How many numbers are in the list 1,4,7 .......... 2005, 2008 URGENT! [If you answer correctly, I will mark you brainliest]

Answer:

The given f(z) is analytic function

i)  δU/δx   = eˣ (cos y) = δV/δy    

ii)  δU/δy   = eˣ (-sin y) = -  δV/δx  

Hence the CR - equations are satisfied

Step-by-step explanation:

Explanation:-

Analytic function:-

A point at which an analytic function ceases to posses a derivative is

called a singular point of the function.Thus the necessary and sufficient condition for a complex function f(Z) = U+i V is analytic in a region R are

δU/δx = δV/δy     and δU/δy = -δV/δx    ( C R equations)

Given f(Z) = eˣ(cos y+ i sin y)

Let          U = eˣ(cos y)   ....(i)

and

              V = eˣ(sin y) ....(ii)

Differentiating equation(i) partially with respective to 'x'

             δU/δx   = eˣ (cos y)

Differentiating partially equation(i) with respective to 'y'

             δU/δy    = eˣ (-sin y)

Differentiating equation(ii) partially with respective to 'x'

             δV/δx    = eˣ (sin y)

Differentiating equation(ii) partially with respective to 'y'

             δV/δy    = eˣ (cos y)

Now

          δU/δx   = eˣ (cos y) = δV/δy    

i)            δU/δx = δV/δy  

           δU/δy   = eˣ (-sin y) = -  δV/δx    

ii)         δU/δy = -  δV/δx    

Hence the CR - equations are satisfied

There fore the given f(z) is analytic function

Answer:

Step-by-step explanation:

Given That

To cover a distance of 240km, a car has to increase the speed by 5km/hr to reach in time. If the time lost was 40 minutes during traffic jam, find the original speed of the car.

                                  .

increased speed of car = 5km/hr .....(speed 1st)

distance travelled = 240km

speed = distance travelled / time taken

= 240 / 40

= 6

thus,

speed = 6km/hr .....(speed 2nd)

.

therefore original speed

= speed 2nd - speed 1st

= 6-5

= 1

Answer:

proportional relationship is not represented by them

Step-by-step explanation:

Ratio a/b and c/d are said to be proportional if a/b = c/d.

_________________________________________________

ratio of yellow part and red part for specific shade of orange =

2 part yellow/ 3 parts red = 2/3

____________________________________________________

ratio of yellow part and red part used by Catie =

3 cups of  yellow/ 4 cups of   red = 3/4

______________________________________

we have two ratio 2/3 and 3/4

but 2/3 is not equal to 3/4

hence , proportional relationship is not represented by them.

the difference of MA is theres only A

the difference is the order

yes AB can be written as BA

Answer:

25 percent

Step-by-step explanation:

Total months: 12

Months read more than three books: 3

3/12=25 percent

Answer:

1/4 = 25%.

Step-by-step explanation:

To figure out the percent of months in which she read more than 3 books, we need to figure out how many times she read more than 3 books.

According to the table, she read more than 3 books exactly 3 times: 4, 5, 5.

We also know that there is a total of 12 months. Out of the 12 total months, she read more than 3 books 3 times. So we can say that:

3/12 = 1/4 = 25% of the months she read more than 3 books.

I hope this helps!

Answer: Every year, the number of plant species shrinks by a factor of 8/9

Step-by-step explanation:

The factor for the numebr of plant species that grows/shrinks, as represented in the exponential function is: 8/9.

An exponential function is represented by the equation, [tex]f(x) = ab^x[/tex], where:

Given the function that models the number of plant species, P(t) = 30,000,000⋅(8/9)t, the growth factor in the exponential function is, 8/9.

Therefore, number of species grows/shrinks by a factor of 8/9.

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Answer:

y = (-1/6)x^2

Step-by-step explanation:

Original function and graph:  y = x^2

Reflection across the x-axis is y = -x^2

Vertical scaling by a factor of 1/6:    y = (-1/6)x^2

Answer:

14

Step-by-step explanation:

5x = 70

x = 14

Answer:

The answer is option 1.

Step-by-step explanation:

Given that total angles in a quadrilateral is 360°. So in order to find x, you have to substract the remaining angles from 360° :

[tex]5x + 110 + 110 + 70 = 360[/tex]

[tex]5x + 290 = 360[/tex]

[tex]5x = 360 - 290[/tex]

[tex]5x = 70[/tex]

[tex]x = 70 \div 5[/tex]

[tex]x = 14[/tex]

Answer:

I couldn't understand your question, please send once more

Answer: GCF = 3

~~~~~~~~~~~~

Hope this helps!

Answer:

169.59

Step-by-step explanation:

Solution,

Radius(r)=3

Height (h)=6

Volume of cylinder= pi r^2 h

= 3.14*(3)^2*6

= 3.14*9*6

=169.56 units^3

Hope it helps

Good luck on your assignment

Answer:

The gravity of the Moon is about one sixth that of the Earth. For example, an astronaut weighing 180 pounds on the Earth would weigh about 30 pounds on the Moon.

Answer:

1900 copies sold to date

Step-by-step explanation:

you need to find the value of 6.2% of 32100

To do this:

6.2  ÷  100

= 0.062

0.062 x 32100

= 1990.2

However, it's not possible to have .2 of a copy, so your round down

The answer is 1900 copies.

Hope it helped :)

Answer: amplitude

Step-by-step explanation: The amplitude represents half the distance between the maximum of a sine or cosine graph.

The solution is Option B.

The amplitude represents half the distance between the maximum of a sine or cosine graph

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the distance between the maximum of a sine or cosine graph be A

Now , the maximum of sine graph is when θ = 90°

So , sin 90° = 1

The sine function ranges between -1 and 1, so the minimum is -1 and the maximum is 1

And , the maximum of cos graph is when θ = 360°

So , cos 360° = 1

Maximum value of cos θ is 1 when θ = 0˚, 360˚. Minimum value of cos θ is –1 when θ = 180 ˚.

Hence , amplitude represents half the distance between the maximum of a sine or cosine graph

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Answer:

3

Step-by-step explanation:

.-.-.-.-.

Answer:

2

Step-by-step explanation:

1 +1=2

Answer:

2

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

The total number of trees is

567+324+156+89+678 =1814

Percent fir = 567/1814 = .312568908=31.26 %

Percent pine = 324/1814 = .178610805=17.86%

Percent larch = 156/1814 =.085997795=8.60%

percent cedar = 89/1814 =.049062845=4.91%

Percent hemlock = 678/1814 = .373759647=37.38%

The total should be 100 %

31.26+17.86+8.60+4.91+37.38=100.01  ( rounding error because we rounded to the hundredths place)

Answer:

15A.)

1814 total trees

15B.)

Fir: 31.256890849%

Pine: 17.861080485%

Larch: 8.599779492%

Cedar: 4.906284454%

Hemlock: 37.375964718%

Step-by-step explanation:

15A.) For this first part, you would add all the trees together to get the total:

567+324+156+89+678 = ?

891+156+89+678 - Add 567 and 324 together.

1047+89+678 - Add 891 and 156 together.

1136+678 - Add 1136 and 678 together.

=1814 total trees

15B.) For this second part, you would divide each tree type (567, 324, 156, 89, 678) by the total trees (1814). To convert the decimal to a percent, you would move the decimal point to places to the right. Not sure how many decimal places you wanted for each percent, so I gave the full decimal for you to round as you please on your answer.

Fir: 567/1814 = 0.31256890849 = 31.256890849%

Pine: 324/1814 = 0.17861080485 = 17.861080485%

Larch: 156/1814 = 0.08599779492 = 8.599779492%

Cedar: 89/1814 = 0.04906284454 = 4.906284454%

Hemlock: 678/1814 = 0.37375964718 = 37.375964718%

Answer:

Only Joe is correct

Step-by-step explanation:

We can infer this by looking at the ratio provided. The ration states that for every 2 men there are 7 women. It doesn't specify the total. So using this ration we get the answer that for every 1 man there are 3 1/2 women which is equal to Joe's answers.

Answer:

[tex]C[/tex]

Step-by-step explanation:

Jo is right. There are 3.5 times as many women as men.

[tex]2 \times 3.5 = 7[/tex]

Paul is right. 2 in 7 people are men.

[tex]2 : 7[/tex]

Answer:

(-2/3) (5 2/4)  Negative

(4 5/9) (4/5) Positive

(-6 3/4) (-7 1/11) Positive

Step-by-step explanation:

There are two simple rules to remember: When you multiply a negative number by a positive number then the product is always negative. When you multiply two negative numbers or two positive numbers then the product is always positive.

(-2/3) (5 2/4)  Negative

(4 5/9) (4/5) Positive

(-6 3/4) (-7 1/11) Positive

The solution is given below:-

(-2/3) (5²/₄)  Negative

(4⁵/₉) (4/5) Positive

(-6³/₄) (-7¹/₁₁) Positive

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

The product is always negative when a negative integer is multiplied by a positive number. The result is always positive whether you multiply two negative or positive numbers.

The multiplication will be done as:-

(-2/3) x (5²/₄) = ( -44 / 12 ) Negative

(4⁵/₉) x (4/5) = ( 164 / 45 ) Positive

(-6³/₄) x  (-7¹/₁₁) = ( 2106 / 44 ) Positive

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Answer:

17

Step-by-step explanation:

Let the number of 2 point shots be t.

Let the number of 3 point shots be h.

Allison made 87 shots and scored 191 total points. This implies two things:

t + h = 87 ________(1)

2t + 3h = 191 ______(2)

Let us eliminate t by multiplying (1) by 2 and subtracting from (2):

=> 2t + 3h = 191

 -  2t + 2h = 174

               h  = 17

Therefore, she made 17 three point shots.

Answer:

2827 cubic centimetre

Step-by-step explanation:

The cup is cylindrical in shape and it is full to the top.

The height of the cup is 15 cm and its diameter is 8 cm (radius = 4 cm).

The volume of a cylinder is given as:

[tex]V = \pi r^2h[/tex]

where r = radius

h = height

The volume of the liquid in the cup is:

[tex]V = \pi * 15^2 * 4[/tex]

V = 2827.43 cubic centimetre ≅ 2827 cubic centimetre

Answer:

n = 4

Step-by-step explanation:

To solve for n, you need to undo what is being done to the variable. Since n is being multiplied by 5, you must divide both sides of the equation by 5.

1. (5n)/5 = 20/5

2. n = 4

Hope this helps! (Please consider giving brainliest)

[tex]5n=20[/tex]

Divide 5 from both sides.

[tex]5n/5=20/5[/tex]

[tex]n[/tex] does not have a coefficient now.

[tex]n=4[/tex]

Answer:

[tex]C=31.42[/tex]

[tex]A=78.55[/tex]

Step-by-step explanation:

[tex]C=2\pi r[/tex]

[tex]C=2 \times 3.142 \times 5[/tex]

[tex]C=31.42[/tex]

[tex]A=\pi r^{2}[/tex]

[tex]A=3.142 \times 5^{2}[/tex]

[tex]A=3.142 \times 25[/tex]

[tex]A=78.55[/tex]

Answer:

x^2+7x+12

Step-by-step explanation:

(x+3) (x+4)

FOIL

first: x*x = x^2

outer: 4x

inner: 3x

last: 3*4 =12

Add them together

x^2 +4x+3x+12

x^2+7x+12

x^2 + 7x + 12

or A

Hope this helpsss

Answer:

$4080

Step-by-step explanation:

We have the amount she will pay back, but first, we need to find the Interest accrued.

Simple Interest is given as:

[tex]I = \frac{P * R * T }{100}[/tex]

where P = principal

R = rate

T = time taken (in years)

Therefore, the interest on $3,000 at 9%  simple interest for 4 years is:

[tex]I = \frac{3000 * 9 * 4}{100}[/tex]

I = $1080

Therefore, the amount she will pay back is:

$3000 + $1080 = $4080

Answer:

(x,y)  --->  (x - 3, y + 5).

Step-by-step explanation:

The x coordinates are moved 3 to the left (negative) and the y coordinates are moved 5 units up (positive y).

it's A) (x,y) → (X-3, y + 5) on edge 2020

Answer:

Its d or option 4

Step-by-step explanation:

A 2-column table with 4 rows. Column 1 is labeled x with entries 2, 4, 6, 8. Column 2 is labeled y with entries negative 4, negative 12, negative 20, negative 28. Hope this helps :)

Answer:

D

Step-by-step explanation:

Answer:

[tex]x=\frac{1}{4}h-\frac{1}{2} -3y[/tex]

Step-by-step explanation:

[tex]h = 4 ( x + 3y ) + 2[/tex]

[tex]h-2=4(x+3y)[/tex]

[tex]4(x+3y)=h-2[/tex]

[tex]x+3y=\frac{h-2}{4}[/tex]

[tex]x=\frac{h-2}{4}-3y[/tex]

Answer:

1) Reflection in the x-axis

A' = (-2, -3)

2) Rotation of 180° clockwise about the origin

A'' = (2, 3)

3) Translation of 3 units down and 4 units to the right

A''' = (6, 0)

Step-by-step explanation:

The transformations are as follows;

1) Reflection in the x-axis

Here the x-coordinate is the same and the y-coordinate changes sign.

Therefore, we have;

A (-2, 3)

After reflection in the x-axis becomes A' = (-2, -3)

2) Rotation of 180° clockwise about the origin

When, a point (x, y) is rotated 180° clockwise about the origin, it becomes (-x, -y)

Therefore, we have;

A' = (-2, -3) becomes A'' = (2, 3)

3) Translation of 3 units down and 4 units to the right

Translation of 3 units down and 4 units to the right = [tex]T_{(4, -3)[/tex]

Which gives

A''' = (2 + 4, 3 - 3) = (6, 0).