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Marat540 [252]
3 years ago
7

The age of a car and the value of the car O Positive Correlation O Negative correlation

Mathematics
1 answer:
alex41 [277]3 years ago
5 0
ANSWER:

Positive Correlation

EXPLANATION:
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Find y as a function of x if y"' + 9y' = 0, y(0) = 6, y'(0) = 9, y"(0) = 18. y(x) =
Andreas93 [3]

Answer:

y(x) = 8 - 2cos 3x + 3sin 3x

Step-by-step explanation:

Given the equation:

y''' + 9y' = 0

The characteristic equation :

⇒r³ + 9r =0

Solving for r, we get r = 0 and r = ± 3i

The general equation for such equation is :

<u>y = C₁ + C₂cos 3x + C₃sin 3x</u>

Given:

y(0) = 6

Thus, Applying in the above equation, we get

<u>6 = C₁ + C₂ .......................................................1</u>

Differentiating y , we get:

<u>y' = -3C₂sin 3x + 3C₃cos 3x</u>

Given:

y'(0) = 9

Thus, Applying in the above equation, we get

<u>9 = 3C</u><u>₃</u>

or,

<u>C</u><u>₃</u><u> = 3</u>

Differentiating y' , we get:

<u>y'' = -9C₂cos 3x - 9C₃sin 3x</u>

Given:

y''(0) = 18

Thus, Applying in the above equation, we get

<u>18 = -9C</u><u>₂</u>

or,

<u>C</u><u>₂</u><u> = -2</u>

Applying in equation 1 , we get:

<u>C₁ = 8</u>

Thus,

<u>y(x) = 8 - 2cos 3x + 3sin 3x</u>

4 0
3 years ago
Without using a calculator determine the number of real zeros of the function f(x) = x^3 + 4x^2 + x -6
hodyreva [135]
Try this:
x³+4x²+x-6=0
1) To re-write the equation into form:
1*x³+4*x²+1*x-6=0, the note 1+4+1=6, it means x=1
2) to re-write the equation into form:
(x-1)(x²+5x+6)=0
(x-1)(x+2)(x+3)=0
3)
\left[\begin{array}{ccc}x-1=0\\x+2=0\\x+3=0\end{array}\right \ \ \textless \ =\ \textgreater \   \left[\begin{array}{ccc}x=1\\x=-2\\x=-3\end{array}\right
Answer: -3;-2;1.
8 0
3 years ago
Which expression is equal to:
sertanlavr [38]

Answer: C

Step-by-step explanation: since the x’s are common terms, you just add them together

4 0
3 years ago
Read 2 more answers
Le Saveu The UL health centre is giving a Pfizer vaccine to the surrounding community members of the 100 people who were vaccina
enot [183]

Using confidence interval concepts, it is found that the incorrect statement is given by:

B. The population proportion is 0.80.

In a sample of n people with a proportion of \pi, and a confidence level of 1-\alpha, we the <u>confidence interval for the proportion</u> is:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which  z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

80 developed immunity out of 100, thus, the sample proportion is:

\pi = \frac{80}{100} = 0.8

<em>Option A </em>is correct.

The standard error is:

s = \sqrt{\frac{\pi(1-\pi)}{n}}

Considering n = 100

s = \sqrt{\frac{0.8(0.2)}{100}} = 0.04

Thus,<em> statement E</em> is correct.

<u>90% confidence level,</u> thus the critical value is the value of z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so z = 1.645, which means that <em>statement D</em> is correct.

The margin of error is:

M = zs = 1.645(0.04) = 0.0658

Thus, <em>statement C</em> is correct, which leaves B as the false statement, as we have the sample proportion, and we can only estimate, not guarantee the population proportion.

A similar problem is gien at brainly.com/question/16807970

5 0
3 years ago
Please helppppppppppppp
Klio2033 [76]
2+2+1 3/4+1 1/4+1+1=9 . Hope this helps :)
3 0
3 years ago
Read 2 more answers
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