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DerKrebs [107]
3 years ago
6

Find the derivative of g(t)=3t^2+2t at t=-1 algebraically

Mathematics
1 answer:
levacccp [35]3 years ago
3 0

Answer:

8.

Step-by-step explanation:

If y = ax^n then the derivative y' = anx^(n-1)

g(t) = 3t^2 + 2t so  the derivative g'(t)

2*3 t^(2-1) + 2t(1-1)

= 6t + 2

At t =1 its value is  6 + 2 = 8.

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Answer:

GD = 6 in.

Step-by-step explanation:

Because the lines are medians  AG = 2GD.

So x + 5 = 2(x - 1)

x + 5 = 2x - 2

5 + 2 = 2x - x

7 = x.

Therefore GD = 7 - 1 = 6 (answer).

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4 years ago
Which represents the numbers in order from least to greatest?<br> 9%, 9/10, 9. -9/1
DaniilM [7]

Answer:

9% 9. -9/1 9/1

Step-by-step explanation:

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3 years ago
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Vsevolod [243]
23-8= 15 degrees it increased by 15 degrees
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3 years ago
Tara is using matrix multiplication to find image points of a translation. She is translating the image 2 units left and 4 units
Ahat [919]
Assuming that this is just on a 2-D coordinate plane, we must convert the expressions on to a 3-D plane since translation cannot be done on a 2-D plane. This is done by adding a dummy coordinate that does not change. Let us use "1" for this case.

Matrix:
| 0 0 -2 |(x) = (x - 2)
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7 0
3 years ago
an outlier may be defined as a data point that is more than 1.5 times the interquartile range below the lower quartile or is mor
Ira Lisetskai [31]

Supposing a normal distribution, we find that:

The diameter of the smallest tree that is an outlier is of 16.36 inches.

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

We suppose that tree diameters are normally distributed with <u>mean 8.8 inches and standard deviation 2.8 inches.</u>

<u />

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • The Z-score measures how many standard deviations the measure is from the mean.
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.<u> </u>

<u />

In this problem:

  • Mean of 8.8 inches, thus \mu = 8.8.
  • Standard deviation of 2.8 inches, thus \sigma = 2.8.

<u />

The interquartile range(IQR) is the difference between the 75th and the 25th percentile.

<u />

25th percentile:

  • X when Z has a p-value of 0.25, so X when Z = -0.675.

Z = \frac{X - \mu}{\sigma}

-0.675 = \frac{X - 8.8}{2.8}

X - 8.8 = -0.675(2.8)

X = 6.91

75th percentile:

  • X when Z has a p-value of 0.75, so X when Z = 0.675.

Z = \frac{X - \mu}{\sigma}

0.675 = \frac{X - 8.8}{2.8}

X - 8.8 = 0.675(2.8)

X = 10.69

The IQR is:

IQR = 10.69 - 6.91 = 3.78

What is the diameter, in inches, of the smallest tree that is an outlier?

  • The diameter is <u>1.5IQR above the 75th percentile</u>, thus:

10.69 + 1.5(3.78) = 16.36

The diameter of the smallest tree that is an outlier is of 16.36 inches.

<u />

A similar problem is given at brainly.com/question/15683591

3 0
2 years ago
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