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The equation y=0.5x simply means that Joseph is hiking 0.5 miles every hour. This is because the x value is the independent variable or the thing you change, which in this case is the time you take hiking. The distance, the y-value, is dependent on that time.
Now, let's look at Kelly's graph. This graph isn't a grid, so we will have to eyeball some of the numbers on the graph. It appears that after 10 hours, Kelly has traveled eight miles. This is because if you go up from the 10 and meet the line and then go to the left. you will be about at the line right below the 10 on the y-axis, and if you count the lines, you will see that we are counting by 2, so it has to be eight.
So, we see that Kelly takes 10 hours to go eight miles. We know that Joseph's distance is half of his time (4 hours would be 2 miles, 6 hours would be 3 hours, etc.)
So, if we say that Joseph hikes for ten hours, he will have hiked five miles as that is half of ten. We see, though, that Kelly made it eight hours in that time, so Kelly is going faster here.
Have a wonderful day and keep on learning! :D
Answer:
12). LM = 37.1 units
13). c = 4.6 mi
Step-by-step explanation:
12). LM² = 23² + 20² - 2(23)(20)cos(119)°
LM² = 529 + 400 - 920cos(119)°
LM² = 929 - 920cos(119)°
LM = 
= 
= 37.08
≈ 37.1 units
13). c² = 5.4² + 3.6² - 2(5.4)(3.6)cos(58)°
c² = 29.16 + 12.96 - 38.88cos(58)°
c² = 42.12 - 38.88cos(58)°
c = 
c = 
c = 4.6386
c ≈ 4.6 mi
Answer:
The correct answer is A. Both samples are dependent samples.
Step-by-step explanation:
Both samples are dependent samples, since to verify the effects of one, it is necessary to compare it with the effects and characteristics of the other.
Thus, in the case, it is intended to check the effects of caffeine on taste by using a regular soda sample first, and then comparing it with a decaffeinated soda sample. Therefore, the effects of one sample will be checked and compared with the other sample, so that there is a dependency relationship between the two, since neither could prove the hypothesis on its own.
Answer: (a) The slope of the line is 5 and the y-intercept is (0,10). (b) The rate of change is 5 and the initial amount is 10.
Explanation:
The given equation is,
.... (1)
(a)
The slope intercept form of the a line is,
.... (2)
Where, m is slope and (0,b) is y-intercept.
On comparing (1) and (2) we get,
Therefore, the slope is 5 and the y-intercept is (0,10).
(b)
The rate of change is also known as slope therefore the rate of change is 5.
To find the initial amount put x=0 in the given equation.
Therefore, the initial value is 10.
The rate of change represents the number of baskets of berries the workers picked increased by 5 units per unit of time.
The initial amount shows the number of baskets of berries the workers picked before the workers starts harvesting.
(c)The graph is shown below.
Since x represents the time in hours, therefore x is always greater that or equal to 0.
Answer:
9p+8
Step-by-step explanation:
p+8p= 9p
6+2= 8
9p+8
