Work out the surface area of this solid
prism.
10cm
8cm
27cm
6cm
17cm
30cm
The diagram is not drawn to scale.

The joint density for (U, V) is given by:

                = λ^2 * v * e^(-λv/u) * |(v/u)|

The marginal density for U is given by:

fU(u) = ∫f(u,v)dv

        = ∫λ^2 * v * e^(-λv/u) * |(v/u)|dv

        = λ^2 * u * ∫ve^(-λv/u)dv

        = λ^2 * u * (-(u/λ)^2 * e^(-λv/u))|v=0 to v=∞

        = λ^2 * u * (-(u/λ)^2)

        = λ^3 * u^2

The marginal density for V is given by:

fV(v) = ∫f(u,v)du

       = ∫λ^2 * v * e^(-λv/u) * |(v/u)|du

       = λ * v * ∫e^(-λv/u) * |(v/u)|du

       = λ * v * (∫e^(-λv/u)du)|v=0 to v=∞

       = λ * v * (-(u/λ) * e^(-λv/u))|u=0 to u=∞

       = λ * v * (-1)

       = λ * v

Therefore, the joint density for (U, V) is

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Answer:

Therefore the distance between the points is 9 units.

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Hello! In this question, we will find the distance between the two given points.

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Explanation:

In this problem, we were given the points:

In order to find the distance between the two points, we will use our given information and plug it into the distance formula:

[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
In this case, our values would be:

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Solve:

Plug in the values into the formula above and solve:
[tex]d = \sqrt{(-5-4)^2+(-7-(-7))^2}\\\\d=\sqrt{(-9^)^2+(0)^2}\\\\d=\sqrt{81}\\\\\boxed{d=9}[/tex]
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Answer:

The distance between the two points would be [tex]\boxed{\text{9 units}}[/tex]

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Additional info:

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The Answers for the four parts are

a)  5-9+7-6=-3

b) -8 + 12-9-2=-7

c) 10-3-5 + 11 =13

d)  −2+2+7+8= 15

Integers come in three types:

Given:

a)  5-9+7-6

= -4 +7-6

= 3-6

=-3

So, the value of 5-9+7-6 is (-3).

b) -8 + 12-9-2

= 4-9-2

= -5-2

=-7

So, the value of -8 + 12-9-2 is (-7).

c) 10-3-5 + 11

= 7-5+11

= 2+11

=13

So, the value of  10-3-5 + 11 is (13).

d)  −2+2+7+8

= 0+7+8

= 7+8

= 15

So, the value of −2+2+7+8 is (15).

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The Translation of the Attached Question:

Solve as in the example

The length of XY in the given figure is 3 units.

same in size and form

Congruent refers to things that are exactly the same size and form. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

Congruent refers to something that is "absolutely equal" in terms of size and form. The shapes hold true regardless of how we rotate, flip, or turn them. Draw two circles with the same radius, for instance, cut them out, then stack them on top of one another.

In the above question,

According to the congruency criteria

HI=XY

Hence, Value of XY is 3 units.

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Answer: 55.6 or 55.60

Step-by-step explanation: Okay, so we have to add up all the numbers and divide by how many numbers there are, so we would add 50 + 52 + 71 (Including this outlier) + 54 + 51, to get 278. Now, since there are 5 numbers in the data set, we would divide 278 by 6, and you should get 55.6 or 55.60 (They are the same thing)

True statement is number of observations that are within or below each of the classes.

A relative frequency describes how frequently a particular kind of event happens among all observations. It is a kind of frequency that employs fractions, percentages, and proportions. The ratio of the total number of events occurring in a scenario to the number of times an event occurs is known as relative frequency. Relative Frequency = Subgroup Frequency/Total Frequency is the formula for relative frequency. A relative frequency count is a way to count how many times an event happens compared to all the other events. It can be described as a percentage. It is frequently represented as a percentage as well.

Given

The relative frequency distribution describes the number of observations that fall within each class.

