Power - practice problems - page 3 of 30
Number of problems found: 599
- Geometric series
How many terms of the geometric series 8+4+2+1+0.5+... must be taken for the sum to get within 10 to the power minus 4 of its sum to infinity?
- Cost and sell price
A wholesaler sold items at a profit of 20% of the sales, which was a profit of P52.80. What were the cost price and selling price of the item?
- Simple interest 5
At what simple interest rate should Renel invest his P45,000 so that it earns P5,500 in 1 year and 5 months?
- Opposite or reciprocal
How is 4 related to 4³? ...
- Triangle 82
Triangle PQR has vertices located at (2, 2), (5, -4), and (-4, -1). What type of triangle is triangle PQR?
- Consecutive Interior Angles
PQRS is a trapezium in which PQ is parallel to SR and ∠P = 130 ̊, ∠Q = 110 ̊. Find the remaining angles.
- The width 2
The width of stamp M is 4/3 inches, and the length is 7/5 inches. The dimensions of stamp M are 7/6 times the dimensions of stamp P. What is the length of stamp P in inches?
- Body mass index
Compute for BMI, then classify: Nr; weight ; height 1; 35 kg ; 1.25 m 2; 40 kg; 1.40 m 3; 50 kg; 1.75 m 4; 55 kg; 1.65 m 5; 63 kg; 1.23 m
- Cplx sixth power
Let z = 2 - sqrt(3i). Find z6 and express your answer in rectangular form. if z = 2 - 2sqrt(3 i) then r = |z| = sqrt(2 ^ 2 + (- 2sqrt(3)) ^ 2) = sqrt(16) = 4 and theta = tan -2√3/2=-π/3
- Quadratic 83667
A quadratic equation is given: x²-x-2=0 Without solving this equation, construct a quadratic equation whose roots are the square of the roots of the given equation.
- Triangles 83634
We have similar triangles ABC with angle CAB=45° and angle ACB= 30° and a similar triangle OPN. What is the angle NOP in a similar triangle?
- Transformation 83561
A current of 0.5 A flows through the transformer's primary coil connected to a voltage of 120 V. Calculate the voltage and current in the secondary coil if the transformation ratio is equal to the number 5.
- Purchase - owners
The house is divided between the owners in shares of 1/8, 1/12, 1/6, 1/8, 1/4, and 1/4. Except for one with a 1/4 share, they decide to sell their shares. How will he divide the purchase price of CZK 12960000?
- Collection 83537
Nine-year-old Lucia is preparing for testing. He solves a collection of 40 tasks per day. He will need 9 days to solve all the tasks. How many days earlier would she finish if she solved 60 tasks a day?
- Engine power
Calculate the engine power of a truck moving at a constant speed of v= 30 km/h on a road with a 5% gradient when the weight of the truck with the load m= 5000 kg!
- Quadrilateral 83421
Calculate the volume of the shell of a quadrilateral prism with a rhombus-shaped base with dimensions a=6cm, va=40mm. The height of the prism is 81 mm.
- Seamstresses 83192
Three sewers sew 7 skirts in 15 hours. How many skirts can 2 seamstresses make in 50 hours?
- Original model
When drying, the modeling mass loses 36% of its original volume. If the cube's volume is 5.12 dm³ after drying, what was the original length of the edge?
- Cylinder - curved area
The curved area of the rotary cylinder is three times greater than the area of one base of this cylinder. The radius of the base of the cylinder is 10 cm. What is the surface area of the cylinder?
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