The movie is _________________ popular among teenagers

Answer:

The value of n based on the equation is -410.

Step-by-step explanation:

156 - n - 412 = 154

Subtract 412 from 156.

-n - 256 = 154

Add 256 on both sides of the equation.

-n = 410

Divide both sides of the equation by -1.

n = -410

So, the value of n is -410. We can check this answer by plugging it into the equation.

156 - (-410) - 412 =  566 - 412 = 154

Answer:

i think its a

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x-2)(2x+3)(x+1)

=x(2x+3)-2(2x+3)(x+1)

=(2x^2+3x-4x-6)(x-1)

=(2x^2-x-6)(x-1)

=2x^2(x-1)-x(x-1)-6(x-1)

=2x^3-2x^2-x^2+x-6x+6

=2x^3-3x^2-5x+6

( x - 2 )( x + 1 )( 2x + 3 ) =

( x^2 - x - 2 )( 2x + 3 ) =

2x^3 - 2x^2 - 4x + 3x^2 - 3x - 6 =

2x^3 + ( -2 + 3 )x^2 + ( - 4 - 3 )x - 6 =

2x^3 + x^2 - 7x - 6

Answer:

30-12=18

18-18=0

Step-by-step explanation:

2x + 12 = 30

X represents the snacks, 2 represents the $2 per snack, 12 represents the $12 entry fee, and 30 represents the $30 Olivia had.

The two numbers which the missing side is in between include the following: A. 10 and 11.

In order to determine the length of the hypotenuse, we would have to apply Pythagorean's theorem.

In Mathematics and Geometry, Pythagorean's theorem is represented by the following mathematical equation (formula):

x² + y² = d²

Where:

x, y, and d represents the length of sides or side lengths of any right-angled triangle.

By substituting the side lengths of this rectangular figure, we have the following:

d² = x² + y²

d² = 3² + 10²

d² = 9 + 100

d² = 109

d = √109

d = 10.44 units.

Therefore, d is between 10 and 11.

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Answer:

66

Step-by-step explanation:

Step-by-step explanation:

❤️☺️❤️☺️❤️☺️❤️☺️❤️☺️❤️☺️❤️☺️❤️☺️☺️❤️☺️❤️☺️❤️❤️❤️❤️❤️❤️☺️❤️☺️❤️❤️☺️❤️☺️❤️☺️❤️☺️❤️❤️❤️

Circle Y has a greater area than Circle X by approximately \($159.25\pi cm^2.\)

To determine which circle has a greater area and by how much, we will be using the formula which is given as, \($A = \pi r^2, where A\) is the area and \($r$\) is the radius.

As the first step we will calculate the radius of each circle:

For Circle X, the diameter is given as 18 cm. The radius, \($r_X$\), is half the diameter, so \($r_X = \frac{18}{2} = 9 cm.\)

For Circle Y, the diameter is given as 31 cm and the radius, \($r_Y$\), is half the diameter, so \($r_Y = \frac{31}{2} = 15.5 cm.\)

Now, for the next step, we can calculate the area of each circle:

The area of Circle X, \($A_X$\), is given by \($A_X = \pi (r_X)^2 = \pi (9)^2 = 81\pi cm^2.\)

The area of Circle Y, \($A_Y$\), is given by \($A_Y = \pi (r_Y)^2 = \pi (15.5)^2 = 240.25\pi cm^2\)

Comparing the two areas, we can see that \($A_Y > A_X$\). The difference in their areas is \($A_Y - A_X = 240.25\pi - 81\pi = 159.25\pi cm^2$\). Therefore, Circle Y has a greater area than Circle X by approximately \($159.25\pi cm^2$\).

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The double integral of f(x, y) over D is ∫∫D f(x, y) dxdy = 2π/3.

What is intergration?

Integration is a fundamental concept in calculus that involves finding the integral of a function. It is the reverse process of differentiation and is used to compute areas, accumulate quantities, and solve various mathematical problems.

To evaluate the double integral ∫∫D f(x, y) dxdy over the region D, we need to determine the limits of integration.

The region D is defined by the condition \(x^2 + y^2\) ≤ 16, which represents a disk of radius 4 centered at the origin.

