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3 years ago

Find the volume of the figure. Round answers to the nearest hundredth, if necessary. Use 3.14 for pi.

Mathematics

2 answers:

stich3 [128]3 years ago

6 0

Answer: 602.88

Step-by-step explanation: 3.14 x r^2 x h = 3.14 x 16 x 12

AURORKA [14]3 years ago

4 0

Answer:

602.88

Step-by-step explanation:

V=π $r^{2}$ h

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polet [3.4K]

Answer:

(-5,-28)

Step-by-step explanation:

Given

$f(x)=x^2+10x - 3$

Required

Find the coordinates of the vertex

Given that the function is a quadratic function;

The general form of a quadratic function is

$f(x)= ax^2+bx +c$

By comparison;

$a = 1\ b = 10\ and\ c = -10$

To calculate the coordinates of the vertex;

we start by calculating the x-coordinate;

$x = \frac{-b}{2a}$

Substitute 10 for b and 1 for a

$x = \frac{-10}{2*1}$

$x = \frac{-10}{2}$

$x = -5$

Substitute $x = -5$ in the given function;

$y=x^2+10x - 3$

$y=(-5)^2+10*-5 - 3$

$y=25-50 - 3$

$y=-28$

<em>Hence, the coordinates of the vertex is (-5,-28)</em>

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3 years ago

x= 1, 2, 3, 4, 5. y=11\4, 25\4, 39\4, 53\4, 67\4. what equation relates y to x in the values x and y?

larisa86 [58]

(1,11/4)(2,25/4)
slope = (25/4 - 11/4) / (2 - 1) = (14/4) / 1 = 14/4 = 7/2

y = mx + b
slope(m) = 7/2
(1,11/4)...x = 1 and y = 11/4
now we sub and find b, the y int
11/4 = 7/2(1) + b
11/4 = 7/2 + b
11/4 - 7/2 = b
11/4 - 14/4 = b
-3/4 = b

so ur equation is : y = 7/2x - 3/4

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