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3 years ago

ted says that 3 tenths multiplied by 100 equals 300 thousands. is he correct? Use place value chart to explain your amswer

Mathematics

2 answers:

Anna35 [415]3 years ago

7 0

Yes he is correct because if he multiply 3by 100 equals it equals 300 thousands

leva [86]3 years ago

3 0

I can tell you that he is wrong because 3*10=30 then 30*100= 3,000 and 300 thousands would be 300,000

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Determine whether the sequence converges or diverges. If it converges, give the limit.

vaieri [72.5K]

Answer:

The given series converges and $\lim_{n \to \infty} a_n =0$

Step-by-step explanation:

Given is 108, -18, 3,...

It is an alternate series. An alternate series is convergent if:

1. The series is decreasing.

2. If the last term (n-th term) of series converges to 0.

Since each next term is less than its preceding term, so it is decreasing.

First term, a = 108

Second term = -18

Common ratio, r = -18/108 = -1/6

General term, aₙ = a*rⁿ = 108*(-1/6)ⁿ

When n increases to infinity, the exponent term will decreases to zero, and last term (n-th term) will converge to 0 as well.

Hence, the given series converges.

Now limit will be: $\lim_{n \to \infty} a_n$

$\lim_{n \to \infty} 108*(-1/6)^n \\= 108*(-1/6)^\infty \\= 108*(1/\infty) \\= 108*0 \\= 0$

Hence, $\lim_{n \to \infty} a_n =0$

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3 years ago

Which expressions are equivalent to the one below? Check all that apply. 3x

noname [10]

Answer:

F and C

Step-by-step explanation:

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3 years ago

It was estimated that because of people switching to Metro trains about 33000 of CNG 3300 tons of diesel and 21000 tons of petro

Simora [160]

The question is incomplete. Here is the complete question

It was estimated that because of people switching to Metro trains about 33000 of CNG 3300 tons of diesel and 21000 tons of petrol was saved by the end of year 2007 (I) find a fraction of the quantity of diesel saved to the quantity of petrol saved (ii) find the quantity of cng to the quantity of diesel saved

Answer:

(I) 11/70

(II) 1/10

Step-by-step explanation:

Metro trains contain 330,000 tons of CNG

3300 tons of diesel was saved

21000 tons of petrol was saved at the end of 2007

(I) The fraction of the quantity of diesel saved to the quantity of petrol saved can be calculated as follows

= 3300/21000

= 11/70

(II) The fraction of the quantity of CNG saved to the quantity of diesel can be calculated as follows

= 3300/33000

= 1/10

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3 years ago

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tia_tia [17]

Answer: Deal one: 5x+10

Deal two: 6x

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3 years ago

Rewrite the equation x = 65 - 60p by factoring the side that contains the variable p.

grigory [225]

Answer: $x=5(13-12p)$

Step-by-step explanation:

Given equation: $x=65-60p$

$\\\Rightarrowx=(5\times13)-(5\times12)p$

Since 5 is the greatest common factor of 65 and 60 in the given expression.

Therefore, the above expression can be written as

$x=5(13-12p)$

Hence, by factoring the side that contains the variable p we have the expression $x=5(13-12p)$ .

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3 years ago