Answer:
<u>a = - 5.</u>
Step-by-step explanation:
The given equation is,
- Negative (5 minus (a + 1)) = 9 minus (5 minus (2a minus 3))
We need to change it to its numerical form ⟶ - (5 - (a + 1)) = 9 - (5 - (2a - 3))
Now, by solving it...
![-(5-(a+1))=9-(5-(2a-3))\\-\left(5-a-1\right)=9-\left(5-\left(2a-3\right)\right) \\-\left(4-a\right)=9-\left(5-\left(2a-3\right)\right) \\-4+a=9-\left(5-\left(2a-3\right)\right) \\-4+a=9-\left(5-2a-\left(-3\right)\right) \\-4+a=9-\left(5-2a+3\right) \\-4+a=9-\left(8-2a\right) \\-4+a=9-8-\left(-2a\right) \\-4+a=9-8+2a \\-4+a=1+2a \\-4+a-2a=1 \\-4-a=1 \\-a=1+4 \\-a=5 \\\boxed{a=-5 }](https://tex.z-dn.net/?f=-%285-%28a%2B1%29%29%3D9-%285-%282a-3%29%29%5C%5C-%5Cleft%285-a-1%5Cright%29%3D9-%5Cleft%285-%5Cleft%282a-3%5Cright%29%5Cright%29%20%5C%5C-%5Cleft%284-a%5Cright%29%3D9-%5Cleft%285-%5Cleft%282a-3%5Cright%29%5Cright%29%20%5C%5C-4%2Ba%3D9-%5Cleft%285-%5Cleft%282a-3%5Cright%29%5Cright%29%20%5C%5C-4%2Ba%3D9-%5Cleft%285-2a-%5Cleft%28-3%5Cright%29%5Cright%29%20%5C%5C-4%2Ba%3D9-%5Cleft%285-2a%2B3%5Cright%29%20%5C%5C-4%2Ba%3D9-%5Cleft%288-2a%5Cright%29%20%5C%5C-4%2Ba%3D9-8-%5Cleft%28-2a%5Cright%29%20%5C%5C-4%2Ba%3D9-8%2B2a%20%5C%5C-4%2Ba%3D1%2B2a%20%5C%5C-4%2Ba-2a%3D1%20%5C%5C-4-a%3D1%20%5C%5C-a%3D1%2B4%20%5C%5C-a%3D5%20%5C%5C%5Cboxed%7Ba%3D-5%20%7D)
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Hope it helps!
![\mathfrak{Lucazz}](https://tex.z-dn.net/?f=%5Cmathfrak%7BLucazz%7D)
The average velocity of the particle in the time interval between 3s and 5s is 20 ms⁻¹ and its instantaneous velocity at 4s is 20 ms⁻¹.
How to determine average velocity and instantaneous velocity?
Average velocity is defined as the body's overall displacement divided by its time of motion. While instantaneous velocity is defined as a body's speed at a certain instant in time, or its displacement at that instant. When the velocity is constant, average and instantaneous velocities will equalize at just one condition.
The definition of instantaneous velocity is the rate of change of position over a relatively brief time period (almost zero). Simply said, the speed of an object at that precise moment. The definition of instantaneous velocity is "The velocity of an item in motion at a certain point in time." The instantaneous velocity of an object may be equal to its standard velocity if it has uniform velocity.
Mathematically, average velocity = [s(t₂) - s(t₁)]/[t₂ - t₁]
Instantaneous velocity at time, t is = (ds/dt) at time = t
Given, the displacement for the particle is given by s = 3t² - 4t + 5
Time interval, t₁ = 5s and t₂ = 3s;
Using formula in literature, average velocity of the particle in the time interval between 3s and 5s is:
Average velocity = (s(5) - s(3))/(5 - 3) = (60 - 20)/2 = 20 ms⁻¹
Instantaneous velocity at t = 4 is ds/dt at that time-frame:
Now, v = ds/dt = 6t -4
Now, v(4) = 6(4) - 4 = 20 ms⁻¹
The average velocity of the particle in the time interval between 3s and 5s is 20 ms⁻¹ and its instantaneous velocity at 4s is 20 ms⁻¹.
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Answer:
This is true!
Step-by-step explanation:
Alex got the highest grade of the three boys. Ethan got the middle grade, and Harrison got the lowest.
Let's say that they each got a grade out of 100. These are the boys, in order, by their grade:
Alex - 100%
Ethan - 50%
Harrison - 0%
Now you see that if you take out Ethan, Alex still has a higher grade than Harrison.
The negative sign on an exponent means the reciprocal. Think of it this way: just as a positive exponent means repeated multiplication by the base, a negative exponent means repeated division by the base.