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gulaghasi [49]
2 years ago
7

1 point

Mathematics
1 answer:
swat322 years ago
3 0

Answer:

\log_{10}(147) = 2.1673

Step-by-step explanation:

Given

\log_{10} 3 = 0.4771

\log_{10} 5 = 0.6990

\log_{10} 7= 0.8451

\log_{10} 11 = 1.0414

Required

Evaluate \log_{10}(147)

Expand

\log_{10}(147) = \log_{10}(49 * 3)

Further expand

\log_{10}(147) = \log_{10}(7 * 7 * 3)

Apply product rule of logarithm

\log_{10}(147) = \log_{10}(7) + \log_{10}(7) + \log_{10}(3)

Substitute values for log(7) and log(3)

\log_{10}(147) = 0.8451 + 0.8451 + 0.4771

\log_{10}(147) = 2.1673

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the weight of a nickel is 80% of the weight of a quarter.if a nickel weighs 5grams how much does a quarter weigh?
Rasek [7]
Just divide 100% by 80% and multiply that answer by 5. I'm pretty sure that's how you do it.
8 0
3 years ago
What is the sum of the geometric series in which a1 = −5, r = 3, and an = −405?
xxMikexx [17]
a_1=-5;\ r=3;\ a_n=-405\\\\a_n=a_1r^{n-1}\\\\subtitute\\\\-5\cdot3^{n-1}=-405\ \ \ |divide\ both\ sides\ by\ (-5)\\\\3^{n-1}=81\\\\3^{n-1}=3^4\iff n-1=4\to n=5\\\\S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\S_5=\dfrac{-5(1-3^5)}{1-3}=\dfrac{-5(1-243)}{-2}=\dfrac{5\cdot(-242)}{2}=5\cdot(-121)=-605\\\\\\Answer:\boxed{S_5=-605}
4 0
3 years ago
No is divisible by 7 if n is divided by 2 3 4 5 the remainder is 1 what is the smallest value that n could b
kvv77 [185]

Answer: 301

Step-by-step explanation:

Since, The LCM of numbers given numbers 2 ,3,  4 and 5 is 60.

Thus, the number that gives 1 as reminder and is the multiple of 7 is  60 n + 1

Where n is any positive integer,

Since, For n = 5,

The number is, 60\times 5 + 1 = 300 + 1 = 301

Which is divisible by 7.

Thus, the required number is 301.

Note : For n = 1, 2 3 and 4, numbers are 61, 121, 181 and 241

But they are not the multiple of 7.

7 0
3 years ago
Read 2 more answers
Write each mixed number as m/n in simplest form where m/n are integers 7 7/9
Svetach [21]
70/9

7 is equivalent 63/9, and then you add 63 and 7 to get 70/9
6 0
3 years ago
If you have 100 entries out of 1200 what are your chances
swat32
100/1200= x/100
cross multiply

(1200 * x)= (100 * 100)

1200x= 10000
divide both sides by 1200

x= 8.333% winning chance


LOSING CHANCE
100% - 8.333%= 91.667%


RATIO OF WINNING TO LOSING
100 tickets= winning chance
1200 total - 100= 1100 losing chance

100:1100
simplify by 100

1:11 odds of winning to losing


ANSWER: The chance of winning is 8.333% and the chance of losing is 91.667% or 1:11.

Hope this helps! :)
4 0
3 years ago
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