w^2 - 2w +1 -(w^2 - 4w +3)
Where to start first?​

Answer:

Answer will be zero , since the value of x and y are zero and any value multiply with zero will be zero only .

Answer:

Step-by-step explanation:

Given a circle of radius 7 m with central angle AOB = 150°, you want the length of long arc AB and the area of the sector it bounds.

The length of an arc of a circle is ...

  s = rθ

where θ is the central angle in radians.

Here, the long arc in degrees is 360° -150° = 210°. In radians, that is ...

  210° = 210°×π/180° radians = 7π/6 radians

So, the arc length is ...

  s = (7 m)(7π/6) = 49π/6 m . . . . arc length

The area of the sector is half the product of the arc length and the radius; (You can think of it as a kind of triangle.)

  A = 1/2s·r

  A = 1/2(49π/6 m)(7 m) = 343π/12 m² . . . . area

The significance level is set at 5% and the probability of the result is 3.6% which is less than the significance level. The result is statistically significant

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true

The probability of the treatment group’s mean being greater than the control group’s mean by 8 points or more will be:

= (26 + 8 + 2)/1000

= 36/1000

= 0.036

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y = 6x + 2 is the function which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.

The linear function in the form y = mx + b represents the situation where y represents the cost of the babysitting job

x represents the number of hours, "m" represents the hourly rate, and "b" represents the additional fee (bus fare).

y = 3x + 2 represents an hourly rate of 3 and an additional fee of 2.

y = 3x + 1 represents an hourly rate of 3 and an additional fee of 1.

y = 6x + 2 represents an hourly rate of 6 and an additional fee of 2.

y = -6x + 2 represents a negative hourly rate of -6 and an additional fee of 2.

Hence, y = 6x + 2 is the which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.

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Answer:

4  1/7

Step-by-step explanation:

I divided 5  4/5 by 1  2/5

Answer:

  12√2 feet ≈ 16.97 feet

Step-by-step explanation:

For the dimensions shown in the attached diagram, the distance "a" along the ladder from the ground to the fence is ...

  a = (6 ft)/sin(x) = (6 ft)/sin(0.82) ≈ 8.206 ft

The distance along the ladder from the top of the fence to the wall is ...

  b = (6 ft)/cos(x) = (6 ft)/cos(0.82) ≈ 8.795 ft

__

In general, the distance along the ladder from the ground to the wall is ...

  L(x) = a +b

  L(x) = 6/sin(x) +6/cos(x)

This distance will be shortest for the case where the derivative with respect to x is zero.

  L'(x) = 6(-cos(x)/sin(x)² +sin(x)/cos(x)²) = 6(sin(x)³ -cos(x)³)/(sin(x)²cos(x²))

This will be zero when the numerator is zero:

  0 = 6(sin(x) -cos(x))(1 -sin(x)cos(x))

The last factor is always positive, so the solution here is ...

  sin(x) = cos(x)   ⇒   x = π/4

And the length of the shortest ladder is ...

  L(π/4) = 6√2 + 6√2

  L(π/4) = 12√2 . . . . feet

_____

The ladder length for the "trial" angle of 0.82 radians was ...

  8.206 +8.795 = 17.001 . . . ft

The actual shortest ladder is ...

  12√2 = 16.971 . . . feet

The approximate number of guests that were children are 172 and adults are 278

From the complete question, we have the following system of equations

25x + 12y = 9014

x + y = 450

Make y the subject in x + y = 450

y = 450 -x

Substitute y = 450 - x in 25x + 12y = 9014

25x + 12(450 - x) = 9014

Expand the expression

25x + 5400 - 12x = 9014

Evaluate the like terms

13x = 3614

Divide both sides by 12

x = 278

Substitute x = 278 in y = 450 -x

y = 450 - 278

Evaluate

y = 172

Hence, the approximate number of guests that were children are 172 and adults are 278

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The volume of the cylinder with the same radius and double the height is 2πx²h in³.

To find the volume of a cylinder, we use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

In this case, we are given a cylinder with a certain radius and height, and we need to find the volume of another cylinder with the same radius but double the height.

Let's assume the radius of the cylinder is x, and the original height is h.

The volume of the original cylinder is V = πx²h.

Now, we need to find the volume of the cylinder with the same radius (x) but double the height (2h).

The volume of this cylinder is V' = πx²(2h) = 2πx²h.

So, the volume of the second cylinder is twice the volume of the first cylinder.

Therefore, the volume of the second cylinder is 2 times the volume of the first cylinder, which can be expressed as 2V = 2πx²h.

Therefore, the volume of the cylinder with the same radius and double the height is 2πx²h in³.

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Answer:

y = 7

Step-by-step explanation:

3y + (y+1) + (4y-3) = 54

3y + y + 4y + 1 - 3 = 54

8y - 2 = 54

8y = 54 + 2

8y = 56

y = 56/8

y = 7

Check:

3*7 + (7+1) + ((4*7)-3) = 54

21 + 8 + 28-3 = 54

29 + 25 = 54

Answer:

Step-by-step explanation:

\(r=\frac{-28}{56}=-\frac{1}{2}\\a_{n}=\frac{-1}{2}a_{n-1}\)

The recursive formula for the sequence is aₙ = (-1/2) * aₙ₋₁

A sequence of numbers such that the consecutive term is increasing or decreasing by a fixed ratio is called a geometric series.

The standard equation for geometric series is

Tₙ = a₁ rⁿ⁻¹

The formula above represents the explicit formula to determine the nth term of the sequence.

The recursive formula is used to determine the nth term when (n-1) th term is given.

The geometric sequence is,

56, -28, 14, -7,.................

The first term of the sequence is 56

The common ratio is determined by taking the ratio of the second term to the first term.

r = -28/56 = -1/2

The recursive formula is represented by,

aₙ = r * aₙ₋₁

aₙ = (-1/2) * aₙ₋₁

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9514 1404 393

Answer:

  sometimes

Step-by-step explanation:

For positive numbers, multiplying by a factor greater than 1 increases their value:

  (1/2) × 2 = 1 > 1/2

For negative numbers, multiplying by a factor greater than 1 decreases their value:

  (-1//2) × 2 = -1 < -1/2

So, "sometimes" the product will be less than the given fraction.

Answer:

-3x + 9 -9 = -15 -9

-3x = -24

-3x ÷ -3 = -24 ÷ -3

x = 8

Answer:

111 is a great place to be your friend

Step-by-step explanation:

I am not it to 3rd or 3rd to be friends

Answer:

220

Step-by-step explanation:

44 divided by 4 = 11

11 times 20 = 220 so that's the answer

BRAINLIEST PLEASE

Answer:

A=1633

B=1617

C=1610

D=1626

Step-by-step explanation:

I am not totally sure about 3409 ?

None of the following option sum up to 3400 or close.

Sum is addition

According to the question given we have to determine which of the following is 3409.

A. ( 3 × 104 ) + ( 4 × 103 ) + ( 9 × 101 )

= 312 + 412 + 909.

= 724 + 909

= 1633.

B.  ( 3 × 103 ) + ( 4 × 102 ) + ( 9 × 100 )

= 309 + ......

C. 300 + 400 + 900 not sum up to 3400.

D. 300 + 400 + 900 again not sum up to 3400

So, none of the following options sum up to or sum up close to 3400.

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Answer:

n1= -4

n2= 1

n3= 6

Step-by-step explanation:

the n column represents the numbers that are in n's place

eg n=1

n=2

n=3

5x1 - 9

5x2 -9

5x3 -9

Answer and Step-by-step explanation:

What this question wants you to do is fill out the right side (or the outputs) of the table.

To do this, plug in the value of n into the equation and solve.

n = n, 5n - 9

n = 1, 5(1) - 9 = -4

n = 2, 5(2) - 9 = 10 - 9 = 1

n = 3, 5(3) - 9 = 15 - 9 = 6

So, the values (in bold) should go into the table as so:

1    | -4

2   |  1

3   |  6

#teamtrees #PAW (Plant And Water)

I hope this helps!

Mai travels abοut 4.2 feet per secοnd faster than Kiran.

Circumference is the distance arοund the οutside οf a circle. It is the length οf the bοundary that enclοses a circle. Tο find the circumference οf a circle, yοu can use the fοrmula C=2πr, where "C" represents the circumference, "π" is a mathematical cοnstant (apprοximately equal tο 3.14159), and "r" is the radius οf the circle (the distance frοm the center οf the circle tο its edge). Sο, the circumference οf a circle is directly prοpοrtiοnal tο its radius. This means that if yοu dοuble the radius οf a circle, its circumference will alsο dοuble.

The circumference οf Kiran's ring is:

C1 = 2πr1 = 2π(9 ft) ≈ 56.55 ft

The circumference οf Mai's ring is:

C2 = 2πr2 = 2π(r1 + 8 ft) = 2π(17 ft) ≈ 106.81 ft

Therefοre, Mai travels a distance οf 106.81 - 56.55 = 50.26 feet mοre than Kiran in οne rοtatiοn.

The time it takes fοr οne rοtatiοn is given as 12 secοnds. Therefοre, the speed οf Kiran in feet per secοnd is:

V1 = C1 / t = 56.55 ft / 12 s ≈ 4.71 ft/s

And the speed οf Mai in feet per secοnd is:

V2 = C2 / t = 106.81 ft / 12 s ≈ 8.90 ft/s

The difference in their speeds is:

V2 - V1 = 8.90 ft/s - 4.71 ft/s ≈ 4.2 ft/s

Therefοre, Mai travels abοut 4.2 feet per secοnd faster than Kiran.

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The linear function for the given graph is y = x + 20.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function. It has one independent variable and one dependent variable. For slope (m) and y-intercept (b) form, the equation is given by:

y = mx + b

From the graph,

The coordinates of the given graph are (0,20) and (20,40)

Then, slope (m) = (40-20)/(20-0) = 20/20 = 1

and y-intercept (b) = 20

So, the equation will be y = 1x + 20

Hence, the linear function for the given graph is y = x + 20.

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The amount of direct materials cost in the unfinished job would be $97600.

The price of direct materials is directly related to the unit of production and is immediately identifiable. For instance, the price of glass is a direct material expense in the production of light bulbs. The primary component needed for the production of commodities or products was material. Costs of raw materials or components used directly in the production of goods are referred to as direct material costs. For instance, if Company A manufactures toys, the cost of the plastic used to build the toys would be an example of a direct material cost.

Given Data

Work in Process inventory account was credited for $120,500.

charged with $9,600 of applied overhead cost.

Direct material cost = Work in progress - Overhead cost - Direct labor

Direct labor = 9600 ×\(\frac{100}{75}\)

Direct labor = 12800

Direct material cost =  120000 - 9600-12800

Direct material cost = 97600

The amount of direct materials cost in the unfinished job would be $97600.

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Answer:

144 - 36×3.142 = 30.888

30.888 ÷4 = 7.722

Answer:

2.5

Step-by-step explanation:

I took the test :)

Answer:

5/12

Step-by-step explanation:

1/4 + 1/3 =

3/12 + 4/12 =

7/12

12/12 - 7/12 =

5/12

Answer:i think its the second one

Step-by-step explanation:

Answer:

what is question

Step-by-step explanation:

what is the question

The probability that either event will occur is P ( C ) = 0.89

Given data ,

Let the probability that either event will occur  be P ( C )

P ( A ) = 20/36

P ( B ) = 12/36

where P ( A or B ) = P ( C )

P ( C ) = P ( A ) + P ( B )

P ( C ) = 32/36

P ( C ) = 0.88888

Hence , the probability is P ( C ) = 0.89

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The angles of the triangle are 125 degrees, 20 degrees, and 35 degrees.

A triangle is a closed geometric shape with three sides, three angles, and three line segments. Three non-collinear points are joined by line segments to create the simplest polygon, which has three non-collinear points.

Triangles can be categorized according to the size of their sides and angles. Triangles can be categorized as equilateral (all sides are equal in length), isosceles (both sides are equal in length), or scalene based on their sides (all sides are different in length). Triangles can be categorized as acute (all angles are less than 90 degrees), obtuse (one angle is greater than 90 degrees), or right (one angle is greater than 90 degrees) (one angle is exactly 90 degrees).

