Don’s Clothing advertised a clothing sale. On the first day, all clothing was marked 1/10 off. On the second day, unsold items were marked 2/5, the third day, 3/10 off, and so on. If the markdowns continued this way, on which day were prices marked 4/5, or 80% off?
plss help

In a sale, if the normal prices are reduced by 10% and David bought a pair of trainers in the sale for £36 then the marked price of these trainers was £40.

Original price is said to be as the price that was fixed by the MSRP (i.e said to be the Manufacturer’s Suggested Retail Price).

In most of the case scenario, the original price would taken to be as always lower than the current price and then also in some other cases, original price and current price can be taken as the same.

First you have to convert the total percent discount to a decimal by dividing by 100% . Step 2: Set up the equation P=(1−d)x P = ( 1 – d ) x to find the original price of the item where P is the sale price, d is the discount as a decimal, and x is the original price of the item.

The selling price, may be that of a product or a service, is said to be as the customer or client’s final price

To calculate the exact original price of a selected item, you have to divide the sale price by the value of 1 minus the entire value of the percentage off and then divided by 100.

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Answer:

area of triangle =1/2×perpendicular×base

35m²×2=(g-11)(g-8)

70=g(g-8)-11(g-8)

70=g²-8g-11g+88

70=g²-19g+88

0=g²-19g+88-70

0=g²-19g+18

g²-18g-g+18=0

g(g-18)-1(g-18)=0

(g-18)(g-1)=0

either

g=18

or

g=1

Step-by-step explanation:

base=18-8=10m

perpendicular=18-11=7m

The dimensions of the polygon in the shape of right angle triangle is 10 m by 7 m.  

The area of the right angle triangle is the space occupied by it on the two-dimensional plane.

The area of the right angle triangle is half of the product of base and height.

\(A=\dfrac{1}{2}bh\)

Here, (b) is the base of the triangle and (h) is the height.

The area of the polygon is 35 m². The height of the triangle is (g - 11) m and base is (g - 8) m. Thus, using the above formula,

\(A=\dfrac{1}{2}bh\\35=\dfrac{1}{2}(g-11)(g-8)\\70=g^2-8g-11g+88\\0=g^2-19g+18\\\)

On factorizing above equation,

\(0=(g-18)(g-1)\\g=18,1\)

Taking the bigger root, the height of the polygon is,

\(h=g-11)\\h=18-11\\h=7\rm\;m\)  

The base of the polygon is,

\(b=(g-8)\\b=18-8\\b=10\rm\;m\)

Hence, the dimensions of the polygon in the shape of right angle triangle is 10 m by 7 m.  

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In terms of the increasing size of the coefficient of xy, the order of the polynomials would be (3x - y) < 2x + y < x - 2y < x + 3

The first step to ordering the polynomials in terms of the increasing size of the coefficient of xy is to identify the coefficient of xy in each polynomial.

The coefficient of xy in each polynomial is as follows:

x + 3: This polynomial does not contain the term xy, so its coefficient is 0.

2x + y: This polynomial contains the term xy, and its coefficient is 1.

(3x - y): This polynomial contains the term xy, and its coefficient is -1.

x - 2y: This polynomial contains the term xy, and its coefficient is 0.

So, in terms of the increasing size of the coefficient of xy, the order of the polynomials would be:

(3x - y) < 2x + y < x - 2y < x + 3

Therefore, (3x - y) has the smallest coefficient of xy and should be placed at the top, while x + 3 has the largest coefficient of xy and should be placed at the bottom.

You question is incomplete but most probably your full question attached below

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To see the steps of  sum a column in Excel on a Mac.

Now, According to the question:

1. Click the first empty cell below a column of numbers.

2. Do one of the following: Excel 2016 for Mac: : On the Home tab, click  AutoSum. Excel for Mac 2011: On the Standard toolbar, click AutoSum. ...

3. Press RETURN .

How do you sum cells on a Mac?

Once the cells are selected, press the Command key and the = (equal sign) key at the same time. This will automatically sum the selected cells. If you want to sum a specific range of cells, you can do so by selecting the first cell in the range, pressing the Shift key, and then selecting the last cell in the range.

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The ordered pairs for the system of equations f(x) = x^2 -2x + 3 and f(x) = -2x + 12 are (3, 6) and (-3, 18)

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0)

f(x) = x^2 -2x +3 and f(x) = -2x + 12

which means

x^2 -2x +3  = -2x + 12

x^2 -2x +3  + 2x - 12 = 0

x^2 -9 = 0

by factorizing we have

(x-3)(x+3) = 0

x = 3 or -3

when x = 3

f(x) = -2x + 12

f(3) = -2(3) + 12 which is 6

when x = -3

f(-3) = -2(-3) + 12 which is 18

ordered pairs are (3, 6) and (-3, 18)

In conclusion, (3, 6) and (-3, 18) are the ordered pairs

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Options

Answer:

(B) DE, EF, and DF are all different lengths, and the slopes of DE and EF opposite reciprocals.

