Answer:
1 1/2 blue beads 1.3 red beads and 1.2 green beads
Step-by-step explanation:
First you want to subtract 36
so it looks like this ![\sqrt[4] {(4x+164)^3}=64](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%20%7B%284x%2B164%29%5E3%7D%3D64)
Then you want to cancel out the square root 4 by raising that to the 4th power (you must do this to both sides)
which is equal to 
Then you take the cube root to both sides [tex]\sqrt[3]{(4x+164)^3}=\sqrt[3]{16777216}[tex]
Then you end up with the equation 4x+164=256
Then subtract 164 to both sides
4x=92
then divide 92 by 4
Then you get x=23
It should be 0.4 or 4/10 or 2/5
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 with Step-by-step explanation:
We are given that
E=Event denote the event that the individual must stop at the first light
F=Event denote the event that the individual must stop at the second light
P(E)=0.4
P(F)=0.2

a.We have to find the probability that the individual must stop at atleast one light.
We know that

Substitute the value in the given formula then, we get


b.

c.We have to find the probability that the individual must stop at exactly one of the two lights.
P(must stop at exactly one of the two lights)=
P(must stop at exactly one of the two lights)=0.3
d.We have to find the probability that the individual must stop just at the first light.
P(must stop juts at the first light)=
P(must stop juts at the first light)=0.4-0.15=0.25