Answer:
x=20
Step-by-step explanation:
First, find LJ
Angle L = 60 (180 - 30 - 90)
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(L)=adj/hyp
cos(60)=LJ/40√2
LJ = cos(60)*40√2
LJ = 20√2
Now you can use LJ to find x. You also know the value of each angle, 45
x=20√2⋅cos(45)
x=20
The linearization at f(a) is
.. l(x) ≈ f(a) +f'(a)*(x -a)
Then
.. l(a) = f(a)
f(2) = l(2) = 12*2 +4
f(2) = 28
Jenna is correct because the square root of a rational number can still be irrational.
Take for example the square root of 2. It is an irrational number than goes 1.41421...
If you multiply just the first however many digits of the result by itself, you will never end up with a perfect 2, because the square root is irrational.
Answer: the value us 2.064
Step-by-step explanation:
To determine the t value, we would need the t distribution table. Since degree of freedom is known as 24, we would determine alpha/2
A 95% confidence level is 95/100 = 0.95
1 - alpha = 0.95
alpha = 1 - 0.95
alpha = 0.05
alpha/2 = 0.05/2 = 0.025
this is the area to the left. The area to the right 1 - 0.025 = 0.975
alpha/2 = 0.975
Looking at the t distribution table, the t value is
2.064
Answer:
Slope <em>m</em> = 2/3
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
y = 2/3x + 4
<u>Step 2: Break Function</u>
<em>Identify Parts.</em>
Slope <em>m</em> = 2/3
y-intercept <em>b </em>= 4
