Answer:
-13
Step-by-step explanation:
Given are two vectors v and w.
v=(6,7,-3) and
w=(-7,5,2)
We are to find the dot product of v.w
We have
Dot product is obtained by multiplying corresponding pairs and adding them
Here we have
v.w=6(-7)+7(5)-3(2)
=-13
The area is 84.
What I do it cut the polygon into something easier like a square and rectangle.
Rectangle: 6•12=72
Square: 4•3=12
Add them together and you have 84
First, let's start off by simplifying as much as possible before factoring.
5d^2 - 50d + 125
We can divide all the numbers by 5 in order to simplify it:
5(d^2 - 10d + 25)
Now all we need to do is factor.
Since -5*-5 = 25 and -5 - 5 = -10, we can use this to factor:
5(d - 5)(d - 5)
Or
5(d - 5)^2
We can calculate it by PVOA table.
PVOA means present value of an ordinary annuity.
PMT = $350
PMT means recurring payment.
time = 5 years and interest rate is 4%
So n = 5 and i = 4%
So we can calculate PVOA as
PVOA = PMT times (PVOA factor for n = 5 and i = 4%)

(PVOA factor PVOA table)

So present value is $1558.2
Answer:
(a) 1:2
(b) 6 cups
(c) 
Step-by-step explanation:
(a) Given,
amount of rice mixture contains= 1 cup
amount of water mixture contains= 2 cups


So, the ratio of rice to water is 1:2.
(b) Amount of rice in mixture = 3 cups


=> amount of water in mixture = 3 x 2
= 6 cups
(c) 



So, the amount of water in the mixture will be
cup.