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Alik [6]
3 years ago
8

Please help with these two questions if you can it would really make my day! 20 points

Mathematics
2 answers:
Svetllana [295]3 years ago
7 0
1st one is 512L
2nd one is 125mL 
let me know if im wrong
Arte-miy333 [17]3 years ago
4 0
8x8=64x8=512L

5x5=25x5=125mL

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The nearest thousand 51.487
Oksana_A [137]
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A piecewise function is defined as shown. f(x) =  What is the value of f(x) when x = 3?
IrinaVladis [17]
I hope this helps you



x=3


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3 0
3 years ago
Read 2 more answers
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that s
WINSTONCH [101]

Answer:  \bold{c=\dfrac{1+\sqrt{19}}{3}\approx1.8}

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

There are 3 conditions that must be satisfied:

  1. f(x) is continuous on the given interval
  2. f(x) is differentiable
  3. f(a) = f(b)

If ALL of those conditions are satisfied, then there exists a value "c" such that c lies between a and b and f'(c) = 0.

f(x) = x³ - x² - 6x + 2     [0, 3]

1. There are no restrictions on x so the function is continuous \checkmark

2. f'(x) = 3x² - 2x - 6 so the function is differentiable \checkmark

3. f(0) =  0³ - 0² - 6(0) + 2 = 2

   f(3) =  3³ - 3² - 6(3) + 2  = 2

   f(0) = f(3) \checkmark

f'(x) = 3x² - 2x - 6 = 0

This is not factorable so you need to use the quadratic formula:

x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(3)(-6)}}{2(3)}\\\\\\.\quad =\dfrac{2\pm \sqrt{4+72}}{2(3)}\\\\\\.\quad =\dfrac{2\pm \sqrt{76}}{2(3)}\\\\\\.\quad =\dfrac{2\pm 2\sqrt{19}}{2(3)}\\\\\\.\quad =\dfrac{1\pm \sqrt{19}}{3}\\\\\\.\quad \approx\dfrac{1+4.4}{3}\quad and\quad \dfrac{1-4.4}{3}\\\\\\.\quad \approx1.8\qquad and\quad -1.1

Only one of these values (1.8) is between 0 and 3.

5 0
3 years ago
On the coordinate plane shown, each grid unit represents 10 feet. Polygon QRST has vertices Q(10, 30), R(−20, 30), S(−20, −10),
max2010maxim [7]

P  140 units

A  1200 units^2

Step-by-step explanation:

The length of the rectangle is 20 to -20 = 20 - -20 = 40 units

The width of the rectangle is 20 to -10 = 20 - -10 = 30 units

The perimeter is given by

P = 2 ( l+w) = 2 (40+30) = 2 (70) = 140 units

The area is given by

A = lw = 40*30 = 1200 units^2

4 0
2 years ago
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