A scientist measures the initial amount of Carbon-14 in a substance to be 25 grams.The relationship between A, the amount of Carbon-14 remaining in that substance, in grams, and t, the elapsed
time, in years, since the initial measurement is modeled by the following equation.
A = 25e 0.00012
In how many years will the substance contain exactly 20 grams (g) of Carbon-14
Give an exact answer expressed as a natural logarithm.
years

Answers

Answer 1

Answer:

Answer:

In(0.8)/-0.00012

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18x + 9y use the distributive property to write an equivalent expression

Answers

Hey there!
It looks like you have another factoring question!
Using our definition of the distributive property:
a(b+c) = ab+ac
We need to factor our or greatest common multiple, which here is 9.
9 times 2x = 18x and 9 times y = 9y
We have:
9(2x + y)
Once again, using the distributive property, multiply it out and you'll get 18x and 9y.
Hope this helps!

Explain why it works to break apart a number by place values to multiply

Answers

Because it is much easier to identify the place values when multiplying numbers. You can immediately sight the numbers to be multipied.

An example
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4x+6y+12=0 in MX+b form with explanation

Answers

$4x+6y+12=0\ \ \ \ /-4x;\ /-12\n\n6y=-4x-12\ \ \ \ /:6\n\ny=-(4)/(6)x-(12)/(6)\n\ny=-(2)/(3)x-2$

subtract 4x from both sides and it will be 6y=-4x+12y. Divide by 6 on both sides which will be y=-4/6+2 because you have to subtract 4x from both sides to get y alone and then divide by 6 to get it completely alone

What percent of 126 is 22?

Answers

$(22)/(126)\cdot100\%=(11)/(63)\cdot100\%=(1100)/(63)\%=17(29)/(63)\%\approx17.46\%$

22/126 = 17.46%
or
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How to identify the bases and faces of each figure then name the figure

Answers

What does the question say

which is steeper a hill that rises 2 feet for every 10 feet of run, or a hill that rises 2 feet for every 15 feet of run? Explain

Answers

Answer: Ok, the first hill rises 2 feet for every 10 feet of run.

So if both hills start in the ground where y = 0, we can write the height as a function of x in the next way: y = (2/10)*X so for every 10 feet you advance in x, you rise 2 feet in Y, where here 2/10 is the slope.

The second hill is described by y = (2/15)*X, so for every 15 feet in x, you rise 2 feet in y, and the slope is 2/15

Is easy to see that 2/10 > 2/15, so the slope of the first hill is bigger than the slope of the second hill, this means that the first hill is steeper than the second.

In order to figure this out you need to use slope intercept for for each of these hills. Let's say the first hill is HA and the second hill is B

slope intercept: y = mx + b

HA: y = (2/10)x
HB: y = (2/15)x

As you can see when you plot this on a graph, HB is steeper because the line rises more sharply.

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