Just testing don't answer

Answer:

-129

Step-by-step explanation:

-3+6-12+24-48+96-192=

6+24+96-3-12-48-192=

126-255=

-129

Hope this helps!

The rule for the transformed function is g(x) = -x² - 4, thus, the correct option is c

We can see that f(x) is the quadratic function:

f(x) = x²

Notice that function g(x) opens downwards, then we have a reflection over the x-axis, so we have:

g(x) = -x²

And also, the vertex is at y = -4, so we have a translation down of 4 units, then we have:

g(x) = -x² - 4

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As per the unitary method, each piece is 3.25 meters long by dividing the total length of the ribbon by the number of pieces.

Larry has cut a ribbon into 8 equal pieces. The total length of the ribbon is 26 m. We need to find out the length of each piece of the ribbon.

To do this, we can use the unitary method. We know that the ribbon is divided into 8 equal pieces, so each piece is 1/8th of the total length of the ribbon.

Therefore, we can find the length of each piece by dividing the total length of the ribbon by 8:

Length of each piece = Total length of ribbon / Number of pieces

Length of each piece = 26 m / 8

Length of each piece = 3.25 m

So, each piece of the ribbon is 3.25 meters long.

We used the unitary method by finding the value of one unit (1/8th of the ribbon) and then using it to calculate the value of other units (the length of each piece).

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Answer:

Step-by-step explanation:

To work out the given expression without a calculator, we need to convert the numbers from their respective bases to decimal form and then perform the arithmetic operations. Let's break it down step by step:

11101010 base 2: To convert a binary number to decimal, we multiply each digit by the corresponding power of 2 and sum the results. So, let's calculate:

1 * 2^7 + 1 * 2^6 + 1 * 2^5 + 0 * 2^4 + 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 0 * 2^0 = 234.

2122 base 8: To convert an octal number to decimal, we multiply each digit by the corresponding power of 8 and sum the results. Let's calculate:

2 * 8^3 + 1 * 8^2 + 2 * 8^1 + 2 * 8^0 = 1090.

ABC base 16: To convert a hexadecimal number to decimal, we multiply each digit by the corresponding power of 16 and sum the results. Let's calculate:

10 * 16^2 + 11 * 16^1 + 12 * 16^0 = 2748.

123 base 8: We already know that 123 is in base 8 (octal), so we can directly convert it to decimal:

1 * 8^2 + 2 * 8^1 + 3 * 8^0 = 83.

Now, let's perform the arithmetic operations:

234 + 1090 + 2748 - 83 = 3989.

Therefore, the result of the given expression in decimal form is 3989.

While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.

Here's a three-column table evaluating how learning takes place according to Piaget, Vygotsky, and Bruner:

Theorist Approach to Learning Key Concepts

Piaget Constructivism 1. Schema: Individuals actively construct their knowledge through assimilation and accommodation, organizing information into mental structures called schemas. 2. Stages of Development: Learning occurs through cognitive development stages, from sensorimotor to formal operational, where individuals progressively acquire more complex mental abilities. 3. Active Exploration: Children learn best through hands-on exploration and interactions with the physical world.

Vygotsky Sociocultural Theory 1. Zone of Proximal Development (ZPD): Learning takes place within the gap between a learner's actual developmental level and their potential level with guidance from a more knowledgeable other. 2. Social Interaction: Learning is facilitated through social interactions with peers and adults, such as cooperative learning and scaffolding. 3. Cultural Tools: The use of language, symbols, and cultural artifacts plays a central role in cognitive development and learning.

Bruner Constructivism 1. Scaffolding: Instruction should provide support and guidance tailored to the learner's current abilities to help them progress to higher levels of understanding. 2. Discovery Learning: Learners construct knowledge by actively exploring and discovering concepts and relationships on their own. 3. Spiral Curriculum: Learning is organized in a spiral manner, revisiting key concepts and building upon previous knowledge in a progressive and interconnected way.

While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.

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With the help of the given tabular data, we can conclude that the number of bananas will become smaller as one moves down the table.

Here,

According to the table,

The number of bananas will become smaller as one moves down the table.

Therefore, with the help of the given tabular data, we can conclude that the number of bananas will become smaller as one moves down the table.

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Complete question:

Bill has 5 apples and 5 bananas. He can only put 5 pieces of fruit in a bowl. Will the number of bananas get smaller or larger as you move down the table? How do you know?

