evaluate the double integral ?(y^2)/(x^2 y^2)da, where r is the region that lies between the circles x^2 y^2=4 and x^2 y^2=121, by changing to polar coordinates.

Answers

Answer 1

The double integral is zero.

How the double integral is zero?

To evaluate the given double integral using polar coordinates, we need to express the integrand and the region R in terms of polar coordinates. Let's start by finding the polar equation of the two circles.

The equation of the circle x^2 y^2 = 4 can be rewritten in polar coordinates as r^4 cos^2θ sin^2θ = 4, which simplifies to r^2 = 2/(cosθ sinθ).

Similarly, the equation of the circle x^2 y^2 = 121 becomes r^2 = 121/(cosθ sinθ).

Since the circles are centered at the origin, we can use the fact that r is non-negative and 0 ≤ θ ≤ 2π to define the region R in polar coordinates. Therefore, we have:

2/(cosθ sinθ) ≤ r ≤ 11/cosθ sinθ

0 ≤ θ ≤ 2π

To change the integrand to polar coordinates, we need to express y^2/x^2 y^2 in terms of r and θ. We know that y = r sinθ and x = r cosθ, so y^2/x^2 y^2 = (r sinθ)^2 / (r^2 cos^2θ sin^2θ) = 1/(cos^2θ). Therefore, the

∫∫r=11/cosθ sinθ r=2/cosθ sinθ 1/cos^2θ r dr dθ

Integrating with respect to r first, we get:

∫θ=0^2π ∫r=2/cosθ sinθ r=11/cosθ sinθ 1/cos^2θ r dr dθ

= ∫θ=0^2π [1/sinθ - 1/11sinθ] dθintegrand becomes:

y^2 / x^2 y^2 = 1/cos^2θ

Now we can set up the double integral in polar coordinates:

= ∫θ=0^2π [10/11sinθ] dθ

= 0

Therefor, the double integral is zero.

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Related Questions

PLEASE HELP WILL GIVE BRAINLIEST

Arrange the tiles on both boards to find the value of x.
Board sum: 3x + (-5) = 1
What x value solves the equation?
3x - 5 = 1
X =

Answers

Answer: x = 2

Step-by-step explanation:

3x - 5 = 1

add 5 to both sides

3x - 5 (+5) = 1 (+5)

3x = 6

divide by 3 on both sides

3x/3 = 6/3

x = 2

What’s the answer for this question?

Answers

Answer:

Step-by-step explanation:

The last one- monetary support that is used to help pay educational costs

Answer:
itz D :)

Give the other person brainliest cause they answered first and they’re correct :D

Refer to the Exhibit Cape May Realty. Testing the significance of the slope coefficient at a = 0.10, one can conclude that a. Because the p-value < 0.10, we can reject the null hypothesis. Therefore, there is enough evidence to say that the square footage has no effect on the property rental rate. b. Because the p-value < 0.10, we fall to reject the null hypothesis Therefore, there is enough evidence to say that there is no relationship between square footage and property rental rate. c. Because the p-value <0.10, we can reject the null hypothesis. Therefore, there is enough evidence to say that the population slope coefficient is different from zero. d. Because the p-value <0.10.we can reject the null hypothesis. Therefore, there is enough evidence to say that the population slope coefficient is greater than zero.

Answers

Based on the given information in Exhibit Cape May Realty, the question is asking to test the significance of the slope coefficient at a significance level of a = 0.10. The p-value is less than 0.10, which means that the null hypothesis can be rejected. This leads to the conclusion that the population slope coefficient is different from zero. Therefore, option C is the correct answer.

This means that there is a statistically significant relationship between square footage and property rental rate. As the slope coefficient is different from zero, it indicates that there is a positive or negative relationship between the two variables. However, it does not necessarily mean that there is a causal relationship. There could be other factors that influence the rental rate besides square footage.

In summary, the statistical analysis conducted on Exhibit Cape May Realty indicates that there is a significant relationship between square footage and property rental rate. Therefore, the population slope coefficient is different from zero. It is important to note that this only implies a correlation, not necessarily a causal relationship.

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while conducting a study on the growth rates of mice on a copper deficient diet, dr. ambrose recorded the following weights in grams of the mice after three weeks on the diet. 12, 11.3, 15.9, 12.5, 12 what is the standar deviation (s) in this set of samples? (calculate to 2 decimal places)

Answers

The standars deviation (s) in this set of samples is: s = 1.62

In this question we have been given set of the weights in grams of the mice after three weeks on the diet recorede by Dr. Ambrose while conducting a study on the growth rates of mice on a copper deficient diet.

We need to find the the standard deviation (s) in this set of samples.

First we find the mean,

μ = (12 + 11.3 + 15.9 + 12.5 + 12)/5

μ = 12.74

We know that the formula for standard deviation,

s = √[∑(x - μ)²/N]

First we find ∑(x - μ)²

= (12 - 12.74)² + (11.3 - 12.74)² + (15.9 - 12.74)² + (12.5 - 12.74)² + (12 - 12.74)²

= 13.21

So, the standard deviation,

s = √(13.21 / 5)

s = 1.62

Therefore, the standard deviation is 1.62

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(4 ^1/5) ^5 simplify
a4
b1/4
c4^5
d4^25

Answers

The simplified form of $(4^{(1/5))}^5$ is 4, which is option (a).

Given the expression , we need to simplify,

Simplify the expression inside the parenthesis first.

Since there is an exponent of 5 outside the parenthesis, we can use the exponent rule of power of a power to simplify it.

$(4^{(1/5)})^5$ = $4^{(1/5 * 5)$

= $4^1$

= 4

To simplify (1/5))5, we need to apply the exponential rule.

= $4^1$

= 4

The formula $a^4 * b^ {(1/ 4)} * c^4 * 4^5 * d^4^{25$, with some ambiguity and missing information.

The base of "a" is unknown, so we cannot simplify $a^4$ unless we know the base.

Similarly, to simplify $b^{(1/4)$ we need more information about the base of 'b'.

Unclear whether '4' should be a variable or $a^4$ as it immediately follows $c^4$.

The exponent of "d" is written as $d^4^25$

To allow a more precise simplification, please provide additional information or refine the formula further

Substitute the simplified expression back into the original expression.

$(4^{(1/5)})^5$ = 4

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(2/3)y - 4 ≥ 2
Help, Due Today

Answers

The inequality expression (2/3)y - 4 ≥ 2 when evaluated is y ≥ 3

How to evaluate the inequality

Inequality expressions are those statements in mathematics that use symbols like <, >, ≤, or ≥ to compare two values.

From the question, we have the following inequality expression given as

(2/3)y - 4 ≥ 2

Add 4 to both sides of the inequality

So, we have the following representation

2/3y ≥ 2

Multiply both sides of the inequality expression by 3/2

y ≥ 3

Hence, the solution to the given inequality expression is y ≥ 3

Answers

The diagonal of the base of the box is shorter than the bat.

The length of the interior diagonal of the box is shorter than the bat.

Juilian's bat will not fit in the box.

What is diagonal?

The line connecting the opposite vertex of the geometric figure like cube or cuboid or square or rectangle is called the diagonal.

The diagonal of the base `= sq rt (32² + 8²) = 33 in.

The length of the interior diagonal = sq rt (32² + 8² +6²) =33.5 or 34 in.

Thus, The diagonal of the base of the box is shorter than the bat.

The length of the interior diagonal of the box is shorter than the bat.

Juilian's bat will not fit in the box.

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Answer:

1. Shorter than

2. Shorter than

3. Will not fit in the box

Step-by-step explanation:

A soft-drink machine dispenses only regular Coke and Diet Coke. Sixty percent of all purchases from this machine are diet drinks. The machine currently has 10 cans of each type. If 15 customers want to purchase drinks before the machine is restocked, what is the probability that each of the 15 is able to purchase the type of drink desired? (Hint: Let x denote the number among the 15 who want a diet drink. For which possible values of x is everyone satisfied?)

