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frez [133]
3 years ago
7

Please help me answer this

Mathematics
1 answer:
posledela3 years ago
8 0

Answer:

the answer is a=6π ~~~~~~~~~~~~~~~~

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The function v(t) is the velocity in m/sec of a particle moving along the x-axis. Use analytic methods to do each of the followi
lorasvet [3.4K]

Answer:

a) Right 0≤p<π/2 and 3π/2<p≤2π

  left  π/2 ≤ p ≤3π/2

  stopped  p=π/2 and p=3π/2

b)  5.5cm and its final position (2π, 0)

c) 6.5cm

Step-by-step explanation:

we must find where the function becomes negative, positive and zero

(according to the graph)

the particle moves to the right where the function is positive

0≤p<π/2 and 3π/2<p≤2π , the particle moves to the left where the function is negative π/2 ≤ p ≤3π/2, and stopped p=π/2 and p=3π/2

s(t)=∫v(t)dt also s(t) = 5sin(t)

(according to the graph 2)

The displacement of the particle is 5.5 and its final position

(2π, 0)

The total displacement of the particle is 6.5

 

4 0
3 years ago
Solving 8 problems per minute, Fast Finn can finish his test in time. He was however, working faster, solving 10 problems per mi
mrs_skeptik [129]

Answer:

Number of problems = 240

Step-by-step explanation:

Let x be the number of questions and t be the time.

Given:

Average rate = 8 problems per minute

Fast Finn rate = 10 problems per minute

Fast Finn taken time = t - 6

We need to find the number of problems on the test paper.

Solution:

Average rate to solve test paper.

Average\ rate =\frac{Number\ of\ questions}{time}  

8 =\frac{x}{t}

t =\frac{x}{8} --------------(1)

Fast Finn rate to solve the test paper.

Average\ rate =\frac{Number\ of\ questions}{time}  

10 =\frac{x}{t-6}

Using cross multiplication rule.

x=10(t-6)

x=10t-60

substitute t =\frac{x}{8}  from equation 1.

x=10(\frac{x}{8}) -60

Rearrange the equation as:

x - \frac{5}{4}x = -60

\frac{4x-5x}{4}=-60

-\frac{x}{4} =  -60

Using cross multiplication rule.

x = 60\times 4

x = 240 problems.

Therefore, 240 problems were on the test.

4 0
3 years ago
What is the best estimate for 591.3 divided by 29
ioda
Best estimate would be to round 591.3 to 600 and round 29 to 30. 600/30 = 20.
6 0
3 years ago
Six rectangles each with a common base width of 2
Yuki888 [10]
91 IS THE AREAS OF THE SIX RECTANGLES
4 0
3 years ago
What are the domain and range of the function below?
jekas [21]

Answer:

Domain: all real numbers

Range: all real numbers greater than or equal to -2

Step-by-step explanation:

The domain is the set of x-coordinates.

It is the set of real numbers since x can be any real number.

The range is the set of y-coordinates.

The minimum value for y is -2. y can be -2 or any real number greater than -2.

Answer:

Domain: all real numbers

Range: all real numbers greater than or equal to -2

6 0
3 years ago
Read 2 more answers
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