the velocity of a moving vehicle is given by the expression V=mu+at express in terms of U​

Answer:

Step-by-step explanation:

First calculate total surface area:

l = 6     h = 4   w = 2

2(lw + lh + wh)

2(6·2 + 6 · 4 + 2 · 4)

2 ( 12 + 24 + 8)

2 (44)

88 ft²

Divide the total area by the square feet the spray paint can covers.

88 ft² ÷ 22 ft² = 4 cans of spray paint

The coordinates (4, 3) is not a solution of any equation of straight lines.

We know that the two points equation of the line passing through points (a, b) and (c, d) is:

(y - b)/(x - a) = (b - d)/(a - c)

For Line A:

Line A passes through (-3, 4) and (9, -2) so the equation of the line is,

(y - 4)/(x - (-3)) = (4 - (-2))/(-3 - 9)

(y - 4)/(x + 3) = 6/(-12)

(y - 4)/(x + 3) = -1/2

2y - 8 = -x - 3

x + 2y = 8 - 3

x + 2y = 5 ............... (i)

For Line B:

Line B passes through (2, 8) and (8, -8) so the equation of the line is,

(y - 8)/(x - 2) = (8 - (-8))/(2 - 8)

(y - 8)/(x - 2) = 16/(-6)

(y - 8)/(x - 2) = -8/3

3y - 24 = 16 - 8x

8x + 3y = 24 + 16

8x +3y = 40 ............................ (ii)

For Line C:

Line C passes through (-3, -4) and (4, 6) so the equation of the line is,

(y - (-4))/(x - (-3)) = (-4 - 6)/(-3 - 4)

(y + 4)/(x + 3) = (-10)/(-7)

(y + 4)/(x +3) = 10/7

7y + 28 = 10x + 30

7y - 10x = 30 - 28

7y - 2x = 2 ................. (iii)

For Line D:

Line D passes through (2, -2) and (5, 6) so the equation of the line is,

(y - (-2))/(x - 2) = (-2 - 6)/(2 - 5)

(y + 2)/(x - 2) = (-8)/(-3)

(y + 2)/(x - 2) = 8/3

3y + 6 = 8x - 16

8x - 3y = 16 - 6

8x - 3y = 10

The given point is (4, 3):

For equation (i): 4 + 2*3 = 4 + 6 = 10 ≠ 5

For equation (ii): 8*4 + 3*3 = 24 + 9 = 33 ≠ 40

For equation (iii): 7*3 - 2*4 = 21 - 8 = 13 ≠ 2

For equation (iv): 8*4 - 3*3 = 32 - 9 = 24 ≠ 10

Hence it does not satisfy either equations or lines.

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The mathematical expectation of the number of games played in this series is 4 games.

The mathematical expectation of the number of games in a series where the first team to win 4 games is declared the winner can be calculated using probability theory. Each game has a 50% chance of being won by either team, assuming the teams are evenly matched. Therefore, the probability of one team winning the series in exactly 4 games is (1/2)^4 or 1/16. The probability of one team winning the series in exactly 5 games is the probability of losing the first game and then winning the next four games or winning the first game and then winning three of the next four games. This can be calculated as (1/2)^5 * (4 choose 1) + (1/2)^5 * (4 choose 3) or 5/16. Similarly, the probabilities of one team winning the series in exactly 6, 7 or 8 games can be calculated as 10/32, 10/64 and 5/256 respectively. Therefore, the mathematical expectation of the number of games is the sum of the products of the number of games and their corresponding probabilities. This is (4*1/16) + (5*5/16) + (6*10/32) + (7*10/64) + (8*5/256) which simplifies to 33/8 or approximately 4.125 games.
The situation you described is a classic example of a negative binomial distribution. In this case, the winner of the series will be the first team to win 4 games. To find the mathematical expectation (mean) of the number of games played, we can use the formula for the negative binomial mean:

Mean = (r * (1-p))/p

Where "r" is the number of successes (4 wins) and "p" is the probability of success (0.5, since the teams are evenly matched).

Mean = (4 * (1-0.5))/0.5 = (4 * 0.5)/0.5 = 4

So, the mathematical expectation of the number of games played in this series is 4 games.

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The required answer of the word problem is the machine requires 0.051 hours to make 612000 aluminum cans.

The given question is a word problem which can be calculated as,

A machine working at a constant rate makes 3313 aluminium cans in one second.

