A negative exponent for powers of 10 represent numbers between 0 and 1.
Answer:
![c(t) = 120 [0.7]^{t}](https://tex.z-dn.net/?f=c%28t%29%20%3D%20120%20%5B0.7%5D%5E%7Bt%7D%20)
Step-by-step explanation:
At the moment a certain medicine is injected, its concentration in the bloodstream is 120 milligrams per liter.
From that moment forward, the medicine's concentration drops by 30% each hour.
Therefore, the medicine concentration c(t) in mg/liters after t hours will be modeled as
![c(t) = c(0) [1 - \frac{30}{100}]^{t}](https://tex.z-dn.net/?f=c%28t%29%20%3D%20c%280%29%20%5B1%20-%20%5Cfrac%7B30%7D%7B100%7D%5D%5E%7Bt%7D%20)
⇒ ![c(t) = c(0) [1 - 0.3]^{t}](https://tex.z-dn.net/?f=c%28t%29%20%3D%20c%280%29%20%5B1%20-%200.3%5D%5E%7Bt%7D%20)
⇒ . (Answer)
Answer:
True statements:
1. Fractions and ratios cannot have zero in the denominator.
3. Some fractions and ratios can be written as mixed numbers. Fractions and ratios can be simplified the same way.
Step-by-step explanation:
1. Fractions and ratios cannot have zero in the denominator: <u>True. </u>
<u>Reason- </u>If the denominator in any fraction /ratio is zero, then it means the whole fraction will be equal to infinity (not-defined value)
2. Fractions and ratios are different names for the same thing. <u>False</u>
<u>Reason- </u>A fraction represents a number from the whole of something, in which the denominator represents the total number of equal parts of the whole. But, a ratio represents a comparison between two quantities.
3. Some fractions and ratios can be written as mixed numbers. Fractions and ratios can be simplified the same way. <u>True</u>
<u>Reason-</u>The simplification method can be same but these two are not same quantities.
Answer:
answer-8 Inches.
Step-by-step explanation:
Area of triangle=160 square inches
Base of triangle=40 inches
- area of triangle=1/2*base*height
160=1/2×40×height
160 =20×height
160/20=height
height=80 inches.
