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4 years ago

13

How many configurations are there if we roll a die (6-face) four times?

1 answer:

algol [13]4 years ago

4 0

Each time there are 6 possible outcomes.

If you roll four times, the number of possible outcomes would be 6^4, or 1296.

Final answer: 1296 configurations.

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Write a equation of a hyperbola given the foci and the asymptotes

professor190 [17]

Solution:

The standard equation of a hyperbola is expressed as

$\begin{gathered} \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\text{ \lparen parallel to the x-axis\rparen} \\ \frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ \lparen parallel to the y-axis\rparen} \end{gathered}$

Given that the hyperbola has its foci at (0,-15) and (0, 15), this implies that the hyperbola is parallel to the y-axis.

Thus, the equation will be expressed in the form:

$\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ ----equation 1}$

The asymptote of n hyperbola is expressed as

$y=\pm\frac{a}{b}(x-h)+k$

Given that the asymptotes are

$y=\frac{3}{4}x\text{ and y=-}\frac{3}{4}x$

This implies that

$a=3,\text{ and b=4}$

To evaluate the value of h and k,

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3 0

1 year ago

Aaron needs a total of $410 to buy a new bicycle. He has $35 saved. He earns $15 each week delivering newspapers. How many weeks

Ostrovityanka [42]

35+15x=410
410-35=375
375/15=25
He will need to work 25 weeks.

3 0

3 years ago

Find the simplified form of the expression. Give your answer in scientific notation. (8x10^4)(9x10^-8)

Orlov [11]

<span>you just have to multiply the bases. 3 x 9 = ? add the exponents of the base 10 10^8(10^7)= 10^(8+7)</span>

6 0

3 years ago

Read 2 more answers

What is the simplified version for these 4 ?

VladimirAG [237]

1. -3x + -6
2. -3x + 9
3. 2x - 6
4. -2x + 6

here u go

3 0

3 years ago

4 cups of pineapple juice, 8 cups of orange juice and 12 cups of Sprite makes 18 servings. How many cups of pineapple juice will

Ronch [10]

Answer:

24 cups.

Step-by-step explanation:

18 serving requires 4 cups of Pine apple

for 108 serving, 108/18 = 6 times.

Hence all your ingredients will be multiplied by 6 times to prepare 108 servings.

6 0

3 years ago