Answer:
y = -0.2x + 8
Step-by-step explanation:
To write a linear function, calculate the rate of change of the gallon of water leaving the tank and the starting level.
The function will describe the number of gallons over time or (time, gallons).
This means the function has data points (1, 7.8) and (9, 6.2).
Use the rate of change or slope formula to calculate it.
This means that for the formula y = mx+b then m = -0.2.
This also means that after losing 0.2 gallons the first hour it was at 7.8. So the starting value is 8 gallons.
The equation is y = -0.2 x + 8.
Step-by-step explanation:
The scientific notation of any number is given by :
a is any real no and b is any integer
The scientific notation of 345,000,000 should be but Jorden wrote 34.5×10⁷. He is incorrect. He should have shifted decimal before 4 such that power of 10 becomes 8.
Answer:
The distance from the shoreline from P the pipe from the island will reach land in order to minimize the total construction cost is 0 m, or the pipe should be routed to the point P
Step-by-step explanation:
We note that, cost to lay pipe in water = 2.3 × cost to lay pipe on land
Distance of the small resort on the island from point p on the shoreline = 3 miles
Location of the closest source of fresh water is 10 miles along the shoreline from p
∴ The small resort, the point p and the closest source of the fresh water on the shoreline together form a right triangle with sides
Height = 3 miles
Base = 10 miles and
Hypotenuse =
To find the cost of laying the pipeline by the various route, we multiply the water routes by 2.3 and the land routes by 1 and we get
Costs:
Height = Water route = 2.3 × 3 miles = 6.9
Base = Land route = 1 × 10 miles = 10
Hypotenuse = Water route = 2.3 × 10.44 miles = 24.012
Therefore, the two routes are either
10 miles to point p and 3 miles across the water to the resort with a cost = 10 + 6.9 = 16.9 or
Directly to the small resort through 10.44 miles across the water with cost = 24.012
Therefore, to minimize cost, the pipe should come from the resort to P from there to the fresh water source.
That is the distance from the shoreline from P the pipe from the island will reach land in order to minimize the total construction cost = 0 m.
Answer:
D
Step-by-step explanation:
Recall that the area of a triangle is given by:
In this case, the base is <em>x</em> and the height is <em>y</em>. Hence:
We can write the following ratios:
Solve for <em>x</em> and <em>y</em>:
Substitute:
And simplify. Hence:
In conclusion, our answer is D.