In polar coordinates, we can express x and y in terms of r and θ as follows:

x = r cos(θ)

y = r sin(θ)

The limits of integration for r and θ will correspond to the region D.

For r, we have 0 ≤ r ≤ 4, as the radius of the disk is 4.

For θ, we need to determine the range of angles that cover the entire disk. Since the disk is symmetric about the origin, we can choose any range of angles that covers a full circle. A suitable range is 0 ≤ θ ≤ 2π, which represents one complete revolution.

Now, we can set up the double integral:

∫∫D f(x, y) dxdy = ∫∫D √(16 - \(x^2 - y^2\)) dxdy

Converting to polar coordinates:

∫∫D √(16 - \(r^2\)) r dr dθ

Using the limits of integration:

∫₀²π ∫₀⁴ √(16 - \(r^2\)) r dr dθ

The inner integral with respect to r can be evaluated using substitution. Let u = 16 - \(r^2\), then du = -2r dr. The limits of integration become u(0) = 16 and u(4) = 0. The integral becomes:

∫₀²π ∫₁⁰ √u (-du/2) dθ

Simplifying:

-1/2 ∫₀²π ∫₁⁰ √u du dθ

The inner integral with respect to u is a standard integral:

-1/2 ∫₀²π [2/3 \(u^{(3/2)\)]₁⁰ dθ

Applying the limits of integration:

-1/2 ∫₀²π [2/3 \((0)^{(3/2)\) - 2/3 \((1)^{(3/2)\)] dθ

Simplifying further:

-1/2 ∫₀²π [-2/3] dθ

Integrating with respect to θ:

-1/2 [-2/3 θ]₀²π

Applying the limits of integration:

-1/2 [-2/3 (2π) - (-2/3 (0))]

Simplifying:

-1/2 [-4π/3]

Final result:

2π/3

Therefore, the double integral of f(x, y) over D is ∫∫D f(x, y) dxdy = 2π/3.

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Answer:

y=2x-2

Step-by-step explanation:

m= slope= rise/ run. 2/1=2

Y intercept is -2, so the linear equation equals y=2x-2

Answer:

a. x=4 or x=−10

b. x= 3/2 or x= −8

Step-by-step explanation:

(FOR LETTER A)

Step 1: Factor left side of equation.

(x−4)(x+10)=0

Step 2: Set factors equal to 0.

x−4=0 or x+10=0

x=4 or x=−10

(FOR LETTER B)

Step 1: Factor left side of equation.

(2x−3)(x+8)=0

Step 2: Set factors equal to 0.

2x−3=0 or x+8=0

x= 3/2

or x= −8

Answer:

Area = ab

Step-by-step explanation:

Area is length × width, so fill in a for the length and b for the width. Multiply a and b together.

A = a×b

A = ab

Answer:

  $9,039.81

Step-by-step explanation:

Given the exponentially decaying price history of a vehicle as $21,000; $18,900; $17,010; $15,309; $13,778.10; $12,400.29; you want to know the value after 8 years of depreciation at the same rate.

The multiplier of value each year is 18900/21000 = 0.9. This means the value of the vehicle can be represented by the price function ...

   price = (initial price) · 0.9^t

where t is the number of years the vehicle has depreciated.

After 8 years, the value will be ...

  price = $21000·0.9^8 ≈ $9,039.81

After 8 years, the value of the car will be $9,039.81.

The factory's production follows a distribution with a mean of 5 and a variance of 9, indicating that the average daily production is 5 gadgets with some variability around that average.

A factory produces xn gadgets on day n, where xn represents the number of gadgets produced. The variables xn are independent and identically distributed random variables, meaning that each day's production is not affected by previous days and follows the same distribution.
Given that the mean of the xn variables is 5 and the variance is 9, we can conclude that on average, the factory produces 5 gadgets each day. The variance of 9 indicates that there is some variability in the daily production, with values ranging above and below the mean.
To further understand the concept, let's consider an example. Suppose we observe the production over 10 days, and the number of gadgets produced on each day are as follows:

4, 7, 3, 6, 2, 8, 5, 5, 4, 6.
From this data, we can calculate the mean as

(4+7+3+6+2+8+5+5+4+6)/10 = 5.

