Answer:
Statement A is TRUE.
Given an x value of 15, y would be ;
= 2.72 * 15
= 40.8
Coordinates would therefore be (15, 40.8)
Statement B is FALSE.
The coordinates of Y given are impossible given the coordinates of X. In this scenario, Y must always be greater than X as a result of the equation.
Statement C is TRUE.
The slope in the equation takes the form of the $2.72 price being charged per gallon of gasoline such that the total price of x gallons can be calculated by multiplying the number of gallons by $2.72
Statement D is FALSE.
If the price of gasoline were to decrease by $0.03, the slope would become 2.69 not 2.75. 2.75 would be the new slope if the price had increased by $0.03 instead of decreased.
Answer:
Distance covered by the bird before meeting the water is: 51.264 ft
Step-by-step explanation:
Notice that if the bird catches the fish in 2 seconds, then the fish was able to dive down a total of 6 feet before being caught:
So the bird needs to fly in the direction of the hypotenuse of a right angle triangle (see attached image) that has one leg of length (24 ft + 6 ft) = 30 ft, and another one 22.5 ft (half the width of the river.
Such hypotenuse is (using Pythagoras theorem):
Now, in order to find the distance D the bird covers from the top of the tree to the water (marked in red in our image), we use similar triangles. The bigger triangle is that of legs 60 ft and 22.5 ft and hypotenuse 64.08 ft.
The smallest triangle we use in the proportion is the one shaded yellow in the image, which has one leg equal to 24 ft, and unknown hypotenuse:
So we make the proportion between known legs, and hypotenuses:
3) The snow is falling and the stores run out of snow shovels. This relationship can best be described as causal.
A causal relationship is a relationship between two events wherein the occurrence of the first events gives rise to the second event. The first event causes the second event to happen.
The falling snow is the first event, had it not happened, it would not have resulted to the second event which is the stores running out of snow shovels.
Answer:
20.4375 miles
Step-by-step explanation:
5 miles / 8 <u>km</u> * 32.7<u> km</u> = 20.4375 miles
( see how the units 'km' cancel out and you are left with 'miles' as your answer?)
Easy way to find this out!
This is how I would do it:
1. Turn 15% into a decimal --> 0.15
2. Multiply 0.15 and 120.75 --> 18.11
3. Get your answer! $18
