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densk [106]
3 years ago
14

Which expression represents the series 1+5+25+125+625?

Mathematics
1 answer:
katrin2010 [14]3 years ago
3 0
Hello,

s=1+5+25+125+625 is the sum of the 5 terms of the geometric serie 1,5,25... 1 is the  first term and 5 the ratio.


s=\frac{5^{5} -1}{5-1}=\frac{3124}{4}=781


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A ball is kicked from ground level with a velocity of 20 m/s at 30 degrees above the horizontal. Determine the horizontal displa
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Answer:the horizontal displacement is 34.64 meters

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Step-by-step explanation:

As the ball moves from the ground at 30 degrees, it travels through a parabolic path. It can therefore be likened to a projectile. The horizontal displacement to where it lands is the range. The formula for determining range,R is

R = U^2Sin2#)/g

Where

U represents the initial velocity of the ball

g is acceleration due to gravity

# represents the angle above the horizontal.

From the information given

# = 30 degrees

U = 20 m/s

g = 10m/s^2

R = 20^2Sin2×30)/10 = (400Sin60)/20 = (400×0.8660)/10

= 34.64 meters

To determine the maximum height of the ball, H,

H = (U^2Sin^2#)/2g

H = (20^2 × Sin^2 30)/2×10

H = (400 × 0.866^2)/20 = 15 meters

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3 years ago
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Anna35 [415]

Answer:

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Step-by-step explanation:

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A town has a population of 20000 and grows at 4% every year. What will be the population after 6 years, to the nearest whole num
zaharov [31]

Answer:

25306

Step-by-step explanation:

a=starting value = 20000

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r=rate = 4%=0.04

\text{Exponential Growth:}

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b=1+r=1+0.04=1.04

b=1+r=1+0.04=1.04

\text{Write Exponential Function:}

Write Exponential Function:

y=20000(1.04)^x

y=20000(1.04)  

x

 

Put it all together

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Plug in time for x:

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Sergio [31]

Answer:

The probability is 1/8 or 0.125

Step-by-step explanation:

In this question, we are concerned with calculating the probability that when a coin is flipped there would be a show of heads three times.

In flipping of a coin, there are only two possible results with equal probability. The probability of both events i.e P(H) and P(T) is equal and that is 1/2

Thus the probability of getting heads three times in a row will be P(HHH) meaning P(H) and another P(H) and another P(H)

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