Answer:
1
Step-by-step explanation:
![\huge {625}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div 25 \\ \\ = \huge {( {5}^{4})}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ = \huge{5}^{ \cancel4 \times \frac{3}{ \cancel8 \: \: \red{ \bold 2}} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} + \frac{1}{2}} \div {5}^{2} \\ \\ \huge= {5}^{ \frac{4}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ 2 } \div {5}^{2} \\ \\ \huge= {5}^{ 2 - 2 } \\ \\ \huge= {5}^{ 0 } \\ \\ \huge= 1](https://tex.z-dn.net/?f=%20%5Chuge%20%7B625%7D%5E%7B%20%5Cfrac%7B3%7D%7B8%7D%20%7D%20%20%5Ctimes%20%20%7B5%7D%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%20%7D%20%20%5Cdiv%2025%20%5C%5C%20%20%5C%5C%20%3D%20%20%5Chuge%20%7B%28%20%7B5%7D%5E%7B4%7D%29%7D%5E%7B%20%5Cfrac%7B3%7D%7B8%7D%20%7D%20%20%5Ctimes%20%20%7B5%7D%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%20%7D%20%20%5Cdiv%20%20%7B5%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%20%5Chuge%7B5%7D%5E%7B%20%5Ccancel4%20%5Ctimes%20%20%5Cfrac%7B3%7D%7B%20%5Ccancel8%20%5C%3A%20%20%5C%3A%20%20%5Cred%7B%20%5Cbold%202%7D%7D%20%7D%20%20%5Ctimes%20%20%7B5%7D%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%20%7D%20%20%5Cdiv%20%20%7B5%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%20%5Chuge%3D%20%20%7B5%7D%5E%7B%20%5Cfrac%7B3%7D%7B2%7D%20%7D%20%20%5Ctimes%20%20%7B5%7D%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%20%7D%20%20%5Cdiv%20%20%7B5%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%5Chuge%3D%20%20%7B5%7D%5E%7B%20%5Cfrac%7B3%7D%7B2%7D%20%20%2B%20%5Cfrac%7B1%7D%7B2%7D%7D%20%20%5Cdiv%20%20%7B5%7D%5E%7B2%7D%20%20%5C%5C%20%5C%5C%20%5Chuge%3D%20%20%7B5%7D%5E%7B%20%5Cfrac%7B4%7D%7B2%7D%20%20%7D%20%20%5Cdiv%20%20%7B5%7D%5E%7B2%7D%20%20%5C%5C%20%5C%5C%20%5Chuge%3D%20%20%7B5%7D%5E%7B%202%20%20%7D%20%20%5Cdiv%20%20%7B5%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%20%5Chuge%3D%20%20%7B5%7D%5E%7B%202%20%20-%202%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%20%5Chuge%3D%20%20%7B5%7D%5E%7B%200%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%20%5Chuge%3D%20%201)
Answer: The Area of the triangle is 85.5. Area of the semi-circle 127.235
Step-by-step explanation: Add them together to get your answer. So then techinically you won't be cheating :) .
Answer:
L(f(t)) = ![2 \frac{e^{-s} }{s} - \frac{1}{s}](https://tex.z-dn.net/?f=2%20%5Cfrac%7Be%5E%7B-s%7D%20%7D%7Bs%7D%20-%20%5Cfrac%7B1%7D%7Bs%7D)
Step-by-step explanation:
let f be a function defined for t ≥ 0
we can write the function f(t) in terms of unit function as follows
f(t) = 2 u,(t) - 1 where
0≤ t < 1
f(t) = (2 * 0) -1 = -1
when t ≥ 1
f(t) = (2*1 )- 1 = 1
Now the Laplace transform L(F(T)) = 2L( u, (t) ) - L(1) --------equation 1
this is because L(u,(t)) = ![\frac{e^{-cs} }{s}](https://tex.z-dn.net/?f=%5Cfrac%7Be%5E%7B-cs%7D%20%7D%7Bs%7D)
c = 1 hence L(1) = 1/s
back to equation 1
L(f(t)) = 2
- 1/s laplace transform
also L(u(t) ) = ![\frac{e^{-s} }{s}](https://tex.z-dn.net/?f=%5Cfrac%7Be%5E%7B-s%7D%20%7D%7Bs%7D)
The total change in the amount of water in the pool is 288 gallons.
<h3>What is Volume?</h3>
Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
Here, Rate of water pumped into her pool = 6 gallons / minute.
Total Duration = 48 minutes
Total amount of water = Rate X Time
= 6 X 48
= 288 gallons
Thus, the total change in the amount of water in the pool is 288 gallons.
Learn more about Volume from:
brainly.com/question/1578538
#SPJ1
Answer:
75 boys
Step-by-step explanation:
5:4
? : 60
60/4= 15
?/5=15
*5 *5
?= 75