Consider the contour integral 23 – 22 + 2z - 3 I 22 (22 +9) where C is a closed simple curve oriented counterclockwise. 1-1 dz, (a) (4 pts) Compute I when C is given by C : |Z| = 2. (b) (4 pts) Compute I when C is given by C:\z – 2i] = V3. (c) (4 pts) Compute I when C is given by C : |Z – 2i1 = 3. = (d) (4 pts) Compute I when C is given by C : 12 – 211 = 6. =

Answer:7/5

Step-by-step explanation:

Start at the bottom dot and count up then go over to the right and count until you have reached the other dot.

Answer:

7/5

7 over 5 is the slope

The original problem is feasible if all the artificial variables in the last column of the tableau are equal to zero. In a simplex tableau, if all the artificial variables are zero at the end of Phase I, it means that a basic feasible solution has been found and the original problem is feasible.

If any artificial variable is non-zero, it indicates that the constraints cannot be satisfied and the problem is infeasible. The values of a, b, c, and d are determined by the non-zero entries in the last row of the table. The last row of the tableau represents the coefficients of the artificial variables in the final basic feasible solution. Each non-zero entry corresponds to a variable in the original problem. The values of a, b, c, and d can be determined by matching the non-zero entries with their respective variables.

Using the information in the tableau and the fact that the objective function for the original problem is min 2x1 + 3x2, reconstruct the original problem without slack or surplus variables. To reconstruct the original problem without slack or surplus variables, we need to remove the columns associated with these variables from the tableau and update the objective function accordingly. Remove the columns corresponding to the slack or surplus variables from the tableau, leaving only the columns for the original variables. Update the coefficients of the variables in the objective function based on the values obtained in step 2. The reconstructed problem will have the same objective function as stated, but without the slack or surplus variables.

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There is no such a number whose absolute value is -2. This is because the absolute value of any number is its distance from 0 irrespective of the direction.

An absolute value of a number is the distance of the number from 0 on a number line irrespective of the direction.

Consider the number "x".

Then its absolute value is written as

|x| = x if x ≥ 0;

   = 0 if x = 0;

   = -x if x < 0;

For example x = -9; then its absolute value is

|(-9)| = -(-9) = 9; (Since x = -9 < 0; we applied |x| = -x)

So, we can conclude that irrespective of the direction (positive or negative), the absolute value of any number remains positive.

We know that the absolute value of any number is calculated by

|x| = x if x ≥ 0;

   = 0 if x = 0;

   = -x if x < 0;

And the absolute value of any number irrespective of its direction on the number line remains positive.

So, no such number has a negative absolute value.

Hence, the answer is none for the given question.

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Answer: 3:2

Step-by-step explanation:

the base ratio of unused tape to used tape is 24:16.

then we have to simplify,

both 16 and 24 can be divided by eight,

24 divided by eight is 3

16 divided by eight is 2

therefore, our simlpified ratio is 3:2

hope this helped! <3

With 450 kids and chaperone there are 451 passengers to be transported, Using simple unitary method, The answer is 6 buses.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unitary method's formula is to identify the value of a single unit, then multiply that value by the number of units to obtain the required value.

The arithmetic operator is used to carry out mathematical operations on the provided operands, including addition, subtraction, multiplication, division, and modulus.

total members to be transported = 451

each bus hold = 80

Number of bus needed = 451/80 = 5.63

So, We need 6 buses in total.

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Answer:

Step-by-step explanation:

The given triangles are obtuse = 36 m, right angled = 225 m and right angled = 2500 m.

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

7.) This triangle is obtuse.

To see this, we can use the Pythagorean theorem:

4*4 + 5*5 = 16 + 25 = 41

6*6 = 36 m

Since 41 > 36, we know that the triangle is obtuse.

8.) This triangle is right.

To see this, we can again use the Pythagorean theorem:

11*11 + 12*12 = 121 + 144 = 265

15*15 = 225 m

Since 265 = 225 + 40, we know that the triangle is right.

9.) This triangle is also right.

We can use the same method as before:

30*30 + 40*40 = 900 + 1600 = 2500

50*50 = 2500 m

Since 2500 = 2500, we know that the triangle is right.

Therefore, The given triangles are obtuse , right angled and right angled.

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The  probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.

Using the binomial probability formula, the probability of x successes in n independent trials with a probability of success p can be calculated as:

P(x) = (n choose x) * p^x * (1-p)^(n-x)

where "n choose x" represents the number of ways to choose x items from a set of n items, and is calculated as:

(n choose x) = n! / (x! * (n-x)!)

So, for the given parameters nequals=7, pequals=0.65, xequals=6, we have:

P(6) = (7 choose 6) * 0.65^6 * (1-0.65)^(7-6)
     = 7 * 0.65^6 * 0.35^1
     = 0.3052

Therefore, the probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.

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Answer:

Step-by-step explanation:

what is the value of a in a/5 + 3= 8

a/5 + 3= 8

a/5 = 8 - 3

a/5 = 5

a = 5 * 5

a = 25

Answer: a= 25

Step-by-step explanation:

first, you'll have to write the opposite of the + symbol which is - and then you'll have to lose the 3 by substracting it with, so the equation will look like this: a/5= 8-3 not 8+3

a/5=5

after that step you'll have to multiply 5 from the equal sgin with the 5 that is divided by a, so the final equation looks like this:

a=5x5

a=25

now let's make a verification:

25/5+3=8

5+3=8

a=25

hope I helped you :)

Answer:

Use the given slope and point to substitute into the point-slope formula  

y

−

y

1

=

m

(

x

−

x

1

)

.

Slope-intercept form:

y

=

−

2

x

−

11

Point-slope form:

y

+

5

=

−

2

⋅

(

x

+

3

)

Step-by-step explanation:

Answer:

y+5=-2 * (x+3)

Step-by-step explanation:

Answer:

Q is not a function

Step-by-step explanation:

Answer:

0.5 minutes

Step-by-step explanation:

Since we are provided the equation and the current height of the candle (which would be 25 inches) we can simply replace this current height with the variable h and then solve the rest of the equation to find out the value of m when the height of the candle is at 25 inches.

h = 32−14m

25 = 32−14m ... subtract both sides by 32

-7 = -14m ... divide both sides by -14

0.5 = m

Finally, we can see that after 0.5 minutes the candle would have melted down to 25 inches.

Answer:

y=58°

Step-by-step explanation:

calculator

Answer:

A. P=11*3 = 33 ft

   A= 21*3 = 63 ft^3

B. P = 9*3 = 27 ft

   A = 15*3 = 45 ft^3

C. P = 20*3 = 60 ft

   A = 24*3 = 72 ft^3

D. P = 13*3 = 39 ft

   A = 25*3 = 75 ft^3

Step-by-step explanation:

The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.

If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:

nPr = n!/{(n - r)!}.

In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.

Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.

Substituting n = 8, and r = 4 in the formula, we get:

8P4 = 8!/{(8 - 4)!}

= 8!/4!

= 5 * 6 * 7 * 8

= 1680.

Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

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Step-by-step explanation:

bicycle cost= 310

initial money in savings account= 50

additional money saved per week = 20

number of weeks = w

you have to set up an equation

The equation is...

bicycle cost = additional money saved × w + initial money

Substitute the values

310 = 20w + 50

Solve for w

310 - 50 = 20w +50 - 50

260 = 20w

260÷ 20 = 20w÷ 20

13 = w

It will take 13 weeks for her to have enough money for her bicycle

I hope this helps!!!

Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)

The the /ta/ sound is the sound which listeners are likely to report hearing. The option B is correct option.

According to the statement

we have given that the The voice onset time (vot) for the sound /da/ is 17 ms, and the vot for the sound /ta/ is 91 msec. and we have to find the sound which listeners are likely to report hearing.

So, For this purpose, we know that the

Traffic announcement (TA) refers to the broadcasting of a specific type of traffic report on the Radio Data System. It is generally used by motorists, to assist with route planning, and for the avoidance of traffic congestion.

And according to this and the voice onset time is

The brief instant that elapses between the initial movement of the speech organs as one begins to articulate a voiced speech sound and the vibration of the vocal cord.

And according to this

the /ta/ sound is the sound which is the like by the listeners are likely to report hearing.

So, The the /ta/ sound is the sound which listeners are likely to report hearing. The option B is correct option.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

The voice onset time (VOT) for the sound /da/ is 17 ms, and the VOT for the sound /ta/ is 91 msec. When a computer produces a sound with a VOT of 65 msec, listeners are likely to report hearing

a. the /da/ sound

b. the /ta/ sound

c. the /ja/ sound

d. a combination of /ta/ and /da/

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Answer:

126 ways

Step-by-step explanation:

To find the number of ways to divide 9 people into two groups, with 5 people in the first group and 4 people in the second group, we can use the concept of combinations.

The number of ways to choose 5 people out of 9 to be in the first group is given by the combination formula:

C(9, 5) = 9! / (5! * (9 - 5)!) = 9! / (5! * 4!) = (9 * 8 * 7 * 6 * 5!) / (5! * 4 * 3 * 2 * 1) = (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1) = 9 * 2 * 7 = 126

This represents the number of ways to select 5 people from a group of 9 to be in the first group.

Once we have determined the first group, the remaining 4 people automatically form the second group.

Therefore, there are 126 different ways to divide 9 people into 2 groups such that the first group has 5 people and the second group has 4 people.

Opportunity cost is the price of giving up an option. An opportunity cost is the price you pay for selecting a particular option over another. Opportunity cost is the benefits you lose by choosing one alternative over another one.”

The value of the next-highest-valued alternative use of a resource is what economists mean when they talk about its "opportunity cost." You cannot, for instance, read a book at home during the time you would have spent seeing a movie and spend the money you would have spent on something else.

Opportunity cost is frequently referred to as the second-best option. The loss of benefit that would have been realized if a different option had been taken is sometimes referred to as the alternative cost. The loss of advantage as a result of a change in decision is another way to explain it.

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Answer:

B: 72

Step-by-step explanation:

Here, we want to find the measure of arc AC

Mathematically, we will use an angle arc relationship here

The angle arc relationship to use here is that the arc AC is twice the measure of angle ABC

Thus, we have the arc AC as 2 * 36 = 72 degrees

Answer: x = -5

Step-by-step explanation:

4−2(x+7)=3(x+5)4-2(x+7)=3(x+5)Simplify 4−2(x+7)4-2(x+7).Tap for more steps...−2x−10=3(x+5)-2x-10=3(x+5)Simplify 3(x+5)3(x+5).Tap for more steps...−2x−10=3x+15-2x-10=3x+15Move all terms containing xx to the left side of the equation.Tap for more steps...−5x−10=15-5x-10=15Move all terms not containing xx to the right side of the equation.Tap for more steps...−5x=25-5x=25Divide each term in −5x=25-5x=25 by −5-5 and simplify.Tap for more steps...x = −5

Answer:

y = -1/5x + 2

Step-by-step explanation:

y = mx + b

m (slope) = -1/5

b (y-intercept) = 2

y = -1/5x + 2

Answer:  d) Angle-Angle-Side (AAS)

Step-by-step explanation:

See image --> I labeled the angles to show ΔABC and ΔCDE

Here is the proof that shows ΔABC ≡ ΔDEC

Statement                  Reason

1. AB ≡ DE                    1. Given

2. ∠B ≡ ∠E                   2. Given

3. ∠ACB ≡ ∠DCE         3. Vertical Angles

4. ΔABC ≡ ΔDEC         4. AAS Congruency Theorem

We have 2 angles and 1 side so our only options are AAS or ASA.  

We can eliminate ASA because the side is NOT between the angles.

If you follow the path of the triangles; first you have Side (AB ≡ DE), then Angle (∠B ≡ ∠E), then Angle (∠ACB ≡ ∠DCE).  We don't have SAA as an option so follow it backwards and you get Angle-Angle- Side (AAS).

80(x+1.5)=360

An equation is a fact or rule that uses mathematical symbols. It will usually have:

1. an equals sign (=)

2. two or more variables(x, y, etc) that stand in for values we don't know yet It shows us how things are related to each other.

Method 1

Total this year = 360

80 x 1.50 = 120

Last year = 360 - 120

=240

240/80

= 3pounds each

Method 2(using the equation)

80(x + 1.5) = 360

80x + 120 = 360

80x = 360 -120

80x = 240

x = 240/80

x = 3pounds

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The amount of grass needed for the courtyard is given as follows:

105.68 square feet.

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it's measure is half the diameter, given as follows:

r = 0.5 x 11.6

r = 5.8 ft.

Hence the area is given as follows:

A = π x 5.8²

A = 105.68 square feet.

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Answer:D

Step-by-step explanation:

Because it has 32 blocks shaded in