Answer:
dx/dt = 0,04 m/sec
Step-by-step explanation:
Area of the circle is:
A(c) =π*x² where x is a radius of the circle
Applying differentiation in relation to time we get:
dA(c)/dt = π*2*x* dx/dt
In this equation we know:
dA(c)/dt = 0,5 m²/sec
And are looking for dx/dt then
0,5 = 2*π*x*dx/dt when the area of the sheet is 12 m² (1)
When A(c) = 12 m² x = ??
A(c) = 12 = π*x² ⇒ 12 = 3.14* x² ⇒ 12/3.14 = x²
x² = 3,82 ⇒ x = √3,82 ⇒ x = 1,954 m
Finally plugging ths value in equation (1)
0,5 = 6,28*1,954*dx/dt
dx/dt = 0,5 /12.28
dx/dt = 0,04 m/sec
Answer:
- <em><u> It begins to move toward the right</u></em>
Explanation:
The given information can be summarized in this way:
- First force vector: Fg = - 8N (vertical down)
- Second force vector: Ft = 6N (horizonal right)
- Third force vector: FN = 8N (vertical up)
- Fourth vector: Ff = - 4N (horizontal left)
Following Newton's second law, net force equal mass times acceleration:
- Net force = mass × acceleration
To predict the motion, you apply Newton's second law in each direction (vertical and horizontal)
- <u>Vertical force balance:</u>
Net vertical force = 8N - 8N = 0. This means there is not motion in the vertical direction.
- <u>Horizontal force balance:</u>
Net horizontal force = 6N - 4N = 2N. This means there is a net force of 2N to the right, which lets you predict that the bone starts to accelerate to the right; this is, the bone begins to move toward the right.
Answer:
all her patients patients with no cavities
patients younger than 18
every patient with braces
Step-by-step explanation:
when a sample is selected in a manner that some elements, in this case patients, of population have higher or lower probability of sampling then that sample is biased.
From given case, all the following are biased samples
all her patients patients with no cavities
patients younger than 18
every patient with braces
because they are non-random sample of a population in which all other elements were not equally likely to be chosen!
Hello,
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Answer B
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2x²+28x-5=2(x²+2*7x+49)-5-2*48
=2(x+7)²-103
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Answer:
D. The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.
Step-by-step explanation:
The treatment group using System A reported a mean of 18.5 lost bags per day. The treatment group using System B reported a mean of 16.6 lost bags per day.
The best conclusion that can be made is - The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.
As we know, in statistics, nothing happens by chance. So, this option is correct.
