which of the following are true of AB given A(9, 5) and B(15, 2)? select all that apply

The solution is: the approximate surface area of the cone is 103.6 in², which is closest to option (B).

To find the exact surface area of the cone, we need to know the slant height of the cone. Since we are not given the slant height, we can use the Pythagorean theorem to find it:

Slant height² = h² + r²

Slant height² = 4² + 3²

Slant height² = 16 + 9

Slant height² = 25

Slant height = 5

Now that we know the slant height, we can use the formula for the surface area of a cone:

Surface area = πr² + πr×s

where s is the slant height

Surface area = π(3²) + π(3)(5)

Surface area = 9π + 15π

Surface area = 24π

Therefore, the exact surface area of the cone is 24π square units.

The surface area of a cone is given by:

Surface area = πr² + πr×s

where r is the radius of the circular base and s is the slant height.

We are given that the diameter of the circular base is 6 inches, so the radius is 3 inches. We are also given that the slant height is 8 inches. Using these values, we can calculate the surface area of the cone:

Surface area = π(3²) + π(3)(8)

Surface area = 9π + 24π

Surface area = 33π

We can approximate π as 3.14, so:

Surface area ≈ 33(3.14)

Surface area ≈ 103.62

Therefore, the approximate surface area of the cone is 103.6 in², which is closest to option (B).

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complete question:

PLEASE ANSWER THESE QUESTIONS THROUGHLY FOR BRAINLIEST!!

1.)

In this figure, h = 4, and r = 3.

What is the exact surface area of the cone?

(picture inserted below!!!!)

2.)

The diameter of a cone's circular base measures 6 inches, and the slant height of the cone is 8 inches.

What is the approximate surface area of the cone?

94.2 in²

103.6 in²

131.9 in²

257.5 in²

3.)

The slant height of a cone measures 15 centimeters. The height of the cone measures 12 centimeters.

What is the exact surface area of the cone?

4.)

The radius of the circular base of a cone measures 1.6 inches, and its slant height measures 2.5 inches.

What is the approximate lateral area of the cone?

Use π≈3.14.

round to the nearest tenth.

5.) The area of the circular base of a cone is 9π cm², and the slant height of the cone is four times the radius of the cone.

What is the approximate lateral area of the cone?

Use π≈3.14.

round to the nearest whole number.

The probability flipping of four coin that will give head is 0.93

Probability:

In statistics, Probability defines the possible way of occurring a particular event.

Given,

A flipped coin can land in one of two states: heads or tails.

Here we need to find the probability while flipping four coins then  how many of these coins land in the heads state.

In order to calculate the probability of these event, we have to know the values of the sample space and the possible number of events,

Here the value of sample space is written as,

S = {HHHH, TTTT, HHHT, HHTH, HTHH, THHH, HHTT, HTTH, HTHT, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH}

So, the value of n(S) = 16

The possible number of way to obtain the head state is,

E = {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTTH, HTHT, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH}

the value of n(E) = 15.

Therefore, the probability of getting head state is

=> P(E) = 15/16

=> P(E) = 0.93

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When solving proportions, we set the cross products equal, and then we solve for the unknown variable.

When solving proportions, we set the cross products equal to each other and then proceed to solve for the unknown variable. A proportion is an equation that states that two ratios or fractions are equal. To solve a proportion, we first identify the two ratios involved and set their cross-products equal.

For example, consider the proportion: a/b = c/d

To solve for the unknown variable, we set the cross products (a * d) and (b * c) equal:

a * d = b * c

This equation allows us to find the value of the unknown variable by manipulating the equation through multiplication or division to isolate the variable on one side of the equation.

By setting the cross products equal, we essentially establish an equality between the two ratios, indicating that the fractions on either side of the proportion are equivalent. Solving for the unknown variable allows us to determine its value based on the relationship between the given ratios.

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The required answer is the value of tan(2) is approximately -2352/3669.

To evaluate the expression under the given conditions, we will first determine the value of sin() using the Pythagorean identity and then use the double-angle formula for tan(2).
A Quadrant is circular sector of equal one quarter of a circle ,or  a half semicircle. A sector of two-dimensional cartesian  coordinate system.  The Pythagorean identity, are useful expression involving the function need to simplified.

Given: cos() = 7/25, and is in Quadrant I.
Step 1: Find sin()
Since we are in Quadrant I, sin() is positive. Using the Pythagorean identity, sin^2() + cos^2() = 1, we can find sin().
sin^2() + (7/25)^2 = 1
sin^2() = 1 - (49/625)
sin^2() = (576/625)
sin() = √(576/625) = 24/25

we  are called the Pythagorean identity is  Pythagorean trigonometric identity, is expression A to B .

The same value for all variables within certain range. Angle is double or multiply by 2 so we called double- angle.

Step 2: Find tan(2) using the double-angle formula
The double-angle formula for tangent is: tan(2) = (2 * tan()) / (1 - tan^2())
First, we find tan():
tan() = sin() / cos() = (24/25) / (7/25) = 24/7
Now, use the formula for tan(2):
tan(2) = (2 * (24/7)) / (1 - (24/7)^2)
tan(2) = (48/7) / (1 - 576/49)
tan(2) = (48/7) / ((49 - 576) / 49)
tan(2) = (48/7) * (49 / (-527))
tan(2) = (-2352 / 3669)
So, under the given conditions, the value of tan(2) is approximately -2352/3669.

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If both the upstairs and downstairs switches are in the up position, the light will be off

The given parameters are

Switches = 2 i.e. top and bottom

Also, we have:

When the upstairs switch is up and the downstairs switch is down, the light is turned on.

This means that the light is only on when the upstairs switch is up and the downstairs switch is down

Any other position of the switches, the light is off

From the question, we have

Both the upstairs and downstairs switches are in the up position

This is different from the required position to on the light

Hence, the light will be off

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The image is missing, we have attached the image.

Answer: The of getting an even number in first and an odd number second is 1/4 or 0.25

Step-by-step explanation:

Given,

Total number of outcomes = 36

We have to find the probability of rolling an even number first and an odd number second.

Solution,

Firstly we will find out the possible outcomes;

(2,1)(2,3)(2,5)(4,1)(4,3)(4,5)(6,1)(6,3)(6,5)

So the total number of outcomes = 9

Now according to the formula of probability, which is;

P(E)= total number of possible outcomes/total number of outcomes

Now on putting the values, we get;

P(of getting an even number in first and an odd number second)= 9/36 = 1/4 =0.25

Hence The of getting an even number in first and an odd number second is

1/4 or 0.25.

Hope this help

Answer:

1/4

Step-by-step explanation:

The pick-up rate in this scenario would be 80%. This is calculated by dividing the number of rooms occupied (160) by the number of rooms reserved (200), and then multiplying by 100 to get a percentage. So, (160/200) x 100 = 80%. This means that 80% of the reserved rooms were ultimately occupied.

It's important to note that a pick-up rate of 80% is generally considered to be a good result in the hospitality industry. It indicates that the hotel was able to accurately predict the number of rooms that would be needed by the groups, and that the groups themselves followed through on their reservations. A lower pick-up rate could suggest that the hotel overestimated demand, or that some of the groups cancelled their bookings at the last minute. On the other hand, a higher pick-up rate could indicate that the hotel was too conservative in its initial estimates, or that some of the groups requested additional rooms after the initial reservation was made. Ultimately, the pick-up rate is a useful metric for assessing the accuracy of a hotel's forecasting and planning processes.

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It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

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Answer:d

Step-by-step explanation:

Answer:

A. i think

Step-by-step explanation:

Answer:

4, -16, 64, -256

the common ratio is -4

Step-by-step explanation:

1. Solving for t in terms of a, b, and c by completing the square. Given 2+ bt + c = 0, solve for t in terms of a, b, and c by completing the square. (Hint: You will derive the quadratic formula as the solution.)Since the formula is in the form at2 + bt + c = 0, the quadratic formula is useful for solving it, which is: t = (-b ± sqrt(b2 - 4ac)) / 2a.

Plugging in values for a, b, and c, we have: t = (-b ± sqrt(b2 - 4ac)) / 2a and t = (-b ± sqrt(b2 - 4ac)) / 2(2).Simplifying, we obtain t = (-b ± sqrt(b2 - 4ac)) / 2a and t = (-b ± sqrt(b2 - 4ac)) / 4.2. Solving for t using the quadratic formulaGiven 3t2 + 4t + 12 = 0, solve for t using the quadratic formula. (Hint: Simplify the final answers as much as you can, but leave them exact in terms of square roots.

Do not expand to decimal approximations.)The quadratic formula is t = (-b ± sqrt(b2 - 4ac)) / 2a.We have a = 3, b = 4, and c = 12 when plugging into the quadratic formula.t = (-4 ± sqrt(42 - 4(3)(12))) / 2(3)t = (-4 ± sqrt(-80)) / 6t = (-4 ± 4i*sqrt(5)) / 6Where i is the imaginary unit, which is sqrt(-1).3. Finding its derivative function and its second derivative functionGiven the function x(t) = 4t2 + 3t + 1, find its derivative function v(t) = dt / dx (t) and its second derivative function a(t) = dt / dv (t) = dt2 / d2 x (t).

We can differentiate x(t) term by term to obtain v(t) = 8t + 3.To find a(t), we can differentiate v(t) to obtain a(t) = 8, which is constant and does not depend on t. 4. Graphing each function Graph of x(t) = 4t2 + 3t + 1:  Graph of v(t) = 8t + 3: Graph of a(t) = 8:

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To determine the number of smaller boxes that would contain the same amount of cereal as a larger box, we set the expressions representing the cereal content equal to each other. Solving the equation, we find that 15 smaller boxes are required to match the cereal quantity in the larger box.

To find the number of smaller boxes that equal the same amount of cereal in a larger box, we need to equate the two expressions and solve for n.

Setting the expressions equal to each other:

10 + 6.3n = 7 + 6.5n

Simplifying the equation:

6.3n - 6.5n = 7 - 10

-0.2n = -3

Dividing both sides by -0.2:

n = -3 / -0.2

n = 15

Therefore, 15 smaller boxes would equal the same amount of cereal as the larger box.

The problem states that the expressions 10 + 6.3n and 7 + 6.5n represent the amount of cereal in the new larger box. The variable n represents the number of smaller boxes.

To find how many smaller boxes are equivalent to the larger box, we need to set the two expressions equal to each other and solve for n. This equation represents the balance between the amount of cereal in the larger box and the combined amount of cereal in the smaller boxes.

By simplifying the equation and solving for n, we find that 15 smaller boxes are needed to equal the same amount of cereal as the larger box.

This means that if the cereal manufacturer wants to package the same amount of cereal as the larger box, they would need to use 15 smaller boxes instead. This calculation helps the manufacturer determine the number of smaller boxes needed to maintain the same quantity of cereal while changing the box size.

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It can be stated that there exist 63,360 ternary sequences of digits selected from {0, 1, 2} with a length of twelve, which contain precisely three 1s and two 0s.

The problem is asking us to find out how many ternary sequences of digits are there that are chosen from {0, 1, 2} of length twelve, and have exactly three 1's and two 0's.

Therefore, there will be a total of 7 digits (12 - 3 - 2 = 7) that could be 1 or 2. So, let's solve it in steps.

Step 1: The number of ways we can choose 3 positions out of 12 for 1s is C (12,3).

Step 2: The number of ways we can choose 2 positions out of 9 (because there are already 3 1s and 2 0s) for 0s is C (9,2).

Step 3: We have three digits left that can be either 1 or 2. So, there will be 2 options for each of these digits, and the total number of options will be

2 × 2 × 2 = 8.

Step 4: So, the total number of sequences will be obtained by multiplying the results of Steps 1, 2, and 3. i.e.

C (12,3) × C (9,2) × 8

⇒ ¹²C₃ × ⁹C₂ × 8

⇒ 220 × 36 × 8 = 63360.

Therefore, there are 63,360 ternary sequences of digits chosen from {0, 1, 2} of length twelve that have exactly three 1s and two 0s.

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We do not have enough evidence to conclude that the die is unfair based on the observed data.

Null hypothesis (H₀): The die is fair, and the probability of obtaining a 5 or 6 on each roll is 1/3.

Alternative hypothesis (H₁): The die is not fair, and the probability of obtaining a 5 or 6 on each roll is different from 1/3.

We can use the binomial distribution to calculate the probability of obtaining 106,602 or more 5s or 6s in 315,672 rolls, assuming the die is fair.

The probability of obtaining a 5 or 6 on each roll is 1/3.

The expected number of 5s or 6s in 315,672 rolls would be (1/3) × 315,672 = 105,224.

Now, we need to calculate the probability of observing 106,602 or more 5s or 6s, assuming the die is fair.

We can use the cumulative probability function of the binomial distribution for this calculation.

We find that the probability of observing 106,602 or more 5s or 6s, assuming the die is fair, is 0.077 (or 7.7%).

The p-value is greater than our significance level of 0.05 (5%), we fail to reject the null hypothesis.

This means that we do not have enough evidence to conclude that the die is unfair based on the observed data.

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Answer: \(\frac{12}{7}\) inches

Step-by-step explanation:

3 × \(\frac{4}{7}\)

= \(\frac{3 x 4}{1 x 7}\)

= \(\frac{12}{7}\)

= 1\(\frac{5}{7}\)

The total arc length AB that the pendulum travels is approximately 13.96 inches.

To find the total arc length traveled by the pendulum, we can use the formula for the arc length of a pendulum given by:

Arc length (s) = θ × r

where θ is the angle in radians and r is the length of the pendulum.

However, in this case, we are given the angle in degrees, so we need to convert it to radians. The formula for converting degrees to radians is:

θ (in radians) = (π/180) × θ (in degrees)

Given that the angle is 80°, we can convert it to radians as follows:

θ (in radians) = (π/180) × 80° = (4π/9) radians

Now, we can calculate the arc length:

Arc length (s) = (4π/9) radians × 10 inches

The total arc length traveled by the pendulum is therefore:

Arc length (s) = (40π/9) inches

To approximate the answer, we can use the value of π as approximately 3.14:

Arc length (s) ≈ (40 × 3.14/9) inches

Arc length (s) ≈ 13.96 inches

Therefore, the total arc length AB that the pendulum travels is approximately 13.96 inches.

Please note that this calculation assumes that the pendulum swings in a perfect arc without any friction or external factors affecting its motion. In reality, there may be slight variations due to factors such as air resistance or imperfections in the pendulum's motion.

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Answer:

8

Step-by-step explanation: each side is equal so 8

The height of the equilateral triangle for the given side length is equal to ( 4√3 ) units or approximately 6.93 units (rounded to two decimal places).

In an equilateral triangle, the height is the line segment perpendicular to one side of the triangle and passing through the opposite vertex.

For an equilateral triangle with side length "s," the height "h" can be calculated using the formula:

h = ( √3 / 2) × 8

Where "s" is the side length of the equilateral triangle.

Here, the side length of the equilateral triangle is given as 8 units.

So, substituting the value of "s" into the formula:

⇒ h = ( √3 / 2) × 8

⇒ h = ( 8√3 / 2)

⇒ h = ( 4√3 ) units

Therefore, the height of the equilateral triangle is ( 4√3 ) units or approximately 6.93 units (rounded to two decimal places).

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Answer: 2

Step-by-step explanation:

Rate of change is another way of saying slope. Since slope is rise/run, this functions slope is 2/1 or just 2

32. Solving integral equation using the convolution theoremThe convolution theorem states that the convolution of two signals in the time domain is equivalent to multiplication in the frequency domain.

Therefore, to solve the given integral equation using the convolution theorem, we need to take the Fourier transform of both sides of the equation.

y(t) = ∫_{-∞}^{∞} sinh(−)g() + ∫_{-∞}^{∞} sinh(−−)g()Taking the Fourier transform of both sides, we haveY() = 2π[G()sinh() + G()sinh(−)]where Y() and G() are the Fourier transforms of y(t) and g(t), respectively.Rearranging for y(t), we gety(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]e^(j) d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)](cos()+j sin())d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d+ j(1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()dTherefore, the solution to the integral equation is given by:y(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d + (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()d

It is always important to understand the principles that govern an integral equation before attempting to solve them. In this case, we used the convolution theorem to solve the equation by taking the Fourier transform of both sides of the equation and rearranging for the unknown signal. The steps outlined above provide a comprehensive solution to the equation.  33. Fourier series representation of f(x)

The Fourier series representation of a periodic signal is an expansion of the signal into an infinite sum of sines and cosines. To find the Fourier series representation of the given signal, we need to first compute the Fourier coefficients, which are given by:an = (1/T) ∫_{-T/2}^{T/2} f(x)cos(nx/T) dxbn = (1/T) ∫_{-T/2}^{T/2} f(x)sin(nx/T) dxFurthermore, the Fourier series representation is given by:f(x) = a_0/2 + Σ_{n=1}^{∞} a_n cos(nx/T) + b_n sin(nx/T)where a_0, a_n, and b_n are the DC and Fourier coefficients, respectively. In this case, the signal is given as:f(x) = -1, -π

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The step that is missing for Jimmy to draw a 50° angle is "He finds 50° on the protractor and draws a mark on the paper" (option B).

According to the process described, Jimmy has already draw the first ray that is going to work as the baseline for him to draw the angle he requires. After this, he will need to line up his protactor with this ray (step 1).

Then the next step would be to use a pencil or similar material to make a mark in the 50°, this is an important step as it guarantees the angle is correct before he draw the line.

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After calculations, it is determined that the required spacing of the closed stirrups is approximately 6 inches.

To determine the required spacing of closed stirrups for the given beam, we need to consider the factored shear and factored torsional moment. The formula for calculating the spacing of closed stirrups is given by:

s = (0.75√(f'c) / fy) * (Av / (bd - 2s))

where:

s = spacing of stirrups

f'c = specified compressive strength of concrete

fy = specified yield strength of steel reinforcement

Av = area of one closed stirrup

b = width of the beam

d = effective depth of the beam

Given information:

Width (b) = 15 in.

Effective depth (d) = 26.5 in.

Factored shear = 80 kips

Factored torsional moment = 50 ft-kips

Stirrup centroid from concrete face = 1.75 in.

No. 4 (no. 13) closed stirrup size = 0.2 square inches

First, we need to calculate the area of one closed stirrup:

Av = (No. of stirrups) * (Area of one stirrup)

Av = (2) * (0.2 square inches)

Av = 0.4 square inches

Next, we can substitute the values into the formula to calculate the spacing (s):

s = (0.75√(f'c) / fy) * (Av / (bd - 2s))

Assuming f'c = 4 ksi (common value for concrete strength) and fy = 60 ksi (common value for steel reinforcement strength), we can calculate:

s = (0.75√(4) / 60) * (0.4 / (15 * 26.5 - 2s))

Simplifying the equation, we get:

s = 0.0986 / (397.5 - 30s)

To solve for s, we can use an iterative approach or trial and error method. By substituting different values of s into the equation, we can find the spacing that satisfies the equation.

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Answer:

Step-by-step explanation:

(13 - 3)/(1 + 4) = 10/5= 2

y - 13 = 2(x - 1)

y - 13 = 2x - 2

y = 2x + 11

The correct answer is option (a) n < 27. By dividing both sides of the inequality by -3, we get n > -27.

