which table represents a linear function

The simplest form of fraction of the given terms is 43/40.

According to the statement

we have to find that the simplest form of the fraction by evaluating.

So, For this purpose, we know that the

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.

The given expression is

7/8+ 1/5

Now, to solve it take a LCM of it then

35+8/40

Now solve the term then the equation become

43/40.

Now, The simple form of the fraction become the 43/40.

So, The simplest form of fraction of the given terms is 43/40.

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Answer:

Pour calculer le temps nécessaire pour que la valeur de l'investissement atteigne $7,700, il faut résoudre l'équation suivante :

2^(t/15) = 7,700/3,500

En résolvant cette équation, on obtient :

t/15 = log2(7,700/3,500)

t = 15 * log2(7,700/3,500)

Le temps nécessaire pour que la valeur de l'investissement atteigne $7,700 est donc égal à environ 8,9 ans (arrondi au dixième de l'année le plus proche).

Answer:

Step-by-step explanation:

That exterior angle is equal to the sum of the remote interiors, specifically:

2x + 3 = 45 + x + 8 and

x = 50

So the angles inside the triangle...we already know one of them is 45. If x = 50, then x + 8 is 50 + 8 = 58. That means that the third angle is 180 - 45 - 58 which is 77.

The correct answer is option 1) "There is no correlation between the amount of sleep and the number of calories burned."

Based on the information provided, the yoga instructor can conclude that there is no correlation between the amount of sleep and the number of calories burned during class. Therefore, the correct answer is

option 1) "There is no correlation between the amount of sleep and the number of calories burned."

Option 2) suggests that further studies would be needed to determine causation, but since there is no correlation found in this study, there is no basis for further investigation into causation.

Option 3) suggests that there is a correlation between the amount of sleep and the number of calories burned and that there is likely causation. However, this conclusion contradicts the information provided, which indicates that there is no correlation between these variables.

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We are tasked with finding the general solution to the second-order linear homogeneous differential equation (-x) y + 2y' + 5y = -2e^(-x)cos(2x) using the method of reduction of order.

To find the general solution, we first solve the associated homogeneous equation, which is obtained by setting the right-hand side of the equation to 0. By assuming a solution of the form y = e^(rx),

Next, we use the method of variation of parameters to find a particular solution to the nonhomogeneous equation. This involves assuming a solution of the form y = u(x)v(x), where u(x) is a function to be determined. By substituting this into the equation and solving for u(x), we can obtain a particular solution.

Finally, we combine the particular solution with the general solution of the homogeneous equation to obtain the general solution to the original equation.

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Since each driver can cover at most one route, we will continuous this process until all 12 routes have been assigned to a driver. This will ensure that the school system pays the least amount possible for the 12 bus routes.

To minimize the school system's cost while assigning drivers to the bus routes, follow these steps:

1. Open the file P05_45.xlsx and arrange the data in a clear format, such as a table with drivers listed vertically and routes listed horizontally. Each cell should contain the amount a driver charges for a specific route.

2. Identify the lowest bid for each route. You can do this by going through each column (representing a route) and finding the minimum amount.

3. Assign the driver with the lowest bid to the corresponding route. Make sure to keep track of which drivers have already been assigned to avoid assigning them to multiple routes.

4. Continue this process for all 12 routes. Remember, each of the 16 drivers can only be assigned to one route.

5. Once all drivers have been assigned to the routes, add up the amounts for each assigned driver to find the total cost for the school system.

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The averages are less variable as compare to the individual outcomes is a true statement as individual value spread in wide range.

The averages are less variable compare to individual values.

Therefore, the individual values are more variable than averages is a true statement.

The given question is incomplete, I answer the question in general according to my knowledge:

Averages are less variable than individual outcomes is a true statement ? Give reason?

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Answer:

A)

x = 7 -2

x = 5

B)

y = 2 -3

y = -1

C)

z = 20 -9

z = 11

D)

p = 3 - 2

p =1

Step-by-step explanation:

You want the variable on one side of the equation to solve.

So we move the numbers on the left side to the right, when you do this you use the opposite operater. Addition and subtraction are opposite operators.

