Sophie has 30 coins, all nickels and dimes.
She has five times as many nickels as
dimes. How much money does she have?

Answer: To find the number of meters in 20,000 leagues, we first need to convert the number of leagues to miles:

20,000 leagues * 3.452 miles/league = 69,040 miles

Next, we can convert the miles to meters:

69,040 miles * 1609.3 meters/mile = 111,030,472 meters

So the number of meters in 20,000 leagues is approximately 111,030,472 meters. To round this to the nearest whole number and use it as the value of x in the title, we can round it to:

x = 111,030,472 rounded to the nearest whole number = 111,030,000 meters

Therefore, Jules can call his most recent work "111,030,000 meters under the sea".

Answer:

36 is the correct answer on edge

Step-by-step explanation:

(6h^5)^2 is our expression

1. Break it up:

6 x 6, h^5 x 2

2. Solve

36, h^10

therefore:

36h^10

Answer:

36

Step-by-step explanation:

For the following quadratic equations:

14) To complete the square for the quadratic equation x² + 36x + c,

add the square of half the coefficient of x (36/2)² = 18² = 324.

Therefore, the value of c that completes the square is 324.

15) To complete the square for the quadratic equation x² + 9x + c,

add the square of half the coefficient of x (9/2)² = 4.5² = 20.25.

Therefore, the value of c that completes the square is 20.25.

16) For the equation -2n² + 8n - 9 = 0, the discriminant is b² - 4ac. Here, a = -2, b = 8, and c = -9.

Discriminant = (8)² - 4(-2)(-9) = 64 - 72 = -8.

Since the discriminant is negative (-8), the equation has two complex solutions.

17) For the equation -9m² + 5m = 0, the discriminant is b² - 4ac. Here, a = -9, b = 5, and c = 0.

Discriminant = (5)² - 4(-9)(0) = 25 - 0 = 25.

Since the discriminant is positive (25), the equation has two real solutions.

18) For the equation 4n² + 5n - 84 = 0, use the quadratic formula to solve it.

The quadratic formula is given by:

n = (-b ± √(b² - 4ac)) / (2a)

In this equation, a = 4, b = 5, and c = -84. Plugging these values into the quadratic formula:

n = (-5 ± √(5² - 4(4)(-84))) / (2(4))

n = (-5 ± √(25 + 1344)) / 8

n = (-5 ± √1369) / 8

n = (-5 ± 37) / 8

So, the two solutions to the equation are:

n = (-5 + 37) / 8 = 32 / 8 = 4

n = (-5 - 37) / 8 = -42 / 8 = -5.25

19) For the equation r² - 8r - 70 = 0, solve it by completing the square.

r² - 8r - 70 = 0

(r - 4)² - 16 - 70 = 0 (Adding and subtracting (8/2)² = 16 to complete the square)

(r - 4)² - 86 = 0

(r - 4)² = 86

Taking the square root of both sides:

r - 4 = ± √86

r = 4 ± √86

So, the solutions to the equation are:

r = 4 + √86

r = 4 - √86

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In the study conducted by John Darley and Bibb Latané, the number of people present in the room with the participant served as an independent variable, as it was manipulated by the researchers to observe its effects on helping behavior.

Specifically, the researchers examined how the presence of other people in the room would affect whether or not the participant would choose to help in a given situation. By changing the number of people present in the room, the researchers were able to measure the effects of diffusion of responsibility on helping behavior.

Diffusion of responsibility is a phenomenon in which individuals are less likely to help a victim when they are in the presence of other people, as they assume that someone else will take responsibility. Therefore, the number of people present in the room was an important variable in the study, as it allowed the researchers to measure how the presence of others affected helping behavior.