Therefore, one aluminum can be produced in = 1/ 3313 seconds.

The machine makes 612000 aluminum cans.

Thus, 612000 aluminum cans can be produced in = (612000)*(1/3313) seconds = 184.7268336855 seconds

= 184. 72 seconds (approximately up to two decimal places)

We can convert the value in seconds to hours of the  given  problem as,

There are 3600 seconds in one hour.

That is, one second = 1/3600 hours.

Thus, the machine makes 612000 cans in = (184.72)*(1/3600) hours

= 0.0513111111 hours

= 0.051 hours ( approximately up to three decimal places)

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From the tally chart and line plot, it can be concluded that the most common number of books read by Hannah and her classmates last month was 2, and the median number of books read was 1.5.

Number is a mathematical object used to count, measure and label. It is a symbol or set of symbols used to represent a numerical quantity. It can also be used to represent a quantity in an equation or other mathematical expression. Numbers can be written using different number systems, such as the decimal system, the binary system and the hexadecimal system. They are also related to arithmetic operations such as addition, subtraction, multiplication, division and exponentiation.

Tally Chart:

Books Read: 0 |  |
Books Read: 1 |  |  |  |
Books Read: 2 |  |  |  |  |  |
Books Read: 3 |  |  |  |  |  |  |  |
Books Read: 4 |  |  |  |  |  |  |

Line Plot:

0 |  |
1 |  |  |  |
2 |  |  |  |  |  |
3 |  |  |  |  |  |  |  |
4 |  |  |  |  |  |  |

The line plot shows that the most common number of books read by Hannah and her classmates was 2. The least common number of books read was 0, with only 1 student reading 0 books. The next least common number of books read was 1, with 4 students reading 1 book. The third most common number of books read was 3, with 5 students reading 3 books. The fourth most common number of books read was 4, with 4 students reading 4 books.

To calculate the median number of books read, the data points from the line plot must be arranged in numerical order. This would be 0, 1, 2, 3, 4. Since there are an even number of points, the median is the average of the two middle numbers, which is 1.5.

From the tally chart and line plot, it can be concluded that the most common number of books read by Hannah and her classmates last month was 2, and the median number of books read was 1.5. This data suggests that many students were reading 2 books last month, but some students were reading fewer than 2 books.

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Answer:

y=mx+c but

Step-by-step explanation:

(,y1-y2÷x1-x2)=y1-y÷ x1-x

A team which had the best overall record for the season and the best measure of center to compare include the following: B. Falcons; they have a larger median value of 24 points

In Mathematics and Geometry, a median refers to the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.

From the data set for Eagles, we have:

3, 24, 14, 27, 10, 13, 10, 21, 24, 17, 27, 7, 40, 37, 55

Mean of Eagles = [3 +24+ 14 +27 +10+ 13+ 10 +21 +24+ 17+ 27+ 7+ 40+ 37 +55]/15

Mean of Eagles = 329/15

Mean of Eagles = 21.93 ≈ 22.

Median of Eagles = 21.

Median of Falcons = 24.

Since Falcons have both a larger mean and median value, the best measure of center to compare would is the mean.

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Answer:

Step-by-step explanation:

Answer:14-14

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can use the ratios of similar triangles to solve this problem. Let's call the height of the tree "h". Then, we have two similar right triangles:

Kaylee's triangle: the height is 1.45 meters, the length of the shadow is 34.2 meters, and the angle between the height and the shadow is theta.

Tree's triangle: the height is h meters, the length of the shadow is 39.55 meters, and the angle between the height and the shadow is also theta.

Using these two triangles, we can set up the following proportion:

h / 39.55 = 1.45 / 34.2

Cross-multiplying, we get:

h * 34.2 = 39.55 * 1.45

Simplifying:

h = (39.55 * 1.45) / 34.2

h = 1.68176

So the height of the tree is approximately 1.68 meters (to the nearest hundredth of a meter).

The number of significant figures in the measurement 0.0301 meters is given as follows:

Three.

The rules for significant digits are given as follows:

The number for this problem is given as follows:

0.0301.

Hence the first two digits are not significant, as the zeros are not between significant digits, while the final three digits are significant.

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The probability that an earthquake striking this region will exceed 5.0 on the richter scale is approximately 0.121 or 12.1%.

To find the probability that an earthquake striking this region will exceed 5.0 on the richter scale, we need to use the cumulative distribution function (CDF) of the exponential distribution.

