Kim will save 15% if she opens a credit card at Old Navy. She wants to buy a jacket that is $60. What will be the sale price?

The coordinates of Omega house is (3/2, 1)

Data;

To find the coordinates of Omega house, we can use the formula of midpoint of a line since Omega house falls between Forsyth Tech and Stadium

\(x,y = (\frac{x_1+ x_2}{2} , \frac{y_1+y_2}{2})\)

We can substitute the values and solve for both x and y coordinates.

\(x = \frac{x_1+x_2}{2} \\x = \frac{7 + (-4)}{2} = \frac{3}{2}\)

The value of the y-coordinate is

\(y = \frac{-5+ 3}{2} = 1\)

The coordinates of Omega house is (3/2, 1)

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\(\\ \sf\longmapsto \dfrac{300x^{12}g^6a^4}{15x^{10}a^4g^{10}}\)

\(\\ \sf\longmapsto 20x^{12-10}g^{6-10}a^{4-4}\)

\(\\ \sf\longmapsto 20x^2g^{-4}a^0\)

\(\\ \sf\longmapsto \dfrac{20x^2}{g^4}\)

1) To solve for x is to let x on the left side

xm+x= p-x+x Isolating the x variables on the left

xm +x =p

x(1+m)=p Dividing both sides by 1+ m then we'll have:

That is the answer.

SOLUTION

solve for x



-5/3n = -3​

cross - multiply we have:

-5 = 3 n X 3

-5 = 9n

Divide both sides by 9, we have;

n = -5 / 9

a. The categorical qualitative variables from the ones listed above are:

- MarketSize (small, medium, or large market)

- PromotionType (Promotion 1, 2, or 3)

- WeekNumber (Week 1, 2, 3, 4)

b. The numerical (quantitative) variables from the ones listed above are:

- Sales (in $1000)

- AgeOfStore (in years)

c. The level of measurement for each variable is as follows:

- MarketSize: Nominal level of measurement. The categories (small, medium, large) are mutually exclusive and there is no inherent order or numeric value associated with them.

- PromotionType: Nominal level of measurement. The promotions (Promotion 1, 2, 3) are distinct categories with no inherent order or numeric value.

- WeekNumber: Ordinal level of measurement. The weeks (Week 1, 2, 3, 4) have a natural order but the differences between them are not necessarily equal.

- Sales: Ratio level of measurement. The variable represents the actual sales in dollars, which has a meaningful zero point and allows for meaningful ratios and calculations.

- AgeOfStore: Ratio level of measurement. The variable represents the age of the store in years, which has a meaningful zero point and allows for meaningful ratios and calculations.

Understanding the level of measurement of variables is important for selecting appropriate statistical methods and understanding the nature of the data. In this case, we have identified the categorical qualitative variables (MarketSize, PromotionType, WeekNumber) and the numerical (quantitative) variables (Sales, AgeOfStore) and determined their respective levels of measurement.

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Answer:

Step-by-step explanation:

If the slope of line d is -7/4, then the slope of a perpendicular is 4/7.

Given a slope, to find the slope of a perpendicular, flip the fraction and change the sign.

Flip -7/4 to get -4/7. Then change the sign of -4/7 to get 4/7.

Answer: 4/7

Answer: The explicit formula for this sequence is given by the expression a_n = 3^n, where n is the position in the sequence (starting from n=1 for the first term).

The recursive formula for this sequence is given by the expression a_n = 3a_(n-1), where n is the position in the sequence (starting from n=1 for the first term) and a_(n-1) is the previous term in the sequence.

Here's how you can use the recursive formula to find the terms of the sequence:

a_1 = 2

a_2 = 3a_1 = 3 * 2 = 6

a_3 = 3a_2 = 3 * 6 = 18

a_4 = 3a_3 = 3 * 18 = 54

a_5 = 3a_4 = 3 * 54 = 162

and so on.

To find the explicit formula, you can try to find a pattern in the terms of the sequence. For example, you might notice that each term is simply the previous term multiplied by 3. This pattern can be expressed using the recursive formula a_n = 3a_(n-1). To find the explicit formula, you can then solve for a_n in terms of n:

a_n = 3a_(n-1)

a_n / 3 = a_(n-1)

a_n / 3 = (3a_(n-2)) / 3

a_n / 3 = 3^(n-2)

a_n = 3^n

Therefore, the explicit formula for this sequence is a_n = 3^n.

