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.

The number of **centons **between each **Cylon attack **are 21, 23 and 25.

An **odd number **is a number that is not perfectly divisible by 2. For example, 3 is an** odd number** because it is not perfectly divisible by 2.

A **consecutive number **is a number that follows each other on the number line. **Consecutive odd numbers **are odd numbers that follow each other on the number lines.

Let x represent the first **odd number. **

The next **odd number **: x + 2

The third **odd number **: x + 4

x + (x + 2) + (x + 4) = 75

Add similar numbers: 3x + 6 = 75

3x = 75 - 6

3x = 66

x = 21

The second numbers : 21+ 2 = 23

The third number = 21 + 4 = 25

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Solve for the value of w. * (8w+8)(9w-5)°

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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At a restaurant, Hamburgers cost $2.50 each and French Fries cost $1.20 each. If I went to this restaurant, and bought $8.60 worth of food,

write an equation which models how many hamburgers and french fries I purchased.

Let H represent Hamburgers

Let F represent French Fries.

**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 functions f(x), g(x), and h(x) are shown below. Select the option that represents the ordering of the functions according to their average rates of change on the interval 3≤x≤7 goes from least to greates

**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

[tex]\frac{f(b)-f(a)}{b-a}[/tex][tex]3\leq x\leq7[/tex]for f(x)

[tex]\begin{gathered} \frac{f(7)-f(3)}{7-3} \\ \\ \frac{-10-(-8)}{4} \\ \\ -\frac{2}{4} \\ \\ -\frac{1}{2} \end{gathered}[/tex]for g(x)

[tex]\begin{gathered} \frac{g(7)-g(3)}{7-3} \\ \\ \frac{7-(27)}{4} \\ \\ -\frac{20}{4} \\ \\ -5 \end{gathered}[/tex]for h(x)

[tex]\begin{gathered} \frac{h(7)-h(3)}{7-3} \\ \\ \frac{60-24}{4} \\ \\ \frac{36}{4} \\ 9 \end{gathered}[/tex]**Final Answer**

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

correct option is 2.

Find the value of x *

55°

X

**Step-by-step explanation:**

Since right angle is equal to 90°,

90°-55°=35°

Find an expression which represents the difference when (9x-4)is subtracted from (7x-2) in simplest terms.

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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2x - 3y = -6please solve and graph

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.

In ΔEFG, is it possible for segment GE to measure 6 units?

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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2.if the m∠5 is 63° , find the measure of ∠3.

Show your work

**Answer:**

117°

**Step-by-step explanation:**

180-63=117°

so hope it help

x/8 = 12.8 solve for x

**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

what is 14+7.2n=11+7.5n (whole number)

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!

What is the remainder of 5x3 - 7x² + 2x + 1 divided by (x - 3)?

A.) 126

B.) 79

C.) 203

D.) 205

**Answer: A**

**Step-by-step explanation:**

Write your answer as a fraction in simplest form. 4/25x10

4/25x10/1

=4x10/25

=40/25

=8/5

=4x10/25

=40/25

=8/5

the product of a number and -3 increased by 16 is 31

(-43/3)

rearrange into a equation

solve for x.

3x+7=-36

First, subtract 7 from both sides:

3x+7-7=-36-7

3x=-43

divide both sides by 3.

(3x)/3=-43/3

x=-43/3

rearrange into a equation

solve for x.

3x+7=-36

First, subtract 7 from both sides:

3x+7-7=-36-7

3x=-43

divide both sides by 3.

(3x)/3=-43/3

x=-43/3

f(x)=72/x - 11

f(72)=

The answer to this equation is 72f

Which 2 of the following are correct equations of the line passing through (2, -3) with a slope of five?

y+3 = 5 (x-2)

y= 5x -3

y= 5x + 13

y-3= 5 (x+2)

y= 5x -13

**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!

Evaluate XYZ squared if x = -2, y = 7, and z= -4.

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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Can someone give me the answer to this pls?

**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**

2334567Happy Paws charges $19.00 plus $2.50 per hour to keep a dog during the day. Woof Watchers charges$10.00 plus 53.75 per hour. Complete the equation and solve it to find for how many hours the total costof the services is equal. Use the variable h to represent the number of hours.The equation isThe total cost of the services will be equal athours.

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

[tex]y=2.50h+19[/tex]and for Woof Watches, we have

[tex]y=3.75h+10[/tex]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:

[tex]\begin{gathered} -y=-2.50h-19 \\ y=3.75h+10 \end{gathered}[/tex]If we add both equations, we obtain

[tex]0=(3.75-2.50)h+10-19[/tex]because y-y=0. Then, it yields,

[tex]0=1.25h-9[/tex]If we move -9 to the left hand side as -9, we have

[tex]\begin{gathered} 9=1.25h \\ h=\frac{9}{1.25} \\ h=7.2 \end{gathered}[/tex]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

[tex]\begin{gathered} y=2.50(7.2)+19 \\ y=18+19 \\ y=37 \end{gathered}[/tex]**Then, the answers are:**

**The equation is**

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

S. SURVEY In a survey of their favorite

subjects, 390 students said math was

their favorite. One tenth as many...

students said that history was their

favorite subject. How many students

said history was their favorite?

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.

Trixie exclaimed , “hey! Arithmetic sequences are just name for linear functions.” What do you think ? justify your idea based on multiple representations

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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please help me on this

180-138= 42 the measure of angle 4 is 42° because of the interior angles rule

I think they are correct

To describe a specific geometric sequence, Jamie wrote the recursive formula: (Formula in picture)

Write the first five terms of this sequence.

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 **sequenc**e 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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Thenegative interval(3) of the functiony=-X²+1 are

We are given the following function

[tex]y=-x^2+1[/tex]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**

X =

y =

(3y + 2)

4x°

52°

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****=****1****2****°**

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.

There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?

40%

0.06%

6%

0.4%

**Answer: 40% of the fruit pieces are apples**

**Step-by-step explanation:**

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

.4 x 100% = 40%

What type of reasoning is used to find the next amount of train cars? Explain your answer.

**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.**

Write a condition Pls

The answer would be 30 meter Square

Describe the transformations to the basic function. Then, write the equation of the function.

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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If f (x) = x/2 - 3 and g(x) = 4 x^2 + x-4, find (f+g)(x).

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

[tex](f+g)(x)=f(x)+g(x)[/tex]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

write an equation in form of y=mx+b for a line with slope =7 and y-intercept =4

The slope is defined by m and the y intercept by b

So when you replace the numbers into the equation y= mx + b

Y = 7x + 4

So when you replace the numbers into the equation y= mx + b

Y = 7x + 4

Write five to six sentences explaining how the ideas in "Mutability show one or more ideas expressed in "A Defence of Poetry. Use examples from the essay and the poem in your answer.
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