The CDF of the exponential distribution is given by:

[tex]F(x) = 1 - e^{(-\lambda x)}[/tex]

where λ is the rate parameter, which is equal to 1/mean for the exponential distribution.

So in this case, λ = 1/2.4 = 0.4167.

To find the probability that an earthquake will exceed 5.0 on the richter scale, we need to calculate:

P(X > 5) = 1 - P(X ≤ 5)

= 1 - F(5)

= [tex]1 - (1 - e^{(-0.4167*5))[/tex]

=[tex]e^{(-2.0835)[/tex]

= 0.121

Therefore, the probability that an earthquake striking this region will exceed 5.0 on the richter scale is approximately 0.121 or 12.1%.

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The probability that the essay contains a grammar mistake or a spelling mistake is 11/32

To find the probability that an essay contains a grammar mistake or a spelling mistake, we need to add the probabilities of the essay containing only a grammar mistake, only a spelling mistake, and both a grammar and spelling mistake.

Let's first find the probability of an essay containing only a grammar mistake. From the given information, we know that 1/5 of the mistakes on the essays are grammar mistakes. So, the probability of an essay containing only a grammar mistake is

1/5 - 1/12 = 7/60

The subtraction of 1/12 is necessary because we don't want to count the mistakes that are both grammar and spelling mistakes twice.

Similarly, the probability of an essay containing only a spelling mistake is:

1/8 - 1/12 = 5/96

Again, we subtract 1/12 because we don't want to count the mistakes that are both grammar and spelling mistakes twice.

Finally, the probability of an essay containing both a grammar and spelling mistake is

1/12

Now, we can add these probabilities to find the probability that an essay contains a grammar mistake or a spelling mistake

7/60 + 5/96 + 1/12 = 11/32

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The given question is incomplete, the complete question is:

Based on past experiences, Miss Olenik knows that 1/5 of the mistakes on the essays she grades are grammar mistakes, 1/8 of the mistakes are spelling mistakes, and 1/12 of the mistakes are both grammar and spelling mistakes. If an essay is selected at random, what is the probability that the essay contains a grammar mistake or a spelling mistake?

Answer:

x>4

Step-by-step explanation:

3-

Nehal Kafle

7(3x + 2) - 11x > 54

To solve the inequality 7(3x + 2) - 11x > 54, we need to simplify and isolate the variable on one side of the inequality sign.

First, we distribute the 7 on the left side:

21x + 14 - 11x > 54

Next, we combine like terms:

10x + 14 > 54

Then, we subtract 14 from both sides:

10x > 40

Finally, we divide both sides by 10:

x > 4

Therefore, the solution to the inequality 7(3x + 2) - 11x > 54 is x > 4.

Answer:

A) A pencil.

This means it would be best measured in grams. The answer is the pencil and it would be best measured in grams.

Answer:

Step-by-step explanation:

A=wl

P=2(l+w)

Width,3

The equation for determining the probability of two independent events occurring at the same time is,                       P(A and B) = P(A) * P(B). The probability that at least one of the two independent events occurs is,                                  P(A or B) = 1 - (P(not A) * P(not B)).

The equation for determining the probability of two independent events occurring at the same time is the product of their individual probabilities. For independent events A and B, the equation is:
P(A and B) = P(A) * P(B)

To find the probability that at least one of the two independent events occurs, you can use the complement rule. First, calculate the probability that neither event occurs (i.e., both events don't occur), and then subtract that from 1:
P(A or B) = 1 - P(not A and not B)

Since A and B are independent, the equation for the probability of neither event occurring is:
P(not A and not B) = P(not A) * P(not B)

So the final equation for the probability that at least one of the two independent events occurs is:
P(A or B) = 1 - (P(not A) * P(not B))

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By identifying the vertex of the function, we conclude that it is decreasing for:

[tex]x < -3[/tex]

Here we have an absolute value function:

[tex]f(x) = -|x + 3| - 4[/tex]

This absolute value function has a positive coefficient, which means that the function opens downwards, so it looks like a regular "down" letter.

The function is decreasing when, reading from right to left, we see that the line goes downwards. And for functions like this, this happens for values of x smaller than the vertex x-value.

For:

[tex]f(x) = -|x + 3| - 4[/tex]

The vertex is at (-3, -4)

Then the function is decreasing for [tex]x < -3[/tex]

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18 percentage of all customers prefer sport drinks and tea.