Answers

we need to find the probability that each of the 15 customers is able to purchase the type of drink they desire from a soft-drink machine that dispenses regular Coke and Diet Coke. The machine currently has 10 cans of each type, and 60% of all purchases are diet drinks.

To calculate the probability, we consider the number of customers who want a diet drink, denoted by x. For everyone to be satisfied, the number of customers wanting diet drinks (x) must be less than or equal to the number of available diet drinks (10), and the number of customers wanting regular Coke (15 - x) must be less than or equal to the number of available regular Coke cans (10).

We can calculate the probability by summing the probabilities for all possible values of x that satisfy the above conditions. In this case, x can range from 0 to 10, since there are a maximum of 10 diet drink cans available. For each value of x, we calculate the probability as (0.6)^x * (0.4)^(15-x), since the probability of a customer wanting a diet drink is 0.6 and the probability of wanting regular Coke is 0.4.

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Write an equation to represent the following statement.
The sum of j and 47 is 55.

Answers

Answer:

j+47=55

Step-by-step explanation:

“the sum of” means adding, so you add j and 47, which is or is equal to 55

j+47=55

Help me please, will mark brainliest

Answers

Equation is rate = distance divided by time. So it’s 8 miles divided by how many hours. 8/4/5.

It’s the last one. D.

Answer: D 8/4/5

Explanation:

If two right triangles each have a 45° angle, then the
triangles must be-

Answers

Special Right triangle

TRUE/FALSE. the variance is the simplest measure of dispersion and is computed as the difference between the maximum value and the minimum value in the data set.

Answers

It is true that the variance is the simplest measure of dispersion and is computed as the difference between the maximum value and the minimum value in the data set.

What is variance?

Variance is a measure of dispersion that, in contrast to range and interquartile range, accounts for the spread of all data points in a data collection. Along with the standard deviation, which is just the square root of the variance, it is the measure of dispersion that is most frequently employed. The statistical assessment of the variation in numbers within a data collection is known as variance. In more detail, variance assesses how far apart each number in the collection is from the mean (average) and, consequently, from each other.

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please help. i will brainlist you

Answers

Answer:

first question:

range-22

IQR-13

second question:

range-26

IQR-15.5

I hope this helped bestie!

To rent a carpet cleaner, Tools To Go
charges $15.00 for the first hour or part of
an hour plus $3.50 for each additional half
hour or part of a half hour.
a) Tim picked up a carpet cleaner at
8:10 a.m. and returned it at 4:10 p.m.
Determine his rental charge.
b) Calculate the average cost per hour for
Tim’s rental.
c) Charmaine rented a carpet cleaner from
Carpet Emporium. Her bill was $59.40
for 5.5 h. Compare the average cost per
hour for Charmaine’s rental with the
average cost per hour for Tim’s rental.
How many times as much was
Charmaine’s rental?

Answers

Answer:

A) His rental charge is $64

B)The average cost per hour for Tim’s rental is 8 dollar/hour

C) Charmaine’s average cost is 1.35 times Tim's average cost

Step-by-step explanation:

Rent for first hour of carpet cleaner = $15

Rent for each additional half hour carpet cleaner = $3.50

a)Tim picked up a carpet cleaner at 8:10 a.m. and returned it at 4:10 p.m.

Total time = 8 hours

So, Rent for first hour of carpet cleaner = $15

Now no. of half an hours in remaining 7 hours is 14

So, Rent for each additional half hour carpet cleaner = $3.50

Rent for 14 additional half hour carpet cleaner = $3.50 \times 14 =49$

So, Total rental charge = 49+15 = 64

Hence his rental charge is $64

b)Calculate the average cost per hour for Tim’s rental.

Average cost =$\frac{\text{Total cost}}{\text{Total hours}}=\frac{64}{8}=8 dollar/ hour$

c)Charmaine rented a carpet cleaner from Carpet Emporium. Her bill was $59.40 for 5.5 h.

Average cost =$\frac{\text{Total cost}}{\text{Total hours}}=\frac{59.4}{5.5}=10.8 dollar/ hour$

Let Tim’s rental be x times as much was Charmaine’s rental

So,8x=10.8

$x=\frac{10.8}{8}$

x=1.35

So, Charmaine’s average cost is 1.35 times Tim's average cost

A certain number is added to four result is double

Answers

4, 4+4 is 8 which is double of 4

The perimeter of a square field is 900 m. Find its area.

Answers

Answer:

Given perimeter=900m

So each side = 900/4

= 225

as area of square = side^2

=225^2

=50,625 meters

Given function g, which is defined by g(x)=x to the power of 3 -x , what is the value of g(3)?

Answers

Really sorry, misunderstood the equation. This is the answer though.

Answer:

Step-by-step explanation:

We have our function g(x) = $x^{3}$ - x

Now, we will substitute 3 in for x, giving us:

$3^{3} - 3$

Now, we will simplify our exponent, giving us:

27 - 3 = 24

So your answer is 24.

Hope this helped!

A ship travels from Akron (A) on a bearing of 030° to Bellvilie (B),90km away. It then travels to Comptin (C) which is 310 km due east of Akron (A).Draw a diagram showing the movement of the ship indicate:a.)Northb.)the distances travelledc.)the know angles

Answers

Given: The bearing and distance of a ship from Akron(A) through Bellville(B) to Compton(C)

To Determine: The distance travelled and the angles

Solution

The diagram of the journey can be represented as shown below

Let us solve for BC using cosine rule

$\begin{gathered} BC^2=AB^2+AC^2-2(AB)(AC)cosA \\ BC^2=90^2+310^2-2(90)(310)(cos60^0) \\ BC^2=8100+96100-27900 \\ BC^2=76300 \\ BC=\sqrt{76300} \\ BC=276.22km \\ BC\approx276km \end{gathered}$

The total distance travelled is

$\begin{gathered} Total-distance=AB+BC+AC \\ =90km+276km+310km \\ =676km \end{gathered}$

Using sine rule, we can determine the measure of angle C

$\begin{gathered} \frac{AB}{sinC}=\frac{BC}{sinA}=\frac{AC}{sinB} \\ \frac{90}{sinC}=\frac{276}{sin60^0}=\frac{310}{sinB} \\ \frac{90}{sinC}=\frac{276}{sin60^0} \\ sinC=\frac{90(sin60^0)}{276} \\ sinC=\frac{155.88}{276} \\ sinC=0.5648 \\ C=sin^{-1}(0.5648) \\ C=34.39^0 \end{gathered}$

Also know that the sum of angles in a triangle is 180 degree. Therefore

$\begin{gathered} A+B+C=180^0 \\ 60^0+B+34.39^0=180^0 \\ B+94.39^0=180^0 \\ B=180^0-94.39^0 \\ B=85.61^0 \\ B\approx85.6^0 \end{gathered}$

The bearing of Compton from Bellville(B) is

$Bearing(C-from-B)=90^0+34.39^0=124.39^0\approx124.4^0$

The bearring of Akron(A) from Compton(C) is

$Bearing(A-from-C)=270^0+34.39^0=304.39^0\approx304.4^0$

In summary

The total distance travelled is 676km

The bearing of Compton from Bellville is 124.4 degrees, and the bearing of Akron from Compton is 304.4 degrees

A ship travels from Akron (A) on a bearing of 030 to Bellvilie (B),90km away. It then travels to Comptin

4. Determine the perimeter of a square field with an area of 800m². (Give your answer as
an exact value - mixed radical)

Helpp

4. Determine the perimeter of a square field with an area of 800m. (Give your answer asan exact value

Answers

The perimeter of a square field of area 800m² is 113.137

The area of the field is 800 m²

We need to determine the perimeter of the square field

The formula for area of a square is

area = side ² or a ²

a = √ area

a = √ 800

a = 20√2

a = 20 x 1. 414

a = 28.284

perimeter is the sum of all sides of a square

The formula to calculate the perimeter

p = 4 x side

p = 4a

p = 4 x 20√2 = 80√2

p = 80 x 1.414

p = 113.137

Therefore, the perimeter of a square field of area 800m² is 113.137

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complet the table of inputes and outputs for given function. g(x) = -4x-1 x g(x) 70 -13-1

