Find the area of the shaded region

The expression -√3 sin x + cos x in the desired form k sin(x+0), where k = -1.732 and 0 = π/2. Therefore, -√3 sin x + cos x = -1.732 sin(x+π/2)

We can start by trying to write the expression in the form k sin(x+0), where k is some constant and 0 is an angle. To do this, we'll need to use some trigonometric identities.

First, note that -√3 is the same as -1.732, which is the negative square root of 3.

Next, we can use the identity sin(a+b) = sin(a)cos(b) + cos(a)sin(b) to write:

-1.732 sin(x) + cos(x)

= -1.732 sin(x) + 1 sin(x + π/2)

= sin(x + π/2) (-1.732 cos(π/2) + 1 sin(π/2))

= sin(x + π/2) (-1.7320 + 11)

= sin(x + π/2) (-1.732)

So we have expressed the expression -√3 sin x + cos x in the desired form k sin(x+0), where k = -1.732 and 0 = π/2. Therefore, -√3 sin x + cos x = -1.732 sin(x+π/2)

Learn more about expressions on

https://brainly.com/question/1859113

#SPJ1

Answer:

C. $755 i got it right

Step-by-step explanation:

If you make only the minimum payment each month, the total cost of the computer will be $755.00, which is $155 more than the original cost of the computer ($600).

percentage, a relative value indicating hundredth parts of any quantity.

To calculate the total cost of the computer if you make only the minimum payment each month, we need to use the simple interest formula:

A = P(1 + rt)

where A is the total amount paid, P is the principal or balance, r is the annual interest rate expressed as a decimal, and t is the time in years.

P = $600

r = 12.9% or 0.129 (annual interest rate)

t = 2 years

To find the monthly interest rate, we divide the annual interest rate by 12 (the number of months in a year):

Monthly interest rate = 0.129 / 12 = 0.01075

Now, we can use this monthly interest rate to calculate the minimum monthly payment:

Minimum monthly payment = 1% x P = 0.01 x $600 = $6

Therefore, the minimum monthly payment is $6.

To find the total cost of the computer over the 2-year period, we need to calculate the total amount paid (A) by making the minimum monthly payment each month:

A = P(1 + rt)

A = $600(1 + 0.01075 x 2 x 12)

A = $600(1 + 0.258)

A = $755.00

Therefore, if you make only the minimum payment each month, the total cost of the computer will be $755.00, which is $155 more than the original cost of the computer ($600).

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ3

Answer:

106.62729675 ft

Step-by-step explanation:

1 meter = 3.2808399 feet

32.5 * 3.2808399 = 106.62729675 ft

Answer:

square root of 25

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

the square root of 25 is 5, and thats the only rational number there

I hope I was helpful! :D

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.

For more questions on perspectives

https://brainly.com/question/6993294

#SPJ8

Answer:

What is the question?

Step-by-step explanation:

They would spend $26.22 if they bought all three items.

Step-by-step explanation:

The statements that describe the graph are,

The ball travels 24 cm in 1s.

It takes the ball 2s to complete a cycle

The midline is at f(x)=0

I hope it helped you

EXPLANATION

Given the sequence where a_11=-3 and d=2

This is an arithmetic sequence with the following equation:

Replacing terms:

Removing the parentheses:

Multiplying numbers:

Subtracting -20 to both sides:

The answer is a_1=-23

Answer:

65º

Step-by-step explanation:

(the sum of the angles of a triangle) 180- 65= 115

65= 30+ 35

180- 115=65

Answer:

I'm pretty sure the answer is 65

Step-by-step explanation:

30+35=65

180-65=115

So the 3rd angle in the triangle is 115°

Then you subtract 115 from 180 and get 65°

So S equals 65°

Answer:

a) SE = 25

b) MOE = 41

c) CI = 1951 ; 2049

Step-by-step explanation:

Normal distribution

Population mean  unknown

Population standard deviation    σ  = 350     Kwh

a) The standard error of the mean SE is

SE  =  σ/√

SE = 350 /√196

SE = 350/14

SE = 25

b) If confidence nterval is 95%    or 0,95  then

α = 0,05

And from z table we get     z(c) = 1,64

MOE = z(c) * SE

MOE = 1,64 * 350/√196

SE = 1,64 * (350)/14

SE = 41

MOE = And from z tabl we get     z(c) = 1,64

MOE = 1,64 * 350/√196

MOE = 1,64 * (350)/14

MOE = 1,64 * 25

MOE = 41

c) The confidence interval is:

