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Note: You need to have your calculator in radians (RAD) mode for this task (since the angles are given in radians - i.e., π is featured). a) A current waveform in a robotic arm may be described by... i_s=13 cos (2πft-(π/4))(A), where frequency, f=1Hz and t represents time. Make time (t) the subject of this formula and hence determine a point in time when the current waveform has a magnitude of +10A .
Trigonometry
Mar 27, 2025
Susan has R1 000 that she invests in an account that pays 7.5% interest
compounded yearly. How much money does Susan have at the end of 5 years
Arithmetic
Mar 27, 2025
3. Find the difference between 111,123 and 198,002, Show how you calculated the
fifference.
Arithmetic
Mar 27, 2025
3. Define euthanize
Medicine
Mar 26, 2025
26. Reasoning Lorelei filled her 5 -gallon jug
with water. How many times could she fill
her 2 -quart canteen with water from the
jug? Explain.
Arithmetic
Mar 26, 2025
Allysa spent $35 to purchase 12 chickens. She bought two different types of chickens. American chickens cost $3.75 each and Delaware chickens cost $2.50 each. Write a system of equations that can be used to determine the number of American chickens, A, and the number of Delaware chickens, D, she purchased. Determine algebraically how many of each type of chicken Allysa purchased. Extension: Each American chicken lays 2 eggs per day and sells eggs by the full dozen for $2.50. Determine how much money she expects to take in at the end of the first week with her 12 chickens.
Algebra
Mar 25, 2025
Per mettere in movimento una slitta di massa m=7,1 kg
su un lago ghiacciato, Alice deve esercitare una forza di
6,0 N. Poi ferma la slitta per fare salire un bambino che
ha massa M=26 kg.
Qual è la nuova forza che deve esercitare per mettere
in movimento la slitta con il bambino?
Physics
Mar 25, 2025
7. Resuelvo las siguientes ecuaciones de segundo grado, factorizadas y fracciones algobraicas. a) x^{2} - x/2 = 1/3 - 2x/3 b) x^{2}/2-3x/5 = 1/5-x/6 c) 6(x+2)^{2} = 13(x+1)(x+2) d) (2x+1)(x+1) = 5(x+1) e)(4x^{2}-1)(x-5) = 0 f) x/(x+2) = 1/2(x-1)
Algebra
Mar 25, 2025
For each function below:
(1) Draw a neat sketch graph indicating the coordinates of the intercepts with the axes, the coordinates of the turning point and the equation of the axis of symmetry.
(2) Determine the domain and range.
(3) Determine the values of x for which the graph increases and decreases.
(4) Determine the maximum or minimum value of the graph.
(a) f(x)=(x+1)^{2}-4
(b) f(x)=-(x+1)^{2}+4
(c) f(x)=(x-1)^{2}-4
(d) f(x)=-(x-1)^{2}+4
(e) f(x)=(x-2)^{2}-1
(f) g(x)=(x+1)^{2}+2
(g) g(x)=-(x+1)^{2}-2
(h) g(x)=(x-2)^{2}-9
(i) g(x)=2(x+1)^{2}-2
(j) g(x)=(x-4)^{2}-2
Pre Calculus
Mar 25, 2025
Homework Origins and How Question Bank Helps
Who Invented Homework?
Homework dates back to the late 19th century, often being credited to an Italian educator named Roberto Nevilis as its creator. Nevilis introduced homework-like assignments as an extra means of reinforcing education outside school hours; although homework-type assignments existed prior to Nevilis. Indeed, ancient civilizations such as Greeks and Romans utilized similar strategies of reinforcing learning outside classroom hours. While Nevilis formalized this practice into homework as we know it today; its meaning has significantly evolved with different cultural and educational influences shaping its current meaning over time.
Does Homework Help Students Learn?
Yes, homework can be a useful tool for reinforcing what children learn in the classroom, but its efficacy is dependent on numerous things. According to research, homework that is purposeful and balanced can help students acquire crucial skills such as time management, critical thinking, and problem solving. However, excessive or badly designed schoolwork can cause stress and exhaustion. Homework works best when it is designed to reinforce key concepts, foster independent thinking, and provide opportunities for personal reflection. So, while homework can be beneficial, the trick is determining the appropriate amount and manner to help pupils learn without overwhelming them.
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