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elena-s [515]
2 years ago
9

An object moves clockwise around a circle centered at the origin with radius 5 m beginning at the point ​(0,5​). a. Find a posit

ion function r that describes the motion of the object moves with a constant​ speed, completing 1 lap every 8 s. b. Find a position function r that describes the motion if it occurs with speed e Superscript negative t.
Mathematics
1 answer:
Travka [436]2 years ago
6 0

Answer:

a, r = A sin (ωt±Ф) =5 Sin (3.9 t ± 2π) b. A e^-ωt = 5 e^-3.9 t

Step-by-step explanation:

ω =2πr/t =2π*5/8 =3.9 rad/sec, amplitude will be 5 (0, 5 )

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The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 51 househo
Vilka [71]

Answer:

0.007

Step-by-step explanation:

We were told in the above question that a random sample of 51 households is monitored for one year to determine aluminum usage

Step 1

We would have to find the sample standard deviation.

We use the formula = σ/√n

σ = 12.2 pounds

n = number of house holds = 51

= 12.2/√51

Sample Standard deviation = 1.7083417025.

Step 2

We find the z score for when the sample mean is more than 61

z-score formula is z = (x-μ)/σ

where:

x = raw score = 61 pounds

μ = the population mean = 56.8 pounds

σ = the sample standard deviation = 1.7083417025

z = (x-μ)/σ

z = (61 - 56.8)/ 1.7083417025

z = 2.45852

Finding the Probability using the z score table

P(z = 2.45852) = 0.99302

P(x>61) = 1 - P(z = 2.45852) = 0.0069755

≈ 0.007

Therefore,the probability that the sample mean will be more than 61 pounds is 0.007

6 0
3 years ago
The sum of 3 consecutive even integers is 78. What is the largest of the integers?
Maksim231197 [3]

Answer:

is the sum 78 or 7,878 (i.e. was there a stutter)?

In any event, this sum must be even, so 3 consecutive even integers would be n, n+2 & n+4 whose sum is 3n + 6.

Set that to either 78 or 7878, whichever is intended, & solve for n.   If 78 is their grand total, then those 3 consecutive even numbers have to be 24, 26 & 28.

No stress!  Just logic! Keep the faith!

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Solve for X and find the code.
N76 [4]

Answer:

1. x= 8

2. x= 6

3. x= 7

4. x= -8

Code: BECI

Step-by-step explanation:

6 0
2 years ago
Three rats in a lab are injected a type of medicine. The independent probabilities for each rat exhibiting side effects are 0.5,
EleoNora [17]

Step-by-step explanation:

There are four possible values of X: 0 rats show side effects, 1 rat shows side effects, 2 rats show side effects, or all 3 rats show side effects.

Probability X = 0:

P = (1 − 0.5) (1 − 0.4) (1 − 0.3)

P = 0.21

Probability X = 1:

P = (0.5) (1 − 0.4) (1 − 0.3) + (1 − 0.5) (0.4) (1 − 0.3) + (1 − 0.5) (1 − 0.4) (0.3)

P = 0.44

Probability X = 2:

P = (0.5) (0.4) (1 − 0.3) + (0.5) (1 − 0.4) (0.3) + (1 − 0.5) (0.4) (0.3)

P = 0.29

Probability X = 3:

P = (0.5) (0.4) (0.3)

P = 0.06

7 0
3 years ago
PLEASE HELP Which ordered pair is a solution to the system of inequalities?<br> y&lt; 3x<br> y&lt; 5
dimaraw [331]

Answer:

I am pretty sure that it is  C

Step-by-step explanation:

A 1,3 so 3 < 3 no not true

   x,y

B -12,50   50< -36 Also not true

    x  ,  y

C  9  ,  4   4<27 Yes    4< 5 YEPPP

D 4,10   10<12 Yes          10<5 NOOPPPPPEEEE

5 0
2 years ago
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