A movie ticket costs $12 with a discount of 5%. What is the amount of discount and the sale price?

Answer:

The possible lengths of TR : TR = 17, 40, 42, 52,

Step-by-step explanation:

Given: Triangle WTR with WT = 25 and WR = 40. Identify all possible lengths for TR.

To find the possible lengths of the third side of a triangle:

c - a< b > a + c

a = WT = 25

c = WR= 40

b = TR = ??

40 - 25 < b < 40 + 25

15 < b < 65

The possible lengths of TR has to be greater than 15 and less than 65, Hence: TR = 17, 40, 42, 52,

Answer:

Angle e = 48

Angle K = 97

Step-by-step explanation:

127+88=215

145 degrees left

15x+10=145

15x=135

x=9

Angle e = 48

Angle K = 97

Answer:

4

Step-by-step explanation:

2*6 = 12

3*4 =12

these are all the numbers that would be a factor of 12 between 2-10

Answer:

True

Step-by-step explanation:

8 + 5 = 13 + 5 = 18 + 5 = 23.

Answer:

30 cm

Step-by-step explanation:

Make sure all units are the same!

P = Perimeter

A = Area

Formula used for similar figures:

\(\frac{A_{1}}{A_{2}} = (\frac{l_{1}}{l_{2}})^{2}\) —- eq(i)

\(\frac{P_{1}}{P_{2}} = \frac{l_{1}}{l_{2}}\) ———— eq(ii)

Applying eq(ii):

∴\(\frac{25}{P_{2}} = \frac{10}{12}\)

Cross-multiplication is applied:

\((25)(12) = 10P_{2}\)

\(300 = 10P_{2}\)

\(P_{2}\) has to be isolated and made the subject of the equation:

\(P_{2} = \frac{300}{10}\)

∴Perimeter of second figure = 30 cm

Answer:

A

Step-by-step explanation:

The angle between 30⁰ and S⁰ is 60⁰ because it adds up with 30⁰ to give 90⁰.

Then 60⁰ + S⁰ = 180⁰. Evaluate this and it gives you S⁰ = 120⁰.

The tangent vector  → \(r(t)=〈4cos(2t),4sin(2t),5t〉\), normal vector at t=0 is given by →N(0) = 〈-1,0,0〉, and binormal vector at t=0 is given by →\(B(0) = 〈0, -0.441, -0.898〉\)

The tangent vector, normal vector, and binormal vector of the given curve are as follows:

Given curve:

→ \(r(t)=〈4cos(2t),4sin(2t),5t〉\) at the point t=0

To find: Tangent vector, the Normal vector, and the Binormal vector (→T, →N and →B) at the point t=0

Tangent vector: To find the tangent vector of the given curve

→\(r(t)=〈4cos(2t),4sin(2t),5t〉\) at the point t=0,

we need to differentiate the equation of the curve with respect to t.t = 0, we have:

→\(r(t) = 〈4cos(2t),4sin(2t),5t〉→r(0) = 〈4cos(0),4sin(0),5(0)〉= 〈4,0,0〉\)

Differentiating w.r.t t:→\(r(t) = 〈4cos(2t),4sin(2t),5t〉 → r'(t) = 〈-8sin(2t),8cos(2t),5〉t = 0\),

we have:

→\(r'(0) = 〈-8sin(0),8cos(0),5〉= 〈0,8,5〉\)

Therefore, the tangent vector at t = 0 is given by

→\(T(0) = r'(0) / |r'(0)|= 〈0,8,5〉 / sqrt(89)≈〈0.000,0.898,0.441〉\)

Normal vector:To find the normal vector of the given curve

→\(r(t)=〈4cos(2t),4sin(2t),5t〉\)

at the point t=0, we need to differentiate the equation of the tangent vector with respect to t.t = 0, we have:

→\(T(0) = 〈0.000,0.898,0.441〉\)

Differentiating w.r.t t:

→\(T'(t) = 〈-16cos(2t),-16sin(2t),0〉t = 0\),

we have:

→\(T'(0) = 〈-16cos(0),-16sin(0),0〉= 〈-16,0,0〉\)

Therefore, the normal vector at t = 0 is given by

→\(N(0) = T'(0) / |T'(0)|= 〈-16,0,0〉 / 16= 〈-1,0,0〉\)

Binormal vector: To find the binormal vector of the given curve

→\(r(t)=〈4cos(2t),4sin(2t),5t〉\)

at the point t=0, we need to cross-product the equation of the tangent vector and normal vector of the curve.t = 0, we have:

→\(T(0) = 〈0.000,0.898,0.441〉→N(0) = 〈-1,0,0〉\)

The cross product of two vectors:

→\(B(0) = →T(0) × →N(0)= 〈0.000,0.898,0.441〉 × 〈-1,0,0〉= 〈0, -0.441, -0.898〉\)

Therefore, the binormal vector at t = 0 is given by→B(0) = 〈0, -0.441, -0.898〉

Hence, the tangent vector, normal vector, and binormal vector of the given curve at t=0 are as follows:

→\(T(0) = 〈0.000,0.898,0.441〉→N(0) = 〈-1,0,0〉→B(0) = 〈0, -0.441, -0.898〉\)

The given curve is

→\(r(t)=〈4cos(2t),4sin(2t),5t〉 at the point t=0.\)

We are asked to find the tangent vector, the normal vector, and the binormal vector of the given curve at t=0.

the tangent vector at t=0. To find the tangent vector, we need to differentiate the equation of the curve with respect to t. Then, we can substitute t=0 to find the tangent vector at that point. the equation of the curve Is:

→\(r(t) = 〈4cos(2t),4sin(2t),5t〉\)

At t = 0, we have:

→\(r(0) = 〈4cos(0),4sin(0),5(0)〉= 〈4,0,0〉\)

We can differentiate this equation with respect to t to get the tangent vector as:

→\(r'(t) = 〈-8sin(2t),8cos(2t),5〉\)

At t=0, the tangent vector is:

→\(T(0) = r'(0) / |r'(0)|= 〈0,8,5〉 / sqrt(89)≈〈0.000,0.898,0.441〉\)

Next, we find the normal vector. To find the normal vector, we need to differentiate the equation of the tangent vector with respect to t. Then, we can substitute t=0 to find the normal vector at that point.

At t=0, the tangent vector is:

→\(T(0) = 〈0.000,0.898,0.441〉\)

Differentiating this equation with respect to t, we get the normal vector as:

→\(T'(t) = 〈-16cos(2t),-16sin(2t),0〉\)

At t=0, the normal vector is:

→\(N(0) = T'(0) / |T'(0)|= 〈-16,0,0〉 / 16= 〈-1,0,0〉\)

Finally, we find the binormal vector. To find the binormal vector, we need to cross-product the equation of the tangent vector and the normal vector of the curve.

At t=0, we can cross product →T(0) and →N(0) to find the binormal vector.

At t=0, the tangent vector is:

→\(T(0) = 〈0.000,0.898,0.441〉\)

The normal vector is:

→N(0) = 〈-1,0,0〉Cross product of two vectors →T(0) and →N(0) is given as:

→\(B(0) = →T(0) × →N(0)= 〈0.000,0.898,0.441〉 × 〈-1,0,0〉= 〈0, -0.441, -0.898〉\)

Therefore, the tangent vector, normal vector, and binormal vector of the given curve at t=0 are:

→\(T(0) = 〈0.000,0.898,0.441〉→N(0) = 〈-1,0,0〉→B(0) = 〈0, -0.441, -0.898〉\)

The tangent vector of the given curve

→\(r(t)=〈4cos(2t),4sin(2t),5t〉\)

at the point t=0 is given by →\(T(0) = 〈0.000,0.898,0.441〉.\)

The normal vector at t=0 is given by →N(0) = 〈-1,0,0〉.

