Answer:
Option C.
Step-by-step explanation:
The given function is
We need to find the domain and range of the function.
Domain is the set of input values.
The given function is an exponential function. This exponential function is defined for all real values of x. So,
Domain : {x | x is a real number}
Range is the set of output values.
We know that 
is always greater than 0.
Add 2 on both sides.
So, the rage of the function is
Range: {y | y > 2}
Therefore, the correct option is C.
Answer:
Correct answer is C.
Step-by-step explanation:
Horizontal translation of -2 followed by a vertical translation of -1.
The 76th term is 86.
<h3>What is sequence?</h3>
A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence.
Given:
2, 3, 5, 6, 7, 10, …
The sequence consists of all natural numbers which are neither perfect squares nor perfect cubes.
We can as well sum the number of squares and cubes in the range with the number of the required term i.e
Number of squares = 8 ( 4,9,16,25,36,49,64,81)
Number of cubes = 2 (8 and 27; excluding 64 which is as well a square)
Required term = 75
So, 8+2+75 = 85.
Hence, the 85th term counting from 2 ( i.e 86) is the 75th term.
Learn more about sequence here:
brainly.com/question/16614966
#SPJ1
The string is assumed to be massless so the tension is the sting above the 12.0 N block has the same magnitude to the horizontal tension pulling to the right of the 20.0 N block. Thus,
1.22 a = 12.0 - T (eqn 1)
and for the 20.0 N block:
2.04 a = T - 20.0 x 0.325 (using µ(k) for the coefficient of friction)
2.04 a = T - 6.5 (eqn 2)
[eqn 1] + [eqn 2] → 3.26 a = 5.5
a = 1.69 m/s²
Subs a = 1.69 into [eqn 2] → 2.04 x 1.69 = T - 6.5
T = 9.95 N
Now want the resultant force acting on the 20.0 N block:
Resultant force acting on the 20.0 N block = 9.95 - 20.0 x 0.325 = 3.45 N
<span>Units have to be consistent ... so have to convert 75.0 cm to m: </span>
75.0 cm = 75.0 cm x [1 m / 100 cm] = 0.750 m
<span>work done on the 20.0 N block = 3.45 x 0.750 = 2.59 J</span>
Answer:
4.002 x 10^3
Step-by-step explanation:
