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2 years ago

15

A whale is at the surface of the ocean to breathe. The whale swims down 300 feet to feed. The whale swims down 150 more feet mor

e. What is the whale’s elevation now?

2 answers:

Harrizon [31]2 years ago

6 0

Answer:

The whale's elevation is -450. This is because 300 + 150 = 450, making the whale 450 feet below sea level.

Licemer1 [7]2 years ago

4 0

0-300-150=-450 feet
-450 feet is the whale’s elevation

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Let ρ = x3 + xe−x for x ∈ (0, 1), compute the center of mass.

hram777 [196]

The center of mass is mathematically given as

$\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}$

<h3>What is the center of mass.?</h3>

Determine the center of mass in one dimension:

Represent the masses at the respective distances.

$\begin{|c|c|} Masses \ & \ \ \ \ \ \ \ \ \ \ \ \ \ \ Located at \\\rho=x^{3}+x \cdot e^{-x} & \ \ \ \ x \in(0,1)$ \\\end$

We calculate the total mass of the system.

$\begin{aligned}m &=\int_{0}^{1} \rho \cdot d x \\& m =\int_{0}^{1}\left(x^{3}+x \cdot e^{-x}\right) \cdot d x \\&m =\left|\frac{x^{4}}{4}-(x+1) e^{-x}\right|_{0}^{1} \\&m =\left(\frac{5}{4}-\frac{2}{e}\right)\end{aligned}$

Step 03: Calculate the moment of the system.

$\begin{aligned}M &=\int_{0}^{1}(\rho \cdot x) \cdot d x \\& M=\int_{0}^{1}\left(x^{4}+x^{2} \cdot e^{-x}\right) \cdot d x \\&M =\left|\frac{x^{5}}{5}-\left(x^{2}-2 x+2\right) \cdot e^{-x}\right|_{0}^{1} \\&M=\left(\frac{11}{5}-\frac{5}{e}\right)\end{aligned}$

we calculate the center of mass.

$\begin{aligned}\bar{x} &=\left(\frac{M}{m}\right) \\& \bar{x}=\left\{\left(\frac{\left.11-\frac{5}{5}\right)}{\left(\frac{5}{4}-\frac{2}{e}\right)}\right\}\right.\\& \bar{x}=\left(\frac{11 e-25}{5 e}\right) \cdot\left(\frac{4 e}{5 e-8}\right) \\&\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}$

Read more about the center of mass.

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1 year ago

Last week, Gina's art teacher mixed 9 pints of red paint with 6 pints of white

kherson [118]

Answer:

Step-by-step explanation:

First mix: 4 pints red and 3 pints white = 7 pints in 4:3 ratio.

Second mix: 5 pints red and 2 pints white = 7 pints in 5:2 ratio

Second music is redder than first mix.

4 0

2 years ago

Please help!!! 20 points!!

Aleksandr-060686 [28]

The answer that you are looking for is C.

5 0

2 years ago

Please help!? 5 Stars! :0 :(

zvonat [6]

OK. These problems are easy if you know the quadratic formula,
and they're impossible if you don't.

Here's the quadratic formula:

When the equation is in the form of Ax² + Bx + C = 0

then x = [ -B plus or minus √(B²-4AC) ] / 2A

I'm sure that formula is in your text or your study notes,
right before these questions. You should cut it out or
copy it, and tape it inside the cover of your notebook.
Then, you'll always have it when you need it, until
you have it memorized and can rattle it off.

The first question says 3x² + 5x + 2 = 0

Is this in the form of    Ax² + Bx + C = 0 ?

   Yes !       A=3 B=5   C=2

   so you can use the quadratic formula to solve it.

    x = [ -B plus or minus √(B²-4AC) ] / 2A

   = [ -5 plus or minus √(5² - 4·3·2) ] / 2·3

   = [ -5 plus or minus √(25 - 24) ] / 6

   = [ -5 plus or minus √1    ] / 6

   x =    -4 / 6 = -2/3
and
   x =    -6 / 6 = -1 .
_______________________________________

The second question says

   4x² + 5x - 1 = 0

Is this in the form of Ax² + Bx + C = 0 ?

   Yes it is ! A=4 B=5 C= -1

   so you can use the quadratic formula to solve it.

    x = [ -B plus or minus √(B²-4AC) ] / 2A

Now, you take it from here.

6 0

2 years ago

W - 6= -4w - 11<br><br> I don’t get it

jolli1 [7]

Answer:

Well if your solving for "W" it will be "W= -4w - 5"

Hope it helps :)

Step-by-step explanation:

6 0

2 years ago

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