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daser333 [38]
3 years ago
12

Find p(-2), for p(t) = 2 + t + 2t3 – t2​

Mathematics
1 answer:
Greeley [361]3 years ago
8 0

Answer:

-14

Step-by-step explanation:

this is if you meant 2 + t + 2 * t^3-t

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If i clock out at 11:53 and i have 30 Minutes what time do i get in?
lara [203]

Answer:

you get in at 11:23

Step-by-step explanation:

53-30=30

so 11:23

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3 years ago
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PLEASE SOMEONE HELP ILL GIVE BRAINLIEST!
grin007 [14]

Answer:

Part A

The rotation of the point (x, y) 180° about the origin gives the point (-x, -y)

Therefore, we have the points, ΔLMN, L(1, 1), and M(2, 2), and N(3, 3)

The coordinates of the vertices of the image, ΔL'M'N' are L'(-1, -1), and M'(-2, -2), and N'(-3, -3)

Please find attached the graph of triangle ΔLMN and ΔL'M'N'

Part B

The lines drawn through L and L' and through M and M' are colinear

Part C

A line is defined by two points, such as <em>L </em>and <em>M.</em> Rotation of a line through 180° about the origin will give an image location on the same path as the extension of the original line.

The third point, <em>N</em>, however, defines a plane, and the rotation of a plane by 180° will give an image which is turned upside down with regards to the preimage

Therefore, a trough in the preimage becomes a peak in the image and the lines drawn through N and N' crosses the colinear lines drawn throgh M and M' and L and L'

Step-by-step explanation:

5 0
3 years ago
The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x)= 2/x^3 for x
natulia [17]

Answer:

a) 0.96

b) 0.016

c) 0.018

d) 0.982

e) x = 2

Step-by-step explanation:

We are given with the Probability density function f(x)= 2/x^3 where x > 1.

<em>Firstly we will calculate the general probability that of P(a < X < b) </em>

       P(a < X < b) =  \int_{a}^{b} \frac{2}{x^{3}} dx = 2\int_{a}^{b} x^{-3} dx

                            = 2[ \frac{x^{-3+1} }{-3+1}]^{b}_a   dx    { Because \int_{a}^{b} x^{n} dx = [ \frac{x^{n+1} }{n+1}]^{b}_a }

                            = 2[ \frac{x^{-2} }{-2}]^{b}_a = \frac{2}{-2} [ x^{-2} ]^{b}_a

                            = -1 [ b^{-2} - a^{-2}  ] = \frac{1}{a^{2} } - \frac{1}{b^{2} }

a) Now P(X < 5) = P(1 < X < 5)  {because x > 1 }

     Comparing with general probability we get,

     P(1 < X < 5) = \frac{1}{1^{2} } - \frac{1}{5^{2} } = 1 - \frac{1}{25} = 0.96 .

b) P(X > 8) = P(8 < X < ∞) = 1/8^{2} - 1/∞ = 1/64 - 0 = 0.016

c) P(6 < X < 10) = \frac{1}{6^{2} } - \frac{1}{10^{2} } = \frac{1}{36} - \frac{1}{100 } = 0.018 .

d) P(x < 6 or X > 10) = P(1 < X < 6) + P(10 < X < ∞)

                                = (\frac{1}{1^{2} } - \frac{1}{6^{2} }) + (1/10^{2} - 1/∞) = 1 - 1/36 + 1/100 + 0 = 0.982

e) We have to find x such that P(X < x) = 0.75 ;

               ⇒  P(1 < X < x) = 0.75

               ⇒  \frac{1}{1^{2} } - \frac{1}{x^{2} } = 0.75

               ⇒  \frac{1} {x^{2} } = 1 - 0.75 = 0.25

               ⇒  x^{2} = \frac{1}{0.25}   ⇒ x^{2} = 4 ⇒ x = 2  

Therefore, value of x such that P(X < x) = 0.75 is 2.

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2 years ago
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telo118 [61]

answer 143.00 Step-by-step explanation:

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3 years ago
Evaluate the expression.<br> 7.4+6 - 12:4<br><br><br> Plz help me
juin [17]

Answer:

7 . 4 + 6 - 12 : 4 = 31

Step-by-step explanation:

* To solve this problem lets revise the order of operations in

  mathematics

- The operations are:

# Addition

# Subtraction

# Multiplication

# Division

# Exponentiation

# Grouping ⇒ Parenthesis or brackets

- The order of these operations is:

# Parenthesis

# Exponents

# Multiplication and Division which comes first from left to right

# Addition and Subtraction which comes first from left to right

- There is a word made from the first letter of each operation

  PEMDAS to remember the order of operations

* Lets solve the problem

∵ 7 . 4 + 6 - 12 : 4

∵ The (.) means multiply the numbers

∵ The symbol (:) means divided the numbers

∴ At first multiply 7 by 4 and divide 12 by 4

∴ (7 × 4) + 6 - (12 ÷ 4)

∴ 28 + 6 - 3

∵ Addition comes before subtraction from the left

∴ (28 + 6) - 3

∴ 34 - 3 = 31

∴ 7 . 4 + 6 - 12 : 4 = 31

4 0
3 years ago
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