Mr. Tram was planning his trip from Dallas, TX to Detroit, MI. He knows that the total distance he needs to cover is 1620 km. He usually drives at a speed of 60 km per hour. If he is willing to drive up to 8 hours per day, how many days will this trip take?

By using Python, you will come up with your own challenging algorithm for other students to trace.

If a certain is true, the if/else expression triggers a sequence of instructions to run. Another piece of code may be run if the condition is false.

The if/else statement is a component of Python's "Conditional" Statements, which are used to carry out various operations based on various circumstances.

These conditional statements are available in Python:

If you want a block of code to run only if a certain condition is true, use the if statement.

If the same expression is false, use instead that to provide a set of instructions that should be run.

If the first expression is false, can use else if sentence to establish a comprehensive criterion to test.

To choose which of the several program code should be performed, use the switch.

How to write the code?

num = 100

if num < 20:

print('Less than 20')

if num < 30:

print('Less than 30')

if num < 40:

print('Less than 40')

if num < 50:

print('Less than 50')

if num > 100 or num == 100:

print('More than or equal to 100')

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Step-by-step explanation:

\(\\ \tt{:}\leadsto 3(x + 4.5) = 36 \\ \\ \tt{:}\leadsto 3x + 13.5 = 36 \\ \\ \tt{:}\leadsto 3x = 36 + 13.5 \\ \\ \tt{:}\leadsto 3x = 22.5 \\ \\ \tt{:}\leadsto x = \frac{22.5}{3} \\ \\ \tt{:}\leadsto x = 7.5\)

Answer:

4 and -3 i think

Step-by-step explanation:

the dot is on 4 and -3

Answer:

I think it is (4,-3)

Step-by-step explanation:

The solution is, 52 ft is the perimeter of the base of the pyramid.

Here, we have,

Given that:

We have an pyramid with square base.

Area of base of the square pyramid = 169

To find:

Perimeter of the base of pyramid = ?

Solution:

First of all, let us have a look at the formula of area of a square shape.

Area = side * side

Let the side be equal to  ft.

Putting the given values in the formula:

169 = a^2

so, a = 13 ft

Now, let us have a look at the formula for perimeter of square.

Perimeter of a square shape = 4  Side

Perimeter = 4 * 13 = 52ft

The solution is, 52 ft is the perimeter of the base of the pyramid.

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complete question:

A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid? A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?

Answer:

5&1

7&3

8&4

Step-by-step explanation:

The answer is c) 50%. A random sample means that each member has an equal chance of being selected. This means that out of a sample size of any number, the percentage of members selected will always be 50%.

For example, if we have a random sample of 100 members, 50 of them will be selected. This principle applies to any population size, regardless of whether it's 10 or 10,000. It's important to note that this applies only to random samples, as non-random samples can have a biased selection process which affects the percentage of members selected. In summary, the percent of members in a random sample that have an equal chance of being selected is always 50%.

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Answer:   B) 6

Explanation:

Segment BA is half as long as ZY, since BA is a midsegment.

This means ZY is twice as long as BA

ZY = 2*BA

2*BA = ZY

2*(x-1) = 10

2x-2 = 10

2x = 10+2

2x = 12

x = 12/2

x = 6

Note how this leads to BA = x-1 = 6-1 = 5, which is half as long as ZY = 10.

She earned a commission of $420.

How to calculate percentage of a number?

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

Given:

salesman earns 60% commission

Also ,he sold $700 worth of merchandise

Thus , we can say that If she earns 60% commission, that means she only earns 60% of all sales.

So if you take that 60% or (.60) you can multiply that 700 by .60, that equates to 420.

Hence, She earned a commission of $420.

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Answer:

8

Step-by-step explanation:

16 times 13 = 208

208 divid by 26 is 8

Answer:

8

Step-by-step explanation:

area = 16ft*13ft= 208ft^2

1 bag = 26 ft^2

208 ft^2/ 26ft^2 = 8 bags

brainliest please

Una caja de ahorros ofrece a sus clientes un interés simple del 8% anual por una imposición de 18.000 € durante 5 años. de los Interés es = 7,200 €

Interés = Principal × Tasa de interés × Tiempo

Dado que el principal es de 18.000 €, la tasa de interés es del 8% anual y el tiempo es de 5 años, podemos sustituir estos valores en la fórmula:

Interés = 18,000 € × 0.08 × 5

Interés = 7,200 €

Por lo tanto, el importe de los intereses generados en ese tiempo es de 7.200 €. Esto significa que al finalizar los 5 años, el cliente habrá obtenido 7.200 € adicionales como resultado de la imposición de 18.000 € con una tasa de interés del 8% anual. Es importante tener en cuenta que este cálculo se basa en la suposición de que el interés es simple y no se acumula ni se reinvierte.

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Answer:

a) 2>-3

b) 0>-4

Step-by-step explanation:

The way I was taught to remember this was, this < represents a crocodile, so whichever number is bigger, it eats that, which means it is facing the bigger number.

Hope this helps :)

Answer:

A. -3<2

B.-4<0

Hope this help

To find the area under the standard normal curve between z = -0.62 and z = 1.47, we need to use a standard normal distribution table or a calculator with a standard normal distribution function.

Using a standard normal distribution table, we can find the area to the left of z = -0.62 and z = 1.47, and then subtract the smaller area from the larger area to find the area between the two z-scores.

From the table, we find:

The area to the left of z = -0.62 is 0.2676

The area to the left of z = 1.47 is 0.9292

Therefore, the area between z = -0.62 and z = 1.47 is:

0.9292 - 0.2676 = 0.6616

Rounding this answer to four decimal places, we get:

Area between z = -0.62 and z = 1.47 ≈ 0.6616

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Answer:

Mistm Demeanor I think.. Hope this helps, tell me if it's incorrect!

Step-by-step explanation:

A police officer can not punish air pollution but can enforce laws and regulations to protect the environment.

Air pollution means the presence of harmful substances in the air that can cause harm to all living beings.

We have,

Air pollution is not a living being so it can not be punished by a police officer.

A police officer or government authorities can enforce laws and regulations to reduce air pollution to protect all living beings and the environment.

Some of the measures are:

- Setting emissions standards for automobile and related industries

- Promoting the use of clean energy resources.

- Encouraging individuals and entities to adopt sustainable practices

Thus,

A police officer can not punish air pollution but can enforce laws and regulations to protect the environment.

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Answer: To find the ratio of the dimensions of the actual room to that of the scale model, we can divide the dimensions of the actual room by the dimensions of the scale model.

The dimensions of the actual room are 15m by 9m by 12m, and the dimensions of the scale model are 5m by 3m by 4m.

Therefore, the ratio of the dimensions of the actual room to that of the scale model is:

length: 15m / 5m = 3 : 1

width: 9m / 3m = 3 : 1

height: 12m / 4m = 3 : 1

So, the ratio of the dimensions of the actual room to that of the scale model is 3:1 for all dimensions (length, width, and height)

The ratio of the dimensions of the scale model to that of the actual object is 1:16

so to find the length and width of the actual object, you can use this relation

length = scale model length * 16 = 2.416 = 38.4m

width = scale model width * 16 = 1.816 = 28.8m

So the length and width of the actual object are 38.4m and 28.8m respectively.

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

you cannot divide zero into two equal parts because there is nothing there to start.  Since Pablo has no candy, he cannot divide it into two piles because there isn't anything to divide.

Answer: No because 0 means nothing  and you can't divide nothing among something so  that is like undefined.

Step-by-step explanation:

Answer:

Answer is in the attached photo.

Step-by-step explanation:

The solution is in the attached photo, do take note for this question, we will have to make x the subject and solve for x.

Answer:

B

Step-by-step explanation:

4x+ (-2) =-2x+6

just took the quiz

Answer:

B) 4 x + (-2) = -2 x + 6

Step-by-step explanation:

Answer:

154*3-197 or 265

Step-by-step explanation:

154*3 = 462, 462-197=265.

