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vlada-n [284]
2 years ago
5

8 + 8r = 3 + 3r can anyone can help me out​

Mathematics
2 answers:
MAVERICK [17]2 years ago
6 0

Answer:r = -1

Step-by-step explanation:

8+8r-(3+3r)=0

We add all the numbers together, and all the variables

8r-(3r+3)+8=0

We get rid of parentheses

8r-3r-3+8=0

We add all the numbers together, and all the variables

5r+5=0

We move all terms containing r to the left, all other terms to the right

5r=-5

r=-5/5

r=-1

Hope this helps

VARVARA [1.3K]2 years ago
6 0
8 + 8r = 3 + 3r
-3r -3r
————————
8 + 5r = 3
-8 -8
—————-
5r = -5
— —-
5 5
——————-
1r = 1



Hope this helped :D
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Differential Calculus, or Differentiation

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As an real life example, consider the average speed of a moving car:

average speed = distance travelled/ time taken

Obviously, this is an average by definition, but if there existed a formal mathematical link between distance and time, could we build a function that would tell us the instantaneous velocity at every given moment? The study of differential calculus gives strategies for calculating the ratio of a little change in distance to a small change in time, and then calculating the real instantaneous speed by making the small change infinitely small.

Similarly if we wanted to find the gradient of the tangent to a curve at some particular point A we would estimate the gradient by using a chord to a nearby point B. As we move this nearby point B  closer to the tangent point A the slope of the chord approaches the slope of the tangent with more and more accuracy. Again differential calculus provides techniques for us to make the point B infinitesimally close to the point A o that we can calculate the actual gradient of the tangent.

Integral Calculus, or Integration

Suppose we wanted to calculate the area under a curve, y=f(x),  bounded the x =axis, and two points a and b. We could start by splitting the interval  [a,b]  into n regular strips, and estimating the area under the curve using trapezia (this is the essence of the trapezium rule which provides an estimate of such an area). If we increase n then generally we would hope for a better approximation. The study of integration provides techniques for us to take an infinitely large number of infinitesimally small strips to gain an exact solution.

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Visual for  Fundamental Theorem of Calculus for integrals:

\int\limits^b_af {(x)} \, dx =F(b)-F(a).

where F is an antiderivative of f

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Answer:

48.668 ≤ μ ≤ 63.332

Step-by-step explanation:

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Determine the range within which the true mean of the fluid samples from the day shift will be with a 95% confidence

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Calculating the sample mean and standard deviation using calculator to save computation time :

71, 45, 54, 75, 50, 49, 63, 55, 48, 50

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Answer:

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Hello there,

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