Z = 2000

α = 1- 0,95

α = 0,05       ⇒   α/2   =  0,025

CI  =   Z - z(α/2) * σ/√n   ;    Z + z(α/2) * σ/√n

z(α/2)   from z-table is:     z(0,025)  = 1,96

CI = 2000 -  1,96* 350/√196   ;   2000 + 1,96* 350/√196

CI = 2000 - 1,96*25  ;  2000 +  1,96*25

CI = 2000 -  49 ;  2000 + 49

CI = 1951 ; 2049

Answer:

f(x) = (x - 3)(x - 4)

Step-by-step explanation:

f(x)= x^2 -7x +12 factors immediately into f(x) = (x - 3)(x - 4

The roots are 3,4

Given statement solution is :-  The Vector Calculations and Addition results are as follows:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >

And 4 + 20 = 24.

To find the sum of 4 + 20, we simply add the two numbers together:

4 + 20 = 24

As for the given vectors, let's perform the requested calculations:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 4 + (-4), -2 + (-32) > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 7 - (-8), -3 - (-30) > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 5 + 2, -11 + 0, 0 + 0, 0 + 0 > = < 7, -11, 0, 0 >

Therefore, the Vector Calculations and Addition results are as follows:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >

And 4 + 20 = 24.

For such more questions on Vector Calculations and Addition

https://brainly.com/question/31866215

#SPJ11

Answer:

Step-by-step explanation:

B. The number is represented by a non terminating, non-repeating decimal.

(Strictly speaking it is irrational because it cannot be expressed as a ratio of two integers. All rational numbers can be expressed as a ratio of two integers.)

Answer:

Step-by-step explanation:

Answer:

x=-5, y=-8

Explanation:

I did it already

Answer:

Annual net salary = $22,584

Step-by-step explanation:

Given:

Monthly wage = $2,350

Withheld paycheck = $468

Find:

Annual net salary = ?

Computation:

Total net salary = Monthly wage - Withheld paycheck

Total net salary = $2,350 - $468

Total net salary = $1,882

Annual net salary = Total net salary × 12

Annual net salary = $1,882 × 12

Annual net salary = $22,584

Answer:

Distance = 8

Step-by-step explanation:

The length of the line between (8,6) and (8,-2) is 8.

The distance between (8, 6) and (8, -2) is 8 units.

Distance between two points is the length of the line segment that connects two given points.

\(d = \sqrt{(x_{2}-x_{1}) ^{2} +(y_{2} -y_{1}) ^{2} }\)

According to the given question

We have two points

(8, 6) and (8, -2)

Let,

\((x_{1} ,y_{1} ) = (8,6)\)

and, \((x_{2},y_{2}) =(8,-6)\)

Therefore,

The total distance between (8, 6) and (8, -2)

\(=\sqrt{(8-8)^{2}+(-2-6)^{2} }\)

\(=\sqrt{0+(-8)^{2} }\)

\(=\sqrt{64}\)

\(=8\) unit

Hence, the distance between (8, 6) and (8, -2) is 8 units.

Learn more about the distance between the two points here:

https://brainly.com/question/18296211

#SPJ2

The two integers that represent the changes to Sierra's mother's checking account balance are -55 and -75, and the inequality is -55 + b >= -75.

A mathematical statement that defines the connection between two values that aren't always equal is known as an inequality. Mathematicians frequently compare the relative sizes of two numbers or variables using inequality. To display the range of values that meet an inequality, inequalities can also be graphed on a number line or on the coordinate plane.

The cost of the books will be deducted from the account.

Hence, the two integers that represent the changes to Sierra's mother's checking account balance are -55 and -75, and the inequality is -55 + b >= -75.

Learn more about inequality here:

https://brainly.com/question/30231190

#SPJ1

Answer:

Step-by-step explanation:

The probability of drawing a number that is divisible by 3 is 1/3, since there are 3 numbers (3, 6, and 9) out of the 9 possible numbers (1, 2, 3, 4, 5, 6, 7, 8, and 9) that are divisible by 3.

The probability of drawing a 1 after drawing a number that is divisible by 3 is 1/10, since there is only one 1 among the 10 possible digits (0-9) that could be drawn after the first number.

To find the probability of both events happening together (drawing a number divisible by 3 and then drawing a 1), we need to multiply the probability of the first event by the probability of the second event. Therefore, the probability of drawing a number divisible by 3 and then drawing a 1 is:

(1/3) x (1/10) = 1/30

So the probability of drawing a number divisible by 3 and then drawing a 1 is 1/30, or approximately 0.0333, or about 3.33%

Answer:

If I understand this correctly you can draw a 9 and then draw the one if I'm wrong just delete this

Step-by-step explanation:

To find the total time it takes for the airplane to travel from Mumbai to Tokyo via Seoul, we need to add the time taken for the Mumbai-Seoul leg and the Seoul-Tokyo leg.

The airplane takes 3.2 hours to fly from Mumbai to Seoul.

The airplane takes 1 1/3 hours to fly from Seoul to Tokyo, which is equivalent to 1.33 hours.

To find the total time, we add the two durations:

3.2 hours + 1.33 hours = 4.53 hours

Therefore, it takes approximately 4.53 hours for the airplane to travel from Mumbai to Tokyo if it flies through Seoul.

9514 1404 393

Answer:

  $20,020

Step-by-step explanation:

The future value formula is helpful.

  FV = P(1 +r)^t

  $80,000 = P(1.08^18) = 3.9960195P

  P = $80,000/3.9960195 = $20,019.92

They should invest about $20,020 now.

It is wider and shifted 3 units to the left , Option A is the right answer.

Function is a mathematical statement that shows relation between two variables.

The parent function given is

f(x) = |x|

The transformed function is given by

f(x) = 0.1|x -3|

The function is shifted towards the left

and as the scale factor is 0.1 therefore , It is wider

Therefore Option A is the right answer.

To know more about Function

https://brainly.com/question/21145944

#SPJ1

Answer:

The answer for this is B.

Step-by-step explanation:

Figured it out the hard way on EDGE. 2022

(╯‵□′)╯︵┻━┻

Step-by-step explanation:

Step-by-step explanation:

\(6(y + 1) > 6 \\ 6y + 6 > 6 \\ 6y > 0 \\ y > 0\)

Answer:

Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.

Now, let's find the new vertices of the dilated image:

Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).

Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).

Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).

Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).

Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).

Step-by-step explanation:

Hope this helps you!! Have a good day/night!!

The value of the z-score for the number 15  in a data set is 0.93.

Define z-score.

A data point's z-score, also known as a standard score, indicates how far it deviates from the mean. In practical terms, however, it's a measurement of how many standard deviations a raw number is from or above the population mean.

You can plot a z-score on a normal distribution graph. Z-scores can be anywhere between -3 and +3 standard deviations.

                     ∴  z = (x – μ) / σ

Given:

σ = 4.32

x = 15

Data set: 5, 7, 9, 11, 13, 15, 17

So, mean = 5 + 7 + 9 + 11 + 13 + 15 + 17/7

                = 77/7

            μ = 11

z = (x – μ) / σ

  = (15 - 11)/4.32

   = 4/4.32

z  = 0.93

To know more about z-score visit:

brainly.com/question/15016913

#SPJ1

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

For more such questions on expression

https://brainly.com/question/1859113

#SPJ8

Answer:

It takes longer on the moon

Step-by-step explanation:

so say d is 64.

on earth: time is: 0.45*8

on moon: time is: 1.11*8

moon is slower

Answer:

Step-by-step explanation:

Earth:

\(t_{Earth}\) = 0.45 √50 = 2.25 √2 ≈ 3.18

Moon:

\(t_{moon}\) = 1.11 √50 = 5.55 √2 ≈ 7.85

\(t_{moon}\) > \(t_{Earth}\)

It takes more time on the moon for a rock to fall 50 m.

We can conclude that -

        Q = 5(280 - P)

Given is a story of Dr. Leona Williams who is a well-known plastic surgeon.

{ 1 } -

Dr. Williams estimated demand for her work is -

Q = 280 - 0.2P

Inverse of a function can be calculated by following the steps mentioned below -

So, we can write -

P = 280 - 0.2Q

P - 280 = - 0.2Q

- (280 - P) = - 0.2Q

(280 - P) = 0.2Q

Q = (280 - P)/0.2

Q = 5(280 - P)

{ 2 } -

The average variable cost function for reconstructive nose surgery is -

AVC = 2Q² – 15Q + 400

Let AVC = A{Q}

For maximum profit -

d/dQ (A{Q}) = 0

d/dQ (2Q² – 15Q + 400) = 0

d/dQ (2Q²) - d/dQ (15Q) + d/dQ (400) = 0

4Q - 15 = 0

4Q = 15

4Q = 15

Q = 3.7

Q = 4 {approx.}

Therefore, we can conclude that -

        Q = 5(280 - P)

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ1