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2 years ago

Please help me please please !

Mathematics

1 answer:

Valentin [98]2 years ago

3 0

The answer is 360 because LxWxH

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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

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

7 0

3 years ago

How do you make x+2y=6 a linear equation

madreJ [45]

Subtract X
2y=-x+6
Then divide by 2
Y=-1/2x+3

5 0

3 years ago

Read 2 more answers

#2, can someone help me with this question?

Greeley [361]

Answer:

166.5 m³

Step-by-step explanation:

Vcone = ⅓ × pi × r² × h

pi × r² × h = 3 × Vcone

Vcylinder = pi × r² × h

Vcylinder = 3 × Vcone

Vcylinder = 3 × 55.5 = 166.5 m³

8 0

3 years ago

Read 2 more answers

18 bikes, 9 have gears (G), 11 have suspension (S) and 5 with both,What is the probability that a bike with suspension or gears?

vichka [17]

Answer:

Step-by-step explanation:

Total number of bikes = 18
Bikes with gears S = 9
Bikes with suspension S = 11
Bikes with both GS = 5

From the information above we have:

Bikes with gears only = 9 - 5 = 4
Bikes with suspension only = 11 - 5 = 6

Sum of the above two gives us the number of bikes with suspension or gears:

4 + 6 = 10

Probability of selected bike be G or S is:

P(G or S) = 10/18 = 5/9

4 0

3 years ago

How to find the area of a triangle with a base of 32ft

Sergeu [11.5K]

Well to find the area of any figure you must first have knowledge on the formula. The formula for a triangle is 1/2 x b x h. Since you have the base 32, multiply that by 1/2 which will give you 16. Then you have to multiply 16 by the height. I'm not sure what the height is because you never gave me one but hopefully this helped! God bless :)

4 0

3 years ago