1.65 rounded to the nearest whole number is 2
Hey there! I'm happy to help!
We have 110 minus a certain percent of 110 equals 88. Let's call this percent p and solve.
110-110p=88
We subtract 110 from both sides.
-110p=-22
We divide both sides by 110.
p=0.2
Therefore, the percent decrease is C) 20%.
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Answer:
-7
Step-by-step explanation:
the co ordinate of f(-5) is -7
Hello!
First of all let's look at points L and L'. The coordinates for L are (-5,-4) and the coordinates for L' are at (0,3).
First of all let's think about the vertical translation. This is the change in the y-axis. As you can see, the difference of 3 and -4 is 7. This means there was a vertical translation of 7, or it was moved up 7 units.
Now we have the horizontal translation, or the change in the x-axis. The difference of -5 and 0 is 5. Therefore it had a horizontal translation of 5.
(-5,-4)⇒(0,3) was translate up 7 units and translated right 5 units.
I hope this helps!
It is the 1st equation at the top.
Reason: First check the equations to check that the initial amount is 497 kg. You can do this by setting x = 0 into all of the equations. The 3rd and 4th equations evaluate to 2 when x = 0 and so you can eliminate the bottom 2 equations immediately. Equation # 2 does not work since the half-life value of 1.040 kg is way to small (significantly smaller than half of 497 kg).
You can check that equation # 1 is the right one, by setting x = 0 and getting
y = 497*(1/2)^[(1/38) * 0] = 497
so the initial amount is 497
Also check that there is 1/2 the amount at time 38 (since the half-life is 38 days)
y = 497 * (1/2)^[(1/38) * 38] = 248.5
248.5 kg is half of 497 and so this checks out for equation # 1.
Since we know equation # 1 is good, now we evaluate at x = 4 to get
y = 497 * (1/2)^[(1/38) * 4] = 462.029
so our answer to the thousandth places is 462.029 kg.