Find the common denominator for 3 and 10 which is 30 now the denominator is 30 and what you do with one side you do to the other so 6 7/10 turns into
6 21/30 and 2 1/3 turns into 2 10/30 now subtract them so 6 21/30-2 10/30=
4 11/30
Answer:

Step-by-step explanation:
Given

Required
Express as a single expression
We have:

Write 7 as an exponent

Rewrite as:


Apply quotient and product rule of logarithm

Apply law of indices

Solve exponent



Answer:
3 goes with 8 and 5 goes with 2
Step-by-step explanation:
I hope this helps!
Answer:
-0.75k - 2.0
Step-by-step explanation:
0.25k + 1.5 − k − 3.5
Combining like terms with rational coefficients
0.25k + 1.5 - k - 3.5
Collect like terms with rational coefficients
=0.25k - k + 1.5 - 3.5
= -0.75k - 2.0
Answer equals negative zero Point seven five k minus two point zero
Let ????C be the positively oriented square with vertices (0,0)(0,0), (2,0)(2,0), (2,2)(2,2), (0,2)(0,2). Use Green's Theorem to
bonufazy [111]
Answer:
-48
Step-by-step explanation:
Lets call L(x,y) = 10y²x, M(x,y) = 4x²y. Green's Theorem stays that the line integral over C can be calculed by computing the double integral over the inner square of Mx - Ly. In other words

Where Mx and Ly are the partial derivates of M and L with respect to the x variable and the y variable respectively. In other words, Mx is obtained from M by derivating over the variable x treating y as constant, and Ly is obtaining derivating L over y by treateing x as constant. Hence,
- M(x,y) = 4x²y
- Mx(x,y) = 8xy
- L(x,y) = 10y²x
- Ly(x,y) = 20xy
- Mx - Ly = -12xy
Therefore, the line integral can be computed as follows

Using the linearity of the integral and Barrow's Theorem we have

As a result, the value of the double integral is -48-