I’m struggling please help me

It takes a train going 50 mph approximately 11/2 miles to stop safely.

The distance a train takes to come to a stop can be determined by several factors, including the speed of the train, the weight of the train, the condition of the brakes and the track, and the reaction time of the engineer.

In general, a train going 50 mph will take about 1 1/2 miles or 8,000 feet to stop safely. This is because a train moving at 50 mph is traveling at about 75 feet per second, and it takes a significant distance to slow down a heavy object moving at such a high speed. It's important to note that this is an estimation, and the actual stopping distance may vary depending on the specific conditions.

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The time of the day when two vehicles will leave park at same time is 11:20 a.m.

Traffic can be controlled by adjust the departure times, use a reservation system, limit the number of vehicles , and promote carpooling.

To create the departure timetable,

Start by listing the times at which the first bus and minibus will leave the park.

From there, add 40 and 50 minutes respectively to each departure time to find the next departure time for each vehicle.

Here is the timetable,

Departure time                Bus interval         Minibus interval

8.00 a.m.                               40min               50min

8.40 a.m.                               40min               50min

9.20 a.m.                               40min               50min

10.00 a.m.                               40min               50min

10.40 a.m.                               40min               50min

11.20 a.m.                               40min               50min

12.00 p.m.                               40min               50min

12.40 p.m.                               40min               50min

1.20 p.m.                               40min               50min

2.00 p.m.                               40min               50min

2.40 p.m.                               40min               50min

3.20 p.m.                               40min               50min

4.00 p.m.                               40min               50min

4.40 p.m.                               40min               50min

To identify any time of the day when the two vehicles will leave the park at the same time.

When the time of the intervals of the two vehicles overlap.

The least common multiple LCM of 40 and 50 is 200.

The two vehicles will leave the park at the same time every 200 minutes, or 3 hours and 20 minutes.

The first time this happens is at,

8:00am + 200 mins = 11:20am

So, at 11:20am both vehicles will leave the park at the same time.

To control traffic jam the park manager can consider the following strategies,

Adjust the departure times,

If the departure times are causing congestion,

The manager can adjust the intervals or the departure times to spread out the flow of vehicles.

Use a reservation system,

The manager can use a reservation system to stagger the departure times of the vehicles.

Ensuring that there are no backlogs at the loading area.

Limit the number of vehicles,

The manager can limit the number of vehicles that are allowed in the park at any given time.

To reduce the number of vehicles on the road and prevent congestion.

Promote carpooling,

The manager can encourage visitors to carpool to the park to reduce the number of vehicles on the road.

This can be done through promotional campaigns or by offering incentives for carpooling.

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Answer: A

Step-by-step explanation:

We must calculate the mean and compare each score to find the score closest to the standard of the four scores (79, 84, 81, and 73).

Mean = (79 + 84 + 81 + 73) / 4 = 317 / 4 = 79.25

Now, let's compare each score to the mean:

Distance from the standard for 79: |79 - 79.25| = 0.25

Distance from the standard for 84: |84 - 79.25| = 4.75

Distance from the standard for 81: |81 - 79.25| = 1.75

Distance from the standard for 73: |73 - 79.25| = 6.25

The score with the smallest distance from the average is 79, closest to the standard.

Therefore, the correct answer is:

A) 79

Answer:

x = 4

Step-by-step explanation:

2x+2=10

2x= 10-2

2x=8

x=8/2

x= 4

Answer:

X > 4

Step-by-step explanation:

2x + 2 > 10

subtract 2 from both sides

2x > 10 - 2

subtract 2 from 10 to get 8

2x > 8

divide both sides by 2

x > 8/2

divide 8 by 2 to get 4

x > 4

hope this helps!

Answer:

Its B

Step-by-step explanation:

Solving the pair of equations using the elimination method, the value of x and y are 9 and 3 respectively.

To create an equation in one variable using the elimination approach, you can either add or subtract the equations.

To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are inequality.

So, we have the equations:

-2x -2y = -24 ...(1)

-3x-2y = -33 ...(2)

Now, solve using the elimination method as follows:

-2x -2y = -24

-3x-2y = -33

Then,

-2x -2y = -24

-(-3x-2y = -33)

Then,

-2x -2y = -24

3x+2y = 9

We get:

x = 9

Now, substitute x = 9 in equation (1):

-2(9) -2y = 24

-18 -2y = -24

-2y = -24+18

-2y = -6

y = 3

Therefore, solving the pair of equations using the elimination method, the value of x and y are 9 and 3 respectively.

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Correct question:

Solve using the elimination method:

-2x -2y = 24

-3x-2y = -33

Proof involving indirect reasoning. Also called proof by contradiction or inDirect proof.

Proof by indirect reasoning, also known as proof by contradiction or indirect proof, is a method of proving a statement by assuming its negation and showing that it leads to a contradiction. This approach can be helpful when a direct proof is difficult to construct or when the statement to be proved is complex.

The basic idea of proof by contradiction is to assume that the statement to be proved is false and then show that this assumption leads to a logical contradiction. If a contradiction is obtained, then the original assumption must be false, and the statement is therefore true.

In contrast, direct reasoning, or direct proof, involves starting with the given information and using logical reasoning to arrive at the conclusion. This method can be more straightforward and easier to follow than proof by contradiction.

Indirect reasoning can be a powerful tool for proving mathematical theorems and solving problems in other fields. It requires careful analysis of assumptions and logical relationships, but can lead to elegant and insightful solutions.

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2/3 + 1/4 = 11/12

Fractions are very important in many areas such as math, physics, engineering, chemistry and many more, understanding how to add fractions with unlike denominators is a fundamental skill that will help you in many aspects of your life.

Adding fractions with unlike denominators can be a bit tricky, but with the right understanding and techniques, it's definitely doable.

When we add fractions with unlike denominators, we need to first find a common denominator. A common denominator is a number that is a multiple of both denominators. Once we have a common denominator, we can add the fractions as usual by adding the numerators and keeping the denominator the same.

Here are a few examples of adding fractions with unlike denominators:

2/3 + 1/4

We can find a common denominator by finding the least common multiple (LCM) of 3 and 4. The LCM of 3 and 4 is 12.

So, we can convert 2/3 to 8/12 by multiplying the numerator and denominator by 4.

We can convert 1/4 to 3/12 by multiplying the numerator and denominator by 3.

Now we can add the fractions by adding the numerators: 8/12 + 3/12 =

1/5 + 2/7

We can find a common denominator by finding the least common multiple (LCM) of 5 and 7. The LCM of 5 and 7 is 35.

So, we can convert 1/5 to 7/35 by multiplying the numerator and denominator by 7.

We can convert 2/7 to 10/35 by multiplying the numerator and denominator by 5.

So, we can convert 3/4 to 9/12 by multiplying the numerator and denominator by 3.

We can convert 1/3 to 4/12 by multiplying the numerator and denominator by 4.

Now we can add the fractions by adding the numerators: 9/12 + 4/12 = 13/12

So, 3/4 + 1/3 = 13/12

It's important to note that when adding fractions, it's also important to simplify the final result if possible.

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a) the volume of the solid is 2π(π + √3).

(a) To find the volume of the solid, we need to integrate the area of each cross-section from phi = 0 to phi = pi/3. The area of each cross-section is a circle with radius r = 4 cos(phi) (from the equation of the sphere), minus the area of the base of the cone, which is a circle with radius r = 2 cot(phi) (from the equation of the cone). Therefore, the volume is given by:

V = ∫[0,π/3] (π(4cos(φ))^2 - π(2cot(φ))^2) dφ

V = ∫[0,π/3] 12πcos^2(φ) dφ

V = 12π∫[0,π/3] (cos^2(φ)) dφ

V = 12π∫[0,π/3] (1/2)(1 + cos(2φ)) dφ

V = 6π[φ + (1/2)sin(2φ)] [0,π/3]

V = 6π(π/3 + (1/2)sin(2π/3))

V = 2π(π + √3)

(b) To find the centroid of the solid, we need to find the center of mass of each cross-section, and then integrate the product of the center of mass and the area of each cross-section. The center of mass of each cross-section is at a distance of 3/4 from the center of the sphere, and the area of each cross-section is given by the formula used in part (a). Therefore, the coordinates of the centroid are:

x = (1/V)∫[0,π/3] [(3/4)(4cos(φ)))(π(4cos(φ))^2 - π(2cot(φ))^2] dφ

x = (1/V)∫[0,π/3] (48πcos^3(φ) - 16πcos(φ)cot^2(φ)) dφ

x = (3/2)[1 - (3/4)(π/3)]

x = 9/(8π)

y = (1/V)∫[0,π/3] 0 dφ

y = 0

z = (1/V)∫[0,π/3] [(3/4)(4cos(φ))(π(4cos(φ))^2 - π(2cot(φ))^2)] dφ

z = (1/V)∫[0,π/3] (12πcos^3(φ) - 4πcos(φ)cot^2(φ)) dφ

z = (1/2)[(8/5)(π/3) - (4/3)]

z = 8/(15π)

the centroid of the solid is (9/(8π), 0, 8/(15π)).

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Answer:

y=4x+4

Step-by-step explanation:

using y=mx+b, y is y since we are writing a function. 4 would be the slope, as that is added per minute, so that takes the place of m, and x stays the same, which leaves b, the y intercept, to be 4. this is because the barrel already had 4 gallons inside before.

