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kobusy [5.1K]
3 years ago
9

Type the expression that results from the following series of steps:

Mathematics
1 answer:
alexira [117]3 years ago
7 0

Answer:

7y - 2

Since two is not able to subtract, just leave it.

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18. An urn contains 3 red balls, 2 green balls and 1 yellow ball. Three balls are selected at random and without replacement fro
Goryan [66]

Answer:

27.77%

Step-by-step explanation:

The probability of not drawn a red ball is 3/6. The probability of not drawn a green ball is 4/6, and the probability of not drawn a yellow ball is 5/6. So, the probability of not drawn at least one color is the multiplication of the probabilities of each color, so (3/6)*(5/6)*(4/6) = 0.2777.

5 0
3 years ago
A ½in diameter rod of 5in length is being considered as part of a mechanical linkagein which it can experience a tensile loading
Evgesh-ka [11]

Answer:

a. Maximum Load = Force = 27085.09 N

b. Maximum Energy = 3.440 Joules

Step-by-step explanation:

Given

Rod diameter = ½in = 0.5in

Length = 5in

Young's modulus = 15.5Msi

By applying the 0.2% offset rule,

The maximum load the rod can hold before it gets to breaking point is given as follows by taking the strain as 0.2%

Young Modulus = Stress/Strain ------- Make Stress the Subject of Formula

Stress = Strain * Young Modulus

Stress = 0.2% * 15.5

Stress = 0.002 * 15.5

Stress = 0.031Msi

Calculating the area of the rod

Area = πr² or πd²/4

Area, A = 22/7 * 0.5^4 / 4

A = 22/7 * 0.25 / 4

A = 5.5/28

A = 0.1964in²

The maximum load that the rod would take before it starts to permanently elongate is given by

Force = Stress * Atea

Force = 0.031Msi * 0.1964in²

Force = 31Ksi * 0.1964in²

Force = 6.089Ksi in²

Force = 6.089 * 1000lbf

Force = 6089 lbf

1 lbf = 4.4482N

So, Force = 6089 * 4.4482N

Force = 27085.09 N

b.

Using Strain to Energy Formula

U = V×σ²/2·E

Where V = Volume

V = Length * Area

V = 5 in * 0.1964in²

V = 0.982in³

σ = Stress = 0.031Msi

= 0.031 * 1000Ksi

= 31Ksi

= 31 * 1000psi

= 31000psi

E = Young Modulus = 15.5Msi

= 15.5 * 1000Ksi

= 15.5 * 1000 * 1000psi

= 15500000psi

So,

Energy = 0.982 * 31000²/ ( 2 * 15500000)

Energy = 943,702,000/31000000

Energy = 30.442in³psi

------- Converted to ftlbf

Energy = 2.537 ftlbf

-------- Converted to Joules

Energy = 3.440 Joules

7 0
3 years ago
Need po ang answers ASAP nganong po exam namin
Sonja [21]
Opposite of the integers:
+56
+340
-39
-201
-1124

Solid figures:

Cube
Rectangular prism
Cylinder
Octahedron
Triangular pyramid
8 0
2 years ago
Write a formula for the sequence of cube numbers: 1, 8, 27, 64, ….
Marianna [84]

Answer: n^3, where n = 1,2,3,4,.....

Step-by-step explanation:

The given sequence : 1, 8, 27, 64, ….

We observe that the terms are perfect cubes of consecutive integers (starting from 1) .

Terms can be written as:

First term =  a_1=1=1^3

Second term=a_2=8=2^3

Third term = a_3=27=3^3

Fourth term =a_4=64=4^3

Thus , for any nth term ,the formula for the sequence is : n^3, where n = 1,2,3,4,.....

4 0
3 years ago
Which two fixed points define the shape of a hyperbola
saveliy_v [14]

Answer:

Step-by-step explanation:

The focus and the vertex define the shape of a hyperbola.

4 0
3 years ago
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