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valina [46]
2 years ago
14

A sequence is shown in the graph.

Mathematics
1 answer:
marysya [2.9K]2 years ago
8 0
<h3>Answer:   Choice C</h3>

Explanation:

Focus on the y coordinates. They are: 6, 3, 1.5, 0.75

Divide each by their previous term

  • 3/6 = 0.5
  • 1.5/3 = 0.5
  • 0.75/1.5 = 0.5

We have a common ratio of r = 0.5

This proves we have a geometric sequence.

The starting term is a = 6

The nth term is a_n = a(r)^{n-1} = 6(0.5)^{n-1} which is likely what choice C is showing. Though choice C should be written as 6(0.5)^(n-1)

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ValentinkaMS [17]

Answer: thats fun i guess keep Vibin doe

Step-by-step explanation:

4 0
3 years ago
An assembly line with 10 tasks needs be designed. The total time for all tasks is 16 minutes. If you need to produce 30 units/ho
Sindrei [870]

Answer: 8 minimum work stations is what would be needed.

Step-by-step explanation:

The cycle time is computed as the operating time daily divided by the scheduled output.

It is important to note that the daily capacity of the operation layout is the operating time divided by the cycle time.

Therefore,

If you need to produce 30units/hour.

The average cycle time is as follow:

The average cycle time is the average time between the completions of units.

60/30= 2 average cycle time

=16/2

=8

8 work stations is the minimum number that would be needed.

It is important to know that in an assembly line balancing, the minimum number of work station is the ratio of the sum of all tasks time to the cycle time.

5 0
3 years ago
Bill has saved $825 from his last 8 paychecks. He saved either $75 or $150 a paycheck. Formulate and solve a system of equations
11Alexandr11 [23.1K]

Answer: 5 times

Step-by-step explanation:

Let the number of times that he saved $75 be x.

Let the number of times that he saved $150 be y.

Therefore, based on the information given in the question, we can form an equation which will be:

x + y = 8 ...... i

75x + 150y = 825 ....... ii

From equation I,

x + y = 8

y = 8 - x....... iiii

Put equation iii into ii and this will be:

75x + 150y = 825

75x + 150(8 - x) = 825

75x + 1200 - 150x = 825

75x - 150x = 825 - 1200

-75x = -375

x = 375/75

x = 5

He saved $75 5times from his paycheck.

4 0
3 years ago
Find the surface area of the right prism. Round to the nearest whole number.
andriy [413]

Answer:

\large\boxed{S.A.=96\ cm^2}

Step-by-step explanation:

We have:

(1) two trapezoids with bases b₁ = 7cm and b₂ = 5cm and the height h = 4cm

(2) three rectangles 3 cm × 7 cm, 3 cm × 4 cm and 3 cm × 5 cm.

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

Substitute:

A=\dfrac{7+5}{2}\cdot4=24\ cm^2

Calculate the areas of the rectangles:

A_1=(3)(7)=21\ cm^2\\\\A_2=(3)(4)=12\ cm^2\\\\A_3=(3)(5)=15\ cm^2

The Surface Area:

S.A.=(2)(24)+21+12+15=96\ cm^2

5 0
3 years ago
What's The Answer??????????????????
Yuri [45]
f(x) =  \dfrac{x}{2} - 2

g(x) = 2x^2 + x - 3

(f + g)(x) =  \dfrac{x}{2} - 2+ 2x^2 + x - 3

(f + g)(x) = 2x^2 + \dfrac{3}{2}x - 5
7 0
3 years ago
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