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3 years ago

A movie theater designs two bags to hold 250 cubic inches of popcorn each.

Mathematics

1 answer:

grigory [225]3 years ago

4 0

Answer:

5 inches

Step-by-step explanation:

Well two bags hold 250 cubic inches, which means one bag will hold 125 cubic inches.

Then you cube route 125 because its cubic inches.

$\sqrt[3]{125}$ = 5

So I would think its five inches but I may be wrong <3

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Which of the following equations have complex roots?

mestny [16]

Answer:

Step-by-step explanation:

Complex roots of quadratic functions occur when the <u>discriminant is negative</u>.

<u>Discriminant</u>

$b^2-4ac\quad\textsf{when}\:\:ax^2+bx+c=0$

Evaluate the discriminant of each of the given equations.

$\textsf{A.} \quad 3x^2+2=0$

$\implies a=3, \quad b=0, \quad c=2$

$\implies b^2-4ac=0^2-4(3)(2)=-24$

As -24 < 0 the equation will have complex roots.

$\textsf{B.} \quad 2x^2+1=7x$

$\implies 2x^2-7x+1=0$

$\implies a=2, \quad b=-7, \quad c=1$

$\implies b^2-4ac= (-7)^2-4(2)(1)=41$

As 41 > 0 the equation does not have complex roots.

$\textsf{C.} \quad 3x^2-1=6x$

$\implies 3x^2-6x-1=0$

$\implies a=3, \quad b=-6, \quad c=-1$

$\implies b^2-4ac=(-6)^2-4(3)(-1)=48$

As 48 > 0 the equation does not have complex roots.

$\textsf{D.} \quad 2x^2-1=5x$

$\implies 2x^2-5x-1=0$

$\implies a=2, \quad b=-5, \quad c=-1$

$\implies b^2-4ac=(-5)^2-4(2)(-1)=33$

As 33 > 0 the equation does not have complex roots.

Learn more about discriminants here:

brainly.com/question/27444516

brainly.com/question/27869538

Learn more about complex roots here:

brainly.com/question/26344541

6 0

2 years ago

A rectangle is plotted on the coordinate grid. It has vertices at (-3, 5), (4, 5), (4, -1), and (-3, -1). Which choices below ar

zhannawk [14.2K]

A rectangle is plotted on the coordinate grid. It has vertices at (-3, 5), (4, 5), (4, -1), and (-3, -1). Which choices below are the dimensions of the rectangle?

Answer

(-3,5)

3 0

2 years ago

A picture of a cougar is 3/4in long, and the legend below it says 1 : 80. How long is the actual cougar?

stealth61 [152]

Basically the real one is 80 times the picture
80 times 3/4=80/1 times 3/4=240/4=60in=5ft
it is 5ft long or 60in

8 0

3 years ago

Does this table represent a linear function?

IRINA_888 [86]

I think yes because the number are not all the same

5 0

3 years ago

A circle is divided into 6 equal parts. What is the total angle measure of 1 part

vekshin1

Answer:

Step-by-step explanation:

One circle is 360 degrees and if you split it into 6 pieces then you divide 360 by 6 and that equals 60

8 0

3 years ago