Answer:
sin 60 = opp/hyp = f/(6√2)
f = 6✓2 × sin 60 = 6✓2 × (✓3/2)
= 3✓6
Step-by-step explanation:
Exponential function is given by general form 
Where a and b are constants.
say a=1 and b=2 then we can write function as :
or 
To graph this or any exponential function, we just need to find some points then join them by a curved line.
Like plug x=0, 1, 2,... into above function and find points:
plug x=1
Hence point is (1,2)
Find more points similarly then graph them to get the graph as shown below:
C + a = 140......a = 140 - c
5.3c + 9.4a = 1086.4
5.3c + 9.4(140 - c) = 1086.4
5.3c + 1316 - 9.4c = 1086.4
5.3c - 9.4c = 1086.4 - 1316
-4.1c = - 229.6
c = -229.6 / -4.1
c = 56......so their were 56 child tickets sold
Y-intercept= 5
Rate of change= 3
Answer:
R = -0.8908
R² = 0.7935
Step-by-step explanation:
Given the data:
X :
5
3
6
3
4
4
6
8
Y :
13
15
7
12
13
11
9
5
Using technology, we could obtain the correlation Coefficient (R) using the Pearson correlation Coefficient calculator :
R = -0.8908 ; This means that there is a strong negative relationship between x and y. That is, an increase in x will lead to a corresponding decrease in y and vice versa.
The Coefficient of determination (R²) ; is obtained by taking the squared value of R
R² = (-0.8908)² = 0.7935 ; This means that about 79.35% of the variation is y is explained by the regression line.
