[(2/3)^2]^3 X (2/3)^2 ÷ (2/3)^8 ​

Answer:

2.2%

Step-by-step explanation:

i took the test!

Answer:

q²-10q+16

Step-by-step explanation:

FOIL stands for:

First -> (q-2)(q-8)

Outer -> (q-2)(q-8)

Inner -> (q-2)(q-8)

Last -> (q-2)(x-8)

Following FOIL, we get:

(q-2)(q-8)

(q)(q)+(q)(-8)+(-2)(q)+(-2)(-8)

q²-8q-2q+16

q²-10q+16

Therefore, the expanded form is q²-10q+16

Answer:

congruent

Step-by-step explanation:

The recommended rule to sequence the jobs for minimum flow time is the EDD (Earliest Due Date) rule.

The EDD rule prioritizes jobs based on their due dates, where jobs with earlier due dates are given higher priority. By sequencing the jobs in order of their due dates, the goal is to minimize the total flow time, which is the sum of the time it takes to complete each job.

In this case, applying the EDD rule, the sequence of jobs would be as follows:

D (Due on Friday 10th June)

F (Due on Tuesday 14th June)

E (Due on Wednesday 15th June)

C (Due on Friday 17th June)

G (Due on Thursday 16th June)

H (Due on Saturday 18th June)

A (Due on Monday 13th June)

B (Due on Monday 20th June)

By following the EDD rule, we aim to complete the jobs with earlier due dates first, minimizing the flow time and ensuring timely delivery of the orders.

Therefore, the recommended rule for sequencing the jobs in this scenario is the EDD (Earliest Due Date) rule.

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Answer:

14

Step-by-step explanation:

5+x-y (x-y=9) so -----> 5+9=14

Answer:

5+9 = 14

Step-by-step explanation:

x-y = 9, so 5+x-y would be equal to 5+9

5+9 is 14

hope this helps!

Answer: 41$

Step-by-step explanation:

This is because 5x6=30 (To find how much money is made)

then 11+30=41 (add both amounts)

Answer:

1

Step-by-step explanation:

1

Answer:

x=2

y= -2.5

Step-by-step explanation:

x int

1.) set y to 0 (5x -4(0)=10

solve for 5x=10

y int

1.) set x to 0

solve for -4y=10

Answer:

x=2, y=-5/2

Step-by-step explanation:

to find the 'x' intercept, set the 'y' value to zero and solve:

5x - 4(0) = 10

5x = 10

x = 2

to find the 'y' intercept, set the 'x' value to zero and solve:

x(0) - 4y = 10

-4y = 10

y = -10/4 or -5/2

Answer:

\( \frac{dy}{dx} = - 1 \frac{5}{9} \)

Step-by-step explanation:

Please see the attached picture for the full solution.

☆ \(\frac{1}{x} = x^{ - 1} \)

Declan's reasoning does make sense. This is because 3/4 and 1/2 have the same denominator, and 3/4 is a larger fraction than 1/2.

Therefore, it is reasonable to assume that 3/4 is greater than 6/12 because 6/12 simplifies to 1/2. Simplifying fractions means dividing the numerator and denominator by the same number, in this case, 6 is divisible by 2, so we can reduce the fraction to 1/2.

So, Declan is correct in his reasoning that 3/4 is greater than 6/12. It is important to understand the relationship between fractions and their denominators to make such comparisons accurately.

3/4 = 9/12

1/2 = 6/12

6/12 = 6/12

Since 9/12 (which is equivalent to 3/4) is greater than 6/12 (which is equivalent to 1/2), we can say that 3/4 is indeed greater than 6/12.

Therefore, Declan's reasoning is correct.

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Answer:

Step-by-step explanation:

always follow BODMAS or BIDMAS-

Do the multiplication, which is 15/3 and when simplifiyed becomes 5.

Then work out 6 divided by 3/2. In division for fractions, you always find the reciprocal of the 2nd number and multiply instead of divide, so its 6 x 2/3 which is 12/3, simplifiyed to be 4. 5+4=9. 9+10 is 19, and 19-4=15

Answer:

2

Step-by-step explanation:

I hope this helps you :)

Answer:

2

Step-by-step explanation:

Anything divided by 2 is half of itself. So 600 ÷ 300 would technically be 300. But in division we count the amount of times a number can go into the other number. So 600 divided by 300 is 2.

Answer:

B.

Step-by-step explanation:

I did 46.20 divided by 12 and I got my answer.

Answer:

$3.85 per gallon

Step-by-step explanation:

46.20/12 = 3.85

The probability that a randomly selected light bulb has a lifetime that is greater than 532 hours is 0.10027

From the question, we have the following parameters that can be used in our computation:

Normal distribution, where, we have

Mean = 500

Standard deviation = 25

So, the z-score is

z = (x - mean)/SD

This gives

z = (532 - 500)/25

z = 1.28

So, the probability is

P = P(z > 1.28)

Using the table of z scores, we have

P = 0.10027

Hence, the probability is 0.10027

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The required Green's functions are:

a) ƏG(x, t; 20,t) = 1/(2√πBt) exp[-(x-20)²/4Bt].

b) ƏG(x, t; 20,t) = 1/(2√πBt) [exp[-(x-20)²/4Bt] - exp[-(x+20)²/4Bt]].

c)  r = (5/2)B(20²/πt)exp(-100Bt).

d) ƏG(x, t; 20,t) = 1/(2√πBt) [exp[-(x-20)²/4Bt] + exp[-(x+20)²/4Bt]].

