Write the statement in words. Let p="The plane is on time." Let q="The sky is clear."
Q->~P

The amount of $300 will be $3000 in 70 years with the rate of 5 %

Compound interest is the addition of interest to the principal sum of a loan or deposit or interest on interest plus interest.

we have a principal amount is $300 and an interest rate is 5% annually, the amount after compounding is $3000 we have to calculate the time say n.

We know that the formula for the compound interest is-

[tex]A=P(1- \frac{r}{100})^n[/tex]

we have A= $3000

P= $300

r=5% = 0.05

then according to the formula

[tex]3000=300(1+0.05)^n\\\\30=1.05^n\\n=70 years[/tex]

Hence the amount will be 3000 in 70 years.

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The measure of the angIes in triangIe ARST are: 28 degrees, 28 degrees, 124 degrees, 124 degrees. The measure of the angIes in triangIe ANSP are: 28 degrees, 51 degrees, 101 degrees, 129 degrees.

An angIe is a geοmetric figure fοrmed by twο rays οr Iines with a cοmmοn endpοint, caIIed the vertex. AngIes are typicaIIy measured in degrees οr radians and are used tο describe the amοunt οf turn οr rοtatiοn between twο intersecting Iines οr οbjects. AngIes can be acute (Iess than 90 degrees), right (exactIy 90 degrees), οbtuse (greater than 90 degrees), straight (exactIy 180 degrees), οr refIex (greater than 180 degrees).

Here,

To find the measure of the angIes in each triangIe, we need to soIve for the vaIue of x in both equations.

For the first equation, we can simpIify it as foIIows:

x + 14 = 2x

Subtracting x from both sides, we get:

14 = x

For the second equation, we can simpIify it as foIIows:

3x + 9 = 2x + 23

Subtracting 2x and 9 from both sides, we get:

x = 14

Now that we know x = 14, we can find the measure of the angIes in each triangIe.

In triangIe ARST, we have:

angIe A = x + 14

= 14 + 14

= 28 degrees

angIe R = 2x

= 2(14)

= 28 degrees

angIe S = 180 - (angIe A + angIe R)

= 180 - (28 + 28)

= 124 degrees

angIe T = 180 - (angIe A + angIe R)

= 180 - (28 + 28)

= 124 degrees

In triangIe ANSP, we have:

angIe A = x + 14

= 14 + 14

= 28 degrees

angIe N = 3x + 9

= 3(14) + 9

= 51 degrees

angIe S = 180 - (angIe A + angIe N)

= 180 - (28 + 51)

= 101 degrees

angIe P = 180 - (angIe N)

= 180 - 51 = 129 degrees

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The number οf favοurs that Bertrand needs tο buy is 63

An algebraic equatiοn is a mathematical statement that uses οne οr mοre variables and mathematical οperatiοns tο describe a relatiοnship between thοse variables.

Algebraic equatiοns are cοmmοnly used in mathematics, science, engineering, and οther fields tο mοdel real-wοrld phenοmena, sοlve prοblems, and make predictiοns.

Here we have

Bertrand invites 21 peοple tο his party and wants tο give each guest 3 party favοrs.

If n is the tοtal number οf party favοrs he will need tο οrder,

The equatiοn that represents this situatiοn is: n/21 = 3

Where n is the tοtal number οf party favοrs Bertrand will need tο οrder, and 3 represents the number οf party favοrs each guest will receive.

On sοlving the equatiοn will get

=> n/21 = 3

Multiply with 21 οn bοth sides

=> 21(n/21) = 21 × 3

=> n = 63

Therefοre, The number οf favοrs that Bertrand needs tο buy is 63

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Answer:

x=8

Step-by-step explanation:

|x+8|=x+8

x+8=x+8

x^2+8=8

x^2=16

√x^2=√16

x=8

The measure of a length, you would typically need to know the two endpoints of the length and use the distance formula to calculate the distance between them.

[tex]d = √((x₂ - x₁)² + (y₂ - y₁)²)[/tex]

the formula can also be extended to three-dimensional space by adding an additional term for the z-coordinate, as follows:

[tex]d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)[/tex]

The measure of an angle, you would typically need to know the two rays or line segments that form the angle and use trigonometry or geometry formulas to calculate the angle measure.

[tex]sin(A)/a = sin(B)/b = sin(C)/c[/tex]

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The cost for 100 shares at the 52-Week Low is $5228.  Therefore the correct option is option A.

