Simplify the following expression by combining like terms: *
-2g - 8 +5g - 5

Quick answer, without using series: sin(4π/5) must be positive since 0 < 4π/5 < π. So C is the only possible choice.

Longer, proper answer:

The first five terms in the series expansion of sin(x) are

sin(x) ≈ x - x ³/3! + x ⁵/5! - x ⁷/7! + x ⁹/9!

Now let x = 4π/5:

sin(4π/5) ≈ 0.5884

so again the answer must be C.

Trigonometric series :  A mathematical series whose terms proceed by sine and cosines of integral multiples of a variable angle.

Option c is correct.

First five term of Trigonometric series of sin is shown below,

   [tex]sin x=x-\frac{x^{3}}{3!}+\frac{x^{5}}{5!}-\frac{x^{7}}{7!}+\frac{x^{9}}{9!}-......[/tex]

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

  [tex]sin \frac{4\pi }{5}=\frac{4\pi }{5}-\frac{(\frac{4\pi }{5})^{3}}{3!}+\frac{(\frac{4\pi }{5})^{5}}{5!}-\frac{(\frac{4\pi }{5})^{7}}{7!}+\frac{(\frac{4\pi }{5})^{9}}{9!}-......[/tex]

After solving,

We get, approximation value of    [tex]sin\frac{4\pi }{5}=0.5884[/tex]

Now find , actual value

              [tex]sin\frac{4\pi }{5}=0.5878[/tex]

Learn more:

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Answer:

StartFraction 1 Over 16 EndFraction of a pound

Step-by-step explanation:

Total pounds of sunflower seeds Jordan bought = 9/16 of a pound

Number of snack bags for his lunch = 9

What is the weight of sunflower seeds in each snack bag?

Weight of sunflower seeds in each snack bag = Total pounds of sunflower seeds Jordan bought / Number of snack bags for his lunch

= 9/16 ÷ 9

= 9/16 × 1/9

= (9*1) / (16*9)

= 9 / 144

= 1/16

Weight of sunflower seeds in each snack bag = 1/16 of a pound

Answer:

1/16 of a pound aka A is the correct answer.

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

18+3|6-25|-11

21+19-11

29

Answer:

2187

Step-by-step explanation:

[tex]3^{6}[/tex] × 3

729 × 3

2187

Answer:

l maooooooo but ill help

its 2187

Step-by-step explanation:

use pemdas ( parenthasis, exponents, multiplication, division, add, subtract) and do 3^6 first

3x3x3x3x3x3=9x9x9=81x9=729

729x3=2187

Answer:

n+5

Step-by-step explanation:

This is according to the commutative property of addition. 5+n is n+5 written backwards.

Answer:

541/2 square

Step-by-step explanation:

What is the volume of the box if it is scaled down by a factor of 1/10

we know that

the volume of the smaller box=[scale factor]³*volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³

the answer part 6) is

5.12 cm³

Answer:

1 is 15

2  the formula of a  trapizod and the are is 35

Step-by-step explanation:

A=a+b2h=2+5 2·10=35

have a good day/night

may i please have a branlliest

Answer:

1) 15

2) formula is y=1/2(5+2)10, area is 35 square miles

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

[tex]A=339.42\ cm^2[/tex]

Step-by-step explanation:

The diameter of the roll of paper, d = 4.5 cm

Radius, r = 2.25 cm

Height of the roll of papaer, h = 24 cm

We need to find how much is needed to make the inner tube for a roll of paper. The surface area of a cylinder for inner tube is given by :

[tex]A=2\pi r h\\\\=2\times \dfrac{22}{7}\times 2.25\times 24\\\\=339.42\ cm^2[/tex]

So, the required area is [tex]339.42\ cm^2[/tex].

Answer:

From (0,0) and go down 1 and put a dot then down 4 and over to the right 1 and draw a line.

Step-by-step explanation:

Hope this helps have a nice day!

HERE I FOUND IT

Find the LENGTH of Arc AB.

Answer:

The correct answer is B: On the y-axis, 1 tick mark represents 0.4 unit.

Answer:y=7 is the equation of a line. The line has a y-value of 7 no matter what x-value is given.

Step-by-step explanation:

Answer:

any equation that has -5x +/- any number

Step-by-step explanation:

All you have to do to create an equation that is parallel is keep the slope the same but change its be value. (y = mx + b) <---- keep the mx the same

Answer:

the answer is D.

Step-by-step explanation:

well, the y-intercept for f(x) is at  

as you can see from the slope-intercept form is at 4, and it has an slope of 2/3.

for g(x), well an y-intercept is when x = 0, what is it from that table?  well, is at 0,3, so when x = 0, y = 3, so no dice on that one.

c)

whenever an x-intercept occurs, y = 0, for f(x) that's at  

what about the x-intercept for g(x)?  well, let's check, when is y = 0?  aha!  at -9, 0, so when y = 0, x = -9, so no dice on that one either.

d)

well, what is the slope of g(x) anyway?  well, let's pick two points off the table to get it hmmm the first two let's use,

and from a), using the slope-intercept form, we know f(x) has a slope of 2/3.

well, 2/3 is larger than 1/3, so no dice.

b)

well, you already know.

Answer:

if i am not mistaking it got to be c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

First you subtract 325 from 75 then divide the answer by 10

slope: -1/4

y-int: -1

y=(-1/4)x-1

Answer:

B. 3^(2/3)

Step-by-step explanation:

Answer:

I am pretty positive that this means that you increase the size of the shape by 2 blocks on the grid format.

Step-by-step explanation:

Meaning...

shift ∠U 2 blocks to the left on the x-axis

shift ∠V 2 blocks vertically (up) on the y-axis

shift ∠W 2 blocks diagonally to the right

I really hope this helps! I pray this is correct for your sake!

Answer: 0.02

Step-by-step explanation:

OpenStudy (judygreeneyes):

Hi - If you are working on this kind of problem, you probably know the formula for the probability of a union of two events. Let's call working part time Event A, and let's call working 5 days a week Event B. Let's look at the information we are given. We are told that 14 people work part time, so that is P(A) = 14/100 - 0.14 . We are told that 80 employees work 5 days a week, so P(B) = 80/100 = .80 . We are given the union (there are 92 employees who work either one or the other), which is the union, P(A U B) = 92/100 = .92 .. The question is asking for the probability of someone working both part time and fll time, which is the intersection of events A and B, or P(A and B). If you recall the formula for the probability of the union, it is

P(A U B) = P(A) +P(B) - P(A and B).

The problem has given us each of these pieces except the intersection, so we can solve for it,

If you plug in P(A U B) = 0.92 and P(A) = 0.14, and P(B) = 0.80, you can solve for P(A and B), which will give you the answer.

I hope this helps you.

Credit: https://questioncove.com/updates/5734d282e4b06d54e1496ac8

Answer:

The probability that a randomly selected employee works both part time and 5 days each week is 0.02

Step-by-step explanation:

What is probability?

Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event.

The total employees =100

Let A= Employees who work part time = 14

and B = Employees who work 5 days each week = 80

Then, A∪B= 92

We have to find, P(A∩B)

P(A∪B)=P(A)+P(B)-P(A∩B)

[tex]\frac{92}{100}=\frac{14}{100}+\frac{80}{100}-[/tex]P(A∩B)

0.92=0.14+0.8-P(A∩B)

0.92=0.94-P(A∩B)

P(A∩B)=0.02

Hence, the probability that a randomly selected employee works both part time and 5 days each week is 0.02.

To know more about probability here

https://brainly.com/question/23044118

# SPJ2

Answer:

D

Step-by-step explanation:

8x60=480

480÷3=160

160x4=640

640 is 10 Minutes 40 Seconds

6 Miles is 24 Laps

640x6=3840

3840÷60=64

The Answer Will be 64 Minutes.

Answer:

The answer is 2

Step-by-step explanation:

First you need to calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. All of the points add up to 10. Then you divide that number by how many points there are which is 5 and you get 2.

Hope that helps. =)

Answer:

the answer is 2

Step-by-step explanation:

hoped I helped

Answer:

I believe it is C.

Answer:

B

Step-by-step explanation:

because I put it on the calculator and got 0.0195, and they give us 1.95, we have to move the decimal two times in front, that is -2. So the answer is B.  

Answer:

hope this help you a lot but it's too late

can you mark me as brainlist

Answer:

Breakeven is often used in finance, it means the point of reaching a balance.

Step-by-step explanation: