Which statement about the polynomial function g(x) is true?

If the radius of the circle is 5 m and angle subtended by arc LKM is 70° then the length of the arc LNM is 25.29 m.

Given that the radius of the circle is 5 m and angle subtended by arc LKM is 70°.

From the figure given we can estimate that the length of arc LNM can be circumference of circle subtracted by length of arc LKM.

Circulference of the circle is basically the length of whole arc of the circle. It is also know as perimeter of the circle. The formula of calculating circumference of a circle is 2πr in which r is the radius.

So,

length of arc LNM=Circumference of circle-length of arc LKM.

We know that length of an arc =Θr

in which Θ is the angle in radian.

length of arc=70*π\(/180*5\)

=70π\(/36\)

Circumference of circle=2π*5

=10π

Length of arc LNM=10π-70π\(/36\)

=(360π-70π)\(/36\)

=290π\(/36\)

Put π=3.14

=290*3.14\(/36\)

=910.6\(/36\)

=25.29m

Hence the length of arc LNM is 25.29 m.

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Answer: 2x+52=2(x+26)

3x-35=-105

Step-by-step explanation:

Answer:

Only when any equation you find among those numbers can be simplified into one of the four main equations, which means you only have four different true statements and lots of equivalences. 20 = 40 - 20. As the two addends are the same, so there would be only four different equations for a set of math mountain numbe

Step-by-step explanation:

Answer:

8ab^2

Step-by-step explanation:

(4a^2/3 x 2a^1/3)(b^1/2 x b^3/2)

8a^(2/3+1/3) x b^(1/2+3/2) = 8a^1 x b^2

Answer:

y = -1

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

There are 24 pieces of fruit in the basket.

Step-by-step explanation:

There are 24  pieces of fruit in the basket because to find how many there are you would do \(\\ \frac{6}{5\\}\\ \\\) · \(\frac{5}{6}\)f = 20 · 6/5 times 5/6 cancels out, and 20 time 6/5 is 24. 20/24 can also simplify to 5/6.

Hope this helps!

(Make sure to stream ON, Black Swan. Boy With Luv, Mic Drop, and etc.!)

Answer:

Step-by-step explanation:

208

Vector v can be written as the sum of two vector components, \(v_x = -5i\)  and \(v_y = 6j\)

To write vector v as the sum of two vector components, we need to decompose it into two vectors along different directions.

v = -5i + 6j

w = 3i + 4j

We can decompose vector v into two components, one along the x-axis and the other along the y-axis.

Let's denote the component along the x-axis as \(v_x\) and the component along the y-axis as \(v_y.\)

The x-component, \(v_x,\) represents the projection of vector v onto the x-axis and can be found using the dot product of v and the unit vector i:

\(v_x = v . i = (-5i + 6j) . i = -5i . i + 6j . i = -5\)

Similarly, the y-component, \(v_y,\) represents the projection of vector v onto the y-axis and can be found using the dot product of v and the unit vector j:

\(v_y = v . j = (-5i + 6j) . j = -5i . j + 6j . j = 6\)

Now, we can write vector v as the sum of its components:

\(v = v_x + v_y = -5i + 6j\)

So, vector v can be written as the sum of two vector components: -5i along the x-axis and 6j along the y-axis.

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Answer:

Yes

Step-by-step explanation:

The left side  19  is less than the right side  20 , which means that the given statement is always true.

The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².

In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided, we have the following parameters for the equation of this circle:

By substituting the given parameters, we have:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - 1)² = 5²

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Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

Answer:

48.8°

Step-by-step explanation:

tangent = opposite / adjacent

tan x = 200 / 175

tan x = 1.143

Take the inverse tangent of both sides

x = 48.8°

If a textbook store sold a combined total of 447 sociology and math textbooks in a week. The number of  textbooks of each type  that were sold is: 195 Math textbooks, 138  Sociology textbooks.

Let x represent the number of math textbooks

Let y represent the number of sociology

Altogether bookseller sold 447 math and sociology textbooks

Hence,

x + y = 447

Since the number of sociology textbooks sold was 57 less than the number of math books sold.

So:

y = x - 57

Substitute for y in the equation

x + y = 447

x + (x - 57) = 447

2x - 57 = 447

Combine like terms

2x = 447 -57

2x = 390

Divide both side by 2x

x = 390/2

x = 195 (Math textbooks)

y = x - 57

y = 195 -57

y = 138 ( Sociology textbooks)

Therefore 195 and 138 textbooks were sold.

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The scale factor of a dilation is determined by dividing the dimensions of the new shape by dimensions of the original shape.

Dilation refers to the process of resizing or transforming an object. In other words, it is a transformation that produces an image that is the same shape as the original but is a different size. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. A dilation that creates a larger image is called enlargement. A dilation that creates a smaller image is called a reduction or contraction. Hence, the formula for scale factor is given by: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

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At 17:30 the shipment arrive in Dallas (GMT -6) , if it departs Edmonton (GMT -7) at 14:45 p.m. on Thursday.

The time difference of two zone is -7-(-6) = -1

The shipment departs at 14:45 pm

flight took time = 3:45 min

adding the time = 14:45 + 3:45

                           = 18:30

So it arrived at Dallas at 18:30 according to Edmonton (GMT -7)

It arrived in Dallas according to Dallas (GMT -6) = 18:30 - 1 hour

                                                                                = 17:30

A time zone is a region where everyone adheres to the same standard time for social, business, and legal activities. Because it is simpler for regions that communicate often to maintain the same time, time zones frequently follow national borders and their subdivisions rather than strictly following longitude.

Coordinated Universal Time (UTC), which ranges from UTC12:00 to UTC+14:00, is used to determine all time zones. Most zones have full hour offsets, but some, like those in India, South Australia, and Nepal, have additional offsets of 30 or 45 minutes.

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Answer:

y=-6

Step-by-step explanation:

Hi there!

We are given the equation 7y+15=-27 and we want to solve it for y

Our goal is to isolate 1y (also written as just simply y) by itself on one side.

So let's subtract 15 from both sides to remove it from the left side:

7y+15=-27

   -15   -15

_____________

7y     =  -42

Now there are no numbers on the left side, but we aren't done yet. Remember that we want to find 1y, not 7y.

Dividing any number by itself will result in 1 (ex. 3÷3=1). Therefore, we should divide both sides by 7 to find the value of 1y

7y = -42

÷7   ÷7

__________

y = -6

Hope this helps!

a.) The independent variable is the different types of music

b.) The dependent variable is the impact of listening felt by the rats

c.)An extraneous variable is the length of the maze.

d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.

A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.

For question a.)

The independent variable is the different types of music

For question b.)

The dependent variable is the impact of listening felt by the rats

For question c.)

An extraneous variable is the length of the maze.

For question d.)

The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

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Answer:

11

Step-by-step explanation:

√3x+16=7

3x+16=7^2

3x+16=49

3x=49-16

3x=33

X=33/3

X=11

So the answer is 11

Answer:

- L < 1, so by series ratio test, It is convergent

- sum of the convergent series is 49

Step-by-step explanation:

Given the data in the question;

series = 7 + 6 + 36/7 + 216/49 + .........

⇒ 7 + 7 × 6/7 + 7 × 36/49 + 7 × 216/343 +........

⇒ 7 + 7 × 6/7 + 7 × 6²/7² + 7 × 6³/7³ .....

⇒ 7( 1 + 6/7 + 6²/7² + 6³/7³ + ..... )

⇒ 7 ∞∑_\(_{n=0\) \((\) 6/7 \()^n\)

⇒ ∞∑_\(_{n=0\) ( \(6^n\)/\(7^{n-1\) )

So, L =  \(\lim_{n \to \infty} | \frac{a_{n} + 1}{a_n} |\)

= \(\lim_{n \to \infty} | \frac{\frac{6^n+1}{7n} }{\frac{6^n}{7^n-1} } |\)

= \(\lim_{n \to \infty} | \frac{6}{7} |\)

= 6 /7

L < 1

so by series ratio test,

It is convergent

So we find the sun;

Sum of  infinite geometric series is;

⇒ a / (1-r)

here, a = first number and r = common ratio

∑ = 7( 1 + 6/7 + 6²/7² + 6³/7³ + ..... )

a = 1 and r = 6/7

so

∑ = 7( \(\frac{1}{1 - \frac{6}{7} }\) )

= 7( \(\frac{1}{\frac{7-6}{7} }\) )

= 7( \(\frac{1}{\frac{1}{7} }\) )

= 7( 7 )

= 49

Therefore, sum of the convergent series is 49

Answer:

25

Step-by-step explanation:

19 *100/76

Number into 100 by percentage

Answer:

its is 192 I just took this assignment

Answer:

y = 14

Step-by-step explanation:

Area of rectangle = 308 m²

Length = (6y - 7) m

Width = 4 m

Area of rectangle = length × width

Plug in the values

308 = (6y - 7) × 4

308 = 6y×4 - 7×4

308 = 24y - 28

Add 28 to both sides

308 + 28 = 24y

336 = 24y

Divide both sides by 24

14 = y

y = 14

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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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To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:

1. Determine the ratio between the first and last parts. In this case, it is 2:3.

2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.

3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.

4. Multiply the value of each part by the respective ratio values to obtain the individual parts:

- First part: 2 * 6 = 12

- Second part: 6

- Third part: 6

- Fourth part: 6

- Last part: 3 * 6 = 18

Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.

There are infinitely many coterminal angles since we can continue adding or subtracting multiples of 360°.

To find an angle that is coterminal with 112°, we can add or subtract multiples of 360°, which represents one full revolution in the same direction.

To find a positive coterminal angle, we can add multiples of 360°:

112° + 360° = 472°

112° + 2(360°) = 832°

112° + 3(360°) = 1192°

and so on...

To find a negative coterminal angle, we can subtract multiples of 360°:

112° - 360° = -248°

112° - 2(360°) = -608°

112° - 3(360°) = -968°

and so on...

Therefore, some coterminal angles with 112° are 472°, 832°, 1192° for positive angles, and -248°, -608°, -968° for negative angles. There are infinitely many coterminal angles since we can continue adding or subtracting multiples of 360°.

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