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klemol [59]
3 years ago
7

What is the slope of the line tangent to the curve y+2=x22−2siny at the point(2,0)

Mathematics
1 answer:
Kobotan [32]3 years ago
3 0

Answer:

Step-by-step explanation:

hello :

y+2=x²−2siny

calculate y' :  y' = 2x -2y'cosy

when x= 2 and y=0   ( at the point(2,0) )   y' is the slope :

y' = 2(2)-2y'cos0   but cos0 =1

y' = 4 -2y'

3y' =4

so : y' = 4/3

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irina [24]

Using it's concept, it is found that the experimental probability that the first vehicle rented today will be a pickup truck is of 0.5 = 50%.

<h3>What is a probability?</h3>

A probability is given by the<u> number of desired outcomes divided by the number of total outcomes</u>. For an experimental probability, these number of outcomes are taken from previous trials.

In this problem, we have that out of 4 vehicles, 2 are pickup trucks, hence the experimental probability is given by:

p = 2/4 = 1/2 = 0.5.

More can be learned about probabilities at brainly.com/question/14398287

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3 0
2 years ago
Solve the inequality<br> 4b−4≤−20
devlian [24]

Answer:

b ≤ -4

Step-by-step explanation:

4b−4≤−20

4b - 4 + 4 ≤ - 20 + 4

4b ≤ -16

Divide both sides by 4

b ≤ -4

8 0
3 years ago
** WILL GIVE 15 POINTS FOR THIS ONE QUESTION + BRAINLIEST **
densk [106]

Answer:

  x + 4y ≤ 15; y ≥ 0

Step-by-step explanation:

The graph doesn't do a very good job of modeling any of the given equations. However, the equations listed above seem the best fit.

The slope of the top (left) line is negative, so the equation will be of the form ...

  x + 4y = something

When y=0, x=15, so the "something" is expected to be 15.

However, the line appears to go through points (6, 2) and (-2, 4). Both of these points are on the line x + 4y = 14.

The graph is shaded <em>below the line</em> so the values of x and y that are in the shaded area will add to <em>less than</em> 15 (or 14). Hence, the inequality will be ...

  x + 4y ≤ something . . . . . part of the 3rd answer choice

The fact that the shading does not go below y=0 means the other limit is ...

  y ≥ 0 . . . . . part of every answer choice.

5 0
3 years ago
is <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3to%20%5C%3A%20the%20%5C%3A%20power%20%5C%3A%20of%20%5C%3A%20100%7D%7B3to%20%5
Norma-Jean [14]

Remember the laws of exponents:

\frac{a^n}{a^m}=a^{n-m}

Then:

\begin{gathered} \frac{3^{100}}{3^{99}}=3^{100-99} \\ =3^1 \\ =3 \end{gathered}

Therefore:

\frac{3^{100}}{3^{99}}=3

7 0
1 year ago
The table shows the average number of pounds of trash generated per person per day in the United States from 1970 to 2010. Use t
iogann1982 [59]

Answer:

Mean = 4.11; Median = 4.44

Explanation:

Using a graphing calculator, enter the values into the first list.  Then run one-variable statistics on the list.

By hand, to find the mean, add together all of the values:

3.25+3.25+3.66+3.83+4.57+4.52+4.74+4.69+4.44 = 36.95

Divide by the total number of data points, 9:

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To find the median, order the data from least to greatest:

3.25, 3.25, 3.66, 3.83, 4.44, 4.52, 4.57, 4.69, 4.74

The middle number is 4.44.

8 0
3 years ago
Read 2 more answers
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