Write and equation for the line graphed below? Use slope-intercept form. ASAP PLSS!

Answer:

time = 70 minutes

The mean time to repair (MTTR) is 20 hours.

What is  MTTR?

Mean time to repair = Total hours spent on corrective maintenance / Number of maintenance actions completed

Mean time to repair = 1,200/60

Mean time to repair = 20 hours

Therefore, the mean time to repair is 20 hours.

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Answer:

See below ~

Step-by-step explanation:

Domain = range of x values

Range = range of y-values

Answer:

the model should or would show twelve

Step-by-step explanation:

in total there are 6,4,8 which equals 18 .There are 18 balls in total. but Alex removed 3 so now there are 15 balls. There 3 different colors and 15 balls. So there is a 5% out of 15 that you will get a certain color .To find the probability you need to calculate all the possible outcomes.

G=Green   R=Red    P=Purple

G,R,P

G,P,R

P,G,R

P,R,G

R,P,G,

R,G,P

There is 6 different outcomes, 15 balls and a 5% chance to get a certain color so if you want to exactly get G,R,P there is a (15 divided by 6) chance to get that order.

(I'm not good at calculating that part.)

Answer: If the ratio is 1:200,000 then the length of the road in centimeters is 800,000 centimeters meaning the conversion of this to kilometers would be 8 kilometers

Step-by-step explanation: every 100k (100,000) cm in kilometers would be 1 kilometer so take that and for the 200,000 times 4 is 800,000 which means the answer is 8 kilometers

________________________________________________________

From the logarithmic differentiation, function \(f(x) = \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}\),

a) \( ln (f(x)) = \frac{1}{x} ln( 1 + 2x) - ln(sin(x))\\ \)

b) \( \frac{f'(x)}{f(x)} = \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x) \\ \)

c ) The derivative of function, f(x) is

\(f'(x) = \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}( \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x)) \\ \)

A logarithmic differentiation calculator is one of online tool used to calculate the derivative of a function using logarithm.

We have a function, \(f(x) = \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}\).

We have to use logarithmic differentiation to determine the derivative and other values of the function.

a) Taking natural logarithm both sides in f(x), \(ln (f(x)) = ln( \frac{( 1 + 2x)^{\frac{1}{2}}}{ sin(x)})\)

Now, using the logarithm property,

\(ln(\frac{m}{n}) = ln(m) - ln(n) \)

\(ln (f(x)) = ln( 1 + 2x)^{\frac{1}{x}} - ln(sin(x)) \\ \). Also use power property, ln(p)² = 2ln(p),

\( ln (f(x)) = \frac{1}{x} ln( 1 + 2x) - ln(sin(x)) - - (1) \\ \)

b) Now, we determine the ratio of f'(x)/f(x)

Take a derivative of equation (1), we have

\(\frac{f'(x)}{f (x) } = \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - \frac{cos(x)}{sin(x)}\\ \)

\(= \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x) \\ \)

c) Now, we determine the derivative of f(x), Substitute original value of f(x) in previous equation,\( \frac{f'(x)}{ \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}} = \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x) \\ \)

f'(x) \( = \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}( \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x)) \\ \). Hence, required value is \( \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}[ \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x)] \\ \).

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The probability helps us to know the chances of an event occurring. The probability of winning a small prize in the carnival is 35.714%.

The probability helps us to know the chances of an event occurring.

\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

Given that there is a total of 56 ducks floating in the pond, out of which 20 ducks are marked as small-prize winners. Therefore, the probability of winning a small price can be written as:

\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\\\\rm Probability=\dfrac{\text{Nnmber of small price ducks}}{\text{Total number of ducks}}\\\\\\Probability = \dfrac{20}{56} = 0.35714 = 35.714\%\)

Hence, the probability of winning a small prize in the carnival is 35.714%.

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Answer:

10 - 9 + 12x = 4x - 9 + 8x

x - 6 = 6 - x

1/2 (6x + 5) = 3x + 2.5

The set of natural numbers {1,2,3,4,...} and the set of positive even numbers {2, 4, 6, 8, . . .} are different because natural numbers include all positive integers, while even numbers only include those that are divisible by 2 with no remainder.

Two important sets of numbers are natural numbers and even numbers. The set of natural numbers consists of numbers that are not negative, beginning with 1 and continuing indefinitely with 2, 3, 4, and so on.

The set of even numbers, on the other hand, consists of numbers that are divisible by 2, beginning with 2, 4, 6, and so on.

Positive integers refer to natural numbers. Any integer greater than zero is a positive integer.

Zero is not a positive integer. Hence, the set of natural numbers consists of {1,2,3,4,…}

On the other hand, the set of even numbers consists of {2, 4, 6, 8, . . .}.

Therefore, {1,2,3,4,…} and {2, 4, 6, 8, . . .} are two different sets of numbers where one set is composed of positive integers (natural numbers) and the other is composed of positive even numbers.

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Finding the square root of non-perfect square numbers typically results in an irrational number, which has a non-repeating and non-terminating decimal representation.

Finding the square root of a number involves determining the value that, when multiplied by itself, gives the original number. Here are a few methods to find the square root:

Prime Factorization: This method involves breaking down the number into its prime factors. Pair the factors in groups of two, and take one factor from each pair. Multiply these selected factors to find the square root. For example, to find the square root of 36, the prime factors are 2 * 2 * 3 * 3. Taking one factor from each pair (2 * 3), we get 6, which is the square root of 36.

Estimation: Approximate the square root using estimation techniques. Find the perfect square closest to the number you want to find the square root of and estimate the value in between. Refine the estimate using successive approximations if needed. For example, to find the square root of 23, we know that the square root of 25 is 5. Therefore, the square root of 23 will be slightly less than 5.

Using a Calculator: Most calculators have a square root function. Simply input the number and use the square root function to obtain the result.

It's important to note that finding the square root of non-perfect square numbers typically results in an irrational number, which has a non-repeating and non-terminating decimal representation.

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The strategies that survive iterated elimination of strictly dominated strategies are: (M,L), (B,L,R), (B,R), (M,R), and (M). The pure-strategy Nash equilibria are: (M,L) and (B,R).

To find the strategies that survive iterated elimination of strictly dominated strategies, we start by looking for any dominated strategies.

In row player's strategy, T dominates B as 2 > 1 and 4 > 3. So, we can eliminate row player's strategy B.

In column player's strategy, R dominates L as 3 > 0 and 2 > 1. So, we can eliminate column player's strategy L.

Now, the reduced game is:

C R

T 1,1 4,2

M 1,2 2,3

In this reduced game, there are no more strictly dominated strategies, so no further elimination is possible.

To find the pure-strategy Nash equilibria, we look for any cells in the game where neither player has an incentive to switch strategies.

One such equilibrium is (T, R), where row player plays strategy T and column player plays strategy R, since neither player has an incentive to switch to a different strategy.

Another equilibrium is (M, C), where row player plays strategy M and column player plays strategy C, since neither player has an incentive to switch to a different strategy.

So, the strategies that survive iterated elimination of strictly dominated strategies are T and M, and the pure-strategy Nash equilibria are (T, R) and (M, C).

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So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

The factors of the given expression are 2av² and (2av³-9).

The given expression is 4a²v⁵-18av².

The factors are the polynomials which are multiplied to produce the original polynomial.

2av²(2av³-9)

Therefore, the factors of the given expression are 2av² and (2av³-9).

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Answer:

8.17 * 10^8

Step-by-step explanation:

Saturn is 9.1 * 10^8 miles from the sun, and earth is 9.3 * 10^7 miles from the sun. From this, we can see that Saturn is much farther from the sun than the earth.

To find the distance of one planet closer to the sun than the other planet, we can subtract 9.3 * 10^7 from 9.1 * 10^8.

Original expression: 9.1 * 10^8 - 9.3 * 10^7

Convert both sides to 10^7: 91 * 10^7 - 9.3 * 10^7

Subtract: 81.7 * 10^7

Simplify: 8.17 * 10^8

Let me know if this helps!

Answer:

3. infinite solutions

Step-by-step explanation:

2.( 8x - 3) = 6x - 6 + 10x

<=> 2.8x - 2.3 = 16x -6

<=> 16x - 6 = 16x - 6

<=> 0 = 0

=> 3. infinite solutions

Answer:

5.8 cm fabric is left

Step-by-step explanation:

Fabric bought = 8.6 cm

Used fabric to make pillow = 2.8 m

We need to find the amount of left fabric.

Left fabric = total fabric - used fabric

= 8.6 cm - 2.8 cm

= 5.8 cm

Hence, 5.8 cm fabric is left.

Petra is building a shed in the shape of a right circular cylinder with a height of 18 feet and a radius of 36 inches. The question asks for the volume of the shed in cubic feet.

To find the volume of a right circular cylinder, we use the formula V = πr^2h, where V is the volume, r is the radius, and h is the height. However, since the units for radius and height are different (inches and feet), we need to convert the radius to feet before calculating the volume. To convert 36 inches to feet, we divide by 12 since there are 12 inches in a foot. Therefore, the radius in feet is 36/12 = 3 feet. Plugging the values into the volume formula, we get V = 3.14 * (3^2) * 18 = 509.04 cubic feet.

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Standard error with equal n = S(m1 - m2 ) = √S₁²/n₁ + S₂²/n₂

and Standard error with unequal n = S(m1 - m2 ) = √Sp²/n₁ + Sp²/n₂

What is the standard deviation?

When comparing a population mean to a sample mean, the standard error of the mean, or simply standard error, shows how dissimilar the two are likely to be. It informs you of the degree to which the sample mean would fluctuate if the research were to be repeated with fresh samples drawn from the same population.

Standard error with equal n = S(m1 - m2 ) = √S₁²/n₁ + S₂²/n₂

Standard error with unequal n = S(m1 - m2 ) = √Sp²/n₁ + Sp²/n₂

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The complete question is -

In calculating the _____________(estimated standard error M1 - M2, pooled variance), you typically first need to calculate the ____________(estimated standard error M1 - M2, pooled variance). The ________________(estimated standard error M1 - M2, pooled variance) is the value used in the denominator of the t statistic for the independent-measures t tests.

As per the measurement the height of the 24U rack is 42 inches.

A rack height measurement refers to the size of the data center equipment that needs to be stored in a server rack.

The most common rack heights are 24U and 42U. These measurements refer to the number of units of 1.75 inches in height that can be accommodated in a server rack.

A 24U rack is 24 units of 1.75 inches high, so the total height of a 24U rack can be calculated by multiplying 24 by 1.75 inches.

Therefore, a 24U rack is 42 inches tall.

This is a standard height measurement for a server rack and is commonly used in data centers.

It is important to note that these measurements are standardized and refer to the size of the equipment that can be stored in the rack, not the actual physical dimensions of the rack itself.

So, when choosing a server rack, it is important to consider the height measurement in relation to the equipment that needs to be stored in it.

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Answer:

Hình tròn lớn và hình tròn nhỏ có cùng tâm O. Tính diện tích hình tròn lớn, biết rằng diện tích hình tròn nhỏ là 12,56m2.

Step-by-step explanation:

Hình tròn lớn và hình tròn nhỏ có cùng tâm O. Tính diện tích hình tròn lớn, biết rằng diện tích hình tròn nhỏ là 12,56m2.

If the Nth bounce is the first bounce with a height of less than 5 feet, then N = 5 feet.

In the given question, a ball is dropped from 10 feet. After it is dropped, the height of each bounce is 80% of the height of the previous bounce. For example, the height of the 1st bounce is 8 feet. We need to find the number of bounces before the height of the bounce becomes less than 5 feet.

Given that a ball is dropped from 10 feet and the height of each bounce is 80% of the height of the previous bounce.

Here,

First bounce: 10 feet

Second bounce: 10 * 0.8 = 8 feet

Third bounce: 8 * 0.8 = 6.4 feet

Fourth bounce: 6.4 * 0.8 = 5.12 feet

Fifth bounce: 5.12 * 0.8 = 4.096 feet

Thus, the height of the fifth bounce is less than 5 feet.

Therefore, the Nth bounce is the fifth bounce and N = 5.

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3BE² + 3DF²- (2AC²- AB) is the answer of the following question

The calculation is as follows

Let E and F be the feet of the perpendiculars from B and D, respectively, to AC. We can use the fact that the area of a quadrilateral is equal to half the product of the diagonals multiplied by the sine of the angle between them to find the length of the diagonal BD.

Since ABCS is a quadrilateral, we have:

Area of ABCS = (1/2) * AC * BD * sin(angle between AC and BD)

Substituting the given values, we get:

924 = (1/2) * 33 * BD * sin(angle between AC and BD)

sin(angle between AC and BD) = 924 / (16.5 * BD)

Now, consider triangles ABC and ACD. Using the Pythagorean theorem, we can write:

AB² + BC² = AC² (1)

CD²+ BC² = AC² (2)

Adding equations (1) and (2), we get:

AB² + 2BC²+ CD²= 2AC²

Substituting AC = 33 and rearranging, we get:

BC² = (2AC²- AB² - CD²) / 2

We can also write:

BE²= AB²- AE² (3)

DF² = CD²- CF²(4)

Adding equations (3) and (4), we get:

BE² + DF²= AB²+ CD² - AE²- CF²

Substituting BC²from earlier, we get:

BE²+ DF² = 2AC² - BC²- AE²- CF²

We want to find BE + DF. Squaring both sides of equation (3), we get:

BE²= AB² - AE²

AE²= AB²- BE²

Similarly, squaring both sides of equation (4), we get:

DF²= CD²- CF²

CF²= CD² - DF²

Substituting these expressions into the equation for BE²+ DF², we get:

BE²+ DF² = 2AC² - BC² - (AB² - BE²) - (CD²- DF²)

Simplifying, we get:

BE² + DF²= 2AC² - BC²- AB²- CD² + 2BE² + 2DF²

Collecting like terms, we get:

BE²+ DF²- 2BE² - 2DF²= 2AC²- BC² - AB² - CD²

Simplifying, we get:

BE²- DF² = 2AC²- BC²- AB²- CD²- 2BE² - 2DF²

Substituting the values we know, we get:

BE²- DF²= 2(33)²- BC²- AB² - CD²- 2BE²- 2DF²

Rearranging, we get:

3BE²+ 3DF² - BC²- AB²- CD²= 2(33)² - 924

Substituting BC^2 from earlier, we get:

3BE²+ 3DF² - (2AC²- AB)

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Answer:

\(\boxed{\sf B. \ \sqrt{61} }\)

Step-by-step explanation:

The line can be made into a hypotenuse of a right triangle.

Find the length of the base and the height of the right triangle.

The base (leg) is 6 units.

The height (leg) is 5 units.

Apply Pythagorean theorem.

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

\(\sf c=\sqrt{6^2 +5^2 }\)

\(\sf c=\sqrt{36+25 }\)

\(c=\sqrt{61}\)

Answer:

Option B is the correct option

Step-by-step explanation:

Assuming center of co-ordinate axes at lower left corner at the line. So end points are:

( x1 , y1 ) = ( 0 , 0 ) and ( x2 , y2 ) = ( 6 , 5 )

Distance between two points is given by formula:

D \( = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \)

\( = \sqrt{ {6 - 0)}^{2} + {(5 - 0)}^{2} } \)

\( = \sqrt{ {6}^{2} + {5}^{2} } \)

\( = \sqrt{36 + 25} \)

\( = \sqrt{61} \)

Hope this helps..

Best regards!!

Answer:

A. coefficient

Step-by-step explanation:

A coefficient is any number before a variable and multiplying with it. For example, 7t. 7 is the coefficient and t is the variable.

Answer:

56.6%

Step-by-step explanation:

To calculate percent decrease, you first subtract the original number with the final number.

2.26 - 0.98 = 1.28

Then, you divide your answer by the original number.

1.28/2.26 = 0.56637168141

Finally, you multiply your answer by 100 and round as necessary.

0.56637168141 x 100 = 56.637168141

Answer:

x=-1, y=-5

Step-by-step explanation:

y=3x-2 (1)

x-y=4 (2)

sub (1) into (2)

x-(3x-2)=4

x-3x+2=4

-2x=2

x=-1

sub x=-1 into (1)

y=3(-1)-2

 =-3-2

y = -5

Therefore: x=-1, y=-5 :))

Answer:

x = -1, y = -5

Step-by-step explanation:

y = 3x - 2

x - y = 4

x - y = 4

x - (3x - 2) = 4

x - 3x + 2 = 4

-2x + 2 = 4

-2x = 2

x = -1

x - y = 4

-1 - y = 4

-y = 5

y = -5

Check:

x - y = 4

-1 - (-5) = 4

-1 + 5 = 4

4 = 4

Answer:

Step-by-step explanation:

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