The position of maximum probability density as a function of time is obtained as xmax(t) = 20(1 - 2Bt/ln(4)).

(a)  For the given diffusion differential equation au/a t = B(u) one-dimensional problem with no boundaries, the Green's function is given as

ƏG(x, t; 20,t) = 1/(2π) ∫ dk exp(-ik(x-20))exp(-k²Bt).

Taking Fourier transform of the equation gives

∂ G/ ∂ t = BG.

Substituting the Green's function in this equation and taking the Fourier transform of the function results in ∂G/ ∂ t = -k²BG.

This differential equation has the solution

G(x, t; 20, t) = 1/(4πBt) exp(-[(x-20)²/4Bt]),

which can be Fourier transformed back to the real space. Thus, the Green's function is obtained as

ƏG(x, t; 20,t) = 1/(2√πBt) exp[-(x-20)²/4Bt].

(b) If an absorbing wall is placed at x = 0, then the probability of finding a particle at x = 0 must be zero. The method of images can be used to solve this problem using the result from part (a).

The image source must be placed in the region x < 0. With the appropriate pre-factor, this image source can recreate the appropriate boundary conditions at x = 0.

Therefore, the Green's function for this case is obtained as

ƏG(x, t; 20,t) = 1/(2√πBt) [exp[-(x-20)²/4Bt] - exp[-(x+20)²/4Bt]].

(c) Using Fick's law j = -B(du/dx), where d is the concentration gradient, the rate of absorption at the wall can be found by considering the flux of particles at x = 0. At x = 0, the concentration gradient is given as

du/dx = (G(x, t; 20,t) - G(-x, t; 20,t))/2.

Substituting this into Fick's law and considering that j = -D du/dx at steady state, where D is the diffusion coefficient, gives the rate of absorption at the wall as

r = -D[B(∂G/∂x)]

x=0

r = (1/2)B[D/√πt](20/√Bt)²exp(-400Bt/4)

r = (5/2)B(20²/πt)exp(-100Bt).

therefore the required function is r = (5/2)B(20²/πt)exp(-100Bt).

(d) If the wall at x = 0 were reflecting, the flux of particles through the wall would be zero. But G(x=0) would not necessarily be zero. This is the boundary condition of the Neumann type, and the solution is unique.

The method of images can be used to find the Green's function. The image source must be placed in the region x < 0. With the appropriate pre-factor, this image source can recreate the appropriate boundary conditions at x = 0.

Therefore, the Green's function for this case is obtained as

ƏG(x, t; 20,t) = 1/(2√πBt) [exp[-(x-20)²/4Bt] + exp[-(x+20)²/4Bt]].

The position of maximum probability density as a function of time is obtained as xmax(t) = 20(1 - 2Bt/ln(4)).

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There are 5 full square and 6 triangles that are half squares.

      5 + (6)(1/2) = 5 + 3 = 8

You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area.  But counting works well in this example.

Answer: 8

Step-by-step explanation:

First you split up this shape into two different shapes, a triangle and trapezoid

Put a line through the coordinates (-2,2) to  (-1,2); the top is a triangle and the other is a trapezoid

Area of the trapezoid is A = .5x (base1 + base2) x height

base1 of the trapezoid goes from -4 to -1 which is 3

base2 goes from -2 to -1 which is 1

height is 0 to 2 whcich is 2

A = .5 x (3+1) x 2 = 4

Now area of a triangle is A = .5 x base x height

the base goes from -2 to 2 which is 4

the height goes from 2 to 4 which is 2

A = .5 x (4) x (2) = 4

Area of the Trapezoid + Area of the Triangle = Total Area

4 + 4 = 8

The probability of drawing two eights is 16/2,704, which simplifies to 1/169, or approximately 0.59%.

There are a total of 52 cards in each deck, so there are 52 x 52 = 2,704 possible combinations of cards that could be drawn.

To calculate the probability of drawing two eights, we need to determine the number of ways we can draw two eights and then divide that by the total number of possible combinations.

There are four eights in each deck, so there are 4 x 4 = 16 ways to draw two eights (one from each deck).

Therefore, the probability of drawing two eights is 16/2,704, which simplifies to 1/169, or approximately 0.59%.

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The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.

The mean absolute deviation (MAD) measures the average distance between each data point and the mean of the dataset. To find the MAD, you need to follow these steps:

1. Calculate the mean of the dataset by adding up all the numbers and dividing the sum by the total number of data points. In this case, the dataset consists of the following numbers: 3, 6, 3.8, 3.2, and 3.4. Adding them up gives us a sum of 19.4. Dividing this sum by 5 (since there are 5 data points) gives us a mean of 3.88.

2. Find the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value. For example, for the first data point, 3, the absolute deviation would be |3 - 3.88| = 0.88. Repeat this step for all the data points.

3. Calculate the mean of the absolute deviations by adding up all the absolute deviations and dividing the sum by the total number of data points. In this case, the absolute deviations are: 0.88, 2.12, 0.72, 0.68, and 0.58. Adding them up gives us a sum of 4.98. Dividing this sum by 5 gives us a mean of 0.996.

So, the mean absolute deviation for the given dataset is approximately 0.996.


The mean absolute deviation helps us understand how much each data point varies from the mean of the dataset. By calculating the absolute deviation for each data point and finding the average, we can determine the typical amount of variation in the dataset.


The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.

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The probability of Paulina getting injured in either volleyball or soccer is 0.19.

To find the probability of Paulina getting injured in either volleyball or soccer, we can use the formula:

P(Volleyball or Soccer) = P(Volleyball) + P(Soccer) - P(Volleyball and Soccer)

We are given that the probability of Paulina getting injured playing volleyball is 0.1, and the probability of her getting injured playing soccer is 1/10 = 0.1 as well. However, we are not given any information about whether these events are independent or not, so we cannot assume that P(Volleyball and Soccer) is equal to the product of P(Volleyball) and P(Soccer).

If we assume that the events are independent, then we can calculate P(Volleyball and Soccer) as:

P(Volleyball and Soccer) = P(Volleyball) * P(Soccer) = 0.1 * 0.1 = 0.01

Then, using the formula above, we can calculate the probability of Paulina getting injured in either volleyball or soccer as:

P(Volleyball or Soccer) = 0.1 + 0.1 - 0.01 = 0.19

Therefore, the probability of Paulina getting injured in either volleyball or soccer is 0.19, assuming that the events are independent.

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Answer:

x = 5, y = 1

Step-by-step explanation:

2x - y = 9

2x + y = 11         subtract equation 2 from equation 1

0 - 2y = -2

y = -2/-2 = 1       substitute into equation 1 or 2 to solve for x

2x - 1 = 9

2x = 10

x = 10/2 = 5

The sum of interior Angles of Hexagon is always 720°

Any hexagon's internal angles add up to 720° in all cases. By dividing 720° by 6, we may get the size of each interior angle of a regular hexagon. As a result, we have:

720°÷6 = 120°

In a regular hexagon, each inside angle is 120°.

An example of a regular hexagon with equal-length sides and angles is shown in the diagram below. By multiplying the six 120° angles together, we can demonstrate that the result is 720°.

Therefore, the interior angles of a hexagon are always added up to 720°.

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Answer: y=-9.9

x has decreased by 3.3

x=9.9-3.3

=6.6

so you do the same to y

y=-6.6-3.3

=-9.9

am answering from two to ten

Therefore, the distribution of B(s) + B(t) is a normal distribution with mean 0 and variance 2(t - s).

The distribution of the sum of two independent Brownian motions, B(s) and B(t), where s ≤ t, is itself a normal distribution.

If we consider B(s) and B(t) as two random variables, each following a normal distribution with mean 0 and variance t - s, then their sum B(s) + B(t) will also follow a normal distribution. The mean of the sum will be 0 + 0 = 0, and the variance of the sum will be (t - s) + (t - s) = 2(t - s).

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Answer:

£15

Step-by-step explanation:

The 2 part of the ratio represents the £10 that Jim gets.

Divide the amount by 2 to find the value of one part of the ratio.

£10 ÷ 2 = £5 ← value of 1 part of the ratio, thus

3 parts = 3 × £5 = £15 ← amount Krutika gets

If the company wants to keep its production costs under $175,000, then  5.6 ≤ x ≤ 24.13 constraint is reasonable for the model given that the function C(x) = −0.74x² + 22x + 75 ,the production cost C, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands. This can be obtained by using the given graph of the function.

A constraint is a condition of an optimization problem that should be satisfied the condition.

From the we have the function,

⇒ C(x) = −0.74x² + 22x + 75

the production cost C, in thousands of dollars for a tech company to manufacture a calculator, x is the number of calculators produced, in thousands.

In the graph the dotted line is the line where C(x) is $175,000. Above this line every the value is greater than $175,000.

The points where this line, that is C(x) = y = 175, intersect the graph of the given function C(x) = −0.74x² + 22x + 75 is (5.6, 175) and (24.13, 175).

Therefore, x ≥ 5.6 and x ≤ 24.13  

⇒ 5.6 ≤ x ≤ 24.13

Hence if the company wants to keep its production costs under $175,000, then  5.6 ≤ x ≤ 24.13 constraint is reasonable for the model given that the function C(x) = −0.74x² + 22x + 75 ,the production cost C, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands.

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Answer:

0 ≤ x < 5.6 and 24.13 < x ≤ 32.82

Step-by-step explanation:

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

-2

-3 etc

thats the answer