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3 years ago

A bicycle tire has a diameter of 28 inches . How many inches would it take for the bicycle to make one complete rotation?

Mathematics

2 answers:

worty [1.4K]3 years ago

4 0

Answer:

2 hours

Step-by-step explanation:

klio [65]3 years ago

3 0

Answer: 87.92 inches

Step-by-step explanation: in ord er to find this, you have to find the circumference. the equation to find this is the diameter mutiplied by pi. given the diameter you would mutiply 28X3.14 which will give you 87.92 inches. this is the number of inches going around the circle.

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Alma got to the playground at 2:45.she spent 20 minutes on the swings and 10 minutes on the jungle gym. She played on the slide

Archy [21]

Answer:

Alma got home at 3:27

Step-by-step explanation:

2:45+30 min=3:15

3:15+12 min = 3:27

3 0

3 years ago

) Set up a double integral for calculating the flux of F=3xi+yj+zk through the part of the surface z=−5x−2y+2 above the triangle

Fynjy0 [20]

The surface (call it $S$ ) is a triangle with vertices at the points

$x=0,y=0\implies z=2\implies(0,0,2)$

$x=0,y=2\implies z=-2\implies(0,2,-2)$

$x=2,y=0\implies z=-8\implies(2,0,-8)$

Parameterize $S$ by

$\vec s(u,v)=(1-v)(2,0,-8)+v\bigg((1-u)(0,2,-2)+u(0,0,2)\bigg)=(2-2v,2v-2uv,-8+6v+4uv)$

with $0\le u\le1$ and $0\le v\le1$ . Take the normal vector to $S$ to be

$\vec s_v\times\vec s_u=(20v,8v,4v)$

Then the flux of $\vec F$ across $S$ is

$\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^1\int_0^1(6-6v,2v-2uv,-8+6v+4uv)\cdot(20v,8v,4v)\,\mathrm du\,\mathrm dv$

$=\displaystyle8\int_0^1\int_0^1(11v-10v^2)\,\mathrm du\,\mathrm dv=\boxed{\frac{52}3}$

8 0

3 years ago

Between x=2 and x=3, which function has a greater average rate of change than f(x)=2^x has?

maxonik [38]

Answer: f(3)

Step-by-step explanation:

First find the formula for the rate of change by taking the derivative of 2^x. Let f(x) equal some hypothetical y-value, then take the natural log of both sides.

$y=2^x\\\ln(y)=x \ln(2)$

Implicitly differentiate the left side and take the derivative of the right side

$\frac{y'}{y} =\ln(2)$

Multiply both sides by 'y' which was defined as 2^x

$y'=\ln(2)*2^x$

Plug in x = 2 and x = 3 to see which slope is larger

$y'=\ln(2)*2^2=4\ln(2)\\y'=\ln(2)*2^3=8\ln(2)$

4 0

3 years ago

if a car travels 370.3 miles on 52 liters of gas, how many liters of.gas.will take to go 722 miles.if the car travels at the sam

blsea [12.9K]

Answer:

101.4 liters.

Step-by-step explanation:

First of all we will find mileage of car.

$\text{Mileage of car}=\frac{\text{Total distance traveled}}{\text{Total amount of fuel}}$

$\text{Mileage of car}=\frac{370.3\text{ miles}}{52\text{ liters gas}}$

$\text{Mileage of car}=7.12115\frac{\text{ miles}}{\text{ liters gas}}$

We can see that car travels at the rate of 7.12 miles per liter gas. Now let us find amount of gas needed to travel 722 miles at the same rate.

$\text{Amount of gas needed}=\frac{722}{7.12}$

$\text{Amount of gas needed}=101.388$

Therefore, it will take 101.4 liters of gas to travel 722 miles.

4 0

3 years ago

What are some real life situations using system of equations?

OlgaM077 [116]

Bob's car rental company makes you pay 10 dollars per day you rent the car and a 30 dollar insurance fee

joe's car rental company makes you pay 30 dollars per day you rent the car and a 10 dollar insurance fee

how many days do you need to rent a car for the cost for renting both are the same

bob=10x+30
joe=30x+10
set each to each other
10x+30=30x+10
subtract 10x
30=20x+10
subtract 10
20=20x
divide both sides by 20
1=x
you need to rent 1 day for them to be equal

3 0

3 years ago