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3 years ago

Which is a unit rate

Physics

2 answers:

zheka24 [161]3 years ago

8 0

Answer: D) 18 miles driven in a week

Explanation:

A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

a. 47 c for 2 pens

thus the price is for 2 pens and not 1.

b. 20 gallons or 2 hours

Thus the amount of gasoline used is for 2 hours and not 1.

c. 15 hours for 3 months

Thus the time given is for 3 months.

d. 18 miles driven in a week

The distance given is for 1 week and thus is the unit rate.

Thus unit rate is 18 miles driven in a week.

avanturin [10]3 years ago

6 0

D. 18 miles driven in a week

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Given the quantities a= 9.7 m, b= 4.2 s, c= 69 m/s, what is the value of the quantity d = a^3/(cb^2)?

nexus9112 [7]

D= 9.7^3/(69)(4.2)^2
d=912.673/289.8^2
d=912.673/83984.04
d=0.01086721953362...
I hope this helped!

7 0

4 years ago

Read 2 more answers

The engine in an imaginary sports car can provide constant power to the wheels over a range of speeds from 0 to 70 miles per hou

kirill115 [55]

Answer:

Part A

it would take 6 sec

it would take 3 sec

Explanation:

We are told that the power supplied to the wheel is constant which means that the sport car is gaining energy i.e

$power \ \alpha \ energy$

Hence if power is constantly supplied energy constantly increase

From the formula of the Kinetic energy

$KE = \frac{1}{2} mv^2$

we can see that as the speed doubles from 29 mph to 58 mph the energy needed is $2^2$ = 4 times of the energy from the formula

Also the time needed would also be 4 times because energy i directly proportional to time

Hence to reach 58mph the time that it would take is

= $4* 1.5sec = 6sec$

We are told that the ground pushes the car with a constant force and

F = ma

this means that the acceleration is also constant

now from newtons law

v = u +at

Looking at it we see that final velocity is directly proportional with time

hence it would take twice the time to reach twice the final velocity

Time to reach 58mph = 3 s

since time to reach 29 mph( $\frac{1}{2} \ of \ [58mph]$ ) =( $\frac{1}{2} \ of \ 3sec$ )1.5 s

6 0

3 years ago

At an amusement park, the wheelie carries passengers in a circular path of radius r = 11.2 m. If the angular speed of the wheeli

Dafna1 [17]

Answer:

(a) Tangential velocity will be 38.648 m/sec

(b) Acceleration will be $133.617m/sec^2$

Explanation:

We have given radius r = 11.2 m

Angular speed $\omega =0.550rev/sec=0.550\times 2\pi =3.454rad/sec$

(a) We have to find the tangential velocity

We know that tangential velocity is given by

$v_t=\omega r=3.454\times 11.2=38.684m/sec$

(b) We know that acceleration is given by

$a=\frac{v^2}{r}=\frac{38.684^2}{11.2}=133.617m/sec^2$

8 0

3 years ago

Put these components from largest to smallest

MakcuM [25]

Answer:

6, 3, 2, 5, 4, 1

Explanation:

Let's describe them from smallest to largest. In fact the size order is not exact as there are exceptions.

An asteroid is a rocky body which lies in the asteroid belt between Mars and Jupiter. They are typically quite small object. The largest asteroid Ceres has been reclassified as a dwarf planet.

A moon is typically a rocky body which is in orbit around a planet. Some moons such as our Moon are quite large and are typically bigger than asteroid. Some moons can actually be smaller than some asteroids.

A planet is a nearly spherical body which is in orbit around the Sun. Planets are larger than moons.

A star is what planets orbit around. It is the source of light and heat. Our Sun is a star which is many times bigger than all of the planets.

A solar system is a star and all of its planets, asteroids, comets and other bodies. It is significantly bigger than a star.

A galaxy, such as our Milky Way Galaxy, is a collection of solar systems orbiting around a central core. Most galaxies have a supermassive black hole at their centres.

Galaxies also form clusters which are large scale structures.

The universe is everything. It contains billions of galaxies.

7 0

3 years ago

A current 1A in the human body is extremely dangerous.

zmey [24]

a) Potential difference needed: 10,000 V

b) Because the potential difference in the house is maximum 230 V

Explanation:

The relationship between current, potential difference and resistance in a conductor is given by Ohm's law:

$V=RI$

where

V is the potential difference

R is the resistance

I is the current

The resistance of the human body is estimated to be as high as $100,000 \Omega$ for a dry body and as low as $1000 \Omega$ for a wet body: in this problem, we use a value in the middle,

$R=10,000 \Omega$

Therefore, the potential difference needed to produce a current of

$I=1 A$

$V=(10,000)(1)=10,000 V$

Here we want to estimate if it is likely or not to get injured by an electric current in a house.

The amount of current that can be fatal is $I=1 A$ . From part a), we saw that in order to produce this current through the human body, a potential difference of

$V=10,000 V$

is needed.

However, the electricity that reaches the houses and then is connected to the household appliances has a potential difference of

V = 230 V

This value is much lower than 10,000 V, therefore the electricity in the house is unlikely to cause injures to human body.

Learn more about potential difference:

brainly.com/question/4438943

brainly.com/question/10597501

brainly.com/question/12246020

#LearnwithBrainly

6 0

3 years ago