Answer:
f(4) =2
Step-by-step explanation:
f(x) = 2х^2 - 30,
Let x=4
f(4) = 2 (4)^2 -30
= 2*16 -30
=32-30
= 2
Answer:
attached below
Step-by-step explanation:
Attached below are the Venn diagrams
A : 48 < X < 52 cm
B : 9 < Y < 11 cm
a) A
b) A ∩ B
c) A' ∪ B
d) A ∪ B
e) for events to be mutually exclusive it means that both events can not occur simultaneously i.e. A ∩ B = 0
the process would not be successful hence the process would not produce parts with X = 50 cm and Y = 10 cm
Answer:

Step-by-step explanation:
Let's follow up with the solution. Considering a triangle with the vertices
,
and
, have a look at the representation in the cartesian plan.
From this representation we can say that the area (A) of a triangle through the knowledge of <u>analytical geometry</u> is given by the determinant of the vertices divided by two, mathematically,

So, applying this knowledge we're going to have,

![\mathsf{A} \triangle = \dfrac{1}{2}\left[ \left.\begin{array}{ccc} 3 & -7 & 1 \\ 6 & 4 & 1 \\ -2& -3 & 1 \end{array} \right| \begin{array}{cc} 3 & -7 \\ 6 & 4 \\ -2 & -3 \end{array} \right]](https://tex.z-dn.net/?f=%20%5Cmathsf%7BA%7D%20%5Ctriangle%20%3D%20%20%5Cdfrac%7B1%7D%7B2%7D%5Cleft%5B%20%20%5Cleft.%5Cbegin%7Barray%7D%7Bccc%7D%20%20%203%20%26%20-7%20%26%201%20%5C%5C%206%20%26%20%204%20%26%201%20%5C%5C%20-2%26%20%20-3%20%26%201%20%5Cend%7Barray%7D%20%20%5Cright%7C%20%5Cbegin%7Barray%7D%7Bcc%7D%203%20%26%20-7%20%5C%5C%206%20%26%204%20%5C%5C%20-2%20%26%20-3%20%5Cend%7Barray%7D%20%5Cright%5D%20)


Hope you enjoy it, see ya!)
Mozambique, Maputo – Matola City – T-3
DavidJunior17
How much we need for start-up supplies . . . . . $25
AFTER start-up supplies we want to have . . . $70
Total amount we need to get started . . . (25 + 70) = $95
Number of people contributing . . . (me + 4) = 5
<em>Amount each person needs to kick in</em> . . . (95/5) = <em>$19</em>
As your preliminary Accountant, please reserve me one dozen (13) bagels from the first batch you produce !