Examples for secondary school students - page 110 of 229
Number of problems found: 4578
- Justification 8468
The natural number n has at least 73 two-digit divisors. Prove that one of them is the number 60. Also, give an example of the number n, which has exactly 73 double-digit divisors, including a proper justification. - Set of coordinates
Consider the following ordered pairs that represent a relation. {(–4, –7), (0, 6), (5, –3), (5, 2)} What can be concluded about the domain and range for this relation? A. The domain is the y values of the ordered pairs. B. The range is the set of output v - GP - three members
The second and third of a geometric progression are 24 and 12(c+1), respectively, given that the sum of the first three terms of progression is 76. determine the value of c. - Accelerated motion - mechanics
With a total weight of 3.6 t, the delivery truck accelerates from 76km/h to 130km/h in the 0.286 km long way. How much was the force needed to achieve this acceleration? - Probability of malaria
A survey carried out at a certain hospital indicates that the probability that a patient testing positive for malaria is 0.6. What is the probability that two patients were selected at random (i) one is negative while the other tested positive (i) both pa - Two math problems
1) The sum of twice a number and -6 is nine more than the opposite of that number. Find the number. 2) A collection of 27 coins, all nickels, and dimes worth $2.10. How many of each coin are there? The dime, in United States usage, is a ten-cent coin. In - Six speeds
A drilling machine is to have six speeds ranging from 50 to 750 revolutions per minute. If the speed forms a geometric progression, determine their values.
- Three altitudes
A triangle with altitudes 4, 5, and 6 cm is given. Calculate the lengths of all medians and all sides in a triangle. - Gasoline-oil ratio
The manufacturer of a scooter engine recommends a gasoline-oil fuel mixture ratio of 15 to 1. We can buy pure gasoline and a gasoline-oil mixture containing 75% gasoline in a particular garage. How much gasoline and gasoline-oil mix do we need to make 8.0 - Possibilities 8450
There are 11 pupils in the group, among them just one Martin. How many possibilities are there for distributing 4 different books to these pupils if each is to receive at most one and Martin just one of these books". - Three members GP
The sum of three numbers in GP (geometric progression) is 21, and the sum of their squares is 189. Find the numbers. - Eq2 2
Solve the following equation with quadratic members and rational function: (x²+1)/(x-4) + (x²-1)/(x+3) = 23 - Isosceles triangle 9
There is an isosceles triangle ABC where AB= AC. The perimeter is 64cm, and the altitude is 24cm. Find the area of the isosceles triangle. - Probability 8445
A soccer team player will score a goal from a penalty kick with a probability of 0.8. The goalkeeper has a penalty kick success rate of 0.4 What is the likelihood that: a) - a goal is scored during the execution of one kick b) - that a goal is not scored - Investment 2
Jack invested $5000 in a 5-month term deposit at 4.7% pa. At the end of the five months, Jack reinvested the maturity value from the first deposit into an 11-month term deposit at 7.3% pa. What is the maturity value at the end of the second term deposit?
- An investment How long will it take for an investment to double at a simple interest rate of 5.10% per annum? Express the answer in years and months, rounded up to the next month.
- Braking distance
The car travels at an average speed of 12 km/h and detects an obstacle 10 m in front of it. At 1 m in front of the obstacle, it already runs 2 km/h. What is the braking distance? What is the required deceleration for a stop: A) 1m B) 1s? - Customer 8436
The customer paid 143 euros for the goods after a 20% discount. But he wants to exchange all goods for goods in the total amount of 233e. She still has a 20% discount on this amount. How many euros does the customer have to pay for the returned goods? - Tabitha
Tabitha manufactures a product that sells very well. Her facility has a capacity of 241,000 units per year. The fixed costs are $122,000 annually, and the variable costs are $11 per unit. The product currently sells for $17. a. What total annual revenue i - Christmas 8430
The table shows the data that the family spent on Christmas presents last year. This year, they plan to reduce expenses by 20% compared to last year. How many euros will the family save on gifts compared to last year? Books 50.50 Cosmetics 35.00 Toys 25.5
Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
