1. A circle is drawn with 6 diameters. The diameters divide the circle into 12 equal parts called sectors. Each sector

has an angle at the center of the circle called a central angle. What is the measure of 5 of those central angles?

A. 30⁰

B. 50°

C. 120°

D. 150°

E. 180°

The negative sign (-) effects is based on some specific expression such as:

When (-) is applied to an exponential function, it may have two effects: it can negate the function's output, such as the example of:

f(x) = eˣ where -f(x) = -eˣ.

In terms of Negation flips function sign,  negative exponent changes base. If f(x) = (-e)ˣ, the base of the exponential function is -e instead of e. The function still grows or reduce based on if the x is positive or negative.

Learn more about exponential function from

https://brainly.com/question/12940982

#SPJ1

The 500,00th number in the sequence = 98828

A sequence is a numbered collection of objects where repeats are permitted and order is important. It has members, just like a set. The length of something like the sequence is defined as the number of items.

here n^th iteration n+3 element are listed and n element are skipped.

now before nth iteration total skipped natural number : 1+2+3+.........n-1

                                                                                           = n(n-1)/2

now after completion of nth iteration total listed natural number = 4+5+6+.....n+3

= ((n+3)(n+4)/2)-6

to find 50000th number total listed element must be greater than or equal to 50000.

((n+3)(n+4)/2)-6 ≥ 50000

(n+3)(n+4) ≥ 100012

n = 313

total skipped before 313th iteration

=( 313 * 312)/2

=  48828

total listed before 313th is 48828.

listed after 312th iteration

= ((315)(316))/2)-6

= 49764

total number remaining for 50000

= 50000 - 49764

= 236

total number passed.

skipped+ listed

= 48828 + 49764

= 98592

50000th element = 98592 + 236

                              = 98828

The 500,00th number in the sequence = 98828

To know more about sequence visit:

https://brainly.com/question/21961097

#SPJ4

Assuming that Douglas had no other purchases on his credit card, he paid a total of $855.00 for the sofa.

To begin with, we must determine the sofa's final cost, including sales tax:

Total cost = Cost of sofa + Sales tax

Total cost = $670 + (7.94% of $670)

Total cost = $670 + $\((670*\frac{7.94}{100} )\)

Total cost = $723.20

Then, we must figure out the interest rate per month:

Monthly interest rate = Annual interest rate / 12

Monthly interest rate = 11.05% / 12

Monthly interest rate = 0.9208%

The following is the calculation for a loan with constant payments and its monthly payment:

Monthly payment = (Loan amount x Monthly interest rate) ÷ (1 - (1 + Monthly interest rate)^(-Number of months))

The loan amount is the total cost of the sofa, which is $723.20. The number of months is 3 years x 12 months/year = 36 months.

Monthly payment \(=\frac{723.20*0.9208}{(1 - (1 + 0.9208)^{-36})}\)

Monthly payment = $23.75 (to the closest cent)

Douglas made 36 monthly payments of $23.75, so the total amount he paid for the sofa is:

Total paid = Monthly payment × Number of payments

Total paid = $23.75 × 36

Total paid = $855.00

To know more about interest rate

brainly.com/question/28326117

#SPJ4

Info given

We have a total of people given (82). We also know that we have 54 children of under 12 years and under some children were under 3 years

We define x as the number of children under 3 years.

We want to find C for the total cost. We don't have the unitary prices but we can assume it as C1 (over 3 and lower than 12) and C2(adults) for children and adults.

Solution:

With C the total amount collected and C1 and C2 described above.

Answer: 0.4m

Step-by-step explanation:

From the question, photographer takes a picture of a train travelling at the speed of 40m/s and the camera takes 0.01sec to take picture. We want to know the distance that the train travelled in this time.

Distance = speed × time

Distance = 40m/s × 0.01s

= 0.4m

Answer:

b and c

Step-by-step explanation:

Like terms are numbers that have the same variable and/or exponent. You can combine them to simplify equations.

3x+2x+3y-7y=5x-4y

3x and 2x are like terms because they share a variable of x. You can add them which gives you 5x. 3y and -7y are also like terms so they can be combined to make -4y.

2x+1+7x=9x+1

2x and 7x are like terms so they can be added for a sum of 9x.

Answer:The correct answer is A

Step-by-step explanation: just trust me

Answer:

Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated

Step-by-step explanation:

The total revenue that will be maximized is 20 - 2a

From the question, we have the following parameters that can be used in our computation:

Qd = 20 - P

The revenue equation is calculated using

Revenue = Quantity * Price

So, we have

R = Qd * P

This gives

R = (20 - P) * P

Expand

R = 20P - P²

Differentiate

R' = 20 - 2P

Next, we have

Q = a

So, we have

R = 20 - 2a

Hence, the total revenue that will be maximized is 20 - 2a

Read more about revenue at

https://brainly.com/question/12983911

#SPJ1

Step-by-step explanation:

It is given that,

The height of the sail on a boat is 7 feet less than 3 times the length of its base.

Let the length of the base is x.

ATQ,

Height = (3x-7)

Area of the sail is 68 square feet.

Formula for area is given by :

\(A=lb\\\\68=x(3x-7)\\\\3x^2-7x=68\\\\3x^2-7x-68=0\)

x = 8 feet and x = -3.73 feet

So, length is 8 feet

Height is 3(8)-7 = 17 feet.

So, its height and the length of the base is 17 feet and 8 feet respectively.

The equation of the least-squares regression line Volume = -0.013 + 0.262(Time)

From the question, we have the following parameters that can be used in our computation:

The regresion analysis of volume versus time

The equation of the least-squares regression line is represented as

Volume = b₀ + b₁(Time)

Where

b₀ = Constant = -0.013

b₁ = Time³ = 0.262

Substitute the known values in the above equation, so, we have the following representation

Volume = -0.013 + 0.262(Time)

Hence, the equation is Volume = -0.013 + 0.262(Time)

Read more about regression at

https://brainly.com/question/29362777

#SPJ1

Answer:

All is in the picture

Answer:

-3x-7

Step-by-step explanation:

Answer:

-3x - 7

Step-by-step explanation:

A baseball bat strikes a ball with an average force of 2.0 x 104 Newtons. if the bat stays in contact with the ball for a distance of 5.0 x 10-3 meter , then the kinetic energy will be 2× 10^2 J

kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.

In classical mechanics, the kinetic energy of a non-rotating object of mass m traveling at a speed v is 1/2 mv²

Favg= -1/2 MV2

Favg = -1 2 ( 5.0 x 10-3)^2

Favg = - 1/2 ×25 × 10 ^-6

Favg = 2× 10^2 J

To learn more about kinetic energy

https://brainly.com/question/26472013

#SPJ4

Answer:

2x² = -8

x² = -4

The answer is no real solutions (x ∉ R) because a perfect square cannot be negative.

Answer:

No real solutions, but there are complex solutions

x=2i and x = -2i.

Step-by-step explanation:

2x² = - 8

x² = - 4

x = +/- √(-4)= +/-√[(-1)*4] = +/-[√4 *√(-1)] = +/- [2*i]

x=2i and x = -2i

Answer:

1/3x+7=26

Step-by-step explanation:

1/3 of a number which could anything so mark as X

add 7

equals 26

1/3x+7=26

Answer:

3: P'= (6, 5)  Q'= (11, 3)  R'= (3, 11)

4: P'= (-8, -1)  Q'=(-3, -3)  R'= (-12, 5)

Step-by-step explanation:

The question is the explanation basically. Just move the points 6 units right and 5 units up for 3, and move the points 8 units left and 1 unit down for 4.

(I hope that the two questions are called 3 and 4, and it isn't "36 units right" or "4.8 units left)

Answer:

60

Step-by-step explanation:

30 pages per 6 hours

300/30 = 10

10*6 = 60 hours

Answer:

9/4 ÷ 3/2

Step-by-step explanation:

2 1/4 = 9/4

The dimension and basis of the vector space V, where V is defined as the set of polynomials in P2 with p(0) = 0 are to be found.

Let p(x) = ax^2 + bx + c be an arbitrary polynomial in V. Since p(0) = 0, we have c = 0. Thus any polynomial in V can be written as p(x) = ax^2 + bx = x(ax + b). Therefore, the set {x(ax + b) : a, b ∈ R} is a basis for V.

To verify that this set is a basis, we need to show that it is linearly independent and spans V. Let p(x) = ax^2 + bx be a polynomial in V such that x(ax + b) = 0 for some real numbers a and b. This implies that either x = 0 or ax + b = 0 for all x in R. Since p(0) = 0, we have b = 0. Thus, the only polynomial in V that is linearly dependent on {x(ax + b) : a, b ∈ R} is the zero polynomial. Therefore, {x(ax + b) : a, b ∈ R} is a basis for V, and dim V = 2.

Learn more about polynomial here:

https://brainly.com/question/29465866

#SPJ11

(A) Circular orbits of stable particles are possible at radii greater than three times the Schwarzschild radius for the non-rotating spherically symmetric mass.

This represents the radius of a black hole's event horizon, within which nothing can escape. The Schwarzschild radius is the event horizon radius of a black hole with mass M.

M can be calculated using the formula: r+ = 2Mwhere r+ is the radius of the event horizon.

(B)  1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ R. This is the required expression.

Tau is the proper time of the particle moving around a circular orbit. Hence, by making use of the formula given above:1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ dt.

(C) Time passes differently in different gravitational fields, and it follows that the period as measured at infinity should be larger than that measured by the particle.

The principle of equivalence can be defined as the connection between gravitational forces and the forces we observe in non-inertial frames of reference. It's basically the idea that an accelerating reference frame feels identical to a gravitational force.

(D) The period of the orbit as measured by an observer at infinity is 16π M^(1/2) and the period of the orbit as measured by the particle is 16π M^(1/2)(1 + 9/64 M²).

The period of orbit as measured by an observer at infinity can be calculated using the formula: T = 2π R³/2/√(M). Substitute the given values in the above formula: T = 2π (8M)³/2/√(M)= 16π M^(1/2).The period of the orbit as measured by the particle can be calculated using the formula: T = 2π R/√(1-3M/R).

Substitute the given values in the above formula: T = 2π (8M)/√(1-3M/(8M))= 16π M^(1/2)(1 + 9/64 M²).

To know more about  Schwarzschild radius

https://brainly.com/question/29534114

#SPJ11

The quadrilateral is a trapezoid. The value of x is 5 by applying midsegment theorem for trapezoids.

The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases.

The side with length 21 units and 27 units are parallel to each other.

From the given diagram, the expression below is true:

5x-1 = (21 + 27)/2

2(5x - 1) = 21 + 27

10x - 2 = 48

10x = 48 + 2

10x = 50

Divide both sides by 10

x = 50/10

x = 5

Hence the value of x is 5

To know more about Quadrilateral

https://brainly.com/question/21201274

#SPJ4

The image of this question is probably this.

Answer: x is 5 if this isnt right then im sorry.

Answer: 4:5

Step-by-step explanation: The lowest form

Answer:

Step-by-step explanation:

4:5

The sequence of Transformations involved to form ∆A′B′C′ is a reflection over the y-axis, followed by a translation to the right 6 units.

The graph shows two triangles plotted on a coordinate plane.

One triangle is at A (minus 4, 2), B (minus 6, 2), and C (minus 2, 6).

Another triangle is at A prime (2, 2), B prime (4, 2), and C prime (0, 6). ∆ABC goes through a sequence of transformations to form ∆A′B′C′.

The sequence of transformations involved is a reflection over the y-axis, followed by a translation to the right 6 units. The steps to get from ∆ABC to ∆A′B′C′ are as follows:

Step 1: Reflection over y-axis: This transformation can be done by replacing the x-coordinates of each point with their opposites, or by drawing perpendiculars from each point to the y-axis and reflecting them across the y-axis. In either case, the new points are A(-(-4),2) = A(4,2), B(-(-6),2) = B(6,2), and C(-(-2),6) = C(2,6).

Step 2: Translation to the right 6 units: This transformation involves adding 6 units to each of the x-coordinates of the reflected triangle. The new points are A'(2+6,2) = A'(8,2), B'(4+6,2) = B'(10,2), and C'(0+6,6) = C'(6,6).

Therefore, the sequence of transformations involved to form ∆A′B′C′ is a reflection over the y-axis, followed by a translation to the right 6 units.

For more questions on Transformations .

https://brainly.com/question/29788009

Step-by-step explanation:

9.5x8.7=82.65

the ans is ==82.65

Answer:

V≈  14.5 ft  

Step-by-step explanation:

Answer:

3 (x + 6)

Step-by-step explanation:

hoffe der hilfs

Answer:

1 solution.

Step-by-step explanation:

1/2(x + 12) = 4x - 1

Expand the brackets.

1/2x + 6 = 4x - 1

Subtract 6 and 4x and both sides.

1/2x - 4x = -1 - 6

-7/2x = -7

Multiply -7/2 on both sides.

x = -7 × -2/7

x = 14/7

x = 2

Answer:

Step-by-step explanation:

use formula of 90° clockwise rotation ,which is

P(x,y)=P'(y,-x)

x coordinate of point A is -6 and y coordinate is 5.so,

A(-6,5)=A'(5,6)

therefore answer to ur question is (5,6)

The area of the surface given by z = f(x, y) that lies above the region is 8√33.

What is the area of the surface?

A solid object's surface area is a measurement of the overall space that the object's surface takes up. The total surface area of a three-dimensional shape is the sum of all the surfaces on each side.

Here, we have

Given: f(x, y) = 4x + 4y, a triangle with vertices (0, 0), (4, 0), (0, 4).

we have to find the area of the surface.

f(x, y) = 4x + 4y

fₓ(x,y) = 4

\(f_{y}(x,y)\) = 4

So, the area of surface z = f(x,y) is bounded above by R is

S = ∫∫\(\sqrt{1+f_x^2+f_y^2} (dA)\)

S = ∫∫\(\sqrt{1+4^2+4^2} dA\)

S = √33∫∫dA

Now, the equation of a line is:

(y-0) = (4-0)/(0-4)×(x-4)

y = -x + 4

So, R{(x,y): 0≤x≤-x+4, 0≤x≤4}

S = √33 \(\int\limits^4_0\int\limits-^x^+^4_0 {} \, dy {} \, dx\)

S = √33\(\int\limits^4_0 {} \,\)(y)dx

S = √33[-x+4-0]₀⁴dx

S = √33(-x²/2 + 4x)₀⁴

S = √33(-4²/2 + 4(4))

S = √33(-8+16)

S = 8√33

Hence,  the area of the surface given by z = f(x, y) that lies above the region is 8√33.

To learn more about the area of the surface from the given link

https://brainly.com/question/76387

#SPJ4