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kompoz [17]
3 years ago
9

The volume of a rectangular prism is 12x^5-27x^3. What are the dimensions of the prism? Show all work.

Mathematics
1 answer:
Westkost [7]3 years ago
7 0

Answer:

The answers are <em>5 6 and 9</em>

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Which is greater, (1/2)⁴² or (1/2)⁴⁵? Why?​
weqwewe [10]

Answer:

1/2^42 because the 45 will be dividing it b half 3 more times

Step-by-step explanation:

8 0
3 years ago
Which sequence could be partially defined by the recursive formula f (n + 1) = f(n) + 2.5 for n ≥ 1?
Stells [14]
<span>–10, –7.5, –5, –2.5, …

Is defined by the formula because the next term can be obtained by adding 2.5 to the current one.</span>
3 0
3 years ago
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Which is the same solution a x2-16x+12 =0
Phoenix [80]

Answer:

An equation which has the same solution as the given equation is:

( x - 18 ) ( x + 2 ) + 48 = 0 ....

Step-by-step explanation:

The given expression is:

x2-16x+12

Break the constant term:

x^2-16x-36 +48=0

[x^2-16x-36] +48=0

Now break the middle term inside the brackets

(x^2-18x+2x-36)+48=0

Take the common

[x(x-18) +2(x-18)]+48=0

(x-18)(x+2)+48=0

Thus an equation which has the same solution as the given equation is:

( x - 18 ) ( x + 2 ) + 48 = 0 ....

7 0
3 years ago
Name the remainder for the quotient and describe or show how you found the remainder.
horsena [70]

Answer:

Step-by-step explanation:

The expression x^3 - x^2 - 17x -15) ÷ (x-5) shows that x+5 is one of the factor if the polynomial function. According to factor theorem, we will equate the factor to zero and find x;

x+5 = 0

x = -5

Next is to generate the remainder.

Substitute x = -5 into the polynomial function

P(x) = x^3 - x^2 - 17x -15

P(-5) = (-5)^3 - (-5)^2 - 17(-5) -15

P(-5) = -125-25+85-15

P(-5) = -150+70

P(-5) = -80

Hence the remainder is -80

5 0
4 years ago
suppose that the lifetime of a transistor is a gamma random variable x with mean of 24 weeks and standard deviation of 12 weeks.
emmainna [20.7K]

The probability that the transistor will last between 12 and 24 weeks is 0.424

X= lifetime of the transistor in weeks E(X)= 24 weeks

O,= 12 weeks

The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.

X~gamma(\alpha ,\beta)

E(X)= \alpha \beta                 \beta= 12^{2}/24=6 weeks

V(x)= \alpha \beta ^{2}                \alpha=24/6= 4

Now we can find the solutions:

The excel formula used to create Figure one is as follows:

=gammadist(X, \alpha, \beta, False)

P(12\leq X\leq 24)

P(12/6\leq G\leq 24/6)

P(2\leq G\leq 4)

P= 0.424

Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424

To learn more about probability click here:

brainly.com/question/11234923

#SPJ4

4 0
1 year ago
Read 2 more answers
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