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3 years ago

The radius of a sphere is 6 cm what is the volume

Mathematics

1 answer:

spayn [35]3 years ago

5 0

Answer:

904.78

Step-by-step explanation:

A sphere with a radius of 6 units has a volume of 904.78 units

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Long division<br> 3x+1/6x^6+5x^5+2x^4-9x^3+7x^2-10x+2

inna [77]

$(6 x^{6}+5x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2) / (3x+1)$

We divide first number from first parenthesis with first number from second parenthesis. Then the resulting number we multiply by all numbers in second parenthesis and substract from first parenthesis.

$6 x^{6}/3x = 2 x^{5} \\ \\ 6 x^{6}+5x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2 - 6 x^{6} -2 x^{5} = 3x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2\\$

We repeat previous steps until we run out of numbers:
$3x^{5}/3x=x^{4} \\ \\ 3x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2-3x^{5}-x^{4}= \\ \\ x^{4}-9x^{3}+7x^{2}-10x+2 \\ \\ \\ x^{4}/3x= \frac{1}{3} x^{3} \\ \\ x^{4}-9x^{3}+7x^{2}-10x+2-x^{4}- \frac{1}{3} x^{3}= \\ \\ - \frac{28}{3} x^{3}+7x^{2}-10x+2 \\ \\ \\ - \frac{28}{3} x^{3}/3x= - \frac{28}{9} x^{2} \\ \\ - \frac{28}{3} x^{3}+7x^{2}-10x+2+ \frac{28}{3} x^{3}+ \frac{28}{9} x^{2} = \\ \\ \frac{91}{9} x^{2}-10x+2$
$\frac{91}{9} x^{2}/3x=\frac{91}{27} x \\ \\ \frac{91}{9} x^{2}-10x+2-\frac{91}{9} x^{2}-\frac{91}{27} x= \\ \\ -\frac{361}{27} x+2 \\ \\ \\ -\frac{361}{27} x/3x=-\frac{361}{81} \\ \\ -\frac{361}{27} x+2+\frac{361}{27}x+\frac{361}{27}= \\ \\ \frac{415}{27}$

We are left with a number that has no x inside. This is remainder.
The final solution is sum of all these solutions and remainder:
$(2 x^{5}+x^{4}+\frac{1}{3} x^{3} - \frac{28}{9} x^{2} +\frac{91}{27} x)+(-\frac{361}{81} )$

6 0

3 years ago

Which situation represents a multiplicative relationship? A) Kevin is 8 years older than his brother Sean. B) For every cat at t

Lunna [17]

Answer:

Option B represents a multiplicative relationship.

Step-by-step explanation:

We are required to find the situation that represents a 'multiplicative relationship'.

According to the options, we have,

A) Kevin is 8 years older than his brother Sean.

This gives us the relation that, Kevin's Age = 8 + Sean's Age.

Thus, this is not a multiplicative relationship.

B) For every cat at the pet store, there are 2 dogs.

We get that, for 1 cat, there are two dogs.

So, Number of dogs = 2 × Number of cats.

Thus, this is a multiplicative relationship.

C) A buy one get one free sale on sweaters at the clothing store.

So, during the sale a person can buy 1 + 1 i.e. 2 sweaters.

Thus, this is not a multiplicative relationship.

D) James always keeps $100 more in his savings than his checking account.

This gives us the relation that, Savings balance = 100 + Checking balance

So, this is not a multiplicative relationship.

Hence, option B represents a multiplicative relationship.

6 0

4 years ago

Write 35/3 as a mixed number.

labwork [276]

Answer:

Answer is 11⅔

Step-by-step explanation:

if want convert improper fraction into mixed number you have divide numerator by denominator

35÷3=11 remainder 2

7 0

3 years ago

....................help...........

Y_Kistochka [10]

Answer:

with what?

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Helppp<br> I really don't understand full explanation would be nice, please.

Dafna1 [17]

Step-by-step explanation:

y = mx + b.

y = -5/x -5

I hope this helps,

8 0

3 years ago