The calculated mean matches the given mean of 5.
Similarly, we can calculate the variance using the formula

: (1/10) * [(4-5)² + (7-5)²+ (3-5)² + (6-5)² + (2-5)² + (8-5)² + (5-5)² + (5-5)² + (4-5)² + (6-5)²] = 9.

The calculated variance also matches the given variance of 9.
In conclusion, the factory's production follows a distribution with a mean of 5 and a variance of 9, indicating that the average daily production is 5 gadgets with some variability around that average.

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Meters and seconds are the two units of measurement required to describe speed.

A ball freely falling at 20 m/s will in the next second have a speed of 30 m/s.This is because the speed of a freely falling item rises by 9.8 m/s per second owing to gravity's acceleration. The ball begins at a speed of 20 m/s and adds 9.8 m/s to its initial speed after one second, ending in a final speed of 20 + 9.8 = 29.8 m/s (approx. 30 m/s).

Meters and seconds are the two units of measurement required to describe speed. These units are used to calculate the distance travelled by an item as well as the time it takes to traverse that distance. In this scenario, the ball's speed is measured in metres per second (m/s), which is the distance the ball travels in one second.

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Answer:

the diver was 450 ft below sea level

Step-by-step explanation:

25ft per min

25x10=250

250+200=450ft

Answer:

450 feet below sea level

Step-by-step explanation:

25 feet per minute 10 minutes, so you multipy them 25x10=250, and then add that to the level he's at right now, 200+250=450.

Answer: 1/2

Step-by-step explanation:

m= 5-4

     5-3

=

1/2

Answer- 1:8

The original length of the board was 32 inches. Since it reduced we can divide 32 into 4. 32/4 is 8. This means that the scale factor of the dilation  is 1:8. 32 is 8/1 of 4, so that means in ratio 1 whole is divided into 8 parts, hence 1:8.

I hope this helped and Good Luck <3!!!

Answer:

Step-by-step explanation:

Given equation is,

x² + (p + 1)x = 5 - 2p

x² + (p + 1)x - (5 - 2p) = 0

x² + (p + 1)x + (2p - 5) = 0

Properties for the roots of a quadratic equation,

1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]

2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]

3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].

Discriminant of the given equation = \((p+1)^2-4(1)(2p-5)\)

For real roots,

\((p+1)^2-4(1)(2p-5)>0\)

p² + 2p + 1 - 8p + 20 > 0

p² - 6p + 21 > 0

For all real values of 'p', given equation will be greater than zero.

Answer:

S = 3

S = 5

S = 7

S = 9

Step-by-step explanation:

t = 3s + 2

when t = 11

11 = 3s + 2

11 – 2 = 3s

9 = 3s

s = 3

t = 3s + 2

when t = 17

17 = 3s + 2

17 – 2 = 3s

15 = 3s

s = 5

t = 3s + 2

when t = 23

23 = 3s + 2

23 – 2 = 3s

21 = 3s

s = 7

t = 3s + 2

when t = 29

29 = 3s + 2

29 – 2 = 3s

27 = 3s

s = 9

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The semi-axis lengths for the given standard equation of an ellipsoid are: a is √6, b is 2, c is √6, which can be determined from the standard equation of an ellipsoid \((x^2/a^2) + (y^2/b^2) + (z^2/c^2) = 1\).

To reduce the equation to one of the standard forms, classify the surface, and sketch it for the given equation, which is:

4x² + y² + 4z² − 4y − 24z + 36 = 0

Step 1: Firstly, simplify the equation.

4x² + y² + 4z² − 4y − 24z + 36 = 0

y² − 4y + 4 + 4x² + 4z² − 24z + 12 = 0

(y − 2)² + 4x² + 4z² − 24z + 12 = 0

(y − 2)² + 4(x² + z² − 6z) + 12 = 0

(y − 2)² + 4(x² + z² − 6z + 9) − 36 + 12 = 0

(y − 2)² + 4(x² + (z − 3)²) − 24 = 0

(y − 2)²/24 + 4(x² + (z − 3)²)/24 − 1 = 0

Step 2: Compare this with the standard equation of an ellipsoid,

\((x^2/a^2) + (y^2/b^2) + (z^2/c^2) = 1\)

If the given equation matches the standard equation of an ellipsoid, then the given surface will be an ellipsoid. So, the given surface is an ellipsoid.

Conclusion: The given equation is the standard equation of an ellipsoid, which is centered at (0, 2, 3) and the major axis is parallel to the y-axis and minor axes lie in the xz-plane. The semi-axis lengths are: a is √6, b is 2, c is √6, which can be determined from the standard equation of an ellipsoid \((x^2/a^2) + (y^2/b^2) + (z^2/c^2) = 1\). To know more about ellipsoid visit

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Answer: $7 and 50 cents

Four movie tickets cost $30.00

1 movie ticket will cost 30.00/4 = $7.50

Every subgroup of the integers has finite index. It is True.

True. Proof: Let H be a subgroup of the integers. By the division algorithm, for any integer n and any positive integer d, there exist unique integers q and r such that n = dq + r and 0 ≤ r < d. In particular, if we take d = |H|, then for any integer n, we have n = dq + r for some integer q and some 0 ≤ r < |H|. This means that any integer n can be written in the form n = h + r for some integer h in H and some 0 ≤ r < |H|. Therefore, the residue classes {h + r : r = 0, 1, ..., |H| - 1} form a complete set of coset representatives for H in Z. Since there are |H| such cosets, it follows that [Z : H] = |H|. Therefore, every subgroup of the integers has finite index.

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On solving the provided question, we can say that 1 degree = 3600 arc seconds and 1 degree = 60 arc minutes.

A 160 degree angle is measured in arc minutes, often known as arcmin, arcmin, arcmin, or arc minutes (represented by the sign '). One minute is equal to 121600 revolutions, or one degree, hence one degree equals 1360 revolutions (or one complete revolution). A degree, also known as a complete angle of arc, angle of arc, or angle of arc, is a unit of measurement for plane angles in which a full rotation equals 360 degrees. A degree is sometimes referred to as an arc degree if it has an arc of 60 minutes. Since there are 360 degrees in a circle, an arc's angles make up 1/360 of its circumference.

1 degree = 3600 arc seconds

1 degree = 60 arc minutes

A. 2 degree 18'36 = 2 + 18/60 + 36 / 2600 = 231 / 100 degree

B. 36 ′ 18 ′′ = 36/60 + 18/2600 = 121 / 200 degree

C. 7 degrees 59′ 59′′ = 7 + 59 / 60 + 59 / 3600 = 28799 / 3600 degree

D. 1' = 1/60 degree

F. 1" = 1/3600 degree

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Roads that are well-maintained, dry, and free from hazards are generally less likely to result in traction loss.

The likelihood of losing traction depends on various factors such as road conditions, weather, vehicle type, and driver behavior. However, in general, roads that are well-maintained, dry, and free from debris or hazards are less likely to result in traction loss. Additionally, roads with good grip surfaces, such as asphalt or concrete, tend to provide better traction compared to unpaved or slippery surfaces. It's important to drive cautiously and adapt to the specific conditions of the road to minimize the risk of losing traction.

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Answer:

Step-by-step explanation:

lim x -> +oo    -2x³ - 13x² + 8x + 52

x³ (-2 -13/x + 8/x² + 52/x³)

+oo³ (-2 - 13/+oo + 8/+oo² + 52/oo³)

+oo(-2 + 0 + 0 + 0)

-oo

lim x -> -oo    -2x³ - 13x² + 8x + 52

x³ (-2 -13/x + 8/x² + 52/x³)

-oo³ (-2 - 13/-oo + 8/-oo² + 52/-oo³)

-oo(-2 + 0 + 0 + 0)

+oo

Answer:

180 degrees

Step-by-step explanation:

All of the angles in a triangle add up to 180 degrees

Before buying Christmas presents for her family, Mother had Php 1,025 initially.

How to calculate total money before spending?

To calculate the initial amount before spending add the amount spent and left after spending.

According to the given question:

Mother spent 134.25 on chocolate box, 385.75 on pair of slippers and 235.50 for a shirt.

Therefore total money spent = 134.25 + 385.75 + 235.50 = 755.50

Money left after spending = 269.50

So, the total money mother had initially = 755.50 + 269.50 = 1025

The actual amount mother had was Php 1,025

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