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kupik [55]
3 years ago
11

The first three terms of an arithmetic sequence are 8, 9, 10, .... What is the sum of the first ten terms of the series?

Mathematics
1 answer:
Goshia [24]3 years ago
3 0
B. 125 every term is increasing 1+
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SOMEONE HELP ASAP!!
Anuta_ua [19.1K]

9514 1404 393

Answer:

  (c)  dZ/dt = 11/√544, so moving away at about 0.47 m/s

Step-by-step explanation:

The (x, y) coordinates of the car are related by the fact that they are on a circle centered at (12, 7) with a radius of 5. Then their rates of change are related by the derivative of the circle equation with respect to time.

  (x -12)^2 + (y -7)^2 = 25

  2(x -12)x' +2(y -7)y' = 0

  y' = -(x -12)/(y -7)x'

At the time and point of interest, we have ...

  y' = -(15 -12)/(11 -7)(1) = -3/4

__

The distance (z) to the observer is given by the Pythagorean theorem:

  z^2 = (x -0)^2 +(y -2)^2

and its rate of change with time is ...

  2z·z' = 2(x-0)x' +2(y -2)y'

The distance d at the point of interest is ...

  z = √((15 -0)^2 +(11 -2)^2) = √(225 +81) = √306 = 3√34

So, the rate of change of distance to the observer at the time and point of interest is ...

  z' = (x(x') +(y -2)y')/z

  z' = ((15)(1) +(11-2)(-3/4))/(3√34) = (33/4)/(3√34)

  z' = 11/√544 ≈ 0.47 . . . m/s

3 0
3 years ago
What is the slope of the line that contains the points (3,1) and (2,-3)
Goryan [66]

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-3-1}{2-3}\implies \cfrac{-4}{-1}\implies 4

8 0
3 years ago
Choose the equation of the vertical line passing through the point (-2,3)
andreev551 [17]
Vertical line is x=something
we see
(x,y)
(-2,3)
x=-2 is the equation
3 0
3 years ago
Find the square root of 3364 by prime factorization method
olganol [36]

3364

= 2^2 * 29^2

So

√3364 = √(2^2 * 29^2) = 2 * 29 = 58

3 0
3 years ago
Pleaseee someone help!! giving 20 points
choli [55]

Answer:

m=125*n

Step-by-step explanation:

for every minute that passes 125 meals are packed so you multiply 125 by the amount of minutes(n) to get m

5 0
2 years ago
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