16. What will be the midpoint of AB with A= (-3,-8) and B = (-9,-8)

To solve the homogeneous equation dy/dθ = 6θsec(θy) + 5y/(5θ), we can use the method of separation of variables. By rearranging the equation and separating the variables, we can integrate both sides to obtain the solution.

To solve the given homogeneous equation dy/dθ = 6θsec(θy) + 5y/(5θ), we start by rearranging the equation as follows:

dy/y = (6θsec(θy) + 5y/(5θ))dθ

Next, we separate the variables by multiplying both sides by dθ and dividing both sides by y:

dy/y - 5y/(5θ) = 6θsec(θy)dθ

Now, we integrate both sides of the equation. The left side can be integrated using the natural logarithm function, and the right side may require some algebraic manipulation and substitution techniques.

After integrating both sides, we obtain the solution to the homogeneous equation. It is important to note that the specific steps and techniques used in the integration process will depend on the specific form of the equation and the properties of the functions involved.

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Answer: Bippie boppy boo the answer is true!  

Step-by-step explanation: It is B! I did the test

Therefore, f(w ∩ x) = {0} ≠ f(w) ∩ f(x), which shows that the statement f(w ∩ x) = f(w) ∩ f(x) is false in general.

Let's consider the function f: R -> R defined by f(x) = x^2 and the subsets w = {-1, 0} and x = {0, 1} of the domain R.

f(w) = {1, 0} and f(x) = {0, 1}, so f(w) ∩ f(x) = {0}.

On the other hand, w ∩ x = {0}, and f(w ∩ x) = f({0}) = {0}.

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The expected value of buying one ticket in this charity raffle is $0.42. This means that, on average, a person can expect to win approximately $0.42 if they purchase a single ticket.

To calculate the expected value, we need to consider the probability of winning each prize multiplied by the value of the prize. Let's break it down:

- There is a 1/5000 chance of winning the $600 prize, so the expected value contribution from this prize is (1/5000) * $600 = $0.12.

- There are 3/5000 chances of winning the $300 prize, so the expected value contribution from these prizes is (3/5000) * $300 = $0.18.

- There are 5/5000 chances of winning the $40 prize, so the expected value contribution from these prizes is (5/5000) * $40 = $0.04.

- Finally, there are 20/5000 chances of winning the $5 prize, so the expected value contribution from these prizes is (20/5000) * $5 = $0.08.

Summing up all the expected value contributions, we get $0.12 + $0.18 + $0.04 + $0.08 = $0.42.

Therefore, if you buy one ticket in this raffle, the expected value of your winnings is $0.42.

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Answer:

See below

Step-by-step explanation:

'pi'   is defined as the ratio of the circumference of a circle to its diameter

            pi = circ / dia

Answer:

31.8

Step-by-step explanation:

Answer:

Enrique spent D. $31.80 on soda.

The sample space for a couple having four children consists of 16 possible outcomes, representing all combinations of genders for each child. The probability of getting an "and" (all boys) is 1/16.

To find the sample space for a couple having four children, we need to consider all the possible combinations of genders for each child. Since each child can be either a boy (B) or a girl (G), there are 2 options for each child.
To determine the number of possible outcomes, we multiply the number of options for each child. In this case, we have 2 options for each of the 4 children, so the total number of possible outcomes is 2^4 = 16.
The sample space for a couple having four children is {bbbb, bbgb, bgbb, bggb, gbbb, gbgb, ggbb, gggg, bbgg, bbgg, bgbg, bggg, gbbg, gbgg, ggbg, gggg}.
Now, let's find the probability of getting an "and". An "and" means having all the children be boys. Looking at the sample space, we can see that there is only one outcome where all the children are boys, which is "bbbb". Therefore, the probability of getting an "and" is 1/16.
In summary, the sample space for a couple having four children is {bbbb, bbgb, bgbb, bggb, gbbb, gbgb, ggbb, gggg, bbgg, bbgg, bgbg, bggg, gbbg, gbgg, ggbg, gggg}. The probability of getting an "and" (all boys) is 1/16.

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The total number of possible outcomes for the event in which the letter chosen is A is 3.

A sample space is a set of all the possible outcomes that can be generated by performing a random experiment. Felipe chooses one card from the box, numbered 1, 2, or 3, and then he chooses a ball from the bag, labeled A, B, or C.

Hence, the number of possible outcomes is 3 x 3, or 9.

Below is the sample space describing all the possible outcomes:

{1A, 1B, 1C, 2A, 2B, 2C, 3A, 3B, 3C}

Now, we must find all the possible outcomes for the event in which the letter chosen is A.

Felipe picks a card from the box, numbered 1, 2, or 3.

If he selects card 1, he can then choose ball A, B, or C, resulting in three possible outcomes.

If he selects card 2, he can also select ball A, B, or C, resulting in another three possible outcomes.

If he chooses card 3, he can also choose ball A, B, or C, resulting in another three possible outcomes.

Hence, the total number of possible outcomes for the event in which the letter chosen is A is 3.

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Answer:

(-2,-3) and (2,-3).

Step-by-step explanation:

It is given that x ∈ {-2, 0, 2} and y ∈ {-3, -1, 0, 3} .

The given equation is

\(y=1-x^2\)

At x=-2,

\(y=1-(-2)^2=1-4=-3\in y\)

At x=0,

\(y=1-(0)^2=1-0=1\notin y\)

At x=2,

\(y=1-(2)^2=1-4=-3\in y\)

Therefore, the solution of given equation are (-2,-3) and (2,-3).

Answer:

A,C,D

Step-by-step explanation:

Some of the true statements about angles are:

This refers to the formation of two rays which share a common endpoint which are called vertices.

Please note that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.

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The function f(x)=4^(x)+(2)/(7) is nonlinear. This is because the highest power of x in the function is 1, and the function does not take the form y = mx + b, where m and b are constants.

A linear function is a function whose graph is a straight line. The general form of a linear function is y = mx + b, where m is the slope of the line and b is the y-intercept. In this function, the variable x appears only in the first degree, and there are no products of variables.

The function f(x)=4^(x)+(2)/(7) does not take the form y = mx + b, because the variable x appears in the exponent. This means that the graph of the function is not a straight line, and the function is therefore nonlinear.

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The argument is valid if the column for ~ (P v R) -> Q v (P v R) contains only the truth value "T" (true) for all rows.

To determine the validity of the argument ~ (P v R) -> Q v (P v R), we can construct a truth table to evaluate all possible combinations of truth values for the propositions involved: P, Q, and R.

Here's the truth table:

P Q R ~ (P v R) Q v (P v R) ~ (P v R) -> Q v (P v R)

T T T         F                 T                         T

T T F         F                 T                         T

T F T         F                 T                         T

T F F         F                 T                         T

F T T         F                 T                         T

F T F         T                 T                         T

F F T         F                 F                        T

F F F         T                 F                         F

In the truth table, the column for ~ (P v R) represents the negation of the disjunction P v R. The column for Q v (P v R) represents the disjunction of Q and (P v R). The column for ~ (P v R) -> Q v (P v R) represents the implication between ~ (P v R) and Q v (P v R).

The argument is valid if the column for ~ (P v R) -> Q v (P v R) contains only the truth value "T" (true) for all rows. In this case, the truth table shows that the column for ~ (P v R) -> Q v (P v R) does contain only "T" for all rows. Therefore, the argument is valid.

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As given, the amount of copper is 0.9009. You have used 95% of the copper, then the amount of copper used is 0.9009 * 0.95 = 0.855855.

