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3 years ago

I need help with this please help????

Mathematics

1 answer:

xenn [34]3 years ago

8 0

Answer:

D.29

Step-by-step explanation:

all you have to do is replace the x's with -2

4(-2)^2-3(-2)+7=4*4+6+7=16+6+7=22+7=29

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An airplane departs airport A at a heading of 300 (N 60 W). After traveling 320 miles, the airplane adjusts its course to 350 (N

iris [78.8K]

The shortest distance between the airport A and airport B travels by airplane which departs airport A at a heading of 300 (N 60 W) is 401 miles.

<h3>What is the law of cosine?</h3>

When the two sides of and one angle is known, then to find the third side, the law of cosine is used.

It can be given as,

$c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B$

Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.

An airplane departs airport A at a heading of 300 (N 60 W). After traveling 320 miles, the airplane adjusts its course to 350 (N 10 W) and flies an additional 112 miles to reach airport B.

The image of this problem is attached below. In this image, the two sides 112 miles and 320 miles are shown and the angle between them is 130 degrees. Thus, the value of x is,

$x=\sqrt{112^2+130^2-2(112)(130)\cos 130^o}\\x=401\rm\; miles$

Hence, the shortest distance between the airport A and airport B travels by airplane which departs airport A at a heading of 300 (N 60 W) is 401 miles.

Learn more about the law of cosine here;

brainly.com/question/4372174

#SPJ1

6 0

3 years ago

ASAP<br> can someone help me with this please

Tatiana [17]

Option 3

Step-by-step explanation:

You bring the like-terms together and then do the math

8 0

3 years ago

A new anxiety medication has been manufactured and a study is being conducted to determine whether its effectiveness depends on

Irina18 [472]

The test statistics is used to determine if the anxiety medication can happen under a null hypothesis

The test statistics that is an appropriate hypothesis test is $z =\frac{0.35 - 0.40}{\sqrt{\frac{0.35(1 - 0.35)}{60} + \frac{0.40(1 - 0.40)}{85}}}$

<h3>How to determine the test statistic</h3>

<u>40 milligrams of medication</u>

Patients = 60

Lower stress level patients = 21

The mean of this medication is:

$\bar x = \frac{x}{n}$

So, we have:

$\bar x_1 = \frac{21}{60}$

$\bar x_1 = 0.35$

<u>75 milligrams of medication</u>

Patients = 85

Lower stress level patients = 34

The mean of this medication is:

$\bar x = \frac{x}{n}$

So, we have:

$\bar x_2 = \frac{34}{85}$

$\bar x_2 =0.4$

The test statistic is then calculated as:

$z =\frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\bar x_1(1 - \bar x_1)}{n_1} + \frac{\bar x_2(1 - \bar x_2)}{n_2}}}$

The equation becomes

$z =\frac{0.35 - 0.40}{\sqrt{\frac{0.35(1 - 0.35)}{60} + \frac{0.40(1 - 0.40)}{85}}}$

Hence, the test statistics that is an appropriate hypothesis test is $z =\frac{0.35 - 0.40}{\sqrt{\frac{0.35(1 - 0.35)}{60} + \frac{0.40(1 - 0.40)}{85}}}$