does anyone know the bottom answer please

The discount is $4.16 and the selling price is $20.82 for Scenario 2.

To calculate the discount and selling price, we can use the following formulas:

Discount = Mark Price * (Discount Rate / 100)

Selling Price = Mark Price - Discount

Let's calculate the discount and selling price for each scenario:

Scenario 1:

Mark Price: $980

Discount Rate: 12 1/2% (or 12.5%)

Discount = $980 * (12.5 / 100) = $122.50

Selling Price = $980 - $122.50 = $857.50

Therefore, the discount is $122.50 and the selling price is $857.50 for Scenario 1.

Scenario 2:

Mark Price: $24.98

Discount Rate: 16 2/3% (or 16.67%)

Discount = $24.98 * (16.67 / 100) = $4.16 (rounded to two decimal places)

Selling Price = $24.98 - $4.16 = $20.82 (rounded to two decimal places)

Therefore, the discount is $4.16 and the selling price is $20.82 for Scenario 2.

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The process of counting the number of observations is knowns as Tabulation.

The logical representation of the numerical data written in rows and columns is known as tabulation. It helps in to facilitate the statistical analysis. The data that can be organized in the form of table is termed as tabulation. The data in the table can be represented in a systematic manner. The main objective of tabulation is to present the systematic data in a brief manner.

There are two types of tabulation. They are:

1.Simple tabulation

2.Complex tabulation

A simple example for the tabulation is, The population of the people is divided into religion, caste, gender, age etc.

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There are 5040 possible combination of 7 letter words using 3 vowels and 4 consonants.

We know that the word must have 4 consonants and 3 vowels. We have the following vowels in "mathisfun" : i, a, and u.

We have 7 letters that can be used as consonants: m,t,h,s,f,n.

First we need to find the number of ways to choose the 4 consonants out of 7 possible letters, which is 7C4 = 35.

Then we need to find the number of ways to arrange the 4 consonants and 3 vowels, which is 4!*3! = 144

Finally, we multiply those two values together: 35 * 144 = 5040.

So there are 5040 7 letter words that can be made from "mathisfun" if each word must have 4 consonants and 3 vowels.

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Answer:

Infinite amount of solutions

Step-by-step explanation:

Step 1: Write systems of equations

4x - y = 7

3y - 12x = -21

Step 2: Rewrite

-y = 7 - 4x

y = 4x - 7

Step 3: Solve for x

Here we see that we would have infinite amount of solutions.

Answer: infinite solutions. Just took the quiz

Step-by-step explanation:

The value of y= 5.49≈ 5.5cm

What is 30-60-90 traingle?

The 30-60-90 triangle is cut straight through the middle along its altitude, like one half of an equilateral triangle. Its name is derived from its three angles of 30 degrees, 60 degrees, and 90 degrees. Any triangle with angles of 30-60-90 will look like this: The hypotenuse is always twice as long as the shortest leg, and the length of the long leg can be calculated by multiplying the short leg by the square root of three. The shortest leg is across from the 30-degree angle.

By 30-60-90 triangle rule,

Side across 60° angle = x

Hypotenuse side = 2x= 15

Side across 30° angle = x√3

By solving,

2x= 15

x= 7.5cm

So side across 60° angle= 7.5 cm

Side across 30° angle = 7.5×√3

                                     = 7.5× 1.732= 12.99≈ 13cm

As the figure given us square so,

13= 7.5+y

y= 13-7.5

y= 5.5 cm

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Answer:

4+14= 18 this is the answer

Step-by-step explanation:

2(7)=14+4=18

you multiply the 2 and 7 and then add the 4

Answer:

18

Step-by-step explanation:

what this wants you do do is use PEMDAS. the number in parentheses always means to multiply. first youre gonna multiply 2 by 7 which gives you fourteen. then add 4 to 14 which gives you 18.

hope this helped! <3

The equation for the demand curve is Q = a - bP, where Q represents the quantity demanded, P represents the price of the product, a represents the intercept of the demand curve, and b represents the slope of the demand curve.

The equation for the demand curve is a fundamental concept in economics that helps us understand the relationship between the price of a product and the quantity of the product that consumers are willing to buy at that price.

The equation is typically expressed as:

Q = a - bP

The equation shows that as the price of a product increases, the quantity demanded decreases, and vice versa. This is known as the law of demand. It reflects the inverse relationship between price and quantity demanded.

