3 friends are camping in the woods, Bert, Ernie and Trevor. they each have their own tent and the tents are set up in a triangle. Bert and Ernie are 10 m apart. The angle formed at Bert is 30 degrees. The angle formed at trevor is 105 degrees. how far apart are Ernie and Trevor?

Answer:

the derivative of given function is

[tex]cos(cos^2 x )(-sin 2 x)[/tex]

Step-by-step explanation:

Step :-

using chain rule formula [tex]\frac{d y}{d x} = \frac{d y}{d u} X\frac{d u}{d x}[/tex]

let [tex]Y = sin(cos^2 x)[/tex]  ...........(1)

[tex]\frac{d(sin x)}{d x} = cos x[/tex]

Differentiating equation (1) with respective to x,we get

[tex]\frac{d y}{d x} = cos(cos^2 x) \frac{d}{d x} (cos^2 x)[/tex]........(2)

we will use again formula

[tex]\frac{d(cos x)}{d x} = -sin x[/tex]

[tex]\frac{d (x^{2} )}{d x} =2 x[/tex]

From (2) equation we will get solution is

[tex]\frac{d y}{d x} = cos (cos^2 x) (2 cos x (\frac{d(cos x)}{dx} )[/tex]  ........(3)

again simplification the equation (3) we will get

[tex]\frac{d y}{d x} = cos(cos^2 x)(2 cos x(-sin x))[/tex] ........(4)

by using trigonometry formula

[tex]2 sin x cos x = sin2x[/tex]

now the equation (4) we get final solution is

[tex]\frac{d y}{d x} = cos(cos^2 x)(- sin2x)[/tex]

Final answer:

While a correlation of 0.67 suggests a positive relationship between loud music and poor hearing, it does not confirm causation. Many factors contribute to hearing loss, and while loud music is a significant risk factor for noise-induced hearing loss, one cannot definitively conclude it causes poor hearing without considering other variables.

Explanation:

The correlation coefficient of 0.67 between poor hearing and loud music indicates a positive and moderate relationship between the two variables, suggesting that people who listen to loud music tend to have poorer hearing. However, correlation does not imply causation. While loud music can be one of the factors contributing to poor hearing, it is important to remember that other factors can also lead to hearing loss, such as age, genetics, infections, and other environmental noises. Therefore, while the correlation is significant, we cannot conclude with certainty that poor hearing is exclusively caused by listening to loud music.

Noise-induced hearing loss can indeed happen from prolonged exposure to sounds of high intensity. For example, listening to music through earbuds at maximum volume, which can be around 100-105 decibels, increases the risk of hearing loss and can cause noise-induced hearing loss after 15 minutes of exposure. The impact of sound intensity on hearing health is undeniable, but when determining causality, a deeper investigation into other possible contributing factors must also be taken into account.

Final answer:

There are 72 possible outcomes in the experiment.

Explanation:

The total number of outcomes for the experiment can be found by multiplying the number of outcomes for each event.

For the first event, rolling a six-sided number cube, there are 6 possible outcomes (numbers 1 to 6).

For the second event, flipping a coin, there are 2 possible outcomes (heads or tails).

For the third event, rolling a six-sided number cube again, there are 6 possible outcomes.

To find the total number of outcomes, multiply the number of outcomes for each event: 6 x 2 x 6 = 72.

Therefore, there are 72 possible outcomes in this experiment.

Answer:

8 and 14

Step-by-step explanation:

X + Y = 22

X= 22-Y

4X= 7Y

4(22-Y) = 7Y

88-4Y=7Y

88= 11Y

8=Y

X= 22-Y= 22-8=14

Answer:

21/100

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

5x-7=-10x+8

5x=−10x+8+7

5x=−10x+15

5x+10x=15

15x=15

Answer: x=1

Answer:

x = 1

Step-by-step explanation:

Put the like terms to same side of equation

5x -7 = -10x +8 ➡ 5x + 10x = 8 + 7

15x = 15

x = 1

Option A

The equation of line is [tex]y = \frac{-3}{4}x - 3[/tex]

Solution:

Given that line passes through the point (4, –6) and has a slope of Negative three-fourths

Given point is (x, y) = (4, -6)

[tex]slope = \frac{-3}{4}[/tex]

