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marusya05 [52]
2 years ago
15

a particle moves along the x-axis so that anytime t comma measured in seconds it's position is given by...​

Mathematics
1 answer:
Natali5045456 [20]2 years ago
7 0

Given the position function <em>s(t)</em>, you can get the acceleration function by differentiating <em>s</em> twice:

velocity = <em>s'(t)</em> = -5 sin(<em>t </em>) + 3 cos(3<em>t</em> )

acceleration = <em>s''(t)</em> = -5 cos(<em>t</em> ) - 9 sin(3<em>t</em> )

Then when <em>t</em> = <em>π</em>, the particle's acceleration is

<em>s''(π)</em> = -5 cos(<em>π</em>) - 9 sin(3<em>π</em>)

… = -5 • (-1) - 9 • 0 = 5

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Analyze the data represented in the table and select the appropriate model
Inessa05 [86]

Answer: Option B, a linear relation.

Step-by-step explanation:

Let's analyze the points in the data:

the first 3 pairs are: (0,14.70) (10,19.03) and (20, 23.36)

We can see the differences between consecutive points and see if the relation is linear:

(10,19.03) -  (0,14.70) = ( 10 - 0, 19.03 - 14.70) = (10, 4.33) now we need to see the quotient: 4.33/10 = 0.433

(20, 23.36) - (10,19.03)  = (20 - 10, 23.36 - 19.03) = (10, 4.33), and the quotient is the same as before.

This means that the relation is a linear relation, where the slope os 0.433 and the x-intercept is 14.70, so the equation can be written as:

y(x) = 0.433*x + 14.70

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2 years ago
What quadrants is csc less than 0.
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quadrant IV

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6 0
3 years ago
Write or draw to explain a way to find each sum 6+7, 8+4, 2+9
Aleonysh [2.5K]
The sum to 6+7 is 13 and the answer to 8+4 is 12 and the sum to 2+9 is 11
5 0
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Read 2 more answers
7. The difference of Grandma Annie's age and twice Carl's is 22. Gran
OlgaM077 [116]
<h2>Systems of Equations Word Problems</h2>

To solve these questions, we can translate key words into operations:

  • <em>Difference</em> = subtract
  • <em>Twice</em> = double
  • <em>Less than</em> = subtract

<h2>Solving the Question</h2>

We're given:

  • Difference of Annie's age and twice Carl's age is 22
  • Annie's age is 13 less than 3 times Carl's age

There are two variables given two us: Annie's age and Carl's age.

  • Let Annie's age be equal to <em>x.</em>
  • Let Carl's age be equal to <em>y</em>.

Translate the given information into two equations:

  • Difference of Annie's age and twice Carl's age is 22
    ⇒ x-2y=22
  • Annie's age is 13 less than 3 times Carl's age
    ⇒ x=3y-13

Now, we can substitute the fist equation into the second one to solve for <em>y</em>:

(3y-13)-2y=22\\3y-13-2y=22\\y-13=22\\y=35

Now, substitute <em>y</em> back into the second equation to solve for <em>x</em>:

x=3y-13\\x=3(35)-13\\x=105-13\\x=92

<h2>Answer</h2>

Therefore, Grandma Annie is 92 years old.

6 0
2 years ago
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