I'll do the first 2 and 6, and I challenge you to do the other three on your own!
For 1, from some guess and check we can figure out that 5*5=25. Since 5 is a prime number, that's it!
For 2, we can figure out that 7*7=49 and 7 is a prime number, so we're good there.
From 6, we can do some guess and check to figure out that 2*24=48, 2*12=24, 2*6=12, and 2*3=6, resulting in 2*2*2*2*3=48 since 2 and 3 are prime numbers. We found out, for example, to find 2*12 due to that if 2*24=48, 2*24 is our current factorization. By finding 2*12=24, we can switch it to 2*2*12
9514 1404 393
Answer:
Country A's population is greater than Country B's by 132,194,611
Step-by-step explanation:
Both population numbers have the same number of digits, and the same most-significant digit. This requires you look at the second digit from the left to see which number is larger. The greater/less comparison is ...
1,238,682,005 > 1,106,487,394
Country A's population is greater than Country B's population
__
The difference in their populations is ...
1,238,682,005 - 1,106,487,394 = 132,194,611
Answer:
The answer is 32.
Step-by-step explanation:
Complex numbers are the number that can be written in the form of a + b<em>i</em>, where a is the real part, b is the imaginary part and<em> </em><em>i </em>is the unit imaginary part which is equal to √-1.
<h3>Solving the given equation:</h3>
2x^x + p = 0
2x^2/2 + p/2 = 0/2
x^2 + p/2 = 0
x^2 +p/2 -p/2 = -p/2
x^2 = -p/2
taking √ on both sides
√x^2 =√(-p/2)
x = √(-1)(p/2)
as we know that √(-1) =<em> i</em>
therefore
x = √(p/2)<em>i</em>
Hence, form the given choices only 32 will gives the complex number as a solution.
Now putting p = 32, we'll get
x = √(32/2)<em>i</em>
x = 4<em>i</em> is the required solution.
Answer:
start by dividing the arc's central angle in degrees by 360, multiply that number by the radius of the circle, and then multiply that number by 2 × pi to find the arc length.
Step-by-step explanation: