Answer:
1
Step-by-step explanation:
12-4x=12-4x
-12
-4x=-4x/-4
x=1
Answer:
This is really simple, here i'll explain:
Step-by-step explanation:
41.2 x 1.5=
count how many spaces are after the decimal point.
for example, 41.2 has 1 space after the decimal point. The decimal 1.5 also has 1 space after the decimal point. So if you add the spaces it would be 2 because 1 + 1 = 2
After that, take away the decimal point, and just multiply like you normally would.
412 times 15
this would be 6180
after you do the multiplication, you will add the decimal point.
The decimal point will go in between 1 and 8 because there were 2 spaces after the decimal point in the numbers, and if you add them it would be 2 spaces.
Hope this helps!
They are traveling at right angles to each other so we can say one is traveling north to south and the other west to east. Then we can say that there positions, y and x are:
y=150-600t x=200-800t
By using the Pythagorean Theorem we can find the distance between these two planes as a function of time:
d^2=y^2+x^2, using y and x from above
d^2=(150-600t)^2+(200-800t)^2
d^2=22500-180000t+360000t^2+40000-320000t+640000t^2
d^2=1000000t^2-500000t+62500
d=√(1000000t^2-500000t+6250)
So the rate of change is the derivative of d
dd/dt=(1/2)(2000000t-500000)/√(1000000t^2-500000t+6250)
dd/dt=(1000000t-250000)/√(1000000t^2-500000t+6250)
So the rate depends upon t and is not a constant, so for the instantaneous rate you would plug in a specific value of t...
...
To find how much time the controller has to change the airplanes flight path, we only need to solve for when d=0, or even d^2=0...
1000000t^2-500000t+62500=0
6250(16t^2-8t+1)=0
6250(16^2-4t-4t+1)=0
6250(4t(4t-1)-1(4t-1))=0
6250(4t-1)(4t-1)=0
6250(4t-1)^2=0
4t-1=0
4t=1
t=1/4 hr
Well technically, the controller has t<1/4 because at t=1/4 impact will occur :)
Answer:
120 mL
Step-by-step explanation:
If the 480 mL has 75% concentration, then 360 mL are alcohol. To turn the 360 into only 60%, you need to increase the amount of water.
Answer:
180 are men.
Step-by-step explanation:
it makes the most sense
