Direct relationship - high school - practice problems
Number of problems found: 79
- The capacitor
The parallel square plates of a 4.5µF Teflon capacitor are 3.2 mm apart. What is the area of the plate? - The intensity
The light intensity on a screen is inversely proportional to the square of the distance between the screen and the light source. If a screen is illuminated by a light source 20 m away, the intensity is one-fifth of what is required. Where should the light - Two similar 2
Two similar polygons have corresponding sides 15 inches and 6 inches. If the area of the first is 2700 square inches, what is the area of the second? - Tax reports
If 1 1/2 accountants can do 2 1/2 tax returns in 1 1/2 hours, how many tax returns can three accountants do in 3 hours? - Square function
If z varies jointly as x and the square of y, and z = 20 when x = 4 and y = 2, find z when x = 2 and y = 4. - Intersections 49433
Draw a graph of the function given by the equation y = -2x +3, determine its intersections with the coordinate axes, and complete the missing coordinates A [3;? ], B [?; 8]. - Statistical survey
Write TRUE OR FALSE for each question: 1 Standard deviation measures central location. 2. The most frequent observation in a data set is known as the mode. 3 The most passive method of data collection is observation. 4 Access time for secondary data is sh - General line equations
In all examples, write the GENERAL EQUATION OF a line that is given in some way. A) the line is given parametrically: x = - 4 + 2p, y = 2 - 3p B) the slope form gives the line: y = 3x - 1 C) the line is given by two points: A [3; -3], B [-5; 2] D) the lin - Coils of transformer
The primary coil of the transformer has 400 turns. A current of 1.5 A passes through it and is connected to a voltage of 220 V. For the secondary coil, find the voltage, current, and a number of turns if the transformation ratio k = 0.1. - Right triangle - ratio
The lengths of the legs of the right triangle ABC are in ratio b = 2:3. The hypotenuse is 10 cm long. Calculate the lengths of the legs of that triangle. - Circumference 20323
A triangle with sides a, b, and c whose circumference is 26 cm is true: ratio a:b is 4:3, and ratio b:c is 1:2. Find the lengths of the sides of this triangle. - Dependence 15181
The pool has 12 flow holes, and 3 of them are open. It fills up in 24 hours. Express the dependence of the time for the pool to fill on the number of open flow holes and construct a graph. - Circle described
The circle radius described in the right triangle with a 6 cm long leg is 5 cm. Calculate the circumference of this triangle. - Pupils
There are 32 pupils in the classroom, and girls are two-thirds more than boys. a) How many percents are more girls than boys? Round the result to a whole percentage. b) How many boys are in the class? c) Find the ratio of boys and girls in the class. Writ - Axial symmetry
Find the image A' of point A [1,2] in axial symmetry with the axis p: x = -1 + 3t, y = -2 + t (t = are real number) - Imagine
Imagine that a unit of air at a temperature of 25°C rises a mountain range 3,000 meters high on the windward side and which descends to 1,200 meters on the leeward side, assuming that the air will remain dry. What will its temperature be when it crosses t - Air thermal
Imagine that a unit of air rises at 3000 meters high. If the temperature decreases 6 degrees Celcius for every 1000 meters, what will be its temperature at 1400 meters, 2000 meters, 2500 meters, and when it reaches the 3000-meter elevation? Starting tempe - Describe 6648
Images of three numbers are marked on the number line: 0, m, 3m-1. The marked pieces are the same length. a) express the ratio m:(3m-1) b) mark and describe the image of the number 1 on the number line. - Ratio of edges
The cuboid dimensions are in a ratio of 3:1:2. The body diagonal has a length of 28 cm. Find the volume of a cuboid. - Children's 6140
The store received a total of 666 pairs of children's, men's and women's shoes. Men were 2.5 times less than children, while children were 1.4 times more than women. Express in whole numbers the ratio of the number of pairs of children's, men's, and women
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