The demand curve is downward sloping because of this inverse relationship. It slopes downwards from left to right, indicating that as the price decreases, the quantity demanded increases, and as the price increases, the quantity demanded decreases.

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Answer:

77 minutes or 1 hour, 17 minutes

Step-by-step explanation:

7000 feet in 20 minutes is 700 feet in 2 minutes or

350 feet per minute

to find the number of minutes to go 26950 feet we can divide that by 350

26950 ÷ 350 = 77 minutes or 1 hour, 17 minutes

there are 33 pleasing ordered triples.

We are given a set {1, 2, 3, 4, 5, 6}. We need to count the number of pleasing ordered triples (a, b, c), where a < b < c, and a, b, c are elements of the set.

Condition (b) requires that both b and c be greater than a. Since a can take any value from 1 to 4, the number of possibilities for (a, b, c) is:

For a = 1, there are 4 choices for b (2, 3, 4, 5) and 5 choices for c (3, 4, 5, 6, 5). However, we must exclude the case where b = c = 5, since both b and c must be greater than a. Therefore, there are 4 × 4 - 1 = 15 pleasing triples with a = 1.

For a = 2, there are 3 choices for b (3, 4, 5) and 4 choices for c (4, 5, 6, 5). However, we must exclude the case where b = c = 5, since both b and c must be greater than a. Therefore, there are 3 × 4 - 1 = 11 pleasing triples with a = 2.

For a = 3, there are 2 choices for b (4, 5) and 3 choices for c (5, 6, 5). However, we must exclude the case where b = c = 5, since both b and c must be greater than a. Therefore, there are 2 × 3 - 1 = 5 pleasing triples with a = 3.

For a = 4, there is only 1 choice for b (5) and 2 choices for c (6, 5). Therefore, there is only 1 × 2 = 2 pleasing triples with a = 4.

The total number of pleasing ordered triples is:

15 + 11 + 5 + 2 = 33

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Answer:

12

Step-by-step explanation:

= 6:3(3+3)

= 6/3 x 6

= 12

Option A. depicts the right goal function and restrictions for constructing the lowest-cost diet that meets the minimum daily protein, calorie, and vitamin B2 requirements. The goal function is to minimize cost, where C = 0.21r + 0.14s, where r and s are the numbers of cups of brown rice and soybeans, respectively.

The constraints are as follows: 15r + 22.5s >= 90, which ensures that the daily requirement of 90 grams of protein is met. 810r + 270s >= 1620, which ensures that the daily requirement of 1620 calories is met. (1/9)r + (1/3)s >= 1, which ensures that the daily requirement of 1 milligram of riboflavin is met.

Finally, r >= 0 and s >= 0 ensure that the number of cups of brown rice and soybeans, respectively, cannot be negative.

To tackle this problem, we may employ linear programming techniques such as the simplex method to determine the values of r and s that minimize the cost function while meeting all constraints. The minimal cost in this example is $2.70, which may be obtained by ingesting 3 cups of brown rice and 1 cup of soybeans every day.

Therefore, Option A is the correct answer.

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Answer:

Step-by-step explanation:

Use this to help; starting out, this is coordinate plain, NOT TO SCALE.

Use the coordinates to figure out midpoints. If you don't know how to, look up the calculation method for it.

Sorry I couldn't help out more, gotta get back to essay.

The coordinates of the point B' are (32, 4)

The given parameters are:

The coordinates of the point B' are calculated as:

B' = k * B

So, we have

B' = 4 * (8, 1)

Evaluate

B' = (32, 4)

Hence, the coordinates of the point B' are (32, 4)

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After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Answer:

6 < u < 8

Step-by-step explanation:

10 > 5u/4 > 15/2

To solve this, we need to isolate the variable u

10(4) > 5u/4(4) > 15/2(4)

40 > 5u > 30

40/5 > 5u/5 > 30/5

8 > u > 6

It probably wants you to write it in order so,

6 < u < 8

Your welcome, and if you have any questions, feel free to comment! :D

\(\\ \rm\hookrightarrow 10>5u/4>15/2\)

\(\\ \rm\hookrightarrow 40>5u>30\)

Divide 5

\(\\ \rm\hookrightarrow 8>u>6\)

If the mean weight of 4 backfield members on the football team is 211lb and the mean weight of the 7 other players is 203lb, the mean weight of the 11-person team is 206lb.