To find the cross-sectional area of the wire, we will use the formula for resistance
\(R = ρ(L/A)\),

To calculate the cross-sectional area of the wire, we can re-arrange the above formula,\(A = ρL / R = (1.72 * 10^-8 m) (1 m) / (0.673 Ω) = 2.56 * 10^-8 m²\)

To find the diameter of the wire, we will use the formula for the area of a circle,
\(A = πr²\), where r is the radius of the wire. Substituting the value of A in the above formula, we get
\(,πr² = 2.56 * 10^-8 m²T\)
r = \(√(2.56 * 10^-8 m² / π) = 8.063 * 10^-5 m\)

The diameter of the wire is
\(,D = 2r = 2 * 8.063 * 10^-5 m = 1.61 * 10^-4 m\)

The diameter of the wire is \(1.61 * 10^-4\) m.

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The lighted obstacle approximately 6 nautical miles southwest of Savannah International Airport is the Juliette Low Bridge. The bridge has a clearance height of 185 feet above the water, which is equivalent to approximately 56.4 meters. It was named after the founder of Girl Scouts, Juliette Gordon Low.

The bridge has a vertical clearance of 56.4 meters, which is enough for most vessels to pass underneath safely. The Juliette Low Bridge was built in 1954 as part of the Truman Parkway and carries westbound traffic over the Wilmington River. It is also known as the Thunderbolt Bridge.

The bridge is illuminated at night, making it visible to pilots flying over the area. It serves as a vital navigation aid for aviators approaching the airport from the southwest. In conclusion, the height of the lighted obstacle approximately 6 nautical miles southwest of Savannah International Airport is the Juliette Low Bridge with a clearance height of 185 feet or approximately 56.4 meters above the water.

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Answer:

6.80 inch

Step-by-step explanation:

Answer:

It should be -5, 5 to the power of -1, 0.5, 5 to the power of 0 in least to greatest form.

Step-by-step explanation:

Answer:

Trevor, Julio, Chantal, Vern, Danica, Andre, August, Maximus

Step-by-step explanation:

$964

$1,010

$1,165

$1,286

$1,425

$1,430

$1,530

$1,575

Answer:

$964

$1,010

$1,165

$1,286

$1,425

$1,430

$1,530

$1,575

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Answer:

A confidence interval is made from a sample to estimate the truth for a population.

A confidence interval is a statistical interval that is found from analyzing sample data to justify a larger statement about a great group of people or things. Common confidence intervals are 95% and 99%.

✨✨✨✨✨✨✨✨✨✨

Answer:

14 miles per hour

average speed = total distance/ total time

here the time is given in minutes so divide 270 minutes with 60, that gives out 4.5 hours to complete the journey.

average speed = 63/ 4.5

Answer: 14 miles per hour

His average miles per hour is 14 miles per hour. Hope this help.

Answer:

2000 meters

Step-by-step explanation:

From the above question

Total time = 15 minutes

Converting minutes to seconds

1 minute = 60 sec

15 minutes = x

Cross Multiply

x = 60 × 15 = 900 seconds

Hence, 900 seconds = Total time

Total time = Time to the marker + Time from the marker

From the question, we are given the Speed to the marker = 5 m/s

Speed from the marker = 4 m/s

Time = Distance/speed

Let the distance be represented by x

Hence:

x/4 + x/5 =900

Multiply all through equation by Lowest Common Denominator = 20

5x + 4x= 900×20

9x = 900 ×20

Divide both sides by 9

9x/9 = 900 × 20/9

x = 2000 meters

Therefore, the total distance to the marker = 2000 meters

The expression is 6 times 1 equals 6/6 + 2 = 8

Expression:

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Let's say P is worth 1

9 times 1 equals 9

3 times 1 equals 3

9 - 3 = 6

6 + 2 = 8

So the expression equivalent to 9p minus 3p 2 is 8.

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Answer:

Number of Activity books = 8

Number of Storybooks = 5

Explanation:

Let x represent the number of activity books.

Let y represent the number of storybooks.