The equation of line passing through point (x, y) and slope "m" is given as:

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Substitute (x, y) = (4, -6) and [tex]m = \frac{-3}{4}[/tex] in eqn 1

[tex]-6 = \frac{-3}{4} \times 4 + c\\\\-6 = -3 + c\\\\c = -6 + 3\\\\c = -3[/tex]

The required equation of line is given as:

[tex]\text{ Substitute } m = \frac{-3}{4} \text{ and } c = -3 \text{ in eqn 1 }[/tex]

[tex]y = \frac{-3}{4}x - 3[/tex]

Thus the equation of line is found

Answer:

the answer is A

Step-by-step explanation:

Hope this helps!

Answer:

80%

Step-by-step explanation:

84/105=0.8

0.8=80%

Answer:

The answer is 80 percent

The value of function g (4) will be 31.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

F(x) is an even function.

So, F(-x) = F(x)

And, f(-6) = 8

Now,

The function is,

g(x) = 4 f(x+2) - 1

Find the value of g(4), substitute x = 4 in above equation as;

⇒ g (4) = 4 f(4 + 2) - 1

⇒ g (4) = 4 f (6) - 1

Since, F(x) is an even function.

So, F(-8) = F(8)

Hence, We get;

⇒ g (4) = 4 × 8 - 1

⇒ g (4) = 32 - 1

⇒ g (4) = 31

Thus, The value of function g (4) will be 31.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ2

[tex]\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{11})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{9}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{11}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{2}}}\implies \cfrac{-2}{5}[/tex]

Answer:

it should be -2/5 if you're looking for the slope

Inequality that represents the graph

[tex]y>\:-\frac{3}{2}x-2[/tex]

Option A

Explanation :

Given the graph of a linear inequality

Lets frame the linear equation of the dotted line first

Slope intercept form of linear equation is y=mx+b

where m is the slope and b is the y intercept

In the graph y intercept is -2. So value of b=-2

Now find out slope m using any two point on the dotted line

Lets pick (0,-2) and (-2,1)

slope formula

[tex]\frac{y_2-y_2}{x_2-x_1}[/tex]

Substitute the values of two points and find out slope

[tex]slope =\frac{y_2-y_2}{x_2-x_1}=\frac{1+2}{-2-0}=-\frac{3}{2}[/tex]

Now replace the values in equation  y=mx+b

[tex]y=-\frac{3}{2} x-2[/tex]

In the graph we have dotted line so we use < or >

Lets use test point (0,0) origin.

x=0  and y=0

[tex]y=-\frac{3}{2} x-2\\0=-\frac{3}{2} (0)-2\\0=-2\\0>-2\\[/tex]

So the inequality becomes

[tex]y>-\frac{3}{2} x-2[/tex]

Learn more :  brainly.com/question/5529505

Answer:

B. 3/4

Step-by-step explanation:

Care with these types of graphs as the values are 2 rather than one on each axis.

Away from that, rate of change can also be named "slope" in which how many units up or down the y-value goes per x value. To find the slope or "rate of change" you want to use [tex]\frac{RISE}{RUN}[/tex] .

To find the rise over run you want to go up from any point where the x and y value line up to another. The origin or (0,0) can be used to do this. Look at point (8,6) to see this. Rise from the origin 6 times and run to the right 8 times. Rise OVER run so the rate of change can be shown as 6/8 which can be simplified to 3/4.

Answer: 2 and 4

Step-by-step explanation: the quick way is by dividing all the answer options

Answer:

31 1/3

Step-by-step explanation:

3x-10=84, given

3x=94, add 10 to both sides

x = 31 1/3, divide both by three

Answer:

3x = 84+10

3x = 94

x = 94/3

x = 31.33

Answer:

-1y+6

Step-by-step explanation:

Here’s why:

Combine like terms. -8y and 7y added together becomes -1y giving the first term.

The second term is from subtracting 12 and 6.

Hope this helps!

Answer:

-y + 6

Step-by-step explanation:

7y + 12 - 6 + (- 8y) =

7y + 12 - 6 - 8y =

7y - 8y = -y

12 - 6 = 6

- y + 6

Answer:

0.6, 0.7, 0.8, 0.9

Step-by-step explanation:

0.5 < x < 1

Answer:

It could be 0.5, 0.6, 0.7, 0.8, 0.9 depending if it is in the tenths

Answer:

9x+5=7

9x=2

x=2/9

Answer: c. box and whisker plot

Step-by-step explanation:

the box and whisker plot shows you the median and lays out the data so you would know how spread how your numbers are

The most appropriate graph is box-and-whisker plot.

The left and right sides of the box are the lower and upper quartiles. The box covers the interquartile interval, where 50% of the data is found. The vertical line that split the box in two is the median.

Given:

A teacher wants to create a graph of the students' scores on the final exam and see what the distribution looks like.

As, we know the teacher wants to know median of the scores is on the exam as well as how spread out the scores are.

To find the median from the graph the best graph is  box-and-whisker plot because it shows the quartile and median very accurate.

Learn more about box-and-whisker plot here:

https://brainly.com/question/11859288

#SPJ2

Answer:

-0.4 if  the numerator is -2 and -2.5 if the numerator is 5

Step-by-step explanation:

Answer:

7xp=c

Step-by-step explanation:

since you have to multiply p by 7. to get the answer is c. Take for example

7 x 3 =21

p=3

c=21

Any measurement that can be used to measure area will have the word square or squared somewhere in the term, because you multiply two values to get the area. So the answers would be inches squared, and square yards. 

Simply meters and centimeters would be used for length; cubic feet would be used for volume because three values have to be used to find an object's volume.

Hope This Helps! :)

QuezoMartiinez :)

Answer:

Square centimeters and Square yards

Step-by-step explanation:

the area of any object has to be squared. for volume it would need to be cubed

Answer:

170 heart beat per minute.

Step-by-step explanation:

While exercising, a person’s recommended target heart rate is a function of age. The recommended number of beats per minute, y, is given by the function y = f(x) = − 0.85x + 187 where x represents a person’s age in years.

So, if my age is 21 years i.e. x = 21, then the number of recommended heart beats per minute for my age will be

y = f(21) = - 0.85(21) + 187 = - 17.85 + 187 = 169.15 ≈ 170. (Answer)

{Taking the larger integer value}

Answer:

12

Step-by-step explanation:

Answer:

(x+5) (x+7)

Step-by-step explanation:

Answer:

[tex](5m - \frac{1}{5})^{3}[/tex]

Step-by-step explanation:

We have to write the following expression as a power of a binomial.

The expression is [tex]125m^{3} - 15m^{2} + \frac{3}{5}m - \frac{1}{125}[/tex].

Now, we have to rearrange the given expression.

[tex]125m^{3} - 15m^{2} + \frac{3}{5}m - \frac{1}{125}[/tex]

= [tex](5m)^{3} - 3(5m)^{2}(\frac{1}{5}) + 3(5m)(\frac{1}{5})^{2} - (\frac{1}{5})^{3}[/tex]

= [tex](5m - \frac{1}{5})^{3}[/tex] (Answer)

Since we know the identity as (a - b)³  = a³ - 3a²b + 3ab² - b³.

Answer:

Step-by-step explanation:

0.06

you can solve it one of 2 ways

first : put 6 over 100 and make it a fraction so 6/100 then convert it to a decimal depending on how your teacher wants it

secondly: divide 6 by 100

Answer:

105

Step-by-step explanation:

29 more than 76 can be written as:

76 + 29, which equals 105

Answer:

351.7227778°

Step-by-step explanation:

The conversion of 351°41’142” into decimal degrees involves expressing minutes and seconds as fractions of a degree. This results in approximately 351.7227 degrees.

To convert degrees, minutes, and seconds to decimal degrees, we express the minutes and seconds as fractions of a degree. Degrees are already expressed in decimal form, so 351° remains 351. However, 1 minute equals 1/60 of a degree, while 1 second equals 1/3600 of a degree. So, to convert 41 minutes into decimal degrees, we divide 41 by 60, which equals approximately 0.6833. And to convert 142 seconds into decimal degrees, we divide 142 by 3600, which equals approximately 0.0394. Then we add these values together with the original degrees to get the final answer: 351 + 0.6833 + 0.0394 equals approximately

351.7227 degrees

.

https://brainly.com/question/30775495

#SPJ12