Answer:
a)
, b) ![m = -27](https://tex.z-dn.net/?f=m%20%3D%20-27)
Step-by-step explanation:
a) The instantaneous rate of change is:
![\frac{dy}{dx} = 8\cdot x + 5](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%208%5Ccdot%20x%20%2B%205)
![\frac{dy}{dx} = 8\cdot (-4)+5](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%208%5Ccdot%20%28-4%29%2B5)
![\frac{dy}{dx} = -27](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%20-27)
b) The slope of the tangent line is equal to the instantaneous rate of change found previously.
![m = -27](https://tex.z-dn.net/?f=m%20%3D%20-27)
Find the Z score of both:
Z =(X-μ)/σ
Z₁ = (60-80)/10 ==> -2
& Z₂ =(100-80)/10==>+2
& you will find on the Z score tables that the probability to be between
60 & 100 is 0.95 or 95%
Answer:
1024 pi
Step-by-step explanation:
r = 32 units.
Area = pi * r^2
Area = 3.14 * 32^2
Area = 1024 * pi
Tt = pi??
Answer:
B and C
Step-by-step explanation:
Required
Select graphs that are dilated by a scale factor greater than 1
For graph A:
Graph A is smaller than the original graph. This indicates dilation with a scale factor less than 1
For graph B:
Graph B is bigger than the original graph and is dilated over (0,0). This indicates dilation with a scale factor greater than 1
For graph C:
Graph C is bigger than the original graph; however, it is not dilated over (0,0). This indicates dilation with a scale factor greater than 1
For graph D:
Graph D is bigger than the original graph; however, it is not only dilated but also flipped over (i.e. rotated).
<em>Hence, b and c is true</em>
9 and 8 are the two numbers.
9 + 8 = 17
9 - 8 = 1