True or False(2)(3)(7)=(3)(7)(2)
Group of answer choices

Mr. Tram will take 3 days and 9.12 hours based on the speed of 60 km/hr to reach Detroit from Dallas.

Distance covered in one day = speed × time

Keep the values in formula

Distance covered in one day = 60 × 8

Performing multiplication on Right Hand Side of the equation

Distance covered in one day = 480 kilometres

So, number of days to travel 480 kilometres = 1

Number of days to travel = 1620/480

Performing division on Right Hand Side of the equation

Number of days to travel = 3.38 days

Also, 1 day has 24 hours

So, 0.38 days will be = 24 × 0.38

Performing multiplication

0.38 days = 9.12 hours

Thus, total time taken is 3 days and 9.12 hours.

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Answer:

Step-by-step explanation:

It looks much harder than it really is

Let the first number = 25

Let the second number = x

25 * x = 133600            divide both sides by 25

25*x/25 = 133600/25

x = 5344

Make sure the answer really is 133600 because the comma (one) should go before the 6.

Answer:

Step-by-step explanation:

-2x²-4x+48

true:

a.

e.

h.

f.

The probability that the digit 7 doesn't appear among 100 digits is 9/10, or 90%.

The probability that the digit 7 doesn't appear among 100 digits where each digit is one of (0-9) and all sequences are equally likely is given by the probability that all 100 digits are chosen from the set {0, 1, 2, 3, 4, 5, 6, 8, 9}. There are 10 choices for each digit, so there are 10^100 possible sequences of 100 digits. The number of sequences that don't contain the digit 7 is 9^100. Therefore, the probability that the digit 7 doesn't appear among 100 digits is: P(7 doesn't appear) = (9^100) / (10^100) = 9 / 10

Therefore, the probability that the digit 7 doesn't appear among 100 digits is 9/10, or 90%.

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The solution to the given differential equation is y(t) = -1/2e^t + 2te^t + 1/2 + δ(t-2), where δ(t) is the Dirac delta function.

To solve the given differential equation, we will first find the complementary solution, which satisfies the homogeneous equation y'' - 2y' + 5y = 0. Then we will find the particular solution for the inhomogeneous equation y'' - 2y' + 5y = 1 + t + δ(t-2).

Step 1: Finding the complementary solution

The characteristic equation associated with the homogeneous equation is r^2 - 2r + 5 = 0. Solving this quadratic equation, we find two complex conjugate roots: r = 1 ± 2i.

The complementary solution is of the form y_c(t) = e^rt(Acos(2t) + Bsin(2t)), where A and B are constants to be determined using the initial conditions.

Applying the initial conditions y(0) = 0 and y'(0) = 4, we find:

y_c(0) = A = 0 (from y(0) = 0)

y'_c(0) = r(Acos(0) + Bsin(0)) + e^rt(-2Asin(0) + 2Bcos(0)) = 4 (from y'(0) = 4)

Simplifying the above equation, we get:

rA = 4

-2A + rB = 4

Using the values of r = 1 ± 2i, we can solve these equations to find A and B. Solving them, we find A = 0 and B = -2.

Thus, the complementary solution is y_c(t) = -2te^t sin(2t).

Step 2: Finding the particular solution

To find the particular solution, we consider the inhomogeneous term on the right-hand side of the differential equation: 1 + t + δ(t-2).

For the term 1 + t, we assume a particular solution of the form y_p(t) = At + B. Substituting this into the differential equation, we get:

2A - 2A + 5(At + B) = 1 + t

5At + 5B = 1 + t

Matching the coefficients on both sides, we have 5A = 0 and 5B = 1. Solving these equations, we find A = 0 and B = 1/5.

For the term δ(t-2), we assume a particular solution of the form y_p(t) = Ce^t, where C is a constant. Substituting this into the differential equation, we get:

2Ce^t - 2Ce^t + 5Ce^t = 0

The coefficient of e^t on the left-hand side is zero, so there is no contribution from this term.

Therefore, the particular solution is y_p(t) = At + B + δ(t-2). Plugging in the values we found earlier (A = 0, B = 1/5), we have y_p(t) = 1/5 + δ(t-2).

