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4 years ago

List the steps needed to calculate the number of times a bicycle wheel would turn when the pedals go around once

1 answer:

8 0

Answer: You would need to know the circumference of the wheel, how much force is needed to spin the wheel, and how much force the pedals produce.

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Someone help me please I don’t get it

rodikova [14]

Answer:

x = $\frac{15}{2}$ , x = 1

Step-by-step explanation:

(a)

$\frac{4x-1}{2}$ = x + 7 ( multiply both sides by 2 to clear the fraction )

4x - 1 = 2x + 14 ( subtract 2x from both sides )

2x - 1 = 14 ( add 1 to both sides )

2x = 15 ( divide both sides by 2 )

x = $\frac{15}{2}$

(b)

3x + 2 = $\frac{2x+13}{3}$ ( multiply both sides by 3 to clear the fraction )

9x + 6 = 2x + 13 ( subtract 2x from both sides )

7x + 6 = 13 ( subtract 6 from both sides )

7x = 7 ( divide both sides by 7 )

x = 1

8 0

3 years ago

If f(x) = 2(x - 1) and g(x) =-2x^2 find (fºg)(-4)

vladimir1956 [14]

Answer:

- 66

Step-by-step explanation:

Evaluate g(- 4) then substitute the value obtained into f(x) , that is

g(- 4) = - 2(- 4)² = - 2 × 16 = - 32, then

f(- 32) = 2(- 32 - 1) = 2 × - 33 = - 66

7 0

3 years ago

A poll conducted in 2013 found that 52% of u.s. adult twitter users get at least some news on twitter.40. the standard error for

FinnZ [79.3K]

The 99% confidence interval for the population proportion is given by

$sample \ proportion \pm 2.575\times standard \ error$

Given that 52% = 0.52 is the standard proportion and the standard error is 2.4% = 0.024.

Therefore, the 99% confidence interval for the fraction of u.s. adult twitter users who get some news on twitter is given by

$0.52\pm2.575\times0.024=0.52\pm0.0618=(0.4582, \ 0.5818)$

Therefore, the 99% confidence interval for the fraction of u.s. adult twitter users who get some news on twitter is 45.82% and 58.18%.

The interpretation of the confidence interval is as follows: "We are 99% confident that the fraction of U.S. adult twiter users who get some news on twitter is between 45.82% and 58.18%.

3 0

4 years ago

6. A tank contains 100-gallon of pure water. At time t = 0, a solution containing 2 lb of salt per gallon flows into the tank at

SOVA2 [1]

Answer:

The answer is below

Step-by-step explanation:

Let Q represent the amount of salt in the tank at time t.

$\frac{dQ}{dt}= flow\ in - flow\ out\\ \\flow\ in=3\ gal/min*2\ lb/gal=6\ lb/min\\\\net\ gain\ in\ tank\ volume=3-4=-1, henceflow\ out= \frac{4Q}{100-t} \\\\\frac{dQ}{dt}= 6-\frac{4Q}{100-t} \\\\\frac{dQ}{dt}+ \frac{4Q}{100-t}=6\\\\The \ integrating\ factor\ is:\\\\IF=e^{\int\limits {\frac{4}{100-t} } \, dt }=e^{-4\int\limits {\frac{-1}{100-t}}=e^{-4ln(100-t)}=(100-t)^{-4}}\\\\Multiplying\ through \ by\ IF: \\\\(100-t)^{-4}\frac{dQ}{dt}+ (100-t)^{-4}\frac{4Q}{100-t}=6(100-t)^{-4}\\\\$

$Integrating:\\\\A(100-t)^{-4}=-2(100-t)^{-3}+c\\\\A=-2(100-t)+\frac{c}{(100-t)^{-4}} \\\\at, t=0,A=0\\\\0=-2(100-0)+\frac{c}{(100-0)^{-4}}\\\\c=0.02\\\\A=-2(100-t)+\frac{0.02}{(100-t)^{-4}}$

7 0

3 years ago

In the picture thank you

dmitriy555 [2]

Answer:

The correct answer is b) 1100 adults and 1400 students.

Step-by-step explanation:

To find this, set up a system of equations in which x is the number of students who attend and y is the number of adults who attend.

First start by creating an equation for money made.

5x + 10y = 18,000

Now write an equation for the amount that attend.

x + y = 2,500

Now multiply the bottom equation by -5 and add the equations together.

-5x - 5y = -12,500

5x + 10y = 18,000

5y = 5,500

y = 1,100

Since this is the number of adults, we can plug into an original equation to find the number of students.

x + y = 2,500

x + 1,100 = 2,500

x = 1,400

5 0

3 years ago

Read 2 more answers