The mean refers to the average of the data value.

The mean can be computed as the quotient of the total value divided by the number of items in the data set.

The mean weight of 4 backfield members on the football team = 211lb

The total weight of the 4 backfield members = 844lb (211 x 4)

mean weight of the 7 other players on the football team = 203lb

The total weight of the 7 other players = 1,421lb (203 x 7)

The total weight of the 11 football team members = 2,265lb (844 + 1,421)

The average or mean weight of the 11 members = 205.9lb (2,265 ÷ 11)

= 206lb

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The future value of the deposits at the end of 5 years is approximately $6,138.74.

To calculate the future value of the deposits, we can use the formula for compound interest:

FV = P(1 + r/n)^(nt)

Where: FV is the future value

P is the principal amount (initial deposit)

r is the annual interest rate (3% in this case)

n is the number of times interest is compounded per year (quarterly in this case)

t is the number of years

In this case, the principal amount is $1,000, the annual interest rate is 3% (or 0.03), the number of times interest is compounded per year is 4 (quarterly), and the number of years is 5.

Plugging in these values into the formula, we get: FV = $1,000(1 + 0.03/4)^(4*5)

Calculating this, the future value of the deposits at the end of 5 years is approximately $6,138.74.

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Using the midpoint formula, the coordinates of the other endpoint, V is: B. (10, -25.8).

To find the coordinates of the midpoint of a segment, the midpoint formula is used, which is expressed as: M(x2 + x1/2, y2 + y1/2).

Given one endpoint of UV as, U(21.6, -8.2), and a midpoint of M(15.8, -17), let:

U(21.6, -8.2) = (x1, y1)

V(x, y) = (x2, y2)

Plug in the values into M(x2 + x1/2, y2 + y1/2):

M(15.8, -17) = (x2 + 21.6/2, y2 + (-8.2)/2)

Solve for x2

15.8 = (x2 + 21.6)/2

Multiply both sides by 2

2(15.8)= (x2 + 21.6)/2 × 2

31.6 = x2 + 21.6

Subtract both sides by 21.6

31.6 - 21.6 = x2 + 21.6 - 21.6

10 = x2

x2 = 10

Solve for y2:

-17 = (y2 + (-8.2))/2

Multiply both sides by 2

2(-17) = (y2 + (-8.2))/2 × 2

-34 = y2 + (-8.2)

-34 = y2 - 8.2

Add 8.2 to both sides

-34 + 8.2 = y2 - 8.2 + 8.2

-25.8 = y2

y2 = -25.8

The coordinates of the other endpoint, V is: B. (10, -25.8).

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Answer: B

Step-by-step explanation: edge2023

Answer:

24 for 2.99

Step-by-step explanation:

2.99/24 = $0.1245 per ounce
4.99/36  = $0.1386 per ounce

So the 36 cost more per ounce.

The line with vector form r(t) = (2,0) + t(3,-5) can be parametrized as r(t) = (2+3t, -5t), where t is a real number.

We are given a line with vector form r(t) = (2,0) + t(3,-5), which can also be written as:

x(t) = 2 + 3t

y(t) = -5t

To find the coordinate functions of the line parametrized by r(t) = (6t-1,9t+2), we can equate the x and y components of the two vector forms and solve for t.From the x-component:

2 + 3t = 6t - 1

4t = 3

t = 3/4

Substituting t = 3/4 into the y-component:

y(t) = -5t

y(3/4) = -5(3/4)

y(3/4) = -15/4

Thus, the coordinate functions of the line parametrized by r(t) = (6t-1,9t+2) are:

x(t) = 6t - 1

y(t) = 9t + 2.

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A line has vector form r(t) 2, 0) (3,-5) Find the coordinate functions. The coordinate functions of the line parametrized by r(t) = (6t - 1, 9t + 2) are:x(t) = 6t - 1  and y(t) = 9t + 2

The vector form of the line is given as r(t) = (2, 0) + t(3, -5).

To find the coordinate functions of the line, we can set up the equations:

x(t) = 2 + 3t

y(t) = -5t

Therefore, the coordinate functions of the line are:

x(t) = 2 + 3t

y(t) = -5t

For the line parametrized by r(t) = (6t - 1, 9t + 2), the x-coordinate of the line is simply x(t) = 6t - 1.

