Answer:
YES and NO
Step-by-step explanation:
The expression 16p⁴ will be written as (2p)⁴.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression will be solved as below:-
16p⁴ = ( 2 x 2 x 2 x 2)p⁴
16p⁴ = 2⁴ x p⁴
16p⁴ = ( 2p )⁴
Therefore, the expression 16p⁴ will be written as (2p)⁴.
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Answer:
10 amps.
Step-by-step explanation:
According to Ohm's Law, V=IR, and, dividing both sides by R, we have
, where V is the amount of volts, R is the amount of resistance, and I is the current in amps.
Plugging the values into the formula, we have
.
Therefore, there is 10 amps of current in the circuit.
Answer:
-0.69 feet per second
Step-by-step explanation:
We have dx/dt = 2 ft/sec, and we want to determine dy/dt.
x and y are related by the Pythagorean Theorem.
x²+y²=16²
Differentiate both sides of this equation with respect to t to get


Divide both sides by 2y

When x = 5 ft, we have
x²+y²=16²
5²+y²=256
y²=256-25=231
therefore
y= 

=-0.69
The top of the ladder is sliding down (because of the negative sign in the result) at a rate of -0.69 feet per second.