Given the formula k=1/2mv^2, where
1) K represents kinetic, energy
2) m represents mass and has units of kilograms (kg), and
3) v represents velocity and has units of meters per second (m/s)
Select an appropriate measurement unit for kinetic energy.
A:kgm/s^2
B:kgm^2/s
C:kgm^2/s^2
D:kg^2m^2/s^2

Answer:

I'm not smart sorry

Step-by-step explanation:

Hshshha good luck

Answer: The answer would be 33square inches

Step-by-step explanation:. I hope this helps

The function which represents the cost to drive a car from this agency miles x a day is :

C(x) = 15, if 0 ≤ x ≤ 200

      = 15 + 0.05x, if x > 200

Given that,

A car rental agency charges $15 a day for driving a car 200 miles or less.

The function can be written as,

C(x) = 15 if 0 ≤ x ≤ 200

If a car is driven over 200 miles, the renter must pay $0.05 for each mile over 200 driven.

C(x) = 15 + 0.05x, if x > 200

Hence the correct option is D.

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Answer:

increase

Step-by-step explanation:

the change from 32 miles to 24 is decrease is 8 difference. % change to 196 is an increase.

The percentage change is 25% and it is a percent of increase.

percentage, a relative value indicating hundredth parts of any quantity.

To find the percentage change from 32 miles to 24 miles, we first need to calculate the absolute change:

Absolute change = Old value - New value

Absolute change = 32 miles - 24miles

Absolute change = 8 miles

Percentage change = (Absolute change / Old value) x 100%

Percentage change = (8 miles / 32 miles) x 100%

Percentage change = 25%

Which means there is a 25% increase from 32 miles to 24 miles.

Therefore, the percentage change is 25% and it is a percent of increase.

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\(y = (1/5) x^5 + Ce^ {(-x^5)}\) is the general solution of the given differential equation.

The given differential equation is:

y' + 5x⁴ y = x⁴

To solve this equation, we can use an integrating factor. First, we need to multiply both sides of the equation by the integrating factor, which is \(e^{(int 5x^4 dx)}\):

\(e^{(int 5x^4 dx) }y' + 5x^{4} e^{(int 5x^4 dx)} y = x^4 e^{(int 5x^4 dx)}\)

The integral of 5x⁴ is (5/5)x⁵ = x, so the integrating factor is \(e^{(x^5)}\):

\(e^{(x^5)} y' + 5x^{4} e^{(x^5)} y = x e^(x^5)\)

Now we can recognize the left-hand side as the product of the derivative of the product of \(e^{(x^5)\)and y:

\((d/dx)[e^{(x^5)} y] = x^4 e^{(x^5)}\)

Integrating both sides with respect to x, we get:

\(e^{(x^5)} y = (1/5) x^5 e^{(x^5)} + C\)

where C is the constant of integration. Dividing both sides by \(e^{(x^5)}\), we get the general solution:

\(y = (1/5) x^5 + Ce^(-x^5)\)

where C is an arbitrary constant.

\(y = (1/5) x^5 + Ce^{(-x^5)}\) is the general solution of the given differential equation.

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9

7x+3=10x-24

3=3x-24

27=3x

x=9

Solution

For this case we know that one base angle is 67.5º

Then the other base angle is 67.5º

Then we can find the vertex angle like this:

180 - 67.5- 67.5= 45º

Then the answer for this case is:

45º

Answer: m= -1/7

Step-by-step explanation:

Answer:

78 is the correct answer hope it helps

60 degrees is the measure of arc BC from the figure

The given diagram is a circle with several arc angles

arcAWB = 120 degrees

The line AC is a diameter

Since the sum of angles on a straight line is 180 degrees, hence:

arc AWB + arcBC = 180

arcBC = 180 - arc ZWX

arcBC = 180 - 120

arcBC = 60 degrees

Hence the measure of the arc BC from the diagram is 60 degrees

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Solving we get the  answer for the integral given as \(\[\int \frac{1}{4+5 x} d x= \frac{1}{5} \ln|4+5x| + c\]\).