The table has been attached

The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.

The sequence is defined by the following formula:

a1 = 1, a2 = 3,

and

an = (-1)nan - 1 + an - 2 for n ≥ 3.

To find the third term (a3), we substitute n = 3 into the formula:

a3 = (-1)(3)(a3 - 1) + a3 - 2.

Next, we simplify the equation:

a3 = -3(a2) + a1.

Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:

a3 = -3(3) + 1.

Simplifying further:

a3 = -9 + 1.

Therefore, the third term (a3) is equal to -8.

To find the fourth term (a4), we substitute n = 4 into the formula:

a4 = (-1)(4)(a4 - 1) + a4 - 2.

Simplifying the equation:

a4 = -4(a3) + a2.

Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:

a4 = -4(-8) + 3.

Simplifying further:

a4 = 32 + 3.

Therefore, the fourth term (a4) is equal to 35.

To find the fifth term (a5), we substitute n = 5 into the formula:

a5 = (-1)(5)(a5 - 1) + a5 - 2.

Simplifying the equation:

a5 = -5(a4) + a3.

Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:

a5 = -5(35) + (-8).

Simplifying further:

a5 = -175 - 8.

Therefore, the fifth term (a5) is equal to -183.

In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.

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Answer: bottom right

The range of the function on the graph would be: D. all real numbers greater than or equal to 2

To obtain the range, observe the y values whose result can be obtained by the function of x. To obtain this range, we examine the graph and note that the range begins from 2 on the y-axis and extends upwards.

So, if we wish to define our range, we will enter all real numbers that are equal to or greater than 2 as seen in the direction of the graph.

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Answer:

There will be 32805 dandelions after 3 weeks

Step-by-step explanation:

To determine number of dandelions after 3 weeks

1 week = 7 days

∴ 3 weeks = 3 × 7 days = 21 days

Hence, we will determine the number of dandelions after 21 days.

From the question,

The number of dandelions growing on the lawn triples every 3 days and if the lawn started out with 15 dandelions,

Then, After 3 days, there will be 3 × 15 dandelions = 45 dandelions

After 6 days, there will be 3 × 45 dandelions = 135 dandelions

After 9 days, there will be 3 × 135 dandelions = 405 dandelions

After 12 days, there will be 3 × 405 dandelions = 1215 dandelions

After 15 days, there will be 3 × 1215 dandelions = 3645 dandelions

After 18 days, there will be 3 × 3645 dandelions = 10935 dandelions

After 21 days, there will be 3 × 10935 dandelions = 32805 dandelions

Hence, there will be 32805 dandelions after 3 weeks.  

Answer:

Step-by-step explanation:

y=mx + b where b= y intercept(when x=0) and m= slope(rise/run)

so there is a slope of 4 and a y intercept of 9

so starting from 9, you go up 4, and to the right 1. and that just repeats till you're satisfied.

The equation of the line is y = x.

To find the equation of a line given its graph, you need to follow the steps below.

Step 1: Determine the slope of the line.The slope of the line can be determined using the formula: slope = rise/run or m = Δy/Δx. Rise is the change in the y-coordinates and run is the change in the x-coordinates.

Step 2: Determine the y-intercept of the line.The y-intercept is the point where the line intersects the y-axis. You can determine the y-intercept by looking at the point where the line crosses the y-axis on the graph. The y-intercept is denoted by the letter b.

Step 3: Write the equation of the lineThe equation of the line can be written in slope-intercept form, which is y = mx + b. The slope (m) and y-intercept (b) that were determined in steps 1 and 2 are used to substitute into this equation. Thus, the equation of the line becomes y = slope(x) + y-intercept.

Example:Let's say you are given the graph of a line below: .

Step 1: Determine the slope of the line.To determine the slope of the line, you need to choose two points on the line and calculate the rise and run. Let's choose the points (2, 1) and (4, 3). The rise is 2 (3 - 1) and the run is 2 (4 - 2). Therefore, the slope of the line is: m = 2/2 = 1.

Step 2: Determine the y-intercept of the lineThe line crosses the y-axis at the point (0, 0). Therefore, the y-intercept of the line is b = 0.

Step 3: Write the equation of the line.The equation of the line in slope-intercept form is y = mx + b. Substituting the slope and y-intercept into this equation gives: y = 1x + 0 or y = x.