The binormal vector at t=0 is given by →B(0) = 〈0, -0.441, -0.898〉.

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Answer:

she messed up on step two because she has to subtract 10 from both sides

Step-by-step explanation:

step 1: -6(x+3)+10<-2

step2:-6(x+3)+10-10<-2-10

step3: -6(x+3)<-12

step4: (-6)(x+3)(-1)≥(-12)(-1)

step5:6(x+3)>12

step6:divide both sides by 6

step7:simplify and subtract 3 from both sides and then simplify again

Make sure to adjust the folder structure according to your needs when testing the code.

Here is the implementation of the `create_folders` function that takes a nested 2D list of strings representing folder structure and creates the corresponding folder structure:

```python

import os

def create_folders(structure):

   for item in structure:

       if isinstance(item, str):

           # Create the folder

           os.makedirs(item, exist_ok=True)

       elif isinstance(item, list):

           # Recursively create subfolders

           folder_name = item[0]

           subfolders = item[1:]

           os.makedirs(folder_name, exist_ok=True)

           os.chdir(folder_name)

           create_folders(subfolders)

           os.chdir('..')

```

You can test the function by creating your own folder structure and calling the `create_folders` function with it. For example:

```python

structure = ['f1', ['subf11', 'subf12'], 'f2', ['subf21', 'subf22', 'subf23'], 'f3']

create_folders(structure)

```

This will create the following folder structure:

```

- f1

   - subf11

   - subf12

- f2

   - subf21

   - subf22

   - subf23

- f3

```

Make sure to adjust the folder structure according to your needs when testing the code.

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Answer:

∠ FGH = 125°

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary, then

∠ FGH + ∠ GHJ = 180° , that is

∠ FGH  + 55° = 180° ( subtract 55° from both sides )

∠ FGH = 125°

Answer: m∠FGH = 125°

Step-by-step explanation:

In a parallelogram, adjacent angles are supplementary (add up to 180°).

From the diagram, we can see that m∠GHJ and m∠FGH are adjacent.

This means that:

m∠GHJ + ∠FGH = 180° where ∠FGH is ∠x and ∠GHJ = 55°

55° + m∠x = 180° (subtract 55 from both sides)

m∠x = 125°

Answer:

The length of the altitude from the right angle to the hypotenuse of a right triangle is the geometric mean of the two segments that make the hypotenuse.

Answer:

The limit as x approaches 3 is 4.

Step-by-step explanation:

Hi there,

When finding the limit, you have to look at which point the function is approaching from BOTH SIDES. As seen in this example, the function is approaching 4 from both sides when x approaches 3.

Hope this is helpful. Feel free to ask questions. Cheers.

Answer:

now please help me now Solve this 3

Step-by-step explanation:

Contents for a nonlinear system equation that can detect the problem of a body for clinical trials trials in the book require a number to be evaluated and to be addressed to a working knowledge of the purpose

Answer: It is not possible

Step-by-step explanation:

to have a triangle with sides 5 cm, 3 cm and 2 cm. Sum of any two sides of a triangle must be greater than the third side.

3 cm + 2 cm = 5 cm

The first step in solving In(x - 1) = 1n6 - Inx for x is to simplify the right side using the "difference of two logs is the log of the quotient" property. So, correct option is C.

The property states that log(base a) b - log(base a) c = log(base a) (b/c). Applying this property to the equation, we get:

In(x - 1) = ln(6) - ln(x)

In(x - 1) = ln(6/x)

Now we have a single logarithm on both sides of the equation. The next step would be to eliminate the logarithm on the left side by taking the exponential of both sides, i.e., \(e^{(ln(x-1))\)= x - 1. Then we can solve for x by isolating it on one side of the equation.

So, correct option is C.

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The domain and range of f(x) = -24 are given as follows:

The domain and range of f(x) = 0.5(x + 4)² - 11 are given as follows:

The range of y = -2x² + 12x - 13 is given as follows:

y <= 5.

The domain of a function is the set that contains all the input values that can be assumed by the function.

As neither of the functions in this problem have any restriction, the domain is all real values for the two of them.

The range of a function is the set that contains all the output values that can be assumed by the function.

The ranges are given as follows:

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The measure of the angle in degrees is approximately 54 degrees.

a. The circumference of the circle is 133.2 cm, so 1/360th of the circumference is:

133.2 / 360 = 0.37 cm

The arc subtended by the angle's rays is 19.98 cm long, which is some fraction of the circle's circumference. To find this fraction as a percentage, we can use the formula:

fraction = arc length / circumference

fraction = 19.98 / 133.2

fraction ≈ 0.150

This fraction as a percentage is:

0.150 * 100% = 15%

Since an angle that makes a full rotation measures 360 degrees, we can set up a proportion to find the measure of the given angle in degrees:

arc length / circumference = angle measure / 360

Substituting the given values, we get:

19.98 / 133.2 = angle measure / 360

Solving for the angle measure, we get:

angle measure = (19.98 / 133.2) * 360

angle measure ≈ 54 degrees

Therefore, the measure of the angle in degrees is approximately 54 degrees.

b. The arc subtended by the angle's rays is 15% of the circumference of the circle, so the remaining part of the circumference (that is not subtended by the angle) is:

100% - 15% = 85%

Since this remaining part of the circumference is divided equally by the two rays of the angle, each ray subtends an arc that is:

85% / 2 = 42.5%

Therefore, the angle itself subtends an arc that is 15% of the circle's circumference, which is equivalent to 54 degrees (as found in part a).

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2/45 is the probability that the ball will be both red.

Probability is the measure of the possibility of an event to occur.

It basically ranges from 0 t0 1

10% of the candies are green

10% of the candies are red

20% of the candies are yellow

20% of the candies are blue

20% of the candies are orange.

Hence,

P ( brown ) = .1

P ( red ) = .1

P ( blue ) = .2

P ( yellow ) = .2

P ( orange ) = .2

P ( green ) = .2

The rest is brown. The percentage of brown candies is not important to this problem.

If you pick a candy at random, what is the probability that it is either red or yellow?

Probability of red = 0.1

Probability = (¹⁰C₁ × 0.1 +  ¹⁰C₁ ×0.1) / ¹⁰C₂

                  = 2 / 45

2/45 probability that it is both red.

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Answer: well you have to give us  more information

Step-by-step explanation:

Answer: Figure A

The rest of the question is shown below.

The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.

First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17

Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40

Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65

Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92

Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.

The present value of the dividends can be calculated as follows:

PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)

where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:

PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)

PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5

PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59

PV ≈ $16.22

Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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Answer:

6^2 = 36

Step-by-step explanation:

10^2 = 10 * 10 = 100

4^3 = 4 * 4 * 4 = 64

10^2 - 4^3= 100 - 64 = 36 = 6^2

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(6^2\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Calculating the answer...}}\\\\10^2 - 4^3\\---------------\\\rightarrow 10^2 = 100\\\\\rightarrow 4^3 = 64\\\\\rightarrow 100 - 64 = \boxed{36}\\\\\text{Since we know that '36' is a perfect square, we can rewrite our answer as: } \boxed{6^2}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

(a) Joyce's hourly rate of pay is approximately $44.41.

(b) Joyce's gross pay, including overtime, is approximately $1800.42.

To calculate Joyce's hourly rate of pay, we divide her monthly salary by the number of hours in a regular workweek.

Calculate Hourly Rate of Pay:

Monthly Salary = $1554.62

Regular Workweek Hours = 35

To find the hourly rate of pay, we divide the monthly salary by the number of hours in a regular workweek:

Hourly Rate of Pay = Monthly Salary / Regular Workweek Hours

                   = $1554.62 / 35

                   ≈ $44.41

Calculate Gross Pay with Overtime:

To calculate Joyce's gross pay with overtime, we need to determine the number of overtime hours worked and the overtime rate.

Let's assume Joyce worked 'x' hours of overtime during the month. Since overtime pay is time-and-a-half of the regular pay rate, the overtime rate is 1.5 times the hourly rate of pay.

Regular Workweek Hours = 35

Overtime Hours = x

Hourly Rate of Pay = $44.41

Overtime Rate = 1.5 * Hourly Rate of Pay

To calculate Joyce's gross pay with overtime, we use the following formula:

Gross Pay = (Regular Workweek Hours * Hourly Rate of Pay) + (Overtime Hours * Overtime Rate)

          = (35 * $44.41) + (x * 1.5 * $44.41)

          = $1554.35 + 2.21x

Calculate Gross Pay (approximate):

Given that Joyce's gross pay is approximately $1800.42, we can set up the following equation:

$1554.35 + 2.21x ≈ $1800.42

By rearranging the equation and solving for 'x', we can find the approximate number of overtime hours:

2.21x ≈ $1800.42 - $1554.35

2.21x ≈ $246.07

x ≈ $246.07 / 2.21

x ≈ 111.12

Therefore, Joyce worked approximately 111.12 hours of overtime during the month.

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Answer: 4.92 hours

Step-by-step explanation:

4 hours 55 minutes=

4 hours 55/60 hours=

240/60 hours + 55/60 hours=

295/60 hours=4.92 hours

Answer:

The correct answer is C

Perpendicular lines have opposite reciprocal slope.

So,  if the slope of the line  is -3, then the slope of the perpendicular line is 1/3.

Let me know if this helps!

Answer:

See explanation.

Step-by-step explanation:

You have to use the inverse operation of -6 to get x by itself. So you have to add 6 to each side to get rid of the -6. And -12+6=-6. So, x=6.

Answer:

X is -6

Step-by-step explanation:

You have to add 6 to both sides like -6+6 and -12+6

-12+6=-6 which is the answer because -6-6 is -12

Answer:

Step-by-step explanation:

sinθ = 63/√(16² + 63²) = 63/65

cosθ = 16/65

The rational expression has a value of 0 when x = 2  is shown by option B

A rational expression is a mathematical expression that represents a ratio of two polynomial expressions. It is in the form of P(x)/Q(x), where P(x) and Q(x) are polynomials, and Q(x) is not equal to zero.

Rational expressions are commonly used in algebra to represent relationships, solve equations, and perform calculations involving variables.

Let us look at the values;

\(7x - 5/x^2 + \\7(2) - 5/(2)^2\)

= 9/4

B;

-3x + 6/8x + 9

-3(2) + 6/8(2) + 9

= 0

C;

-5x + 2/x - 2

-5(2) + 2/2 - 2

= ∞

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Missing parts;

Which rational expression has a value of 0 when x = 2 ? A) 7x -5/x2 + 10 B) -3x +6/8x-9 C) -5x + 8 / x-2

The order of the numbers from least to greatest is given by 0.003,1/5³,3/8,4/7,√5

A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32, etc.

Given here: The numbers are 1/5³ , 4/7,√5,3/8,0.003

To get a clarity of the magnitude of the numbers lets convert every number into decimal numbers.

Now we know To convert a fraction to a decimal, we'll just divide the numerator...by the denominator.

Thus 1/5³=1/125

              =0.008

4/7=0.5714

3/8=0.375

√5=2.2361

and 0.003

Now arranging the numbers from in ascending order we get

0.003,0.008,0.375,0.5714,2.2361

Hence, The order of the numbers from least to greatest is given by 0.003,1/5³,3/8,4/7,√5

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