use eulers formula to find the number of vertics in the given polyhedron.

Answer: 37%

Step-by-step explanation:

1) Add up all the students

2) Take the number of students 25-34 and divide it by the total amount (600/1640)

3) Take the decimal and multiply it by 100 (0.3658x100) then round up!

To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.

Number of temperatures = Sum of temperatures / Mean temperature

In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.

Number of temperatures = 2,516 / 74

Calculating the division:

Number of temperatures ≈ 34.05

Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.

For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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Answer: A scale is a ratio of the size of the representation (such as a drawing) to the size of the real-world object being represented. In this case, Patty's drawing uses a scale of 1 inch = 45 feet, and Jamie's drawing uses a scale of 2 inches = 35 feet.

In order to find the side length of Jamie's drawing of one of the side length we need to use a proportion:

Jamie's side length / Patty's side length = Jamie's scale / Patty's scale

So if we know one of the side length of Patty's drawing we can find the side length of Jamie's drawing. Let's assume that the side length of Patty's drawing is x

x / Jamie's side length = 45 / 35

So we can isolate Jamie's side length by multiplying both sides by Jamie's scale of 35ft/2 inches

Jamie's side length = (x*35)/45

This is the length of one side length in Jamie's drawing using the scale of 2 inches = 35 feet. If you don't have the length of one side in patty's drawing you can't find the side length of Jamie's drawing.

Step-by-step explanation:

Answer:

Step-by-step explanation:

positive factors are:

1, a, b, a², ab, a²b

Answer:

I am sorry I have no Idea

Step-by-step explanation:

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

a)The value of acceleration will be 4.8 m/s²

b)The total distance travelled is 505 m.

a) As all the movement happens along a straight line, we need to define an axis only, which we call x-axis, being the positive direction the one followed by the car.

We can choose to place our origin at the location where the motorcycle was stopped at the side of the road (assuming that it is the same point  for the car when it passes him), so our initial position is 0.

We can also choose our time origin to be the same as the instant that the motorcycle starts from rest, so t₀ = 0.

With these assumptions, and assuming also that the acceleration is constant, we can write two equations, one for the car (at constant speed) and the another one for the motorcycle, as follows:

xc = vx*t

xm= 1/2*a*t²

When the motorcycle passes the car, both distances traveled from the origin will be equal each other, i.e., xc = xm :

⇒ vx*t = 1/2*a*t²

We have as givens vx=35 m/s and t = 14.5 sec when both equations are equal each other.

⇒ 35 m/s* 14.5 s = 1/2*a*(14.5)²(s)²

Solving for a:

a = (2* 35 m/s) / 14.5 s = 4.8 m/s²

b) Replacing the value of a in the equation for xm, we have:

xm = 1/2*4.8 m/s²* (14.5)²s² = 505 m.

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Answer:

Mean = 53.

Step-by-step explanation:

The median is the middle value so the 3 cards are

36, 46, x       where x is to be found.

The range is 41, so:

x - 36 = 41

x = 41 + 36

x = 77.

Therefore, the mean is

(36+46+77) / 3

= 159/3

= 53.

Explanation

We are given the box plot below:

We are required to determine the percentage of players weighing less than or equal to 194 pounds.

We know that a box plot interprets as follows:

Therefore, we have:

Also, we know that:

Hence, the percentage of players weighing less than or equal to 194 pounds is:

Circle A can be made similar to circle B by dilating circle A by scale factor 4.

Circles can be made similar by performing transformations such as dilations, translation, etc.

The given parameters are:

Circle A

\((x,y)=(6,7)\) --- center

\(r=4\) --- radius

Circle B

\((x,y)=(2,4)\) --- center

\(r=16\) --- radius

To do this, we simply make both circles have the same radius.

Given that:

\(r_A=4\) --- radius of A

\(r_B=16\) --- radius of B

Dilating the radius of A by 4 will make both circles have the same radius.

i.e.

\(R=r_A\times4\)

\(R=4\times4\)

\(R=16\)

Now, the new radius of A is 16; same as B

Both circles now have the same radius, means that the circles are similar.

