Practice
In the figure, a || 6. What is the value of x?

Answer:

88/27 or 3 7/27  in^2

Step-by-step explanation:

Multiply the length and width together:

2 2 /3 times 1 2 /9

We could either convert these measurements to improper fractions and then multiply, or we could use a calculator:  2+(2/3) ENTER x (1 + 2/9) ENTER.

Result:  3.259 in^2 (approximately) or 88/27 in^2 (exact answer)

Answer:

When adding up the side lengths given, you get 35

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]

Step-by-step explanation:

For 18:

[tex] {10}^{2} + {y}^{2} = {26}^{2} \\ 100 + {y}^{2} = 676 \\ {y}^{2} = 676 - 100 \\ {y}^{2} = 576 \\ y = \sqrt{576} \\ y = 24 \: in[/tex]

For 19

[tex] {10}^{2} + {( \frac{15}{2}) }^{2} = {c}^{2} \\ 100 + \frac{225}{4} = {c}^{2} \\ \frac{625}{4} = {c}^{2} \\ c = \sqrt{ \frac{625}{4} } \\ c = \frac{25}{2} \\ c = 12.5 \: m[/tex]

Answer:

make shur your using fractions

54 60

x   100 cross multiply

54(100)   60(x)

5400          60x

divided both by 60

5400/60    60/60

90                   1

= $90

then you go

54  60

90  100

and use a caculater to see if your answer is coorect

you just fowllow the steps to see if you get 90

Step-by-step explanation:

use me as a like button for this question lol

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

Using Cramer's rule, the value of x is ...

  [tex]x=\dfrac{\left|\begin{array}{cc}2&3\\22&-2\end{array}\right|}{\left|\begin{array}{cc}-1&3\\4&-2\end{array}\right|}[/tex]

  x = ((2)(-2) -(22)(3))/((-1)(-2) -(4)(3)) = (-4-66)/(2-12) = -70/-10

  x = 7

Answer: 10.4m

Step-by-step explanation:

Answer:first one

Step-by-step explanation:

Answer: 25=75  3 =15  15 =5

Step-by-step explanation:

Answer:

1 - 75

3 - 25

5 - 15

Step-by-step explanation:

Hope this helps! Please brainliest!

Answer:

Private Jet = 181 mph      Commercial Jet = 362 mph

Step-by-step explanation:

private jet           travels distance D in 14 hours

commercial jet   travels distance D in 7 hours      

so commercial jet speed is twice the private jet

                    y   =  2x

commercial jet speed = 3 · (private jet speed) - 181 mph

               y  =   3x - 181

                        2x = 3x  - 181

                2x - 3x  = -181

                       -x   =  -181

                         x  =   181

                      y   =  2x

                      y   =   362

          362  =  3(181)  - 181

Answer:

Step-by-step explanation:

Answer:

[tex](-2,8)[/tex]    [tex](7,5)[/tex]      [tex](1,7)[/tex]

Step-by-step explanation:

Given

[tex]x + 3y = 22[/tex]

Solving (a): The possible coordinates

We have:

[tex](x,y) = (-2,8)[/tex]

This gives:

[tex]x + 3y = 22 \to -2 + 3 * 8[/tex]

[tex]x + 3y = 22 \to -2 + 24[/tex]

[tex]x + 3y = 22 \to 22[/tex]

(-2,8) is a point on the grid

[tex](x,y) = (7,5)[/tex]

This gives:

[tex]x + 3y = 22 \to 7 + 3 * 5[/tex]

[tex]x + 3y = 22 \to 7 + 15[/tex]

[tex]x + 3y = 22 \to 22[/tex]

(7,5) is a point on the grid

[tex](x,y) = (-5,5)[/tex]

This gives:

[tex]x + 3y = 22 \to -5 + 3 * 5[/tex]

[tex]x + 3y = 22 \to -5 + 15[/tex]

[tex]x + 3y = 22 \to 10[/tex]

(-5,5) is a not point on the grid

[tex](x,y) = (1,3)[/tex]

This gives:

[tex]x + 3y = 22 \to 1 + 3 * 3[/tex]

[tex]x + 3y = 22 \to 1 + 9[/tex]

[tex]x + 3y = 22 \to 10[/tex]

(1,3) is a not point on the grid

[tex](x,y) = (1,7)[/tex]

This gives:

[tex]x + 3y = 22 \to 1 + 3 * 7[/tex]

[tex]x + 3y = 22 \to 1 + 21[/tex]

[tex]x + 3y = 22 \to 22[/tex]

(1,7) is a point on the grid

So, we plot the following on the grid

[tex](-2,8)[/tex]    [tex](7,5)[/tex]      [tex](1,7)[/tex]

See attachment

Answer

b

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

whole numbers are higher than 10, nutural numbers are like 1 2 3 4 5 while integers are like fractions

what question? where is the question???????????????????????????????????????????????????

Answer:

-9/4 divide (-2/3)

Step-by-step explanation:

Answer:

8 lakhs = 8,00,000

Step-by-step explanation:

770000

=> 7,70,000

=> 7.7 lakhs

7.7 lakh rounded to the nearest lakh = 8 lakhs and it is Rounded Up

Hope it helps :)

Question Completion:

Suppose that

H subscript o : mu less or equal than 0.01

H subscript alpha : mu greater than 0.01

The value 0.01 is the maximum safe level of some naturally occurring lethal pollutant in drinking water for human consumption. You need to decide if you will use water coming from a specific source for one of the beverages your company produces, based on sample measures of this pollutant taken in random different locations and times at the source of water. In this case you would want to _____.

A. maximize the power of the test

B. maximize beta

C. minimize mu

D. maximize the significance, alpha

E. maximize 1 minus alpha

Answer:

In this case you would want to _____.

D. maximize the significance, alpha

Step-by-step explanation:

The alpha (α) denotes the significance level or the probability of rejecting the initial or null hypothesis when it is true.

A higher alpha (α) reduces the probability of committing a Type II error or not rejecting the null hypothesis. On the other hand, a higher alpha (α) makes it more probable to  reject a null hypothesis when it is true (Type I error).

Answer:

b+c+h=50

Step-by-step explanation:

Its the first one because you need to have the same amount of hats as cupcakes cause the hat really stands for people.

Answer:

106.2

Step-by-step explanation:

First, Multiply 6 and 2.3

6x2.3= 13.8

Once you found your product, add 13.8 and 3.9

13.8+3.9= 17.7

x = -3

So to figure this out we can readjust the equation to make it easier to solve

[tex]f(x) = x + 9[/tex] is equal to [tex]x+9 = 6[/tex]

From here we can just subtract 9 from both sides and we get our answer!

[tex]x+(9-9) = (6-9)\\x = -3[/tex]

The number 9.636363 is rational

Answer:

Step-by-step explanation:

we need the arc length formula . it's Arc length = 2πr (θ/360)

Arc length = 2π5 (144/360)

Arc length = 12.56637 cm  

Answer:

Protractor measures degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

60 *15%= 9

60 - 9 = 51

the discounted watch cost

$51.00

Answer:

A.) ŷ = 0.73986X + 18.98921

B.) 80

C.) r = 0.9205

Step-by-step explanation:

Given :

1st test grade (X) :

98

77

88

80

96

61

66

95

69

final average (Y) :

93

78

84

73

84

64

64

95

76

Using a linear regression calculator :

The model obtained is :

ŷ = 0.73986X + 18.98921

Student with x = 83

ŷ = 0.73986(83) + 18.98921

ŷ = 80.39759

ŷ = 80 (nearest whole number)

The R value is : 0.9205 which shows that there is a strong linear correlation between the first test grade and the final average a student Obtian in an exam because the r value is very close to 1.

R² = √0.9205 = 0.8473 ; this means about 84.73% of variation in final average can be explained by the regression line.

Answer:

X should equal 65, sorry if I’m wrong

Step-by-step explanation: