Answer:
Line A: -1/2
Line B: -3
Line C: 1/3
Line D: 2
just count how many spaces over and up when they hit the the lines y/x
line a is down 1 right 2 so -1/2
line b is down 3 right 1 so -3
line c is up one right 3 so 1/3
line d is up 2 right 1 so 2
Answer:
inegeters
Step-by-step explanation:
Answer:
y = 10
Step-by-step explanation:
y = m x + C, where m is the slope and c is the intercept on the y axis. Plugging in the values of m and C, we get: y = 0 x + 10 = 0 + 10 = 10. Therefore, y = 10.
Answer:
Difference between the approximation and the actual value of f′(0.5) is 0.4330
Step-by-step explanation:
As complete question is not give, so considering the most relevant question to given statement in Fig below.
from table
x 0 1
f(x) 1 2
f'(0.5)=?
from numerical differentiation
![f'(0.5)=\frac{(2-1)}{(1-0)}\\\\f'(0.5)=1---(2)](https://tex.z-dn.net/?f=f%27%280.5%29%3D%5Cfrac%7B%282-1%29%7D%7B%281-0%29%7D%5C%5C%5C%5Cf%27%280.5%29%3D1---%282%29)
Given function is
![f(x)=2^{x^{3}}](https://tex.z-dn.net/?f=f%28x%29%3D2%5E%7Bx%5E%7B3%7D%7D)
Differentiating w.r.to x
![f'(x)=ln(2)2^{x^{3}}\frac{d}{dx}(x^{3})\\\\f'(x)=ln(2)2^{x^{3}}(3x^{2})\\\\f'(x)=3x^{2}2^{x^{3}}ln(2)\\at \quad x=0.5\\\\f'(0.5)=0.5669---(2)](https://tex.z-dn.net/?f=f%27%28x%29%3Dln%282%292%5E%7Bx%5E%7B3%7D%7D%5Cfrac%7Bd%7D%7Bdx%7D%28x%5E%7B3%7D%29%5C%5C%5C%5Cf%27%28x%29%3Dln%282%292%5E%7Bx%5E%7B3%7D%7D%283x%5E%7B2%7D%29%5C%5C%5C%5Cf%27%28x%29%3D3x%5E%7B2%7D2%5E%7Bx%5E%7B3%7D%7Dln%282%29%5C%5Cat%20%5Cquad%20x%3D0.5%5C%5C%5C%5Cf%27%280.5%29%3D0.5669---%282%29)
Difference between the approximation and the actual value of f′(0.5) is 0.4330
Answer:
He must get 33 hits in his next 46 times at bat to finish the year with a .400 batting average
Step-by-step explanation:
The player has already batted 134 times and will still bat 46 times. So in the end of the year, he is going to have 134 + 46 = 180 at bats.
How many hits does he need to have to hit .400?
This is 40% of 180, which is 0.4*180 = 72.
He has already 39 hits, so in his next 46 at bats, he will need 72 - 39 = 33 hits.