A piece of lead falls from a height of 100 meters on a fixed non _ conducting slad which brings it to rest. Show that it is temperature immediately 7.5°c, knowing that the specific heat of lead is 0.13 J/g°c.)
The Fernandos bought a 55” LED Television. It had a cash prize of Php 98,700. They agreed to pay for it in six (6) months with monthly payments. If the carrying charge was Php 7,800 what was their installment payment?
A cart travels continuously around a circular track with a constant acceleration. The track has a length of 10km.
At a specific time, t = 0, its position is measured.
It takes half an hour for the cart to complete one full lap of the track.
It takes two hours (from time t = 0) for the cart to complete ten full laps of the track. The following formula describes this situation
s = u0t + a t^2 /2
where
• s is the displacement, measured in km
• u0 is the velocity of the cart when t = 0, measured in kmh-1
• t is the time taken, measured in hours
• a is the acceleration of the cart, measured in kmh-2
a) Use the information about the position of the cart after half an hour to write a formula linking u0 and a.
b) Use the information about the position of the cart after two hours to write another formula linking u0 and a.
c) Use your equations to find the initial velocity of the cart and its acceleration.
9 Water flows through a pipe AB 1.2m diameter at 3m/s and then passes through a pipe BC of diameter 1.5m. At C, the pipe branches. Branch CD is 0.8m in diameter and carries one third of the flow in AB. The flow velocity in branch CE is 2.5m/s. find the volume rate of flow in AB, the velocity in BC, the velocity in CD and diameter of CE
An inductance of L Henrys and a resistance of 8 ohms are connected in
series with EMF of 100 Volts. If the current is initially zero and is equal to 18
amperes after 1 second. Find L and find the current after 0.2 s.
if y=3,125,000e-0.23x measures the likelihood of an elderly person surviving a fall at home (x is years, y is probability of survival). find the chance that a 70 year old survives a fall at home?
1.Which principle does not apply in terms of activities and content in a Vygotskian classroom
a.the ZPD serves as a guide for curricular and lesson planning
b. Learning occurs in a vacuum ,the link to the real world is rarely made
c. Classroom activities show the reality based and applicable to the real world
d. Learning and development are social , collaborative activities
2. What is considered as a strand of mathematical proficiency
a. Strategic competence
b. Procedural fluency
c. Rote learning
d. Productive disposition
1. Good problems have multiple entries,what does it imply?
a. Learners should not draw on their own network of mental tools, concepts and ideas
b. Teachers should dictate how learners think about a problem and solve it.
c. The diversity of learners in the classroom should not be accommodated to avoid problems.
d. Learners should use different ideas of their own to solve a problem
2. What can an integrated network of concept also be called
a. Thinking tools
b.social interactions
c. Cognitive schemes
d. New knowledge and skills
1. What does doing mathematics mean
a.mathematics is based on memorization of facts,formulas and procedures.
b.Mathematical procedures are meant to be solved as soon as possible
c.mathematics requires a good memory.
d.mathematics is a science of pattern and order
2. Which options relates to a low-level cognitive demand
a. Tasks that are usually represented in multiple ways
b. It requires that students engage with the conceptual ideas that underline procedures to successfully complete the task
c. There is no connection related to concepts
d. It requires considerable cognitive effort
The following information gives the numbers of journeys made by the delivery department of a small company: From: A B с D To A 0 3 4 2 B 1 0 0 6 С 1 2 0 2 D 4 3 0 0 The company has four different depots and the above table indicates that there was one journey made from depot A to Depot B and three journeys made from B to A and so on and so forth. .
This second table gives the loading costs per load for goods leaving each depots. Depot Cost (in 000) A k120 B k105 C k110 D k100 It costs k130000 to load for trip at Depot A. K115000 at Depot B and so on and so forth
a) i) Write these two sets of information as matrices
ii. Find the product of the two matrices
b) Explain the meaning of the entries in the product matrix