pls help asap ill give brainliest

Answer:

x = 3, 8

Step-by-step explanation:

[tex]x^{2} +11x +24\\(x + 8)(x + 3)[/tex]

Answer:

x= -8, -3

Step-by-step explanation:

(x+8)(x+3)

x= -8, -3

Solution :

a). The level curves of the function :

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

are actually the curves

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

where k is a positive constant.

The equation is equivalent to

[tex]$x^2+2y^2=K$[/tex]

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

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 :

[tex]$\triangledown C= \frac{\partial C}{\partial x}i+\frac{\partial C}{\partial y}j$[/tex]

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

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

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

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

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

[tex]$\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} $[/tex]

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

Using separation of variables,

[tex]$\frac{dy}{y}=2\frac{dx}{x}$[/tex]

[tex]$\int\frac{dy}{y}=2\int \frac{dx}{x}$[/tex]

[tex]$\ln y=2 \ln x$[/tex]

⇒ y = kx^2 for some constant k

but we know that [tex]$y(x_0)=y_0$[/tex]

[tex]$\Rightarrow kx_0^2=y_0$[/tex]

[tex]$\Rightarrow k =\frac{y_0}{x_0^2}$[/tex]

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

[tex]$y=\frac{y_0}{x_0^2}x^2$[/tex]

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

Answer:

The answer is "[tex]0.02235 \ and \ 0.02501[/tex]".

Step-by-step explanation:

Given:

[tex]x= 1184\\\\n = 50000\\\\c = 95\% = 0.95[/tex]

The sample proportion is computed by subtracting that sample size by both the successes:

[tex]\hat{p}=\frac{x}{n} =\frac{1184}{50000}= 0.02368[/tex]

Determine [tex]z_{\frac{\alpha}{2}} = Z_{0.025}[/tex] using table Z in Table Z for trust level [tex]1 -\alpha = 0.95[/tex]

add using appendix F ((0.025) inside the table, therefore the z-score is the found z-score with negative sign):

So, the boundaries of the confidence interval:

[tex]\to \hat{p}-z_{\frac{\alpha}{2}} \cdot \sqrt{\frac{\hat{p} (1-\hat{p})}{n}} = 0.02368 - 1.96 \cdot \sqrt{\frac{0.02368(1-0.02368)}{50000}}\approx 0.02235 \\\\\to \hat{p}-z_{\frac{\alpha}{2}} \cdot \sqrt{\frac{\hat{p} (1-\hat{p})}{n}} = 0.02368 + 1.96 \cdot \sqrt{\frac{0.02368(1-0.02368)}{50000}}\approx 0.02501\\\\[/tex]

Answer:

The equation is 56x - 13 = x - 6

Step-by-step explanation:

Let's say our 'number' is x. If it says it's 56 times our number, it's 56x. Minus 13, which is 56x - 13. If it is equal than 6 less than the number, then it is x - 6.

So the equation is 56x - 13 = x - 6

Answer:

72×5.75=414

Step-by-step explanation:

is the cost of 72 books

Answer:

92.727

Step-by-step explanation:

The formula for compound interest is [tex]P((1+i)^{t} -1)[/tex], where P is the principal amount, i is the interest rate and t is the time. Sub your values into this formula to find your answer.

1000((1+0.03)³-1)

1000(1.03³-1)

1000(1.092727-1)

92.727

1000(0.092727)

The maximum value of the objective function occurs at (-3, 0). The correct option is (-3, 0).

A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) and x ∈ X and y ∈ Y.

The objective function is given as f(x, y) = −2x + y − 1.

For the maximum value all the options are analysed one by one as follows,

(a) Substitute x = 3 and y = 0 in the given objective function to obtain,

-2 × 3 + 0 - 1 = -7

(b) Substitute x = -3 and y = 0 in the given objective function to obtain,

-2 × -3 + 0 - 1 = 5

(c) Substitute x = 0 and y = -3 in the given objective function to obtain,

-2 × 0 + -3 - 1 = -4

(d)  Substitute x = 0 and y = 0 in the given objective function to obtain,

-2 × 0 + 0 - 1 = -1

Hence, the maximum value of the given objective function occurs at (-3, 0).

To know more about function click on,

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Answer: Length: 14; Width: 4

Step-by-step explanation:

Answer: $60

Step-by-step explanation:

Here is why:

For 20 -word ad it will be $20 because of twice the amount of the 10 word amount. and another $40 for the photo!

And you get $60!

Any Questions

It will cost $54 for an 20 word ad and a photo.

We have Antique Auto News agency which charges $10 for a 10-word classified ad. Each additional word costs $0.40 and for an extra $40, a seller can include a photo in the ad.

We have to determine much would it cost for a 20-word ad with a photo.

Initial count = x

Count increasing per second = 5

Assume that the bacteria count after t seconds is y. Then -

y = x + 5t

for t = 30 ↔ y = 150 + x

According to the question, we have -

Cost of 10-word classified ad → $10

Additional word cost → $0.40

Additional Photo cost → $40

Therefore -

Assume that for a 20-word ad with a photo costs $x.

Therefore -

x = 10 + 0.40 x 10 + 40

x = 10 + 4 + 40

x = 54

Hence, it will cost $54 for an 20 word ad and a photo.

To solve more questions on Amount estimation , visit the link below-

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Answer:

2acd^3b^-1

Step-by-step explanation:

About the domain, I don't understand that but i tried to help you.

9514 1404 393

Answer:

  a≠0 and b≠0 and c≠0 and d≠0

Step-by-step explanation:

No denominator is allowed to be zero. 'c' and 'd' are in the denominator of the numerator and denominator terms. 'a' and 'b' are in the numerator of the denominator term, so will make that term zero if they are zero. In short, none of a, b, c, or d may be zero.

__

The fact that the expression simplifies to ...

  2acd^3/b

does not mean that the only restriction is b≠0.

Answer:

50%

Step-by-step explanation:

The distance between each dot is 25%

From 68 to 70 is 25% and 70 to 74is 25%

Above 68 is 25+25 or 50 %

The angles inside a trapezoid add up to equal 360 degrees

X = 360-90-90-75 = 105 degrees.

Answer:

280.56 in

Step-by-step explanation:

A square has 4 sides

67/4  = 16.75

All 4 sides are 16.75

Now, area of a square

16.75 x 16.75 = 280.5625

Round to Hundreths, 280.56.

280.6

i took the test................................

Answer:

A- using prior knowledge

Step-by-step explanation:

Answer:

Its the third answer choice

Step-by-step explanation:

Hope this helped!!!

Answer:

C

Step-by-step explanation:

30 x 60 x 70 = 126,000

90 x 60 x 30 = 288,000

288,000 + 126,000 = 288,000cm^3

Answer: 288,000 [tex]cm^{3}[/tex]

Step-by-step explanation:

first, break down the shape thingy into two different shapes. there's more than one way to do it, but i'll be cutting the shape horizontally at the corner of the L shape (where the 40 cm and 90 cm lines connect)

small prism dimensions: 60 x 30 x 40 = 72,000

large prism dimensions: (30+90) x (70-40) x 60 / 120 x 30 x 60 = 216,000

add them to get 288,000 [tex]cm^{3}[/tex]

Answer: Fish tank = 9 other fishtank= 9,000 Jewlery box=9 other jewelry box=320

CANT SEE OTHER SORRY

Step-by-step explanation: Ok first IK UR NOT IN COLLEGE second dont

cheat imma give ya answer to be noice

Answer:

Hey!!

Step-by-step explanation:

h = d − 5 /10 + x

Hope this helps!

Have a nice day<3

Answer:

b

Step-by-step explanation:

it's b if I am wrong I am sorry

Answer:

8192

Step-by-step explanation:

The answer is 8192 but in your multiple-choice problem it's [tex]2^{13}[/tex]

Hello and good day.

For this question you will use multiplication.

We know that the first same is 2 inches long and the second sample is 14 times long as the first sample.

When some thing says times, it uses multiplication, especially when mentioned in word problems.

So 14 times 2 = 28.

The answer is: The second sample is 28 inches.

28

14x2=28 bro get this right >:P

Answer:

[tex](2 {x}^{3} - 5 {x}^{2} + 8)(x + 3) \\ = (2 {x}^{4} - 5 {x}^{3} + 8x + 6 {x}^{3} - 15 {x}^{2} + 24) \\ = 2 {x}^{4} + {x}^{3} - 15 {x}^{2} + 8x + 24[/tex]

Answer:

[tex]2x^{4} + x^{3} - 15x^{2} + 8x + 24[/tex]

Step-by-step explanation:

Mark as Brainllest

Answer:

163.5 cubes

Step-by-step explanation:

Answer:

A gift box has dimensions of: 8 12 inches, 5 12 inches, and 2 12 inches, respectively. How many cubes with side lengths of 12 inches would be needed to fill the gift box?

116.875 cubes

163.5 cubes

935 cubes

1870 cubes

163.5 cubes

Step-by-step explanation:

A gift box has dimensions of: 8 12 inches, 5 12 inches, and 2 12 inches, respectively. How many cubes with side lengths of 12 inches would be needed to fill the gift box?

116.875 cubes

163.5 cubes

935 cubes

1870 cubes

163.5 cubes

Answer:

3 x 2 − 2 x -5

Step-by-step explanation:

Answer: 1/8

Step-by-step explanation:

Concept

Reciprocal is any number that is reverse to the given value. This means the original number times the reciprocal will equal 1. For a more graphical explanation, please refer to the attachment below.

Solve

8×(x)=1

x=1/8

Hope this helps!! :)

Please let me know if you have any questions