Answer:
R=6.57978
also everyone add my sc- amber_hughes42
Step-by-step explanation:
we are given
I=3.8 \times 10^6
I_0=1
now, we can use formula
R=log(\frac{I}{I_0} )
now, we can plug these values
we get
R=log(\frac{3.8 \times 10^6}{1} )
Check the picture, notice the domain in red.
recall that the domain is the values for the x-coordinate, whilst the range is the values for the y-coordinate.
Answer:
see below
Step-by-step explanation:
It is given that the roll of fencing is 36 ft long. Hence the perimeter of the fencing is 36 ft long.
Since the fence is to be rectangular,
Perimeter = (2 x Length ) + (2 x Width) = 36 feet
The quickest would be using calculus, but the most simple way (without using polynomials) would be to simply list the possibilities for Length and Width:
If we consider only half of the perimeter, i.e only 1 Length and 1 Width:
From the formula above,
(1/2) of Perimeter = Length + Width = 18 feet
Given that the Length & Width are to be whole numbers AND that the sum of Length & Width adds up to 18, then the possible dimensions and area are as follows:
Assemble a table in the following format:
Length x Width = Area
18 x 1 = 18
17 x 2 = 34
16 x 3 = 48
15 x 4 = 60
14 x 5 = 70
13 x 6 = 78
12 x 7 = 84
11 x 8 = 88
10 x 9 = 90
9 x 10 = 90 (anything from here onward basically repeats the previous lines, so we ignore this line and any others that follow)
a) The possible dimensions are everything listed in the table above except the last line which is repeated
b) we can see plainly that the maximum area is 10ft x 9ft = 90 sq feetand the minimum area is 18ft x 1ft = 18 sq feet
Answer:
=2*3^2 *7
Step-by-step explanation:
Prime factorization means to simplify 126 down to prime numbers
126 = 2*63
= 2* 9*7
= 2*3*3*7
Since 2 3 and 7 are prime numbers, we rewrite these with exponents
=2*3^2 *7
A table will have a length and width, so the area will be just that, the product of those two factors, so in short, simply factor the area of x²+7x-30.
now, if we do a "prime factoring" of 30, we get 2*3*5, and we can mix them as 2*5 and 3, to get the factors of (x² + 10)(x²-3).