Statement which is true is,

Number of observations that are within or below each of the classes.

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Answer:

$20.5

Step-by-step explanation:

Answer:

$11.0

I hope the image below explains a bit as well

I hope my answer helps you.

Answer:190 small packs and 4 cookies left over

Step-by-step explanation:

Add the boxes of cookies together 105+22=127

Multiply each box by 12

127 x 12=1524

Because we need to put them into smaller packs of 8 cookies

we need to divide by 8

1524÷8=190 small boxes

This is a total of 190 x 8=1520 cookies there are 4 cookies left over

Angle XWZ is a right angle if line WY is an altitude in triangle WXZ.

In planar geometry, an angle is a shape made up of two rays or lines that share an endpoint. The Latin word "angulus," which means "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. A geometrical shape called an angle is created by connecting two rays at their termini. In most cases, an angle is expressed in degrees. In geometry, there are several different kinds of angles.

Given,

Triangle W X Z is shown. On side ZX, an altitude is drawn at a right angle from point W to point Y. The angles ZWY and WXY are congruent.

ΔYWZ ~ ΔYXW

Angle XWZ is a right angle is true about Angle XWZ.

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Answer:Angle XWZ is a right angle if line WY is an altitude in triangle WXZ.

Step-by-step explanation:

Got it right on edge

Answer:

Both e and h and a and c

Step-by-step explanation:

e and h are corresponding angles on a transversal. Lines are parallel when the corresponding angles of a transversal have the some degree of measure

Same goes for a and c

e and g are not because g doesn't correspond to e because g is in 2 transversals.

Answer:

tan θ = 24/7

Angle F = tan⁻¹(24/7) = 73.7° (1 d.p.)

Step-by-step explanation:

tan θ = Opposite/Adjacent

Opposite side is the side opposite angle θ

Adjacent side is the side next to the right angle and the angle θ

θ = Angle F

tan θ = 24/7

Angle F = tan⁻¹(24/7) = 73.7 (1 d.p.)

Answer:

30 = 27 __ 3 x 9 = 54

81 / __9 = 9

2 = __4 / 8

58 x __6 = 32

72 / __8 = 9

7* __7 = 49

Step-by-step explanation:

The general formula for the relationship amount of medication, A, that remains in your bloodstream is inversely proportional to the number of minutes is a) A = k/t.

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.

We know we can write y is inversely proportional to x as,

y ∝ 1/x.

y = k/x, where k is the constant of proportionality.

Therefore, The amount of medication, A, that remains in your bloodstream is inversely proportional to the number of minutes, t can be written as,

A = k/t.

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Answer:

input: n

output: 15

Step-by-step explanation:

⭐What is a linear function?

⭐To find the output that corresponds to n, we can:

⭐Remember:

Answer:

[tex](x-2)[/tex]

Step-by-step explanation:

[tex]f(2)=-40 \\ \\ f(-8)=0 \\ \\ f(3)=0 \\ \\ f(-2)=0[/tex]

By the factor theorem, [tex](x-2)[/tex] is not a factor.

Step-by-step explanation:

I and somebody else answered this already. how often did you post this ?

Answer:

D) Obtuse triangle

Step-by-step explanation:

Obtuse triangles have an angle greater than 90 degrees, and this triangle has an angle of 105.

Answer:

(C) Square root of 80

Step-by-step explanation:

4²=16

16x5=80

Answer: ≈75.4 inches

Step-by-step explanation:

C=2πr

Step 1) Half of the diameter is the radius, and 2 feet equals 24 inches, so 24÷2= a radius of 12 inches

Step 2) Plug the radius into the equation: C=2π(12)=75.4 inches

Answer: 5

Step-by-step explanation:

If you plug 5/33 into a calculator (or just solve with long division), you'll find that it makes 0.151515... (with 15 repeating forever.)

In every EVEN decimal place there's a 5, but in every ODD decimal place there's a 1. (The first decimal place is 1, the second is 5, etc.)

