Cylon Raiders attack the Battlestar
Galactica at regular time intervals called
centons, that form three consecutive odd
Integers whose sum is 75. Find the number of
centons between each Cylon attack.

According to the triangle inequality theorem, the measure for the third side can be GE = 6 units, because: A. 3 + 5 > 6, 5 + 6 > 3, and 6 + 3 > 5.

The triangle inequality theorem states that the set of side measurements that will form a triangle will be the set of side lengths whereby the sum of any two sides will be greater than the third side of the triangle.

For example, if a, b, and c are the side lengths of a triangle, then:

Thus, we have the given lengths:

FE = 3 units

FG = 5 units

Therefore, the third side length would be GE = 6 units based on the triangle inequality theorem because:

3 + 5 > 6

5 + 6 > 3

6 + 3 > 5

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2x - 3y = -6

Solve for y:

-3y= -6-2x

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

y= 2/3x+2

Slope intercept form:

y= mx+b

Where:

m= slope (2/3)

b= y-intercept (2)

So, to graph the function, we have to draw a line that crosses the y axis at 2, and for every 3 units moved to the right along the x-axis it goes up 2 units along the y-axis.

Answer: It's using the table of 2 to continue the pattern of trains.

in the first fig the no. of carton is 0.

for the next one it is 2 and the next 4.

the pattern will thus continue with the multiplication table of 2.

Answer:

x = 102.4

Step-by-step explanation:

x/8 = 12.8   | * 8

x = 12.8 * 8

x = 102.4

Answer:  x=102.4

Step-by-step explanation:

(x/8)*8=12.8*8

x=102.4

An arithmetic progression is a sequence in which each number is a fixed amount larger (or smaller) than the one before it. The common difference is the sum in question.

An arithmetic progression is a sequence in which each number is a fixed amount larger (or smaller) than the one before it. The common difference is the sum in question.

By picking two consecutive words in the sequence and deducting the first from the second, we may get the common difference for a particular sequence.

The graph of linear function is a straight line. A function with the formula y=f(x)=ax+by=f(x)=ax+b is said to be linear.

Although not quite the same, arithmetic progressions resemble linear functions.

If the value nn is a full number, then the expression t(n)=2n-4t(n)=2n4 denotes a series, and the graph of this sequence will have distinct points (as shown below).

The expression f(x)=2x-4f(x)=2x4, where xx is any real number, on the other hand, denotes a function, and this function's line graph will be continuous (as shown below).

Although not quite the same, arithmetic progressions resemble linear functions.

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The solution for the value w is 13 in the equation 8w+8 = 9w-5.

Two rays, referred to as the angle's sides and vertex, come together to form an angle. Angles created by two rays are located in the plane where the rays are located.

Dihedral angles are formed when two planes intersect. The angle formed by the rays lying perpendicular to the two intersecting curves at their point of intersection can also be used to define an angle between two intersecting curves.

Angle is a term used to describe the size of an angle or of a rotation. This metric represents the proportion of a circular arc's length to radius. In the case of a geometric angle, the arc is centred at the vertex and is bound by the sides.

We know that vertical angles of intersection are equal, so here

⇒ (8w+8) = (9w-5)

⇒ 8w+8 = 9w-5

⇒ 9w - 8w = 8 + 5

⇒ w = 13

Angle measure = 8(13)+8

                          = 112°

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Answer:

The two equations that passes through (2, -3) and has a slope of five are:

y + 3 = 5(x - 2) and y = 5x - 13

Step-by-step explanation:

For the first equation, you get y equal to itself. To do that, you need to simplify the right side of the equation. For 5(x - 2), you will distribute the 5 to the x and -2, equalling to 5x - 10. Next, we subtract 3 from both sides to cancel out the 3 on the left side. The equation is now y = 5x - 13. The -13 is the y intercept so we start at the point (0, -13). Since the slope goes up by 5 for every one point it moves to the right, it will eventually reach the point (2, -3). In other words, you add 1 to the x value and 5 to the y value. The points will look like this: it starts at (0, -13) and goes to (1, -8) and goes to (2, -3). The second equation is equivalent to the first equation. Hopefully this helps you out!

Answer: x= -3

Step-by-step explanation:

1) Set up the equation with triangle sum

35 + x + 58 + 90 = 180

2) Solve

183 + x = 180

x = -3

If Jamie wrote the recursive formula [aₙ = {(aₙ₋₁) * 4}, where (a₁ = 2)] to describe a specific geometric sequence, then the first five terms of this sequence are [2, 8, 32, 125 and 512]

As per the question statement, Jamie wrote the recursive formula

[aₙ = {(aₙ₋₁) * 4}, where (a₁ = 2)] to describe a specific geometric sequence.

We are required to determine the first five terms of this sequence.

To solve this question, first we have to determine the values of "n" which goes as (n = 1, 2, 3, 4, 5, 6...)

Now, for (n = 1), (an = a₁ = 2), given in the question statement itself,

And using the question mentioned formula, for (n = 2),

[a₂ = {(a₍₂₋₁₎ * 4}]

Or, [a₂ = (a₁ * 4)]

Or, [a₂ = (2 * 4)]

Or, (a₂ = 8).

Similarly, for (n = 3), [a₃ = {(a₍₃₋₁₎ * 4}]

Or, [a₃ = (a₂ * 4)]

Or, [a₃ = (8 * 4)]

Or, (a₃ = 32).

For (n = 4), [a₄ = {(a₍₄₋₁₎ * 4}]

Or, [a₄ = (a₃ * 4)]

Or, [a₄ = (32 * 4)]

Or, (a₄ = 128).

For (n = 5), [a₅ = {(a₍₅₋₁₎ * 4}]

Or, [a₅ = (a₄ * 4)]

Or, [a₅ = (128 * 4)]

Or, (a₅ = 512)

Hence, the first five terms of this sequence are [2, 8, 32, 125 and 512].

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Hello!

Let's solve:

      [tex]\text{Copy down the equation}\\14+7.2n=11+7.5n\\\\\\\text{Move all the variables to one sides and constants to the other}\\14-11=7.5n-7.2n\\7.5n-7.2n = 14-11\\0.3n = 3\\\\\\\text{Divide both sides by 0.3}\\\dfrac{0.3n}{0.3} =\dfrac{3}{0.3} \\\\n = 10[/tex]

Answer: 10

Hope that helps!

The required value of XYZ squared would be 3136 which is determined by substituting x = -2, y = 7, and z = -4.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

We have to evaluate xyz squared if x = -2, y = 7, and z = -4.

⇒ (xyz)²

Substitute the values of x = -2, y = 7, and z = -4 in the above expression

⇒ [(-2) × (7) × (-4)]²

Apply the multiplication operation and we get

⇒ (56)²

⇒ 3136

Therefore, the obtained value of XYZ squared would be 3136 if x = -2, y = 7, and z = -4.

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Answer: 40% of the fruit pieces are apples

Step-by-step explanation:

[tex]\frac{6}{15}[/tex] = .4

.4 x 100% = 40%

The given function is a graph transformation of the absolute value function.

A function transformation "moves," "resizes," or "reflects" the parent function's graph. Function transformations are classified into three types: Translation, Dilation, and Reflection. Only dilation alters the size of the original shape; the other two transformations change the shape's position but not its size.

Step 1: Parent function y = f₁(x) = |x|

Step 2: f₁(x) is reflected (Reflection) about x-axis to form f₂(x) = -f₁(x) = -|x|

Step 3: f₂(x) is moved to left by 5 units(Horizontal translation) to form f₃(x) = f₂(x + 5) = -|x + 5|

Step 4: f₃(x) is moved up 1 unit (Vertical translation) to form f₄(x) = f₃(x) + 1 = -|x + 5| + 1

The equation of the given graph is:

y = |x + 5| +1

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Let h be the hours and y the total charge. Then, for Happy Paws, we have

and for Woof Watches, we have

Then, we need to solve these equations.

Solving by elimination method.

If we multiply by -1 the first equation, we have the equivalent system of equations:

If we add both equations, we obtain

because y-y=0. Then, it yields,

If we move -9 to the left hand side as -9, we have

Hence, to find the total cost, we must substitute this values into one of the 2 equations. If we choose the first one, we obtain

Then, the answers are:

The equation is

and, the total cost of the services will be equal at 7.2 hours

The sum of the two functions can also be expressed as follows;

This is not a difficult process. We just put the terms of the two functions together.

We have to be careful to add or subtract the coefficients of similar terms, taking into account their signs.

Answer:

Step-by-step explanation:

x2 – 2x – 8

Answer:

117°

Step-by-step explanation:

180-63=117°

so hope it help

We are given the following function

We are asked to find the negative interval of this function.

A negative interval means that where the y values of the function are negative.

Let us have a look at the graph of this function.

As you can see,

For x = 0, the interval is positive.

For x = 1 and x = -1 the y value is 0 (we don't consider 0 as either positive or negative that's why 0 is not included in the negative or positive interval)

The y values of the function are negative for

x > 1 and x < -1

Therefore, the negative interval of the function y = x² + 1 is

TO GET Y I WILL USE THE REASON SUM OF ANGLES IN A TRIANGLE:

[tex]52 + 90 +( 3y + 2) = 180 \\ 52 + 90 + 2 +3 y = 180 \\ 3y = 180 - 90 - 52 - 2 \\ 3y = 36 \\ \frac{3y}{3} = \frac{36}{3} \\ y = 12[/tex]

y=12°

TO FIND X I WILL USE THE REQSON ALTERNATE ANGLES

[tex]4x = 52 \\ \frac{4x}{4} = \frac{52}{4} \\ x = 13[/tex]

x=13°

THEE ANGLES ARE INSIDE THE PARALLEL LINES :NOTE.

Step-by-step explanation:

Since right angle is equal to 90°,

90°-55°=35°

The expression when (9x-4) is subtracted from (7x-2) in simplest terms is 2(1-x).

According to the question,

We have the following information:

(9x-4) is subtracted from (7x-2).

(We know that an expression written after the word from should be written first and the expression before it should be written after the sign of subtraction.)

So, we have the following expression:

(7x-2)-(9x-4)

7x-2-9x+4

(We know that the number with the same variables are added or subtracted. For example, 7x is added to -9x.)

-2x+2

Taking 2 as a common factor from these two terms:

2(-x+1)

2(1-x)

Hence, the difference of the two expressions is 2(1-x).

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Answer:

2.50h+1.20f=8.60

Step-by-step explanation:

Since the total cost of food costs $8.60, add together the costs of however many burgers and however many fries you bought. 2.50 and 1.20 are multiplied by the amount of food you purchase

The total number of students who participated in the survey are 100.Given to us The number of students who choose other as their favorite subject = 20 studentsMath = 30%English = 45%Let the total number of students in the survey be x.What is the percentage of students who choose other as their favorite subject?We know that percentage is always 100%, therefore,Total number of students in the survey = other + Math +English100% = other + 30% + 45%100% - 30% - 45% = otherother = 25%Thus, the percentage of students who choose another as their favorite subject is 25%.What is the total number of students who participated in the survey?We know that the number of students who choose English as their favorite subject in the surveys is 20, therefore,25% of the total number of students = 20Hence, the total number of students who participated in the survey is 100.

Given

Function f(x) , g(x) and h(x)

Find

Order of the function according to average rate of change

Explanation

Average rate of change can be given by

for f(x)

for g(x)

for h(x)

Final Answer

least to greatest = g(x) , f(x) . h(x)

correct option is 2.

Answer: A

Step-by-step explanation: