The tub of a washer goes into its spin cycle, starting from rest and gainiing angular speed steadily for 8.0 s when it is turning at 5.0 rev/s. At this time the person doing the laundry opens the lid and a safety switch turns off the washer. The tub smoothly slows to rest in 12.0 s. Through how many revolutions does the tub turn whil it is in motion.

Answers

Answer 1

Answer: Angular acceleration is change of angular velocity over time:
α = 5 / 8 = 0.625 rev / s²
Number of revolutions of the 1st part:
α · t² /2 = 0.625 * 8² / 2 = 20 rev.
The 2nd part:
α = 5/12 = 0.41667 rev/s²
5 * 12 - ( 0.41667 * 12² / 2 ) = 60 - 30 = 30 rev.
In total: 20 + 30 = 50 revolutions

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Don't understand these problems
Multiply. –7 ∙ 8a. –56b. –1c. 1d. 56

Write an equation of the line in slop intercept form

Answers

Answer:

Step-by-step explanation:

(1 + 3)/(3-1) = 4/2 = 2

y - 1 = 2(x - 3)

y - 1 = 2x - 6

y = 2x - 5

16000 blood donors were registered with a charitable hospital . The number of donors increased at the rate p% every year. If the total number of blood donors becomes 17640 after 2 yearsWhat's the value of p

Answers

Answer:

Step-by-step explanation:

Let P be the decimal value of p percent.

(16000)*(1+P)^2 = 17640

(1+P)^2 = (17640)?(16000)

(1+P)^2 = 1.1025

(1+P) = 1.05

P = 0.05

p = 5.0%

Suppose the population of a town is 15,200 and is growing 2% each year. Write an equation to model the population growth. Predict the population after 10 years

Answers

1. So the current population of the town is 15 200 and is growing per year with 2%.
Find the population number after 10 years.
First, let’s find the value of 2% in decimal form
=> 2/100
=> 0.02

Now, let’s try to solve
Population = 15 200 ( 1 + (0.02 x 10) )
Population = 15 200 ( 1 + 0.2 )
Population = 15 200 + 3040
Population = 18 240
Thus, in 10 years, the town’s population will increase to 18 240.

Answer:

The equation model is P = Po * e^rt

The population after 10 years = 18, 559 (most approximately)

Step-by-step explanation:

We use formula to find the population growth.

P = Po * e^rt

Where P is the total population after t years

Po is the initial population

r = rate of growth

t = time

e = 2.71 [Euler number]

The equation model is P = Po * e^rt

Now to find the population after 10 years, we have to plug in the given values in the formula.

Given:

Po = 15, 200, r = 2% = 2/100 = 0.02, and t = 10 years

P = 15,200*e^0.02(10)

P = 15,200*2.71^0.2

P = 15,200 *1.221

P = 18, 559

Therefore, the population after 10 years = 18, 559 (most approximately)

Find the missing angle.
Round to the nearest whole degree.

Answers

Answer:

θ = 37°

Step-by-step explanation:

The missing angle is θ

cos θ = 4/5

cosθ = 0.8

Using a calculator:

cos^(-1)(0.8) = 36.86≈ 37°

so θ = 37°

Which is bigger: 0.3 or 1/3

Answers

The bigger number is 1/3. That is, 1/3 is bigger than 0.3

To determine which is bigger between 0.3 and 1/3.

First, we will express 0.3 as a fraction

0.3 = 3/10 as a fraction

Now we are to determine which is bigger between $(3)/(10) \ and \ (1)/(3)$

By LCM method,

$(3)/(10) \ and \ (1)/(3)$ = $(9)/(30) \ and \ (10)/(30)$ respectively

Since, the corresponding numerator(10)of $(1)/(3)$ is greater than the corresponding numerator(9) of $(3)/(10)$ ,

∴ $(1)/(3)$ is bigger that $(3)/(10)$

Hence, 1/3 is bigger than 0.3

Learn more here: brainly.com/question/19272301

First, turn the fraction into a decimal to get a better look at the problem. To do that, divide the numerator (top half) by the denominator (bottom half). 1 divided by 3 = 0.33
0.33 is larger than 0.3. If it helps, add a 0 to 0.3 to get 0.30 and you'll see that 33 is in fact a larger number than 30. (Adding the zero does NOT change the number, it holds no place value it's just there for looks.)

Which input value produces the same output value for the two functions on the graph?A.) x = -3
B.) x = -2
C.) x = -1
D.) x = 3

Answers

For the question "Which input value produces the same output value for the two functions on the graph?" The solution of a system of equations is the point at which both the input value and the output value of the equations have the same value. Graphically, it is the point of intersection of the graphs representing the equations. Here the point of intersection of the line representing the graph is point (-2, 1) with an x-value of -2 and a y-value of 1. The input value of a function is the x-value of the function. Therefore, the input value that produces the same output value for the two functions on the graph is -2.

Answer:

The right answer is x= -2

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