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3 years ago

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Mathematics

1 answer:

inessss [21]3 years ago

7 0

This is very confusing!!!!!!!!!1

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An exercise ball contains 4000 cubic inches of air when fully inflated. Write and graph a cubic function to model this situation

juin [17]

Answer:

r = 9.8475 in

Step-by-step explanation:

We assume that the ball is spherical.

The volume of a spherical ball is:

$V = \frac{4}{3}\pi r ^ 3$

We know that:

$V = 4000in ^ 3\\4000 = \frac{4}{3}\pi r ^ 3$

Then

$r ^ 3 = \frac{3*4000}{4(\pi)}\\\\r = \sqrt[3]{\frac{3*4000}{4(\pi)}}\\\\r = 9.8475in$

Below is the graph of the cubic function

8 0

3 years ago

What is a positive plus a negative

vichka [17]

Pos. + Neg. = Pos. if |Pos.| > |Neg.|

Example:

10 + (-9) = 1

|10| = 10 > |-9| = 9

Pos. + Neg. = Neg. if |Pos.| < |Neg.|

Example:

10 + (-11) = -1

|10| = 10 < |-11| = 11

Pos. + Neg. = 0 if |Pos.| = |Neg.|

Example:

10 + (-10) = 0

|10| = 10 = |-10|

Neg. + Pos. the same like Pos. + Neg.

5 0

4 years ago

7731 rounded to the nearest 10

Lana71 [14]

7731 Rounded to the nearest 10th is 7,731.0

7 0

3 years ago

Maddy lleva un bote con bebida para deportistas; el bote de 5 55 litros pesa 7 , 5 kg 7,5 kg7, comma, 5, start text, space, k, g

Kaylis [27]

Answer: $3\ kilograms$

Step-by-step explanation:

It is important to remember that, by definition, proportional relationships have the following form:

$y=kx$

Where "k" is the constant of proportionality.

We know that Maddy assume that the relation between the volume and the weight is proportional.

Then, let be "V" the volume in liters and "w" the weight in kilograms.

We can write the following equation:

$V=kw$

So, if the boat of 555 liters weights 7.5 kilograms, we can find "k":

$555 =k(7)\\\\k=\frac{555}{7}\\\\k=74$

In order to solve the exercise, substitute the value of "k" and $V=222$ into the equation and solve for "w". Then:

$222=(74)w\\\\\frac{222}{74}=w\\\\w=3$

7 0

4 years ago

Find the volume of the composite solid.

OLEGan [10]

Here's the solution,

the volume of the given figure is :

=》

$volume \: \: of \: \: (pyramid \: + rectangular \: \: prism)$

volume of pyramid :

=》

$\dfrac{l \times b \times h}{3}$

=》

$\dfrac{4 \times 5 \times 6}{3}$

=》

$\dfrac{120}{3}$

=》

$40$

volume of pyramid = 40 cm³

now, volume of rectangular prism :

=》

$l \times b \times h$

=》

$4 \times 5 \times 2$

=》

$40$

volume of rectangular prism = 40 cm³

volume of composite figure = 40 + 40

=》80 cm³

4 0

3 years ago