Answer:
a. 
b. 
Step-by-step explanation:
First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:
Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:
The rate is negative as it represents the amount of caffeine leaving the body at certain time.
25 sq rt of 3 = 43.3
30 degrees = X 60 = X sq rt of 3. 90 degrees = 2x
Answer:
van : 12 miles per gallon
cabinets: 3 cabinets a day
retail job for $500
Step-by-step explanation:
van: 240 miles/20 gallons = 12 miles per gallon
cabinets: 24/8= 3
jobs: $500 for 40 hours and $12 times 40 hours gets you $480
first job pays $20 bucks more
Answer:
Step-by-step explanation:
Given △KMN, ABCD is a square where KN=a, MP⊥KN, MP=h.
we have to find the length of AB.
Let the side of square i.e AB is x units.
As ADCB is a square ⇒ ∠CDN=90°⇒∠CDP=90°
⇒ CP||MP||AB
In ΔMNP and ΔCND
∠NCD=∠NMP (∵ corresponding angles)
∠NDC=∠NPM (∵ corresponding angles)
By AA similarity rule, ΔMNP~ΔCND
Also, ΔKAP~ΔKPM by similarity rule as above.
Hence, corresponding sides are in proportion
Adding above two, we get
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
