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LiRa [457]
3 years ago
12

What is the sum of the infinite geometric series with a1=42 and r=6/5?

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
8 0
This infinite sum is given by

          a     
S =  ------  but ONLY if r<1.  Here, r>1, so the infinite sum does not exist.    
        1-r                                     
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niko got the jumbo ice cream cone at the Dutchess County Fair. The amount of ice cream can be modeled using a cone whose height
lakkis [162]
There are 897.8 calories in this treat, assuming the cone is filled with ice cream as well.

The formula for the volume of a cone is V=1/3πr²h, and the formula for the volume of a sphere is V=4/3πr³.

For the cone, we have dimensions r = 4 and h = 12:

V=(1/3)(3.14)(4²)(12) = 200.96 cm³.

For the hemisphere, we know that r = 4:
V=(4/3)(3.14)(4³)(1/2) [because it's half of a sphere]
 = 133.97 cm³

The whole sphere will be twice that number, so 

V= 133.97(2) = 267.94

Adding all of these together, we have:

200.96+133.97+267.94 = 602.87cm³

Since there are 237 cm³ in a cup, we divide our total volume by 237:

602.87/237 = 2.54 c

Multiply this by 320 calories per cup:
2.54(320) = 812.8

Add the 85 calories for the cone:
812.8 + 85 = 897.8
5 0
3 years ago
(233556678.45/111656)*2
wolverine [178]

Answer:

4183.5043

Step-by-step explanation

233556678.45/111656 is 2091.75215 times 2 is 4183.5043

6 0
3 years ago
Given the expression below, write an equivalent expression that does not contain parentheses.​
sertanlavr [38]

Answer:

-2x - 12 - 2

Step-by-step explanation:

  1. Apply the distributed property: -2x - 12 - 2

I hope this helps!

7 0
3 years ago
A suit is on sale for $154. If the original price of the suit was $440, what percent was discounted for the sale?
9966 [12]
The dollar amount of the discount is 440 - 154 = $286.
Therefore the percentage discount for the sale is given by:
\frac{286}{440}\times100=65\ percent
3 0
3 years ago
The population of fish in a certain lake increased from 350 to 430 over the months of March and April. At what rate is the popul
Xelga [282]
40 fish a day increase(unit rate)
4 0
3 years ago
Read 2 more answers
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