Answer:
It will take 47 hours
Step-by-step explanation:
We can have the exponential function as follows;
P = I( 1 + r)^n
if the initial value was x , the final will be 2x
The change rate is 1.5% , which is r, this is same as;
1.5/100 = 0.015
So what we want to calculate is the n attached
This will be;
2x = x ( 1 + 0.015)^n
2 = 1.015^n
ln 2 = n ln 1.015
n = ln 2/ln 1.015
n = 46.55
This is approximately 47 hours
Answer:
(-2, 1) and (0, 3) has the slope of m = 1 and the equation is y = x + 3
(0, -2) and (3, -5) has the slope of m = 1 and the equation is y = -x - 2
Step-by-step explanation:
Hope this helps!
Answer:
m∠BOC = 40°
Step-by-step explanation:
Given O A ‾ ⊥ O C ‾ OA ⊥ OC m∠BOC=6x−6 ∘
m∠AOB=5x+8 ∘
Find m ∠ B O C:
This means that: m∠BOC and m∠AOC intersect at a right angle.
Hence:
m∠BOC + m∠AOC = 90°
Step 1
Solving for x
6x - 6 + 5x + 8 = 90°
11x -2 = 90°
11x = 90 - 2
11x = 88
x = 88/11
x = 8
Step 2
Solving for m∠BOC
m∠BOC = 6x - 8
m∠BOC = 6(8) - 8
= 48 - 8
= 40°
F(x)=-9/x which is equal to:
f(x)=-9x^(-1) So the power rule for differentiation is used...
Power rule: f(x)=x^e, df/dx=ex^(e-1) so:
df/dx=-9(-1)x^(-1-1)
df/dx=9x^(-2) or if you prefer...
df/dx=9/x^2
df/dx(6)=9/36=1/4
Answer:
B
Step-by-step explanation:
If you calculate the side of a square using pythagorean theorem, you would get a side length of sqrt37. Simple multiply this by 4