Let's evaluate the following integral as shown below;

\(\[ \int \frac{1}{4+5 x} d x, x \neq-\frac{4}{5} \]\)

Let u = 4 + 5x

Therefore, du/dx = 5

From the above two statements, we can get that dx = du/5

Therefore, we can simplify the given integral as follows:

\(\[\int \frac{1}{4+5 x} d x= \frac{1}{5} \int \frac{1}{\frac{u}{5}} du\]\)

Which is equal to:\[\int \frac{1}{4+5 x} d x= \frac{1}{5} \ln|u| + c\]

Substitute u = 4 + 5x back into the above integral equation to get:\(\[\int \frac{1}{4+5 x} d x= \frac{1}{5} \ln|4+5x| + c\]\)

Where c is a constant of integration.

According to the question, we know that x cannot be equal to -4/5.

Therefore, the domain of the integral is \(\[x \in (-\infty, -\frac{4}{5}) \bigcup (-\frac{4}{5}, \infty)\]\)

In summary,\(\[\int \frac{1}{4+5 x} d x= \frac{1}{5} \ln|4+5x| + c \text{, x}\neq -\frac{4}{5}\]\)

The answer is therefore \(\[\int \frac{1}{4+5 x} d x= \frac{1}{5} \ln|4+5x| + c\]\).

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The maximum sum of two positive numbers in [1,600] with a product of 600 is 244, and the minimum sum of two positive numbers with a product of 500 is 44.707.

For the maximum sum, consider x and y such that x * y = 600. By AM-GM inequality, (x+y)/2 ≥ √(x*y), which implies x+y ≥ 2√(x*y) = 2√600. To maximize the sum, x = y = √600, so the maximum sum is 2√600 ≈ 244.

For the minimum sum, consider a and b such that a * b = 500. Again, by AM-GM inequality, (a+b)/2 ≥ √(a*b), which implies a+b ≥ 2√(a*b) = 2√500. To minimize the sum, a = b = √500, so the minimum sum is 2√500 ≈ 44.707.

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Answer: C - If the null hypothesis is true, the probability of observing a test statistic pf 1.592 or greater is 0.059

Step-by-step explanation:

The correct interpretation of the p-value is option C. If the null hypothesis is true, the probability of observing a test statistic of 1.592 or greater is 0.059.

In hypothesis testing, the p-value helps us determine the likelihood of obtaining a test statistic at least as extreme as the one observed, assuming the null hypothesis is true. In this case, the null hypothesis (H₀) states that B1 = 0, meaning there is no relationship between the number of times a song is listened to and recording sales. The alternative hypothesis (H₁) states that B1 > 0, suggesting a positive linear relationship between the variables. Since the test is one-tailed and we are testing for a positive relationship, we are looking for a test statistic of 1.592 or greater.

Based on the given p-value of 0.059, we can conclude that if the null hypothesis is true, there is a 5.9% chance of observing a test statistic of 1.592 or greater. This helps us to assess the strength of the evidence against the null hypothesis and make a decision whether to reject or fail to reject it based on a chosen significance level.

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The variation equation is y = (4/3)x. This equation tells us that if x increases (or decreases) by a certain factor, y will increase (or decrease) by the same factor multiplied by 4/3. For example, if x doubles, y will also double, since 2 times 4/3 is 8/3.

When two variables are said to vary directly, it means that if one variable increases (or decreases) by a certain factor, the other variable will increase (or decrease) by the same factor. In mathematical terms, this can be represented as:

y = kx

where k is the constant of variation.

Now, let's use the given information to find the constant of variation and the variation equation. We know that y is 20 when x is 15, so we can plug these values into the equation:

20 = k(15)

Simplifying this equation, we can divide both sides by 15:

20/15 = k

We can simplify the fraction on the left side to get:

4/3 = k

So the constant of variation is 4/3. Now we can use this value to write the variation equation:

y = (4/3)x

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The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658.

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

As per the given,

Total songs = 53

Like songs = 14

Probability of selecting and liking the first song = 14/53

Now since repetition is not allowed and one like the song has been chosen out of 14 thus, the remaining songs = 13, and total songs = 43 - 1 = 52

Probability of selecting liking the second song = 13/52

Probability of selecting liking the third song = 12/51

Probability of selecting liking the fourth song = 11/50

a)

The probability of liking all songs will be 14/53 x 13/52 x 12/51 x 11/50 = 0.03418.

b)

The probability of not liking the next four songs =1 - The probability of liking all songs

The probability of not liking the next four songs = 1 - 0.03418 = 0.96582.

Hence "The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658".

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The probability of exactly 5 successes in 6 trials of a binomial experiment when we round to the nearest tenth of a percent is 29.2%.

The likelihood or chance of an event occurring is measured by probability. Usually, it is stated as a number between 0 and 1, where 0 denotes an event's impossibility and 1 denotes its certainty.

The probability of exactly k successes in n trials of a binomial experiment with probability of success p is given by the binomial probability formula:

P(k) = (n choose k) * \(p^k\) * \((1-p)^(n-k)\)

the number of ways there are to select k things from a group of n objects, where (n choose k) is the binomial coefficient.

In this problem, we are given that n = 6, p = 0.95, and we want to find the probability of exactly 5 successes.

P(5) = (6 choose 5) * 0.95⁵ * \((1-0.95)^(6-5)\)

Simplifying the expression inside the parentheses:

P(5) = 6 * 0.95⁵ * 0.05¹

P(5) = 0.2915

Therefore, the probability of exactly 5 successes in 6 trials of a binomial experiment with probability of success 95% is approximately 0.2915, when we round to the nearest tenth of a percent. So we can write:

P = 29.2% (rounded to one decimal place).

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Answer:

d

Step-by-step explanation:

Answer:

D $2,611.05

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

because I heard that it was subject to the same time period in which the most popular ob on pov and i was in the empty classroom But I think I can dye my hair It is the most popular ob on pov and i was in the car atm but my phone said the time was the only one ☝

By using Manhattan as the dissimilarity measure, the absolute error of the given partitioning is 52.

Using the Manhattan distance, the distance between a point x and its representative object y is given by:

d(x, y) = |x - y|

The absolute error E is given by:

E = ∑d(x, y), for all x in the dataset

where y is the representative object of the cluster to which x belongs.

Using the given information, the dataset consists of the following seven points:

{3, 18, 23, 30, 30, 32, 34}

The representative objects of clusters C1 and C2 are m1 = 30 and m2 = 32, respectively.

Points P1 = 3 and P2 = 30 belong to cluster C1,

Points P3 = 18, P4 = 23, and P5 = 34 belong to cluster C2.

Therefore, we have:

d(P1, my) = |3 - 30| = 27

d(P2, my) = |30 - 30| = 0

d(P3, m2) = |18 - 32| = 14

d(P4, m2) = |23 - 32| = 9

d(P5, m2) = |34 - 32| = 2

Hence, the absolute error E is the sum of these distances:

E = d(P1, my) + d(P2, my) + d(P3, m2) + d(P4, m2) + d(P5, m2)

= 27 + 0 + 14 + 9 + 2 = 52

Thus, the absolute error of the given partitioning is 52.

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The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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Answer:

I think the equation is this

a_n = -n^2/2 + 13n/2 - 5

If this helps the 5th term is 15

Hope this helps :)

1) Three conclusions from the charts could be:

There has been a steady increase in smartphone ownership over the years, indicating the growing popularity and accessibility of mobile technology.

The majority of internet users access the internet through mobile devices, highlighting the shift towards mobile-centric online activities.

Social media usage has seen significant growth, with a considerable percentage of internet users engaging with various social media platforms.

2) The implications for the US based on these conclusions could be:

The increasing smartphone ownership suggests that businesses and organizations need to prioritize mobile optimization and consider mobile-friendly strategies to reach and engage with their target audience effectively.

Here, we have,

Question 1: Three conclusions from the charts could be:

There has been a steady increase in smartphone ownership over the years, indicating the growing popularity and accessibility of mobile technology.

The majority of internet users access the internet through mobile devices, highlighting the shift towards mobile-centric online activities.

Social media usage has seen significant growth, with a considerable percentage of internet users engaging with various social media platforms.

Question 2: The implications for the US based on these conclusions could be:

The increasing smartphone ownership suggests that businesses and organizations need to prioritize mobile optimization and consider mobile-friendly strategies to reach and engage with their target audience effectively.

With a significant portion of internet users accessing the internet through mobile devices, it becomes crucial for companies to ensure their websites and online platforms are mobile-responsive, providing a seamless user experience across devices.

The rise in social media usage indicates that social media platforms have become an integral part of people's lives for communication, information sharing, and entertainment. Businesses and marketers should leverage these platforms to connect with their audience, build brand awareness, and drive customer engagement. It also highlights the importance of social media marketing strategies in reaching and influencing consumers in the US market.

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Answer: 9

Step-by-step explanation:

g + 9 = 18

g = 18-9

  =9

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\(h(x) = 2( {x}^{2} + 5) + 10 \)

\(h(x) = 2 {x}^{2} + 10 + 10\)

\(h(x) = 2 {x}^{2} + 20\)

_________________________________

\(h(13) = 2 \times ({13})^{2} + 20\)

\(h(13) =( 2 \times 169 )+ 20\)

\(h(13 )= 338 + 20\)

\(h(13) = 358\)

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Answer:  No. The grasshopper cannot cover exactly 101 cm in exactly 100 jumps.

Step-by-step explanation:  

If the grasshopper makes 50 forward jumps of 19 cm and 50 backward jumps of 17 cm (in any order) the jumps total 950-850 for a net result of 100.

Changing to any other amount just gets farther away from the goal.

A system of equations yields no solution of integers.

x + y ==100

19x - 17y =101

You can try it, but the result has a decimal. This grasshopper cannot make partial jumps!

The equation of the line with given coordinates in slope intercept form is given by y = 6x.

Use the slope-intercept form of the equation of a line,

y = mx + b,

where m is the slope of the line

And b is the y-intercept.

The slope of the line is equals to,

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points on the line.

Using the coordinates (-3, -18) and (3, 18), we get,

⇒m = (18 - (-18)) / (3 - (-3))

⇒m = 36 / 6

⇒m = 6

So the slope of the line is 6.

Now we can use the slope-intercept form of the equation of a line .

Substitute in the slope and one of the points, say (-3, -18) to get the y-intercept,

y = mx + b

⇒ -18 = 6(-3) + b

⇒ -18 = -18 + b

⇒ b = 0

So the y-intercept is 0.

Putting it all together, the equation of the line in slope-intercept form is,

y = 6x + 0

⇒ y = 6x

Therefore, the slope intercept form of the line is equal to y = 6x.

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The correct answer is option d) 60 cm^2.

The area of the triangle with side lengths 8 cm, 17 cm, and 15 cm can be calculated using Heron's formula. The correct answer can be found by substituting the side lengths into the formula and evaluating the expression.

To find the area of a triangle when the lengths of all three sides are known, we can use Heron's formula. Heron's formula states that the area of a triangle with side lengths a, b, and c is given by:

Area = sqrt(s(s - a)(s - b)(s - c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths are given as 8 cm, 17 cm, and 15 cm. Plugging these values into the formula, we have:

s = (8 cm + 17 cm + 15 cm) / 2 = 20 cm

Area = sqrt(20 cm(20 cm - 8 cm)(20 cm - 17 cm)(20 cm - 15 cm))

     = sqrt(20 cm * 12 cm * 3 cm * 5 cm)

     = sqrt(3600 cm^2)

     = 60 cm^2

Therefore, the correct answer is option d) 60 cm^2.

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the complete question is:

A triangle has sides 8 cm, 17 cm and 15 cm The area of the triangle is

a) 50 cm^2

b) 68  cm^2

c) 40 cm^2

d) 60 cm^2