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1. The volume sample of gas is 750 mL at 60°C and 0.7 atm. At what temperature will the sample 1.75 L occupy under a pressure of 1.80 atm?
Which of the following statement(s) is/are correct?
a) In South Africa, money is created exclusively by the South African Reserve Bank.
b) The stock of money consists largely of bank deposits and banks create these deposits by making loans.
c) Money creation by banks is constrained by the demand for bank loans.
d) The South African Reserve Bank uses changes in interest rates as an attempt to regulate the rate at which new money is created.
e) The stock (quantity) of money in the economy is essentially determined by the interaction of the interest rate and the independent supply of money.
A number is called a happy number, if you start with the given number
and arrive at 1 by repeating the following process (as illustrated in the below example): (a)
compute the sum of the squares of given number digits (b) if the resultant value is 1, then
the number is happy number, else execute point (a) for the newly produced number.
Note that if a number is not a happy number, there will be an endless loop to this execution.
Goal: In this question, you are required to write C++ code that checks whether the number
entered by the user is a happy number or not for 10 cycles/iterations only.
Example: Assume a number 19
Number Computation Result cycle/iterations
19 1
2 + 9
2 82 1
82 8
2 + 2
2 68 2
68 6
2 + 8
2 100 3
100 1
2 + 0
2 +0
2 1 4
The value of serum sodium in healthy adults approximately follows a normal distribution with a mean of 141meq/l and standard deviation of 3meq/l
(a) What is the probability that a normal healthy adult will have a serum sodium value above 147meq/l ( 5 marks)
(b) What is the probability that a normal healthy adult will have a serum sodium value below 130 meq/l ( 5 marks)
(c) What is the probability that a normal healthy adult will have a serum sodium value between 132 and 150meq/l (5 marks)
A basketball player throws the ball at the different angles. At which of the following angles will the ball achieve the maximum height? A. 35.0° B. 45.0° C. 65.0° D. 70.0°
Which of the following is a linear equation in x; y and z?
1. −x−1 + e−
√
2y = 3z, where e = 2.71828 ....
2. 2π ln(e−1
z ) − 2y + z = ln(3) − x.
3.
p
y2 + 4y − 2z = 7x.
4. y + 4y − 2z = 7x−2.
A pub Uses a periodic review system where it checks the liquor stock every Tuesday and place an order which arrives on Thursday the pub has observed the demand for beer averages 7 units per day with a standard deviation of two units in any given week they should like to be 90% sure they don't run out of peer before the order arrives on Tuesday if they have 10 units on b and hand how many units should they order
A.56.84 units
B.59.00 units
C.41.70 units
D.52.60 units
Your job is to lift 25.0 kg packaged baxes a vertical distance of 1.0 m from the ground onto the bed of a delivery truck. How many packaged boxes would you have to load onto the truck in one minute for
your average output power that goes into lifting the boxes to be 0.11 hp?
A 65 kg mountain climber climbs through a vertical rope at a constant acceleration from rest to a
1 of 1.25 m/s in 10.0 s and feels no appreciable air resistance. How much power must the
speed m/s in 10.0s and alr must
climber imparts on the vertical rope?
QUESTION 2 2.1. Find the change of basis matrix P∁←ℬ for the bases
ℬ = {(9, 2), (4, −3)} and ∁= {(2, 1), (−3, 1)} of ℝ2 .
2.2.Verify [v]∁ = P∁←ℬ[v]ℬ for v = (−5, 3).
#339914 on Dec 2023