Step-by-step explanation:
It equals 5/10 That's the answer for you!
Answer:
f(-3)=4
Step-by-step explanation:
Substitute x=-3 into the function
f(-3)=(-3)^2-5
f(-3)=9-5
f(-3)=4
Answer:
30 friends
Step-by-step explanation:
The dimensions of the can are 1.457 inches and 2.913 inches that will give the most volume
Step-by-step explanation:
Let us revise the rule of surface area and volume of a cylinder
- S.A = 2π r h + 2π r²
- V = π r² h
Forty square inches of material is available to make a cylindrical; can of tuna and water, we need to find the dimensions of the can that will give the most volume
∵ S.A = 40 inches²
∵ S.A = 2π r h + 2π r²
∴ 2π r h + 2π r² = 40
Let us use this rule to find h in terms of r
- Subtract 2π r² from both sides
∵ 2π r h = 40 - 2 π r²
- Divide both sides by 2π r
∴
∴
∴
∵ V = π r² h
- Substitute h by its value above
∴
∴ V = 20 r - π r³
To find the most volume differentiate it with respect to r and equate it by 0 to find the value of r
∵ = 20 - 3π r²
∵ = 0
∴ 20 - 3π r² = 0
- Add 3π r² to both sides
∴ 20 = 3π r²
- Divide both sides by 3π
∴ r² = 2.122
- Take √ for both sides
∴ r = 1.457 inches
To find h substitute the value of r in the expression of h
∵
∴
∴ h = 2.913 inches
The dimensions of the can are 1.457 inches and 2.913 inches that will give the most volume
Learn more:
You can learn more about volume of solids in brainly.com/question/6443737
#LearnwithBrainly
Answer:
width = 4.5 inches
Step-by-step explanation:
the area of a rectangle is A = length*width
A = 27 = 6 inches * width
27=6w
solve for w (the width) by dividing each side by 6.
w = 27/6 = 4.5 inches