There is not enough evidence to suggest that the percentage of students who smoke has changed over the last five years at a 5% level of significance.

To test whether there is a significant change in the percentage of students who smoke in the university, we can use a hypothesis test with the following hypotheses:

Null hypothesis (H0): The percentage of students who smoke has not changed over the last five years (p = 0.18).

Alternative hypothesis (Ha): The percentage of students who smoke has changed over the last five years (p ≠ 0.18).

We will use a two-tailed test with a significance level of 0.05. Using the sample data, we can calculate the sample proportion of smokers as 40/200 = 0.20.

Next, we can use the z-test statistic to calculate the p-value, which is the probability of observing a sample proportion as extreme as 0.20 or more extreme, assuming the null hypothesis is true. The z-test statistic is given by:

z = (p' - p) / √[p(1-p)/n]

where p' is the sample proportion, p is the hypothesized proportion under the null hypothesis, and n is the sample size.

Substituting the values, we get:

z = (0.20 - 0.18) / √[(0.18)(0.82)/200] = 1.13

Looking up the z-score in the standard normal table, we find that the corresponding two-tailed p-value is approximately 0.26.

Since the p-value (0.26) is greater than the significance level (0.05), we fail to reject the null hypothesis.

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The unit price that is going to be needed for the 31 minute ride would be 21.4 dollars.

We have the fare for 81 minutes to be $56. 70

Then we are to find the amount that would be needed for 31 minutes.

In order to get this value we would have to cross multiply

such that we would have

81 minutes = $56.70

31 minutes = ?

then 56 * 31 = 1736

1736 / 81

= 21.4 dollars.

Hence we would conclude that the unit price that is going to be needed for the 31 minute ride would be 21.4 dollars.

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Answer:

(x+8)

Step-by-step explanation:

Answer:

x2 + 8x + 12

Step-by-step explanation:

(x + 2) (x + 6) = x (x + 6) + 2 (x + 6)

= x * x + 6x + 2 (x + 6)

= x2 + 6x + 2 (x + 6)

= x2 + 6x + 2x + 2 * 6

= x2 +6x + 2x + 12

= x2 + 8x + 12

The mode is best to use as a measure of center when the data consists of discrete proportions.

The mode is best to use as a measure of center when the data consists of discrete proportions, such as if the data is categorical in nature.

If a set of numbers has a standard deviation of zero, it means that all of the numbers are the same. This can be interpreted from a class grade standpoint as all of the students in the class got the same score.

The median is less affected by skewed data than the mean because the median is found by sorting the data points and choosing approximately the middle value, whereas the mean is found by adding all of the data together and dividing by the number of data points.

Most data is likely to be skewed, as there are usually outliers that cause the bulk of the data to be located toward one end of the distribution. This means that the mean and median values will be pulled away from each other, resulting in a skewed distribution.

Hence, the mode is best to use as a measure of center when the data consists of discrete proportions.

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Answer:

30

Step-by-step explanation:

15cm for 5

5 x 2=10

15 x 2 = 30

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

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Answer: 225°

Step-by-step explanation:

To convert radians to degrees, multiply by 180/π (1 rad = 180° )

(5π/4) * (180/π/) = 225°

Answer:

$87.50

Step-by-step explanation:

If they split the money 1:7 this means they divided it into 8 portions. (Because 7+1=8). So do $100/8=12.5.

(You never specified who got 1 portion and who got 7, so I will assume Alex got the 7)

Let's say Jill got the 1 portion, she gets $12.50.

Let's say Alex got the 7 portion, he got $12.50 x 7 = $87.50

The amount Alex got is £12.5.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

Alex and Jill share £100 in a ratio of 1:7.

Total ratio = 8x

So,

Alex = 1x

Amount = 1x/8x x 100 = £12.5

Jill = 7x

Amount = 7x/8x x 100 = £87.5

Thus,

Alex got £12.5.

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To find the relationship between altitude and boiling point of water, we can use a linear equation of the form T = mx + b, where T represents the boiling point in degrees Fahrenheit, and x represents the altitude in thousands of feet.

(a) To find the equation T = mx + b, we need to determine the values of m and b. We are given two data points: (0, 212) for sea level and (10, 193.6) for an altitude of 10,000 feet. We can set up two equations using these data points:

Equation 1: 212 = m(0) + b (for sea level)

Equation 2: 193.6 = m(10) + b (for an altitude of 10,000 feet)

Simplifying Equation 1, we have 212 = b. Substituting this value into Equation 2, we get 193.6 = 10m + 212. Solving for m, we find m = -1.86. Therefore, the equation relating altitude (x) and boiling point (T) is T = -1.86x + 212.

