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3 years ago

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On a bike lock there are three tumblers where the digits 0, 1, 2, ...., 9 appear on each tumbler. A lock is going to be a three

digit code (where numbers can be repeated). Find the number of possible codes for the lock.

1 answer:

skad [1K]3 years ago

3 0

Answer: 1000

Step-by-step explanation:

The number of combinations is equal to the product of the number of options for each tumbler.

Each tumbler has 10 possible numbers, and we have 3 tumblers, then the number of combinations is:

C = 10*10*10 = 10^3 = 1000

We have 1000 possible codes for the lock.

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You need to add, (9+2X)+(2+3c)

ElenaW [278]

Answer:

3c + 2x + 11

Step-by-step explanation:

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4 years ago

A devastating freeze in California's Central Valley in January 2007 wiped out approximately 75% of the state's citrus crop. It t

solniwko [45]

The relationship between the percentage of frozen citrus crop, and the cost of box of oranges is an illustration of a linear function.

<em>The linear equation of the function is: </em> $g(P) = 22.9P+7$ <em>.</em>
<em>The inverse function is: </em> $g^{-1}(c) = \frac{1}{22.9}(c - 7)$ <em> .</em>
<em>A practical domain is from 0% to 100%</em>
<em>A practical range is from 7 to 29.9 </em>

<u>A. Input quantity</u>

The input quantity is the percentage of frozen citrus crop

<u />

<u>B. Output quantity </u>

The output quantity is the cost of box of oranges

<u>C. The linear function</u>

We have:

$(P_1,c_1) = (20\%,11.58)\\(P_2,c_2) = (80\%,25.32)$

<em>Calculate the slope of the function</em>

$m = \frac{c_2 - c_1}{P_2 - P_1}$

$m = \frac{25.32 - 11.58}{80\%-20\%}$

$m = \frac{13.74}{60\%}$

$m = 22.9$

<em>The linear equation is calculated as follows:</em>

$c -c_1 = m(P-P_1)$

$c -11.58= 22.9(P-20\%)$

$c-11.58 = 22.9P-4.58$

<u>D. Rewrite as y = mx + b</u>

We have:

$c-11.58 = 22.9P-4.58$

Collect like terms

$c = 22.9P - 4.58 + 11.58$

$c = 22.9P+7$

<em>The function is:</em>

$g(P) = 22.9P+7$

<u>E. A practical domain</u>

The domain is the possible values of P. Because P is a percentage, its possible values are 0% to 100%.

The domain of the function is: $[0\%,100\%]$

<u>F. A practical range</u>

When P = 0%

$c = 22.9 \times 0\% + 7 = 7$

When P = 100%

$c = 22.9 \times 100\% + 7 = 29.9$

Hence, the range of the function is: $[7,29.9]$

G. The meaning of $g^{-1}(12)$

The inverse function of g(P) is $g^{-1}(P)$

So:

$g^{-1}(12)$ is the percentage of frozen citrus crop, when the cost is $12.

<u>H. The inverse formula</u>

We have:

$c = 22.9P+7$

Subtract 7 from both sides

$c - 7 = 22.9P$

Make P the subject

$P = \frac{1}{22.9}(c - 7)$

So, the inverse formula is:

$g^{-1}(c) = \frac{1}{22.9}(c - 7)$

Substitute 12 for c

$g^{-1}(12) = \frac{1}{22.9}(12 - 7)$

$g^{-1}(12) = \frac{1}{22.9} \times 5$

$g^{-1}(12) = 22\%$

Read more about linear equations at:

brainly.com/question/19770987

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3 years ago

A certain quadrilateral has two pairs of parallel sides. The opposite sides are equal in length. There are also 4 right angles.

DENIUS [597]

Answer:

12 + 12 = 24

Step-by-step explanation:

P = 2L + 2W

P = 2*16 + 2W

P = 56

56 = 32 + 2W Subtract 32 from both sides

56 - 32 = 2W

24 = 2W Divide by 2

24/2 = 2W/2

12 = W

The answer you want is 2 * 12 = 24

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3 years ago

sofia can paint a house in 10 hours juana can paint the same in 9 hours how long would it take them if they worked together

lubasha [3.4K]

If Sofia and Juana worked together I would take them 1 hour

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3 years ago

The density of silver is 10.5 g/cm3. find the volume of a silver bar if its mass is 950 g

Mademuasel [1]

950 g * 1 cm^3/10.5g = 950/10.5 cm^3 = 90.476 cm^3

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3 years ago

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