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2 years ago

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How do I determine the 50th term for the sequence -5, -1, 3, 7, 11

1 answer:

Aneli [31]2 years ago

3 0

The sequence is going up by 4 so u have to multiply each term by four and the -5 is it’s 0th term as well it’s beginning so you have to input that in the equation as well
4(50) - 5 = 200 - 5 = 195
I’m not very good at explaining so I hope u get it

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Write 2.3181818... as a mixed number.

Nezavi [6.7K]

Assuming the pattern continues, let $x=2.3181818\ldots=2.3\overline{18}$ .

Then $10x=23.\overline{18}$ and $1000x=2318.\overline{18}$ , and we have

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Since $51=2\cdot22+7$ , we can write $x$ as the mixed number $2+\dfrac7{22}$ .

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Lieutenant Commander Data is planning to make his monthly (every 30 days) trek to Gamma Hydra City to pick up a supply of isolin

Nookie1986 [14]

Answer:

a

$N = 209 \ unites$

b

$N_{max} = 249$

Step-by-step explanation:

From the question we are told that

The daily demand is $d = 7/day$

The standard deviation is $\sigma = 3 /day$

The service probability is $s = 95\% = 0.95$

The number of chips in the inventory is $k = 40$

The number of days in his monthly is $T = 30 \ days$

The lead time is $L = 4$

Generally the number he should order (optimal order ) is mathematically represented as

$N = d(L + T)+(\sigma_{T + L} * z) -k$

Here $\sigma__{T+L }}$ is the monthly standard deviation which is mathematically evaluated as

$\sigma__{T + L}} = \sqrt{(T + L) * 1^2}$

=> $\sigma__{T + L}} = \sqrt{34}$

=> $\sigma__{T+L}} = 5.83$

Also z-value for the 95% service probability from the z-table is 1.96

So

$N = 7 * (30 +4 ) + (1.96 * 5.83) - 40$

=> $N = 209 \ unites$

For the maximum order quantity k = 0

So

$N_{max} = d(L + T)+(\sigma_{T + L} * z) -0$

=> $N_{max} = 7 * (30 +4 ) + (1.96 * 5.83) - 0$

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2 years ago

Two wires with lengths of 448 cm and 616 cm are to be cut into pieces of all the same length without a remainder. Find the great

Y_Kistochka [10]

Answer:

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Step-by-step explanation:

We need ro find the GCD of these numbers. In finding the GCD, we list the multiples of the number, beginning with the smallest number. Here, the

The factors of 616=2*2*2*7*11

The factors of 448 =2*2*2*2*2*2*7

Common factors in both are 2*2*2*7=56

Therefore, the greatest possible length is 56 cm

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2 years ago

Sally has completed 1/3 of her shift; Jerry has completed 5/6 of his shift; David has finished 1/2 of his shift; Mona has 7/8 of

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Sally = 1/3
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2 years ago

12x+7<−11 AND5x−8≥4012

Arte-miy333 [17]

Answer:

No solution

Step-by-step explanation:

Given: $12x+7$ and $5x-8\geq 40$

Solve both inequality separately.

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$12x$

$12x$

$x$

$x$

and

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$5x\geq 40+8$

$5x\geq 48$

$x\geq \dfrac{48}{5}$

Hence, the solution of the compound inequality intersection of both solutions.

Please find attachment for number line solution.

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