Note: Let us consider, we need to find the gradient of line L.

Given:

The given equation of a line is:

\(y=7-4x\)

The line L passes through the points with coordinates (- 3, 1) and (2, - 2).

To find:

The gradient of the given line and the gradient of line L.

Solution:

Slope intercept form of a line is:

\(y=mx+b\)                ...(i)

We have,

\(y=7-4x\)                   ...(ii)

On comparing (i) and (ii), we get

\(m=-4\)

Therefore, the gradient of the given line is -4.

The line L passes through the points with coordinates (- 3, 1) and (2, - 2). So, the gradient of line L is:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(m=\dfrac{-2-1}{2-(-3)}\)

\(m=\dfrac{-3}{2+3}\)

\(m=\dfrac{-3}{5}\)

Therefore, the gradient of the line L is \(\dfrac{-3}{5}\).

Answer:

5 and 6

Step-by-step explanation:

The square root of 25 is 5 and the square root of 36 is 6. 33 falls between those

3 years

The given function representing the population of alligators is:

Find the intial population at t = 0

The population will double when:

P(t) = 319 x 2

P(t) = 638

The doubling time is the value of t at which P(t) = 638

The population will double after 3 years.

Therefore, the doubling-time for this population of alligators is 3 years

Part A

Minimum: the minimum value in the data set is $10.

First Quartile (Q1): the first quartile is $15

Median (Q2): the median is  $ 22.5

Part A: the data set in array is

$10, $12, $15, $18, $20, $25, $32, $35, $45, $48

Minimum: the minimum value in the data set is $10. This represents the lowest donation received during the first two hours of the carwash.

First Quartile (Q1): the first quartile is the median of the lower half of the data set. In this case, it is $15. This means that 25% of the donations were $15 or less.

Median (Q2): the median is the middle value of the data set when arranged in ascending order. In this case, it is $(20 + 25)/2 = $ 22.5

Third Quartile (Q3): The third quartile is the median of the upper half of the data set. In this case, it is $35. This means that 75% of the donations were $35 or less.

Maximum: The maximum value in the data set is $48. This represents the highest donation received during the first two hours of the carwash.

Part B:

Box plot B matched the data set given because the part corresponds to the data set

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43.36% of the scores fall between 690 and 900 on the collegiate mathematics readiness assessment.

To determine the percentage of scores between 690 and 900, we need to calculate the area under the normal distribution curve between these two values.

First, we need to standardize the scores using the formula z = (x - μ) / σ, where x is the score, μ is the mean, and σ is the standard deviation.

For the score 690:

z1 = (690 - 680) / 120 = 0.0833

For the score 900:

z2 = (900 - 680) / 120 = 1.8333

Next, we need to find the area between these two standardized scores. We can use a standard normal distribution table or a statistical calculator to find the corresponding probabilities.

From the standard normal distribution table, we find that the area to the left of z1 is approximately 0.5328 and the area to the left of z2 is approximately 0.9664.

To find the area between z1 and z2, we subtract the smaller area from the larger area:

Area = 0.9664 - 0.5328 = 0.4336

Finally, we convert the area to a percentage by multiplying by 100:

Percentage = 0.4336 * 100 ≈ 43.36%

Therefore, approximately 43% of the scores fall between 690 and 900 on the collegiate mathematics readiness assessment.

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Answer:

190

Step-by-step explanation:

The distance between the tree and the rock formation is approximately 304.14 meters.

To find the distance between the tree (point T) and the rock formation (point R), we can use the law of cosines. The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

Let's denote the unknown distance between the tree and the rock formation as 'd.'

We have a triangle with sides of lengths 200 meters (side ST), 150 meters (side SR), and d meters (side TR). The angle opposite side ST is 120 degrees.

According to the law of cosines:

d² = 200² + 150² - 2 * 200 * 150 * cos(120°)

Now, we can calculate this expression to find the value of d:

d² = 40000 + 22500 - 60000 * cos(120°)

Using the value of cos(120°) ≈ -0.5, we have:

d² = 40000 + 22500 - 60000 * (-0.5)

d² = 40000 + 22500 + 30000

d² = 92500

Taking the square root of both sides to solve for d:

d = √92500

d ≈ 304.14

Therefore, the distance between the tree and the rock formation is approximately 304.14 meters.

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the x-intercepts in a function are pretty much just its roots or solutions, so let's reword that

what's the equation of a parabola with roots at -3 and 4 that it passes through (0 , -6)?

\(\begin{cases} x = -3 &\implies x +3=0\\ x = 4 &\implies x -4=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x +3 )( x -4 ) = \stackrel{0}{y}}\hspace{5em}\textit{we also know that } \begin{cases} x=0\\ y=-6 \end{cases} \\\\\\ a ( 0 +3 )( 0 -4 ) = -6\implies -12a=-6\implies a=\cfrac{-6}{-12}\implies a=\cfrac{1}{2} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{2}( x +3 )( x -4 ) =y\implies \cfrac{1}{2}(x^2-x-12)=y\implies \boxed{\cfrac{x^2}{2}-\cfrac{x}{2}-6=y}\)

Check the picture below.

a standard unit of sound intensity measurement that is equal to 0.1 bel on the proportional intensity scale. P1 and P2 are the relative energies of the sound, and their definition is given as dB=10log10(P1/P2).

being intense, either as a quality or a state. Particularly: a high level of force, energy, or emotion. the amount of a quantity (like force or energy) in one unit (as of area, charge, mass, or time).

The degree, volume, or magnitude of a phenomenon, such as flame, emotion, weather, work, or passion, is known as its intensity. The word "intensity" has been linked to passion, fire, and violence in the past. When describing the intensity of something like a flame or possibly a love affair, it is utilized.

The sound output per area is what determines intensity. Decibels are a unit of loudness measurement. Watts per square meter (W/m2) are used to assess intensity.

However, intensity is defined as the amount of force per unit of area acting on the surface of a body. The letter "I" stands for intensity. Watt per sq.m (W / m 2) or (kgs-3) is the SI unit of intensity.

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Answer:

c

Step-by-step explanation:

hi yeeeeeeeeeeeeeeeeeettttttttttttt

Answer:

C

Step-by-step explanation:

A= l x w

A = 27 x 27 = 729

A = 28 x 28 = 784

so C is the answer

hope this helps if it is wrong i apologize

The area under the curve for f(x) = 1/x(x-1) on [2,5] using R6 is 31/168

The area under the curve for f(x) = 1/x(x-1) on [2,5] can be determined using Riemann sum or R6.

We need to find the area under the curve of the function f(x) = 1/x(x-1) on the interval [2, 5].

The formula for the definite integral for the function f(x) from a to b is given by:

∫ab f(x) dx.

Using R6, the interval [2, 5] is divided into six sub-intervals of equal length

Δx = (5 - 2)/6 = 1/2.

The values of the function at the end-points of these intervals are:

f(2), f(2 + Δx), f(2 + 2Δx), f(2 + 3Δx), f(2 + 4Δx), f(5)

Substituting the values in the formula of R6 gives us:

R6 = [f(2) + f(2 + Δx) + f(2 + 2Δx) + f(2 + 3Δx) + f(2 + 4Δx) + f(5)] Δx

Note that f(x) is undefined for x = 0 and x = 1.

Therefore, we have to exclude the values of x that cause the denominator of f(x) to become zero,

i.e., 0 < x < 1 and x > 1.

R6 = [f(2) + f(2.5) + f(3) + f(3.5) + f(4) + f(5)] Δx= [1/2 - 1/3 + 1 - 4/7 + 1/3 + 1/12] (1/2)= [31/84] (1/2)

Thus, the area under the curve for f(x) = 1/x(x-1) on [2,5] using R6 is 31/168.

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Answer: C/ three times a number x fewer than seven.

Step-by-step explanation:

3x - 7 is basically (3 x number) minus seven and by looking at the answer choices C is correct because it says 3 times a number (x) then fewer seven which means minus seven. It wouldn't be B because it is not 3-7 and then multiply, that would give a totally different answer.

