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4 years ago

568,924,126 each digit stands for what

Mathematics

1 answer:

PtichkaEL [24]4 years ago

6 0

Answer:

500,000,000
60,000,000
8,000,000
900,000
20,000
4,000
100
20
6

Step-by-step explanation:

To find what a digit stands for, make all the other digits zero.

This is substantially what we do when we write the number in "expanded form."

568,924,126

= 500,000,000 +60,000,000 +8,000,000 +900,000 +20,000 +4,000 ...

... +100 +20 +6

The list of numbers in the sum is the list of numbers the digits stand for.

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30 points!!<br> What is the sum of the first six terms of the series?<br> 48 - 12 + 3 - 0.75 +...

Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is $-\frac{1}{4}$

Thus, $r=-\frac{1}{4}$

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is $a_{n}=a_{1} \cdot r^{n-1}$

To find the fifth term, substitute $n=5$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}$

To find the sixth term, substitute $n=6$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}$

To find the sum of the first six terms:

The general formula to find Sn for $|r|$ is $S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}$

$\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}$

Thus, the sum of first six terms is 38.39

5 0

3 years ago

If a triangle has sides 4, 6 and 10 and a 2nd similar triangle has a perimeter of 60, find the 2nd largest side of the 2nd trian

algol13

The first triangle has a perimeter of 4+6+10 = 20.

The 2nd longest side is 6/20 = 3/10 of the perimeter. In the larger triangle, the 2nd longest side will have length (3/10)*60 = 18.

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These side lengths mean the "triangle" is a line segment. That is, it has zero area.

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4 years ago

Peter weighs is 105 kg. His wants to lose 500 g per week. How many weeks will it take for him to have

ziro4ka [17]

Answer:

30 weeks

Step-by-step explanation:

105-90

=15 kg

15kg= 15000g

15000g/500g

=30 weeks

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3 years ago

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bixtya [17]

I believe X= -1 and Y= -9. Hope this helped!

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4 years ago

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DENIUS [597]

Answer:

The volume of the cylinder is 5, 024 cm cubed (the last option)

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3 years ago