To solve the inequality -3n < 81, we divide both sides by -3. Remember that when dividing by a negative number, the direction of the inequality sign changes. Dividing both sides by -3 gives us n > -27. So, the correct answer is option (d) n > -27.

The reasoning behind this is that dividing by -3 reverses the inequality sign, which means that the less than ("<") sign becomes a greater than (">") sign.

Option (a) n < 27 is incorrect because dividing by -3 changes the direction of the inequality. Option (b) is stated to be wrong. Option (c) n = 27 is incorrect because the original inequality is strict ("<") and not an equality ("=").

Therefore, By dividing both sides of -3n < 81 by -3, we get n > -27. Therefore, the correct answer is option (a) n < 27.

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The divergence of F is div F = eˣ + eˣʸ + eˣʸᶻ.(a) To find the curl of the vector field F(x, y, z) = (eˣ, eˣʸ, eˣʸᶻ), we need to calculate the determinant of the curl matrix.

The curl of a vector field F is given by the following formula:

curl F = (∂Fₓ/∂y - ∂Fᵧ/∂x)î + (∂Fᵢ/∂z - ∂Fₓ/∂z)ĵ + (∂Fₓ/∂y - ∂Fᵧ/∂x)ᵏ

Let's calculate the curl of F:

∂Fₓ/∂y = ∂/∂y (eˣ) = 0

∂Fᵧ/∂x = ∂/∂x (eˣʸ) = eˣʸ * ∂/∂x (x) = eˣʸ

∂Fₓ/∂z = ∂/∂z (eˣ) = 0

∂Fᵢ/∂z = ∂/∂z (eˣʸ) = eˣʸ * ∂/∂z (x) = eˣʸ * 0 = 0

∂Fₓ/∂y = ∂/∂y (eˣ) = 0

∂Fᵧ/∂x = ∂/∂x (eˣʸᶻ) = eˣʸᶻ * ∂/∂x (x) = eˣʸᶻ

Therefore, the curl of the vector field F is:

curl F = (eˣʸ - 0)î + (0 - 0)ĵ + (0 - eˣʸ)ᵏ

      = eˣʸî - eˣʸᵏ

So, the curl of F is curl F = eˣʸî - eˣʸᵏ.

(b) To find the divergence of the vector field F, we need to calculate the sum of the partial derivatives of each component.

The divergence of a vector field F is given by the following formula:

div F = ∂Fₓ/∂x + ∂Fᵧ/∂y + ∂Fᵢ/∂z

Let's calculate the divergence of F:

∂Fₓ/∂x = ∂/∂x (eˣ) = eˣ

∂Fᵧ/∂y = ∂/∂y (eˣʸ) = eˣʸ * ∂/∂y (y) = eˣʸ

∂Fᵢ/∂z = ∂/∂z (eˣʸᶻ) = eˣʸᶻ * ∂/∂z (z) = eˣʸᶻ

Therefore, the divergence of the vector field F is:

div F = eˣ + eˣʸ + eˣʸᶻ

So, the divergence of F is div F = eˣ + eˣʸ + eˣʸᶻ.

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Answer:

Where is the quadrilateral? You haven't inserted a picture.

9x + 4 = 472

Step by Step Explanation

We know there are 9 buses, but we don't know how many students are on the buses, so that makes the first part of the equation 9x.

We also know there are 4 students in cars, so we now have an equation of 9x + 4.

We also know there is a total of 472 students altogether, so now our final equation is 9x + 4 = 472

tis always a good idea when factoring to start off with a quick prime factoring.

\(\begin{array}{llll} 52&=&2\cdot 2\cdot 13\\\\ 77&=&\boxed{7}\cdot 11\\\\ 91&=&\boxed{7}\cdot 13\\\\ 124&=&2\cdot 2\cdot 31\\\\ 217&=&\boxed{7}\cdot 31 \end{array}\)

Answer:

6+f=21

Step-by-step explanation:

Answer:

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Step-by-step explanation: