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3 years ago

I'd appreciate it if anyone helped! :)

Mathematics

2 answers:

ra1l [238]3 years ago

6 0

At 0 weeks she had 75 L water remaining in the barrel (0, 75)

Since she used 5L each week, then at 15 weeks she had 0 L remaining (15, 0).

Answer: Top Right graph

Illusion [34]3 years ago

3 0

Answer:

Graph given on the top right side.

Step-by-step explanation:

Nina used 5 L of water from her rain barrel to water her plants every week.

She did this until her rain barrel was empty.

So barrel will be empty in the time = $\frac{75}{5}=15$ weeks.

Nina started watering when rain barrel contained 75L of water.

We draw a graph with water remaining on y-axis and weeks to get the barrel empty on x-axis.

Line representing this process will start from a point (0, 75) on y-axis and will end at x-axis at the point (15, 0).

Therefore, graph given on the top right side of the options is the correct answer.

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You are given that <img src="https://tex.z-dn.net/?f=sin%28A%29%20%3D%20-%5Cfrac%7B7%7D%7B25%7D" id="TexFormula1" title="sin(A)

Elza [17]

Answer:

- $\frac{204}{325}$

Step-by-step explanation:

Using the addition formula for cosine

cos(A + B) = cosAcosB - sinAsinB

Given sin A = - $\frac{7}{25}$ = $\frac{opposite}{hypotenuse}$ and in fourth quadrant, then

the triangle is a 7 - 24- 25 right triangle with adjacent side 24

In fourth quadrant cosine ratio is positive , thus

cos A = $\frac{adjacent}{hypotenuse}$ = $\frac{24}{25}$

------------------------------------------------------------------

Given sin B = - $\frac{12}{13}$ = $\frac{opposite}{hypotenuse}$ and in third quadrant, then

the triangle is a 5- 12- 13 right triangle with adjacent side 5

In third quadrant cosine ratio is negative, thus

cos B = $\frac{adjacent}{hypotenuse}$ = - $\frac{5}{13}$

Thus

cosAcosB - sinAsinB

= ( $\frac{24}{25}$ × - $\frac{5}{13}$ ) - (- $\frac{7}{25}$ × - $\frac{12}{13}$ )

= - $\frac{120}{325}$ - $\frac{84}{325}$

= - $\frac{204}{325}$

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3 years ago

Felipe set his watch 2 seconds behind, and it falls behind another 1 second every day. How many days has it been since Felipe la

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Answer:

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3 years ago

What is 2 times (-2a + 7) equal to?

Yuri [45]

Answer:

-4a + 14

Step-by-step explanation:

Solve by doing distribution.

2 x -2a = -4a

2 x 7 = 14

Input the numbers to get : -4a + 14

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Answer:

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Step-by-step explanation:

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4 years ago

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Trials in an experiment with a polygraph include results that include cases of wrong results and cases of correct results. Use a

hram777 [196]

Answer and Step-by-step explanation:

This is a complete question

Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results and 74 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the nullhypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.

The computation is shown below:

The null and alternative hypothesis is

$H_0 : p = 0.80$