What is the value of the expression (0.5)4 ?
Answers
The value of the expression (0.5)^4 is 0.0625.
In this expression, (0.5) raised to the power of 4 means that you multiply 0.5 by itself four times.
So, it would be calculated as 0.5 x 0.5 x 0.5 x 0.5, which equals 0.0625.
When you raise a number less than 1 to a positive exponent, like in this case, the result is a smaller number because you are repeatedly dividing the original number by itself, which makes it smaller each time.
In this case, 0.5 is divided by itself four times, resulting in a much smaller value, 0.0625.
To explain further, exponentiation represents repeated multiplication. When you raise a number to an exponent, you are essentially multiplying that number by itself the specified number of times.
In this case, (0.5)^4 means multiplying 0.5 by itself four times, leading to the value 0.0625.
This concept is fundamental in mathematics and is used in various applications, including calculating compound interest, population growth, and many scientific calculations where values change over time or with repetition.
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Answer:
2
Step-by-step explanation:
0.5 is the same thing as 1/2 and half of 4 is 2
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Answers
Answer:
no x=4.5
Step-by-step explanation:
Answers
Answer:
74.7
Step-by-step explanation:
50+24.7=
Answers
Answer:
Step-by-step explanation:
The point slope form of the equation of a line is given as:
The slope-intercept form of the equation of a line is given as:
where: m=slope, b=y-intercept.
To convert from the point slope form to slope intercept form, follow these steps:
Step 1: Distribute the right hand side
Step 2: Isolate the y variable
This is the slope-intercept form. We can evaluate
Answers
Answer:
Part A: its linear
Part B: it is a function
Step-by-step explanation:
The terms of an expression 4x² – 3xy are:
(a) 4x and -3xy (b) 4x² and 3xy
(c) 4x² and -xy
(d) x
Answers
Answer:
(b) 4x² and 3xy
Step-by-step explanation:
The terms of an expression 4x² – 3xy are:
The terms are the factors of the expression, which are 4x² and -3xy. The signal is not counted as a term. So the correct answer is given by option b.
The volume of the original chamber is
V cubic inches. This i
v cubic inches less than the volume of the new
chamber.
Answers
Answer:
the original volume is lesser than the new volume by 242.47 in³
Step-by-step explanation:
Volume of a cone is;
V = ⅓πr²h
Where;
r is radius
h is height
For the original chamber;
r = 5.7/2 = 2.85 inches
h = 12 inches
Volume of this original chamber is;
V_orig = ⅓ × π × 2.85² × 12
V_orig = 102.02 in³
In the new design, the chamber is scaled by a factor of 1.5.
Thus;
r_new = 2.85 × 1.5 = 4.275 inches
h_new = 12 × 1.5 = 18 inches
V_new = ⅓ × π × 4.275² × 18
V_new = 344.49 inch³
V_new - V_orig = 344.49 - 102.02 =
Thus, the original volume is lesser than the new volume by 242.47 in³