a prime number.

Now, let's substitute the simplified radical terms back into the expression:

5√8 + √3 becomes 5(2√2) + √3.

Next, we can multiply the coefficients outside the radicals:

5(2√2) is equal to 10√2.

Putting it all together, the simplified expression is:

10√2 + √3.

So, 5√8 + √3 simplifies to 10√2 + √3.

a) Integral from (2)^(6) e^x sin x dx as the limit of a Riemann Sum can be expressed as: lim(n->infinity) Sum(i=1 to n) e^(2+ i/n) sin(2+ i/n)(1/n)

b) The exact value of integral from (0)^(2) s x^2 dx can be found as 2/3 using the formula: sum_(i=1)^(n) i^2 = 1/6 n(n+1)

a) To express the given integral as the limit of a Riemann Sum, we need to divide the interval [2,6] into n sub-intervals of equal width. Then, we choose x_i^* as the right endpoint of each sub-interval, i.e., x_i^* = 2+ i/n. Thus, the Riemann Sum is given by:

Sum(i=1 to n) f(x_i^*) delta x = Sum(i=1 to n) e^(2+ i/n) sin(2+ i/n)(1/n)

Taking the limit as n approaches infinity, we get the desired integral.

b) To find the exact value of the given integral, we need to evaluate the Riemann Sum for n rectangles. For this, we divide the interval [0,2] into n sub-intervals of equal width. Then, we choose x_i^* as the right endpoint of each sub-interval, i.e., x_i^* = 2i/n. Thus, the Riemann Sum is given by:

Sum(i=1 to n) f(x_i^*) delta x = Sum(i=1 to n) (2i/n)^2 (2/n) = 4/3 Sum(i=1 to n) i^2 / n^3

Using the formula: sum_(i=1)^(n) i^2 = 1/6 n(n+1), we can simplify the Riemann Sum as:

4/3 Sum(i=1 to n) i^2 / n^3 = 4/3 * 1/6 * (n(n+1))^2 / n^3 = 2/3 (n+1)^2 / n^2

Taking the limit as n approaches infinity, we get the desired integral as 2/3.

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Answer:

Me two I'm dum lol I think it 2× 9=18 in to 0 go 0 times

The marginal rate of substitution (MRS) is a concept in economics that measures the rate at which a consumer is willing to exchange one good for another while keeping their utility constant.

For Phil's utility function U(x1​,x2​) = ln(x1​) + x2​, we can calculate the MRSx1​x2​​ by taking the partial derivative of the utility function with respect to x1​ and dividing it by the partial derivative with respect to x2​.

Differentiating the utility function, we get:

MUx1​ = 1/x1​ and MUx2​ = 1

Therefore, the MRSx1​x2​​ = -(1/x1​) / 1 = -1/x1​

This shows that Phil's MRSx1​x2​​ is solely determined by the quantity of x1​ and is independent of the specific combination of x1​ and x2​ on his indifference curves. It means that the rate at which Phil is willing to trade x1​ for x2​ remains constant along any given indifference curve, as long as the level of x1​ remains the same.

The interpretation of Phil's MRSx1​x2​​ is that it represents the diminishing marginal utility of x1​ relative to x2​. As x1​ decreases, the MRSx1​x2​​ becomes larger (more negative), indicating that Phil is willing to give up a larger amount of x1​ to obtain an additional unit of x2​. This implies that the importance or satisfaction derived from an extra unit of x2​ relative to x1​ increases as the quantity of x1​ decreases.

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Answer:

A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable

You can find the rate of change by using this formula:

\(m=(y_2 - y_1)/x_2 -x_1\)

That m would go into another formula known as slope-intercept form

The equation is

y = mx +b

m = rate of change (or) slope

b = y-int