Step 3: Finding the general solution

The general solution is the sum of the complementary and particular solutions:

y(t) = y_c(t) + y_p(t)

y(t) = -2te^t sin(2t) + 1/5 + δ(t-2)

In summary, the solution to the given differential equation is y(t) = -1/2e^t + 2te^t + 1/2 + δ(t-2).

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Answer:

I dont know pls ask you parents...

Step-by-step explanation:

I dont know

you can only choose 4 unique ways Step-by-step explanation:

Answer:

in orange you cost 5.52

in apple you cost 3.9

Step-by-step explanation:

1 1/2=2×1+1=3

so multiplied the 3 in the price per pound

so in orange you got this solution

3×1.84=5.52

and in apple you got this solution

3×1.30=3.9

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For the given function F.(0, 1)^3 ➙ (0, 1)^3, where f(x) is obtained by replacing the last bit from x with 1, then  f(111) is (1,1,1).

Since here  the  function replaces the last bit  of the input with 1. so  for any input value x =(x1,x2,x3) ∈ (0,1)^3, here we have  f(x)= (x1,x2,1).For a particular case that is provided to us: where for x =(1,1,1), we have f(1,1,1) =(1,1,1).

Now since we are given the condition that since f replaces the last of 111 with 1, the last bit of 111 is already 1,  so the value of f(111) is (1,1,1).

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Answer:

1 7/9

Step-by-step explanation:

Convert the mixed numbers into impropr numbers & the multiply the first numbe rof the reciprocal of the second (switch the last numbers)

10/3 divided by 15/8

10/3 divided by 8/15

Answer: 80/45 or 1 7/9

Answer:

Step-by-step explanation:

V = w h l

V = 7.5 * 7.5 * 6

V = 337.5cubic feet * 0.05

V = 16.875Lbs

V = 17Lbs (Rounded to nearest pound)

Answer:

\(\sf Slope =\dfrac{-5}{3}\)

Step-by-step explanation:

Finding the slope:

   Pick two points from the graph.

  (-1,3) & (2 , -2)

  (-1 , 3) ⇒  x₁ = -1 & y₁ = 3

   (2 , -2) ⇒ x₂ = 2  & y₂ = -2

     \(\boxed{\bf Slope =\dfrac{y_2-y_1}{x_2-x_1}}\)

                 \(\sf = \dfrac{-2-3}{2-[-1]}\\\\\\=\dfrac{-5}{2+1}\\\\\\=\dfrac{-5}{3}\)

After scoring 77, 87, and 74 on her previous three tests, Amy needs to score 66 on her next test in order to have an average of 76.

To find the score that Amy needs on her next test to have an average of 76, we need to use the formula for the mean of a set of numbers:
Mean = (Sum of all numbers) / (Total number of numbers)

We know that Amy's current scores are 77, 87, and 74, and we want her average to be 76. Let's call the score she needs on her next test "x".
So, we can plug these values into the formula:
76 = (77 + 87 + 74 + x) / 4

Now, we just need to solve for x:
76 * 4 = 77 + 87 + 74 + x
304 = 238 + x
x = 304 - 238
x = 66

So, Amy needs to score a 66 on her next test in order to have an average of 76.

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Answer: 12

Step-by-step explanation:

220-40=180

180/15=12

Answer:

11 months

Step-by-step explanation:

220 -40=180

Since you have to pay $40 to join you have to add $15 to that $40 for the monthly fee.

220-40-15=156

^ This equals one month worth of the membership.

220-40-15-15-15-15-15-15-15-15-15-15-15=0

So add up all the 15s and you have the number of months Ty ´Lil can afford.

I hope this makes sense.

To solve this problem, we need to find the profit formula and then use the calculus concept to get the maximum value. the maximum profit P is $172.00. Hence, option A is the correct answer.

Profit formula: We know that the profit is the difference between revenue and cost.

P(x) = R(x) - C(x)

R(x) = xp

= 80-2x

We can calculate the revenue by multiplying the price p and quantity sold x.

