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3 years ago

Simplify. -9 -5 -7 х Y Z 2 6 3 X Y Z

Mathematics

1 answer:

krok68 [10]3 years ago

7 0

Answer:

$= {x}^{ - 11} {y}^{ - 11} {z}^{ - 10}$

Step-by-step explanation:

$= \frac{ {x}^{ - 9} {y}^{ - 5} {z}^{ - 7} }{ {x}^{2} {y}^{6} {z}^{3} } \\ = {x}^{ - 9 - 2} {y}^{ - 5 - 6} {z}^{ - 7 - 3} \\ = {x}^{ - 11} {y}^{ - 11} {z}^{ - 10}$

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Jimmy owns a small engine repair business. The revenue, in dollars, can be modeled by the equation y = 420 + 72x, where x is the

kozerog [31]

Answer:

5 hours

Step-by-step explanation:

Given

$y = 420 + 72x$ --- Revenue

$y = 24x^2 + 180$ --- Overhead cost

Required

Determine the hours for break even

To do this, we simply equate both expressions as follows:

$24x^2 + 180 = 420 + 72x$

Collect Like Terms

$24x^2 - 72x + 180 - 420 = 0$

$24x^2 - 72x -240 = 0$

Divide through 24

$x^2 - 3x - 10 = 0$

Expand:

$x^2 -5x + 2x -10 = 0$

Factorize:

$x(x -5) + 2(x -5) = 0$

$(x + 2)(x -5) = 0$

$x + 2 = 0\ or\ x - 5 = 0$

$x = -2\ or\ x = 5$

But x can't be negative because it represents time.

<em>So, x = 5 hours</em>

3 0

3 years ago

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serious [3.7K]

Answer:

Yellow = 18 spools of ribbon

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4 0

3 years ago

Jack likes to go fishing. While waiting for the fishes to bite, he formulates the following model for the process: fishes bite a

gogolik [260]

Answer:

a) 0.122

b) 3.35 × 10⁻⁴

c) 0.1071

Step-by-step explanation:

Here we have the Poisson process given by

$P(N(t) = k) = \frac{e^{-\lambda t} (\lambda t)^k }{k!}$

Where:

λ = Rate = 4 bites/hour and

t = Length of time that is

Mean = λt

Where k = 6 fishes bites and t = 2 hours we have

$P(N(2) = 6) = \frac{e^{-4 \times 2} (4 \times 2)^6 }{6!} = 0.122$

b) The probability that he fails to catch any fishes during the first two hours is the probability t that he catches 0 fish as follows

$P(N(2) = 0) = \frac{e^{-4 \times 2} (4 \times 2)^0 }{0!} = 3.35 \times 10^{-4}$

$P(N(2) = 6) = 0.122$

For 1 fish caught in two times we have first time no fish and second time he caches a fish gives

0.122×(1-0.122) = 0.1071

4 0

3 years ago

The product of the square of a number and 5

bearhunter [10]

Let the number be x, the square of x is x^2, then
The product of the square of x and 5 is 5x^2.

5 0

4 years ago

((10 + 5) - (24 ÷ 8 ) ^2) + 2^2

Ann [662]

((10+5)-(24/8)^2)+2^2
(15-3)^2+2^2
12^2+2^2
144+4
148

Final answer: 148
Follow the order dictated by parentheses. When none are apparent, use the order of operations to decide what to do next.

6 0

3 years ago