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4+4-7+17+89+765


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


The value of a washing machine is given by the formula ,where t is the number of years past 2000, with t = 0 corresponding to 01 January 2000 . a) Determine the value of the machine at the beginning of the year 2000. b) Determine the value of the machine at the beginning of the year 2005. c) By how much did the machine depreciate in value from the beginning to the end of the year 2001? d) When the value of the machine is R2000, the machine is replaced. How many years can the machine be used before it is replaced

the value of a holiday resort is given by the formula , where t is the number of years past 1980 (01 January 1980 is taken as t = 0), and V is in thousands of Rand. a)Determine the value of the resort at the beginning of the year 1980. b) Determine the value of the resort at the beginning of the year 1990. c) By how much did the value of the resort increase between the beginning and the end of the year 1981?d) In which year will the value of the resort triple from its original (January 1980) value? 


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?


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