what is the greatest common factor of 20 and 36?​

Specific humidity is defined as the mass of water vapor per unit mass of dry air. It can be calculated as the ratio of the partial pressure of water vapor (Pv) to the total pressure (Pt) minus the partial pressure of water vapor (Pv).

The specific humidity of a parcel of air is a measure of the amount of water vapor in the air. It is defined as the mass of water vapor per unit mass of dry air. The specific humidity can be calculated using the following equation:

specific humidity = Pv / (Pt - Pv)

where:

Pv is the partial pressure of water vapor

Pt is the total pressure

The partial pressure of water vapor is the pressure that would be exerted by the water vapor if it were the only gas in the air. The total pressure is the sum of the partial pressures of all the gases in the air.

The specific humidity can be used to calculate the relative humidity, which is a measure of how close the air is to being saturated with water vapor. The relative humidity is calculated using the following equation:

relative humidity = Pv / Psat

where:

Psat is the saturation pressure of water vapor

The saturation pressure of water vapor is the pressure at which the air is saturated with water vapor. The saturation pressure increases with temperature.

The specific humidity and relative humidity are both important measures of the amount of water vapor in the air. The specific humidity is a more direct measure of the amount of water vapor, while the relative humidity is a measure of how close the air is to being saturated with water vapor.

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Answer:

find the area of the rectangle in the middle....the two ends are half circles so just find the area of them put together as one circle and add the two areas together....good luck

Step-by-step explanation:

Answer:

Step-by-step explanation:

55

Answer/Step-by-step explanation:

Function A has a rate of change of 10 and function B has a rate of change of 5, so function A has a greater rate of change.

y = mx + b

The slope also known as rate of change is represented as the variable m in y = mx + b. So whatever number replacing m is the rate of change. In this problem 10 is the slope or rate of change.

In a graph, rate of change is determined by the rate in which the output is increasing or decreasing compared to the increase or decrease of the input. In this graph for every 1x added 5y is decreased. So, the rate of change is 5.

The absolute minimum is at (-3,273) and the absolute maximum is at (2,-22).

The given function is, f(x)=4x^3+15x^2-72x+30 on the interval [-5,5].

The critical values of f are the x-values for which f' (x) = 0 or f' (x) does not exist.

We can find critical values of f by differentiating it and solving for f^{'}(x)=0.

Then, we use the first derivative test to determine whether each critical point corresponds to a relative maximum, relative minimum, or neither.

f^{'}(x)=12x^2+30x-72

f^{'}(x)=6(x+3)(2x-4)

The critical values of x that are in the interval [-5,5]are:

x = -3,2

Now, using the second derivative test to classify each of these critical points as either a relative maximum, a relative minimum, or neither,

we have;

f^{''}(-3)=72 > 0

The second derivative test shows that the function has a relative minimum at x=-3.

Therefore, the absolute minimum is at (-3,f(-3))

f^{''}(2) =-24 < 0

The second derivative test shows that the function has a relative maximum at x=2.

Therefore, the absolute maximum is at (2,f(2))

Now, we need to find f(2) and f(-3).

Let's evaluate them one by one.

f(2)=4\cdot2^3+15\cdot2^2-72\cdot2+30=32+60-144+30= -22

f(-3)=4\cdot(-3)^3+15\cdot(-3)^2-72\cdot(-3)+30=-108+135+216+30=273

Hence, the absolute minimum is at (-3,273) and the absolute maximum is at (2,-22).

Therefore, the coordinates of the absolute maximum and absolute minimum of the given function f(x)=4x^3+15x^2-72x+30 on the interval [-5,5] are (2,-22) and (-3,273) respectively.

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Answer:

7 fewer than the number s is s-7

Answer: 7 fewer than a number s = s-7

Step-by-step explanation:

take away 7 from s

Answer:

\(\boxed{478.02}\)

Step-by-step explanation:

→ First understand what Pythagoras theorem is

Pythagoras is a theorem used to find the hypotenuse (the side opposite to the right-angle) of a triangle. We would need the base lengths as well the height in order to use Pythagoras.

→ State the formula and identify the letters

a² + b² = c² ⇒ where 'a' is 380cm, 'b' is 290cm and 'c' is what we are trying to work out

→ Substitute in the values into the formula

380² + 290² = c²

⇒ Simplify

144400 + 84100 = c²

⇒ Collect the numbers together

228500 = c²

⇒ Square root both sides to find 'c'

478.0167361 = c

→ The length of the diagonal is 478.02

Answer:

The list of angles of the triangle in order from smallest to largest will be: A < C < B

Hence, option 'e' is true.

i.e (A,C,B)

Step-by-step explanation:

We know that in a triangle the greater angle has the longer side opposite to it.

From the given triangle,

Side AC = 7.2 is the longer side. Thus, B is the largest angle as it is opposite to the longer side AC = 7.2.

Then comes the second-longest side AB=4.9. Thus, C is the 2nd largest angle it is opposite to the second-longest side AB=4.9.

Finally comes the shortest side BC = 3.2. Thus, A is the shortest angle as it is opposite to the shortest side BC = 3.2.

Thus, the list of angles of the triangle in order from smallest to largest will be: A < C < B

Hence, option 'e' is true.

i.e (A,C,B)

Answer:

50.6°

Step-by-step explanation:

The reference angle = angle of elevation \( (\theta) \)

Side opposite to the reference angle = 78 ft

Adjacent side = 64 ft

Applying trigonometric ratios formula, we would have:

\( tan(\theta) = \frac{opposite}{adjacent} \)

Plug in the values

\( tan(\theta) = \frac{78}{64} \)

\( tan(\theta) = 1.21875 \)

\( \theta = tan^{-1}(1.21875) \)

\( \theta = 50.6 \) (nearest tenth)

Answer:

14.7

Step-by-step explanation:

The given horizontal line is in the center of the circle (indicated by the black dot in the middle), so you can divide 17.5 by 2 in order to find the length of the leftmost segment of the triangle (8.75).

To solve for x, we use the pythagorean theorem as this is a right triangle:

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

\(11.8^{2} + 8.75^{2} = x^{2}\\139.24 + 76.5625 = x^{2}\\215.8025 = x^{2}\\x = 14.6902178...\)

This is 14.7 when rounded to the nearest tenth

Answer:

1.) 20z^5

2.) 8m^5 · 6p^7 · 3mp^0

Step-by-step explanation:

4z^3 · z^2 · 5z

first, multiply 4z · 1z = 4z and add the exponents 3 + 2 = 5

4z^5 · 5z

multiply 4z · 5z and keep the exponents

20z^5

2m^3p^4 · 4m^2p^3 · 3mp^0

find just the "m" variables: 2m^3 · 4m^2 and same as before multiply then add the exponents = 8m^5

now do the same for the "p" variables: 3p^4 · 2p^3 = 6p^7

and for the "mp" variable: 3mp^0

put it all together and this is the simplest form because we don;t know the values of the variables:

8m^5 · 6p^7 · 3mp^0

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!

By applying the K-means algorithm with two centers (15 and 40) to the given data set {10, 11, 14, 17, 19, 22, 23, 25, 46, 47, 59, 61}, we can create two clusters based on the similarity of data points.

The K-means algorithm is an iterative algorithm that aims to partition a given data set into K clusters, where K is a predetermined number of clusters. In this case, we have 2 centers: 15 and 40. The algorithm starts by randomly assigning each data point to one of the centers. Then, it iteratively recalculates the center of each cluster and reassigns data points based on their proximity to the updated centers. Applying the K-means algorithm with the given centers, the algorithm would assign the data points to the clusters based on their proximity to the centers. The data points closer to the center 15 would form one cluster, and the data points closer to the center 40 would form another cluster. The final result would be two clusters that group the data points in a way that minimizes the distance between the data points within each cluster and maximizes the distance between the clusters. The specific assignments of data points to clusters would depend on the algorithm's iterations and the initial random assignments, but the end result would be two distinct clusters based on the chosen centers.

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At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.

We can use the chain rule to find the derivative of y = sin(f(x^2)) with respect to x:

dy/dx = cos(f(x^2)) * d/dx[f(x^2)]

To find d/dx[f(x^2)], we can use the chain rule again:

d/dx[f(x^2)] = f'(x^2) * d/dx[x^2] = 2xf'(x^2)

So, putting it all together:

dy/dx = cos(f(x^2)) * 2xf'(x^2)

At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.

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Answer: Relation

Step-by-step explanation:

The graph fails the vertical line test.

The probability of 0 non conforming units is 0.47.

To find the probability of 0 non conforming units, we can use the fact that the sum of the probabilities of all possible outcomes is equal to 1. Therefore,

P(0 non-conforming units) = 1 - P(1 non-conforming unit) - P(2 non-conforming units)

We are given that P(1 non-conforming unit) = 0.38 and P(2 non-conforming units) = 0.15. Substituting these values into the equation, we get:

P(0 non-conforming units) = 1 - 0.38 - 0.15

P(0 non-conforming units) = 0.47

Therefore, the probability of obtaining 0 non-conforming units is 0.47.

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Answer:

Im not too sure because I haven't done this in a while but, I think the answer is 60cm, don't come at me if its wrong plssss

Step-by-step explanation:

if u divide it along the far left, closer to 12cm, u would have 2 rectangles. they would Both be close and If u added up 12cm and 12cm that would give you 24cm, and if you go to the other rectangle it would be 18 cm plus 18cm that would be 36cm. u do not multiply since it is perimeter and not area. Hope it helped!

