Answer:
4.5
Step-by-step explanation:
They must have tied one game since it is a odd number.
Answer:
The length of the rectangle (l) = 3 feet
The width of the rectangle (W) = 10 feet
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given that the width of the rectangle = (x+1) feet</em>
<em>Given that the length of the rectangle = ( x-6) feet</em>
<em>The area of the rectangle = 30 square feet</em>
<u><em>Step(ii):-</em></u>
We know that the area of the rectangle
= length ×width
30 = ( x+1)(x-6)
30 = x² - 6x + x -6
⇒ x² - 5 x - 6 = 30
⇒ x² - 5 x - 6 - 30 =0
⇒ x² - 5 x - 36 =0
x² - 9 x +4x - 36 =0
x (x-9) +4 ( x-9) =0
( x+4 ) ( x-9) =0
( x+4 ) =0 and ( x-9) =0
x =-4 and x =9
<u><em>Step(iii):-</em></u>
we have to choose x =9
The length of the rectangle (l) = x-6 = 9-6 =3
The width of the rectangle (W) = x+1 = 9 +1 = 10
<u><em>Final answer:-</em></u>
The length of the rectangle (l) = 3 feet
The width of the rectangle (W) = 10 feet

Take the logarithm of both sides and expand the right hand side:




Now take the derivative of both sides with respect to
:



I'd stop there, but you could condense the right side a bit to get


Answer:
c) 18 units
d) 1 second
Step-by-step explanation:
h = -16t² - 4t + 20
c) t = 0.25
h = -16(0.25)² - 4(0.25) + 20
h = 18
d) -16t² - 4t + 20 = 0
4t² + t - 5 = 0
4t² + 5t - 4t - 5 = 0
t(4t + 5) - (4t + 5) = 9
(4t + 5)(t - 1) = 0
t = -1.25, 1
t = 1 second
Answer:
$\frac{4\cdot\left(5^2\right)^5\left(-20\right)^3\left(-8\ right)^{-6}}{5^{-3}\cdot\:25^3\ ... 3(−8) −65 −3· 25 3(( −5) −2) −4 =−251024 ( Decimal : −0.0244140625) .