Let's start by finding the total percentage of customers who prefer sport drinks:

55% prefer soft drinks, which means 100% - 55% = 45% prefer sport drinks.

Next, we need to find the percentage of sport drink customers who also prefer tea:

61% of those who prefer sport drinks also prefer coffee, which means 100% - 61% = 39% prefer tea.

Finally, we can calculate the percentage of all customers who prefer sport drinks and tea:

The percentage of customers who prefer sport drinks is 45%.

Of those sport drink customers, 39% also prefer tea.

Therefore, the percentage of all customers who prefer sport drinks and tea is 45% * 39% = 17.55%, which rounds up to 18%.

So, approximately 18% of all customers prefer sport drinks and tea. Therefore, the answer is 18% (rounded to the nearest whole percentage).

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Answer:

it is actually 39%

Step-by-step explanation:

I took the test and got it right.

This is why

55% prefer soft drinks, so 100 - 55 is 45%, which is how many people prfer sport drinks.

61% prefer coffee over tea of the 45% that prefer sport drinks.

we want to know the percentage that prefer sport drinks and tea so we subtract 100 - 61 to get 39%

That is the answer, 39%

Hope this helps, have a good day!

The correct option is the: b The treatments are the organic and traditional fertilizer

Treatments are defined as what we want to compare in the experiment. It can consist of the levels of a single factor, a combination of levels of more than one factor, or of different quantities of an explanatory variable.

Treatments are usually administered to experimental units by 'level', where level implies amount or magnitude. For example, if the experimental units were given 5mg, 10mg, 15mg of a medication, those amounts would be three levels of the treatment.

Therefore, we can conclude that in this question, the treatments are the organic and traditional fertilizer.

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The correct answer is option (B)  [tex]\frac{5}{8}x - 6\frac{1}{2}[/tex]  when  [tex]\frac{5}{8}x +1\frac{1}{3}[/tex] is subtracted from [tex]1\frac{1}{4} x -5\frac{1}{6}[/tex] . Both values are in mixed fraction.

Define mixed fraction ?

A mixed fraction is a mathematical expression that represents a whole number and a fraction together. It is also called a mixed number. In a mixed fraction, the whole number is written first, followed by a space and then the fraction. The fraction represents a part of the whole number, with the numerator (top number) indicating the number of parts and the denominator (bottom number) indicating the total number of parts.

To subtract [tex]\frac{5}{8}x +1\frac{1}{3}[/tex] from [tex]1\frac{1}{4} x -5\frac{1}{6}[/tex] , we can simplify both terms to have a common denominator. The common denominator is 24. Then we have

[tex]1\frac{1}{4}x - 5\frac{1}{6} - \left(\frac{5}{8}x + 1\frac{1}{3}\right)[/tex]

[tex]= \frac{5}{4}\cdot\frac{6}{6}x - \frac{31}{6}\cdot\frac{4}{4} - \frac{15}{24}x - \frac{32}{24}[/tex]

[tex]= \frac{30}{24}x - \frac{124}{24} - \frac{15}{24}x - \frac{32}{24}[/tex]

[tex]= \frac{15}{24}x - \frac{156}{24}[/tex]

[tex]= \frac{5}{8}x - \frac{13}{2}[/tex]

[tex]= \frac{5}{8}x - 6\frac{1}{2}[/tex]

Therefore, the correct answer is option B  [tex]\frac{5}{8}x - 6\frac{1}{2}[/tex] .

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The angles with a common reference angle of 18° in each quadrant will be 18° in the first quadrant, 162° in the second quadrant, 198° in the third quadrant, and 342° in the fourth quadrant.

Given that:

Interval of angle, 0° ≤ θ < 360°

Now we can use the reference angle to find an angle in each quadrant:

For the first quadrant, the angle θ is calculated as,

θ = 162° - 180° = 18°

For the second quadrant, the angle θ is calculated as,

θ = 180° - 18° = 162°

For the third quadrant, the angle θ is calculated as,

θ = 180° + 18° = 198°

For the fourth quadrant, the angle θ is calculated as,

θ  = 360° - 18° = 342°

Therefore, the angles with a common reference angle of 18° in each quadrant are:

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Answer:

842.87 (rounded to 2 dp)

Step-by-step explanation:

Dunno just blag it

If the Mean, Median and only Mode of 5 numbers, 15, 12, 14, 19, and x, are all equal, the value of x must be 15.

The mean of a data set refers to the average value, which is obtained as the quotient of the total value divided by the number of items in the data set.

The median is the central (middle) value when the values of the data set are arranged in ascending or descending order.

The mode is the value that occurs most in the data set.

15, 12, 14, 19, and x

The total value = 75 (15 + 12 + 14 + 19 + x), where x = 15

Mean = 15 (75 ÷ 5)

Median = 15 (12, 14, 15, 15, 19)

Mode = 15 (15, 15, occurring more than the other numbers).

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The key features of the given function include the following:

In Mathematics and Geometry, the vertex form of a quadratic equation is modeled by this formula:

f(x) = a(x - h)² + k

Where:

Based on the information provided about the graph of this quadratic equation, we can reasonably infer and logically deduce that its vertex can be determined as follows:

0 = a(0 + 2)² + 4

0 = 4a + 4

a = -1

f(x) = -(x + 2)² + 4

Vertex, (h, k) = (-2, 4)

Axis of symmetry, Xmax = -2.

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Answer:66.67%

Step-by-step explanation: At Jefferson High School, there are 250 students who drive to school and 375 students who ride the bus to school. To find the percentage of students who drive to school compared to the number of students who ride the bus to school, we can divide the number of students who drive to school by the number of students who ride the bus to school and multiply by 100%:

(250 / 375) * 100% = (2/3) * 100% = 66.67%

So the number of students who drive to school is 66.67% of the number of students who ride the bus to school. Is there anything else you would like to know?

Received message. At Jefferson High School, there are 250 students who drive to school and 375 students who ride the bus to school. To find the percentage of students who drive to school compared to the number of students who ride the bus to school, we can divide the number of students who drive to school by the number of students who ride the bus to school and multiply by 100%: `(250 / 375) * 100% = (2/3) * 100% = 66.67%` So the number of students who drive to school is **66.67%** of the number of students who ride the bus to school. Is

We can make 3 loaves of bread with 1 2/3 pounds of dough.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

To find out how many loaves of bread can be made, we need to divide the total amount of dough by the amount of dough needed for each loaf.

The bucket contains 1 2/3 pounds of dough, which we can rewrite as an improper fraction:

1 2/3 = (3 x 1 + 2)/3 = 5/3

So, the bucket contains 5/3 pounds of dough.

Each loaf requires 4/5 of a pound of dough.

To find the number of loaves that can be made, we need to divide the total amount of dough by the amount of dough per loaf:

Number of loaves = Total amount of dough / Amount of dough per loaf

Number of loaves = (5/3) / (4/5)

To divide by a fraction, we can multiply by its reciprocal:

Number of loaves = (5/3) x (5/4)

Number of loaves = 25/12

Since we cannot make a fraction of a loaf, we need to round the result up to the nearest whole number.

Therefore,

We can make 3 loaves of bread with 1 2/3 pounds of dough.

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To calculate the simple interest rate of the promissory note, we need to determine the total interest paid over the course of the 24 payments.

The total amount to be repaid is 24 x $56.25 = $1350.

The total interest paid is $1350 - $1250 = $100.

The simple interest rate can be calculated using the formula:

Simple Interest = (Total Interest / Principal) x (100 / Time)

where Principal is the amount borrowed, Time is the time period in years, and we multiply by 100 to express the interest rate as a percentage.

In this case, the Time period is 2 years (24 payments of 1 month each).

So, the simple interest rate is:

(100 / 1250) x (100 / 2) = 4%

Therefore, the answer is option (d) 4%.

A sprinkler rotates across 120 degrees while watering a landscape. The sprinkler is 9 meters away from the farthest point reached by the water. The area of field watered is  84.848 m².

We need to locate the region of the grass that has been watered by the sprinkler.

We have a 9-meter distance and a 120-degree angle.

To begin, use the following formula to convert a given angle from degrees to radians:

radians = degree × π/180

= 120 × π/180

= π × 2/3

= 2π / 3

= 2.095 approx.

As a result, the formula for the area of the grass formed by water is:

A= 1/2 × r² ×  2.095

and because the radius is r=9 meters, the area equals:

A= 1/2 × 9² ×  2.095

=  1/2 × 81 ×  2.095

= 84.848 approx.

= 84.848 m².

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