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frozen [14]
4 years ago
10

In the number 2,145,857 how does the digit 5 in the thousands place compare to the digit 5 in the tens place

Mathematics
1 answer:
Sergeeva-Olga [200]4 years ago
4 0

Hello from MrBillDoesMath!

Answer:

The 5 in the thousands place means 5 * 1000 or 5000. The 5 in the tens place means 5* 10 or 50.


Thank you,

MrB

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Whats x value please help
ryzh [129]

Answer:Step-by-step explanation:

x+46=90

x=90-46

x=44°

3 0
3 years ago
Evaluate 1^3 + 2^3 +3^3 +.......+ n^3
Molodets [167]

Notice that

(n+1)^4-n^4=4n^3+6n^2+4n+1

so that

\displaystyle\sum_{i=1}^n((n+1)^4-n^4)=\sum_{i=1}^n(4i^3+6i^2+4i+1)

We have

\displaystyle\sum_{i=1}^n((i+1)^4-i^4)=(2^4-1^4)+(3^4-2^4)+(4^4-3^4)+\cdots+((n+1)^4-n^4)

\implies\displaystyle\sum_{i=1}^n((i+1)^4-i^4)=(n+1)^4-1

so that

\displaystyle(n+1)^4-1=\sum_{i=1}^n(4i^3+6i^2+4i+1)

You might already know that

\displaystyle\sum_{i=1}^n1=n

\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2

\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6

so from these formulas we get

\displaystyle(n+1)^4-1=4\sum_{i=1}^ni^3+n(n+1)(2n+1)+2n(n+1)+n

\implies\displaystyle\sum_{i=1}^ni^3=\frac{(n+1)^4-1-n(n+1)(2n+1)-2n(n+1)-n}4

\implies\boxed{\displaystyle\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}4}

If you don't know the formulas mentioned above:

  • The first one should be obvious; if you add n copies of 1 together, you end up with n.
  • The second one is easily derived: If S=1+2+3+\cdots+n, then S=n+(n-1)+(n-2)+\cdots+1, so that 2S=n(n+1) or S=\dfrac{n(n+1)}2.
  • The third can be derived using a similar strategy to the one used here. Consider the expression (n+1)^3-n^3=3n^2+3n+1, and so on.
7 0
4 years ago
Roselyn is driving to visit her family, which lives 150 km away. Her average speed is 60 km/h. The cars tank has 20 L of fuel at
Valentin [98]

Answer:

15

Step-by-step explanation:

It was very long

3 0
3 years ago
¿Cuántos litros hay en 25 vasos si cada vaso contiene 0,20 litros? POR FAVOR ayudaaaa
ozzi
25 * 0,20 litros = 5 litros
8 0
3 years ago
Please give me set of 6 elements with a mode of 5 and a median of 12 :)
barxatty [35]

Step-by-step explanation:

5, 5, 8, 16, 17, 18

the mode = 5

the median = (8+16)/2 = 24/2 = 12

6 0
3 years ago
Read 2 more answers
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