Answer:
116
Step-by-step explanation:
3 to the power of 4 is 81. 7x5 =35+81=116
Answer:
7y^2 - y^2z - 10yz-5
C. 7 y squared minus y squared z minus 10 y z minus 5
Step-by-step explanation:
A. y squared minus y squared z minus 10 y z minus 5
B. y squared minus y squared z minus 5 y z minus 5
C. 7 y squared minus y squared z minus 10 y z minus 5
D. 7 y squared minus y squared z minus 2 y z minus 5
Given:
3y^2 - 6yz - 7 + 4y^2 - 4yz + 2 - y^2z
Collect like terms in the expression
3y^2 + 4y^2 - 6yz - 4yz - y^2z - 7 + 2
Simplify
7y^2 - 10yz - y^2z - 5
Rewritten as
7y^2 - y^2z - 10yz-5
Option C. 7 y squared minus y squared z minus 10 y z minus 5
Is the answer
Answer:
$270
Step-by-step explanation:
We are given;
- The rate of increase is 8%
- The new amount is $250
We need to determine the value in the next year with the same rate of increase;
Therefore;
250% = 100%
New amount = 100 + 8 = 108%
Therefore;
New amount = (250 × 108)÷ 100
= $270
Therefore, the value in the next year is $270
Answer:
The total charge on the rectangle is 29.33C
Step-by-step explanation:
Given
σ(x, y) = 2xy + y²
For 2 ≤ x ≤ 4, 0 ≤ y ≤ 2
The total charge on the rectangle is calculated as follows.
Charge, q = ∫∫2xy + y² dydx {0,2}{2,4}
Integrate with respect to y
q = ∫xy² + ⅓y³ dydx {0,2}{2,4}
q = ∫(2²*x + ⅓*2³) dx {2,4}
q = ∫4x + 8/3 dx {2,4}
Integrate with respect to x
q = 2x² + 8x/3 {2,4}
q = (2(4)² + 8(4)/3) - (2(2)² + 8(2)/3)
q = 29.33C
Answer: I think. it's 0
Step-by-step explanation: