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Andreyy89
3 years ago
11

Need help now!!! check points

Mathematics
1 answer:
kykrilka [37]3 years ago
5 0
24=(n-3)(2)
24\2=(n-3)(2)/2 divide by two on both sides
12=n-3
12+3=n-3+3 add three on both sides to isolate the variable
15=n
Then check the work
24=(15-3)(2)
24=12(2)
24=24
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2x + 6 = 20<br> Please answer quickly options for x are 6,7,5,8 they are one of those numbers
BaLLatris [955]

Answer: X = 7

Step-by-step explanation:

Or, you don't have to plug any of those in and solve for x

subtract 6 from both sides

2x = 14

divide 14 by 2x

x=7

5 0
2 years ago
PLEASE HELP MEEEEE
ElenaW [278]

Answer:

  t ≥ -12

Step-by-step explanation:

Divide the inequality by the coefficient of t. Because that value is negative, the sign gets reversed.

  (-4t)/(-4) ≥ (48)/(-4)

  t ≥ -12

5 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
Amir started a business with john and jack. Amir invested 2/6 of the amount to start a business. John 2/5 of the investment. The
Nonamiya [84]

First, we need to add 2/6 and 2/5.

2/6 can be simplified to 1/3

We need to have 1/3 and 2/5 have the same denominator. 3 and 5's LCM (least common multiply) is 15.

Multiply both the numerator and denominator of 1/3 by 5. This equals 5/15.

Multiply both the numerator and denominator of 2/5 by 3. This equals 6/15.

5/15 plus 6/15 is 11/15. This means that Jack's 6000 dollars is 4/15.

Let's say that x is the total amount invested by all three.

6000/x would equal 4/15.

Solve this by multiply 6000 by 15 and 4 by x and making these two equal each other.

90000 would equal 4x. Divide both sides by 4 to get x.

90000 divided by 4 would be 22500.

4/15 is the fraction by Jack

22500 is the total amount invested by all 3

7 0
2 years ago
Answer the following questions Question one Are the following rational, irrational or neither? Please HELP ASAP ​
Alex777 [14]

Answer:

1.1) Rational

1.2) Rational

1.3) Irrational

1.4) Rational

1.5) Rational

1.6) Irrational

Step-by-step explanation:

Rational means it can be represented as a fraction where the numerator and denominator are whole numbers and vice versa for irrationals.

3 0
2 years ago
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