Hello!
<u><em>Answer: </em></u>
<u><em>1. =-6</em></u>
<u><em>2. =39</em></u>
<u><em>3. =-603</em></u>
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Explanation: This question's it's about the order of operations. It stands for p-parenthesis, e-exponents, m-multiply, d-divide, a-add, and s-subtract. It can also go left to right. (PEMDAS)
1. -4(3-1)+2
Do parenthesis first.
Then do multiply left to right.
Add left to right.
*Answer should be have negative sign.*
Answer: → 
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2. 3⋅[(30−8)÷2+2]
Do parenthesis first.
Then divide left to right.
Add left to right.
Multiply left to right.
*Answer should be have positive sign.*
Answer: → 
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3. 14(1-23)2+13
Do parenthesis first.
Then, you multiply left to right.
Add/subtract left to right.
*The answer must be have a negative sign*
Answer: → 
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Hope this helps!
Thank you!
Have a great day!
-Charlie
Answer:
2.47
Step-by-step explanation:
convert it to a decimal = 2.47058823....
then round that to a nearest hundredth = 2.47
Answer:
use logarithms
Step-by-step explanation:
Taking the logarithm of an expression with a variable in the exponent makes the exponent become a coefficient of the logarithm of the base.
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You will note that this approach works well enough for ...
a^(x+3) = b^(x-6) . . . . . . . . . . . variables in the exponents
(x+3)log(a) = (x-6)log(b) . . . . . a linear equation after taking logs
but doesn't do anything to help you solve ...
x +3 = b^(x -6)
There is no algebraic way to solve equations that are a mix of polynomial and exponential functions.
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Some functions have been defined to help in certain situations. For example, the "product log" function (or its inverse) can be used to solve a certain class of equations with variables in the exponent. However, these functions and their use are not normally studied in algebra courses.
In any event, I find a graphing calculator to be an extremely useful tool for solving exponential equations.
Answer: 2.815 kilograms
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Work Shown:
1 layer = 0.5 kg
5 layers = 5*(0.5 kg) = 2.5 kg
icing = 15 g = 15/1000 = 0.015 kg
1 candle = 100 g = 100/1000 = 0.1 kg
3 candles = 3*(0.1 kg) = 0.3 kg
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The five layers combine to 2.5 kg. On top of that we have 0.015 kg of icing, and then finally the three candles add 0.3 kg more weight.
The total weight is therefore: 2.5+0.015+0.3 = 2.815 kilograms
