Step-by-step explanation:
P(t) = 12,000 (2)^(-t/15)
9,000 = 12,000 (2)^(-t/15)
0.75 = 2^(-t/15)
ln(0.75) = ln(2^(-t/15))
ln(0.75) = (-t/15) ln(2)
-15 ln(0.75) / ln(2) = t
t = 6.23
Answer:
Perimeter = 36.8 ft
Step-by-step explanation:
<u>Step 1: Add the straight sides together</u>
3+3+3+3+3+3 = 18 ft
<u>Step 2: Find the perimeter of the semi-circles</u>
The formula for the perimeter of semi-circle: 1/2 π × d
Diameter = 12 - 3 - 3 = 6, because the whole length is 12 minus the 6 ft of other stuff.
Now, 1/2π * 6 = 9.4 ft
But, there are two semi-circles so it will be 9.4 + 9.4 = 18.8 ft
<u>Step 3: Add all of them</u>
18 + 18.8 = 36.8 ft
Now if we have 7.5 pounds of apples first we need to convert 1 pound into ounces.
1 pound = 16 ounces.
Now we know how many ounces are in one pound. So lets take the 16 ounces for 1 pound and multiply by the 7 full pounds of apples. This excluding the 1/2 pound of apples.
7 x 16 = 112
(7 being the weight in pounds of the apples, 16 being 16 ounces in one pound, and 112 is how any ounces are in 7 pounds of apples.)
So now we have the amount of ounces in 7 pounds of apples.
But we are not done. We still have the 1/2 pound of apples. So we take 16 being 1 pound of apples and divide it by 2.
16 divided by 2 = 8
That 1/2 pound of apples = 8 ounces.
So now we have our 7 pounds of apples in ounces (112) and our 1/2 pound of apples in ounces (8)
So we add these back up in ounces
112 + 8 = 120.
So now we can conclude:
7.5 pounds of apples is 120 ounces
Hope this helps!
Brainliest is always appreciated if you feel its deserved! :)
Answer:
5(11+7) = 55+35
Step-by-step explanation:
The distributive property states that when multiplying a term with a sum multiply into each term within the sum. Here you have a sum. You’ll reverse the distributive property by factoring our a term which could multiply into each. 55 and 35 both have 5 as a factor. This makes the expression 5(11+7) = 55+35.
