Answer: 86 billion blocks
Step-by-step explanation:
Here, the total population is 2 billion,
Since, the blocks a person owe = 43
Thus,

= 
= 
Therefore, total blocks that sold their introduction = 86 billion.
First we find the area of the rectangle. Area of a rectangle = length * width.
The width is 19 as given. The length is the the diameter of the circle. The diameter of the circle is 2 * the radius. They give us the radius of 6.
19 * (2*6) = 19(12) = 228
Now we find the area of the circle. Half the circle however is already included in the area for the rectangle so we will use the area of the circle formula of: A =

r² and divide it by 2.
A =

(6)² = 36

Now divide it by 2 and simplify
36

/ 2 = 18

. Leave this way until we are at the end.
Now put the two together.
228 + 18

. Put this into your calculator to see the exact answer. The one I will give is an approximation.
Area of the entire shaded area is approximately (≈) 284.549 ft² or 284.549 square feet.
Answer:

Step-by-step explanation:
This is a separable equation with an initial value i.e. y(3)=1.
Take y from right hand side and divide to left hand side ;Take dx from left hand side and multiply to right hand side:

Take t as a dummy variable, integrate both sides with respect to "t" and substituting x=t (e.g. dx=dt):

Integrate on both sides:

Use initial condition i.e. y(3) = 1:

Taking exponents on both sides to remove "ln":
9514 1404 393
Answer:
Step-by-step explanation:
I find it convenient to use a graphing calculator to graph the function.
The "start" is x=0, where the distance from the sprinkler head is 0 feet. The value of h(0) is 9.5, the height of the sprinkler head.
- The irrigation system is positioned <u> 9.5 </u> feet above the ground.
The graph shows the vertex of the curve is (5, 34.5), meaning that a height of 34.5 feet is reached 5 feet horizontally from the sprinkler.
- The spray reaches a <u> maximum </u> height of <u> 34.5 </u> feet at a horizontal distance of <u> 5 </u> feet away from the sprinkler head.
- The spray reaches all the way to the ground at about <u> 10.9 </u> feet away.
The graph shows the x-intercept at about 10.9. That is where the height of the spray is 0 feet above the ground.
Answer:
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Step-by-step explanation: