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3 years ago

11

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = sin(x), the x-ax

is, x = 0, and x = π

1 answer:

weeeeeb [17]3 years ago

8 0

Answer:

Option 1

Step-by-step explanation:

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On a coordinate plane, a parabola opens up. It goes through (negative 2, 4), has a vertex at (0.25, negative 6), and goes throug

serg [7]

The statements true about the the function f(x) = 2x2 – x – 6 are-

The vertex of the function is (one-quarter, negative 6 and one-eighth).
The function has two x-intercepts.

<h3>What is vertex of parabola?</h3>

The vertex of parabola is the point at the intersection of parabola and its line of symmetry.

Now the given function is,

f(x) = 2x^2 – x – 6

Also, it is given that the vertex is located at (0.25, -6) and the parabola opens up, the function has two x-intercepts.

Comparing the given function with standard form,

f(x) = a x^2 bx + c

By comprison we get,

a = 2

b = -1

c = -6

Now, x-coordinate of vertex is given as,

x = -b/2a

put the values we get,

x = -(-1)/2*2

or, x = 1/4

Put the value of x in given function, so y-coordinate of the vertex is given as,

f(1/4) = 2(1/4)² - 1/4 - 6

= -49/6

= -6 1/8

Hence, The statements true about the the function f(x) = 2x2 – x – 6 are-

The vertex of the function is (one-quarter, negative 6 and one-eighth).
The function has two x-intercepts.

More about vertex :

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3 0

1 year ago

What is the answer for this 3/8% as a fraction

lianna [129]

3 / 8 % = ( 3 / 8 ) / 100 = ( 3 / 8 ) * ( 1 / 100 ) = 3 / 800 ;

6 0

3 years ago

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determine the diameter to the nearest inch of a large can of tuna that has a volume 6068 inches and a height of 3.3 inches

anyanavicka [17]

Answer:

The diameter of can is<u> 48 inches</u>.

Step-by-step explanation:

Given:

Volume of can = 6068 inches.

And height(h) = 3.3 inches.

Now, to find the diameter.

Diameter = 2 × radius

Let radius be $r.$

So, by putting the formula of volume we get the radius:

$Volume =\pi r^2h$

$6068=3.14\times r^2\times 3.3$ (taking the value of π=3.14)

$6068=10.362\times r^2$

<em>Dividing both sides by 10.362 we get:</em>

$585.60=r^2$

<em>Using square root on both sides we get</em>:

$24.199=r$

<em>Radius = 24.199 inches.</em>

Then, we get the diameter:

Diameter = 2 × radius

Diameter = 2 × 24.199 = 48.398 inches.

Diameter = 48 inches (rounding to nearest, inch as in the place of tenth it is 3 which is less than 5.)

Therefore, the diameter of can is 48 inches.

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3 years ago

83 simplified<br> whoever gets it right is the brainliest

Alina [70]

83 is a whole number and cannot be simplified.

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3 years ago

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Simplify the expression

Grace [21]

(-5+8*i)+(-9+5*i) evaluates to <span>-14+13i</span>

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3 years ago