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AfilCa [17]
3 years ago
15

-2/3 divided by (-15)

Mathematics
1 answer:
Travka [436]3 years ago
6 0
2 over 45 just so that you know
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How to solve this?<br>\int \frac { 4 - 3 x ^ { 2 } } { ( 3 x ^ { 2 } + 4 ) ^ { 2 } } d x​
ivanzaharov [21]

\Large \mathbb{SOLUTION:}

\begin{array}{l} \displaystyle \int \dfrac{4 - 3x^2}{(3x^2 + 4)^2} dx \\ \\ = \displaystyle \int \dfrac{4 - 3x^2}{x^2\left(3x + \dfrac{4}{x}\right)^2} dx \\ \\ = \displaystyle \int \dfrac{\dfrac{4}{x^2} - 3}{\left(3x + \dfrac{4}{x}\right)^2} dx \\ \\ \text{Let }u = 3x + \dfrac{4}{x} \implies du = \left(3 - \dfrac{4}{x^2}\right)\ dx \\ \\ \text{So the integral becomes}  \\ \\ = \displaystyle -\int \dfrac{du}{u^2} \\ \\ = -\dfrac{u^{-2 + 1}}{-2 + 1} + C \\ \\ = \dfrac{1}{u} + C \\ \\ = \dfrac{1}{3x + \dfrac{4}{x}} + C \\ \\ = \boxed{\dfrac{x}{3x^2 + 4} + C}\end{array}

5 0
3 years ago
I really need help plzzzzz
Sonbull [250]

ANSWER

D. rotation, translation, reflection

EXPLANATION

Dilation is not a rigid motion.

When the triangle is dilated the image triangle may become bigger ( magnification) or smaller (reduction).

When the scale factor is negative 1, a congruent triangle is obtained.

Hence dilation will not always produce a congruent triangle.

Rotation, reflection and translation are rigid motions and hence will always produce a congruent triangle.

8 0
3 years ago
Your hotel has 200 rooms in Dallas. There is a sport event coming up, and fans either book a rooms months before or wait for the
dedylja [7]

Answer:

89 rooms should be set for early book customer

Step-by-step explanation:

According to the given data we have the following:

OVERAGE(CO) = 200

SHORTAGE(CS) = 500

In order to calculate how many rooms should be set for early book customer we would have to use the following formula:

OPTIMAL BOOKING = MEAN + (Z * STDEV)

MEAN = 75

STDEV = 25

SERVICE LEVEL= CS / (CS + CO) = 500 / (500 + 200) = 0.7143

Z VALUE FOR 0.7143 = 0.57

OPTIMAL BOOKING =  75 + (0.57 * 25) = 89

89 rooms should be set for early book customer

3 0
3 years ago
An equation is shown below:
meriva
<span>4(2x - 5) = 4

8x - 20 = 4

8x = 4 + 20

8x = 24

x = </span>\frac{24}{8}

x = 3

Part A:

This equation has only one solution. {Working shown above}

Part B:

The solution is x = 3. {Working shown above}
7 0
3 years ago
I need an answer for number 5
notka56 [123]

Answer:

Step-by-step explanation:

Go

7 0
3 years ago
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