Answer:
23 degrees
Step-by-step explanation:
62+95=157
180-157=23
Pretty sure it’s A sorry if that’s wrong
Answer: 1408.01$
Step-by-step explanation: Use the compound interest formula P*(1+r)^n Where P is the initial value, r is the interest rate, and n is the number of periods
Answer with explanation:
The given statement is which we have to prove by the principal of Mathematical Induction
![2^{n}>n](https://tex.z-dn.net/?f=2%5E%7Bn%7D%3En)
1.→For, n=1
L H S =2
R H S=1
2>1
L H S> R H S
So,the Statement is true for , n=1.
2.⇒Let the statement is true for, n=k.
![2^{k}>k](https://tex.z-dn.net/?f=2%5E%7Bk%7D%3Ek)
---------------------------------------(1)
3⇒Now, we will prove that the mathematical statement is true for, n=k+1.
![\rightarrow 2^{k+1}>k+1\\\\L H S=\rightarrow 2^{k+1}=2^{k}\times 2\\\\\text{Using 1}\\\\2^{k}>k\\\\\text{Multiplying both sides by 2}\\\\2^{k+1}>2k\\\\As, 2 k=k+k,\text{Which will be always greater than }k+1.\\\\\rightarrow 2 k>k+1\\\\\rightarrow2^{k+1}>k+1](https://tex.z-dn.net/?f=%5Crightarrow%202%5E%7Bk%2B1%7D%3Ek%2B1%5C%5C%5C%5CL%20H%20S%3D%5Crightarrow%202%5E%7Bk%2B1%7D%3D2%5E%7Bk%7D%5Ctimes%202%5C%5C%5C%5C%5Ctext%7BUsing%201%7D%5C%5C%5C%5C2%5E%7Bk%7D%3Ek%5C%5C%5C%5C%5Ctext%7BMultiplying%20both%20sides%20by%202%7D%5C%5C%5C%5C2%5E%7Bk%2B1%7D%3E2k%5C%5C%5C%5CAs%2C%202%20k%3Dk%2Bk%2C%5Ctext%7BWhich%20will%20be%20always%20greater%20than%20%7Dk%2B1.%5C%5C%5C%5C%5Crightarrow%202%20k%3Ek%2B1%5C%5C%5C%5C%5Crightarrow2%5E%7Bk%2B1%7D%3Ek%2B1)
Hence it is true for, n=k+1.
So,we have proved the statement with the help of mathematical Induction, which is
![2^{k}>k](https://tex.z-dn.net/?f=2%5E%7Bk%7D%3Ek)
Answer: The "?" would equal 1.
Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.