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P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q

T T T T T F F F F F T    T

F T T F F T T T T T F    F

P F T F F T T T T T F     F

-P T T F F T T T T T F     F

-Q T T T T F T F F F T     T

-P V -Q T T F F T T T T T F

-P -> Q T T F F T T T T T F

-P -> -Q T T F F T T T T T F

P <-> Q T T T T F T T T T F

Here is a more detailed explanation of how I filled out the table:

P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.

P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.

-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.

-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.

-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.

-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.

-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.

P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.

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Answer:

113.04ft^2

Step-by-step explanation:

Like before \(A=\pi r^2\\=\pi 6^2\\=113.04ft^2\)

Answer:

10.25 minus r

Step-by-step explanation:

because amount of money minus how much the raise was equals what he had before.

Answer:

✨b✨

Step-by-step explanation:

The distance between the points (−3, −5) and (9, −5) is the difference in the absolute value of the x-coordinates.

What are coordinates?

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

Given points are (−3, −5) and (9, −5).

The separation between two points, if the coordinate points are in the same quadrant, is equal to the difference between the larger absolute value and the smaller absolute value of the coordinates.

The distance between the two points is

|9| + |-3|

= 12

Since the x-coordinate of (−3, −5) is negative.

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(200 - 100√2) / 16 is the rectangular form of the product c1*c2 for an equilateral triangle's vertices.

A triangle is a three-sided polygon that is sometimes (but not always) referred to as the trigon. Every triangle has three sides and three angles, which may or may not be the same.

Here,

An equilateral triangle is a triangle with three equal sides. If 3-2i, 6-i, and c form the vertices of an equilateral triangle, then the distance between 3-2i and 6-i is equal to the distance between 3-2i and c.

The distance between two complex numbers a + bi and c + di can be found using the formula:

√((c - a)² + (d - b)²)

So, the distance between 3-2i and 6-i is:

√((6 - 3)² + (-1 - (-2))²) = √((3)² + (1)²) = √(9 + 1) = √10

And the distance between 3-2i and c is:

√((c - 3)² + (c - (-2))²) = √((c - 3)² + (c + 2)²)

Since these distances must be equal, we have:

√((c - 3)² + (c + 2)²) = √10

Squaring both sides:

(c - 3)² + (c + 2)² = 10

Expanding both sides:

c² - 6c + 9 + c² + 4c + 4 = 10

Combining like terms:

2c² + 10c + 5 = 10

Subtracting 10 from both sides:

2c² + 10c - 5 = 0

This is a quadratic equation, which can be solved using the quadratic formula:

c = (-b ± √(b² - 4ac)) / 2a

Where a = 2, b = 10, and c = -5. Plugging these values into the formula:

c = (-10 ± √(10² - 4 * 2 * -5)) / 2 * 2

c = (-10 ± √(100 + 40)) / 4

c = (-10 ± √(140)) / 4

c = (-10 ± 10√2) / 4

So there are two complex solutions, c1 = (-10 + 10√2) / 4 and c2 = (-10 - 10√2) / 4.

The product of these two solutions is:

c1 * c2 = ((-10 + 10√2) / 4) * ((-10 - 10√2) / 4)

= (100 - 100√2 + 100) / 16

= (200 - 100√2) / 16

(200 - 100√2) / 16 is the answer in rectangular form for the product c1*c2 for the vertices of an equilateral triangle.

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Answer:

Volume V = 18.735 m3

Step-by-step explanation:

hope this helps

The probability that in a given game the lions will score less than 3 goals is 0.80.

The probability distribution for the number of goals the lions soccer team makes per game is given below:

number of goals probability 0 0.30 1 0.35 2 0.15 3 0.10 4 0.10. The probability that in a given game the lions will score less than 3 goals is 0.80.

To find the probability that in a given game the lions will score less than 3 goals, we need to add up the probabilities for scoring 0, 1, or 2 goals.

