Answer:
-1.92 cm³
Step-by-step explanation:
The formula for the volume of a cube in terms of side length is ...
V = s³
Then the first-order approximation of volume for a small change ∆s in side length is ...
V(s +∆s) ≈ V(s) + V'(s)·∆s
and the change in volume is ...
∆V ≈ V(s +∆s) -V(s) = V'(s)·∆s
The derivative V'(s) is ...
V'(s) = 3s²
so the change in volume for s = 8 cm and ∆s = -0.01 cm is ...
∆V ≈ 3s²·∆s = 3(8 cm)²(-0.01 cm) = -1.92 cm³
You have to estimate the square root which is what times itself equals the number in the square root. An integer is another word for a whole number or a number without any fractions. So you have to estimate what the square root is to the nearest whole number.
Numbers I think I'm not that smart
X = -6/5 I hope this helps
Answer:
One avocado costs $1 and one tomato costs $0.50
Step-by-step explanation:
Set up a system of equations where t is the number of tomatoes and a is the number of avocados:
4t + 8a = 10
6t + 14a = 17
Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2:
12t + 24a = 30
-12t - 28a = -34
Add them together and solve for a:
-4a = -4
a = 1
Plug in 1 as a into one of the equations and solve for t:
4t + 8a = 10
4t + 8(1) = 10
4t + 8 = 10
4t = 2
t = 0.5
So, one avocado costs $1 and one tomato costs $0.50
