Evaluate 2a +7-8a-14+5a

If the measure of an angle is 136.8 degrees more than the measure of a supplementary angle, then the measure of each angles are 21.6 degrees and 158.4 degrees

The supplementary angles are the angles whose measure add up to 180 degrees.

If x and y are supplementary angles

x + y = 180 degrees

Here the measure of an angle is 136.8 degrees more than the measure of supplementary angle.

So one angle will be x and other angle will be x+136.8

Then the equation will be

x + x+136.8 = 180

2x+136.8 = 180

2x = 43.2

x = 43.2/2

x = 21.6 degrees

Other angle is

21.6+136.8 = 158.4 degrees

Hence, if the measure of an angle is 136.8 degrees more than the measure of a supplementary angle, then the measure of each angles are 21.6 degrees and 158.4 degrees

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The coordinates of another point are (4, 6).

We are given the coordinates of two points. The two points are (0, 4) and (2, 5). A straight line passes through the two given points.

We will find the equation of the straight line using the formula given below :

(y - y1) = [(y2 - y1)/(x2 - x1)](x - x1)

(y - 4) = [(5 - 4)/(2 - 0)](x - 0)

(y - 4) = (1/2)x

y = (1/2)x + 4

We have to find another point on the line. Let us choose a value for the x-coordinate equal to 4. The y-coordinate can be calculated as given below :

y = (1/2)4 + 4

y = 2 + 4

y = 6

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The distance between the Bumper Boats and the Parachute Plunge is given by:

15 units.

Suppose that we have two points with coordinates given yb [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The shortest distance between them is given by the following rule:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

This formula is derived from the Pythagorean Theorem, as the points form a right triangle in the xy-plane, with the hypotenuse representing the distance between them.

In the context of this problem, the coordinates of the Bumper Boats and of the Parachute Plunge are given as follows:

Hence the distance between these two points is given as follows:

[tex]D = \sqrt{(6 - (-6))^2+(11 - 2)^2}[/tex]

D = sqrt(12² + 9²)

D = 15 units.

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Answer: its 225

Step-by-step explanation: you should try it and find out. / I did  

For z varies jointly with x and y. When x=5 and y=4, z=12.

a. Equation that models the relationship is z=(3/5)xy.

b. When x=15 and y=2 then z=18.

As given,

a. Equation that models relationship z varies jointly with x and y is:

z is directly proportional to product of x and y

⇒z∝ xy

⇒z=k xy

where k is symbol of proportionality.

When x=5 and y=4, z=12

12=k(5× 4)

⇒k=12/(5× 4)

⇒k=3 /5

Hence, z=(3/5)xy

b. When x=15 and y=2

z=(3/5)×15×2

 =18

Therefore, for z varies jointly with x and y, when x=5 and y=4, z=12.

a. Equation that models relationship is z=(3/5)xy.

b. When x=15 and y=2 then z=18.

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The coordinates of KLMN after reflection along the y-axis is K'(3,2);  L'(-1,4); M'(1,0); and N'(5,-2).

So, the coordinates of KLMN when reflected across the y-axis:

When reflected along the y-axis, the image of (x, y) is (-x,y).

Therefore, the coordinates of KLMN after reflection along the y-axis is K'(3,2);  L'(-1,4); M'(1,0); and N'(5,-2).

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The correct question is given below:
Given a rhombus KLMN with vertices K(-3,2), L(1,4), M(-1,0), and N(-5,-2). What would the coordinates of its image be when reflected across the y-axis?

In graphical representation it will get displaced by 0.5 units in x-axis.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

various Transformations are :

The answer choices would ask us to consider some combination of the following transformations:

reflection across the y-axis: (x, y) ⇒ (-x, y)

reflection across the x-axis: (x, y) ⇒ (x, -y)

reflection across the line y=x: (x, y) ⇒ (y, x)

clockwise rotation 90°: (x, y) ⇒ (y, -x)

positive rotation 270°: (x, y) ⇒ (y, -x) . . . same as 90° CW

translation by (h, k): (x, y) ⇒ (x+h, y+k) . . . h units right, k units up

Here, The shoe rental price increases 0.50 that is the new total cost is represented by T(n)=C(n)+0.5, which is 0.5 greater then old price equation that is C(n)=4.5n+2.5  :

Now, In graphical representation it will get displaced by 0.5 units in x-axis.

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Rigid transformations, are transformations of the plane that preserves length. Reflections, translations, rotations, and combinations of these three transformations are rigid transformations. In a rigid transformation the pre-image and image are always congruent

Therefore, the answer is:

translations

rotations

reflections

Sarah will take 90 minutes to reach her school from her house if she continues to walk with her friend without increasing speed.

According to the question,

We have the following details:

Sarah leaves her house at 6:25 a.m.

She meets her friend at 6:45 a.m.

So, we have:

The time taken by Sarah to meet her friend after 1 mile = (6:45 - 6:25) minutes

The time take by Sarah to meet her friend after 1 mile = 20 minutes

Now, we can find Sarah's speed.

We know that the formula of speed is as follows:

Speed = distance/time

Speed = 1/20 mile/min

Now, the distance of her school from her house is 4.5 mile.

So, we have:

Time taken = distance/speed

Time taken = 4.5/(1/20) min

Time taken = 4.5*20 min

Time taken = 90 minutes

Hence, the time taken by Sarah to reach her school from her house is 90 minutes.

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Answer: At most 5 laps.

Step-by-step explanation:

N= # of laps

7mins times the number of laps= 7N

35 mins= at most

[tex]7n\leq 35\\\\\frac{7n}{7} \leq \frac{35}{7} \\\ \ \ \ n\ \leq \ 5[/tex]

Answer:

3= 95

a= 85

b=85

4=85

Step-by-step explanation:

Angles on a line add up to 180°

Corresponding angles are equal.

Answer: 121 im pretty sure

Step-by-step explanation: 21175 divided by 175

Placing these functions from slowest asymptotic growth to fastest asymptotic growth. f₇(n) < f₄(n) < f₀(n) < f₃(n) < f₅(n) < f₉(n) < f₂(n) < f₆(n) < f₁(n) < f₈(n).The exponents we got.

Given that,

Placing these functions from slowest asymptotic growth to fastest asymptotic growth,

Come to question,

f₇(n) < f₄(n) < f₀(n) < f₃(n) < f₅(n) < f₉(n) < f₂(n) < f₆(n) < f₁(n) < f₈(n).

(ln ln ln n) < (ln n + 2021) < ([tex]n^{lg n}[/tex] ) < ((n/lg n)⁸) < (n⁸ - n⁶ + n⁴ - n² + 1) < (n²⁰²¹) < ([tex]32^{n/5}[/tex]) < (3³ⁿ) < ([tex]16^{lgn}[/tex]) < ( 2021 ∛n)

Let's understand, lg n < n < exponential. on the basis of it,

f₇(n) comes first, it will be smaller than f₄(n), because ln n is > ln ln ln n.

f₄(n) comes second, it will be smaller than f₀(n), because O(n) functions are larger than O(log n).

f₀(n) comes third, it will be smaller than f₃(n), because O(n⁸) functions are larger than O([tex]n^{log n}[/tex]).

f₃(n) comes fourth, it will be smaller than f₅(n), because (n⁸ - n⁶ + n⁴ - n² + 1) will give more larger value than ((n/lg n)⁸), these both functions are O(n⁸).

f₅(n) comes fifth, it will be smaller than f₉(n), because n⁸< n²⁰²¹.

f₉(n) comes sixth,  it will be smaller than f₂(n), because n²⁰²¹ is O(n), whereas [tex]32^{n/5}[/tex] = 2n is exponential, and exponential are larger than O(n).

f₂(n) comes seventh, it will be smaller than f₆(n), because 2n < 3³ⁿ, both are exponential (2 < 3).

f₆(n) comes eight, it will be smaller than f₁(n), because 3³ⁿ < [tex]16^{logn}[/tex], both are exponential (3 < 16).

f₁(n) comes ninth, it will be smaller than f₈(n), because [tex]16^{logn}[/tex] < 2021 ∛n, both are exponential (16 < 2021).

Complete question:  Place these functions in order from slowest asymptotic growth to fastest asymptotic

growth. Justify the claimed order for each pair of consecutive functions that appear in your ordered

list. For instance, if you claim that

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Correct option is A, The temperature started at 78°F and decreased by 6°F. Then the temperature decreased by 5°F.

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression. Since 6 + 6 equals 12, the variable x in the example above is equal to 6. If we are aware of the values of our variables, we can substitute those values for the original variables before evaluating the expression.

An expression is, for instance, 3x - 2. While an equation, on the other hand, denotes the connection between two separate expressions via an equal to sign, One such equation is 3x - 2 = 5 + x.

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The percentage of graduates from University A having income under $20,000 is 22%.

Percentage may be defined as the fraction which we get after dividing an entity from total number multiplied by 100. We have the total number of students in university A as 160. Now, we divide 35 that is the number of students who have an income under $20,000 in university A by 160 that is the total number of students in university A. We get the percentage as

P = (35/160) × 100

P = 0.218 × 100

P = 21.9 %

rounding off to nearest we get percentage as 22 %.

