Answer:
The answer is A
Step-by-step explanation:
The shape is a rhombus when plotted on a quardanent plane. The shape is similar to a diamond.
Given the following points:
(1, 4): (2, 2.5): (3, 1) and (4, -0.5).
We are asked to find the average rate of change of the sequence.
The average rate of change for the sequence is the slope and it can be solved using the slope formula.
Slope (m) = y2 - y1
x2 - x1
So, lets choose two points on the line and substitute into the formular.
(1, 4) and (2, 2.5)
where:
x1 = 1
x2 = 2
y1 = 4
y2 = 2.5
m = 2.5 - 4
2 - 1
m = -1.5/1
m = -1.5
m = -1 1/2
Therefore, the correct option is the second option.
Answer:
Option B) 18 is the correct answer.
Step-by-step explanation:
Let n(A) be the shoppers who purchased at an online store
Let n(B) be the shoppers who purchased at a locally-owned store
Let n(C) be the shoppers who purchased at a big-box store
n(A ∩ B) is the shoppers who purchased at an online store and at a locally-owned store
n(B ∩ C) be the shoppers who purchased at a locally-owned store and at a big-box store
n(C ∩ A) is the shoppers who purchased at an online store and at a locally-owned store and at an online store
From the Venn diagram,
n(A) = 109
n(B) = 34
n(C) = 107
n() = 38
n(B ∩ C) = 17
n(C ∩ A) = 57
On Comparing the Venn Diagrams, we could find that shoppers made a purchase at an online store, a locally-owned store, and a big-box store [n( A ∩ B∩ C)] = 18
9514 1404 393
Answer:
sin(B) = 2/3
Step-by-step explanation:
The law of sines tells you the sine of an angle is proportional to the length of the opposite side.
sin(B)/b = sin(A)/a
sin(B)/8 = sin(30°)/6 . . . . fill in the given values
sin(B) = 8(1/2)/6 . . . . . . . .multiply by 8
sin(B) = 2/3