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3 years ago

Write the first five terms of the sequence defined by the explicit formula

Mathematics

1 answer:

zubka84 [21]3 years ago

8 0

Answer:

just substitute n for 1, then 2, then 3, then 4, then 5 and write your final values equal to them.

Step-by-step explanation:

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4 years ago

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3 years ago

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Determine the mechanical energy of this object a 1kg pendulum at a height of 1-meter

Lemur [1.5K]

Answer:

Step-by-step explanation:

Mechanical energy (ME) is Kinetic energy + potential energy

Where

Kinetic Energy (KE) = 1/2 * m * v^2

where m is the mass (in kg) and v is the speed of the object (in m/s)

and

Potential Energy (PE) = m*g*h

Where m is the mass (in kg) and g is the gravitational constant (9.81 m/s) and h is the height (in meters)

Hence

ME = KE + PE (note the pendulum DOES NOT have any speed, so v = 0, and thus KE = 0)

So,

$ME=KE+PE\\ME=\frac{1}{2}mv^2+mgh\\ME=\frac{1}{2}(1)(0)^{2}+(1)(9.81)(1)\\ME=0+9.81\\ME=9.81$

Hence, Mechanical Energy is 9.8 Joules (rounded to 1 decimal place). Correct answer is A.

7 0

3 years ago

Simplify a) a^5 divided by a^3

Ymorist [56]

The value simplified is a²

In a power division with equal bases - we subtract the exponents and keep the bases.

The representation of this expression in formula is given by:

$\large \sf a {}^{n} \div a {}^{m} = \boxed{ \large \sf a {}^{n - m} } \\ \\$

<h3>Resolution </h3>

$\large \sf a {}^{n} \div a {}^{m} = \boxed{ \large \sf a {}^{n - m} }$

$\large \sf a {}^{5} \div a {}^{3} = \purple{\boxed{ \large \sf a {}^{2} } } \\$

So, the answer of this expression is a²

5 0

2 years ago

Find x+y. Please help Please help

marshall27 [118]

Answer: x = 12, y = 50

Step-by-step explanation: 2y-5 and 95 are vertical angles and vertical angles are always congruent (equal). So, 2y - 5 = 95. 2y = 100. y = 50. Solving for x is slightly more difficult. 3x and 144 are linear pairs and linear pairs are adjacent and equal 180° because a straight line is 180°. So 3x + 144 = 180. 3x = 36. x = 12.

8 0

3 years ago