Functions - math word problems - page 310 of 311
In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. The set of inputs is commonly referred to as the domain, while the set of outputs is referred to as the range.A function is typically represented by an equation that describes the relationship between the input and output. For example, the equation y = 2x + 1 describes a linear function, where y is the output and x is the input. The input (x) can be any real number, and for each value of x, there is a corresponding output (y) given by the equation.
Functions can also be represented graphically, with the input values on the x-axis and the output values on the y-axis. A graph of a function is a set of ordered pairs (x, y) that satisfy the equation.
There are different types of functions, such as polynomial functions, exponential functions (y=e^x), and trigonometric functions (sin,cos,tan ...), each with their own unique properties and behaviors.
Number of problems found: 6206
- Salary raise
The monthly salary was 620 Eur. During the year, it was raised to 727 Eur. Calculate the month from salary was increased that employee earned 7547 Eur during the whole year.
- Bicycle wheel
A bicycle wheel has a diameter of 60 cm. Approximately how many times does the wheel rotate at a 2.5 km long trip?
- School trip
The class has 19 students. How can students be accommodated in the hostel, where available 3× 2-bed, 3× 3-bed and 1× 4-bed rooms? (Each room has its unique number)
- Report card
Ivor hit 4× grade 5 at the beginning of the school year. How many times must you now catch grade 1 to get grade 2 on the report card?
- Seating
How many ways can 7 people sit on 5 numbered chairs (e.g., seat reservation on the train)?
- N-gon angles
What is the sum of interior angles 8-gon? What is the internal angle of a regular convex 8-polygon?
- Slope of track
Calculate the average slope (in permille and even in degrees) of the rail tracks between Prievidza (309 m AMSL) and Bratislava (152 m AMSL) if the track is 158 km long.
- Reconstruction of the corridor
Calculate how many minutes will be reduced to travel a 167 km long railway corridor, where the maximum speed increases from 120 km/h to 160 km/h. Calculate how many minutes will shorten travel time if we consider that the train must stop at 6 stations. Ea
- Ultra expensive ramps
The village Čakajovce have two-level railway crossings (the ramps), the railway company ZSR decided to replace it. The price for upgrading the two crossings is 302065 Euros. Calculate how we can obtain many houses for 77000 euros at this price. Calculate
- Party
At the party, everyone clinked with everyone. Together, they clink 406 times. How many people were at the party?
- Right triangle Alef
The obvod of a right triangle is 120 cm, and the hypotenuse is 51 cm long. Determine the lengths of the legs.
- Lottery
The lottery is 60000 elk, in which 6200 wins. What is the probability that the purchase of 12 elks won nothing?
- Dice
How many times must you throw the dice, and was the probability of throwing at least one päťky greater than 50%?
- Trolleybus
Trolleybus line No. 215 measured 30 km. If the trolley bus goes faster by 4 km/h, the way there and back would be shorter by 39 minutes. Calculate the trolley bus speed and time for a return trip.
- When will I be a millionaire?
Barry monthly sends 280 euros to the bank, which he deposits bear interest of 2.1% p. A. Calculate how many months Barry must save to save 1000000 euros. Inflation, interest rate changes, or bank failures are ignored.
- Temperature calculus
Calculate the percentage of temperature stúpla if changed from 3°C to 7°C.
- Phone numbers
How many 9-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated?
- Required reserves
Calculate the minimum amount of money the bank must hold in cash from your deposit 2750 Eur. How much money is ideally created in the banking system from your deposit if the level of minimum reserve requirement is 2.15%? Consider fractional reserve system
- Right triangle
Calculate the unknown side b and interior angles, perimeter, and area of a right triangle if a=10 cm and hypotenuse c = 16 cm.
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