Exponentiation - high school - practice problems - page 8 of 9
Number of problems found: 177
- Sum-log
The sum of two numbers is 32, and the sum of their logarithms (base 10) is 2.2. Determine these numbers. - Funnel
The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 7.1 liters of water. - Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism? - Balls
Three metal balls with volumes V1=81 cm³ V2=96 cm³ and V3=28 cm³ melted into one ball. Determine its surface area.
- Deposit
If you deposit 719 euros at the beginning of each year, how much money do we have at 1.3% (compound) interest after 9 years? - Future of libraries
You know that thanks to the Internet, electronic communications and the development of online resources on the Internet annually decline, the number of traditional readership by 17%. This deal is the irreversible evolutionary shift from old books from lib - Sale
If the product was twice price cut by 25%, what percentage was the price cut in total? - JUDr. Usury
Judge JUDr. Usury approved the agreement on guilt and punishment were confessed to paying daily interest 0.18%. How big is a yearly interest? The year has 360 days. - Machine
The price of the new machine is € 65000. Every year is depreciated 12% of residual value. What will be the value of the machine after 2 years?
- Area codes
How many 6 digit area codes are possible if the first number can't be zero? - Geometric sequence 3
In geometric sequence is a8 = 312500; a11= 39062500; sn=1953124. Calculate the first item a1, quotient q, and n - number of members by their sum s_n. - Ray
Light ray loses 1/14 of brightness passing through a glass plate. What is the brightness of the ray after passing through 10 identical plates? - R Trapezium
Rectangular trapezium has bases 21 and 10 and area 92 cm². What is its perimeter? - Exp
If sqrt[7](20²-12²) = sqrt[n](256), then n is:
- No. of divisors
How many different divisors have number 13 4 * 2 4? - Events
Event W has the probability of 0.57. What is the probability that the event W occurs in 2, 6, 5 try? - Crystal
The crystal grows every month 1.2 permille of its mass. How many months to develop a crystal from weight 177 g to 384 g? - Pool
If water flows into the pool by two inlets, fill the whole for 20 hours. The first inlet filled the pool 8 hour longer than the second. How long does the pool take to fill with two inlets separately? - Equation
How many real roots have equation x³=x?
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