The two prisms below are similar. What is the value of x?
24
4
16
A. 4
B. 24
C. 16
D. 1

Answer:

34

Step-by-step explanation:

let x = number of stamps ranu gives out and the number of stamps cathy receives

200 - x = 132 + x

combine like term s

200 - 132 = 2x

68 = 2x

x = 34

Answer:

a=3

Step-by-step explanation:

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Answer:

a = 3

Step-by-step explanation:

7a - 3 = 2a + 12

Add 3 to both sides of the equation:

7a - 3 + 3 = 2a + 12 + 3

7a = 2a + 15

Add 2a to both sides of the equation:

7a - 2a = 2a + 15 - 2a

5a = 15

Divide each side by 5:

5a ÷ 5 = 15 ÷ 5

a = 3

Answer:        我不知道你好

Step-by-step explanation:

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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Answer:

D.

Step-by-step explanation:

Circumference of a circle is also referred to as the perimeter bordering the circle.

Thus, it is given as:

C = 2πr

C is circumference

r = half of the diameter of the circle = r

This formula used in finding the circumference of a circle is C = 2πr

100 km per million years is equal to 0.1 mm per year.

To convert km per million years to mm per year, we can use unit analysis to find the conversion factor.

First, we want to convert kilometers to millimeters. There are 1,000,000 millimeters in a kilometer, so we can multiply 100 by 1,000,000 to get the distance traveled in millimeters over a million years:

100 km = 100,000 m = 100,000,000 mm

Next, we want to find the rate of change per year, so we divide the distance by the number of years:

100,000,000 mm / 1,000,000 years = 100 mm/year

Therefore, 100 km per million years is equal to a rate of 0.1 mm per year.

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Answer:

the answer is 1

Step-by-step explanation:

because I did 127+53=180

then you have to subtract 53 from each other 180-53=127

then you have to divide 127 and 127

then you go to gave you last answer is 1

Answer:

0.9082

Step-by-step explanation:

z=(63-67)/3=-1.3333

using a calculator we can find the probability is 0.9082 rounded to four decimal places

Answer:

above sea level

Step-by-step explanation:

Option b is correct.

The null hypothesis in the chi-square test of hypothesis states that the two categorical variables under consideration are independent of each other, meaning that there is no relationship or association between them.

In the chi-square test of hypothesis, the null hypothesis states that the variables under consideration are independent. That is, there is no relationship between the two variables being studied.

The chi-square test is a statistical method used to determine if two categorical variables are associated or independent. Categorical variables are those that take on values that are categories or labels.

For example, gender (male or female) or educational level (high school, college, graduate school) are categorical variables.

The chi-square test determines the expected frequency of each category based on the null hypothesis, which assumes independence between the two variables.

The observed frequency is then compared to the expected frequency, and if the difference is significant enough, it suggests that the null hypothesis should be rejected, and the two variables are considered to be associated or dependent.

Therefore, in summary, the null hypothesis in the chi-square test of hypothesis states that the two categorical variables under consideration are independent of each other, meaning that there is no relationship or association between them.

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3\(x^4\) + 1 is equivalent to \(x^{(4/2)}\) in terms of asymptotic growth rate. The value of 3\(x^4\) + 1 is O(\(x^{(4/2)}\)) and \(x^{(4/2)}\) is O(3\(x^4\) + 1).

To show that 3\(x^4\) + 1 is O(\(x^{(4/2)}\)), we need to find a constant C and a value of x such that:

|3\(x^4\) + 1| <= C|\(x^{(4/2)}\)|

For x >= 1, we can say that:

3\(x^4\) + 1 <= 4\(x^4\)

Taking the square root of both sides, we get:

sqrt(3\(x^4\) + 1) <= 2x²

Thus, we can choose C = 2 and x0 = 1, and we have:

|3\(x^4\) + 1| <= 2|\(x^{(4/2)}\)| for all x >= 1

Therefore, 3\(x^4\) + 1 is O(\(x^{(4/2)}\)).

To show that \(x^{(4/2)}\) is O(3\(x^4\) + 1), we need to find a constant C and a value of x such that:

|\(x^{(4/2)}\)| <= C|3\(x^4\) + 1|

For x >= 1, we can say that:

\(x^{(4/2)}\) <= x²

Thus, we can choose C = 1 and x0 = 1, and we have:

|\(x^{(4/2)}\)| <= |3\(x^4\) + 1| for all x >= 1

Therefore, \(x^{(4/2)}\) is O(3\(x^4\) + 1).

Since both 3\(x^4\) + 1 is O(\(x^{(4/2)}\)) and \(x^{(4/2)}\) is O(3\(x^4\) + 1).

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En el circo, para alimentar 3 tigres se necesitan 40 kg de carne por día, entonces para alimentar 6, 9 y 12 tigres se necesitan 80, 120 y 160 kg de carne por día, respectivamente.                      

Para calcular cuántos kg de carne se necesitan para alimentar 6, 9 y 12 tigres, podemos realizar la siguiente conversión (aplicación de regla de 3):

\( x = \frac{40 kg}{3 \: tigres}*6\: tigres = 80 kg \)

\( x = \frac{40 kg}{3 \: tigres}*9\: tigres = 120 kg \)

\( x = \frac{40 kg}{3 \: tigres}*12\: tigres = 160 kg \)

Por lo tanto, se necesitan 80, 120 y 160 kg de carne para alimentar 6, 9 y 12 tigres, respectivamente.        

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Answer:

Length of each side of the square = 8 cm

Step-by-step explanation:

In the figure attached, diagrams of a right triangle and a square have been given.

"Area of the square is twice the area of the triangle."

Let one side of the square = x cm

Therefore, area of the square = x²

Area of the given triangle = \(\frac{1}{2}(\text{Base})(\text{Height})\)

                                           = \(\frac{1}{2}(16)(4)\)

                                           = 32 cm²

Therefore, x² = 2 × 32

x² = 64

x = 8 cm

Therefore, length of each side of the square will be 8 cm.

Answer:                                                      

15 yards

Step-by-step explanation:

the pitcher is in the middle of the diamond square thingy,the length is 30, so half of 30 is 15

Answer: Use cross product property

Step-by-step explanation:

I solved it out for you below! I hope it helps! If you need a better explanation maybe ask your teacher? :)

Answer: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. (Non-adjacent interior angles may also be referred to as remote interior angles.)

Step-by-step explanation:  ???

The greatest common divisor (GCD) of 509 and 1,177 can be calculated using the Euclidean algorithm, the Euclidean algorithm is a recursive algorithm that iteratively divides the larger number by the smaller number until the remainder is zero.

The final non-zero remainder is the GCD of the two numbers. In this case, starting with 1,177 and 509, we divide 1,177 by 509 to get a quotient of 2 and a remainder of 159. Then, we divide 509 by 159 to get a quotient of 3 and a remainder of 32.

Continuing this process, we divide 159 by 32 to get a quotient of 4 and a remainder of 31. Finally, we divide 32 by 31 to get a quotient of 1 and a remainder of 1. Since the remainder is non-zero, the GCD of 509 and 1,177 is 1.

To summarize, using the Euclidean algorithm, we found that the greatest common divisor of 509 and 1,177 is 1. The algorithm involves repeatedly dividing the larger number by the smaller number and taking the remainder until the remainder becomes zero.

The final non-zero remainder is the GCD. In this case, after several divisions, we obtained a remainder of 1, indicating that 1 is the largest integer that divides both 509 and 1,177 without leaving a remainder.

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Answer:

15

Step-by-step explanation:

Prime factorization of the numbers:

330 = 2 × 3 × 5 × 11

75 = 3 × 5 × 5

450 = 2 × 3 × 3 × 5 × 5

225 = 3 × 3 × 5 × 5

LCM(330, 75, 450, 225)

= 2 × 3 × 3 × 5 × 5 × 11

= 4950

GCD(330, 75, 450, 225) = 15

Answer:

-17

Step-by-step explanation:

Answer:

step 3

Step-by-step explanation:

4*7=28

Not 26

Answer:

24.45 inches altogether

Step-by-step explanation:

9.7 inches + 8.5 inches + 6.25 inches = 24.45 inches

Answer:

a. 0.6975

b. 0.25

c. The events are independent and inclusive

Step-by-step explanation:

a. The proportion of five-star football recruits in the nation that go to universities in the three most competitive athletic conferences = 75%

Therefore, the probability of a five-star football recruits chooses to go to a university in the three most competitive athletic conferences p(A) = 75% or 0.75

The proportion of the times five-star football recruits get full football scholarships = 93%

Therefore, the probability that a five-star football recruit get full football scholarships p(B) = 93% or 0.93

Therefore, the probability that a randomly selected five-star recruit who chooses one of the best three conferences will be offered a full football scholarship can be written as -the probability that a randomly selected five-star recruit who chooses one of the best three conferences and will be offered a full football scholarship is therefore;

p(A) ∩ p(B) = p(A) × p(B) = 0.75×0.93 = 0.6975

b. The probability that a randomly selected five star recruit will not select a university from one of the three best conferences = 1 - p(A) = 1 - 0.75 = 0.25

c. The events are independent as the given probability of occurrence of one event does not alter the probability of the other event

The events are inclusive events are exclusive events as P(A)and P(B) can take place simultaneously.

A, the measures of variation would all be 0. This is because variation measures the differences or spread of values within a dataset. If there is no mercury present in the tuna sushi, then all the values would be the same, resulting in no variation and all measures of variation would be 0.

that since there is no difference or spread in the data, it is not possible to calculate the range, variance, or standard deviation, which are the measures of variation. Therefore, the correct answer is option A.

In conclusion, if the tuna sushi contained no mercury, the measures of variation would all be 0, as there would be no variation in the data.

The measures of variation describe the dispersion or spread of a dataset. If the tuna sushi contained no mercury, that means there is no variation in mercury content. In this case, all data points would be the same (0 mercury), resulting in no dispersion or spread.

If tuna sushi had no mercury content, the measures of variation would be 0, indicating no dispersion in the data.

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Answer:

Step-by-step explanation:

Answer:

a) Hay 210 grupos diferentes de seis ciudades que el representante de ventas podrá seleccionar.

b) Hay 720 secuencias posibles existen para las seis ciudades designadas.

Step-by-step explanation:

a)  Se llama combinaciones de m elementos tomados de n en n a todas las agrupaciones posibles que pueden hacerse con los m elementos de forma que no entran todos los elementos , no importa el orden  y no se repiten los elementos. La combinación se calcula como:

\(C=\frac{m!}{n!*(m-n)!}\)

En este caso m corresponde a las 10 ciudades en el área geográfica que va a visitar, mientras que n corresponde a las 6 ciudades que debe visitar un representante de venta durante un viaje.

Entonces:

\(C=\frac{10!}{6!*(10-6)!}=\frac{10!}{6!*4!}\)

Considerando que el factorial ! indica que se deben multiplicar todos los números enteros y positivos que hay entre el número que aparece en la fórmula y el número 1, entonces la combinación dará como resultado:

C= 210

Hay 210 grupos diferentes de seis ciudades que el representante de ventas podrá seleccionar.

b) Se llama permutación de n elementos a cada una de las diferentes ordenaciones  que se pueden hacer con esos elementos.

Si se tiene un grupo de n objetos distintos, el número de maneras diferentes que podemos tomar un número r de objetos (r < n) del grupo, está dado por la fórmula de la permutación:

\(P=\frac{n!}{(n-r)!}\)

Si m=n para calcular el total de permutaciones se utiliza la fórmula:

P= n!

En este caso se utiliza esta última expresión, ya que se desea calcular las permutaciones de 6 ciudades en 6 posiciones:

P=6!

P=720

Hay 720 secuencias posibles existen para las seis ciudades designadas.

Using the concept of integer it can be concluded that Awad's claim is false.

Integer, a positive, negative, or 0 with a complete value. The counting numbers 1, 2, 3, and so forth are used to create the integers, together with the subtraction process. A counting number can be divided by itself and the result is always zero; for instance, 4 divided by 4 equals 0. The result of subtracting a larger number from a smaller one is a negative whole number; for instance, 2 - 3 = 1. By deriving each integer in this way from the counting numbers, a set of numbers that can be closed with the subtraction operation is produced.

You can have positive or negative numbers. Negative numbers are frequently surrounded by brackets to make them simpler to read, for example (-2). Positive numbers typically don't have the + before the number. 3 is actually +3. Positive and negative number combinations can be confusing to add and multiply, thus caution is advised.

Subtraction and Addition

Two "pluses" equal a "plus," and two "minuses" equal a "plus." A negative is made up of a plus and a minus.

Whenever you subtract a negative number, you always end up adding because two negatives make a positive. For example,

n = 4

m = -3

then,

4-(-3) is going to turn into 4+3 = 7.

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The coordinate matrix of x in the basis b' is calculated to be,

[-2    1      6]

[ 1     0     4]

[ 0   10    6]

To find the coordinate matrix of x in the basis b', we need to express x as a linear combination of the basis vectors in b', and then use the coefficients of the linear combination as the entries of the coordinate matrix.

So we want to find scalars a, b, and c such that:

(4, 30, -8) = a(8, 11, 0) + b(7, 0, 10) + c(1, 4, 6)

Expanding this equation, we get a system of linear equations,

8a + 7b + c = 4

11a + 4c = 30

10b + 6c = -8

Solving the above  system of equations, we will get:

a = -2, b = 1, and c = 6

Hence , the required coordinate matrix of x in the basis b' is found to be :

[-2  1  6]

[ 1  0  4]

[ 0 10  6]

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