write the perimeter of the triangle as a simplified expression y+64y-22yt1

The divergence of the vector field F = ⟨z, y, x⟩ can be found by taking the partial derivatives of each component with respect to its corresponding variable and summing them up.

Let's denote the partial derivative with respect to x as ∂/∂x, y as ∂/∂y, and z as ∂/∂z. Then the divergence (div(F)) is given by:

\(\[\text{div}(F) = \frac{\partial}{\partial x}(x) + \frac{\partial}{\partial y}(y) + \frac{\partial}{\partial z}(z).\]\)

Taking the partial derivatives, we get:

\(\[\text{div}(F) = 1 + 1 + 1 = 3.\]\)

(b) The Divergence Theorem states that for a vector field F and a closed surface S bounding a region in space, the flux of F through S is equal to the triple integral of the divergence of F over the enclosed region. In this case, the surface S is the solid sphere defined by \(x^2 + y^2 + z^2\) ≤ 36.

To evaluate the flux of F through S, we need to compute the triple integral of the divergence of F over the region enclosed by S. Since the divergence of F is constant and equal to 3, the triple integral simplifies to:

\(\[\iiint\limits_V \text{div}(F) \, dV = \iiint\limits_V 3 \, dV,\]\)

where V represents the region enclosed by S.

To sketch the region of integration, visualize a solid sphere centered at the origin with a radius of 6 (since \(x^2 + y^2 + z^2\) ≤ 36). The region of integration encompasses the volume inside this sphere.

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Answer:

=======================

From the ratios we see both a and b are greater than c.

Let's find the smaller of the two, which is the median when the numbers are ordered.

Compare the fractions:

or

As per above, the median is a, which is 80.

Find the value of c:

Find b:

Answer:

3/2

Step-by-step explanation:

The selling price is approximately $30.69. The correct option is a: $30.69.

To find the selling price, we need to calculate the markup amount and add it to the cost price.

The markup percentage is 35% based on the selling price. Let's calculate the markup amount first:

Markup amount = 35% of selling price

Let the selling price be S.

Markup amount = 0.35 × S

The cost price of the toaster to the appliance store is $19.95.

Selling price = Cost price + Markup amount

S = $19.95 + Markup amount

S = $19.95 + 0.35 × S

Now, we can solve this equation to find the selling price:

0.65 × S = $19.95

S = $19.95 / 0.65

S ≈ $30.69

Therefore, the selling price is approximately $30.69.

The correct option is a: $30.69.

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Answer:

  264 cm²

Step-by-step explanation:

You want the area of a polygon composed of a 12 cm square with triangles of height 5 cm attached to each side.

The area of the square is the square of its side lenght:

  A = s²

  A = (12 cm)² = 144 cm²

The area of the four triangles is ...

  A = 4 × (1/2bh)

  A = 4 × 1/2(12 cm)(5 cm) = 120 cm²

The total area of the composite figure is ...

  A = square area + triangle area

  A = 144 cm² +120 cm² = 264 cm²

The area of the polygon is 264 cm².

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Answer:

878

Step-by-step explanation:

that is because i know what i am doing.

Answer:

4

Step-by-step explanation:

first you add

-6 + -2 = -8

then you devide

2÷-8 = 4

Subtract the part from the total:

102.50 - 15 = 87.50

Now divide the remainder by rate:

87.50 / 25 = 3.5 hours

The heights of the bars of a histogram correspond to Frequency values.

A histogram is a type of graph used to show the distribution of a dataset. It is used to display the frequency of values within the data set by depicting the number of observations that fall within a set of ranges.

The heights of the bars of a histogram correspond to the frequency of values within the data set.

A histogram is used to illustrate the distribution of data within a set by showing the number of data points that fall within a specified range of values (called bins).

The height of each bar in the histogram represents the frequency of values within the bin range. A taller bar indicates that more data points fall within that range. The area of each bar is also proportional to the frequency of the values in the bin.

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\((\stackrel{x_1}{8}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{(-3)}}}{\underset{\textit{\large run}} {\underset{x_2}{10}-\underset{x_1}{8}}} \implies \cfrac{7 +3}{2} \implies \cfrac{ 10 }{ 2 } \implies 5\)

Answer:

hope this will help you thank you

it can be also written as 1/5x-5

Answer:

4x = 5

Step-by-step explanation:

Given:

4x - 2 = 3

Add 2 on both sides.

4x = 5

Answer:

Step-by-step explanation:

4x - 2 = 3

    +2    +2

4x = 5

Answer:

factoring (2x−1)(2x+5)

simplify =4x2+8x−5

Step-by-step explanation:

The speed of one rocket relative to the other is approximately 0.986 times the speed of light (c).

To determine the relative velocity between the two rockets, we'll use the relativistic velocity addition formula. Let's assume that the rockets are traveling in the same direction, so one is approaching the other.

The relativistic velocity addition formula is given by:

v' = (v1 + v2) / (1 + v1*v2/c²)

Where:

v' is the relative velocity between the two rockets,

v1 is the velocity of one rocket relative to the Earth's reference frame,

v2 is the velocity of the other rocket relative to the Earth's reference frame, and

c is the speed of light in a vacuum.

In this case, both rockets are traveling at 0.85c in the Earth's reference frame, so v1 = v2 = 0.85c.

