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Luba_88 [7]
2 years ago
14

What is 67.24 in simple form

Mathematics
1 answer:
Tems11 [23]2 years ago
7 0
What? it's already in simplest form so...
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Tisha and Dana were both fishing for salmon, and by coincidence, caught the same number of fish this week. Tisha caught salmon i
solong [7]

Answer:

The minimum number of fish each must have caught is 90 fishes

Step-by-step explanation:

The number of fishes Tisha's net can hold = 15

The number of fishes Dana's net can hold = 18

Let the total number of fishes both Tisha and Dana caught = X

15 × A = 18 × B = X

Therefore, X is the lowest common multiple (LCM) of 15 and 18 given as follows;

15 = 3 × 5

18 = 3 × 6

Therefore, the LCM of 18 and 5 = 3 × 5 × 6 = 90

Which gives, the minimum number of fish each must have caught = 90 fishes.

4 0
3 years ago
What is the third term in the binomial expansion of (3x y3)4? 54x2y3 18x2y3 18x2y6 54x2y6.
hjlf

From the simplified form of the expression, the third term on expansion is 54x^2y^6

Given the expression (3x + y^3)^4

  • For binomial expansion, the power of 3x will be decreasing while y^3 will be increasing.

On expansion, the resulting expression will be:

  • =(3x + y^3)^4\\=(3x)^4(y^3)^0 + 4 (3x)^3(y^3)^1 + 6(3x)^2(y^3)^2 + 4(3x)^1(y^3)^3 + (3x)^0(y^3)^4\\

Simplify the result to have:

  • =81x^4+81x^3y^3+54x^2y^6+12xy^9+y^{12}

From the simplified form of the expression, the third term on expansion is 54x^2y^6

Learn more on binomial expansion here: brainly.com/question/13800206

8 0
2 years ago
Find the equation ( in slope - intercept form ) of the line with the given slope that passes through the point with the given co
svlad2 [7]

Answer:

  y = 4/3x +8/3

Step-by-step explanation:

The point-slope form is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

For the given point and slope, this is ...

  y -4 = 4/3(x -1)

Adding 4 and eliminating parentheses, you have ...

  y = 4/3x -4/3 +4

  y = 4/3x +8/3

5 0
2 years ago
Write the equation in vertex form of the parabola with the vertex (-4,-4) that goes through the point (-2,-16)
Brrunno [24]

Answer:

- 3(x + 4) {}^{2}  - 4

Step-by-step explanation:

Vertex form is

a(x - h) {}^{2}  + k = f(x)

We know that h and k are both -4. Let x be -2 and y be -16.

a( - 2  + 4) {}^{2}   - 4 =  - 16

a(2) {}^{2}  - 4 =  - 16

4a - 4 =  - 16

4a =  - 12

a =  - 3

So the equation in vertex form is

- 3(x  + 4) {}^{2}  - 4

5 0
2 years ago
The Dynaco Manufacturing Company produces a product in a process consisting of operations of five machines. The probability dist
TEA [102]

Answer:

Answer is given below.

Step-by-step explanation:

Machine Breakdown   Probability      Cumulative-Distribution-Rang         Rang

Per week    

0                                     0.10                              0.10                                    0-9

1                                     0.10                             0.20                                   10-19

2                                     0.20                             0.40                                  20-39

3                                     0.25                              0.55                                   40-64

4                                    0.30                             0.95                                      65-94

5                                       0.5                              1.0                                      95-99

8 0
3 years ago
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