We need to look at the table or chart that shows the data on stock prices at the 52-week low in order to respond to this question. The question alone does not provide the response.

After gaining access to the table, we may calculate the price for 100 shares by multiplying the price for 1 share at the 52-week low by 100.

Let's use $52.28 as an example of the price per share at the 52-week low. The price for 100 shares would be as follows:

$52.28 x 100 = $5,228

Thus, $5228 is the correct response (A).

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Answer:

[tex]p(x)=2(x-3)^2-1[/tex]

Step-by-step explanation:

The values are symmetric about [tex]x=3[/tex], meaning the equation is of the form [tex]p(x)=a(x-3)^2-1[/tex].

Since [tex]p(4)=1[/tex], it follows that:

[tex]1=a-1 \\ \\ a=2[/tex]

Therefore, [tex]p(x)=2(x-3)^2-1[/tex].

Answer: 171

Step-by-step explanation:

There are 11 possible positions for the clasp, as it can be between any two adjacent charms. If we want the clasp to be between the charms of June and July, we need to count how many of these positions satisfy this condition.

Since there are 12 charms in total, we can arrange them in 12! ways. However, since the order of the charms doesn't matter except for the position of the clasp, we need to divide by 12 to account for the different arrangements of the same set of charms.

Now, we can fix the charms of June and July in their correct positions, which leaves us with 10 remaining charms to arrange. There are 10! ways to do this. However, since we want the clasp to be between the charms of June and July, we need to treat them as a single block and arrange the 10 remaining charms and this block. There are 11 ways to do this.

Therefore, the total number of arrangements where the clasp is between the charms of June and July is 11 × 10!.

The probability of the clasp being between the charms of June and July is:

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

= (11 × 10!) / (12!)

= 11/66

We can represent the possible positions of the clasp using a diagram as follows:

Charm 1 - Charm 2 - Charm 3 - Charm 4 - Charm 5 - Charm 6 - Charm 7 - Charm 8 - Charm 9 - Charm 10 - Charm 11 - Charm 12

|---------------------|

To find the height of Sophia's fig tree, we subtracted 38 from 74 and got the result that the height of her fig tree is 36 inches.

In this problem, we are given information about the height of Sophia's lemon tree and the relationship between the heights of her lemon and fig trees. We are asked to find the height of the fig tree.

First, we use "f" to represent the height of the fig tree. We are told that the fig tree is 38 inches shorter than the lemon tree, which we know is 74 inches tall. To find the height of the fig tree, we can subtract 38 from 74:

We know from the problem that Sophia's fig tree is 38 inches shorter than her lemon tree, which is 74 inches tall. So we can write the following equation:

f = 74 - 38

Simplifying this equation, we get:

f = 36

Therefore, the height of Sophia's fig tree is 36 inches.

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Option (A) true. The box plot for Dog Show 1 shows a smaller interquartile range and a smaller spread of data compared to Dog Show 2

A coordinate graph is a graph that is split up into four quadrants with an x-axis and y-axis. The x-axis runs horizontally, or side to side, and the y-axis runs vertically, or from top to bottom.

A. The box plot for Dog Show 1 has a shorter box, which indicates a smaller interquartile range and less variability in the weights compared to Dog Show 2.

B. This inference is not valid since the range of weights in Dog Show 2 (55-100 lbs) is greater than the range in Dog Show 1 (65-85 lbs).

C. The interquartile range (IQR) for Dog Show 1 is smaller than  for Dog Show 2, indicating that the middle 50% of the weights in Dog Show 1 are closer together than the middle 50% of the weights in Dog Show 2.

D. This statement is false

E. This inference is not valid since the median weight in Dog Show 1 (75 lbs) is higher than the median weight in Dog Show 2 (70 lbs).

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Answer:

False. Kant's notion of empirical intuition refers to the immediate awareness of particular objects or experiences, which he believed was necessary for gaining knowledge of the world. However, sweetness is not an example of empirical intuition as it is a subjective experience that cannot be directly observed or measured.

It is false that sweetness is an example of empirical intuition, according to Kant.

Immanuel Kant introduced the concept of empirical intuition, which refers to the mind's ability to organise and structure sensory experience. It enables us to perceive objects and events in our surroundings and form opinions about them. However, it has nothing to do with sweetness.

Kant defines empirical intuition as sensory information received through our senses, such as colours, shapes, and sounds.

Empirical intuition, according to Kant, refers to the a priori knowledge we have about space and time that shapes our experience of the world.

It excludes abstract concepts like sweetness, which are derived from our perception and interpretation of sensory data.

Thus, the given statement "Sweetness is an example of empirical intuition, according to Kant" is false.

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To draw a scatter plot we will determine the plot's x and y axis. We can specify the scale for each axes and finally plot the points.

Data can be graphically represented using a scatter plot. The Coordinate axes are used in a straightforward scatter plot to plot the points according to their values.

To create a scatter plot, follow these three easy steps.

Determine the scatter plot's x- and y-axes in step one.

Specify the scale for each of the axes in STEP II.

Plot the points based on their values in Step 3.

Now here in the question,

We will draw a scatter plot using the data given in the table.

The graph is attached to the answer.

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Angular speed is approximately 1.36 rad/sec and the linear speed of a point on the rim of the rotating wheel is approximately 28.56 ft/sec.

How to calculate the angular speed and linear speed of a point on the rim of the rotating wheel?

The angular speed of the rotating wheel in rad/sec is given by:

angular speed = 2π × RPM / 60

where RPM is the revolutions per minute. we get:

angular speed = 2π × 13 / 60

≈ 1.36 rad/sec

The linear speed of a point on the rim of the rotating wheel in ft/sec is given by:

linear speed = radius × angular speed

where radius is the radius of the wheel. we get:

linear speed = 21 ft × 1.36 rad/sec

≈ 28.56 ft/sec

Therefore, the angular speed of the rotating wheel is approximately 1.36 rad/sec and the linear speed of a point on the rim of the rotating wheel is approximately 28.56 ft/sec.

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Part 4:  By the theorem of inscribed angle in the circle: arc RP  = 136°.

Part 5: From the central angle theorem: m∠LNM = 54°.

Part 4:

m∠QRP = 68°

By the theorem of inscribed angle in the circle:

Two chords with a shared termination point on the circle make up an inscribed angle in a circle. The vertex of a angle is this common terminal point.

arc RP  = 2 * m∠QRP

arc RP  = 2 * 68°

arc RP  = 136°

Part 5:

From the central angle theorem:

An inscribed angle's measurement is equal to half of an intercepted arc's measurement.

As a result, any two inscribed angles in a circle with identical intercepted arcs remain congruent.

m∠LNM = 1/2 m∠LNP

m∠LNM = 1/2 * 108°

m∠LNM = 54°

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Answer:

[tex]30 - x = 4x \\ 30 = 4x + x \\ 30 = 5x \\ x = \frac{30}{5} \\ x = 6[/tex]

Answer:

Answer: A, C, D, and F are polyhedra.

Chain of thought reasoning:

A. Pyramid: A pyramid is a polyhedron because its base is a polygon with four or more sides and its associated faces are triangles. Therefore, Pyramid (A) is a polyhedron.

B. Sphere: A sphere is not a polyhedron because it is not composed of flat faces connected at straight edges, thus it does not form a shape with flat faces and straight edges. Therefore, Sphere (B) is not a polyhedron.

C. Pentagonal prism: A pentagonal prism is a polyhedron because its base is a polygon with five sides and its associated faces are also polygons, resulting in a shape with flat faces and straight edges. Therefore, Pentagonal Prism (C) is a polyhedron.

D. Cube: A cube is a polyhedron because both its bases and its associated faces are polygons with four sides, resulting in a shape with flat faces and straight edges. Therefore, Cube (D) is a polyhedron.

E. Cylinder: A cylinder is not a polyhedron because it is not composed of flat faces connected at straight edges, thus it does not form a shape with flat faces and straight edges. Therefore, Cylinder (E) is not a polyhedron.

F. Cone: A cone is a polyhedron because its base is a polygon with three or more sides and its associated faces are circles or triangle, resulting in a shape with flat faces and straight edges. Therefore, Cone (F) is a polyhedron.

[tex]f'(x) = 21cos(3x)/(1+49sin²(3x)).[/tex] and the outcome is f'(x) = 21cos(3x)/(1+49sin2(3x)). This is the derivative of the function f(x) with respect to x.

We apply the chain rule and the formula for the derivative of the inverse tangent function to determine the derivative of f(x). We first determine that the function contained within the inverse tangent is 7sin (3x). Thus, by differentiating f(x) with respect to x using the derivative of the inverse tangent function, we are able to get an equation in terms of cos(3x) and sin (3x). Trigonometric identities are used to simplify this formula, and the result is[tex]f'(x) = 21cos(3x)/(1+49sin2(3x))[/tex]. This is the derivative of the function f(x) with respect to x.

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The correct answer is option C: Laura determines the four arithmetic means to be −7.2, 2.8, 12.6, and 22.2.

What is arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.

To determine the arithmetic means between two numbers, we need to find the common difference between each pair of consecutive means. The common difference is given by:

Common difference = (larger number - smaller number) / (number of means + 1)

In this case, the larger number is 32 and the smaller number is -17. Laura wants to find four means, so the number of means is 4. Therefore, the common difference is:

Common difference = (32 - (-17)) / (4 + 1) = 49 / 5 = 9.8

To find the four arithmetic means, we start with the smaller number and add the common difference successively. Therefore, the four arithmetic means are:

-17 + 9.8 = -7.2

-7.2 + 9.8 = 2.6

2.6 + 9.8 = 12.4

12.4 + 9.8 = 22.2

Therefore, the correct answer is option C: Laura determines the four arithmetic means to be −7.2, 2.8, 12.6, and 22.2.

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The ability to edit a transaction depends on the specific platform or software that you are using to manage your transactions.

However, in general, there are two options when it comes to editing a transaction:

Edit the existing transaction: This option allows you to modify the details of a transaction that has already been recorded in your system. You may be able to edit the date, amount, category, or any other relevant details of the transaction. This is typically done within the transaction history or ledger of the platform or software you are using.

Void and re-enter the transaction: This option involves voiding or deleting the original transaction and then entering a new transaction with the corrected details. This may be necessary if the original transaction was recorded with incorrect information that cannot be easily edited, or if you want to keep a clear record of the changes made to the transaction.

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Answer: 4

Step-by-step explanation:

Lets first start with the expression:

[tex]m^2+5m-2[/tex]

and m = -6

this means by using substition and plugging in the value -6 for all the m's in the expression, you'll be able to evaluate it.

in other words the expression will now like this when doing substition:

[tex](-6)^2+5(-6)-2[/tex]

36 - 30 - 2

= 4

Answer:

The answer is option C) 4.037 x 10^7.

Step-by-step explanation:

To find out how many more people live in California than in Vermont, we need to subtract the population of Vermont from the population of California.

The population of California is 4.1 x 10^7.

The population of Vermont is 6.3 x 10^5.

Therefore, the difference in population between California and Vermont is:

4.1 x 10^7 - 6.3 x 10^5

= 4.037 x 10^7

So, about 4.037 x 10^7 more people live in California than in Vermont.

The answer is option C) 4.037 x 10^7.

The missing information for both parts below include the following:

mVYW = 162 degrees.

m∠XZY = 140 degrees.

In Mathematics and Geometry, the theorem of intersecting secants states that when two (2) lines intersect outside a circle, the measure of the angle formed by these lines is equal to one-half (½) of the difference of the two (2) arcs it intercepts.

Additionally, the inscribed angle of a circle is equal to half of the central angle of a circle;

mVXW = 1/2(mVYW)

81 = 1/2(mVYW)

mVYW = 162 degrees.

By applying the theorem of intersecting secants, the value of m∠XZY can be calculated as follows:

m∠XZY = 1/2(m∠VW - m∠YX)

m∠XZY = 1/2(106 - 36)

m∠XZY = 140 degrees.

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In the 1st part the correct option is B and in 2nd part A.

A mathematical statement known as an equation consists of two algebraic expressions separated by equal signs (=) on either side.

It demonstrates the equality of the relationship between the printed statements on the left and right.

Left side equals right side in all formulas.

To find the values of unknowable variables, which stand in for unknowable quantities, you can solve equations.

A statement is not an equation if it lacks the equals sign.

When two expressions have the same value, a mathematical statement known as an equation will include the symbol "equal to" between them.

Hence, In the 1st part the correct option is B and in 2nd part A.

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Answer:

Step-by-step explanation:

the answer is c because all those numbers are even and less than 12 its not a because yes all the numbers are greater than two but that answer must include 3,4,5,6,7 and on and on is not d because some numbers are prime and it's not d because the only numbers less than three are 2,1 so that's why the answer is c

Answer:

80

Step-by-step explanation:

In this sequence, every number increases by 6 units:

4; 10; 16; 22; 28 (first five terms)

The sum:

4 + 10 + 16 + 22 + 28 = 80

Answer:

A line graph would best show the average temperatures each month