Answer:
C
Step-by-step explanation:
Graph f = x^2. Then the graph of g = (x + 3)^2 has the same shape, BUT its graph is that of f shifted 3 units to the LEFT. C is correct
Surface area of a cuboid
= [2(length)(width)] + [2(width)(height)] + [2(height)(length)]
= {[2(4)(2.5)] + [2(2.5)(2)] + [2(2)(4)]} units²
= (20 + 10 + 16) units²
= 46 units²
Step-by-step explanation:
We have,
First terms of geometric sequence, a = 0.3
Common ratio, r = 3
It is required to find the 12th term of a GP. The formula of the nth term is given by :

Here, n =12
So,

or

So, the 12th term of the GP is 53144.
Answer:
2.60 hours
Step-by-step explanation:
A hose fills a hot tub at a rate of ,
2.09 gallons ⇒ 1 minute
Now we have to find the time which takes to fill a 327 gallon hot tub.
For that, let the unknown time be x.
So,
2.09 gallons ⇒ 1 minute
327 gallon ⇒ x
Use cross multiplication to find the value of x.
2.09 x = 327 × 1
2.09x = 327
x = 327 ÷ 2.09
x = 156.45 min
Therefore, it takes 156.45 minutes.
But the question is asked for hours.
So,
Let us solve now.
156.45 ÷ 60 = 2.60 hours
Let me know if you have any other questions :-)
There are several information's already given in the question. It is very important to look at the attached diagram very closely. The angle given in the question is 73 degrees.
Then
x = 180 - 73
= 107 degrees
I hope that this is the answer that you were looking for and the answer has actually come to your desired help.