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h(t)=-5t^2+21t


"x+\\sqrt{12-\\sqrt{x}}=12"

Solve this equation for x.

Please provide the full steps.


7. Manila, the most populous city, has approximately 4.12x10^7 people


living in it. The population of the entire National Capital Region (NCR) is


approximately 3.1X10^8 people. About how many times greater is the


population of NCR than the population of Manila?


8. A box contains 5.125X10^4 thumb tucks. The mass of each thumb tuck is


8.1X10^-6 kilograms. What is the combined mass of the thumb tucks in


the box?


9. A microscope is set so it makes an object appear 4.3X10^3 times larger


than its usual size. A virus has a diameter of 2.7X10^-8 meter. How large


will the diameter of the virus appear when it is viewed under the


microscope?


10. 1.2 yottameter to yoctometer


2. The growth in demand for computer hardware in a college is given by the equation t Q = )025.1(200 , where t is in months.



i) Calculate the demand when t = 0, 3, 6, 10 months.



ii) Calculate the time taken for the demand to increase to 300.



iii) Graph the demand for t = 0 to 30, hence confirm the answers to (i) and (ii).

the ratio of girls to boys in a school is 3:7. on a Monday, 1/4 of the girls were absent and 1/6 of the boys were absent. if 16 fewer learners had been absent, then 7/8 of the school would have been present. calculate the number of learners present at school that day


Nate is culturing bacteria that have a growth rate of 10% per hour. If the current population is 12,800 bacteria, how many bacteria will there be in 8 hours?

A person walks 100m in 5 minutes, then 200m in 9 minutes and finally 50



in 4 minutes. Find its average speed?


What is the speed of a rocket that travels 800m in 13s?


TR = 20Q - 4Q


TC = 16 - Q


How many units should be produced to maximise the profit?

Q = 12000 - 60P




C (Q) = 10000 + 4Q




What is the company's profit function?

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