Let's go ahead and set up our equations as follows;

From equation 1, we can see that x = 13 - y

Let's go ahead and substitute the value of x into equation 2 and solve for y;

Since y = 5, let's substitute the value of y into equation 1 and solve for x;

Answer:

wildflower: $8

daffodil: $14

Step-by-step explanation:

9w + 9d = 198

2w + 5d = 86

         -18w - 18d = -396

(+)       18w + 45d = 774

----------------------------------

                    27d = 378

d = 14

9w + 9(14) = 198

9w = 72

w = 8

wildflower: $8

daffodil: $14

Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of Round your answer to the nearest centimeter.Peter is designing an "X marks the spot" flag for a treasure hunt that is made up of a square white flag. The sides of the flag are 72 centimeters long. The flag has an "X" printed on it in black. The "X" has two intersecting diagonals that are each 86 cm long.

To begin, Peter must figure out the area of the square that makes up the flag. This will assist him in determining how large the "X" should be so that it fills the flag proportionally.To begin, let's figure out the area of the white square. The area of a square is found by multiplying the length of one side by itself.

So, if each side of the square is 72 cm long, the area is:72 cm x 72 cm = 5,184 square cm.

Now we know that the area of the white square is 5,184 square cm. If the "X" was to be centered on the square flag, the distance from one end of a diagonal to the other would be half of the length of the diagonal.

This means that half of 86 cm, or 43 cm, is the distance from one side of the flag to the center of the "X." Therefore, we need to find out how large each leg of the "X" must be in order to fill the remaining space.

To fill in the remaining space, each leg of the "X" will be the length of the distance from the center of the "X" to the side of the flag. This distance is:72 cm divided by 2 equals 36 cm. Add this to the 43 cm found earlier to get the total length of each leg of the "X":36 cm + 43 cm = 79 cm. As a result, each leg of the "X" should be 79 cm long in order to proportionally fill the square flag.

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The dimensions of the cylinder of maximum volume that can be contained inside the square pyramid are:

Radius (r) = 3 cm,

Height (h) = 15 cm

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To find the dimensions of a cylinder of maximum volume that can be contained inside a square pyramid, we need to determine the dimensions of the cylinder that maximize its volume while fitting inside the pyramid.

Let's denote the radius of the cylinder as "r" and the height as "h".

The base of the square pyramid has a side length of 6 cm. Since the cylinder is contained inside the pyramid, the maximum radius "r" of the cylinder should be half the side length of the pyramid's base, i.e., r = 3 cm.

Now, let's consider the height of the cylinder "h". Since the cylinder is contained inside the pyramid, its height must be less than or equal to the height of the pyramid, which is 15 cm.

To maximize the volume of the cylinder, we need to choose the maximum value for "h" while satisfying the constraint of fitting inside the pyramid. Since the cylinder is contained within a square pyramid, the height of the cylinder cannot exceed the height of the pyramid, which is 15 cm.

Therefore, the dimensions of the cylinder of maximum volume that can be contained inside the square pyramid are:

Radius (r) = 3 cm

Height (h) = 15 cm

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We can obviously see the -2 point on the y - axis where the value of x is 0.

So the y-intercept is -2.

Now to simply find the slope.

Using the formula:

y2 - y1/x2 -  x1

Find two random points (preferably in the same quadrants):

(4, 1) and (8, 4)

Now we plug in:

8 - 4/ 4 - 1

4/1

4

Hence, the equation is y = 4x - 2.

Thanks.

Therefore, we accept the null hypothesis and conclude that there is not enough statistical evidence to support the alternative hypothesis.

This is because the p-value is greater than the significance level, indicating that there is not enough evidence to reject the null hypothesis. Therefore, we accept the null hypothesis and conclude that there is not enough statistical evidence to support the alternative hypothesis. It is important to note that although the results are not statistically significant, they do not necessarily mean that the null hypothesis is true. The results only indicate that the data does not provide sufficient evidence to reject the null hypothesis at the given significance level. In practice, it is always advisable to consider other factors before drawing final conclusions.

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