Answer:
1.0.024 hp
Step-by-step explanation:
We are given that
Constant force=F=112 N

Speed of lawn mower,v=20 cm/s=
1 m=100 cm
1 hp=746 watt
We have to find the power output
Force applied by women on lawn mower=
Force applied by women on lawn mower=
N
Power output,P=
Using the formula
Power output=
Power output,P=
hp
Hence, option 1 is true
We have
x² + 24x = 17 (1)
Note that
(x + 12)² = x² + 24x + 144
By adding 144 to the left side of equation (1), it becomes a perfect square.
Therefore
x² + 24x = (x+12)² - 144 (2)
Substitute (2) into (1).
(x + 12)² - 144 = 17
(x + 12)² = 17 +144
(x + 12)² = 161
Answer:
We added 144 to the left side of equation (1) in order to make it a perfect square.
Answer:
x = 1
Step-by-step explanation:
Using the rules of logarithms
log
⇔ n log x
x = n ⇔ x = 
Given
3
(2x) = 3
(2x)³ = 3
(2x)³ = 2³
8x³ = 8 ( divide both sides by 8 )
x³ = 1 ( take the cube root of both sides )
x = 1
Answer:
Inequality that represents the amount paid by neighbors of Dani will be
x ≤ 8 + (4 + 16)
Step-by-step explanation:
Let the neighbors of Dani paid her to take care of their bird = $x
Danny spent on an afternoon snack = $4
She paid the amount for a new book = $16
Now the amount left with her is at least $8.
Therefore, inequality which represents the amount paid by her neighbor will be
x - 4 - 16 ≤ 8
x ≤ 8 + (4 + 16)