So,

R(x) = xp

= (80-2x)x

= 80x - 2x²

Now, we can find the profit formula by substituting the value of R(x) and C(x) in the formula of P(x).

P(x) = R(x) - C(x)

P(x) = (80x - 2x²) - (10 + 44x)

P(x) = 80x - 2x² - 10 - 44x

P(x) = -2x² + 36x - 10

To find the maximum value of P(x), we will differentiate it w.r.t x and then equate it to zero to get the critical points.

P'(x) = -4x + 36

= 0

=> x = 9

The critical point is x= 9.

Now, we will check whether this point is maximum or minimum by checking the second derivative.

P''(x) = -4<0

This means the critical point is a maximum value of P(x).

So, to get the maximum profit, we need to calculate the value of P(9).

P(x) = -2x² + 36x - 10

P(9) = -2(9)² + 36(9) - 10

= $172.00

Therefore, the maximum profit P is $172.00. Hence, option A is the correct answer.

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A differential equation is a type of mathematical equation that connects the derivatives of an unknown function.

The differential equation is 1/2 y₁ = −6y₁ = -2y1 3y2.

The initial conditions are

y₁(0) = 5, y2(0) = 3.

The solution of the differential equation is: First we solve the differential equation for

y1:1/2 y₁ = −6y₁−2y1⇒

1/2y₁ + 6y₁ = 0+2y₁⇒

13/2 y₁ = 0⇒

y₁ = 0.

Therefore, y₁(x) = 0 is the solution to the differential equation. Now we solve the differential equation for

y2:3y2 = 0⇒

y2 = 0.

Therefore, y2(x) = 0 is the solution to the differential equation. The initial conditions are

y₁(0) = 5, y2(0) = 3.

So the solution to the differential equation subject to the initial conditions is

y₁(x) = 5 and

y2(x) = 3.

The functions y₁(x) and y2(x) (in that order) are:

y₁(x) = 5, y2(x) = 3.

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Answer:

7x + 13

Step-by-step explanation:

because the correct answer is 7x+13

The volume of water in the cone-shaped paper cup is 25.12 cubic centimeters.

To calculate the volume of water in the cone-shaped paper cup, we can use the formula for the volume of a cone:

V = (1/3) * π * r^2 * h

Given:

Height of water (h) = 6 cm

Diameter of the top surface of water (2r) = 4 cm

First, we need to find the radius (r) of the top surface of the water. Since the diameter is given as 4 cm, the radius is half of that:

r = 4 cm / 2 = 2 cm

Now we can substitute the values into the volume formula and calculate the volume of water:

V = (1/3) * 3.14 * (2 cm)^2 * 6 cm

V = (1/3) * 3.14 * 4 cm^2 * 6 cm

V = (1/3) * 3.14 * 24 cm^3

V = 25.12 cm^3.

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The given equation (4x² - y² - z² = 1) is classified under Hyperboloid of two sheets.

What is Hyperboloid equation?

When a hyperbola is rotated around one of its axes, an open surface is created that is known as a hyperboloid. The surface's general equation is written as (x²/ a²) + (y² / b²) - (z² / c²) = 1

if the surface's transverse axis is along the x axis, its centre is at the origin, and a, b, and c are its primary semi-axes.

As per question given that,

here is the equation of the quadratic surface is,

4x² - y² - z² = 1

Thus surface is a hyperboloid of two sheets.

The sketch of this quadratic surface is the sketch in the 2nd option which is shown below.

i.e. in the upper right corner.

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Answer:

Step-by-step explanation:

81.64

Answer: i took the test and the answer was

-5

Step-by-step explanation: Good luck!

Answer:

-5

Step-by-step explanation:

Hope I helped!

Answer:

the probability is 1/80

Step-by-step explanation:

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Answer:

the probability is 1/80

Step-by-step explanation:

Please give brainliest

The rate of growth of revenue when 420 units have been sold is R'(420) = R'(350)..

Revenue from selling x units = R(x). Also, sales are increasing at a rate of 70 per day. That means if x units are sold today, then tomorrow, the units sold would be (x + 70) units. Rate of increasing sales = 70 per day. Now, when 420 units have been sold:

Initial units sold = x = 420 - 70 = 350 units

Total units sold = 420 units

Number of units sold today = 420 - 350 = 70 units

Now, Revenue generated from 350 units of the item = R(350)

Revenue generated from 420 units of the item = R(420)

Rate of growth of revenue when 420 units have been sold = R'(420)\

From the definition of the derivative:

R'(x) = lim_ {h→0} {R(x+h) - R(x)}/{h}

R'(420) = lim_ {h→0} {R(420+h) - R(420)}/{h}

R(420) = R(350 + 70) = R(350) + R'(350) * (70)And, R(420 + h)

= R(350 + 70 + h) = R(350) + R'(350) * (70 + h), Using these equations,

R'(420) = lim_ {h→0} {R(350) + R'(350) * (70 + h) - R(350) - R'(350) * (70)}/{h}

= lim_ {h→0} {R'(350) * h}/{h}

= R'(350)

Thus, the rate of growth of revenue when 420 units have been sold is R'(420) = R'(350).

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(a) Revenue = (100 - x) * (200 + 4x)

(b) Graph the expression (100 - x) * (200 + 4x)

(c) Find the value of x that maximizes the revenue function

(d) Substitute the value of x into the revenue function to find the maximum revenue.

(a) The expression for the total revenue received for the flight can be found by multiplying the number of people flying (100 - x) by the price per ticket (200 + 4x):

Revenue = (100 - x) * (200 + 4x)

(b) The graph for the expression in part (a) can be plotted on a coordinate plane, with the number of unsold seats (x) on the x-axis and the total revenue on the y-axis.

(c) To find the number of unsold seats that will produce the maximum revenue, we can find the value of x that maximizes the revenue function. This can be done by taking the derivative of the revenue function with respect to x, setting it equal to zero, and solving for x.

(d) Once the value of x that maximizes the revenue is found, we can substitute it back into the revenue function to find the maximum revenue.

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The stationary distribution of the given Markov chain with a state space of {1, 2, 3} and transition probability matrix P = {{0.5, 0.4, 0.1}, {0.3, 0.4, 0.3}, {0.2, 0.3, 0.5}} can be calculated by finding the eigenvector corresponding to the eigenvalue 1.

To find the stationary distribution of a Markov chain, we need to solve the equation πP = π, where π is the stationary distribution and P is the transition probability matrix. Since the stationary distribution is a probability distribution, the sum of its elements should be equal to 1.

In this case, we have the transition probability matrix P as given. To find the stationary distribution, we need to find the eigenvector corresponding to the eigenvalue 1. This can be done by solving the equation (P - I)π = 0, where I is the identity matrix.

By subtracting the identity matrix from P and solving the system of linear equations, we can find the eigenvector. The resulting eigenvector will represent the stationary distribution.

Performing the calculations, we find that the stationary distribution π is approximately {0.2, 0.4, 0.4} or 20%, 40%, and 40% respectively for states 1, 2, and 3. This means that in the long run, the Markov chain is expected to spend approximately 20% of its time in state 1, 40% in state 2, and 40% in state 3.

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Answer:

The answer is 2

Step-by-step explanation:

The slope of Abha's climb is given by the equation

Slope m = 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be A

Now , let the point be P ( x , y )

And , the equation is given by

The horizontal distance covered by Abha x = 20 yards

The vertical distance covered by Abha y = 40 yards

Now , the slope of the point is given by the equation

Slope m = vertical distance covered by Abha  / horizontal distance covered by Abha

Substituting the values in the equation , we get

Slope m of Abha's climb = y/x

Slope m of Abha's climb = 40 / 20

Slope m of Abha's climb = 2

Therefore , the slope of the line is m = 2

Hence , The slope of Abha's climb is given by the equation Slope m = 2

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The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.

To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).

Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.

Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

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Answer:

a

Step-by-step explanation:

Answer: Problem 3:

The triangles are not similar. They have different angles.

Problem 4:

The triangles are similar by SSS~. A valid similarity statement is:

Triangle ABC ~ Triangle DEF.

Step-by-step explanation: