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3 years ago

Find the 7th term of the geometric sequence1/8, 1/2, 2, ...

Physics

1 answer:

schepotkina [342]3 years ago

5 0

Answer:

512

Explanation:

Given sequence:

1/8, 1/2, 2, ...

Unknown:

The 7th term of the geometric sequence = ?

Solution:

To solve this problem, we apply the formula below;

Sₙ = arⁿ⁻¹

a is the first term

r is the common ratio

n is the nth term

r = $\frac{\frac{1}{2} }{\frac{1}{8} }$ = $\frac{1}{2} x 8$ = 4

Input the parameters and solve;

Sₙ = $\frac{1}{8}$ x 4⁷⁻¹

Sₙ = $\frac{1}{8}$ x 4⁶ = 512

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On a hot sunny day, while playing on the ground our body temperature increases. Explain and define the process.

spayn [35]

Explanation:

Its because of the sunlight being much hoter than your body absorbs the heat of the sun.

And its also because of aerobic respiration in which your body takes in oxygen and digests gluecose to creates energy(beacuse of any physical activity like, playing and stuff). So during the proscess in which uour body creates energy(energy-andenoisine triphosphate) HEAT is also created

Thus, your body fells hot during playing and in sunlight

Hope it helps

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4 0

3 years ago

Find the distance traveled in one back-and-forth swing by the weight of a 12 in. Pendulum that swings through a 75 degree angle.

tia_tia [17]

The distance traveled by pendulum, in one back-and-forth swing is 75.75 inches.

The period of pendulum can be calculated by

$T = 2\pi \sqrt {\dfrac Lg}$

Where,

$T$ - period

$L$ - length = 12 inches

$g$ - gravitational acceleration = $\bold {9.8\rm \ m/s^2}$

Put the values,

$T = 2\pi \sqrt {\dfrac {12}{9.8}}\\\\T = 2 \times 3.14 \times \sqrt {0.122}\\\\T = 2.191$

Now, the angular displacement of the pendulum can be calculated by,

$\theta = A\times\rm \ cos(\omega T)$

Where,

$A$ - amplitude

$\theta$ - angle = $75^o$

$\omega$ - angular displacement = $2\pi/T$ = 2.866 m

Put the values and calculate for $\omega$ ,

$75 = A\times{\rm \ cos}(2.866\times 2.191)\\\\75 =A \times cos\ 6.26\\\\A =\dfrac {75}{0.99}\\\\A = 75.75 \rm \ inches$

Therefore, the distance traveled by pendulum, in one back-and-forth swing is 75.75 inches.

To know more about Amplitude of pendulum,

brainly.com/question/14840171

4 0

3 years ago

A. An object takes 5 s to reach the

Komok [63]

Answer:

g = 0.4 m/s²

Explanation:

Given the following data;

Height = 5 meters

Time = 5 seconds

To find the acceleration due to gravity (g) on the planet;

Mathematically, the maximum height of an object is given by the formula;

H = ½gt²

Where;

H is the height measured in meters.

g is the acceleration due to gravity.

t is time measured in seconds.

Substituting into the formula, we have;

5 = ½ * g * 5²

5 = 0.5 * g * 25

5 = 12.5 * g

g = 5/12.5

g = 0.4 m/s²

5 0

3 years ago

: In heavy rushIn heavy rush-hour traffic you drive in a straight line at 12 m/s for 1.5 minutes, then you have to stop for 3.5

zhuklara [117]

Guessing you want the average speed. We can multiple each speed by the time we spent going that speed, and them all together and then divide by the total time we spent in traffic to get the average speed. We spent a total of 7.5 minutes in traffic, so average speed = (12*1.5+0*3.5+15*2.5)/7.5 = 7.4 m/s

8 0

3 years ago

A solid block of metal is at its melting temperature. it takes 24j to melt 6kg of a metal. what is the latent heat of fusion of

Marina86 [1]

The Latent heat of fusion is also known as the Enthalpy of Fusion. It is a kind pf change in enthalpy.

<h3>Brief explanation of Latent Heat of Fusion? </h3>

The latent heat of fusion, is the change in enthalpy that takes place when energy, typically heat, is provided to a specific quantity of a substance to causes it to change from a solid state to a liquid state at a constant pressure.

For instance, 1 kilogram of ice melts at 0 °C at a variety of pressures, absorbing 333.55 kJ of energy without causing a change in temperature.

The heat of solidification, which occurs when a substance changes from a liquid to a solid, is equal and opposing.

This energy includes the contribution necessary to displace its surroundings against ambient pressure in order to accommodate any corresponding change in volume.

The melting point or the freezing point, depending on the situation, is the temperature at which the phase transition takes place. Conventionally, unless otherwise stated, the pressure is taken to be 1 atm (101.325 kPa).

<h3>Calculation</h3>

The formula of latent heat of fusion is L= q/m

Here q is the heat provided and m is the mass of the object.

So, L = 24j/6kg

L= 4j/kg

So, the latent heat of fusion is 4 j/kg

To know more about latent Heat of Fusion visit:

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8 0

2 years ago

Find the 7th term of the geometric sequence1/8, 1/2, 2, ...​

Find the 7th term of the geometric sequence1/8, 1/2, 2, ...