evaluate each question

-12 • (-1/3)

Answer:

[tex]=13a^{437}+12a[/tex]

Step-by-step explanation:

[tex]\left(a^{413}a^{22}a+1\right)\cdot \:13a-2a+1\cdot \:a[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:-2a+1\cdot \:a=-a[/tex]

[tex]=\left(a^{413}a^{22}a+1\right)\cdot \:13a-a[/tex]

[tex]=\left(a^{436}+1\right)\cdot \:13a-a[/tex]

[tex]=13a\left(a^{436}+1\right)-a[/tex]

[tex]=13a^{437}+13a-a[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:13a-a=12a[/tex]

[tex]=13a^{437}+12a[/tex]

Answer:

Neither

Step-by-step explanation:

To determine if two lines are parallel or perpendicular, you have to look at the slopes. For the line y=kx+b, k is the slope.

For two lines  y=k1x+b1 and y=k2X+b2 ,When K1=K2, two lines are parallel; when K1=-1/k2, two lines are perpendicular. It doesn't matter whatever b1, b2 are. Hence to save time, you only need to calculate  k1 and k2.

To calculate the slope k of any line, you have to change the equation to y=kx+b

For -y=3x-2, k=3/(-1)=-3 (you divide -1 on each side of =, but you don't need to calculate -2/(-1))

For -6X+2y=6, K=6/2=3 (you first move the -6x to right side, it becomes 6x, then divide by 2)

Now you can get the answer: The two lines neither parallel nor perpendicular

Answer:

D. Parallel

Step-by-step explanation:

When Graphed, These two equations bring up lines that are parallel to each other

Answer:

the second one is an example of a rational function

Answer:

1/3

Step-by-step explanation:

3/9 = 1/3

Answer:

b. -3

Step-by-step explanation:

slope = y2 - y1 / x2 - x1

= 3 - 9 / 0 + 2

= -6 / 2

= -3

Answer:

b

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 9 ) and (x₂, y₂ ) = (0, 3 )

m = [tex]\frac{3-9}{0-(-2)}[/tex] = [tex]\frac{-6}{0+2}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3

Okay so here is how it works:

Because 2:3:5 is the ratio 10 is the total because 2+3+5 is 10 right?

You therefore equate 10 to 4000

10=4000

so if 10 is equal to 4000 what about 2,3 or 5?

2/10×4000=800

3/10×4000=1200

5/10×4000=2000

Hope this anwered your question

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The answer is $30

Step-by-step explanation:

Markup refers to the amount added to the cost price of goods to cover overhead and profit.

The vase was bought for $25, then is now selling for $55

$55-$25=$30

hope this helps please mark brainliest :)

Answer:

[tex] \frac{160}{3} [/tex]

Step-by-step explanation:

Step 1: A discount of

[tex] \frac{1}{3} [/tex]

means that the current price is two thirds of the original cost.

Step 2: The total cost is

[tex]80 \times \frac{2}{3} = \frac{160}{3} [/tex]

and the answer follows.

Solution:

Note that:

Simplify the expression.

Lynn will pay $53.33.

Answer: Height = 16.6 ft

Step-by-step explanation:

The area of a trapezoid is (b1+b2)*h/2, where b1 and b2 are the bases and h is the height.

We can plug in the values given:

234.06 ft^2 = (19.2 ft + 9 ft)*h/2

We can multiply both sides by 2 and combine like terms:

468.12 ft^2 = 28.2 ft*h

Divide both sides by 28.2 ft:

Height = 16.6 ft

Check the picture below.

[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} B=\stackrel{base}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=12.4\\ h=5 \end{cases}\implies V=\cfrac{(12.4)(5)}{3}\implies V=20.\overline{6}~ft^3[/tex]

The value of angle x which is substended in the circle will be D. 342.6°.

From the information given, it has been depicted that the value of the angle that's facing x is 17.4°.

Therefore, the value of x which is inscribed in the circle will be:

= 360° - 17.4°

= 342.6°

In conclusion, the correct option is 342.6°.

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Answer:

r < 4/7

Step-by-step explanation:

35r−21<−35r+19

35r + 35r < 19 + 21

70r < 40

r < 40/70 or r < 4/7

Answer:

[tex] \frac{5}{6} \: - \frac{5}{6} [/tex]

Step-by-step explanation:

[tex] \sqrt{ \frac{25}{36} } = \frac{ \sqrt{25} }{ \sqrt{36} } = \frac{5}{6} [/tex]

Answer:

12/17

Step-by-step explanation:

total that are NOT Toe Knows shoe (7) plus total that are NOT pleased (10) and subtract total that are not toe knows and not pleased (5)

7 + 10 - 5 = 12

over total (17)

12/17 doesn't simplify

Before we solve for each angle, let's find the bottom left angle of the triangle.

