Calculate The Double Integral. ∫∫ 4x 1 + Xy DA, R = [0, 4] × [0, 1]

9514 1404 393

Answer:

  (b)  y = -5x

Step-by-step explanation:

When "y varies directly as x" the equation for that is ...

  y = kx . . . . . . . for some constant k

The value of k can be found by solving for it:

  k = y/x . . . . . . divide by x

So, the given point (x, y) = (2, -10) tells you the value of k is ...

  k = -10/2 = -5

and the direct variation equation is ...

  y = -5x

_____

Additional comments

There are a couple of other useful facts about direct variation. When you compare the equation to the slope-intercept form equation for a line, ...

  y = mx + b

you see that b=0 and the slope, or rate of change, (m) is the same as k.

The y-intercept of 0 means that the graph of any direct-variation equation must go through the origin. (If it does not, then the variation is not direct.)

Answer:

P(A) * P(B)

.25*.55

.1375

Step-by-step explanation:

P(A) * P(B)

.25*.55

The three ways to purchase a vehicle include: (1) On lease  (2) On hire purchased and (3) On cash basis

A vehicle can be purchased on the following ways:

Advantages include:

Disadvantages:

Additional expenses include

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According to the information the amount of insurance would be $66,160, the amount of coverage for personal property would be $41,350, the amount of coverage for loss of use would be $16,540 and the amount of coverage for garage would be $8,270.

To calculate the amount of each insurance we have to take into account the main value ($82,700) and the percentage of each insurance. Then, we have to calculate every percentage value as shown.

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Answer:

Step-by-step explanation:

(99)3 =

(99) x 3 =

(90 + 9) x 3 =

(90) x 3 + (9) x 3 =

90 x 3 + 9 x 3 =

270 + 27 =

297

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Evaluate (99)^3 using suitable identities.

(99)^3 = (100 - 1)^3

since, (a - b)^2 = a^3 - b^3 - 3ab (a-b)

Where,

Now,

(99)^3

=> (100)^3 - (1)^3 - 3(100)(1)(100 - 1)

=> 1000000 - 1 - 3(100)(100 - 1)

=> 1000000 - 1 - 300 (99)

=> 1000000 - 1 - 29700

=> 970299 Ans.

Answer:

The answer is 7/9

Step-by-step explanation:

Had this on my quiz one time

Answer:

7-9

Step-by-step explanation:

Given:

The terms of a sequence are:

[tex]-6,-\dfrac{11}{2},-5[/tex]

To find:

The number of terms whose sum is -25.

Solution:

We have, the given sequence:

[tex]-6,-\dfrac{11}{2},-5[/tex]

Here, the first term is -6.

[tex]-\dfrac{11}{2}-(-6)=-5.5+6[/tex]

[tex]-\dfrac{11}{2}-(-6)=0.5[/tex]

Similarly,

[tex]-5-(-\dfrac{11}{2})=-5+5.5[/tex]

[tex]-5-(-\dfrac{11}{2})=0.5[/tex]

The difference between consecutive terms are same. So, the given sequence is an arithmetic sequence with common difference 0.5.

The sum of n terms of an arithmetic sequence is:

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

Where, a is the first term, d is the common difference.

Putting [tex]S_n=-25,a=-6,d=0.5[/tex], we get

[tex]-25=\dfrac{n}{2}[2(-6)+(n-1)0.5][/tex]

[tex]-50=n[-12+0.5n-0.5][/tex]

[tex]-50=-12.5n+0.5n^2[/tex]

[tex]0=0.5n^2-12.5n+50[/tex]

Splitting the middle term, we get

[tex]0.5n^2-2.5n-10n+50=0[/tex]

[tex]0.5n(n-5)-10(n-5)=0[/tex]

[tex](0.5n-10)(n-5)=0[/tex]

Using zero product property, we get

[tex](0.5n-10)=0[/tex] and [tex](n-5)=0[/tex]

[tex]n=\dfrac{10}{0.5}[/tex] and [tex]n=5[/tex]

[tex]n=20[/tex] and [tex]n=5[/tex]

Therefore, the sum of either 5 or 20 terms is -25.

Answer:

38.13m²

Step-by-step explanation:

We find the area of ;

Rectangule and semicircle

Area of rectangle :

Length * width

Length = 8m ; width = 3m

Area = 8 * 3 = 24m²

Area of semicircle = 1/2 πr²

Radius, r = 3m

A = 1/2 * 3.14 * 3²

A = 1/2 * 3.14 * 9

A = 14.13 m²

Area of patio :

(24 + 14.13)m²

= 38.13m²

The solution to the inequality is (-∞, 4.05) .An inequality is a relationship that shows a non-equal comparison between two numbers or mathematical expressions.

Both equations and inequalities are mathematical phrases created by connecting two expressions.

The equal sign (=) in an equation denotes that the two expressions are regarded as equal.

In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >,,, or.