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Answer:

X = 25

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

c. t = 18; the Chang family has been driving for 18 hours

Step-by-step explanation:

Given:

D(t) = 2,280 - 60t

Find t when D(t) = 1,200

D(t) = 2,280 - 60t

1200 = 2280 - 60t

Subtract 2280 from both sides of the equation

1200 - 2,280 = 2280 - 60t - 2,280

- 1080 = - 60t

Divide both sides by -60

- 1080 / -60 = - 60t / -60

18 = t

t = 18

This means the Chang family has been driving for 18 hours

c. t = 18; the Chang family has been driving for 18 hours

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total of 2 days

Total of 3 days - $1294.77

Sunday

Answer:

  66%

Step-by-step explanation:

Let u represent the number from the USA. Then the number from Singapore is u-120. The given relationship is the fraction of participants from Singapore:

  (u -120) = 0.26(u +(u -120) +24)

  u -120 = 0.52u -24.96

  0.48u = 95.04

  u = 198 . . . . . . . . divide by the coefficient of u; participants from the USA

Then the fraction from the USA is ...

  u/(2u-96) = 198/300 = 66% . . . percentage from the USA

_____

Additional comment

198 (66%) were from the USA

78 (26%) were from Singapore

24 (8%) were from Japan

The matrix in its reduced row echelon form is:[4, -1 | 2] [0, 1 | 2]

Given the system of equations is:4x - y = 2 and -x + y = 4To solve the given system of equations using the augmented matrix and elementary row operations, we represent the system as a matrix equation of the form AX = B, where A is the coefficient matrix of the variables, X is the matrix of the variables, and B is the constant matrix.

Therefore, we get the matrix as:⇒ [4, -1 | 2] [ -1, 1 | 4]To simplify this matrix into its reduced row echelon form, we perform elementary row operations as follows:R2 → R2 + R1Hence the matrix in its reduced row echelon form is:[4, -1 | 2] [0, 1 | 2]

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Answer:

Vertex: (4,-1)

Explanation:

Given the quadratic function:

Comparing it with the quadratic function: y=ax²+bx+c

First, determine the x-value of the vertex using the formula: x=-b/2a

Next, substitute x=4 into y.

Therefore, the vertex of the function will be:

Answer:You can choose 6 different sets of 5 books to read.

Step-by-step explanation:All you need to do is do 30 divided by 5 and you get 6

Im pretty sure its permutation

Answer:

4500

so, have a good day, and um, i think i got this right, if not sry.

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

24 minutes for 3 large arrangements

54 minutes for 9 small arrangements

6 minutes for each small arrangement

8 minutes for each large arrangement  

Step-by-step explanation:

hope this helps!

Option D is the graph that represent the variation of the gravitational energy (E) with the distance (r) from the centre of a spherical shell of mass M radius R

When R is less than r, the graph we would have  is a straight line. When R = r, it has constant value and finally if R is more than r it is a hyperbola.

The intensity that is inside the spherical shell would be given as 0. Then we would have this represented as

I = 0

upto r = R

I ∝ I/r²

r > R

Hence D

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Answer:

The negative signs are switched.

-5 + 3 = -2, whereas -3 + 5 = 2.

Answer:

parent funiction y=|x|

hozonital shift right 3 units

vertical shift up 1 units

reficlation none

vertical none

Step-by-step explanation:

So 30 is the answer

Hope this helps

Therefore, After 20 minutes, there are approximately 11.9 kg (rounded to one decimal place) of salt in the tank.

To solve this problem, we need to consider the rate of change of the amount of salt in the tank over time.

(a) Let's denote the amount of salt in the tank after t minutes as y (in kg). We can set up a differential equation to represent the rate of change of salt:

dy/dt = (rate of salt in) - (rate of salt out)

The rate of salt in is given by the concentration of salt in the incoming water (0 kg/L) multiplied by the rate at which water enters the tank (90 L/min). Therefore, the rate of salt in is 0 kg/L * 90 L/min = 0 kg/min.

The rate of salt out is given by the concentration of salt in the tank (y kg/9000 L) multiplied by the rate at which water leaves the tank (90 L/min). Therefore, the rate of salt out is (y/9000) kg/min.

Setting up the differential equation:

dy/dt = 0 - (y/9000)

dy/dt + (1/9000)y = 0

This is a first-order linear homogeneous differential equation. We can solve it by separation of variables:

dy/y = -(1/9000)dt

Integrating both sides:

ln|y| = -(1/9000)t + C

Solving for y:

y = Ce^(-t/9000)

To find the particular solution, we need an initial condition. We know that at t = 0, y = 12 kg (the initial amount of salt in the tank). Substituting these values into the equation:

12 = Ce^(0/9000)

12 = Ce^0

12 = C

Therefore, the particular solution is:

y = 12e^(-t/9000)

(b) To find the amount of salt in the tank after 20 minutes, we substitute t = 20 into the particular solution:

y = 12e^(-20/9000)

y ≈ 11.8767 kg (rounded to one decimal place)

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Answer:

Happy Tuesday! Here i'll explain it:

Step-by-step explanation:

First you will have to make 2 2/5 into a improper fraction and then subtract the 5/6. after you have done that multiply the 3/4 to the number

The evolution of the Korean fashion industry has had strategic implications for Korean fashion firms' global expansion strategies. As the market has become stagnant and global luxury and SPA brands have aggressively entered the market, local fashion firms have faced challenges in sustaining their growth momentum.

To overcome these challenges, Korean fashion firms have adopted diverse strategies, including direct entry, licensing, and acquisitions, to successfully tap into the global market. Kolon FnC, one of the five affiliates of Kolon Industries, has focused on its strength in the sports and outdoor segment to differentiate itself from its global competitors.

Kolon FnC has implemented several strategic moves to enhance its global expansion. Firstly, it has diversified its fashion portfolio by acquiring small-sized designer shops and fashion accessory shops since 2010. This allows the company to offer a wider range of products and create a young and vibrant brand image.

Additionally, Kolon FnC has collaborated with artists to create new value and attract consumers. By leveraging its R&D capability for new garment materials, led by its sister affiliate Kolon Fashion Material, the company can stay innovative and meet the demands of the global market.

In comparison to its major local competitors, Kolon FnC's global expansion strategy stands out. While Korean fashion firms typically focus on licensing or acquiring foreign brands, Kolon FnC has taken a different approach by acquiring small-sized designer shops and fashion accessory shops. This unique strategy allows them to have more control over their brand image and product offerings.

Based on the comparative analyses of Kolon FnC and its competitors, future strategic directions for Kolon FnC can be recommended. Firstly, the company should continue to focus on attracting talented young designers in Korea to differentiate itself from global competitors. This can be a viable source of competitive advantage in the global fashion industry.

Additionally, Kolon FnC should further enhance its R&D capability to develop new garment materials. This will enable the company to stay ahead in terms of innovation and meet the changing demands of consumers.

Overall, the strategic implications of the evolution of the Korean fashion industry have prompted Korean fashion firms, including Kolon FnC, to adopt diverse global expansion strategies. By focusing on their strengths, diversifying their fashion portfolio, collaborating with artists, and enhancing their R&D capability, these firms can position themselves competitively in the global market.

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Answer:

  multiply the numerators; express that product over the product of the denominators

Step-by-step explanation:

Multiplication of fractions is done the same way regardless of whether the denominators are the same or different.

  \(\dfrac{a}{b}\times\dfrac{c}{d}=\dfrac{ac}{bd}\)

The numerator of the product is the product of the numerators.

The denominator of the product is the product of the denominators.

The values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

The perpendicular height of the right triangle divides the triangle in two triangles with the same proportions as the original triangle.

√15/(y + 2) = y/√15 {opposite/adjacent}

y(y + 2) = (√15)² {cross multiplication}

y² + 2y = 15

y² + 2y - 15 = 0

by factorization;

(y - 3)(y + 5) = 0

y = 3 or y = -5

by Pythagoras rule:

(√15)² = x² + y²

15 = x² + 3²

x = √(15 - 9)

x = √6

z² = (√6)² + 2²

z = √(6 + 4)

z = √10

Therefore, the values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

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