Answer:
The circulation of the given vector is (5/2)x² + 7yz + 6yz + C
Step-by-step explanation:
Given that F = 5xi + 7zj + 6yk
The circulation of F is given as
Integral of F.dr
dr = idx + jdy + kdz
F.dr = (5xi + 7zj + 6yk).(idx + jdy + kdz)
= 5xdx + 7zdy + 6ydz
Integral of F.dr = Integral of (5xdx + 7zdy + 6ydz)
= (5/2)x² + 7yz + 6yz + C
Answer:
k ≥ 12
Explanation:
We are given that the least possible value for k is 12.
This means that k can either be 12 or more.
Translating this into an inequality, we will find that the inequality is as follows:
k ≥ 12
Hope this helps :)
Answer:
Hence two consecutive even integers are 14 and 16
Step-by-step explanation:
Let x and x+2 be the two consecutive even integers
Then according to the given statement in the question
8x = 7(x+2)
<u>Distributive property </u>
8x=7x+14
<u>Subtraction Property of Equality</u>
8x-7x = 14+7x-7x
<u>Simplifying</u>
x = 14
So the first integer is 14 and second is:
x+2 = 14+2 = 16
Hence two consecutive even integers are 14 and 16 ..
Hey there Olivia0,
The price of 3.4 pounds of apples is $0.60 per pound. How much is the total?
Answer:
1 pound = $0.60
3.4 pounds = $0.60 x 3.4
= $2.04
Hope this helps :D
<em>~Top♥</em>
Answer:
-15x - 23 = 15
General Formulas and Concepts:
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define Equation</u>
-14 - 3x - 9 - 12x = 15
<u>Step 2: Simplify</u>
- Combine like terms (x): -15x - 14 - 9 = 15
- Combine like terms (Z): -15x - 23 = 15