Step-by-step explanation:

Given a triangle DEF

To prove that it is a right scalene triangle, we must show that two of its sides are perpendicular. This is done by showing that the slopes of two adjacent sides are opposite reciprocals.

In a scalene triangle, no side length is equal to another. Therefore, all the sides  DE, EF, and DF are not equal in length.

The correct option is B.

Answer:

B. DE, EF, and DF are all different lengths, and the slopes of DE and EF opposite reciprocals.

Step-by-step explanation:

I took the test and the answer was B

The values of expressions are:

(a) 1(6×2) + 2 = 14,

(b) 3(0.30 × 2) + 4 = 5.80,

(c) (2 × 1)/(9 × 2) = 1/9.

Part (a) : To calculate the value of the expression 1(6×2) + 2, we perform the multiplication first: 6×2 = 12. Then we multiply the result by 1: 1×12 = 12. Finally, we add 2 to the product: 12 + 2 = 14. So, value of expression is 14.

Part (b) : For the expression 3(0.30 × 2) + 4, we first calculate the multiplication inside the bracket: 0.30 × 2 = 0.60.

Then we multiply the result by 3, 3 × 0.60 = 1.80. Finally, we add 4 to the product: 1.80 + 4 = 5.80.

Thus, the value of the expression is 5.80.

Part (c) : In the expression (2 × 1)/(9 × 2), we calculate the multiplications first: 2 × 1 = 2 and 9 × 2 = 18.

Then we divide the first result by the second: 2/18 = 1/9. Hence, the value of the expression is 1/9.

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The given question is incomplete, the complete question is

Calculate the value of the following expressions here:

(a) 1(6×2) + 2

(b) 3(0.30 × 2) + 4

(c) (2 × 1)/(9 × 2)

The given statement "The adjacency matrix representation of a graph can only represent unweighted graphs." is False because adjacency matrix can represent both unweighted and weighted graphs.

The adjacency matrix representation of a graph can represent both weighted and unweighted graphs. An adjacency matrix is a square matrix that represents the connections between the nodes of a graph.

The matrix has a size of n x n, where n is the number of nodes in the graph. The rows and columns of the matrix represent the nodes of the graph, and the values in the matrix indicate whether there is an edge between two nodes.

In an unweighted graph, the matrix entries are either 0 or 1, indicating the absence or presence of an edge, respectively. In a weighted graph, the matrix entries represent the weight of the edges connecting the nodes.

Therefore, the adjacency matrix of a weighted graph contains real numbers instead of binary values.

One disadvantage of using an adjacency matrix to represent a graph is that it can be memory-intensive. The size of the matrix is proportional to the square of the number of nodes, so it may not be practical for very large graphs.

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Answer: the answer is 1.8 x \(10^{-3}\) because their is 3 (0) on the left side and left Side is negative

Answer:

45 inches

Step-by-step explanation:

Create a proportion where x is the perimeter of the smaller triangle:

\(\frac{5}{3}\) = \(\frac{75}{x}\)

Cross multiply and solve for x:

5x = 225

x = 45

So, the perimeter of the smaller triangle is 45 inches

Answer:

37% = 0.37 = 37/100

Step-by-step explanation:

hope this helps :)

Answer:

1/3 = 3

Step-by-step explanation:

3* 1/3 = 1

1/3 = 1 (3)

1/3 = 3

At least 75% of the flights (or 15 out of the 20 flights) will last between 3 days and 11 days, according to Chebyshev's Theorem.

Chebyshev's Theorem states that for any given number k greater than 1, at least (\(1-\frac{1}{k^2}\)) of the data values in any data set will fall within k standard deviations of the mean.

In this case, we can use Chebyshev's Theorem to determine the minimum number of flights that lasted between 3 and 11 days.

Given:

Mean (μ) = 7 days

Standard Deviation (σ) = 2 days

To find the number of flights within the range of 3 to 11 days, we need to calculate how many standard deviations away from the mean these values are.

Lower Bound:

Value = 3 days

Number of standard deviations away from the

\(mean = \frac{(Value - Mean)}{ Standard Deviation}\)

\(mean =\frac{(3 - 7) }{2}\)

\(mean =\frac{-4}{2}\)

\(mean = -2\)

Upper Bound:

Value = 11 days

Number of standard deviations away from the

\(mean = \frac{(Value - Mean)}{Standard Deviation}\)

\(mean = \frac{(11 - 7)}{2}\)

\(mean = \frac{4}{2}\)

\(mean = 2\)

According to Chebyshev's Theorem, the minimum proportion of data values within k standard deviations of the mean is given by \((1- \frac{1}{k^2} )\).

So, we need to determine the proportion of data within 2 standard deviations, which is k = 2.

Proportion within 2 standard deviations = \(1-\frac{1}{2^2}\)

\(=1-\frac{1}{4}\)

\(= 1 - 0.25\)

\(= 0.75\)

Now, we can find the percentage of \(0.75\):

\(= 0.75\times 100\)

\(= 75\%\)

Therefore, at least 75% of the flights (or 15 out of the 20 flights) will last between 3 days and 11 days, according to Chebyshev's Theorem.

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Answer:

180

Step-by-step explanation:

A 3-digit number cannot start with 0, so the leftmost digit is a choice of 6 digits out of the 7. The middle digit can be chosen from all 7 digits minus the one already used, so there are 6 choices. The right digit can be chosen from 5.

6 × 6 × 5 = .180

The number of three-digit numbers that can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 is 180.

This can be calculated by finding the number of element availabe at first place which is 6 excluding 0 than for second position 6 as first number is excluded and 0 is added and for the last positon the number of possibe combination is 5 as 2 digits are already used.

The final answer is 6*6*5 = 180

so count of 3 digit numbers that can be formed by the given set of digit without repetetion allowed is  180

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In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

A normally distributed phenomenon using standard nomenclature can be described as follows:

A dataset is said to be normally distributed if it follows a bell-shaped curve, which is symmetrical around the mean (µ) and characterized by its standard deviation (σ). In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

For example, if we consider the heights of adult males in a large population, we may observe that the distribution is normally distributed with a mean height (µ) of 175 cm and a standard deviation (σ) of 10 cm. In this case, the nomenclature for this normally distributed phenomenon would be N(175, 100), as the variance is \(10^2 = 100\).

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Answer:

When it was purchased (year 0) the coin was worth $7

Step-by-step explanation:

we have

\(f(t) = 7(2)^t\)

This is a exponential function of the form

\(y=a(b)^x\)

where

a is the initial value

b is the base

In this problem we have

\(a=\$7\)

\(b=2\)

\(b=1+r\)

so

\(2=1+r\)

\(r=1\)

\(r=100\%\)

The y-intercept is the value of the function when the value of x is equal to zero

In this problem

The y-intercept is the value of a rare coin when the year t is equal to zero

\(f(0)=7(2)^0\)

\(f(0)=\$7\)

therefore

The meaning of y-intercept is

When it was purchased (year 0) the coin was worth $7

Answer:

Value of the coin when it was first released

-------------------------------

The y-intercept is the value of f(0).

Substitute t = 0 and find the y-intercept:

This is representing the value of the coin when it was released.

Step-by-step explanation:

everything can be found in the picture

Answer:

-12

Step-by-step explanation:

you have to multiply 2 with the d and 6. Hope this helps you!!

To determine how long it will take for Bob's funds to double, we need to use the concept of compound interest. Compound interest is when interest is added to the initial amount, and then the interest is reinvested, resulting in additional interest in subsequent periods.

Based of the giver information it will take approximately 17.67 years for Bob's funds to double with a 4% annual interest rate.
In this case, Bob has $2,500 invested in a bank that pays 4% interest annually.

To find out how long it will take for his funds to double, we can use the formula for compound interest:
Future Value = Present Value * (1 + Interest Rate)^Number of Periods

In this case, the Future Value is twice the Present Value (double), the Present Value is $2,500, and the Interest Rate is 4% (or 0.04). We need to find the Number of Periods.
So, let's plug the values into the formula:
2 * $2,500 = $2,500 * (1 + 0.04)^Number of Periods

Now, we need to solve for the Number of Periods. Let's simplify the equation:

2 = (1 + 0.04)^Number of Periods

To solve for the Number of Periods, we can take the logarithm of both sides of the equation. Since the interest is compounded annually, we'll use the logarithm with base 1.04 (1 + 0.04):
log base 1.04 of 2 = Number of Periods
Number of Periods ≈ log base 1.04 of 2 ≈ 17.67
Therefore, it will take approximately 17.67 years for Bob's funds to double with a 4% annual interest rate.

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Answer: A monomial representation is a way to express a polynomial as a product of powers of its variables, where each power is a non-negative integer. For example, the polynomial 2x^3 + 4x^2 - 6x + 8 can be represented as a monomial representation of (2x^3)(x^2)(-6x)(8).