(b) To find the boiling point at an altitude of 4,200 feet, we substitute x = 4.2 into the equation: T = -1.86(4.2) + 212. Calculating this, we find T ≈ 203.52°F.

(c) To find the altitude when the boiling point is 196°F, we set T = 196 in the equation and solve for x. 196 = -1.86x + 212. Simplifying, we find x ≈ 8.6 thousand feet.

(d) By graphing the equation T = -1.86x + 212, we can visually represent the relationship between altitude and boiling point. We plot the points (0, 212), (10, 193.6), (4.2, 203.52), and (8.6, 196) on the graph to illustrate the boiling point at an altitude of 4,200 feet and the altitude corresponding to a boiling point of 196°F.

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Answer:

300 x .05= 15

..............

Answer:

i don't know but i try

Step-by-step explanation:

The slope-intercept form of the equation is y = - mx + b.

The equation of a line can be expressed in a variety of ways. Although they may differ in appearance, all of them describe the same line because multiple equations can describe the same line. However, all linear equations describing the same line are equivalent.

The formula y = mx + b can be used to represent any straight line. Any straight line equation, known as a linear equation, can be expressed as y = mx + b, where m denotes the line's slope and b its y-intercept. The value of y at the line's intersection with the y-axis is its y-intercept.

Given a graph of the equation, choose two points on the line and use them to calculate the slope in order to put the equation in slope-intercept form. This is the answer to the equation's question. Next, determine the y-coordinates, intercept's which should be of the type (0,b). The value in the equation is the y-coordinate.

Thus, the equation derived from the graph is as follows:

Since we are aware that the slope here is negative,

Therefore Our formula is y = -mx + b.

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Answer:

57

Step-by-step explanation:

Straight line value=180

Given Value=123

Value of ∆TKL

=180-123

=57(Ans)

Answer:

57

Step-by-step explanation:

Answer:

X=4rad3

Y=4

Step-by-step explanation:

f(x): Horizontal asymptote: y = 0.8x

Y-intercept: (0, 0)

h(x): Horizontal asymptote: y = 0.8x

Y-intercept: (0, -10)

For the function f(x) = 0.8x:

Horizontal asymptote: Since the coefficient of x is 0.8, the function approaches y = 0.8x as x approaches positive or negative infinity. So, the horizontal asymptote is y = 0.8x.

Y-intercept: To find the y-intercept, we set x = 0 in the equation f(x) = 0.8x:

f(0) = 0.8(0) = 0

Therefore, the y-intercept is (0, 0).

For the function h(x) = 0.8x - 10:

Horizontal asymptote: Similar to the previous function, the coefficient of x is 0.8. Hence, the horizontal asymptote is y = 0.8x.

Y-intercept: We can find the y-intercept by setting x = 0 in the equation h(x) = 0.8x - 10:

h(0) = 0.8(0) - 10 = -10

Therefore, the y-intercept is (0, -10).

To summarize:

f(x): Horizontal asymptote: y = 0.8x

Y-intercept: (0, 0)

h(x): Horizontal asymptote: y = 0.8x

Y-intercept: (0, -10)

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Answer:

HOI

Step-by-step explanation:

The height of the cylinder is \(3 inch\)

Based on the attached figure,

Volume of the cylinder = 282.7 square inches

Radius of the cylinder =5 inches.

The height of the cylinder = ?

The volume of the cylinder  can be found with the formula as :

\(V=pi r^{2} h\)

\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)

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Answer:

The market equilibrium price is approximately $36.43 per barrel.

Step-by-step explanation:

To find the market equilibrium price, we need to set the quantity supplied (QS) equal to the quantity demanded (QD) and solve for the price (P).

Given:

QS = -250 + 7P

QD = 260 - 7P

Setting QS equal to QD:

-250 + 7P = 260 - 7P

Now, let's solve for P:

Add 7P to both sides:

-250 + 7P + 7P = 260 - 7P + 7P

Combine like terms:

14P - 250 = 260

Add 250 to both sides:

14P - 250 + 250 = 260 + 250

Simplify:

14P = 510

Divide both sides by 14:

14P/14 = 510/14

Simplify:

P = 36.43

The market equilibrium price can be found by setting the quantity supplied (QS) equal to the quantity demanded (QD) and solving for the price (P) that satisfies this condition.

In the given scenario, the supply function is QS = -250 + 7P, and the demand function is QD = 260 - 7P. To find the equilibrium price, we set QS equal to QD:

-250 + 7P = 260 - 7P

Simplifying the equation, we get:

14P = 510

Dividing both sides by 14, we find:

P = 36.43

Therefore, the market equilibrium price is approximately $36.43 per barrel. At this price, the quantity supplied and quantity demanded will be equal, resulting in a state of equilibrium in the perfectly competitive domestic crude oil market.

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