(1 point) For each of the following pairs of groups G1, G2, determine the number of elements in the direct product G, x G2 of the given order (D6 is the dihedral group of order 12). G G2knumber of elements in G x G2 of order k Z16 Z19 4 U(14) U(13)6

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer:

You can also use tables to represent functions. Instead of using two ovals with circles, a table organizes the input and output values with columns. ... Remember, a function can only assign an input value to one output value. If you see the same x-value with more than one y-value, the table does not represent a function. so yeah it does represent a function.

Hope this helps, have a great day/night and stay safe!

Answer:

2.3 hours

Step-by-step explanation:

From 3:12 pm to 4:12 pm, one hour passes.

From 4:12 pm to 5:12 pm, another hour passes.

From 5:12 pm to 5:30 pm, there are 18 minutes that pass.

Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.

To convert this to a fraction, we can write:

2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours

So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.

The area of the parallelogram is 32 square units

To find the area of the parallelogram, we can use the formula:

= base * height.

In this case, the base is assumed ST and we need to find the height, which is the perpendicular distance between ST and RU.

The slope of ST is (2-6)/(6-2)=-1

The slope of RU is (4-0)/(-4-0)=-1

We can use the distance formula to find the length of ST:

ST = sqrt((6-2)^2 + (2-6)^2) = √(32)

Since the slopes are equal, ST and RU are parallel.

equation of line ST

y = x

-x + y = 0

The height of the parallelogram is the distance between the line ST and the point R (-4,4). We can use the formula for the distance between a point and a line:

d = |Ax1 + By1 + C| / √(A² + B²)

-x + y = 0 equivalent to Ax + By = C

A = -1

B = 1

C = 0

d = |Ax1 + By1 + C| / √(A² + B²)

d = |-1 * -4 + 1 * 4 + 0| / √(1² + 1²) = 8/√2

Therefore, the area of the parallelogram is:

area = base x height

= ST x distance

= √(32) x 8/√2

= 32

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To factor the expression, we need to identify any common factors that can be pulled out of the terms.

The terms g²r and 9²₂² have a common factor of g². The terms 6g²rs²t and -6g²rs²t have a common factor of -6g²rs²t. The term 5422 does not have any factors in common with the other terms.

Therefore, the expression can be factored as:

(-6g²rs²t)(g²r + 9²₂²) + 5422

This is the fully factored form of the expression.


????

Answer:

it is b

Step-by-step explanation: hope help

Answer:

17 ft.

Step-by-step explanation:

Because 17x25=425

And 25-8=17

Answer:

07:45 pm

Explanation:

Steven landed in Orlando after the sum of the following time

3 hours and 45 minutes

2 hours and 30 minutes

1 hour and 30 minutes

If we add the hours and the minutes, we get:

3 hours + 2 hours + 1 hour = 6 hours

45 minutes + 30 minutes + 30 minutes = 105 minutes

But 1 hour = 60 minutes, so

6 hours and 105 minutes = 7 hours and 45 minutes

because

105 - 60 = 45

Since the flight left Boston at 12:00 pm, it was 07:45 pm when Steven landed in Orlando.

The solution to the inequality is: x <= -8 or x >= -8 and [-24, -11] U [7, 24] for number line.

What is inequality?

An inequality is a mathematical statement indicating that one expression is less than or greater than another expression. It involves the use of inequality symbols such as <, >, ≤, or ≥ to compare two values.

|(1/4)x + 2| + 4 >= 8

First, we isolate the absolute value term on one side by subtracting 4 from both sides:

|(1/4)x + 2| >= 4

Next, we split the inequality into two cases: one where the quantity inside the absolute value is positive, and one where it is negative:

(1/4)x + 2 >= 0 or (1/4)x + 2 <= 0

Solving for x in each case, we get:

(1/4)x >= -2 or (1/4)x <= -2

x >= -8 or x <= -8

Therefore, the solution to the inequality is:

x <= -8 or x >= -8

Or, in interval notation:

(-∞, -8] U [-8, ∞)

B. -24 -20 -16 -12 -8 -4 0 4 8 12 16 20 24

And the solution would be:

[-24, -11] U [7, 24]

The closed dot at -24 indicates that -24 is included in the solution, while the open dot at -11 indicates that -11 is not included.

The closed dot at 7 indicates that 7 is included, while the closed dot at 24 indicates that 24 is included in the solution.

Therefore, the solution to the inequality is: x <= -8 or x >= -8 and [-24, -11] U [7, 24] for number line.

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The end behavior of the function f(n) = 3(n + 2)²(n - 3)(n - 2) is given as follows:

The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.

The function for this problem is given as follows:

f(n) = 3(n + 2)²(n - 3)(n - 2).

Considering the degree, the function can be interpreted as follows:

\(3n^4\)

(for the limit when the input goes to infinity we consider only the term with the highest degree).

The leading coefficient is positive and the exponent is even, hence the end behavior is given as follows:

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Answer:

100091

Step-by-step explanation:

The amount that would be in the account when Alana is 21  is $2890

We have to know the formula for simple interest.

This is expressed as;

S.I = PRT/100

Given that the parameters of the formula are enumerated as;

From the information given, substitute the values, we have;

SI = 1000 × 9 × 21/100

Multiply the values,

Then, divide by the denominator, we have;

SI = $1890

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Triangles ΔICR and ΔISU are congruent by SAS rule of congruency, therefore; ∠CIR ≅ ∠SIU by CPCTC

Two triangles, ΔABC and ΔXYZ are said to be congruent by the Side-Angle-Side, SAS congruency rule, if the two sides and an included angle of triangle ΔABC, are congruent to two sides and an included angle of triangle ΔXYZ.

The specified measurements are;

∠1 ≅ ∠4

CU = RS

IC = IS

IC ≅ IS (Definition of congruency)

The congruency of the sides IC and IS indicates that the triangle ΔICS is an isosceles triangle

Therefore, ∠2 ≅ ∠3 by the properties of the base angles of an isosceles triangle

CU - RU = RS - RU (subtraction property)

RU ≅ RU, (reflexive property of congruency)

CU - RU = CR

RS - RU = SU

CR = SU (Substitution property)

CR ≅ SU (Definition of congruency)

ΔICR is congruent to ΔISU by Side-Angle-Side, SAS, rule of congruency.

∠CIR ≅ ∠SIU by Corresponding Parts of Congruent Triangles are Congruent, CPCTC

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Answer X

because it Look more accurate

Answer:

4752

Step-by-step explanation:

Answer:

C. I and III

Step-by-step explanation:

The 2 at the upper left means the divisor is x - 2.

The result at the bottom means the quotient is 3x^2 - 4x + 2.

Answer: C. I and III

The weight of the first fish is 14. 7Ib

The mean is simply the average or the most common value in a collection of numbers.

The formula for mean is given as;

Mean = sum of terms/number of terms

Given the values;

5.2Ib, 7.3Ib, and 6.4Ib

Let the first fish weigh 'x' Ib

5. 2 + 7. 3 + 6. 4 + x/4 = 8. 4

18. 9  + x/4 = 8. 4

cross multiply

18. 9 + x = 8. 4 × 4

18. 9 + x = 33. 6

collect like terms

x = 33. 6 - 18. 9

x = 14. 7Ib

Thus, the weight of the first fish is 14. 7Ib

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The required  value of Triangle + Circle x Half of one square is 20.

Let's call the value we're trying to find "x".From the first equation, we know that the sum of three triangles is equal to 30. Let's call the value of one triangle "t":

t + t + t = 30

Simplifying this equation, we get:

3t = 30

t = 10

So, one triangle has a value of 10.

From the second equation, we know that one triangle plus two circles equals 20. Let's call the value of one circle "c":

10 + c + c = 20

Simplifying this equation, we get:

2c = 10

c = 5

So, one circle has a value of 5.

From the third equation, we know that one circle plus two squares equals 13. Let's call the value of one square "s":

5 + s + s = 13

Simplifying this equation, we get:

2s = 8

s = 4

So, one square has a value of 4.

Now, let's look at the fourth equation:

10 + 5 x (1/2)4 = ?

Simplifying this expression, we get:

10 + 5 x 2 = 20

Therefore, the value of Triangle + Circle x Half of one square is 20.

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Answer:

A).

Step-by-step explanation:

Add 3 to the x values and subtract 1 from the y's.

For example  A ( -5, 1 ) ---->  (-5+3, 1 -1 ) ---> (-2, 0).

4/10 is not proportional to 12/20

( it is proportional to 8/20 )

Answer:

1/3

Step-by-step explanation:

11 - 7 = 4

4/12 -> 1/3

Answer:

37

Step-by-step explanation:

x=-4

=2(5-(-4)2+1

=2(5+4)2+1

=2(9)2+1

=18(2)+1

=36+1

=37

Answer:

where the segment ??????!??!??!?

Step-by-step explanation:

give me the segment I may be able to answer

The range, which is the distance between the smallest and greatest linear equation values in the data,  does not take into account the distribution of the data within that range.

In algebra, a linear equation refers to one with its form y=mx+b. B is the gradient, and m is the esta. The preceding clause is commonly referred to as a "linear function with two variables" so even though y and x are variables. Bivariate linear equations are linear equations with two variables. There are several linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation seems to have the structure y=mx+b, where m is the slope and b is the y-intercept, it is said to be linear. When a measurement seems to have the formula y=mx+b, both with m identifying its slope and b denoting the y-intercept, it is said to be linear.

Because it has a lower IQR, Fast Chicken can more consistently estimate their wait time (Interquartile Range). In this case, the IQR is the range of the middle 50% of the data, which is the distance between the first and third quartiles.

Super Fast Food, on the other hand, has a higher IQR, indicating that the data is more dispersed. This means that customers report a wider range of wait times, making it more difficult to estimate a consistent wait time. The range, which is the distance between the smallest and greatest values in the data, is not as useful for measuring consistency in this case because it does not take into account the distribution of the data within that range.

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Answer:

t ≥ 7.4.

Step-by-step explanation:

To solve the equation 2(t - 6.7) ≥ 1.4 for t, we can follow these steps:

  2t - 2(6.7) ≥ 1.4

  2t - 13.4 ≥ 1.4

  2t - 13.4 + 13.4 ≥ 1.4 + 13.4

  2t ≥ 14.8

  (2t)/2 ≥ 14.8/2

  t ≥ 7.4

Based on this evidence and reasoning, it is reasonable to conclude that Brianna should get the credit card, as long as she uses it responsibly and pays off her balance in full every month to avoid paying interest charges.

Percent, denoted by the symbol "%", is a way of expressing a fraction or ratio as a portion of 100. It is commonly used in everyday life to express a part of a whole or to compare quantities. Percentages can be used in various contexts, such as in finance to calculate interest rates, in statistics to represent data, and in everyday life to express discounts, tax rates, and tips. It is important to understand percentages to make informed decisions and to effectively communicate information.

Here,

CER stands for Claim, Evidence, and Reasoning, which is a framework for presenting a persuasive argument. Using this framework, we can evaluate whether Brianna should get the credit card in question:

Claim: Brianna should get the credit card.

Evidence:

The credit card has an APR of 24.99%, which is high compared to other credit cards.

The credit card has a yearly fee of $150.00.

The credit card offers 1% cash back on most purchases.

Reasoning:

While the APR and yearly fee are high, Brianna can still benefit from using the credit card to build her credit.

The 1% cash back on most purchases can help offset the cost of the yearly fee and the interest charges if she pays off her balance in full every month.

By using the credit card, such as making payments on time and not carrying a high balance, Brianna can establish a positive credit history, which can help her in the future when she wants to apply for loans or other credit cards.

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Answer:

increase

Step-by-step explanation:

in which the base is more than 1.  In this problem, the base is 1.71.  The amount that the base is more than 1

Answer: A. H0: Mean= 5 and Ha: Mean is not equal to 5.

Step-by-step explanation:

Definitions:

Given: The diameter of a spindle in a small motor is supposed to be 5.8 millimeters.

If the spindle is either too small or too large, the motor will not work properly. so, Mean diameter ≠ 5.8 to work correctly.

i.e. \(H_a: \text{Mean}\neq 5.8\)

So, \(H_a: \text{Mean =5.8}\)

The required null and alternative hypotheses:

H0: Mean= 5 and Ha: Mean is not equal to 5.

Answer:

x = 2 or x = -5

Step-by-step explanation:

x² + 3x - 4 = 6

x² + 3x -4 - 6 = 0

x² + 3x - 10 = 0 (Here you find two numbers that have a sum of 3 and a product of -10. These two numbers would be 5 and -2. 5 - 2=3 and 5×-2 =-10.)

x² + 5x - 2x -10 = 0 (They you replace 3x by 5x and -2x)

(x² + 5x) (-2x -10) =0 - (You find common terms)

x(x + 5) -2(x + 5) = 0

(x - 2) (x + 5) = 0

So

x - 2 = 0 or x + 5 = 0

x =2               x = -5

Answer:x=2

Step-by-step explanation:

x^2+3x-4=6

2x+3x-4=6

add 2x and 3x and you get 5x

5x-4=6

add 4 to both sides 6 plus 4 is 10

5x=10

know divide 5 from both sides and you get 2

x=2