Answer:
~q→~p
Step-by-step explanation:
The contrapositive of a statement is formed by negating the hypothesis and conclusion of a statement and switching them (the hypothesis becomes the conclusion and vice versa).
With this definition we can conclude that the contrapositive of p→q would be ~q→~p
Answer:
The total amount of lawns to be mowed would be 20 in 35 hours.
Step-by-step explanation:
It takes an hour and 45 minutes to mow one lawn. When you multiply the 7 hours by 5 you get 35 hours. Same thing if you multiply the 4 lawns by 5 you get 20 lawns.
Answer:
![(6^{10})^{-7}](https://tex.z-dn.net/?f=%286%5E%7B10%7D%29%5E%7B-7%7D)
Step-by-step explanation:
The value of expanding (2x -3)^4 is 16x^4 + 96x^3 +216x^2 -216x + 81
<h3>How to expand the expression?</h3>
The expression is given as:
(2x -3)^4
Using the binomial expansion, we have:
![(2x -3)^4 = ^4C_0 * (2x)^4 * (-3)^0 +^4C_1 * (2x)^3 * (-3)^1 + ^4C_2 * (2x)^2 * (-3)^2 + ^4C_3 * (2x)^1 * (-3)^3 + ^4C_4 * (2x)^0 * (-3)^4](https://tex.z-dn.net/?f=%282x%20-3%29%5E4%20%3D%20%5E4C_0%20%2A%20%282x%29%5E4%20%2A%20%28-3%29%5E0%20%2B%5E4C_1%20%2A%20%282x%29%5E3%20%2A%20%28-3%29%5E1%20%2B%20%5E4C_2%20%2A%20%282x%29%5E2%20%2A%20%28-3%29%5E2%20%2B%20%5E4C_3%20%2A%20%282x%29%5E1%20%2A%20%28-3%29%5E3%20%2B%20%5E4C_4%20%2A%20%282x%29%5E0%20%2A%20%28-3%29%5E4)
Evaluate the combination factors.
So, we have:
![(2x -3)^4 = 1 * (2x)^4 * (-3)^0 + 4 * (2x)^3 * (-3)^1 + 6 * (2x)^2 * (-3)^2 + 4 * (2x)^1 * (-3)^3 + 1 * (2x)^0 * (-3)^4](https://tex.z-dn.net/?f=%282x%20-3%29%5E4%20%3D%201%20%2A%20%282x%29%5E4%20%2A%20%28-3%29%5E0%20%2B%204%20%2A%20%282x%29%5E3%20%2A%20%28-3%29%5E1%20%2B%206%20%2A%20%282x%29%5E2%20%2A%20%28-3%29%5E2%20%2B%204%20%2A%20%282x%29%5E1%20%2A%20%28-3%29%5E3%20%2B%201%20%2A%20%282x%29%5E0%20%2A%20%28-3%29%5E4)
Evaluate the exponents and the products
![(2x -3)^4 = 16x^4 + 96x^3 +216x^2 -216x + 81](https://tex.z-dn.net/?f=%282x%20-3%29%5E4%20%3D%2016x%5E4%20%20%2B%2096x%5E3%20%20%2B216x%5E2%20-216x%20%2B%2081)
Hence, the value of expanding (2x -3)^4 is 16x^4 + 96x^3 +216x^2 -216x + 81
Read more about binomial expansions at:
brainly.com/question/13602562
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