Answers

To complete the first space on the table, we need to replace g(x) by 7 and solve for x as:

g(x) = -4x - 1

7 = -4x - 1

7 + 1 = -4x - 1 + 1

8 = - 4x

8/(-4) = -4x/(-4)

-2 = x

So, the first space is -2

Then, for the second space, we need to replace x by 0 and calculate g(x) as:

g(x) = -4x - 1

g(x) = -4*0 - 1

g(x) = 0 - 1

g(x) = -1

So, the second space is -1

The third space is calculated as the first one, replacing g(x) by -13 and solving for x:

g(x) = -4x - 1

-13 = -4x - 1

-13 + 1 = -4x - 1 + 1

-12 = - 4x

-12/(-4) = -4x/(-4)

3 = x

So, the third space is 3

Finally, the fourth space is calculated as the second one, replacing x by -1, so:

g(x) = -4x - 1

g(x) = -4*(-1) - 1

g(x) = 4 - 1

g(x) = 3

So, the fourth space is 3

Answer:

x g(x)

-2 7

0 -1

3 -13

-1 3

PLEASE HELP ME ANSWER THIS: The solution to the inequality 89 – 9.8t < 10.6 is

Answers

Answer:

The solution to the inequality 89 – 9.8t < 10.6 is ?

t > 8

The solution to the inequality 89 – 9.8t > 20.4 is?

t < 7

To determine when the projectile hits the ground, solve 89 – 9.8t = 0 for t.

t = 9.08163265306

Rounding to the nearest whole second, t is about ?

9 seconds.

The viable solution set is ?

[0, 7) or (8, 9]

Look at the triangular prism below. Each triangular face of the prism has a base of 3 centimeters (cm)and a height of 4 cm. The length of the prism is 12 cm.

What is the volume of this triangular prism?

Answers

Answer:

chupapi muñeño

Step-by-step explanation:

Answer:

144 cm?

Step-by-step explanation:

$v = l \times w \times h \\ v =12 \times 4 \times 3 \\ v = 12 \times 12 \\ v = 144$

Can someone help me solve this please?

Answers

The segment lengths for this triangle are given as follows:

PX = 7.5.XQ = 22.5.XY = 9.ZW = 21.6.

What are similar triangles?

Similar triangles are triangles that share these two features given as follows:

Congruent angle measures.Proportional side lengths.

There are three triangles in this problem, all of which are similar.

PQR.PZW.PXY.

The length of segment PX can be obtained with triangles PQR and PXY, as follows:

PX/30 = 10/40

PX/30 = 1/4

4PX = 30

PX = 7.5.

The length of segment XQ is found applying the segment addition postulate, as follows:

PQ + XQ = 30

7.5 + XQ = 30

XQ = 22.5.

The length of segment XY can also be obtained with the similarity of triangles PXY and PQR, as follows:

XY/36 = 10/40

XY/36 = 1/4

4XY = 36

XY = 9.

The length of segment ZW is obtained with the similarity of triangles PZW and PQR, as follows:

ZW/36 = 24/40

ZW/36 = 0.6.

ZW = 36 x 0.6

ZW = 21.6.

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c) 4x−4/5= 2
Plss daje naj

Answers

Answer:

x = $\frac{7}{10}$

Step-by-step explanation:

Given

4x - $\frac{4}{5}$ = 2 ( multiply through by 5 to clear the fraction )

20x - 4 = 10 ( add 4 to both sides )

20x = 14 ( divide both sides by 20 )

x = $\frac{14}{20}$ = $\frac{7}{10}$

x=7/10

Step-by-step explanation:

4x-4/5=2

multiply all through by 5

20x-4=10

collect like terms

20x=14

divide all through by 20

x=14/20

x=7/10

Factor completely 3x3 − 3x2 − 18x. 3x(x 3)(x 2) 3x(x 3)(x − 2) 3x(x − 3)(x 2) 3x(x − 3)(x − 2).

Answers

3x^3-3x^2-18x ——-Factor out 3x
3x(x^2-x-6)———-Rewrite the equation
3x(x^2+2x-3x-6)———Factor our X
3x(x(x+2)-3(x+2))——-factor out x+2
3x(x(x+2)-3(x+2))
3x(x+2) (x-3)

PLEASE HELP!! Solve for y.

Answers

Answer:

hypotenuse²=base²+height²

$ \sqrt{85 } {}^{2} = 6 {}^{2} + x {}^{2} \\ $

85=36+x²85-36=x²49=x²49½=xx=7

find the volume of the given solid. bounded by the coordinate planes and the plane 6x + 4y + z = 24

Answers

Therefore, the volume of the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is 96 cubic units.

To find the volume of the solid bounded by the coordinate planes (xy-plane, xz-plane, and yz-plane) and the plane 6x + 4y + z = 24, we need to determine the region in space enclosed by these boundaries.

First, let's consider the plane equation 6x + 4y + z = 24. To find the x-intercept, we set y = 0 and z = 0:

6x + 4(0) + 0 = 24

6x = 24

x = 4

So, the plane intersects the x-axis at (4, 0, 0).

Similarly, to find the y-intercept, we set x = 0 and z = 0:

6(0) + 4y + 0 = 24

4y = 24

y = 6

So, the plane intersects the y-axis at (0, 6, 0).

To find the z-intercept, we set x = 0 and y = 0:

6(0) + 4(0) + z = 24

z = 24

So, the plane intersects the z-axis at (0, 0, 24).

We can visualize that the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is a tetrahedron with vertices at (4, 0, 0), (0, 6, 0), (0, 0, 24), and the origin (0, 0, 0).

To find the volume of this tetrahedron, we can use the formula:

Volume = (1/3) * base area * height

The base of the tetrahedron is a right triangle with sides of length 4 and 6. The area of this triangle is (1/2) * base * height = (1/2) * 4 * 6 = 12.

The height of the tetrahedron is the z-coordinate of the vertex (0, 0, 24), which is 24.

Plugging these values into the volume formula:

Volume = (1/3) * 12 * 24

= 96 cubic units

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A company is considering purchasing the mineral rights to two different mountains. The probability that it will purchase the mineral rights to the first mountain is 0.55. The probability that it will purchase the mineral rights to the second mountain is 0.4. Assuming the decisions to purchase the mineral rights to each mountain are made independently, what is the probability that it will purchase the mineral rights to exactly one of the two mountains?
a. 0.4
b. 0.45
c. 0.51
d. 0.49

Answers

Using probability of independent events, it is found that the probability that it will purchase the mineral rights to exactly one of the two mountains is given by:

c. 0.51

If two events, A and B, are independent, the probability of both happening is the multiplication of the probability of each happening, that is:

$P(A \cap B) = P(A)P(B)$

In this problem, these following two events result in the rights of exactly one of the two mountains being bought:

First bought(0.55 probability), second not(0.6 probability).First not bought(0.45 probability), second bought(0.4 probability).

Hence:

$p = 0.55(0.6) + 0.45(0.4) = 0.51$

Thus, option c is correct.

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A sandwich is 2 12 feet long. You decide to cut the sandwich into pieces that are 1 14 feet long. How many pieces will you cut?

Answers

Answer:

Im assuming you meant 2 1/2 and 1 1/4, so the answer would be 2 pieces

Step-by-step explanation:

2 1/2-1 1/4=1 1/4, so 2

Using the division operation, the number of pieces of sandwich that can be cut is 2

Given the Parameters :

Length of sandwich = 2.5 feets

Length per piece cut = 1.25 feets

The number of pieces that can be cut out of the sandwich can be calculated thus :

Length of sandwich ÷ Length per piece cut

Number of pieces = (2.5 ÷ 1.25) = 2

Therefore, there are 2 pieces of sandwich that can be cut.

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What is the ratio of rise to run between the points (-2, 8) and (4, -3)?

Answers

Ratio of rise to run between the points (-2, 8) and (4, -3) = -11/6

To find the ratio of rise to run between two points, we need to calculate the difference in the y-coordinates (rise) and the difference in the x-coordinates (run) between the two points.

Given points:

Point 1: (-2, 8)

Point 2: (4, -3)

Rise = difference in y-coordinates = y2 - y1 = -3 - 8 = -11

Run = difference in x-coordinates = x2 - x1 = 4 - (-2) = 6

Therefore, the ratio of rise to run can be calculated as:

Ratio of rise to run = Rise / Run = -11 / 6

Thus, the ratio of rise to run between the points (-2, 8) and (4, -3) is -11/6.

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How much work must be done to stop a 1200 kg car traveling at 95 km/h? Express your answer using two significant figures. 17 ? Please look at the picture and answer it. Thank you below the worksheet grid let you switch from sheet to sheet in a workbook. select one: a. cell pointers b. mode indicators c. scroll bars d. sheet tabs ______________ is a huge inland sea in east central CanadaSt. Lawrence SeawayHudson bayThe Canadian ShieldNone of the above What are the zeros of the polynomial y = 3x(x - 2) (2x + 7)? For the company with the characteristics below, what would you expect the dividends/shares to be?net income/share = $13.6return on equity = $12.4payout ratio = 55.1%plowback ratio = 44.9%A. 1.7B. 5.5C. 7.5D. 8.2 I will fall like an ocean on that court!Which character said these words and why?A. John Proctor to Reverend Hale after reciting the Ten CommandmentsB. Abigail to Reverend Hale about her testimony in courtC. John Proctor to Elizabeth as she was getting arrestedD. Thomas Putnam to Parris regarding their dispute about land 7Farmers must monitor the quality of their soil becauseOA.OB. the state requires them to.O C.O D.the health of the soil determines the health of their crops.it helps determine how high the crops will grow.it shows which pollutants are in the air. in contrast to irish immigrants, the german immigrants who arrived in the united states in the late 1840s and early 1850s FITB . A)How much material does he need to cover the one rectangular side of the tent with the rip? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning. Answer:B)If Davids dad wanted to recover the whole tent including the bottom, how much material would he need? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning. Answer:C)What is the volume of the tent? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning. (You need to find the area of one of the triangular bases, and then you can take that measurement and multiply it with the height of the entire prism. ) V=Bh, where B = area of one of the triangular basesAnswer How fast did Joe Kittinger, the previous record holder, fall free before Felix broke his record? A)365 miles per hour B)537 miles per hour C)80 miles per hour overD) 600 miles per hour A furniture store purchased a sofa for $400. The store set the retail price at a 50% markup. When Karen purchases the sofa, she must also pay an 8% tax. How much does Karen pay for the sofa, including sales tax? While counseling an employee a supervisor made the following statements. What is wrong with each statement? What would be a better alternative for each? 1. Your laziness is becoming a real problem 2. "Knock off the shouting The way your performance has been lately, you have no right to be angry 3. What you need to do is to take this job more seriously. Just focus on getting your work done, and then we won't have a problem." chris, a coder for drones inc., learns of undisclosed company plans to market a new, smart drone. chris buys 1 ,000 shares of the firm's stock. if chris is liable under the securities exchange act of 1934, it will be because the information on which he based his purchase of the stock was: Why do you think the constitution of 1895 was considered a setback for African American? If the probability that a novice jumper hits the top rail is 65%, what is the probability that this jumper does not hit the top rail? sorry for the trouble What are powerful families with large amounts of land?aristocratsaristocratsartisansartisansanthropologists what does this line mean, assuming struct rationaltype has been defined: typedef struct rationaltype * rational; Henkes Corporation bases its predetermined overhead rate on the estimated labor-hours for the upcoming year. At the beginning of the most recently completed year, the company estimated the labor-hours for the upcoming year at 54,000 labor-hours. The estimated variable manufacturing overhead was $7.90 per labor-hour and the estimated total fixed manufacturing overhead was $961,200. The actual labor-hours for the year turned out to be 56,300 labor-hours. Required: Compute the company's predetermined overhead rate for the recently completed year. (Round your answer to 2 decimal places.)