F(x)=3x^2-5 when x=-11
f(-11)=3(-11)^2-5
f(-11)=-33^2-5
f(-11)=1089-5
f(-11)= 1084
Hope this could help!
Answer:
Step-by-step explanation:
Given:
Length of ladder, y = 10 ft
θ = π/3 rad
Using cosine rule,
Sin θ = opposite/hypotenuse
Sin θ = x/y
Sin θ = x/10
Differentiating both sides with respect to dθ,
10 × cos θ × dθ = dx
10 cos θ = dx/dθ
dx/dθ = 10 × cos π/3
= 5 ft/radians.
24 divided by 80= 0.3
24/30 there were 30 questions on the test and he got 24 right
Answer:
The amount of fabric she needs is 3/4 yards
Step-by-step explanation:
To calculate the amount of fabric needed, we need to subtract the sum of what she has at school and at home from what she needs.
What she has can be calculated by adding 3 1/4 + 1 1/2
This would be easier in terms of decimals.
3 1/4 = 3.25 (1/4 = 0.25)
while 1 1/2 = 1.5(1/2 = 0.5)
Adding both, we have 3.25 + 1.5 = 4.75 yards
What is needed is 5 1/2 yards = 5.5 yards
What is needed more is thus 5.5 yards - 4.75 yards = 0.75 yards
Mathematically 0.75 in decimals = 3/4 in fraction form