In any triangle, the sum of the three interior angles is always 180 degrees. Therefore, we can write:

a + b + c = 180

Substituting the given values, we get:

(6x-1) + 20 + (x+14) = 180

Simplifying and solving for x, we get:

7x + 33 = 180

7x = 147

x = 21

Now that we have the value of x, we can substitute it back into the expressions for the angles to find their values:

angle a = (6x-1) = (6*21-1) = 125 degrees

angle b = 20 degrees

angle c = (x+14) = (21+14) = 35 degrees

Therefore, the angles of the triangle are 125 degrees, 20 degrees, and 35 degrees.

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Answer:

The correct answer is:

Between 600 and 700 years (B)

Step-by-step explanation:

At a constant decay rate, the half-life of a radioactive substance is the time taken for the substance to decay to half of its original mass. The formula for radioactive exponential decay is given by:

\(A(t) = A_0 e^{(kt)}\\where:\\A(t) = Amount\ left\ at\ time\ (t) = 75\ grams\\A_0 = initial\ amount = 1000\ grams\\k = decay\ constant\\t = time\ of\ decay = 2500\ years\)

First, let us calculate the decay constant (k)

\(75 = 1000 e^{(k2500)}\\dividing\ both\ sides\ by\ 1000\\0.075 = e^{(2500k)}\\taking\ natural\ logarithm\ of\ both\ sides\\In 0.075 = In (e^{2500k})\\In 0.075 = 2500k\\k = \frac{In0.075}{2500}\\ k = \frac{-2.5903}{2500} \\k = - 0.001036\)

Next, let us calculate the half-life as follows:

\(\frac{1}{2} A_0 = A_0 e^{(-0.001036t)}\\Dividing\ both\ sides\ by\ A_0\\ \frac{1}{2} = e^{-0.001036t}\\taking\ natural\ logarithm\ of\ both\ sides\\In(0.5) = In (e^{-0.001036t})\\-0.6931 = -0.001036t\\t = \frac{-0.6931}{-0.001036} \\t = 669.02 years\\\therefore t\frac{1}{2} \approx 669\ years\)

Therefore the half-life is between 600 and 700 years

Answer:

Step-by-step explanation:

First, I would find the point on the curve. By substituting t=1, I get (x, y). Next, I will try to eliminate the t and make a xy equation. In this case, the t's will cancel out in 'x=t-t-1" which wouldnt make this a curve. To find the equation of the tangent line, find the deretitave of the xy equation, and subsitute x in to find the slope at that point. Next, use point slope form to find the equation at the point.

So

Let's see

#B

So

We need base

Answer:

a) 67°

b) 2.6 ft

Step-by-step explanation:

This problem can be modeled as a right triangle (see attachment 1), where the wall and the ground are the legs, and the ladder is the hypotenuse. Therefore, we can use the sine trig ratio to find the angle.

Trig Ratio

\(\sf \sin(\theta)=\dfrac{O}{H}\)

where:

Given:

Substituting the given values into the ratio and solving for x:

\(\implies \sf \sin(x)=\dfrac{9.2}{10}\)

\(\implies \sf x=\sin^{-1}\left(\dfrac{9.2}{10}\right)\)

\(\implies \sf x=67^{\circ}\:(nearest\:degree)\)

(see attachment 2)

Let y be the distance the foot of the ladder and the foot of the building

We can find y by using the cos trig ratio:

\(\sf \cos(\theta)=\dfrac{A}{H}\)

where:

Given:

Substituting the given values into the ratio and solving for x:

\(\implies \sf \cos(75^{\circ})=\dfrac{y}{10}\)

\(\implies \sf y=10\cos(75^{\circ})\)

\(\implies \sf y=2.6\:ft\:(nearest\:tenth)\)

Answer:

Family. Family is what you make of it in Heart of a Samurai.

Language and Communication.

Principles.

Art and Culture.

Identity.

Change.

Society and Class.

Step-by-step explanation:

Hope this helps:)