Answer:
x = -1
Step-by-step explanation:
3(x+1) = -2(x-1) - 4
3x + 3 = -2x + 2 - 4
3x + 3 = -2x - 2
Add the -2x to both sides
5x + 3 = -2
Subtract the 3 to both sides
5x = -5
Divide both sides by 5
x = -1
Answer:
a) x=7/2
Step-by-step explanation:
a) since f(x) is=0, plug in 0 to → f(x)=2x-7 [this f(x)]. you would get 0=2x-7. solve for x by adding 7 and dividing by 2 which you get x=7/2.
X = 4(cosθ - cos²θ) = 4cosθ - 4cos²<span>θ
</span>dx/dθ = -4sinθ + 8sinθcosθ = -4sinθ(1 - 2cos<span>θ)
dy/d</span>θ = 4(cosθ - cos²θ + sin²θ) = 4(cos<span>θ - 1)
</span>∴dy/dx = 4(cosθ - 1)/-4sinθ(1 - 2cosθ) = 1-cosθ/(sinθ - 2sinθcosθ<span>)
Now, we're finding a horizontal tangent, which is when dy/dx = 0 (horizontal tangent).
1-cos</span>θ/(sinθ - 2sinθcosθ) = 0
1-cosθ = 0
cosθ = 1
θ = 0, 360 in the interval [0, 360].
At θ = 0, x = 0, y = 0
Only points in the open interval [-2π, 2π] are at (0, 0), unless I made a mistake somewhere.
Answer:
it takes 24 hours for the bacteria cells to increase to 300
Step-by-step explanation:
WE use the formula
Where A is the initial amount of bacteria= 100
bacteria doubles every 15 hours so b=2
d= 15 because d is the time taken to double the number
t is the number of hours
c is the number of bacteria after t hours = 300
Plug in all the values and solve for 't'
Divide both sides by 100
Now we take log on both sides
As per log property we can move the exponent before log
log a^m = m log(a)
Divide both sides by log(2)
Multiply both sides by 15
t = 23.77
So its approximately 24 hours
Answer:
c
Step-by-step explanation:
1 2/3 in improper form is -> 5/3
4 1/6 in improper form is -> 25/6
5/3 is equal to-> 10/6
so.. 25 divided by 10 equals 2.5
so to fill the cylinder you'll need 3 sm cylinders (u can't only have a half of a cilinder)