Since 92 is an even number, there is a 5 in the 92nd decimal place.

Answer:

x ≥ 2.3

Step-by-step explanation:

Product means multiplication

10x ≥ 23  Divide both sides by 10

x ≥ 2.3

Answer:

The tightened spot is 10 feet away from the foot of the pole.

Step-by-step explanation:

1. Draw the diagram. Notice that the shape of the electric pole and its supporting wire creates a right triangle.

2. We know 2 side lengths already (26ft, 24ft), and we need to find 1 more side length. Therefore, to find the 3rd side length of a right-triangle, utilize Pythagoras' Theorem.

⭐What is the Pythagoras' Theorem?

3. Substitute the values of the side lengths into the equation, and solve for the unknown side length.

Let B= the distance from the tightened spot to the foot of the pole.

[tex](C)^2 = (A)^2 + (B)^2[/tex]

[tex]26^2 = 24^2 + B^2[/tex]

[tex]676 = 576 + B^2[/tex]

[tex]100 = B^2[/tex]

[tex]\sqrt{100} = \sqrt{(B)^2}[/tex]

[tex]10 = B[/tex]

∴ The tightened spot is 10 feet away from the foot of the pole.

Diagram:

Answer:

formula

= Pmt [(1 + i/n)^nt - 1] / (i/n)

answer in picture hihi ^_^

Step-by-step explanation:

The value of b is 18 that will cause equation 27x² + bx + 3 = 0 to have real solution.

A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.

The standard form of a quadratic equation is ax² + bx + c = 0.

Where a, b and c are constants.

The given equation is,

27x² + bx + 3 = 0.

Compare the given equation from the standard quadratic equation

ax² + bx + c = 0

Compare both the equations,

a = 27, b = b , c = 3

To find the real solution of the quadratic equation,

Substitute discriminant of the equation equal to zero.

D = 0

b² - 4ac = 0

b²  - 4 x 27 x 3 = 0

b²  = 4 x 81

b  = 2 x 9

b = 18.

The required value of b for the given equation is 18.

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Answer:

x = 16.5

Step-by-step explanation:

the ratio of similarity is the ratio of corresponding sides, that is

ratio = [tex]\frac{18}{12}[/tex] = [tex]\frac{15}{10}[/tex] = 1.5

Then

[tex]\frac{x}{11}[/tex] = 1.5 ( multiply both sides by 11 to clear the fraction )

x = 16.5

By solving a linear inequation, it can be calculated that

The values that are solutions are

x= -2 and x= -8

What is linear inequation?

Inequation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by >, <, ≥, ≤

A one degree inequation is known as linear inequation.

Here the inequation is  7x + 6 < 3x + 2

7x + 6 < 3x + 2

7x - 3x < 2 - 6

4x < - 4

x < [tex]-\frac{4}{4}[/tex]

x < -1

So the values that are solutions of the inequation are

x=-2 and x=-8

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Answer:

y(x) = integral(6 c^2 - 20 x^3)/(5 x^2 + 3) dx = -2 x^2 + 1/5 log(5 i x + sqrt(15)) (-i sqrt(15) c^2 + 6) + 1/5 log(-5 i x + sqrt(15)) (i sqrt(15) c^2 + 6) + k_1, where k_1 is an arbitrary constant.

Step-by-step explanation:

Rewrite the equation to -((6 c^2 - 20 x^3) dx)/(3 + 5 x^2) + dy = 0 and solve

Solve (dy(x))/(dx) = (6 c^2 - 20 x^3)/(5 x^2 + 3):

Integrate both sides with respect to x:

Answer: y(x) = integral(6 c^2 - 20 x^3)/(5 x^2 + 3) dx = -2 x^2 + 1/5 log(5 i x + sqrt(15)) (-i sqrt(15) c^2 + 6) + 1/5 log(-5 i x + sqrt(15)) (i sqrt(15) c^2 + 6) + k_1, where k_1 is an arbitrary constant.