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Mashcka [7]
3 years ago
12

Can't figure this out I've been stuck on it for an hour now. help please

Mathematics
1 answer:
Nadya [2.5K]3 years ago
5 0
\sqrt{4a^6b^4} =   \sqrt{2^2*(a^3)^2*(b^2)^2} =  2a^3b^2
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A baseball diamond is a square with side 90 feet. A batter hits the ball and runs toward first base with a speed of 24 ft/sec. A
sweet [91]

9514 1404 393

Answer:

  10.73 ft/s

Step-by-step explanation:

When the runner is halfway to first base, the triangle formed by his position and the first and second bases is a right triangle with legs of 45 ft and 90 ft. The angle between the runner's direction and the line from his position to 2nd base is ...

  angle = arctan(90/45) ≈ 63.43°

The "speed made good" in the direction of 2nd base is the product of the cosine of this angle and the runner's speed toward first.

  speed toward 2nd = cos(63.43°)×(24 ft/s) ≈ 10.73 ft/s

The rate the runner's distance to 2nd base is decreasing is 10.73 ft/sec.

6 0
2 years ago
Integrate sin²2x cos²2xdx
Masteriza [31]
\sin^2x=\dfrac{1-\cos2x}2
\cos^2x=\dfrac{1+\cos2x}2

From the identities above, you have

\sin^22x\cos^22x=\dfrac{(1-\cos4x)(1+\cos4x)}4=\dfrac{1-\cos^24x}4

Applying once more, you have

\dfrac{1-\cos^24x}4=\dfrac{1-\dfrac{1+\cos8x}2}4=\dfrac{1-\cos8x}8

So,

\displaystyle\int\sin^22x\cos^22x\,\mathrm dx=\frac18\int(1-\cos8x)\,\mathrm dx=\frac x8-\frac1{64}\sin8x+C
3 0
3 years ago
Help, very important hw!!!
kvv77 [185]

The stem-and-leaf plot for the distribution is given as follows:

  • 1| 9
  • 2| 2 2 3 5 7 7 8 8
  • 3| 0 1 1 2 3 3 4 5 5 5 7 8 9
  • 4| 0 0 1 3

b) From the plot, the correct options are given as follows:

  • A typical content is 32 calories per 100 ml.
  • The distribution is roughly symmetric.

<h3>What is a stem-and-leaf plot?</h3>

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

For this problem, the observations are given at the top in red, and using each <u>first digit as the key</u>, the stem and leaf plot is:

  • 1| 9
  • 2| 2 2 3 5 7 7 8 8
  • 3| 0 1 1 2 3 3 4 5 5 5 7 8 9
  • 4| 0 0 1 3

The mean of these observations is:

(19 + 2 x 22 + 23 + 25 + 2 x 27 + 2 x 28 + 30 + 2 x 31 + 32 + 2 x 33 + 34 + 3 x 35 + 37 + 38 + 39 + 2 x 40 + 41 + 43)/26 = 32(approximately)

The correct statements from the plot are as follows:

  • A typical content is 32 calories per 100 ml(due to the mean).
  • The distribution is roughly symmetric(13 values below the mean, 13 at or above).

More can be learned about stem-and-leaf plots at brainly.com/question/28015028

#SPJ1

8 0
1 year ago
Find the distance between (2, -75) and (10, 235).
Sphinxa [80]

Answer:

2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Consider the graph shown, which function eventually exceeds the other functions? A) y = 2x B) y = x2 C) y = 2x D) cannot be dete
nirvana33 [79]

Answer:

All of these are the same. I would say D as theya re the same.

7 0
3 years ago
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