Square root + exponentiation - practice problems - last page
Number of problems found: 58
- Geometric sequence
In the geometric sequence is a4 = 20 a9 = -160. Calculate the first member a1 and quotient q. - 3d vector component
The vector u = (3.9, u3), and the length of the vector u is 12. What is, is u3? - Computer
The school purchased the computer 10000. Each year, the price of a computer always depreciates the same percentage as the previous year. After four years, the value of the computer is reduced to 1300. How much percent was the declining price of the comput - Roots
Calculate the square root of these numbers:
- 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. - 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. - Rhombus
Find the length of the other diagonal and the area of the rhombus. The perimeter of a rhombus is 40 cm, and one of the diagonals is of length 10 cm. - 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: - Rectangular cuboid
The rectangular cuboid has a surface area 5447 cm², and its dimensions are in the ratio 2:4:1. Find the volume of this rectangular cuboid. - 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? - Power
Number left(sqrt(14 * sqrt[ 4 ] (14)) right) 17 can be written in the form 14^x. Find the value of x. - Biquadratic
By introducing a new variable, solve the biquadratic equation: - x 4 +277 x² -15876=0
- Event probability
The probability of event N in 5 independent experiments is 0.4. What is the probability that the event N occurs in one experiment (chance is the same)? - Triangle SAS
Calculate the triangle area and perimeter if the two sides are 105 dm and 68 dm long and angle them clamped is 50 °. - Circle chord
What is the length x of the chord circle of diameter 115 m if the distance from the center circle is 11 m? - Cube diagonal
Determine the length of the cube diagonal with edge 23 km.
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