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3 years ago

What is the volume of a sphere with a radius of 6mm

Mathematics

1 answer:

sertanlavr [38]3 years ago

8 0

Approximately 904.78

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Enter the finite geometric series from its given description, and then enter its sum.

Mama L [17]

Answer:

$a_n= 4(-5)^{(n-1)}$

-10416

Step-by-step explanation:

a = 4

r = -5

geometric series: $a_n=ar^{(n-1)} = 4(-5)^{(n-1)}$

Determine which term = -12500:

$a_n=-12500$

$4(-5)^{(n-1)}=-12500$

$(-5)^{(n-1)} = -3125$

$(5)^{(n-1)} = 3125$

$(n-1)ln(5) = ln(3125)$

$n-1 = ln(3125)/ln(5) = 5$

$n = 5 + 1 = 6$

$a_6=-12500$

Using geometric sum series formula: $S_n=\frac{a(1-r^n)}{1-r}$

Therefore, $S_6=\frac{4(1-(-5)^6)}{1-(-5)} =\frac{-62496}{6} =-10416$

4 0

2 years ago

A circular pool is surrounded by a circular walkway. The radius of the pool is y − 4 and the radius of the full circle formed by

TiliK225 [7]

A=πr²

pool=π(y-4)²=π(y²-8y+16)
total=π(y+4)²=π(y²+8y+16)

walkway=total-pool
walkway=π(y²+8y+16)-π(y²-8y+16)=
π(y²+8y+16-y²+8y-16)=
π(16y)=
16πy
first option is answer

6 0

3 years ago

Kelly’s baby brother weighs 7.71 is pounds. Her newborn kitten weighs 0.24 pound. How much more does kelly’s baby brother weigh

sleet_krkn [62]

Answer:

7.47

Step-by-step explanation: 7.71-0.24=7.47 which is how you find how much more the baby weighed than the kitten

3 0

3 years ago

Stan's cookie recipe makes 24 cookies and calls for exactly 384 sprinkles. He is wondering how many sprinkles (p)eft parenthesis

OLEGan [10]

Answer:

960 sprinkles

Step-by-step explanation:

x = sprinkles

For this problem we will create a ratio

$\frac{24}{384} :\frac{60}{x}$

24x=384*60

24x=23,040

x=23,040/24

x=960

Stan would need 960 sprinkles!

Hope this helps!

(pls mark as brainiest)

Thanks!

5 0

2 years ago

Read 2 more answers

Which equation can be used to solve the following word problem? Seth has 8 more nickels than dimes, and the total value of his c

9966 [12]

Answer:

Seth has 21 nickels

Step-by-step explanation:

Let n represent the number of nickels. Since Seth has 8 more nickels than dimes, then (n-8) is the number dimes.

Nickel is worth 5 cents and dime is worth 10 cents. Thus, n nickels are worth 5n cents and (n-8) dimes are worth 10(n-8) cents. The total value of Seth's coins is $2.35 that is 235 cents, then

$5n+10(n-8)=235.$

Solve this equation:

$5n+10n-80=235,\\ \\15n=235+80,\\ \\15n=315,\\ \\n=21.$

6 0

3 years ago