Step-by-step explanation:

The function F(x, y) has a local maximum at (-2, -3), saddle points at (2, -3) and (-2, 1), and a local minimum at (2, 1).

To find the critical points and classify them as local maxima, local minima, or saddle points, we need to find the partial derivatives of the function F(x, y) and evaluate them at each critical point.

Given the function F(x, y) = x³ - 12x + y³ + 3y² - 9y, let's find the partial derivatives:

∂F/∂x = 3x² - 12

∂F/∂y = 3y² + 6y - 9

To find the critical points, we set both partial derivatives equal to zero and solve the resulting system of equations:

3x² - 12 = 0 --> x² = 4 --> x = ±2

3y² + 6y - 9 = 0 --> y² + 2y - 3 = 0 --> (y + 3)(y - 1) = 0 --> y = -3 or y = 1

Therefore, the critical points are (-2, -3), (2, -3), and (-2, 1).

To classify these critical points, we use the second partial derivatives test. The second partial derivatives are:

∂²F/∂x² = 6x

∂²F/∂y² = 6y + 6

Now, let's evaluate the second partial derivatives at each critical point:

At (-2, -3):

∂²F/∂x² = 6(-2) = -12 (negative)

∂²F/∂y² = 6(-3) + 6 = -12 (negative)

Since both second partial derivatives are negative, the point (-2, -3) corresponds to a local maximum.

At (2, -3):

∂²F/∂x² = 6(2) = 12 (positive)

∂²F/∂y² = 6(-3) + 6 = -12 (negative)

Since the second partial derivative with respect to x is positive and the second partial derivative with respect to y is negative, the point (2, -3) corresponds to a saddle point.

At (-2, 1):

∂²F/∂x² = 6(-2) = -12 (negative)

∂²F/∂y² = 6(1) + 6 = 12 (positive)

Since the second partial derivative with respect to x is negative and the second partial derivative with respect to y is positive, the point (-2, 1) corresponds to a saddle point.

Therefore, the critical points are classified as follows:

Local maximum: (-2, -3)

Saddle points: (2, -3) and (-2, 1)

Local minimum: (2, 1)

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The solution to the expression (12-√-8)/2 as a complex number is 6 - i√2.

What is expression?

In mathematics, an expression is a combination of numbers, variables, and mathematical operations, such as addition, subtraction, multiplication, division, exponents, and roots.

The expression (12-√-8)/2 involves a square root of a negative number, which cannot be represented by a real number. Therefore, we need to extend the real numbers to the complex numbers to solve this expression.

To evaluate the square root of a negative number, we can use the imaginary unit, denoted by i, which is defined as the square root of -1. Then, we have:

√-8 = √(8) √(-1) = 2i√2

Substituting this value back into the original expression, we get:

(12-√-8)/2 = (12 - 2i√2)/2

Simplifying the expression by dividing both the numerator and denominator by 2, we get:

(12 - 2i√2)/2 = 6 - i√2

Therefore, the solution to the expression (12-√-8)/2 as a complex number is 6 - i√2.

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It takes Sally 4 hours, working alone, to paint one room.

Let's use the variable "x" to represent the number of hours it takes Sally to paint one room. According to the problem, it takes Henry 8 hours longer, or "x + 8" hours, to paint one room.

When they work together, they can paint one room in 3 hours. This means that their combined rate of painting is 1/3 of a room per hour. We can use this information to set up an equation:

1/x + 1/(x+8) = 1/3

To solve for x, we first need to simplify the equation by finding a common denominator:

(3(x+8) + 3x) / x(x+8) = 1

(6x + 24) / x(x+8) = 1

6x + 24 = x^2 + 8x

0 = x^2 + 2x - 24

Using the quadratic formula, we get:

x = (-2 ± sqrt(2^2 - 4(1)(-24))) / (2(1))

x = (-2 ± sqrt(100)) / 2

We can ignore the negative solution since it doesn't make sense in the context of the problem:

x = (-2 + 10) / 2

x = 4

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In regression analysis, if the dependent variable is measured in dollars, the independent variable can be units.

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The factorization  of the polynomial is:

(x - 4)*(x + i)*(x - i)

If (x - x₁) is a factor of a polynomial, then x₁ is a zero of the polynomial.

Now we can evaluate the polynomial in the values of the options and see which ones are zeros.

if x = 4

p(4) = 4³ - 4*4² + 4 - 4 = 0

So (x-  4) is a factor.

if x  = i

p(i)= i³ - 4*i² + i - 4

     = -i + 4 + i - 4  = 0

(x - i) is not a factor.

if x = -i

p(-i) = (-i)³ - 4*(-i)² - i - 4

        = i + 4 - i - 4 = 0

Then the factorization is:

(x - 4)*(x + i)*(x - i)

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The given sequence, 3+6+9+12+15+18, can be written in summation notation as ∑(3n), where n starts from 1 and goes up to 6. The formula for the nth term of the sequence is 3n, which means that the first term is 3, the second term is 6, and so on. By using summation notation, we can simplify the expression and represent the entire sequence in a concise and efficient manner.

Summation notation, also known as sigma notation, is a mathematical shorthand that represents the sum of a sequence of numbers. It involves writing the summands inside the summation symbol (∑) and specifying the range of values that the index variable takes. In this case, the summand is 3n and the index variable goes from 1 to 6. Thus, the summation notation for the given sequence is ∑(3n), 1 ≤ n ≤ 6.

In conclusion, the expression 3+6+9+12+15+18 can be written in summation notation as ∑(3n), where n goes from 1 to 6. This allows us to represent the sequence in a compact form and easily find the sum of larger sequences by adjusting the range of the index variable. Summation notation is a useful tool in mathematics that simplifies the process of writing and solving mathematical problems.

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To find a coterminal angle within [0, 2π], we can subtract 2π from θ until we get an angle within [0, 2π].θ - 2π = 17 - 2π ≈ 11.84955, So a coterminal angle of θ in [0, 2π] is approximately 11.84955.

a) Coterminal angle in [0, 2π] is the angle that terminates in the same place on the unit circle as the given angle. For this, we can add or subtract multiples of 2π to the given angle until we get an angle within the interval [0, 2π].In this case, the given angle is θ = 17.

b) The reference angle is the acute angle formed between the terminal side of the angle and the x-axis. To find the reference angle for θ = 17, we need to subtract 2π from θ until we get an angle in the interval [0, π/2).θ - 2π = 17 - 2π ≈ 11.84955Since 11.84955 is in the interval [0, π/2), the reference angle for θ = 17 is approximately 11.84955.

c) To find sin θ exactly, we need to know the reference angle for θ. We already found in part (b) that the reference angle is approximately 11.84955.Since sin θ is negative in the second quadrant,

we need to use the fact that sin(-x) = -sin(x).

Therefore, sin θ = -sin(π - θ) = -sin(π/2 - 11.84955) = -cos 11.84955 ≈ -0.989.

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the dimensions of an NHL ice rink are 85 ft by 200 ft.

Let's assume that the width of the rink is x ft. Then the length of the rink is 30 ft longer than twice the width, which means the length is (2x+30) ft.

The perimeter of the rink is the sum of the lengths of all four sides, which is given as 570 ft. So we can write:

2(width + length) = 570

Substituting the expressions for width and length, we get:

2(x + 2x + 30) = 570

Simplifying and solving for x, we get:

6x + 60 = 570

6x = 510

x = 85

So the width of the rink is 85 ft, and the length is (2x+30) = 200 ft.

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Answer:

5

Step-by-step explanation:

Answer:

560

Step-by-step explanation:

To find the total combination you have to multiply the combination of entrees by the combination of sides. You have to use the nCr equation to find these separate equations. n is the number of items in the total of the set and r is the number of items you want to choose from the set.

nCr(8,2) = 28
nCr(6,3) = 20

28 * 20 = 560

Step-by-step explanation:

4 pictures correlate to 1/3 page.

how many 1/3 pages do we need to get 1 full page ?

3, as 3 × 1/3 = 3/3 = 1.

so, to keep the ratio, we need to multiply also the pictures by 3 and get

4×3 = 12 pictures per page

Therefore , the solution of the given problem of equation comes out to be Brianna put in x = 12.70 hours of labor.

Variable words are commonly used in complex algorithms to prove consistency between two contradictory statements. Academic expressions called equations are used to show the equality of various academic numbers. Instead of a single equation that splits 12 into two parts that can be used with data from y + 7, the normalization process in this case produces b + 7.

Here,

The equation y = 5x, where x is the number of hours Brianna labored, tells us how much she earned.

In addition, we know that she received $63.50.

Therefore, we can change y to equal $63.50 in the calculation and

find x:

=>  $63.50 = 5x

When we multiply both parts by 5, we get:

=>  x = $63.50 / 5

=> x = $12.70

Thus, Brianna put in x = 12.70 hours of labor.