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\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

Consider the number as x

let's solve ~

\(\qquad \sf  \dashrightarrow \:6(x + 20) = 26\)

\(\qquad \sf  \dashrightarrow \:6x + 120 = 26\)

\(\qquad \sf  \dashrightarrow \:6x = - 120 + 26\)

\(\qquad \sf  \dashrightarrow \:6x = -94\)

\(\qquad \sf  \dashrightarrow \:x = - 94 \div 6\)

\(\qquad \sf  \dashrightarrow \:x = \dfrac{ - 47}{3} \)

・ ．━━━━━━━†━━━━━━━━━．・

Answer:

\((x + 20) 6 = 26\)

\(6x + 120 = 26\)

\(6x = 26 - 120\)

\(6x = - 94\)

\( \displaystyle \: x = \frac{ - 94}{6} \)

\( \displaystyle{x = \frac{ - 47}{3} }\)

\(\red {\rule{35pt}{2pt}} \green{ \rule{35pt}{2pt}}\orange{ \rule{35pt}{2pt}}\pink{ \rule{35pt}{2pt}}\blue{ \rule{35pt}{2pt}}\purple{ \rule{35pt}{2pt}}\red{ \rule{35pt}{2pt}}\)

\( \bold{ \displaystyle{x = - \frac{47}{3} }}\)

Answer:

  D. Square

Step-by-step explanation:

You want the best name for the quadrilateral with vertices (-3, 0), (-3, -3), (0, -3), and (0, 0).

A graph of the points is shown in the attachment. We notice the vertices are aligned with the grid, so the corner angles are all right angles.

The differences of x-coordinates and y-coordinates are both 3, so the side lengths of this rectangle are all 3 units.

The figure is all of a rectangle, rhombus, and square.

The most specific name for the figure is Square.

__

Additional comment

A trapezoid has one pair of parallel sides. This figure has two pairs of parallel sides, so is not a trapezoid.

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Answer:

Step-by-step explanation:

yth ok

Answer:

Agree

Step-by-step explanation:

Just copy and paste (without quotations): "I agree because r < -5 is just a flipped inequality of -5 > r. In other words, 'r is less than -5' is the same as '-5 is greater than r'."

The equation 2x + (2x + 8) + x + (x - 32) = 360° can be used to solve for x which makes option D correct. The variable x for the arc angles is equal to 64.

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

The arcs together is the circumference of the circle O and they subtends the angle at the center of the circle which is 360° so;

2x + (2x + 8) + x + (x - 32) = 360°

6x - 24 = 360

6x = 360° + 24 {collect like terms}

6x = 384

x = 384/6 {divide through by 6}

x = 64

Therefore, the equation 2x + (2x + 8) + x + (x - 32) = 360° can be used to solve for x, and the variable x for the arc angles is equal to 64.

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Answer: 19:30 is the current time as per the 24-hour time format

Step-by-step explanation: We know that a day has 24 hours. The time can be shown in two different formats- the 12-hour format and the 24-hour format. 12 hour format ranges only from 1-12 on the hour while 24-hour format varies from 1-24 representing the hour.

      The 24 hour time format is quite simple- marks one number each for one hour. If the Reading says 19:30, it simply means hour 19 of that day. 12-hour time format is different since it makes use of A.M. (Ante Meridiem) and P.M. (Post Meridiem).

Credit analysis is nοt a cοmpοnent included in a standard business plan.

Thus option D is correct.

The typical business plan is a single dοcument with many parts fοr variοus cοmpοnents, including a descriptiοn οf the cοmpany, market research, cοmpetitive analysis, sales tactics, capital and labοr requirements, and financial infοrmatiοn.

A standard business plan dοes nοt include Credit Analysis. The rest three elements: Implementatiοn plan, Organizatiοn Plan and Market analysis are a must thing fοr a business plan.

Withοut any οf these 3 the business plan is incοmplete and the purpοse οf business plan will nοt be served.

Therefοre, Answer is Credit analysis is nοt a cοmpοnent included in a standard business plan.

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The nonlinear- function which represents b(9)=4 is given by b(x)=72/x - 4 .

In mathematics and physics, a nonlinear system is one in which the change in the output is not proportional to the change in the input. Engineers, biologists, physicists, mathematicians, and many other scientists are interested in nonlinear problems since the majority of systems are inherently nonlinear.

Nonlinear function graphs don't resemble lines at all. It contains the formula f(x) = ax + b. Its equation can take any form, with the exception of f(x) = ax + b. The slope of the curve is the same between any two points. The point pairs on the graph do not all have equal slopes.

Of all the given options: the only equations which imply that b(9)=4  are :

i) b(x)=72/x - 4 and  (iv) b(x)=4

Of this two options only the first option is non-linear.

Hence the required option is  b(x)=72/x - 4 .

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Disclaimer:

The missing options are:

i)   b(x) = 72/x - 4

ii) b(x) = √x + 7

iii)b(x)  = 2x+1

iv) b(x) = 4

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Let z = 2 - 2√3 i. In polar form, we have

\(z = |z| e^{i\arg(z)}\)

where

\(|z| = |2-2\sqrt3| = \sqrt{2^2 + (-2\sqrt3)^2} = 4\)

\(\arg(z) = \tan^{-1}\left(-\dfrac{2\sqrt3}2\right) = -\tan^{-1}(\sqrt3) = -\dfrac\pi3\)

Equivalently,

\(z = 4\left(\cos\left(-\dfrac\pi3\right) + i\sin\left(-\dfrac\pi3\right)\right)\)

Let w be a complex number such that w ² = z. By DeMoivre's theorem,

\(z = 4\left(\cos\left(-\dfrac\pi3\right) + i\sin\left(-\dfrac\pi3\right)\right) \\\\ \implies z^{1/2} = 4^{1/2} \left(\cos\left(\dfrac{-\frac\pi3+2k\pi}{2}\right) + i \sin\left(\dfrac{-\frac\pi3+2k\pi}{2}\right)\right)\)

where k ∈ {0, 1}. So the two square roots of z are

\(z^{1/2} = \begin{cases}2\left(\cos\left(-\dfrac\pi6\right) + i\sin\left(-\dfrac\pi6\right)\right) & \text{for }k=0 \\\\ 2\left(\cos\left(\dfrac{5\pi}6\right) + i\sin\left(\dfrac{5\pi}6\right)\right) & \text{for }k=1\end{cases}\)

\(z^{1/2} = \begin{cases}2\left(\dfrac{\sqrt3}2 - \dfrac12 i\right) & \text{for }k=0 \\\\ 2\left(-\dfrac{\sqrt3}2 + \dfrac12 i\right) & \text{for }k=1\end{cases}\)

\(\boxed{z^{1/2} = \begin{cases}\sqrt3 - i & \text{for }k=0 \\ -\sqrt3 + i & \text{for }k=1\end{cases}}\)

Answer:

x^2 +3x -3

Step-by-step explanation:

f(x) = 3х – 5

g(x) = х^2+ 2,

(f+g)(x) = 3х – 5 +х^2+ 2

Combine like terms

         = x^2 +3x -3

To find the expected number of dog owners who brush their dog's teeth, we can multiply the total number of dog owners (639) by the percentage that brush their dog's teeth (18% or 0.18).

Expected number of dog owners who brush their dog's teeth = 639 x 0.18

= 115.02 (rounded to the nearest whole number)

So, we can expect about 115 dog owners out of 639 to brush their dog's teeth.

Answer:

1

Step-by-step explanation:

The range is the output values

The only output value is y=1

The range is 1

Answer:

A function is defined as a relation between a set of inputs having one output each..

Step-by-step explanation:

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

¿Qué es la función explicar?

Una función se define como una relación entre un conjunto de entradas que tienen una salida cada una. En palabras simples, una función es una relación entre entradas donde cada entrada está relacionada exactamente con una salida. Cada función tiene un dominio y un codominio o rango. Una función generalmente se denota por f(x) donde x es la entrada.

Answer:

x=12

Step-by-step explanation:

(9^5)(9^7)=9^x

282429536481=9^x

Step 1: Flip the equation.

9^x=282429536481

Step 2: Solve Exponent.

9^x=282429536481

log(9^x)=log(282429536481)(Take log of both sides)

x*(log(9))=log(282429536481)

x=log(282429536481)/log(9)

x=12

Answer:

The student must pay 4247.5 - 4000 = 247.50 dollars in interest

Step-by-step explanation: