Factor out 7y
7y(y^2 + 3y + 2)
7y(y + 1)(y + 2)
Answer:
157.6m
Step-by-step explanation:
Given
Horizontal distance = 181m
Length of the rope =240m
To know how high above Kayla was, we will use the Pythagoras theorem.
According to the theorem;
d² = x²+y²
x is the horizontal distance
y is the vertical distance
d is the length of the rope
Substitute
240² = 181²+y²
y² = 240²-181²
y² = 24839
y = √24839
y = 157.6m
Hence the boat is 157.6m above Kayla
Answer:
Step-by-step explanation:
Given:
Carbon-14
t1/2 = 5700 years
t1 = 11400 years
t2 = 17100 years
N(t) = No(1/2)^(t/t1/2)
Where,
N(t) = amount of carbon left at time, t
No = initial amount of carbon
t = time taken
t1/2 = half life
Assume No = 1
N(11400) = 1 × (1/2)^(11400/5700)
= (1/2)^2
= 1/4
N(17100) = 1 × (1/2)^(17100/5700)
= (1/2)^3
= 1/8
From the fractions got from N(11400) and N(17100), 1/4 and 1/8 we can see a decrease in the initial amount of carbon by 1/2.
B.
t1/2 = 80000 years
N(t) = No × (1/2)^(t/80000)
Assume No = 1
N(t) = 1 × (1/2)^(t/80000)
Water:tomato paste
3:4
35:?
35x4÷3
140÷3
46.67
3:4 = 35:46.67
