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GREYUIT [131]
2 years ago
11

Brainliest for whoever gets this right

Mathematics
1 answer:
meriva2 years ago
7 0

Answer

14 degrees

Step-by-step explanation:

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16 tablespoon to milliliters
Brut [27]

Answer:  The answer is: " 240 milliliters (mL) " .

_________________________________________________

Step-by-step explanation:

_________________________________________________

Given 16 Tablespoons ;  Convert to "mL" .

Note:  "milliliters" can be abbreviated as "mL" .

Note:  15 mL = 1 Tablespoon .


16 Tablespoons * (\frac{15 mL}{1 Tablespoon})  ;

            = (16 * 15)  mL  

            =   240 mL .

_________________________________________________

The answer is:  " 240 milliliters (mL) " .

_________________________________________________

3 0
3 years ago
Melanie swam 918 meters in 3 days if she swam the distance each day how many far did melanie swim in one day
Svetradugi [14.3K]
918/3=306
So 306 meters per day.
4 0
3 years ago
1 2 3 4 5 6 7 8 9 10
Rom4ik [11]
The answer is 3) the line of g(x) is steeper and has a lower y-intercept!  

6 0
3 years ago
Marine biologists have determined that when a shark detectsthe presence of blood in the water, it will swim in the directionin w
siniylev [52]

Solution :

a). The level curves of the function :

$C(x,y) = e^{-(x^2+2y^2)/10^4}$

are actually the curves

$e^{-(x^2+2y^2)/10^4}=k$

where k is a positive constant.

The equation is equivalent to

$x^2+2y^2=K$

$\Rightarrow \frac{x^2}{(\sqrt K)^2}+\frac{y^2}{(\sqrt {K/2})^2}=1, \text{ where}\ K = -10^4 \ln k$

which is a family of ellipses.

We sketch the level curves for K =1,2,3 and 4.

If the shark always swim in the direction of maximum increase of blood concentration, its direction at any point would coincide with the gradient vector.

Then we know the shark's path is perpendicular to the level curves it intersects.

b). We have :

$\triangledown C= \frac{\partial C}{\partial x}i+\frac{\partial C}{\partial y}j$

$\Rightarrow \triangledown C =-\frac{2}{10^4}e^{-(x^2+2y^2)/10^4}(xi+2yj),$ and

$\triangledown C$ points in the direction of most rapid increase in concentration, which means $\triangledown C$ is tangent to the most rapid increase curve.

$r(t)=x(t)i+y(t)j$  is a parametrization of the most $\text{rapid increase curve}$ , then

$\frac{dx}{dt}=\frac{dx}{dt}i+\frac{dy}{dt}j$ is a tangent to the curve.

So then we have that $\frac{dr}{dt}=\lambda \triangledown C$

$\Rightarrow \frac{dx}{dt}=-\frac{2\lambda x}{10^4}e^{-(x^2+2y^2)/10^4}, \frac{dy}{dt}=-\frac{4\lambda y}{10^4}e^{-(x^2+2y^2)/10^4} $

∴ $\frac{dy}{dx}=\frac{dy/dt}{dx/dt}=\frac{2y}{x}$

Using separation of variables,

$\frac{dy}{y}=2\frac{dx}{x}$

$\int\frac{dy}{y}=2\int \frac{dx}{x}$

$\ln y=2 \ln x$

⇒ y = kx^2 for some constant k

but we know that $y(x_0)=y_0$

$\Rightarrow kx_0^2=y_0$

$\Rightarrow k =\frac{y_0}{x_0^2}$

∴ The path of the shark will follow is along the parabola

$y=\frac{y_0}{x_0^2}x^2$

$y=y_0\left(\frac{x}{x_0}\right)^2$

7 0
2 years ago
Question 12 (2 points)
Leviafan [203]
Solving is :
X=2
Y=1

Step by step
(2x-3) + 5 = 3x
2x+2=3x
X=2

Substitute x by 2
Y=1
5 0
2 years ago
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