We know that:

This means that:

Step-by step calculations:

⇒ 106 + x = 180

⇒ 106 - 106 + x = 180 - 106

⇒ x = ∠BCA = 74°

We know that:

⇒ Sum of the interior angles of the triangle: 180°

This means that:

⇒ (74) + (3y + 22) + (4y) = 180

Step-by step calculations:

⇒ (74) + (3y + 22) + (4y) = 180

⇒ 96 + 7y = 180

⇒ 96 - 96 + 7y = 180 - 96

⇒ 7y = 84

⇒ 7y/7 = 84/7

⇒ y = 12

Step-by step calculations:

⇒ ∠B = 3y + 22

⇒ ∠B = 3(12) + 22

⇒ ∠B = 36 + 22

⇒ ∠B = 58°

-------------------------------------

⇒ ∠A = 4y

⇒ ∠A = 4(12)

⇒ ∠A = 48°

Answer:

Alan Mathison Turing OBE FRS was an English mathematician, computer scientist, logician, cryptanalyst, philosopher, and theoretical biologist.

Born: June 23, 1912, Maida Vale, London, United Kingdom

Died: June 7, 1954, Wilmslow, United Kingdom

Turing's main contribution to mathematics, however, was his work on computation theory. Presaging the invention of the modern computer, Turing designed an abstract computing device known as the Turing machine — an entirely virtual construct which could perform calculations and follow instructions.

Answer:

4p + 4

Step-by-step explanation:

Original expression:

4(p + 3) - 8

Apply the distributive law:  a(b + c) = ab + ac

⇒ 4p + 12 - 8

Subtract 8 from 12:

⇒ 4p + 4

Answer:

Area: 24   Perimeter: 20

Step-by-step explanation:

Area (multiply side 1 by side 2):

4×6=24

Perimeter (add all of the sides together):

4+4=8

6+6=12

8+12=20

On the first day the company is giving Rs124, 000.

On the fifteenth day the company will give Rs 125400

The amount they wanted to give in august for promotion is Rs 124,000. They increased the amount each day by Rs 100.

Therefore, the sequence will be as follows;

124,000, 124,100, 124,200 .......

i.

The amount they will give on the first day is Rs124, 000

ii

The sequence is increasing by 100. Therefore,

common difference = 100

first term = 124, 000

Therefore,

a₁₅ = 124000 + (15 - 1)100

a₁₅ = 124000 + 1400

a₁₅ = 125400

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[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5\% of 4.80}}{\left( \cfrac{5}{100} \right)4.80}\implies 0.24~\hfill \underset{\textit{price including tax}}{\stackrel{4.80~~ + ~~0.24}{5.04}}[/tex]

it depends on the original question. here are 2 ways to solve depends on the question

7x³ - x²/2x³

7x³ - 1/2x

but if the problem is

(7x³-x²)/(2x³)

[x²(7x-1)]/(2x³)

(7x-1) / (2x)

To determine how the graph of the parent function [tex]y = x^2[/tex] is transformed to create the graph of the new function [tex]y = -(x – 1)^2 – 5[/tex], we need to analyze the individual transformations one by one Therefore the correct option is A.

1. Translation: (x – 1) This term inside the function represents a horizontal translation of the graph. When we subtract 1 from x, the entire graph is shifted to the right by 1 unit. Hence, this function is translated right 1 unit. 2. Reflection: (-) The negative sign outside the function reflects the graph across the x-axis. Thus, the graph opens downward.

3. Vertical Transformation: -5 The term -5 outside the function causes a vertical shift of the graph downward by 5 units. In summary, the graph of the new function [tex]y = -(x – 1)^2 – 5[/tex]  undergoes the following transformations: - Translated right 1 unit due to (x – 1) - Reflected (opens downward) due to the negative sign - Translated down 5 units due to -5 Therefore, the correct answer is A. Translated right 1 and down 5 only

Hence the correct option is A

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Answer:

As time increases, grams decrease

To describe the relationship between the two quantities, we first have to identify what those two quantities are.

Well, it says it right on the graph.

Our two quantities are time (the x value) and grams (the y value)

So, what is the relationship between the two quantities?

Well, let's first look at what each one is doing.

Well, time is increasing

Grams, however, are decreasing

So, the relationship is as follows:

As time increases, grams decrease

Answer:

56

Step-by-step explanation:

180 = Triangle total angle amount

180 - 68 = 112

112/2= 56

Have an amazing day!!

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36.9 / 60 = 61.5% on shoes and 38.5% on the shirt