the factor of 12 are ...............​

Answers

Answer 1

Answer:

1, 2, 3, 4, 6, and 12

Step-by-step explanation:

Answer 2

Answer:

1,2,3,4,6,12

Step-by-step explanation:

because they divide the numbers without any remainder.


Related Questions

An object travels along the x-axis so that its position after t seconds is given by x(t) = 2t2 – 5t – 18 for all times t such that t ≥ 0.

Which inequality describes all times t for which the object is traveling toward the right?

Answers

the function is given, and it's value is where the object is ("how far to the right").

so as long as it rises (going more right), this will be apply.

in the screenshot I graphed the function. of course t is graphed as x and "along the x-axis" is graphed as y, but the pattern is the same anyways.

for the first 1.25 seconds the object goes to the left, and after that always to the right.

since we look at t to calculate x, t effectively takes the role of the important variable that is normally given to x. the calculation pattern are just the same. so let's find the lowest point of this function by calculating it out.

x(t) = 2t² – 5t – 18

x'(t) = 4t -5

x'(t) = 0

0 = 4t -5

5 = 4t

1.25 = t

plugging it into the second derivative

x''(t) = 4

x''(1.25) = 4

it's positive, so at t=1.25 there is a low point

(of course the second derivative is constant anyways.)

the object is traveling toward the right

the object is traveling toward the rightfor t > 1.25

The object is moving to the right, for t > 1.25, the object is moving in a rightward direction.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

An object travels along the x-axis so that its position after t seconds is given by:

x(t) = 2t² – 5t – 18

x'(t) = 4t - 5

x'(t) = 0

4t -5 = 0

t = 5/4 = 1.25 seconds

x''(t) = 4

x''(1.25) = 4

x''(1.25) > 0

At t = 1.25 the object travels at a low point.

Thus, the object is moving to the right, for t > 1.25, the object is moving in a rightward direction.

Learn more about the inequality here:

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Quy tắc suy luận nào là cơ sở của suy diễn sau: "Biết rằng: 2 đường thẳng d và d' song song hoặc cắt nhau. Ta đã có d không song song với d'. Vậy d cắt d'
Select one:
a. Luật loại trừ
b. Luật rút gọn
c. Luật phản chứng
d. Luật tách rời

Answers

Answer: a

Step-by-step explanation:

construct the truth table (p ∧ q) =⇒ [(q ∧ ¬p) =⇒ (r ∧ q)]​

Answers

[tex]\begin{array}{c|c|c|c|c|c} p & q & r & p\land q & q\land \neg p & r \land q \\&&&&\\ T & T & T & T & F & T \\ T & T & F & T & F & F \\ T & F & T & F & F & F \\ T & F & F & F & F & F \\ F & T & T & F & T & T \\ F & T & F & F & T & F \\ F & F & T & F & F & F \\ F & F & F & F & F & F\end{array}[/tex]

An implication A => B is true if either A is false, or both A and B are true. So

[tex]\begin{array}{c|c|c}p\land q & (q\land\neg p) \implies (r\land q) & (p\land q) \implies \big[(q\land\neg p) \implies (r\land q)\big] \\&&\\T & T & \mathbf T\\T & T & \mathbf T\\F & T & \mathbf T\\F & T & \mathbf T\\F & T & \mathbf T\\F & F & \mathbf T\\F & T & \mathbf T\\F & T & \mathbf T\end{array}[/tex]

and the given statement is a tautology.

Determine what type of model best fits the given situation:

A. linear
B. exponential
O c. quadratic
D. none of these
Reset Selection

Answers

C. Quadratic. The graph is a parabola

For the inequality 4 < -x^2– y, where is the graph shaded and is the curve solid or dotted"

Answers

answer=

X<-4

.............................................................

ANSWER PLEASE I think it's 6 but it's just to much thinking A

Answers

Answer:

C. [tex]5\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]1\frac{1}{2}[/tex] cups of milk makes 1 quart of yogurt.

x cups  of milk makes [tex]3\frac{1}{2}[/tex] quarts of yogurt.

[tex]\frac{milk}{yogurt}= \frac{1\frac{1}{2} }{1} =\frac{x}{3\frac{1}{2} }[/tex]

Cross multiply.

[tex]1\frac{1}{2}[/tex] × [tex]3\frac{1}{2}[/tex] = 1 × x

You get:

[tex]5\frac{1}{4} =x[/tex]

I hope this helps!

pls ❤ and mark brainliest pls!

A veggie wrap at David's Deli is composed of 33 different vegetables and 22 different condiments wrapped up in a tortilla. If there are 66 vegetables, 66 condiments, and 55 types of tortilla available, how many different veggie wraps can be made

Answers

Answer:

The answer is "[tex]7.21 \times 10^{37}[/tex]".

Step-by-step explanation:

[tex]\to ^{n}_{C_r}=\frac{n!}{r!(n-r)!}[/tex]

       [tex]=^{66}_{C_{33}} \times ^{66}_{C_{22}} \times ^{55}_{C_{1}} \\\\=\frac{66!}{33! (66-33)!} \times \frac{66!}{22! (66-22)!} \times \frac{55!}{1! (55-1)!}\\\\=\frac{66!}{33! (33)!} \times \frac{66!}{22! (44)!} \times \frac{55!}{1! (54)!}\\\\=\frac{66!}{33! (33)!} \times \frac{66!}{22! (44)!} \times \frac{55\times 54!}{1! (54)!}\\\\=\frac{66!}{33! (33)!} \times \frac{66!}{22! (44)!} \times 55\\\\= 7219428434016265740 \times 182183167981760400\times 55\\\\[/tex]

       [tex]= 7.21 \times 10^{18} \times 1.82\times10^{17}\times 55\\\\= 7.21 \times 10^{35} \times 1.82\times 55\\\\=721.721 \times 10^{35}\\\\=7.21\times 10^{37}[/tex]

Help with this please!!!!!!!!!!!!!!

Answers

Answer:

A is the correct answer :)

Answer:

A

Step-by-step explanation:

checking if A is correct, if we get x as 76 then it is correct

if 5miles = 8 kilometers

47.5 miles= x

that is

5=8

47.5=x

cross multiply

5x=380

x=380/5

x=76

there fore A is correct

checking if B is correct, if we get x as 86 then it is correct

if 5miles = 8 kilometers

52.5 miles= x

that is

5=8

52.5=x

cross multiply

5x=420

x=420/5

x=84

therefore B is incorrect

checking if C is correct, if we get x as 34 then it is correct

if 5miles = 8 kilometers

22.5 miles=x

that is

5=8

22.5=x

Cross multiply

5x=180

x=180/5

x=36

therefore C is incorrect

checking if D is correct, if we get x as 22 then it is correct

if 5miles = 8 kilometers

12.5miles = x

that is

5=8

12.5=x

5x=100

x=100/5

x= 20

The midpoint of has coordinates of (4, -9). The endpoint A has coordinates (-3, -5). What are the coordinates of B?

Answers

9514 1404 393

Answer:

  (11, -13)

Step-by-step explanation:

If midpoint M is halfway between A and B:

  M = (A +B)/2

Then B is ...

  B = 2M -A

  B = 2(4, -9) -(-3, -5) = (8+3, -18+5)

  B = (11, -13)

Answer:

Use the midpoint formula:

[tex]midpoint=(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})[/tex]

Endpoint A = (x₁, y₁) = (-3, -5)Endpoint B = (x₂, y₂)Midpoint = (4, -9)

Substitute in the values:

[tex](4, -9)=(\frac{-3+x_{2}}{2} +\frac{-5+y_{2}}{2} )[/tex]

[tex]4=\frac{-3+x_{2}}{2} \\4(2)=-3+x_{2}\\8+3=x_{2}\\x_{2}=11[/tex]      [tex]-9=\frac{-5+y_{2}}{2} \\(-9)(2)=-5+y_{2}\\-18+5=y_{2}\\y_{2}=-13[/tex]

Therefore, Point B = (11, -13)

Can someone please help solve this equation thank you

Answers

Answer:

A and B

Step-by-step explanation:

Both points are in the shaded/blue zone

I hope this helps!

pls ❤ and give brainliest pls

Answer:

Yea both A and B are correct.

Step-by-step explanation:

if you can see you can put (-12,0) inside the shaded triangle also for (-10,1)

you can give brainlist to the person above :D

Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] $ y = e^{{\color{red}5}\sqrt{x}} $

Answers

Answer:

The answer is "[tex]\frac{5 e^{5\sqrt{x} }}{2\sqrt{x}}[/tex]".

Step-by-step explanation:

Given:

[tex]y = e^{{\color{\red}5}\sqrt{x}}[/tex]

let

[tex]\to t= 5\sqrt{x}\\\\\frac{dt}{dx}= 5 \frac{1}{2\sqrt{x}}\\\\\frac{dt}{dx}= \frac{5}{2\sqrt{x}}\\\\[/tex]

and

[tex]\to y=e^t\\\\\to \frac{dy}{dt}=e^t\\[/tex]

[tex]\to \frac{dy}{dt}=e^{5\sqrt{x} }\\[/tex]

So,

[tex]\to \frac{dy}{dx}= \frac{dy}{dt} \times \frac{dt}{dx}[/tex]

         [tex]=e^{5\sqrt{x} }\times \frac{5}{2\sqrt{x}}\\\\= \frac{5 e^{5\sqrt{x} }}{2\sqrt{x}}[/tex]

OR

[tex]\to g(x) = 5\sqrt{x} \\\\\to f(x) = e^{(x)}\\\\[/tex]

Derivate:  

[tex]\to f''g' = \frac{e^{(5\sqrt{x})}5}{(2\sqrt{x})}[/tex]

Most of the heat loss for outdoor swimming pools is due to surface
evaporation. So, the greater the area of the surface of the pool, the greater
the heat loss. For a given perimeter, which surface shape would be more
efficient at retaining heat: a circle or a rectangle? Justify your answer.

Answers

Answer:

rectangle

Step-by-step explanation:

Perimeter of 20 feet

rectangle (square is technically a rectangle):

sides 5 and 5

5*5 = 25ft²

Circle:

20/(2π) = 3.18309...

3.1809...²π = 31.831ft²

Max area of rectangle (i.e. square) has a smaller area than a circle.

why is (3, -5) not a solution to -x+4=-15 and -2x-3y=-8

Answers

Step-by-step explanation:

-x+4y= -15

-2x-3y=-8

the intersection point isn't (3,-5)

it's approximately (-1.1818 ,3.45455 )

Answer:

see below

Step-by-step explanation:

Check the solution in both equation

-x+4 = -15

-3 +4 = -15

1 does not equal -15 so it is not a solution

-2x-3y = -8

-2(3)+-3(-5) = -8

-6 +15 = -8

9 = -8

It is not a solution to either equation

A box contains 100 tickets labeled with numbers. The average of the labels is 14 and the SD of the labels is 8.2. Eighteen tickets will be drawn independently at random with replacement from the box. The chance that the absolute value of the difference between the sample sum of the labels on the tickets and 252 does not exceed 278.32 is: __________

Answers

Answer:

at most

Step-by-step explanation:

The sample drawn from the population is a relative representation not the absolute representation. The box has 100 tickets in it and sample of tickets is selected to identify difference between sample sum and 252. The at most value for the sample sum can be 278.32 and value cannot exceed beyond this.

if chaka,ada and ese are to share 120 oranges with the ratio of 1:2:3 respectively. How many oranges does ada have?.​

Answers

Answer:

40

Step-by-step explanation:

1+2+3=6

1/6×120=20

2/6×120=40

3/6×120=60

look at the image below plz correct answers Surface area of cones 15 points

Answers

Answer:

[tex]A\approx 282.7\ m^2[/tex]

Step-by-step explanation:

1. Approach

The easiest method to solve this problem is to use the Pythagorean theorem to find the height of the cone. Then one can substitute the values given and found on the cone into the formula to find the surface area in order to solve for the surface area of the given cone.

2. Height of the cone

Imagine drawing a line from the tip of the cone down to the center of the base. This line will form a right angle with the base, thus, a right triangle is formed between the line, the radius (the distance from the center to the circumference or outer edge on a circle) of the base, and the incline of the cone. The Pythagorean theorem is a formula that relates the sides of a right triangle. This formula is as follows:

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) are the legs or the sides adjacent to the right angle of the right triangle, and (c) is the hypotenuse or the side opposite the right angle of the right triangle. Substitute the given values into the formula and solve for the unknown, or rather the height of the cone:

[tex]a^2+b^2=c^2[/tex]

[tex]a^2+5^2=13^2[/tex]

Simplify,

[tex]a^2+5^2=13^2[/tex]

[tex]a^2+25=169[/tex]

Inverse operations,

[tex]a^2+25=169[/tex]

[tex]a^2=144[/tex]

[tex]a=12[/tex]

[tex]h=12[/tex]

3. Find the surface area of the cone.

The following formula can be used to find the surface area of a cone:

[tex]A=\pi r(r+\sqrt{h^2+r^2})[/tex]

Where ([tex]\pi[/tex]) represents the numerical value (3.1415...), (r) represents the radius of the base, and (h) represents the height of the cone. Substitute the given values into the formula and solve for the surface area:

[tex]A=\pi r(r+\sqrt{h^2+r^2})[/tex]

[tex]A=\pi 5(5+\sqrt{12^2+5^2})[/tex]

Simplify,

[tex]A=\pi 5(5+\sqrt{12^2+5^2})[/tex]

[tex]A=\pi 5(5+\sqrt{144+25})[/tex]

[tex]A=\pi 5(5+\sqrt{169})[/tex]

[tex]A=\pi 5(5+13)[/tex]

[tex]A=\pi 5(18)[/tex]

[tex]A=\pi 90[/tex]

[tex]A\approx 282.743[/tex]

The surface area of a cube is 27^2. Calculate the length of the sides of the cube

Answers

Answer:

Step-by-step explanation:

Do you mean 27 units² ?

A cube has six congruent, square faces. Area of one face = (27/6) units²

Length of one edge = √(27/6)

= √(9/2)

= √9/√2

= 3/√2

= 3√2/2 units

Solve (2x – 1)2 = 9. Question 11 options: A) x = 2, –1 B) x = 2, 1 C) x = –2, –1 D) x = –2, 1

Answers

Answer:

(2x – 1)2 = 9

4x-2=9

4x=9+2

4x=11

x=11/4

x=2.75

commission received

Answers

Yes commission has been received

Answer:

Commission Received refers to a percentage amount received by the company (or) an individual on the total sales incurred. It is an indirect income/revenue recorded on the credit side of profit and loss account.

Step-by-step explanation:

mark me brainliest if my answer is correct

Which of the following theorems verifies that ANPO- AXYZ?

Answers

AA, cause they’ve given you two angles already
AA, both angles were given

Cristina is sending out thank you cards for birthday presents. She has pink (P), blue (B), and green (G) cards, and white (W) and yellow (Y) envelopes to send them in. She chooses a card and an envelope at random for each person. What is the sample space for possible combinations? Enter a list of text [more] Enter each outcome as a two-letter "word", with the first letter for the card and the second letter for the envelope. For example, PW would be a pink card in a white envelope. Separate each element by a comma.​

Answers

Answer:

PW, BW,  GW, PY,  BY, GY

Step-by-step explanation:

