y = 20x
The graph passes through the origin , hence is of form
y = mx ( m is the slope )
to calculate m use the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁) = (2, 40) and (x₂, y₂) = (4, 80) ← 2 points on the graph
m = = = 20
y = 20x
Answer:
The 17th term in arithmetic sequence is 68
Step-by-step explanation:
The general formula of arithmetic sequence is:
aₙ = a₁ + (n – 1)d.
We are given a₆ = 101 and a₉ = 83 and we need to find a₁₇
To find the term a₁₇ we should know a₁ and d. So we would find both
a₆ = a₁ +(6-1)d
101 = a₁ +(5)d
101 = a₁ +5d eq(1)
and
a₉ = a₁ +(9-1)d
83 = a₁ + 8d eq(2)
Subtracting eq(2) from eq(1)
101 = a₁ +5d
83 = a₁ + 8d
- - -
__________
18 = -3d
=> d = 18/-3
=> d = -6
Putting value of d in eq(1)
101 = a₁ + 5d
101 = a₁ + 5(-3)
101 = a₁ -15
=> a₁ = 101+15
=> a₁ = 116
Now finding a₁₇:
aₙ = a₁ + (n – 1)d.
a₁₇ = 116 +(17-1)(-3)
a₁₇ = 116+(16)(-3)
a₁₇ = 116 - 48
a₁₇ = 68
So, the 17th term in arithmetic sequence is 68
I hope this helps,
So is she can run 3/4 if a mile , or .75, in nine minutes I simplify just divided nine with 3/4 , or .75 I changed it to make it easier , and I got 9÷0.75= 12mph.
I hope this helps in some way.
Answer:
ln (27 x²)
Step-by-step explanation:
Given in the question an expression
3 ln 3 + 2 ln x
Step1
Apply power rule
ln 3³ + ln x²
Step2
Apply multiplication rule
ln (3³ . x²)
3³ = 27
so
ln (27x²)
Answer:
A. lower, higher
Step-by-step explanation:
correct answer is here lower test statistic with a higher p-value because
Since the test is statistically the standard deviation in the denominator, the value of the test statistic decreases as the standard deviation increases. And there is a large potential for p value in calculating p value for small test statistics.