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2 years ago

How many different numbers are possible?

1 answer:

8 0

Each of the first 3 letters can be chosen from the 23 letters, {A, B, C, …, U, V, W}, so there are 23³ possible choices.

The first 2 digits can be any number from {0, 1, 2, …, 9}, so there are 10² choices.

The last digit cannot be 0 or 9, so you can select from {1, 2, 3, …, 8} which gives 8 choices.

Then the total number of PINs that you can make is

23³ × 10² × 8 = 9,733,600

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What fraction of this shape is shaded?

Lilit [14]

15% it’s running
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2 years ago

How do you simplify (-1 - 3 √(3) × (-1 - 3 √(3)

harina [27]

Answer:

4 + 6√(3)

Step-by-step explanation:

Two right parentheses seem to be missing here. I think you meant:

(-1 - 3 √(3) ) × (-1 - 3 √(3) )

and this is the square of a binomial. The resulting square is:

1 + 6√3 + 3, or 4 + 6√(3)

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3 years ago

Explain why the vertical line does not represent a linear function.

Rashid [163]

Answer:

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Step-by-step explanation:

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3 years ago

Población de alces. Se introducen cíen alces en una reserva zoológica, cada uno de un año de edad. El número N(t) de animales vi

frutty [35]

Answer:

El número de animales vivos después de 1, 5 y 10 años es 90, 60 y 35 respectivamente.

Step-by-step explanation:

Sabes que el número N(t) de animales vivos después de t años se predice mediante N(t) = 100* $0.9^{t}$

Para estimar el número de animales vivos después de, por ejemplo, 1 año debes simplemente reemplazar el tiempo t por el tiempo correspondiente, en este caso 1 año:

N(1) = 100* $0.9^{1}$

Resolviendo:

N(1) = 100* $0.9^{1}$ = 100*0.9= 90

De manera similar, podes estimar el número de animales vivos después de 5 y 10 años. Esto es, reemplazas t por 5 años:

N(5) = 100* $0.9^{5}$ = 100*0.59049= 59.049≅ 60

y t por 10 años:

N(10) = 100* $0.9^{10}$ = 100*0.3487= 34.86 ≅ 35

El número de animales vivos después de 1, 5 y 10 años es 90, 60 y 35 respectivamente.

6 0

3 years ago

Simplify the expression. Write your answer as a power. (−5/7)^8⋅(−5/7)^9

Sloan [31]

<h3>Simplify the expression. Write your answer as a power</h3>

$(\frac{-5}{7})^8 \times (\frac{-5}{7})^9 = (\frac{-5}{7})^{17}$

Solution:

Given that,

We have to simplify the expression

$(\frac{-5}{7})^8 \times (\frac{-5}{7})^9$

When multiplying two powers that have the same base, we can add the exponents

Which means,

$a^m \times a^n = a^{m+n}$

Therefore,

$(\frac{-5}{7})^8 \times (\frac{-5}{7})^9 = (\frac{-5}{7})^{8+9} \\\\(\frac{-5}{7})^8 \times (\frac{-5}{7})^9 = (\frac{-5}{7})^{17}$

Thus the given expression is written as answer with single power

7 0

3 years ago