Answer:

Option B is the right option.

Solution,

Let the points be A and B

A(2,7)---->(X1,y1)

B(-1,4)---->(x2,y2)

Now,

\(slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: = \frac{4 - 7}{ - 1 - 2} \\ \: \: \: \: \: = \frac{ - 3}{ - 3} \\ \: \: \: \: = 1\)

Hope this helps..

Good luck on your assignment..

The energy of a proton accelerated to 13.8 MeV per particle is 1330.863 kJ/mol.

The proton is a positively charged particle found in the nucleus of an atom. MeV is a measure of energy that stands for million electron volts.

The amount of energy it takes to move an electron through a potential difference of one million volts is represented by one electron-volt. kJ/mol is the standard unit used to express the amount of energy per mole of a chemical substance.

The conversion of energy in MeV to kJ/mol is calculated using a conversion factor of 1 MeV = 96.485 kJ/mol.

Therefore, when a proton is accelerated to 13.8 MeV per particle, the energy in kJ/mol is calculated as follows:

13.8 MeV = 13.8 x 96.485 kJ/mol= 1330.863 kJ/mol

Thus, the energy of a proton accelerated to 13.8 MeV per particle is 1330.863 kJ/mol.

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Answer:

32x? I'm so sorry if i'm wrong.

Step-by-step explanation:

The obtained value must be compared against the critical value. Hence, the correct option is b.

In hypothesis testing, the critical value is a threshold or cutoff point that is determined based on the chosen significance level (alpha level) and the distribution of the test statistic. It helps in determining whether to reject or fail to reject the null hypothesis.

After calculating the test statistic (such as z-score or t-statistic) from the observed data, it is compared to the critical value associated with the chosen significance level.

If the test statistic exceeds the critical value, it falls into the critical region, leading to the rejection of the null hypothesis.

If the test statistic is less than or equal to the critical value, it falls into the non-critical region, resulting in a failure to reject the null hypothesis.

Therefore, the obtained value must be compared against the critical value to make a decision in hypothesis testing. Hence, the correct answer is option b.

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Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection is shown in figure.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In △RST;

The vertices are, R(4, 1), S(7, 3), and T(6, 4)

Here, Translation: (x, y) → (x, y−1)

And, Reflection in the y-axis.

Hence, New coordinate of the image of △RST are,

⇒ R' = (- 4, 1 - 1) = (- 4, 0)

⇒ S' = (- 7, 3- 1) = (- 7, 2)

⇒ T' = (- 6, 4 - 1) = (- 6, 3)

Thus, Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection is shown in figure.

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Answer:  \(4\sqrt{2}\)  (choice C)

Explanation:

In a 45-45-90 triangle, the hypotenuse is found through this formula

\(\text{hypotenuse} = \text{leg}\sqrt{2}\)

We could also use the pythagorean theorem with a = 4, b = 4 to solve for c.

\(a^2+b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{4^2+4^2}\\\\c = \sqrt{2*4^2}\\\\c = \sqrt{2}*\sqrt{4^2}\\\\c = \sqrt{2}*4\\\\c = 4\sqrt{2}\\\\\)

Answer:

B. 1800 degrees.

Step-by-step explanation:

Just took the quiz on Edg (2020-2021)!!

Answer:

Y=(9/8)x

Y= (36/32)x

Step-by-step explanation:

. Let y be the value in dollars and x be the number of euros

We are told that On a recent day 8 euros were worth 9 dollars and 32 euros were worth 36 dollars.

Given equation of the form y = kx

Then k=y/x if we cross multiply

Then insert the values of

recent x= 8 euros were worth y= 9 euro

We have 9= k×8

Then K= 9/8

K=values of dollars/ number of Euro

If we input k into the eqn form y = kx

We have Y=(9/8)x

✓32 euros were worth 36 dollars

If we substitute into the form y = kx

We have 36= k×32

Then K= 36/32

Y= (36/32)x

Therefore, the relationship are ;

Y=(9/8)x

Y= (36/32)x