Symmetric polynomials are polynomials that are invariant under permutation of their variables. A symmetric presentation is a way of expressing a symmetric polynomial as a sum of elementary symmetric polynomials, which are defined as the sum of all possible products of variables taken i at a time, where i ranges from 1 to the number of variables. For example, the symmetric polynomial x^3 + y^3 + z^3 can be expressed as a symmetric presentation of x + y + z.

Step-by-step explanation:

The volume of the remaining piece of ice cube is 6911.5 cubic cm

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

The figure

Where, we have

Radius, r = 20/2  = 10 cm

Height, h = 33 cm

The volume of the remaining piece is calculated is

V = 2/3πr²h

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

V = 2/3 * 22/7 * 10² * 33

Evaluate

V = 6911.5

Hence, the volume of the remaining piece is 6911.5 cubic cm

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The square of a binomial, the value of the constant \(c\) should be equal to half the coefficient of the linear term squared, which in this case is \(c = \left(\frac{22}{2}\right)^2 = 121\). Therefore, the constant that needs to be filled in is 121.

To express the quadratic expression \(x^2 + 22x + c\) as the square of a binomial, we need to find a binomial of the form \((x + a)^2\) that expands to \(x^2 + 22x + c\). Expanding \((x + a)^2\) gives \(x^2 + 2ax + a^2\). Comparing the coefficients of the expanded binomial and the given quadratic expression, we can equate the linear terms to find \(2ax = 22x\), which gives \(a = 11\). Substituting this value of \(a\) back into the expanded binomial, we have \(x^2 + 22x + 121\). Therefore, the constant that needs to be filled in is 121.

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Answer:

Step-by-step explanation:

The expression for the lateral area of a cylinder is given as

AL=2πrh

where r is the radius of the circular surface of the cylinder

and h represents the height of the cylinder

while the constant π has a value of 3.142

Now upon substitution we can solve for the lateral area and the unit for the lateral area is (units)^2 i,e cm^2, mm^2 or m^2 etc.

The sample size for estimating the proportion is 2637.

Given,

How many people should be included in the sample if we want to have 96% confidence that our sample proportion will be within 0.02 of the true fraction of the voting population given the data?

E = 0.02

c = 96% = 0.96

\(\hat p\) or P = 0.5 (We have no idea about P, in this case, take P = 0.5)

\(\hat p\)  = 1 - \(\hat p\)  = 0.5

Now,

α = 1 - c = 1 - 0.96 = 0.04

α/2 = 0.04/2 = 0.02

⇒ α/2 = 2.054 (using z table)

The sample size for estimating the proportion is given by,

\(n = Z^2_\alpha _/_2P(1-P)/E^2\)

   = (2.054/0.02)2 * 0.5 * 0.5

   = 2636.8

   = 2637

Hence, the size of sample is 2637.

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Answer:

QN ⊥ PQ

Step-by-step explanation:

The additional information required to conclude that MNPQ is a rectangle is MP = QN, MP || QN, and PQ || MN.

A quadrilateral with equal angles and parallel opposite sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and width of any rectangle form serve as its two distinguishing attributes.

As per the given information in the question,

MP = QN and,

MN = QP

Now, the conditions that will conclude that MNPQ is a rectangle will be,

MP = QN

MP should be parallel to the side QN,

MP || QN

Also, side PQ should be parallel to the side MN

PQ || MN

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Answer:

radius=2, height=3

Step-by-step explanation:

diameter= 2x the radius therefore 4/2=2=radius

cylinder volume formula=πr^2h

volume=12π

height= v/πr^2=12π/π*2^2=12π/π*2^2=12π/4π=3

hope this helped!

Answer:

72

Step-by-step explanation:

6x+6x+8x=180 (∠ sum of Δ)

20x=180

x=9

∠ABC=8(9)

         =72

Answer:

450 kilo watt hour of electricity was used

Step-by-step explanation:

Here, we are interested in calculating the kilowatt-hour of electricity used.

From the question, we are told that the bill is $67.50 and the cost of 1 kilo watt hour is $0.15

So to know the amount of kilowatt hours of electricity used, we will simply divide the bill by the charge per 1 kwh

Mathematically that would be 67.5/0.15 = 450

So the right answer is -74.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

\( = ( - 74)\)

Step-by-step explanation:

\(2(3 - 5 {(2 + 1)}^{2} + 5) \\ 2(3 - 5(2 + 1)(2 + 1) + 5) \\ 2(3 - 5 \times 3 \times 3 + 5) \\ 2(3 - 15 \times 3 + 5) \\ 2(3 - 45 + 5) \\ 2( - 42 + 5) \\ 2( - 37) \\ 2 \times - 37 \\ = - 74\)

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