PLEASE HELP!!!!!!!!!!!!!!

Simplify (-5)^5/(-5)^-6

For part (a), we can use Cauchy's Integral Formula which states that for a function f(z) that is analytic inside and on a simple closed contour C, and a point a inside C, we have:   The value of the integral is 2πi i0^(m+1).


f^(m)(a) = (1/2πi) ∮ C f(z)/(z-a)^(m+1) dz

where f^(m)(a) denotes the m-th derivative of f evaluated at a, and the integral is taken counterclockwise around C.

In our case, we have f(z) = 1, which is analytic everywhere, and C is the circle {izl = r} with counterclockwise orientation. So we can write:

iizml dz = i(1/2πi) ∮ {izl = r} 1/(z-i0) dz

where i0 is any point inside the circle, and the integral is taken counterclockwise around the circle.

Using Cauchy's Integral Formula with a = i0 and m = 0, we get:

iizml dz = i

So the value of the integral is just i.

For part (b), we need to evaluate the derivative of the integral, which is:

d/dz (iizml) = -m iizm-1

Using Cauchy's Integral Formula with a = i0 and m = 1, we get:

iizmlldzl = i(-m) (1/2πi) ∮ {izl = r} z^(m-1)/(z-i0)^2 dz

Note that the only difference from part (a) is the z^(m-1) term in the integral. We can simplify this using the Residue Theorem, which states that for a function f(z) that has a pole of order k at z = a, we have:

Res[f(z), a] = (1/(k-1)!) lim[z->a] d^(k-1)/dz^(k-1) [(z-a)^k f(z)]

In our case, the integral has a simple pole at z = i0, so we have:

Res[z^(m-1)/(z-i0)^2, i0] = lim[z->i0] d/dz [(z-i0)^2 z^(m-1)] = i0^m

Therefore, we can write:

iizmlldzl = -2πi Res[z^(m-1)/(z-i0)^2, i0] = -2πi i0^m

Note that the minus sign comes from the fact that the residue is negative. So the value of the integral is -2πi i0^m.

For part (c), we need to evaluate the integral of z^m around the same circle. Again, we can use Cauchy's Integral Formula with a = i0 and m = -1, which gives:

izm dz = (1/2πi) ∮ {izl = r} z^(m+1)/(z-i0) dz

Using the Residue Theorem, we can find the residue at z = i0, which is:

Res[z^(m+1)/(z-i0), i0] = lim[z->i0] z^(m+1) = i0^(m+1)

Therefore, we can write:

izm dz = 2πi Res[z^(m+1)/(z-i0), i0] = 2πi i0^(m+1).

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x ≤ -3/4 I think

Explanation

12x + 5 ≤ -4

- 5. -5

12x ≤ -9

12x/12 ≤ -9/12

x≤ -9/12 = -3/4

The value of  integral sin (x^2+y^2)dA is 2π(cos(9) - cos(64)).

To evaluate this integral using polar coordinates, we first need to express the region R in terms of polar coordinates. In polar coordinates, the equation of a circle with radius r is given by r^2 = x^2 + y^2. So, the region R can be expressed as 3 < or = r < or = 8.

Now, we can express the integral in polar coordinates:

∫∫R sin (x^2+y^2)dA = ∫θ=0 to 2π ∫r=3 to 8 sin (r^2) r dr dθ

We integrate first with respect to r, then with respect to θ:

∫θ=0 to 2π ∫r=3 to 8 sin (r^2) r dr dθ

= ∫θ=0 to 2π [-cos(64) + cos(9)] dθ

= 2π(cos(9) - cos(64))

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Answer:

9.37 km

Step-by-step explanation:

Total distance = length travelled in the bus + length travelled in the autorickshaw

7.87 km + 1.5km = 9.37 km

Answer:

5 = side a

3 = side c

angle B = 62 degrees

JK is side b

Use the Law of Cosines to find the length of side b.

b^2 = a^2 + c^2 − 2ac cos(B)

b^2 = (5^2 + 3^2) − ( 2 x 5 x 3) cos(62°)

b^2 = (25 + 9) − 30 x 0.469

b^2 = 34 - 30 x 0.469

b^2 = 34 - 14.084

b^2 = 19.916

b = √19.916

b = 4.463

Rounded to the nearest tenth is 4.5 mm.

Hope this helps!

Step-by-step explanation:

Answer:

4.5 mm

Step-by-step explanation:

Answer:

T31= 278

Step-by-step explanation:

formula is Tn=a +(n-1)d

T31= 8+(31-1)9

T31=8+(30)9

T31=8+270

T31=278

Question 1

Answer: C) First and last term

----------------

Explanation:

Recall that (a+b)^2 = a^2+2ab+b^2 when using the FOIL rule. To go in reverse, to factor, we would apply the square root to the a^2 to get 'a', and also apply the square root to b^2 to get b. This then helps form the a+b shown on the left side.

The next question will go over a specific example of what is going on. Note that in question 2, the use of the phrasing "root of the first term" and "root of the last term" which helps reinforce we have the correct answer for problem 1.

=========================================================

Question 2

Answers:

----------------

Explanation:

Apply the square root to the first term to get

sqrt(81v^2) = sqrt( (9v)^2 ) = 9v

Or you could note that (9v)^2 = (9v)*(9v) = 81v^2, from which we work in reverse when applying the square root.

Similarly, the square root of the last term is

sqrt(100) = sqrt(10^2) = 10

So that's why the answers are 9v and 10 for the blanks.

We can say:

(a+b)^2 = a^2 + 2ab + b^2

(9v+10)^2 = (9v)^2 + 2(9v)(10) + (10)^2

(9v+10)^2 = 81v^2 + 180v + 100

Answer:

The ratio of girls to total students is 12:30, which can be simplified to 2:5.

Step-by-step explanation:

You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.

Answer:

(X•2)+1=y

Step-by-step explanation:

the • is multipication

Hey there!

\(3-3k+7k=5b\)

Assuming you're trying to solve for b or k, I'll solve both.

Solve for b:

\(3-3k+7k=5b\)

We will need to flip the equation:

\(5b=4k+3\)

Now, let's divide both sides by 5:

\(\frac{5b}{5} =\frac{4k+3}{5}\)

\(b=\frac{4}{5} k+\frac{3}{5}\)

Solve for k:

\(3-3k+7k=5b\)

Let's add -3 to both sides:

\(4k+3+-3=5b+-3\\4k=5b-3\)

Now, let's divide both sides by 4:

\(\frac{4k}{4} =\frac{5b-3}{4}\)

\(k=\frac{5}{4} b+\frac{-3}{4}\)

Now, we've solved for b and k.

Hope this helps!

Answer:

k = -19

Step-by-step explanation:

Given

Subract 11 from each side.

Hey there!

Solve the equation :

k = -19 ✅

k + 11 = -8

>> Substract 11 from both sides :

k + 11 - 11 = -8 - 11

>> Simplify :

k = -19

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The area under the speed curve tells you how much distance the vehicle covers.

The distance for first 30 s corresponds to the area of a rectangle with height k m/s and length 30 s, or

(k m/s) (30 s) = 30k m

The distance for the last 20 s corresponds to the area of triangle with height k m/s and length 20 s, or

1/2 (k m/s) (20 s) = 10k m

If the total distance traveled was 1.7 km = 1700 m, then

30k + 10k = 1700

40k = 1700

k = 42.5

Answer:

48 (rounded to 10).....

Answer:

36-12= 24%

Step-by-step explanation:

um i think this is correct if so pls give brainliest :)

Answer:

Increase, 200%

Step-by-step explanation:

The government of Smartypants would need to subsidize college education per student by $2,000.

The question is asking about how much the government of Smartypants would need to subsidize college education per student to achieve the socially optimal level of education.

As per the graph given below, the socially optimal level of education is where MSB = MPC.

So, the government of Smartypants would need to subsidize college education per student by $2,000 to achieve the socially optimal level of education.

The subsidy shifts the supply curve to the right, and so the equilibrium quantity demanded of education increases from QP to QS.

As a result, the market price decreases from PP to PS.The diagram below shows the effects of a subsidy on the market for education. The supply curve shifts to the right, which increases the quantity of education from Q1 to Q2.

The demand curve does not shift as the cost to consumers has not changed, and the price of education falls from P1 to P2. The subsidy per student is represented by the distance between the original MPC and the new MSC curves at the socially optimal level of education.

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Answer: answer for what?

Step-by-step explanation: oh I see it appeared iN wrong catogory I’m browsing History sorry

The value of z* should be used to construct a 97 confidence interval of a population mean is 2.17.

A degree of uncertainty and certainty in a sample process is measured by confidence intervals. They can choose from a variety of probability limitations, the most frequent becoming a 95% or 99% confidence level.

Some characteristics of confidence interval are-

Now, according to the question;

The confidence level is given 97%.

Thus, the crucial value of z for a 97% confidence interval is 2.17, as determined by a z score table, which is as follows:

\(P(-2.17 < Z < 2.17)=0.97\)

Therefore the obtained probability for the z-score of 2.17 is 0.97.

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\(~~~~\sqrt{x +1} = x -1\\\\\implies \left( \sqrt{x+1} \right)^2 = (x-1)^2\\\\\implies x +1 = x^2 -2x +1\\\\\implies x^2 -2x +1 -x-1=0\\\\\implies x^2 -3x = 0\\\\\implies x(x-3) =0\\\\\implies x =0,~ x =3\\\\x = 0~ \text{doesn't satisfy the original equation.}\\\\\text{Hence,} ~x= 3\)

- Square matrices are the only matrices that can be invertible.
- If a square matrix has a right inverse, it will also have a left inverse.
- Non-square matrices can have either a right inverse or a left inverse, but not both.

In linear algebra, square matrices are the only matrices that can be invertible. A matrix is invertible if there exists another matrix, called its inverse, such that their product is the identity matrix. This means that if A is a square matrix, there exists another matrix B such that AB = BA = I, where I is the identity matrix.

If a square matrix has a right inverse, it will also have a left inverse. This means that if A is a square matrix and there exists another matrix B such that AB = I, then BA = I as well. In other words, the right inverse and left inverse of A will be the same matrix.

On the other hand, non-square matrices can only have either a right inverse or a left inverse, but not both. This is due to the size mismatch between the matrices when multiplying them in different orders. If a non-square matrix has a right inverse, it means that there exists another matrix B such that AB = I. However, this matrix B cannot be a left inverse of A, because the product BA would result in a size mismatch.

Therefore, square matrices are the only matrices that can be invertible. If a square matrix has a right inverse, it will also have a left inverse. However, non-square matrices can only have either a right inverse or a left inverse, but not both.

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The NPV of the project is $0 when the cost of capital is around 31%, and the project becomes unprofitable beyond this point.

Given data, The upfront cost of the project is $900,000Year 1 revenues

= $800,000Year

2 revenues = $1,500,000 Year

3-5 revenue decline by 40% each year Fixed costs = $100,000 per year Variable costs = 50% of revenue

Year-wise cash flows: Year 0: -$900,000 Year

1: $800,000 - 50%($800,000) - $100,000 = $300,000Year

2: $1,500,000 - 50%($1,500,000) - $100,000 = $550,000Year

3: $0.6(1 - 0.4)($1,500,000) - 50%($0.6(1 - 0.4)($1,500,000)) - $100,000

= $210,000Year

4: $0.6(1 - 0.4)2($1,500,000) - 50%($0.6(1 - 0.4)2($1,500,000)) - $100,000 = $126,000Year

5: $0.6(1 - 0.4)3($1,500,000) - 50%($0.6(1 - 0.4)3($1,500,000)) - $100,000 = $75,600

Net cash flow in years 0-5 = -$900,000 + $300,000 + $550,000 + $210,000 + $126,000 + $75,600

= $362,600.

The following is the NPV profile of the project: For the cost of capital of 10%, the project's NPV can be calculated by discounting the cash flows by the cost of capital at 10%.

NPV = -$900,000 + $300,000/(1 + 0.10) + $550,000/(1 + 0.10)2 + $210,000/(1 + 0.10)3 + $126,000/(1 + 0.10)4 + $75,600/(1 + 0.10)5

= -$900,000 + $272,727.27 + $452,892.56 + $152,979.17 + $80,362.63 + $42,429.59

= $101,392.22

The project's NPV is $101,392.22 when the cost of capital is 10%.When the NPV is zero, it is called the project's Internal Rate of Return (IRR). The NPV is positive when the cost of capital is below the IRR, and the NPV is negative when the cost of capital is above the IRR. When the IRR is less than the cost of capital, the project is unprofitable.The following table shows the NPV of the project at various costs of capital:The NPV of the project is $0 when the cost of capital is around 31%, and the project becomes unprofitable beyond this point.

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Answer: For 600 ppl: 84 & for 650 ppl: 91

Step-by-step explanation:

If the average is 1.4 of 10 ppl, you can use that to solve for 600 people and for 650 people.

Divide 600 by 10, and you get 60.

Multiply that by 1.4, and you get 84, which is the answer.

For 650 people:

Divide 650 by 10, and you get 65.

Multiply that by 1.4, and you get 91, which is the answer.

So, based on the available outcomes and the sum of the numbers on two dice, the event of rolling two fair number cubes and getting a total of 14 is impossible.

To determine the likelihood of rolling two fair number cubes and getting a total of 14, we need to consider the possible outcomes. When rolling two number cubes, the minimum possible sum is 2 (when both cubes show a 1), and the maximum possible sum is 12 (when both cubes show a 6). Since the maximum possible sum is 12 and we need a sum of 14, it is impossible to roll two fair number cubes and get a total of 14.

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The distance between car B's original point and the point where car A and car  B pass each other is 20 miles, given the speed of car A is twice the speed of car B, and they are 60 miles apart initially.

We assume the speed of car B to be x miles/hour.

Given car A going at twice the speed of car B, the speed of car A = 2x miles/hour.

When moving toward each other, the relative speed of the cars is the sum of their speeds.

Therefore, the relative speed = x + 2x miles/hour = 3x miles/hour.

The total distance between the cars is given as 60 miles.

Therefore, the time taken by car A and car B to reach the same point = 60/3x hours = 20/x hours.

Therefore, the distance from car B's original point and the point where car A and car B pass each other = Speed of car B*Time = x*(20/x) miles = 20 miles.

Therefore, the distance between car B's original point and the point where car A and car  B pass each other is 20 miles, given the speed of car A is twice the speed of car B, and they are 60 miles apart initially.

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To find the rise between both points, identify the vertical distance over the Y-axis between them.

Similarly, the run can be found by identifying the horizontal distance over the X-axis.

As shown in the image, the rise between both points is -5 and the run between both points is +5.

The slope of a line is the quotient between its rise and its run:

Then, the slope of this line is -1.

Therefore, the answers are:

Rise: -5

Run: 5

Slope: -1

If a case of 24 pairs of the same kind of switches cost a little more than $800. $28 per pair with tax included is not  good estimate of the price  but  $33.33 is the good estimate for the price .

Assuming that the  cost per pair is the amount of $28. Hence, cost of 24 pairs is calculated as:

Cost= $28x24

Cost  = $672.

Based on the above calculation for the cost of 25 pairs we can see that that the  24 pairs of the same kind of switches does not cost more than $800 which implies that $28 is not good estimate for the price.

Now let determine the best estimate of the price with tax included :

Cost = $800/24

Cost = $33.33

Therefore the good estimate for the price with the tax included is $33.33.

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The number of pages that Jacques read per day is 7 pages.

From the information, Jacques has 595 pages of book to read and it took him 85 days to read the novel.

The number of pages will be the entire pages divided by the number of days used. This will be:

= Number of pages / Number of days

= 595 / 85

= 7

Therefore, Jacques read 7 pages per day.

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Jacques has 595 pages of book to read. Suppose it took Jacques 85 days to read the novel, how many number of pages did he read per day.?

Answer:

y = -5, x = 4

The value of a are; a = 6

Since Perpendicular lines have a slope that is negative reciprocal of each other. There product = -1

Solve both equations for y.

2x+3y=7                             x-8y=7

3y = ax + 7                                 8y = -4x + 2

y = ax/3 + 8/3                               y = -4x/8 + 2/8

y = a/3(x) + 8/3                              y = -1/2(x) + 1/4

Now we know that the slope;

y = -1/2(x)+ 1/4  is -1/2

Then the slope of y = a/3(x) + 8/3 is a/3.  

Now the value of "a" will make the lines perpendicular.

You know that one line slope is -1/2 so the other line slope is 2 because the slope are negative reciprocal.  

Thus remember that the slope is the coefficient of the x term.

Now   a/3 = 2 ; a = 6  

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We know that it took 18 hours to drive 666 miles. If we divide the distance by the hours (666 miles)/(18 hours)

We find that 666/18= 37 miles per hour . which means we travel 37 miles each hour.

So, we can estimate that driving 37 miles it will take 1 hour (the distance to Chicago).

Answer:

666/18=37miles/hour

it would take 1 hour to drive 37 miles

The expression is simplified to give 2(9x + 2√3x - 5)

First, we need to know that surds are mathematical forms that can no longer be simplified to smaller forms

From the information given, we have that;

(2√3x - 2)(3√3x + 5)

expand the bracket, we get;

6√9x² + 5(2√3x) - 6√3x - 10

Find the square root factor

6(3x)  + 10√3x - 6√3x - 10

collect the like terms, we have;

18x + 4√3x - 10

Factorize the expression, we have;

2(9x + 2√3x - 5)

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Answer:

142 cm^2

Step-by-step explanation:

Okay, we can first break this down into 3 different rectangles.

3 x 5 rectangle

16 x 7 rectangle

3 x 5 rectangle.

From here, we just multiply these out and add them. 15 + 15 + 112 = 142. So our answer is 142 cm^2  

Answer:

142 cm²

Explanation:

to find the surface area, you need to find the area of all of the boxes within the image above add them all together.

Starting in the middle row and working from left to right it is,

7×3+7×5+7×3+7×5

21+35+21+35=112

Than the bottom and top box is

3×5+5×3

15+15=30

Than you add both of them together,

112+30=142