Given the inequality:

-3(4 – x) 6 < 9 – 2x

Solving the inequality:

(-12 + 3x)6 < 9 - 2x

-72 + 18x < 9 - 2x

20x < 81

x < 4.05

Therefore the solution to the inequality is (-∞, 4.05)

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Answer:

24

Step-by-step explanation:

You just do 6 / 1/4 = 24

Answer:

S= 76, T= 76, U= 104, R= 104

Y=104, V= 104, X= 76, W= 76

Step-by-step explanation:

Opposite Angles. Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent (equal in measure).

U and V are alternating angles

so U and  are 104

i d k the last one am so sorry

Answer:

A = 0.5 × [ sqrt(17^2 - 15^2) ] × 15 + 0.5 × [ sqrt(25^2 - 15^2) ] × 15 = 210 in^2

Answer:

136in^2

Step-by-step explanation:

Answer:

t is the independent variable of time

Step-by-step explanation:

t is the independent variable of time

Answer:

12 bananas

9 apples

18 pears

Step-by-step explanation:

You are tripling the recipe.

10 x 3 = 3

4 x 3 = 12

3 x 3 = 9

6 x 3 = 18

Answer:

12 red marbles in the bag

Answer:

[tex]m = 10\sqrt 3[/tex]

[tex]n = 10[/tex]

Step-by-step explanation:

Required

Find m and n

Considering the given angle, we have:

[tex]\sin(60) = \frac{Opposite}{Hypotenuse}[/tex]

This gives:

[tex]\sin(60) = \frac{m}{20}[/tex]

Make m ths subject

[tex]m = 20 * \sin(60)[/tex]

[tex]\sin(60) =\frac{\sqrt 3}{2}[/tex]

So, we have:

[tex]m = 20 *\frac{\sqrt 3}{2}[/tex]

[tex]m = 10\sqrt 3[/tex]

Considering the given angle again, we have:

[tex]\cos(60) = \frac{Adjacent}{Hypotenuse}[/tex]

This gives:

[tex]\cos(60) = \frac{n}{20}[/tex]

Make n the subject

[tex]n = 20 * \cos(60)[/tex]

[tex]\sin(60) =\frac{1}{2}[/tex]

So, we have:

[tex]n = 20 *\frac{1}{2}[/tex]

[tex]n = 10[/tex]

The coordinates of the midpoint of CD with endpoint at C(-7,-2) and D(-3,-5) is E(-5, -3.5)

An equation is an expression that shows the relationship between two or more variables and numbers.

Let (x, y) represent the coordinate of the midpoint E. Point E is the midpoint of CD, hence:

x = [(-7) + (-3)] / 2 = -5

y = [(-2) + (-5)] / 2 = -3.5

Therefore the coordinates of the midpoint of CD with endpoint at C(-7,-2) and D(-3,-5) is E(-5, -3.5)

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Table (x, y) equals (0, 0), (6, 3), and (12, 6) represents a linear relationship that is also proportional.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

The first option is linear but not proportional as 3 ×2 = 6 and 6×2 = 12.

By observing the given options we conclude that the third option is linear and proportional as,

6 ÷ 2 = 3 and 12 ÷ 2 = 6.

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Answer:

x=8

Step-by-step explanation

Vertical angles are always congruent which means they are equal

Since we know this we can simply set the two angle equal to each other so...

5x-5=2x+19

Now what we do is add five to 19 and subtract 2x from 5x to get

3x=24

simply divide 24 by 3 to isolate x and now we have

x=8

Hope this was helpful!

Answer:

Based on the given equation, the function g is an exponential function with base 2. The y-intercept of the function g is at (0, 4).

The graph of function f is not described, so it is not possible to accurately compare the two functions. In order to accurately compare the two functions, it would be helpful to have more information about the graph of function f, such as the vertex and any other points that the graph passes through.

Comparing the parabola's equation to the formula [tex]y = ax^2 + bx + c[/tex] in standard form is the first step. In step 2 Apply the formula h = -b/2a to find the vertex's x-coordinate. In step 3 Substitute x = h in the expression [tex]y = ax^2 + bx + c[/tex]  to obtain the vertex's y-coordinate (k).

The equation of the parabola's axis of symmetry is the vertex's x-coordinate. The axis of symmetry for a quadratic function in standard form, [tex]y = ax^2 + bx + c[/tex] is a vertical line, [tex]x=b^2a[/tex].

The intersection of two lines or rays that create an angle is known as the vertex of the angle.

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Answer:

x = 12

Step-by-step explanation:

i. 29 = 2x + 5 [The length of two tangents to a circle at the point of contact from the same external point are equal]

ii. 29 - 5 = 2x

iii. 24 = 2x

iv. x = 24/2

v. x = 12

Answer:

.45

Step-by-step explanation:

it wants u to divide 5.40 by 12

HOPE THIS HELPS CHU (≧w≦)