We need to determine the sample space

pink(P), blue (B), and green (G) cards,   (W) and yellow (Y) envelopes

Each color card can match with each color envelope

Start with the white envelopes and each color card

and then the yellow envelopes with each color card

PW   BW  GW

PY  BY   GY

Alejandro wants to determine how much money he made in the last month after taxes, social security, and Medicare were taken out of his paycheck. What number should he look at on his paystub? O a) Federal tax amount b) Net pay O c) Gross pay O d) Deductions

Answers

Answer:

absolutely B

Step-by-step explanation:

A is one type of tax

C) gross pay includes taxes, social security and something else

D) deductions are the type of fee

and B is the amount of money that he received

Alejandro should look at Net pay on his paystubs the answer is Net pay option (b) is correct.

What is the income tax rate?

It is defined as the tax rate applied on the solely earned money by a single entity.

It is given that:

Alejandro wants to determine how much money he made in the last month after taxes, social security, and Medicare were taken out of his paycheck.

The options are:

A) Federal tax amount

The Federal tax amount is one type of tax.

C) Gross pay

The gross pay includes taxes, social security, and other charges

D) Deductions

The deductions are the type of fee or negative amounts.

Alejandro should look at Net pay on his paystubs.

Thus, Alejandro should look at Net pay on his paystubs the answer is Net pay option (b) is correct.

Learn more about the income tax here:

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NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW. Find each measurement indicated. Round your answers to the nearest tenth. Part 3ddd​

Answers

Answer:

see below

Step-by-step explanation:

7.  We can use the law of sines to solve

sin C         sin B

-------- = ----------

AB              AC

sin 45       sin 32

--------- = ----------

AB            6

Using cross products

6 sin 45 = AB sin 32

6 sin 45 / sin 32 = AB

8.00620 = AB

To the nearest tenth

8.0= AB

9.    We can use the law of sines to solve

sin A         sin B

-------- = ----------

CB              AC

sin A       sin 88

-------- = -----------

13             15

Using cross products

15 sin A = 13 sin 88

sin A = 13/15 sin 88

Taking the inverse sin of each side

sin^-1(sin A) = sin ^-1 (13/15 sin88)

A = 60.01298726

To the nearest tenth

A =60.0

What is the equation of the following graph?

Answers

Answer:

y=0.5x + 5

Step-by-step explanation:

The points are (0,5) and (-10,0)

to find the slope do

0-5/-10-0 = 5/10 = 1/2 = 0.5

next plug one of the points into point slope formula

y-y1=m(x-x1)

lets use the point (-10,0)

y1=0

x1= -10

m= 0.5

y-0=0.5(x- -10)

y = 0.5(x+10)

distribute the 0.5

y=0.5x+5

A retailer sold a fan for ra 1800 at 10% loss what is its cost price?
How to do

Answers

Answer:

18

thả 5 sao nha.....

Step-by-step explanation:

..................

18:) 1800 divided by 10%

Quadrilateral JKLM is rotated - 270° about the origin.
Draw the image of this rotation

Need a visual answer please! Thanks!

Answers

Answer:

Step-by-step explanation:

When the quadrilateral JKLM is rotated - 270° about the origin then the image of rotated quadrilateral is shown below.

What is rotation?

"It is a transformation in which the object is rotated about a fixed point. "

For given question,

Quadrilateral JKLM is rotated - 270° about the origin.

This means, quadrilateral JKLM is rotated 270° clockwise about the origin.

We know, if point P(x, y) is rotated 270° clockwise or 90° anticlockwise then  the coordinated of rotated point would be (-y, x).

From figure, the coordinates of the quadrilateral JKLM are:
J = (3, 3)

K = (5, -5)

L = (-3, -7)

M = (3, -3)

After rotating -270° about the origin the coordinates of the quadrilateral would be,

J' = (-3, 3)

K' = (5, 5)

L' = (7, -3)

M' = (3, 3)

And the image of the rotated quadrilateral J'K'L'M' is shown below.

Therefore, when the quadrilateral JKLM is rotated - 270° about the origin then the image of rotated quadrilateral is shown below.

Learn more about rotation here:

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Damaged items are marked down 25% to 40%. A newspaper coupon holder; to an additional 10% markdown of the new price due to the damage. What is the lowest price of a damaged item that was originally marked GHC100?
A GHC 35.60
B GH 5000
C. GHC 18.00
D. GHC 40.80
E GHC 23.40​

Answers

Markdown is the difference (at sale) between the price an item is placed at for retail sale, and the actual price the item is sold

The correct option is; B. GHC 50.00

The reason for choosing option B is as follows;

The known parameters

The percentage by which damaged items are marked down = 25% to 40%

The percentage markdown offered by the newspaper coupon = 10%

The original marked price of the item = GHC 100

Strategy:

Apply the damaged items and coupon markdown percentages to the original marked price of GHC100 sum the results to find the total markdown

Solution:

Markdown due to damage:

Given that the item is damaged, to have the lowest price, we apply the largest markdown of 40%;

40% is removed from the price to which the item marked down due to damage, as follows;

The markdown due to damage = 40/100 × GHC 100 = GHC 40

Markdown due to Coupon Holder:

The markdown the coupon holder is to get = 10% off the retail price

Given that the damage is not mentioned in the newspaper, we have;

∴ The markdown the coupon holder is to get = 10/100 × GHC 100 = GHC 10

Total markdown:

The total markdown is therefore equal to GHC 40 + GHC 10 = GHC 50

The Lowest Price of A Damaged Items marked GHC100:

The lowest price of the item = Original price - Maximum markdown

The lowest price of the item = GHC 100 - GHC 50 = GHC 50

Learn more about markdown and markup concepts here;

https://brainly.com/question/20705786

NEED HALP!!! Find the ordered pair $(s,t)$ that satisfies the system

Answers

Answer:

(-8/7 ; 5/7)

Step-by-step explanation:

5t + 1/2s = 3 - - - (1)

3t - 6s = 9 - - - - - (2)

Multiply (1) by 12 and (2) by 1

Add the result to eliminate s

60t + 6s = 36

3t - 6s = 9

____________

63t = 45

t = 45 / 63

t = 5/7

Put t = 5/7 in either (1) or (2) to obtain the value of s

3(5/7) - 6s = 9

15/7 - 6s = 9

-6s = 9 - 15/7

-6s = (63 - 15)/7

-6s = 48/7

s = 48/7 * - 1/6

s = - 8/7

Integrate the following. ∫[tex]84dx[/tex]

Answers

Answer:

[tex]\displaystyle \int {84} \, dx = 84x + C[/tex]

General Formulas and Concepts:

Calculus

Integration

IntegralsDefinite/Indefinite IntegralsIntegration Constant C

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int {84} \, dx[/tex]

Step 2: Integrate

[Integral] Rewrite [Integration Property - Multiplied Constant]:                 [tex]\displaystyle \int {84} \, dx = 84\int {} \, dx[/tex][Integral] Reverse Power Rule:                                                                     [tex]\displaystyle \int {84} \, dx = 84x + C[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Integrations

PLEAZE HELPPPPPPPPPP

Answers

41 is your answer
Check the image below
I think the answer is 41?
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Why do some guitar notes look box shaped Which religion allowed women to preach andspeak out during church services?DONEPrevious ActivityHELP PLEASE ITS 25 POINTS Which of the following would allow you to find the volume of an irregular shaped solid object?a: triple beam balance b: l b hc: water displacement d: hight length width what is a measureing tape used for 5. Make a conjecture about the line that contains the diagonal from the tip of the vertex of the tail of a dart and the diagonal that joins the fin angles. (06.01 MC)Part 1. A glass bottle, which is half-filled with water, has a balloon attached to itsopening. The bottle is placed in a hot water bath for some time. Explain the changeto the size of the balloon based on the kinetic molecular theory.Part 2. What would most likely happen to the balloon if the bottle was then placedinto a jar of cold water with ice cubes? Explain your answer based on the kineticmolecular theoryIn both cases, assume the balloon is attached tightly enough so that air does notescape the system. (10 points) what are the types of human grafts.somebody help Meg is 6 years older than Victor. Meg's age is 2 years less than five times Victor's age. The equations below model the relationship between Meg's age (m) and Victor's age (v):m = v + 6m = 5v 2Which is a possible correct method to find Meg's and Victor's ages? Solve m + 6 = 5m 2 to find the value of m. Write the points where the graphs of the equations intersect the x axis. Solve v + 6 = 5v 2 to find the value of v. Write the points where the graphs of the equations intersect the y axis. Which expression is equivalent to 5(w+4) when w= 9?519)9(5)5(9)+4O 5(9)+20 Express the following as ONE fraction:(( b - c )/ b ) + (b / ( b + c )) absolute potential difference ,due of point charge of 1C at a distance of 1 m is given by find all complex numbers z such that z^2=2iplease answer in a+bithank you heat from the sun comes on the earth by how success and failure in practice of management affect organization? Read the excerpt from "Speaking Arabic."At a neighborhood fair in Texas, somewhere between the German Oom-pah Sausage Stand and the MexicanGorditas booth, I overheard a young man say to his friend, "I wish I had a heritage. Sometimes I feel-SOlonely for one." And the tall American trees were dangling their thick branches right down over his head.Which best explains how Nye's word choice helps establish her voice in the excerpt?Nye uses short, forceful words to support her opinion that an American heritage is limited and mechanicalO Nye describes a neighborhood fair to support her opinion that the idea of an American heritage does not existNye creates a powerful image of trees to support her opinion that living among a variety of cultures is an AmericanheritageNye directly quotes something she heard in order to express her distress over a lack of American heritage.NextMark this and returnSave and ExitSubmit What is the justification for step 2 in the solution process? 10x 25 3x = 4x 1 Step 1: 7x 25 = 4x 1 Step 2: 7x = 4x + 24 Find the value of x in the equation below. Help pls I need to pass Was that well done? said the Eldest Magician.Yes, said the Man. But now we must go back to Perak, and that is a weary way to paddle. If we had waited till Pau Amma had gone out of Pusat Tasek and come home, the water would have carried us there by itself.You are lazy, said the Eldest Magician. So your children shall be lazy. They shall be the laziest people in the world. They shall be called the Malazythe lazy people; and he held up his finger to the Moon and said, O Fisherman, here is the Man too lazy to row home. Pull his canoe home with your line, Fisherman.No, said the Man. If I am to be lazy all my days, let the Sea work for me twice a day for ever. That will save paddling.And the Eldest Magician laughed and said, Payah kun (That is right).And the Rat of the Moon stopped biting the line; and the Fisherman let his line down till it touched the Sea, and he pulled the whole deep Sea along, past the Island of Bintang, past Singapore, past Malacca, past Selangor, till the canoe whirled into the mouth of the Perak River again. Kun? said the Fisherman of the Moon.Payah kun, said the Eldest Magician. See now that you pull the Sea twice a day and twice a night for ever, so that the Malazy fishermen may be saved paddling. But be careful not to do it too hard, or I shall make a magic on you as I did to Pau Amma.Then they all went up the Perak River and went to bed, Best Beloved.From that day to this the Moon has always pulled the sea up and down and made what we call the tides. Sometimes the Fisher of the Sea pulls a little too hard, and then we get spring tides; and sometimes he pulls a little too softly, and then we get what are called neap-tides; but nearly always he is careful, because of the Eldest Magician.Which conclusion about the Eldest Magician does this excerpt support?The Eldest Magician has a good sense of humor.The Eldest Magician does not like human beings.The Eldest Magician likes to order people around.The Eldest Magician is insecure and needs approval. Use the Chain Rule to find dw/dt.w = xey/z, x = t3, y = 7 t, z = 8 + 4tdwdt =