Answer:

60 cm

Step-by-step explanation:

18+18+12+12

30+30

60

the 4 unknown sides we know that the 2 lengths equal 18 cm because both of them together are the same length as the base and the 2 widths add up to be 12 cm since it is the same size as the 12 cm width when added together if that makes sense

Hopes this helps

Answer:

7cm

Step-by-step explanation:

Given scale of the map;

             2cm on map is 45 miles on land

A scale expresses the relationship between map distance and the true is distance;

   2cm on map is 45 miles on land ; or ;

         45miles on land is 2cm on the map

      157.5miles on land will be \(\frac{157.5x2}{45}\) = 7cm

The distance on the map is 7cm

Answer:

61.13

Step-by-step explanation:

\(2\pi(4) = 8\pi = 25.13\)

\(25.13 + 10 + 10 + 8 + 8 = 61.13\)

The outlier has very little or no effect on the Median

According to About Statistics, a mathematical outlier, which is a value significantly different from the majority of data, generates a skewed or misleading distribution in the mean and range measurements of the central tendency within a data collection. A bias towards the outlier value is mistakenly visible in the impacted mean or range. An outlier has little to no impact on the median and mode values, which represent alternative metrics of central tendency.

Hence, Outliers can and do affect the median, but the median is less liable to be distorted by outliers than the mean.

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Answer:

No, it is not.

Step-by-step explanation:

I mapped the equation with a graphing calculator. It is not linear.

Pls mark brainliest. Thanks!

Given :

The straight line depreciation equation for  a motorcycle is y = -2,150x + 17,200.

To Find :

a. What is the original price of the  motorcycle? $17,200.00  ?

b. How much value does the motorcycle  lose per year?

c. How many years will it take for the  motorcycle to totally depreciate?

Solution :

y = -2,150x + 17,200.

Here, y is price and x is unit of time in years.

a)

We know, original price is given when x =0.

So, y = 0 + 17,200

y = $17,200.00

b)

Value motorcycle lose per year is coefficient of x i.e $-2,150.00

c)

Form total depreciate :

y = 0

0 = -2,150x + 17,200

x = 17,200÷2,150

x = 8 years.

Hence, this is the required solution.

Answer:

mica should have added 2 to 3 instead of 1

Step-by-step explanation:

Answer:

4d + 16 = 36

or 16 + 4n = 36

it depends on what type of question you have. the second one is best to use, but you can pick.

The solution to the exponential equation \(4^-3v-2=4^-v\)is v = -1.

To solve the exponential equation 4^(-3v-2)=4^(-v) using like bases and the one-to-one property,

Identify the like bases on both sides of the equation. In this case, the like base is 4.

Use the one-to-one property of exponential functions, which states that if two exponential functions with the same base are equal, then their exponents must also be equal. So, we can set the exponents equal to each other:

-3v - 2 = -v

Solve for the variable, v. We can do this by isolating the variable on one side of the equation:

-3v + v = 2

-2v = 2

v = -1

Check our answer by plugging it back into the original equation:

4^(-3(-1)-2) = 4^(-(-1))

4^(3-2) = 4^(1)

4^(1) = 4^(1)

4 = 4

So the solution to the exponential equation \(4^-3v-2=4^-v\)is v = -1.

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Answer:

D) \(8g^{6} h^{4} k^{12} -h^{25}k^{15}\)

Step-by-step explanation:

You have to use the laws of exponents to solve this:

Power of a Power: \((a^{m} )^{n} = a^{mn}\). In this case, \((4g^{3} h^{2} k^{4} )^{3}\), all of the numbers in the parenthesis need to be multiplied to the power of 3: \(4^{3} g^{9} h^{6} k^{12}\).

Quotient of Powers: \(\frac{a^{m} }{a^{n} } = a^{m-n}\). In this case, \(\frac{4^{3} g^{9} h^{6} k^{12}}{8g^{3} h^{2} }\), all of the exponents need to be subtracted (but the 4³ (64) and 8 need to be divided): \(8g^{6} h^{4} k^{12}\).

Use the Power of a Power again for the expression at the right: \((h^{5} k^{3} )^{5}\). You get: \(h^{25} k^{15}\). Keep the subtraction/negative sign where it is.

Together, you get: \(8g^{6} h^{4} k^{12} -h^{25}k^{15}\).

Hope it helps!

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

Hope it helps!

Brainliest pls!

Follow me! :)

Answer: 8 nickels

Step-by-step explanation:

To find the amount of nickels, we can use system of equations. Let's use n for nickel and d for dimes.

Equation 1

n+d=30

This equation comes from the total amount of coins.

Equation 2

0.05n+0.1d=2.6

This equation comes from the worth of the nickels and dimes added together.

To the amount of nickels, we can use elimination method.

0.1n+0.1d=3

0.05n+0.1d=2.6

Now that the dimes are equal, we can subtrace the equations.

0.05n=0.4

n=8

There are a total number of 8 nickels.

Answer:

I need Help on this one too.

Step-by-step explanation:

I am a Scuba Diver Haha But please help

$253584

Explanation

to solve this we need to use multiplication, so

total money= 36 times 7044, or 7044 times 36

then, replace

hence, the answer is

$253584

I hope this helps you