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Wittaler [7]
3 years ago
12

Enabling Competencies like keeping passion for teaching alive, taking responsibility in my own personal and professional growth

and inspiring other teachers by setting my best example belong to which essential competency?
a. Becoming a better teacher everyday

b. Helping students to learn

c. Knowing and understanding what to teach

d. Engaging the community​
SAT
1 answer:
Elodia [21]3 years ago
5 0
C. Knowing and understanding what to teach
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An ice skater has a moment of inertia of 5. 0 kg∙m2 when her arms are outstretched. At this time she is spinning at 3. 0 revolut
Sindrei [870]

Answer:

2440.24 J

Explanation:

Moment of inertia, I1 = 5 kg m^2

frequency, f1 = 3 rps

ω1 = 2 x π x f1 = 2 x π x 3 = 6 π rad/s

Moment of inertia, I2 = 2 kg m^2

Let the new frequency is f2.

ω2 = 2 x π x f2

here no external torque is applied, so the angular momentum remains constant.

I1 x ω1 = I2 x ω2

5 x 6 π = 2 x 2 x π x f2

f2 = 7.5 rps

ω2 = 2 x π x 7.5 = 15 π

Initial kinetic energy, K1 = 1/2 x I1 x ω1^2 = 0.5 x 5 x (6 π)² = 887.36 J

Final kinetic energy, K2 = 1/2 x I2 x ω2^2 = 0.5 x 3 x (15 π)² = 3327.6 J

Work done, W = Change in kinetic energy = 3327.6 - 887.36 = 2440.24 J

5 0
2 years ago
A rectangle was altered by increasing its length by 10 percent and decreasing its width by p percent. If these alterations decre
valina [46]

Answer:

P=20

Explanation:

3 0
3 years ago
a high school had 1,200 students enrolled in 2003 and over 1,500 students in 2006. If the student population P grows as a linear
QveST [7]
Each year 100 students more
4 0
3 years ago
A circle has a diameter of 26 units what is the area
finlep [7]

Answer:

530.93 units squared

Explanation:

The formula for the area of a circle is pi*r^2. The radius is half the diameter. So, 26/2 = 13.

pi*13^2 = ?

pi*169 = 530.93

The area is 530.93 units squared.

3 0
2 years ago
James bennett also allocates wealth between youth and old age. He has no cash currently (in his youth), but will inherit $3000 i
Anvisha [2.4K]

The present value (PV) of $15,254.24 is the most James bennett can consume in his youth.

<u>Given the following data:</u>

  • Inheritance = $3000
  • Interest rate = 18%
  • Investment opportunity (youth) = $12,000
  • Investment opportunity (old age) = $15,000

To calculate the most James bennett can consume in his youth:

First of all, we would determine the future value of James bennett from his investment and inheritance as follows:

FV = 15000 + 3000

FV = $18000

Mathematically, the most James bennett can consume in his youth is given by this formula:

PV = \frac{FV}{(1+i)^n}

Substituting the given parameters into the formula, we have;

PV = \frac{18000}{(1+0.18)^1}\\\\PV = \frac{18000}{1.18}

PV = $15,254.24

Therefore, the present value (PV) of $15,254.24 is the most James bennett can consume in his youth.

Read more on present value here: brainly.com/question/24341207

4 0
2 years ago
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