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Percentages are essentially fractions where the denominator is 100. To show that a number is a percent,  the full price of the ticket is 293.75.

Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number.

The cost of the ticket Arno buys is $43.68.

The discount she got for the original cost of ticket is 16%.

We need to find the original cost of the ticket.

We need to convert the percentage to a decimal number.

by dividing 16 with 100 we get the decimal value.

16%=16/100=0.16

Now, to find the original or full price of ticket, we need to multiply zero point one six with x equal to forty three point six eight.

0.16×x=43.68

Divide both sides by 0.16

x=293.75

Hence the full price of the ticket is 293.75.

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Answer:fact

Step-by-step explanation:Opiians have a persianal veiw sush as "the cows should sleep in the shed" while facts are absolute "the cows sleep in the shed"

Answer:

the answer is B 40 because∆ABC is a triangle

Answer:

C. The cost per pizza for 3 pizzas divided by 8 people

Step-by-step explanation:

This is the only answer where you are multiplying by 3 and dividing by 8

Plot two points of each equation

Equation 1 Equation 2

3x - 2y = 10 9x + 4y = - 50

x y x y

0 -5 0 12.5

10/3 0 -50/9 0

Graph

The shortest possible length that Zara's fence could be is 12 feet long.

The fence panels Zara uses are 6 feet long each and the fence panels that Chester uses is each 4 feet long.

The multiple of the number 6: 6, 12, 18, 24

The multiple of the number 4: 4, 8, 12, 16, 20, 24

The numbers 6 and 4 have the same multiple 12, 24. The least common multiple of them is 12.

So Zara's fence has the shortest length is 12 feet, because Zara and Chester have the same length fence as Zara uses fence panels that are each 6 feet long. Chester uses are 4 feet long.

The shortest length of Zara's fence is 12 feet.

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Answer:

Below in bold.

Step-by-step explanation:

Using the Cosine Rule:

a^2 = b^2 + c^2 - 2bc cos A

10^2= 11^2 + 13^2 -2.11.13 cos A

cos A = (11^2 + 13^2 - 10^2) / (2*11*13)

          = 0.66434

m < A = 48.368 degrees

          = 48.37 degrees to 2 D. P's.

By the Sine Rule:

a / sin A = b / sin B

10 / sin 48.368 = 11 / sin B

sin B = 11 * sin 48.368 / 10

         = 0.82217

m < B = 55.303

          = 55.30 degrees to 2 D,P's

So, m < C = 180 - 48.37 - 55.30

                = 76.33 degrees

the person is able to name .441 more songs

Using the law of syllogism, the conclusion is given as follows:

c. if a quadrilateral is a square, then it is a rectangle.

The Law of Syllogism is a logic axiom which states that if the conditional statements p -> q and q -> r are true, the conditional statement p -> r is also true, basically applying the transitive property.

In the context of this problem, the statements are given as follows:

Hence the conclusion is:

p -> r

Read as:

If p then r.

Replacing the statements, we have that:

If a quadrilateral is a square, then it is a rectangle.

Which means that option c is correct.

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Answer:

y= - 11

Step-by-step explanation:

A line with a slope of 0 is a horizontal line, parallel to the x- axis with equation

y = c ( c is the value of the y- coordinates the line passes through )

the line passes through (- 13, - 11 ) with y- coordinate - 11, then

y = - 11 ← equation of line

Answer:

y = -11

Step-by-step explanation:

A line with slope as 0, is a horizontal line ( In other words parallel to x-axis).

There is no rise, only run.

Equation of the line is y = c.

   y = -11

The shortest distance to reach the starting point by Dolores is 2.7 kilometres.

The shortest distance will be the line directly connecting the two points. This will form the right angled triangle and hence can directly be calculated. We will be calculating hypotenuse from Pythagoras theorem.

Distance² = 2.2² + 1.5²

Taking square on Right Hand Side

Distance² = 4.84 + 2.25

Performing addition on Right Hand Side of the equation

Distance² = 7.09

Taking square root on Right Hand Side

Distance = ✓7.09

Distance = 2.7 kilometres

Thus, the shortest distance back to the starting point is 2.7 kilometres.

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Answer: k=-2

Step-by-step explanation:

[tex]\displaystyle\\3 x^2+x+k=\\\\3x^2+3x-2x+k=\\\\3x(x+1)-2(x-\frac{k}{2}) \\\\Hence,\\\\x-\frac{k}{2} =x+1\\\\-\frac{k}{2} =1\\[/tex]

Multiply both parts of the equation by -2:

[tex]\displaystyle\\-\frac{k}{2}(-2) =1(-2)\\\\k=-2[/tex]