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ad-work [718]
1 year ago
6

A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated.

Mathematics
2 answers:
never [62]1 year ago
7 0

Answer:

The answer is <em>C</em>

Explanation: Given:A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated.  

there is only 2 numbers which are greater than 7 i.e. 8 and 9. ∴ there is 2 possibility for first place.

For the remaining 3 digits there is 9 possibilities (including 1 which would left after choosing 1 from first place )

No of ways for the alarm code beginning with a number greater than 7= 2 P 1 x 9 P 3

<em>Total ways of code with 4 digits= 10 P 4.</em> Hope this helps :)

Oduvanchick [21]1 year ago
7 0

Answer: The answer is C

Step-by-step explanation:

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aleksley [76]

Answer: 12.32

Step-by-step explanation:

7.04 divided by 4 = 1.76. 1.76 x 7 = 12.32.

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1 year ago
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Marginal cost At a certain factory the marginal cost is 3(q-4)^2 dollars per unit when the level of production is q units.
viktelen [127]

Answer:

a.) C(q) =  -(1/4)*q^3 +  3q^2  -  12q + OH          b.) $170

Step-by-step explanation:

(a) Marginal cost is defined as the decrease or increase in total production cost if output is increased by one more unit. Mathematically:

Marginal cost (MC) = change in total cost/change in quantity

Therefore, to derive the equation for total production cost, we need to integrate the equation of marginal cost with respect to quantity. Thus:

Total cost (C) = Integral [3(q-4)^2] dq = -(1/4)*(q-4)^3 + k

where k is a constant.

The overhead (OH) = C(0) = -(1/4)*(0-4)^3 + k = -16 + k

C(q) = -(1/4)*(q^3  - 12q^2  + 48q - 64) + k = -(1/4)*q^3 +  3q^2  -  12q  -16 + k

Thus:

C(q) =  -(1/4)*q^3 +  3q^2  -  12q + OH

(b) C(14) = -(1/4)*14^3 +  3*14^2  -  12*14 + 436 = -686 + 588 - 168 + 436 = $170

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1 year ago
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A homemade lip balm consists of coconut oil and beeswax. Coconut oil costs $0.50 per ounce and beeswax costs $2.00 per ounce. If
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Let

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b--------> the total cost in dollars of 5 ounces of beeswax

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a=0.50 \frac{\$}{ounce}*6=\$3

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the total cost in dollars of 6 ounces of coconut oil is a=\$3

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7 0
2 years ago
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Evaluate 4-0.25g+0.5h4−0.25g+0.5h4, minus, 0, point, 25, g, plus, 0, point, 5, h when g=10g=10g, equals, 10 and h=5h=5h, equals,
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I believe the correct given equation is in the form of:

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Now we are to evaluate the equation with the given values:

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What this actually means is that to evaluate simply means to calculate for the value of the equation by plugging in the values of the variables. Therefore:

4 – 0.25 g + 0.5 h = 4 – 0.25 (10) + 0.5 (5)

4 – 0.25 g + 0.5 h = 4 – 2.5 + 2.5

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Therefore the value of the equation is:

4

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