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3 years ago

8. A home security system has a pad with 9 digits (1 to 9). Find the number of possible 5-digit pass codes:

Mathematics

1 answer:

nikdorinn [45]3 years ago

5 0

Answer:

a. 59049

b. 15120

Step-by-step explanation:

<u>a. If digits can be repeated:</u>

There are 9 possible numbers for each digit

That is: possible 5-digit pass codes are 9×9×9×9×9= $9^{5}$ =59049

<u>b. If digits cannot be repeated.</u>

There is

9 possibility for the first digit,

8 possibility for the second digit

7 possibility for the third digit

6 possibility for the fourth digit

5 possibility for the fifth digit

That is: possible 5-digit pass codes are 9×8×7×6×5=15120

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Hi! ❤️ , im looking for some help here. ill give brainliest if able to.

Alexeev081 [22]

Answer:

A. 2^11

Step-by-step explanation:

(They are basically asking what's 2^4 × 2^7, but with more words.)

I usually do each exponent individually:

2^4 is the same as 2 × 2 × 2 × 2 = 16 (or you could have read the text to figure that out)

2^7 is the same as 2 × 2 × 2 × 2 × 2 × 2 × 2 = 128

Then just multiply 128 and 16 to get 2,048, and see which option also gives you 2,048.

BUT, you can also:

(Combine the exponents together to get your answer. Just remember that if it's multiplication you add them, and if it's division you subtract them.)

2^4 × 2^7

4 + 7 = 11

2^11 (This equals 2,048 btw. You don't even have to check all the options to get the answer).

Hope this helps friend :)

The last part I learned from another user, while answering one of your other questions. I personally find this mind blowing, lol.

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3 years ago

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Minchanka [31]

A.between 8 and 10 years of age,
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3 years ago

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Sunday morning, the temperature in Bayfield, Wisconsin was -15.6 degrees Fahrenheit. If the temperature rose 3.8 degrees Fahrenh

Ostrovityanka [42]

Answer:

just add them and leave it as a positive

Step-by-step explanation:

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3 years ago

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Please help! I need the surface area for both. Absurd answer are not tolerated. Thanks if you help!

Natasha_Volkova [10]

Answer:

<h3>Figure 1</h3>

Perimeter of base = 5 + 5 + 8 = 18 ft

Height = 7 ft

Base area = 1/2(8)(3) = 12 ft²

<u>Surface area:</u>

S = 18*7 + 2*12 = 150 ft²

<h3>Figure 2</h3>

<u>Surface area of cube:</u>

S = 6a² = 6(2.5)² = 37.5 m²

<u>Surface area of prism:</u>

S = 2(11 + 9)(7) = 280 m²

<u>Overlapping area:</u>

S = 2.5² = 6.25 m²

<u>Surface area of composite figure:</u>

S = 280 + 37.5 - 2(6.25) = 305 m²

4 0

3 years ago

Can someone offer help to this ratio question

AlekseyPX

Answer:

Cherry Pink has not been made ( $25:17\neq 4:3$ )

Step-by-step explanation:

Given that she already has 60litres of Rose Pink paint, we use the ratios to determine the volumes of red/white used:

$Rose Pink=60l\\\\Red=\frac{1}{3}\times 60\\\\=20l\\\\White=\frac{2}{3}\times 60\\\\=40l$

#Add these proportions to the additional red and white paints to determine if Cherry Pink has been made:

$V_r=20l+80l\\\\=100l\\\\V_w=40l+28l\\\\=68l\\\\\therefore r:w=100l:68l \ \ \ \ \ \ \ \ \ \ \# simplify\\\\r:w=25:17$

We equate this proportion to the Cherry Pink proportion to verify if Cherry pink has been made:

$25:17\neq 4:3$

Hence, Cherry pink has not been made.

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4 years ago