Answer:
k=16
Step-by-step explanation:
So the tangent line is
and it tangent to function
Since the slope of the tangent line is 4, this means the derivative of f(x) is 4 but first let find the derivative of
Use the Sum Rule,
Use the Power Rule and we get
Set this equal to 4
So at x=-2, the slope of the tangent line is 4.
Plug -2 in the orginal function, and we get
So the point must pass through -2,8 with a slope of 4.
So the value of k is 16.
Answer:
1 7/10 or 1.70
Step-by-step explanation:
6 1/2 - 9/10
Convert the mixed number to an improper fraction
13/2 - 9/10
Find a common denominator for these 2 fractions, and in this case it can be 10
13 * 2/ 5 * 2
26 / 10 - 9/10
17/10
1 7/10 as a fraction or 1.70 as a decimal
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer: the value of the test statistic is 2.11
Step-by-step explanation:
Given that;
sample mean x" = 95
standard deviation σ = 3
sample size n = 40
Null hypothesis H₀ : μ = 94
Alternative hypothesis H₁ : μ ≠ 94
Level of significance ∝ = 0.02
Test statistic value
z = (x" - μ) / ( σ/√n)
we substitute
z = (95 - 94) / ( 3/√40)
z = 1 / 0.4743
z = 2.11
Therefore, the value of the test statistic is 2.11
Answer:
x = 20 degrees.
Step-by-step explanation:
cos40∘=sin(x+30∘)
sin (x + 30) = 0.766
x + 30 = arcsin 0.766 = 50
x = 50 - 30 = 20.
