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3 years ago

Write the arithmetic series in summation notation 4+8+12+16

Mathematics

1 answer:

alexandr402 [8]3 years ago

3 0

Answer:

Step-by-step explanation:

n=4

∑ 4 + (n-1)4

n =1

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If 1/64= 4^2 s -1.162s+2 what is the value of s?

antoniya [11.8K]

Answer: Hello brainly student, The answer for this question is that s=1

Step-by-step explanation: Hope this helps you :)

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2 years ago

How would you do this?

Goshia [24]

Using the formula y=200+50x, plug in x=1 to get y=250.

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3 years ago

HELP ME PLEASE . IF YOURE GOOD GEOMETRY HELP

Art [367]

Oh these are easy, I’ll explain.
To start off, the answer is 11.
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3 years ago

1..A message in a bottle is floating on top of the ocean in a periodic manner. The time between periods of maximum heights is 26

statuscvo [17]

Answer:

See below for answers and explanations (along with a graph attached)

Step-by-step explanation:

Part A

The amplitude of a sinusoidal function is half the distance between the maximum and the minimum. It is given to us that the distance from the highest and lowest point is 6 feet, so our amplitude is 6/2 = 3 feet

Part B

The graph's function would be in the form of $y=acos(bx+c)+d$ where $a$ is the amplitude, $\frac{2\pi}{b}$ is the period, $-\frac{c}{b}$ is the phase/horizontal shift, and $d$ is the average/midline.

We already know our amplitude of $a=3$ from part A.

Since our period is given to us as 26 seconds, then we can use the equation $\frac{2\pi}{b}=26$ to find $b$ , which happens to be $b=\frac{\pi}{13}$ .

Since the cosine function starts at its maximum and we want it to start at the average where the bottle travels up, we would need to use the cofunction identity $sin(x)=cos(x-\frac{\pi}{2})$ which shifts the cosine graph $\frac{\pi}{2}$ units to the right. This means that $c=-\frac{\pi}{2}$ , making our phase shift $-\frac{c}{b}=-\frac{-\frac{\pi}{2}}{\frac{\pi}{13}}=6.5$ , or 6.5 feet to the right

Our average/midline would be $d=12$ as given as the average height by the problem.

Therefore, the function is $f(x)=3cos(\frac{\pi}{13}x-\frac{\pi}{2})+12$

Part C

Using our determined function from Part B, by looking at its graph, we see that the bottle will reach its lowest height of 9 feet after 19.5 seconds (see attached graph).

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2 years ago

Read 2 more answers

Troy sold 28 bags of popcorn and 40 candy bars and made $282. Jake sold 17 bags of popcorn and 20 bags of candy and made $160.50

Ghella [55]

One bag of popcorn would cost $6.50

To solve this, we can set up equations:
28p+40c=$282
17p+20c=$160.50

To solve this system, we would need to make either the candy bars the same or the bags of popcorn the same. Since we are solving for bags of popcorn, we will make the candy bars the same:
20(28p+40c=$282)
40(17p+20c=$160.50)

Which would give you:
560p+800c=$5,640
680p+800c=$6,420

Subtract them:
(680p+800c=$6,420)
-(560p+800c=$5,640)
_________________
120p=$780

Now divide by 120 to get the price of one bag of popcorn:
120p=$780
_________
120

p=$6.50

3 0

3 years ago