Answer: The distance between them is 230.65 miles.
Step-by-step explanation:
Since we have given that
Speed of plane A (b) = 200 miles per hour
Speed of plane B (c) = 300 miles per hour
Angle between them = 50°
So,
We will use the "Cosine formula", we get
So, distance between the two planes after one hour will be
So, the distance between them is 230.65 miles.
Answer:
The first table; <em>the first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 4, 2.</em>
Step-by-step explanation:
Exponential decay means that the graph or table is exponentially decreasing. Meaning, if you went from point 4 to 1, you would see an exponential increase. Other tables show other forms of functions, such as quadratic, or linear. To find out which rate it is decaying by, ask yourself, at 0, what is the y output? You can then divide the output of 0 by 1, and so on. If it is decaying at a consistent rate, then you know it is exponential. If you do not need to divide, but know it is decaying at a rate of two, it is linear. If it does not divide the first time smoothly, it is quadratic. It could also be a number of things.
I hope this helps you. We studied this quite a while ago, and I do not remember the equation at the tip of my tongue, and I do not want to give you wrong information. Have a great rest of your day!
Answer:
a) -2t²+12t+15 b) 25, 31 c) 26
Step-by-step explanation:
a) To find out rate, we will take derivative of the given equation
dN/dt= -2t2+12t+15
b) At 9 am , it will be 1hr since the start of morning shift so t=1
dN/dt= -2(1)²+12(1)+15
dN/dt=25
At 10 am, it will 2 hrs since the start of morining shift be so t=2
dN/dt=-2(2)²+12(2)+15
DN/dt= 31
c) N(2)-N(1)= (-(2)³+6(2)²+15(2))-(-(1)³+6(1)²+15(1))
=(46)-(20))
= 26
Total Volume would be 6 + 4 = 10 pints
Let's calculate the volume of alcohol in final solution:
20% * 6 = 1.2 pints
10% * 4 = .4 pints
Total = 1.6 pints of alcohol in 10
Percentage = (1.6/10) * 100 = 16 per cent.
answer is A
What values of b satisfy 3(2b+3)^2 = 36
we have
3(2b+3)^2 = 36
Divide both sides by 3
(2b+3)^2 = 12
take the square root of both sides
( 2b+3)} =(+ /-) \sqrt{12} \\ 2b=(+ /-) \sqrt{12}-3
b1=\frac{\sqrt{12}}{2} -\frac{3}{2}
b1=\sqrt{3} -\frac{3}{2}
b2=\frac{-\sqrt{12}}{2} -\frac{3}{2}
b2=-\sqrt{3} -\frac{3}{2}
therefore
the answer is
the values of b are
b1=\sqrt{3} -\frac{3}{2}
b2=-\sqrt{3} -\frac{3}{2}