P(Less than 3 goals) = P(0 goals) + P(1 goal) + P(2 goals)

We have the following probabilities:

P(0 goals) = 0.30

P(1 goal) = 0.35

P(2 goals) = 0.15

Therefore,

P(Less than 3 goals) = P(0 goals) + P(1 goal) + P(2 goals)

                                 = 0.30 + 0.35 + 0.15

                                 = 0.80

Thus, the probability that in a given game the lions will score less than 3 goals is 0.80.

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Answer:

12.57

Step-by-step explanation:

A=πr2=π·22≈12.56637km²

Step-by-step explanation:

a) 11*5=55

15*5=75

8*5+5=45

b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°

Answer:

2.Relationships

Step-by-step explanation:

Linear means straight and a graph is a diagram which shows a connection or relation between two or more quantity. So, the linear graph is nothing but a straight line or straight graph which is drawn on a plane connecting the points on x and y coordinates.

Applying the angles of intersecting chords theorem, the value of x in the first figure is: x = 7.

If two chords of a circle intersect, the angles of intersecting chords theorem states that, the measure of the angle formed equals 1/2(sum of the measure of the arcs which are intercepted.

Thus, we can use the angles of intersecting chords theorem to find missing angles or value of x in the questions given.

For example, let's find the value of x in the first figure given:

12x + 5 = 1/2(83 + 95)

12x + 5 = 89

12x = 89 - 5

12x = 84

x = 7

Using same strategy, you can solve the rest of the problem given.

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\( \to \sf \dfrac{3}{4} \: of \: 60 \: grams\)

\( \\ \\ \)

\( \to \sf \dfrac{3}{4} \times 60\)

\( \\ \\ \)

\( \to \sf \dfrac{3}{1} \times 15\)

\( \\ \\ \)

\( \to \sf 3 \times 15\)

\( \\ \\ \)

\( \to \red{\sf 45 grams}\)

The steps which you would take to determine if these figures are similar include the following:

2. Multiply the vertices of polygon ABCD by 1/2.

5. Reflect the intermediate image.

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: 1680ml

Step-by-step explanation:

1000 mL are in 1 L, so with that logic

1=1000

.68=680

1000+680=1680

Answer:

28/4

7

56/8

14/2

63/9

70/7

√49

∛343

Answer:

8

Step-by-step explanation:

if you divide 32 by 4 its 8

Answer:

8 dollars a game

Step-by-step explanation:

divide 4 into 32 and you get 8

Answer:

A" (2, 12)

B" (8,8)

C" (6, 4)

Step-by-step explanation:

For each point P(x, y) of the image, the translations are as follows:

Translate P(x, y) by <2, 3> \(\longrightarrow\) P'(x + 2, y + 3) \(\longrightarrow\) P'(x', y')

Dilate P'(x', y') by 2 \(\longrightarrow\) P'' (x'', y'') \(\longrightarrow\) P(2x', 2y')

Point      \(\longrightarrow\)           Translate <2, 3>                   \(\longrightarrow\)       Dilate by 2

A(-1, 3)    \(\longrightarrow\)         A'(-1 +2, 3 + 3) =>  A'(1, 6)       \(\longrightarrow\)            A''(2, 12)

B(2, 1)     \(\longrightarrow\)         B'(2 + 2, 1 + 3) =>  B'(4, 4)       \(\longrightarrow\)           B"(8, 8)

C(1, -1)    \(\longrightarrow\)          C'(1 + 2, -1 + 3) =>  C'(3, 2)     \(\longrightarrow\)            C"(6, 4)

The expression when evaluated is 9^(x - 2)

From the question, we have the following parameters that can be used in our computation:

(9^(x))/(9^(3))9^(5)

Remove the excess brackets

so, we have the following representation

(9^x)/(9^3) * 9^5

When the quotients are evaluated, we have

9^(x - 3) * 9^5

When the products are evaluated, we have

9^(x - 3 + 5)

Evaluate the sum

9^(x - 2)

HEnce, the solution is 9^(x - 2)

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Answer:

x=4 and deviding by 8 by 2 and we get 4