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2 years ago

Wich fraction can be replaced with one half when estemating fraction

1 answer:

s2008m [1.1K]2 years ago

4 0

<span>Wich fraction can be replaced with one half when estemating fraction

Example
</span> $\dfrac{3}{4}* half= \dfrac{3}{4}* \dfrac{1}{2}= \dfrac{3*1}{4*2}= \boxed{ \frac{3}{8} }$ <span>
</span>

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spayn [35]

2 yeuii .-. Bananas en pijama

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2 years ago

What is the sum of the infinite geometric series 9−6+4−83+...9-6+4-83+...??

vivado [14]

Successive terms have a common factor of $-\dfrac23$ , which means the $n$ th partial sum of the series can be written as

$S_n=9-6+4-\dfrac83+\cdots+9\left(-\dfrac23\right)^{n-1}$
$S_n=9\left(1+\left(-\dfrac23\right)^1+\left(-\dfrac23\right)^2+\left(-\dfrac23\right)^3+\cdots+\left(-\dfrac23\right)^{n-1}$

$\implies-\dfrac23S_n=9\left(\left(-\dfrac23\right)^1+\left(-\dfrac23\right)^2+\left(-\dfrac23\right)^3+\left(-\dfrac23\right)^4+\cdots+\left(-\dfrac23\right)^n\right)$

$\implies S_n-\left(-\dfrac23\right)S_n=9\left(1-\left(-\dfrac23\right)^n\right)$
$\dfrac53S_n=9\left(1-\left(-\dfrac23\right)^n\right)$
$S_n=\dfrac{27}5\left(1-\left(-\dfrac23\right)^n\right)$

As $n\to\infty$ , the geometric term vanishes, leaving you with

$S=\displaystyle\lim_{n\to\infty}S_n=\dfrac{27}5$

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2 years ago

What is the surface area of a cylinder with base radius 4 and height 5

crimeas [40]

20 because radius times height will give you the surface area of the shape

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2 years ago

Read 2 more answers

Please help

Lapatulllka [165]

I think it’s A.6.3
Sorry if I’m wrong but I’m pretty sure it’s that.

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3 years ago

Sumi rides at a constant speed of 10 ft/s. Write an equation that expresses the distance d that sumi has traveled as a function

Shtirlitz [24]

Answer:

d = 10s

Step-by-step explanation:

The formula for calculating the speed of Sumi is expressed as;

Speed = distance/time

Given

Speed = 10ft/s

time = s seconds

Required

Distance travelled as a function of time;

from the formula;

Distance = Speed * time

Distance = 10 * s

d = 10s

Hence the equation that expresses the distance d that sumi has traveled as a function of the time s in seconds since she started riding her bike is;

d = 10s

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2 years ago