In our decimal system, we distinguish odd and even numbers by looking at their ones (or units) digits. If the ones digit is even (0, 2, 4, 6, 8), the number is even. If the ones digit is odd (1, 3, 5, 7, 9), the number is odd. Determine whether this same criterion works for numbers expressed in base four
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Answer:
Yes. In base 4 numbers if a number ends with 0 or 2 then it is an even number. If it ends with 1 or 3 then it is an odd number.
Step-by-step explanation:
The first 13 numbers in base 4 are written in brackets next to their corrsponding decimal number below
decimal number 0(0) ,1 (1) ,2(2), 3(3), 4(10), 5(11), 6(12), 7(13), 8,(20), 9(21), 10(22), 11(23), 12(30), 13(31) and so on
From above we can deduce that in base-4 any number ending with 0 or 2 is an even nmuber and any number ending with 1 or 3 is an odd number
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Please help with this Calculus problem!!!!!
If f(x)=5x+12, what if f(2)?
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Here, we need to write the length of the insect in scientific notation.
The given length of the insect is 0.0052 meter
Now, to write 0.0052 meter in scientific notation we need to follow this:
Scientific notation always start with non-zero digit followed by a decimal point.
Since in our number the decimal is needed to be moved three places to the right to get the first non-zero digit.
The exponent of the 10 is .
Therefore, our number 0.0052 can be written as:
Hence, the require scientific notation is .
Answers
Answer:
1.92449%
Step-by-step explanation:
Simple Interest Rate Formula: A = P(1 + r)ⁿ
Step 1: Define variables
Principle amount P = 11000
Total amount A = 11000 + 1100 = 12100
Years n = 5
Step 2: Substitute and Evaluate for r
12100 = 11000(1 + r)⁵
11/10 = (1 + r)⁵
1.01924 = 1 + r
r = 0.019245
Step 3: Convert to percentage
0.019245 × 100 = 1.92449%
Simplify your answer as much as possible.
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Answer:
mixed number: 4 1/15
Exact: 61/15
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Answer:
0.0189
Step-by-step explanation:
We solve for this using Newton's Law of cooling.
The formula for Newton's Law of cooling =
T −Ts = (To−Ts)e^-kt
T = Temperature after cooling
To = Initial temperature
Ts = Room temperature
k = constant
t = time = 2 mins
(200 - 70) = (205 - 70)e^-2k
130 = 135e^-2t
e^-2k= 130/135
k = In(130/135)/-2
k = 0.018870164
Approximately to 4 decimal places = 0.0189
Therefore, the value of k = 0.0189
A. 2√3
OB. -12i
OC. -2√3
D. 2√31
E. 12/
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Final answer:
The expression √√-12 is equivalent to -2√3.
Explanation:
The expression √√-12 represents the square root of the square root of -12. Since the square root of -12 is not a real number, the expression is not defined in the set of real numbers. However, it is possible to define the square root of a negative number using imaginary numbers. The choice equivalent to √√-12 is -2√3 or option C.
Learn more about Square roots and imaginary numbers here:
Answers
Answer:
36 miles
Step-by-step explanation:
If she can drive 12 miles only using 1/3 of a gallon of gas, that means if she uses a full gallon (3/3) she would be driving 36 miles.
12/1 x 1/3
36/1 x 3/3
Multiply the numerators by 3.