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HACTEHA [7]
3 years ago
14

Simplify. 1/4(1−2/3)^2+1/3

Mathematics
1 answer:
ad-work [718]3 years ago
3 0

Answer:

13/36

Step-by-step explanation:

1 - 2/3 equals 1/3 which is inside the parenthesis

square the number in parenthesis (1/3) and it equals 1/9

multiply the 2 fractions 1/4 and 1/9 to get 1/36

finally add 1/3 with 1/36

12/36 + 1/36 would equal 13/36

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Simora [160]

\bf \textit{the -6, simply means we move the dot 6 slots to the left}
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\stackrel{\textit{scientific form}}{1.4\times 10^{-6}}~\hspace{5em}\stackrel{\textit{engineering form}}{1.4E-6}~\hspace{5em}\underset{\leftarrow 6~slots}{\stackrel{\textit{standard form}}{0\underline{.000001}4}}

6 0
4 years ago
Read 2 more answers
What is 2 log x - logy - 2 log z written as a single logarithm?
Hitman42 [59]

Answer:

Log [x^2 / yz^2]

Step-by-step explanation:

2log(x) =log(x^2)

-log(y) = The minus sign means that you can divide it by first log(x^2)

-2log(z) =log(z^2), and the minus sign again means you can divide it by the first log(x^2)

So, the whole thing can be written like this:

Log(x^2) / [log(y)*log(z^2)], OR:

Log [x^2 / yz^2]

4 0
3 years ago
Which function f (x) , graphed below, or g (x) , whose equation is g (x) = 3 cos 1/4 (x + x/3) + 2, has the largest maximum and
Leya [2.2K]

Answer:

g(x), and the maximum is 5

Step-by-step explanation:

for given function f(x), the maximum can be seen from the shown graph i.e. 2

But for the function g(x), maximum needs to be calculated.

Given function :

g (x) = 3 cos 1/4 (x + x/3) + 2

let x=0 (as cosine is a periodic function and has maximum value of 1 at 0 angle)

g(x)= 3 cos1/4(0 + 0) +2

    = 3cos0 +2

     = 3(1) +2

     = 3 +2

     = 5 !

7 0
3 years ago
The director of marketing at a large company wants to determine if the amount of money spent on internet marketing is a good pre
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Answer: The value of the residual for advertising dollars spent equal to $1,020 and Profit equal to $17,500 is $417

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Advertising dollars=$1,020
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Predicted Profit=372.6+17,544→
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Residual=Predicted Profit-Profit→
Residual=$17,916.6-$17,500→
Residual=$416.6
Rounded to the nearest integer:
Residual=$417

Answer: The value of the residual for advertising dollars spent equal to $1,020 and Profit equal to $17,500 is $417
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4 years ago
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Answer:

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Step-by-step explanation:

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