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Fantom [35]
3 years ago
5

Solve by adding and subtracting rational expressions. (3x)/(5xy^(4))+(6x^(2))/(15x^(2)y) Remember to show your work!

Mathematics
1 answer:
slamgirl [31]3 years ago
4 0

Answer:

Step-by-step explanation:

\frac{3x}{5xy^{4}}+\frac{6x^{2}}{15x^{2}y}=\frac{3}{5y^{4}}+\frac{6}{15y}\\\\=\frac{3}{5y^{4}}+\frac{2}{5y}\\\\=\frac{3}{5y^{4}}+\frac{2*y^{3}}{5y*y^{3}}\\\\=\frac{3}{5y^{4}}+\frac{2y^{3}}{5y^{4}}\\\\=\frac{3+2y^{3}}{5y^{4}}

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Marta_Voda [28]

Answer:

  19.5 in²

Step-by-step explanation:

A applicable formula for the area of the smaller triangle is ...

  A = (1/2)ab·sin(C) . . . . where a, b are the given sides and C is the angle between them.

The side lengths are 3 in and 13 in, so the area is ...

  A = (1/2)(3 in)(13 in)sin(C) = (19.5 in²)sin(C)

The sine function is a maximum at C=90°, at which angle it has the value 1. So, the maximum area is that of a right triangle of sides lengths 3 and 13 inches.

The maximum area is 19.5 in².

3 0
3 years ago
A research article described a random sample of 584 smokers who tried to quit smoking by using either a nicotine patch or e-ciga
vitfil [10]

Answer:

D. Chi-square test for two-way table

Step-by-step explanation:

To test if there is an association between the percentage of people that successfully stop smoking and the method they used to do so, a random sample of 584 smokers who tried to quit smoking and was orted by the method they used to help themselves to achieve their goal (nicotine-patch or e-cigarettes). After six months, the proportion of subjects that successfully stopped smoking.

In this case, the t-test is not applicable, this statistic is to test the population mean. The variable of the study is the proportion of people that successfully stopped smoking using either method.

To apply Chi-Square tests the condition to be met is that the variable is categorizable and since the data can be organized in a 2x2 table, all expected frequencies should be >5.

The objective of the Goodness-to-fit test is to test if a population follows a certain theoretical model.

In this example, the objective is to compare the proportion of people that successfully quit smoking and the proportion of people that failed by using either method.

8 0
3 years ago
Which triangle CANNOT be drawn?
Genrish500 [490]

Answer:

I think its D. A triangle thats obtuse cant be equal because one of the angles has to be over 120°.

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3 years ago
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grandymaker [24]

Answer:

4 1/2 cups of flour, 2 1/4 cups of sugar, 1 cup of brown sugar

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1 1/2 cups flour:3/4 cup of white sugar:1/3brown sugar yields 6 servings. So multiply each amount in the ratio by 3 for 18 servings

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