Answer:

a couple

Step-by-step explanation:

18

A parameterization for the line L can be obtained by finding a direction vector perpendicular to the plane Π and using it to generate points on the line that pass through P0=(1,2,3).

To find a direction vector perpendicular to the plane Π, we can consider the coefficients of x, y, and z in the plane equation: 4x - 5y + 7z = 60. Let's denote this direction vector as d = (a, b, c). Since the line L is perpendicular to the plane, the dot product of the direction vector and the normal vector of the plane should be zero. The normal vector of the plane is given by N = (4, -5, 7). Therefore, we have a*4 + b*(-5) + c*7 = 0. This equation provides a relationship between the components of the direction vector.

Now, we can choose arbitrary values for two components of the direction vector, say a and b, and solve for the third component, c. Let's set a = 5 and b = 4. Substituting these values into the equation, we get 5*4 + 4*(-5) + c*7 = 0. Solving this equation gives c = -12. Hence, the direction vector d is (5, 4, -12).

Using the direction vector, we can parameterize the line L using the point P0=(1,2,3) and a parameter t as follows:

L(t) = P0 + t * d

      = (1,2,3) + t * (5, 4, -12)

      = (1 + 5t, 2 + 4t, 3 - 12t).

This parameterization gives us the equation of the line L that passes through the point P0 and is perpendicular to the plane Π: L(t) = (1 + 5t, 2 + 4t, 3 - 12t). By varying the parameter t, we can obtain different points on the line L.

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Answer:

1/5 is 20% which means that it's greater than 19%

Step-by-step explanation:

Hope this helped :)

Answer:

Step-by-step explanation:

We know that the straight line are supplementary angles(180°).

∠A + ∠B = 180°                          ................ (1)

According to given conditions,

∠A = 4(∠B + 17.5°)

∠A = 4∠B + 70°

∠A - 4∠B = 70°                    ............ (2)

Subtract the Equation (1) from (2) we get .

5∠B = 110

∠B = 22°                   .............. (Divide both side by 5)

Put the vatue of ∠B in equation (1)

∠A + 22° = 180°

∠A = 158°

Answer:

8

Step-by-step explanation:

First, let's find the derivative of the equation.

According to one of the rules of derivatives, d/dx tan(x) = sec²(x)

We also don't mess with the 2 since it's a constant

f'(x) = 2sec²(x)

Now just plug in 2π/3

2sec²(2π/3) = 8

Instantaneous rate of change is 8 at x = 2π/3

The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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The utility function u(x) = 0.25**(x/200) is consistent with Pablo's preferences.

To determine which utility function, represented by u(x), is consistent with Pablo's preferences, we need to compare the utility values for different prospects.

Pablo's certain equivalent for a deal with a 0.8 chance at $500 and a 0.2 chance at $100 is $300. We can calculate the expected value of this prospect:

Expected value = (0.8 * $500) + (0.2 * $100) = $400 + $20 = $420

Now let's evaluate the utility values for the given utility functions and compare them to $300 and $420.

a) u(x) = 10 - 10x^4 - x/200

If we substitute x = $420 into this utility function, we get:

u($420) = 10 - 10($420)^4 - $420/200 ≈ -1.06 x 10^18

b) u(x) = 1 - 0.25 - x/200

If we substitute x = $420 into this utility function, we get:

u($420) = 1 - 0.25 - $420/200 = 1 - 0.25 - 2.1 ≈ -1.35

c) u(x) = 5 - 2x^4 + x/300

If we substitute x = $420 into this utility function, e get:

u($420) = 5 - 2($420)^4 + $420/300 ≈ -1.59 x 10^16

d) u(x) = 0.25**(x/200)

If we substitute x = $420 into this utility function, we get:

u($420) = 0.25**(420/200) ≈ 0.063

Comparing the utility values to Pablo's certain equivalent ($300) and the expected value ($420), we find that option d) u(x) = 0.25**(x/200) is consistent with Pablo's preferences, as it yields a utility value (0.063) closer to the expected value than the others.

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The rate at which the height of water tank changing is \(0.4244 \; \text {ft./hr}\)

Step-by-step explanation:

Given information:

\(\text{\bold{The diameter of cone}}=10\;\rm{ ft.}\)

\(\rm{The\; height\; of\; the\; cone}= 15\;\rm{ ft.}\)

\(\text{The rate at which the water is leaking }= 12 \; \rm ft^3/hr.\)

\(\text{Volume of water tank}=27 . \pi \; \rm ft^3\)

Now,

If ,we take a right circular cone with radius r and height h , its volume

\(\text{volume (V)} = (1/3) \times \pi \times \rm{r^3 \times h\)

Now, the radius of cone when the volume of water tank is given

\(\frac{1}{3}\times \pi \rm\times{r^2 \times h = 27 \times \pi\)

The ratio of height to radius of the cone :

\(\text {h/r} =3\)

\(\text r = \text h/3\)

Now calculate :

\(dV/dt= dV/dh \times dh/dt\)

Which gives:

\(12 = \frac{d(\text h^3/27 \pi)}{dh} \times \frac{d\text h}{dt} \\\\\frac{d\text h}{dt} = \frac{12}{\pi \text h^2/9}\)

As ,

\(27=\frac{1}{27 \times h}\)

\(\text h^3=27^2\\\text h= 9\\\)

Now,

\(dh/dt=12/(\pi.\text h^2/9)\\dh/dt=4/3\pi\\dh/dt=0.4244\\\)

Hence, The rate at which the height of water tank changing is \(0.4244 \; \text {ft./hr}\)

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First plot the points that you are given. If a point is below the x-axis, then it is considered negative.

I hope this helps. I’m not sure what points you are given.

Answer:

\(a)\ 5.06 * 10\³\)

\(b)\ 6.079 * 10^6\)

\(c)\ 3\ crore = 30\ million\)

\(d)\ 999999\)

\(e)\ 10478\)

\(f)\ 78\)

\(g)\ 2730\)

Step-by-step explanation:

Solving (a): 5060 as a power of 10

We simply move the decimal between 5 and 6. The number of zeros to move backward is 4.

So,

\(5 0 6 0 = 5.06 * 10^3\)

Solving (b): 6079000 as a power of 10

We simply move the decimal between 6 and 0. The number of zeros to move backward is 4.

So,

\(6079000 = 6.079 * 10^6\)

Solving (c): 3 crore to millions

\(1\ crore = 10\ million\)

Multiply by 3

\(3\ crore = 30\ million\)

Solving (d): The greatest 6 digits

The greatest unit digit is 9. So, we simply write out 9 in 6 places

\(Greatest= 99999\)

Solving (e): The least 5-digit formed from 4,1,8,0,7

To do this, we start the number from the smallest non-zero digit.

The remaining 4 digits will then be in an increasing order

So, we have:

\(Least = 10478\)

Solving (f):

\(18 - 7 + 9 * \frac{48}{6} - 5\)

Using BODMAS

Evaluate the division, first

\(18 - 7 + 9 * 8 - 5\)

Then multiplication

\(18 - 7 + 72 - 5\)

Add up the remaining digits

\(78\)

Solving (g): This question is not clear.

I will assume the expression is:

\(\frac{72}{ 12}* [ \frac{180}{4}*{10 +(15 - \frac{45}{9}*2)}]\)

Evaluate all divisions

\(6* [ 45*{10 +(15 - 5*2)}]\)

Solve the multiplication in brackets

\(6* [ 45*{10 +(15 - 10)}]\)

Remove the inner bracket

\(6* [ 45*{10 +5}]\)

Evaluate 45 * 10

\(6* [ 450 +5}]\)

Remove the bracket

\(6* 455\)

Multiply

\(2730\)