Substituting these values into the formula, we have:

v' = (0.85c + 0.85c) / (1 + (0.85c)*(0.85c)/c²)

= (1.7c) / (1 + 0.7225)

= 1.7c / 1.7225

≈ 0.986c

Therefore, the speed of one rocket relative to the other is approximately 0.986 times the speed of light (c).

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Answer:

f(x) = 4x -9

Step-by-step explanation:

The slope-intercept form is f(x) = mx + b, where m is the slope and b is the y-intercept.

First, we need to find the slope, m.

=  \(\frac{-5-(-17)}{1-(-2)}\)

= \(\frac{12}{3}\)

= \(4\)

m = 4, and now we plug it into the equation, using any given point, (1,-5) in this case.

f(x) = 4x + b

(-5) = 4(1) + b

-5 = 4 + b

b = -9

Now we find the equation: f(x) = 4x -9, and if we plug (-2,-17) in, we should get the same number as if we plug in (1,-5).

Answer:Kathy uses 1.72 pint of white paint

Step-by-step explanation:

Total amount of paint ( Blue and white paint)= 8.6 pints

Amount of  blue paint=4/5 x 8.6 = 6.88 Pints

amount of white paint = Total amount of paint - amount of blue  paint

= 8.6 pints - 6.88 pints

=1.72 pint of white paint

Answer:274707

Step-by-step explanation:

Answer:

90 - 68.5

= 21.5

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

yeah its C. composed and ejected

Step-by-step explanation:

i took the test :) edge 2022

Answer:

546

Step-by-step explanation:

Surface Area = 2(lw + lh + wh)

plug in l w and h

The reflexive closure of a relation on a set is the smallest reflexive relation that contains the original relation. In other words, it is the addition of pairs that ensure every element in the set is related to itself. To form the reflexive closure, we need to add pairs that relate each element in the set to itself.

To form the reflexive closure of relation r on the set {0, 1, 2, 3}, we need to add ordered pairs that ensure every element in the set is related to itself. In other words, we need to add pairs of the form (x, x) for each element x in the set that is not already present in relation r.

In this case, the reflexive closure of relation r would require adding the following ordered pairs: (0, 0), (1, 1), (2, 2), and (3, 3). These pairs ensure that every element in the set {0, 1, 2, 3} is related to itself, making the relation reflexive. These pairs ensure that every element is related to itself, satisfying the reflexivity property.

By adding these additional ordered pairs, we have modified relation r to include reflexivity, as every element now has a direct relation to itself in the set.

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The area of the sector is 72f

The given parameters are:

Angle = f

Diameter = 24

Start by calculating the radius

r = Diameter/2

r = 24/2

r = 12

The area of the sector is

A = (θ/2) × r^2

So, we have

A = (f/2) * 12^2

Evaluate

A = 72f

Hence, the area of the sector is 72f

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The school has a total enrollment =  2900.

Total percent of students' ages is equal to 100.

Present students = 94%

Absent students = (100 – 94) = 6%

Let's say that 6% of x =1741006 x=174 x=1746100 x=29100=2900 are enrolled in school.

The school has a total enrollment of 2900.

A probability distribution that demonstrates that the likelihood of success is constant across trials is known as a: Uniform probability distribution

In uniform probability distributions, the likelihood of each possible outcome happening or not is the same. This property means that, for any given trial, the probability that an event will be successful does not change. Take the probability of rolling a 5 on a die for instance, no matter how many trials are performed, there is always a 1 in 6 probability for each trial.

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Answer:

x = 27°, ∠JLK = 55°

Step-by-step explanation:

From the diagram in the question above,

The exterior angle of a triangle is equal to the sum of the two opposite side

3x+13 = 39+(2x+1)

3x+13 = 40+2x

collect like terms and solve for x

3x-2x = 40-13

x = 27°.

∠JKL = 2x+1

Substitute the value of x

∠JKL = 2(27)+1

∠JKL = 54+1

∠JKL = 55°

Answer:

x = 8

Step-by-step explanation:

from the diagram

∠ CXD + ∠ DXE = ∠ CXE ( substitute values )

x² - 4 + 2x - 10 = 7x + 10

x² + 2x - 14 = 7x + 10 ( subtract 7x + 10 from both sides )

x² - 5x - 24 = 0 ← in standard form

(x - 8)(x + 3) = 0 ← in factored form

equate each factor to zero and solve for x

x - 8 = 0 ⇒ x = 8

x + 5 = 0 ⇒ x = - 5

but x > 0 , then x = 8

a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

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C. True, because to use the Law of Sines, at least two sides must be known.

The Law of Sines is a trigonometric rule that relates the sides and angles of any triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.

To use the Law of Sines, at least two sides and the angle opposite one of them (or two angles and one side) must be known.

Therefore, the statement "The Law of Sines can be used to solve triangles where three sides are known" is false, as it is not necessary to use the Law of Sines to solve a triangle where all three sides are known.

In summary, the correct answer is C. True, because to use the Law of Sines, at least two sides must be known.

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Answer:

i say answer c

Step-by-step explanation:

Answer:

X = \(-5\frac{2}{3}\)

Step-by-step explanation:

X + 2/3 = -5

X = \(-5\frac{2}{3}\)