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kap26 [50]
3 years ago
7

Need this worked out please so I can understand it

Mathematics
1 answer:
Afina-wow [57]3 years ago
3 0

9514 1404 393

Answer:

  a)  12

  b)  y +5 = 12(x +2)

Step-by-step explanation:

The slope of a function is its derivative.

a) The slope of y = x^3 +3 at any point is y' = 3x^2. So, at the point where x=-2, the slope of the curve is ...

  m = 3(-2)^2 = 12 . . . . slope at (-2, -5)

__

b) The equation of the tangent line is most easily written using the point-slope form of the equation of a line.

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y +5 = 12(x +2) . . . . line with slope 12 through point (-2, -5)

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The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This dist
alexira [117]
<h3>Answer:   83.85%</h3>

This value is approximate.

==========================================================

Explanation:

Let's compute the z score for x = 40

z = (x-mu)/sigma

z = (40-47)/7

z = -1

We're exactly one standard deviation below the mean.

Repeat these steps for x = 68

z = (x-mu)/sigma

z = (68-47)/7

z = 3

This score is exactly three standard deviations above the mean.

Now refer to the Empirical Rule chart below. We'll add up the percentages that are between z = -1 and z = 3. This consists of the two pink regions (each 34%), the right blue region (13.5%) and the right green region (2.35%). These percentages are approximate.

34+34+13.5+2.35 = 83.85

<u>Roughly 83.85%</u> of the one-mile roadways have between 40 and 68 potholes.

5 0
2 years ago
Hacksaw’s Boats of St. Lucia takes tourists on a daily whale/dolphinwatch cruise. Their brochure claims an 80% chance of siting
Fittoniya [83]

Answer:

The probability you see a dolphin or a whale on both days is 0.64

Step-by-step explanation:

Consider the provided information.

It is given that the brochure claims an 80% chance of siting a dolphin or a whale.

The provided claims can be written as: 80% or 0.80

Let say first day you see a dolphin or a whale and same happen on the next day.

Thus, the probability is:

0.80 × 0.80 = 0.64

Probability of see them on both days is 0.64

Hence, the probability you see a dolphin or a whale on both days is 0.64

5 0
3 years ago
A cylindrical well has a radius of 8 feet and a height of 13 feet what is the volume of the well use 3.14 for pie round your ans
vitfil [10]
To find the volume of a cylinder, you use this formula:
V = \pir^{2}h

Plug in your numbers,
V = (3.14 * 8^{2}) * 13

Exponents:
V = (3.14 * 64) * 13

Parentheses:
V = 200.96 * 13

Multiply:
V = 2612.48ft^{2}
8 0
3 years ago
Find the simple interest and amount when principal = Rs. 6000, rate = 6% per annum and time = 4 years
Alinara [238K]

Given:

Principal = Rs. 6000

Rate of simple interest = 6% per annum.

Time = 4 years

To find:

The simple interest and amount.

Solution:

Formula for simple interest:

I=\dfrac{P\times r\times t}{100}

Where, P is principal, r is the rate of interest and t is the number of years.

Putting P=6000, r=6 and t=4, we get

I=\dfrac{6000\times 6\times 4}{100}

I=60\times 6\times 4

I=1440

Now,

Amount=Principal+Interest

Amount=6000+1440

Amount=7440

Therefore, the simple interest is Rs. 7440 and the amount is Rs 7440.

7 0
2 years ago
X^2+19=10 solve algebraically<br> 4x^2+3=43 solve algebraically
raketka [301]
The correct answer is B
8 0
2 years ago
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