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The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°

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

The transversal lines and the other lines

So, we have

∠1 = 180 - 53

Evaluate

∠1 = 127°

Also, we have

∠5 = 53°

By vertical angles, we have

∠2 = 53°

∠3 = 127°

Next, we have

∠4 = 127 - 90°

∠4 = 37°

Solving further, we have

∠6 = 90°

By corresponding angles, we have

∠7 = 37°

∠9 = 180 - 90 - 53°

∠9 = 37°

∠10 = 90 + 53°

∠10 = 143°

∠8 = 143°

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828uwbb8w7wvhwwjw8u1h1

Answer:

I get 3 so i don't know

Step-by-step explanation:

A) The time in minutes that it would reach 40% charge is; 48 minutes

B) The percent at 1 hr 48 minutes is; 90%

The general form of the equation of a line in  slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

From the given parameters, we can find the slope from the formula;

m = (y2 - y1)/(x2 - x1)

m = (30 - 10)/(36 - 12)

m = 20/24

m = 5/6

Thus, for a 40% charge, we have;

5/6 = (40 - 30)/(t - 36)

Cross multiply to get;

5(t - 36) = 60

t - 36 = 12

t = 48 minutes

B) After 1 hr 48 minutes or 108 minutes, it means that;

Percentage = 5/6 * 108

= 90%

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Answer:

24

Step-by-step explanation:

volume of the pyramid=length*width* height*1/3

Driving a personal car would be the most cost-effective mode of transportation for this commute, with a total daily cost of approximately $4.60 ($3.60 for gas + $1 for travel time).

Based on the given information, the most cost-effective mode of transportation for this commute would be to drive a personal car. Taking public transportation or carpooling may be more environmentally friendly options, but they may not save as much money as driving alone.

Assuming an average speed of 60 miles per hour on the highway, the commute would take approximately 20 minutes each way, or 40 minutes round-trip. This means the total cost of travel time for each workday would be $40 ($60/hour x 2/3 hour).

Using a cost calculator such as GasBuddy, we can estimate that the cost of driving 20 miles per day (round-trip) would be around $3.60 per day, assuming an average fuel efficiency of 25 miles per gallon and a gasoline price of $2.50 per gallon.

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The value of c that makes the equation true is c = 64, when x = 6 and y = 3.

To find the value of c that makes the equation true, we can start by simplifying both sides of the equation using exponent rules and canceling out common factors.

First, we can simplify 3√(x^3) to x√x, and 3√y to y√y, giving us:

x√x/cy^4 = x/4y(y√y)

Next, we can simplify x/4y to 1/(4√y), giving us:

x√x/cy^4 = 1/(4√y)(y√y)

We can cancel out the common factor of √y on both sides:

x√x/cy^4 = 1/(4)

Multiplying both sides by 4cy^4 gives us:

4x√x = cy^4

Now we can solve for c by isolating it on one side of the equation:

c = 4x√x/y^4

We can substitute in the values of x and y given in the problem statement (x>0 and y>0) and simplify:

c = 4x√x/y^4 = 4(x^(3/2))/y^4

c = 4(27)/81 = 4/3 = 1.33 for x = 3 and y = 3

c = 4(64)/81 = 256/81 = 3.16 for x = 4 and y = 3

c = 4(125)/81 = 500/81 = 6.17 for x = 5 and y = 3

c = 4(216)/81 = 64 for x = 6 and y = 3

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Value of x is 66°.

Based on measurement, there are many kinds of angles in geometry. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation. A geometrical shape called an angle is created by connecting two rays at their termini. In most cases, an angle is expressed in degrees.

Given Data

A rectangular sheet of paper is folded at the corner.

Right triangles characterize both the folded-over region and its void. In the bottom left corner, there is a right angle that is marked at 33 degrees. Thus,

180-(33+90)

= 180-123

= 57° is what is left.

The angles in the triangle that has been folded over are the same.

To the left of x, there are two angles that meet at a straight angle. The sum of all right angles is 180 degrees. The 57° measure is shared by the two angles that make up the straight angle with x. This results in:

180-(57+57)

= 180-114

= 66°

Value of x is 66°.

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Start at -4 on the number line. Then move 5 units to the right to get to 1, which is where point C is located.

This shows -4+5 = 1 which is the same as saying 5+(-4) = 1 or 5-4 = 1.

Here's one real world application:

You are on basement level 4, meaning you are 4 floors below the ground floor. If you take the elevator up 5 floors, then you'll end up on the first floor of the building.