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Nikitich [7]
3 years ago
10

Assuming the conditions regarding the motion represented in the graph remain the same, determine the acceleration of the object

at t=200 s.
What is the instantaneous acceleration at t= 10s

Mathematics
2 answers:
vovikov84 [41]3 years ago
7 0

(a)

We can see that

this is a straight line

and this is the graph of velocity

we know that

acceleration is the derivative of velocity

so, slope of curve of velocity is acceleration

so, we will find slope of this line

We can select any two points

(0,4) and (5,7)

we can use slope formula

m=\frac{y_2-y_1}{x_2-x_1}

now, we can plug points

m=\frac{7-4}{5-0}

m=0.6

we know that slope of line is always constant irrespective of any value of t

so, acceleration will always be same irrespective of any value of t

so, we will get acceleration

a(t)=0.6m/s^2............Answer

(b)

we can see that acceleration is constant

and we know that

derivative of constant is always 0

so, instantaneous rate of acceleration at t=10s is 0........Answer

Maksim231197 [3]3 years ago
7 0

Answer:

Option a

Step-by-step explanation:

Given is the graph showing the relation between time and velocity.

Velocity is shown on y axis, time on x axis.

The graph shows that relation is linear with constant slope

To find equation we see that y intercept is 4,

Two points are (0,4) and (10,10)

Slope=\frac{10-4}{10}=0.6

So equation for v is

v=0.6t+4

Now to find acceleration we can find derivative of v

For one unit change in t, v changes by 0.6 m

In other words, rate of change of velocity =

acceleration = 0.6 m/sec^2

Since acceleration is independent of t, we get

for t =10 s also

acceleration =0.6m/sec^2

OPtion a is right

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You measure the lifetime of a random sample of 25 rats that are exposed to 10 Sv of radiation (the equivalent of 1000 REM), for
Slav-nsk [51]

Answer:

CI 95%(μ)= [13.506 ; 14.094]

Step-by-step explanation:

The confidence interval (CI) formula is:

CI (1-alpha) (μ)= mean+- [(Z(alpha/2))* σ/sqrt(n)]

alpha= is the proportion of the distribution tails that are outside the confidence interval. In this case, 5% because 100-90%

Z(5%/2)= is the critical value of the standardized normal distribution. In this case is 1.96

σ= standard deviation. In this case 0.75 day

mean= 13.8 days

n= number of observations . In this case 25

Then, the confidence interval (90%) is:

CI 95%(μ)= 13.8+- [1.96*(0.75/sqrt(25)]

CI 95%(μ)= 13.8+- [1.96*(0.75/5) ]

CI 95%(μ)= 13.8+- (0.294)

CI 95%(μ)= [13.8-0.294 ; 13.8+0.294]

CI 95%(μ)= [13.506 ; 14.094]

4 0
3 years ago
Kurt says factors and multiples are
maxonik [38]

<u>Step-by-step Explanation:</u>

<em>Before heading towards the solution, you need to make sure how multiple and factors are related to each other.</em>

<em>The multiple of a number could be obtained by multiply it with another number. </em>

For example, the first five multiples of 12 are 12, 24, 36, 48 and 60

  • 1 X 12 = 12
  • 2 X 12 = 24
  • 3 X 12 = 36
  • 4 X 12 = 48
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<em>Factors are the numbers that are multiplied to get a given number.</em>

For example,

  • 1 X 12 = 12
  • 2 X 12 = 24
  • 3 X 12 = 36

The factors of 12 are 1, 2, 3, 4, 6 and 12.

As division and multiplication can be used to find factors and multiples.

For example a whole number is a multiple of its factors.

Let w = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20} be the set of even wholes numbers from 2 to 20.

As 2 is a factor of 20 because 20 ÷ 2 = 4

20 is a multiple of 2 because 2 X 10 = 20

So, in the same way, the equation 8 X 5 = 40 can be used to determine how factors and multiples are related.

Let the equation be

                                    8 X 5 = 40

8 is a factor of 40 because 8 X 5 = 40

40 is a multiple of 8 because 40 ÷ 5 = 8

<em>So, this is how factors and multiples are related to each other.</em>

<em />

<em>Keywords: factors, multiples, division, multiplication</em>

<em> Learn more about factors and multiples from brainly.com/question/596356</em>

<em> #learnwithBrainly</em>

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Can’t solve this problem
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