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dimaraw [331]
3 years ago
15

Hey, can you help me?

Physics
1 answer:
kvv77 [185]3 years ago
4 0

Answer:

The unit rate is $0.22 lb

Explanation:

The given parameters are;

The price for 18 lb = $3.99

We have;

The unit rate is the price for one unit. Whereby the unit of measurement is the lb, we have that one unit = 1 lb.

Therefore, given that 1 lb = 18 lb/18, the price of 1 lb which is the unit rate is given as follows;

18 lb price = $3.99

Divide both sides by 18 to get;

18 lb/18 =  $3.99/18 = $0.221\bar 6

Therefore, we have;

1 lb = 18 lb/18 = $0.221\bar 6

The unit rate, which is the cost for 1 lb to the nearest hundredth = $0.22/lb.

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Nutka1998 [239]
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5 0
3 years ago
The velocity of a particle traveling in a straight line is given by v = (6t - 3t²) m/s, where t is in seconds. If s = 0 when t =
qaws [65]

Answer

given,

v = (6 t - 3 t²) m/s

we know,

v = \dfrac{dx}{dt}

a = \dfrac{dv}{dt}

position of the particle

dx = v dt

integrating both side

\int dx = (6t - 3 t^2)\int dt

 x = 3 t² - t³

Position of the particle at t= 3 s

 x = 3  x 3² - 3³

 x = 0 m

now, particle’s deceleration

a = \dfrac{dv}{dt}

a = \dfrac{d}{dt}(6t - 3 t^2)

  a = 6 - 6 t

at t= 3 s

    a = 6 - 6 x 3

    a = -12 m/s²

distance traveled by the particle

  x = 3 t² - t³

at t = 0 x = 0

   t = 1 s   , x = 3 (1)² - 1³ = 2 m

   t = 2 s  ,  x = 3(2)² - 2³ = 4 m

   t = 3 s ,   x =  0 m

total distance traveled by the particle

D = distance in 0-1 s + distance in 1 -2 s + distance in 2 -3 s

D = 2 + 4 + 2 = 8 m

average speed of the particle

v_{avg} = \dfrac{distance}{time}

v_{avg} = \dfrac{8}{3}

v_{avg} =2.67\ m/s

8 0
3 years ago
Given that the efficiency of heating your room is roughly 35%, what mass of natural gas is actually necessary to heat your room
Mrac [35]

Answer:

Mass of natural gas needed to heat the room is 350,000BTUs

Explanation:

The heating efficiency of a furnace is never 100% because not all energy is released and not all heat is available to heat the place. A lesser efficiency requires more consumption of fuel. Heating values are used for heating fuels in order to calculate the mass of fuel needed.

The heating value of natural gas is 1,000,000BTUs

Therefore the formular for calculating mass of natural gas needed= Heating value of natural gas×efficiency.

Mass=1,000,000×0.35

Mass=350,000BTUs

3 0
3 years ago
What is the magnitude (in N/C) and direction of an electric field that exerts a 4.00 x 10^−5 N upward force on a −2.00 µC charge
emmasim [6.3K]

Answer:

The magnitude of electric field is 1.25\times10^{14}\ N/C in downward.

Explanation:

Given that,

Force F= 4.00\times10^{-5}\ N

Charge q= -2.00 μC

We know that,

Charge is negative, then the electric field in the opposite direction of the exerted force.

We need to calculate the magnitude of electric field

Using formula of electric force

F = qE

E = \dfrac{F}{q}

E=\dfrac{4.00\times10^{-5}}{-2.00\times1.6\times10^{-19}}

E=-1.25\times10^{14}\ N/C

Negative sign shows the opposite direction of electric force.

Hence, The magnitude of electric field is 1.25\times10^{14}\ N/C in downward.

8 0
4 years ago
Which list places the layers of the sun in the correct order from outermost to innermost?
Valentin [98]
Answer - corona, chromosphere, photosphere
4 0
3 years ago
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