Answer:
Yes
Step-by-step explanation:
y is said to be a function of x. where x is the independent variable and y is the dependent variable. The height of the stacks is y and the number of cups in the stack is x, so yes, we can say that the height of the stack is a function of the number of cups in the stack.
There are 6 nickels and 14 pennies.
There are 20 total coins.
The ratio of nickels to coins is 6:20.
Both of these are divisible by 2, so we can reduce this to 3:10.
Answer:
a.2nd quarter with 9 goals
b. 4.8 goals
c. 4 goals
Step-by-step explanation:
a. The mode is defined as the most appearing data point or the data point with the highest frequency..
From our data(for away goals):
- 1st quarter-2
- 2nd quarter-9
- 3rd quarter-7
- 4th quarter-4
Hence, the 2nd quarter has the mode for away goals with 9 goals.
b. Mean is defined as the average of a set of data points.
#We calculate the totals goals per quarter, sum over all quarters then divide by the number of games, 10:

Hence, the mean number of goals per quarter is 4.8 goals
c. To find the number of more home goals than away goals, we subtract from their summations as:

Hence, there are 4 more home goals than away goals.
First, we are going to find the vertex of our quadratic. Remember that to find the vertex

of a quadratic equation of the form

, we use the vertex formula

, and then, we evaluate our equation at

to find

.
We now from our quadratic that

and

, so lets use our formula:




Now we can evaluate our quadratic at 8 to find

:




So the vertex of our function is (8,-72)
Next, we are going to use the vertex to rewrite our quadratic equation:



The x-coordinate of the minimum will be the x-coordinate of the vertex; in other words: 8.
We can conclude that:
The rewritten equation is

The x-coordinate of the minimum is 8
<h3>
Answer: <u>
100 ft</u>
is the hypotenuse</h3>
===================================================
Work Shown:
a = 60 and b = 80 are the two known sides
c is the unknown hypotenuse
Applying the pythagorean theorem gets us...
a^2 + b^2 = c^2
60^2 + 80^2 = c^2
3600 + 6400 = c^2
10,000 = c^2
c^2 = 10,000
c = sqrt(10,000)
c = 100
A quick way to see that 100 ft is the missing side is to note that a 6,8,10 right triangle scales up to 60,80,100 after multiplying all three sides by 10.
Or you could start with a 3,4,5 right triangle and multiply all three sides by 20.