Answer:
Speed = 20 mi/h
Explanation:
There are two points A and B
Distance between both the points are define with function -20t + 45 miles
where t represent the number of hours of travelling.
Now firstly we find the initial position. At starting time is 0, so we put t=0 in given function of t.
At t=0;
d₀ = -20(0) + 45 = 0 + 45 = 45 miles
Now we find the distance travell after starting first hour.
Than we put t = 1 in the given function
At t = 1;
d₁ = -20(1) + 45 = -20 + 45 = 25 miles
Difference between d₁ & d₀ is
45 - 25 = 20 miles
We see that in one hour, total distace is covered 20 miles
Now we use time, speed, distance relation
Speed = distance/time
Speed= 
Speed = 20 miles/hour
That's the final answer.
I hope it will help you.
Answer:
<em>The correct answer choice is: B</em>
Step-by-step explanation:
<u>Culture A</u>
Initial number of cells = 1000
The number of cells is raised by 200 each day and every day thereafter.
So, the number of cells raised in one month(30 days) 
Thus, the total number of cells in culture A at the end of one month will be: 
<u>Culture B</u>
Initial number of cells = 1000
The number of cells is increased by 8% each day and every day thereafter.
<em>Formula for exponential growth is:</em> 
, where 
Initial amount, 
Final amount, 
Rate of growth in decimal form and 
Time duration.
Using the above formula, the number of cells after 30 days will be.....
That means, Culture B is more effective in promoting cell growth.
Answer:
DK = 9
Step-by-step explanation:
In triangle AMD,
h² = p² + b²
or, h² = 6² + 4²
or, h²= 36 + 16
so, h² = 52
so, AM² = 52
Take x as reference angle,
cos²x = 16/52
Now,
In triangle, AMK,
Taking x as reference angle,
cos²x = b²/h²
cos²x = AM²/MK²
or, cos²x = 52/MK²
Now,
cos²x = 16/52 = 52/MK²
or,
16/52 = 52/MK²
or, 16MK² = 2704
or, MK² = 2704/16
or, MK² = 169
so, MK = 13
Now,
DK = MK - MD
or, DK = 13 - 4
so, DK = 9
Answer:
x=9
Step-by-step explanation:
Since x+5=14, then you would subtract 5 from 14. 14-5=9. So that means x equals 9.