To find the y-coordinate, we can see that the direction vector of the line in vector form is (6, 9). The y-coordinate of the line can then be obtained by taking the dot product of this direction vector with the vector (0, 1) (which points in the y-direction).

So, y(t) = (6, 9) · (0, 1) · t + 2 = 9t + 2.

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The homogeneity of variance assumption in the independent measures t-test assumes that option (c) the variances of the two populations from which the samples are drawn are equal.

In mathematical terms, the t-test assumes that the two populations from which the samples are drawn have equal variances. The homogeneity of variance assumption is important because it affects the calculation of the t-statistic.

When the variances of the two populations are equal, the t-test uses a pooled estimate of the variance to calculate the standard error of the difference between the two sample means.

If the homogeneity of variance assumption is violated, meaning the variances of the two populations are not equal, the t-test may produce inaccurate results.

In this case, an alternative test such as Welch's t-test may be used. Welch's t-test does not assume equal variances and is therefore more robust when the homogeneity of variance assumption is violated.

Therefore, the right choice is option (c).

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The maximum value is 5 and the minimum value is -11.The maximum value is approximately 13.84 and the minimum value is -1040. The maximum value is approximately 0.8 and the minimum value is -0.333.

1. For f(x) = -2x - 1 over [-3, 5]:
  - Take the derivative of f(x) with respect to x: f'(x) = -2.
  - Set f'(x) equal to zero and solve for x: -2 = 0. There are no solutions, so there are no critical points.
  - Since the interval is finite, we evaluate f(x) at the endpoints:
    - f(-3) = -2(-3) - 1 = 5.
    - f(5) = -2(5) - 1 = -11.
  - Therefore, the maximum value is 5 and the minimum value is -11.

2. For f(x) = x³ - 4x + 10 over [-10, 10]:
  - Take the derivative of f(x) with respect to x: f'(x) = 3x² - 4.
  - Set f'(x) equal to zero and solve for x: 3x² - 4 = 0.
    - x = 2/√3 or x = -2/√3.
  - Since the interval is finite, we evaluate f(x) at the endpoints and critical points:
    - f(-10) = -10³ - 4(-10) + 10 = -1040.
    - f(-2/√3) ≈ 8.16.
    - f(2/√3) ≈ 13.84.
    - f(10) = 10³ - 4(10) + 10 = 960.
  - Therefore, the maximum value is approximately 13.84 and the minimum value is -1040.

3. For f(x) = x/(x^2 + 1) over [1, 4]:
  - Take the derivative of f(x) with respect to x: f'(x) = (x² + 1 - 2x²) / (x² + 1)².
  - Set f'(x) equal to zero and solve for x: (x²+ 1 - 2x²) / (x² + 1)² = 0.
    - x² + 1 - 2x² = 0.
    - -x² + 1 = 0.
    - x² = 1.
    - x = ±1.
  - Since the interval is finite, we evaluate f(x) at the endpoints and critical points:
    - f(1) = 1 / (1² + 1) ≈ 0.333.
    - f(-1) = -1 / (1² + 1) ≈ -0.333.
    - f(4) = 4 / (4² + 1) ≈ 0.8.
  - Therefore, the maximum value is approximately 0.8 and the minimum value is -0.333.

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Answer:

3

Step-by-step explanation:

y+3=-y+9

Move -y to the left and move +3 to the right and change the + into a -

y+y=-3+9

Calculate

2y=6

Divide both members by 2

y=3

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{ \: Rs \: 552.5}}}}}\)

Step-by-step explanation:

Given,

Discount percent = 15 %

Vat percent = 13 %

Discount amount = Rs 750

Vat amount = ?

Finding the Marked price ( MP )

\( \boxed{ \sf{Discount \: amount = \: discount\% \: of \: MP}}\)

⇒\( \sf{750 = 15\% \: of \: MP}\)

⇒\( \sf{750 = \frac{15}{100} \times MP }\)

⇒\( \sf{750 = \frac{3}{20} MP}\)

⇒\( \sf{ \frac{3}{20} MP = 750}\)

⇒\( \sf{MP = 750 \times \frac{20}{3} }\)

⇒\( \sf{MP = rs \: 5000}\)

Finding the selling price

\( \boxed{ \sf{Selling \: price = \: MP - \: discount \: amount}}\)

⇒\( \sf{5000 - 750}\)

⇒\( \sf{Rs \: 4250}\)

Finally, finding the Vat amount

\( \boxed{ \sf{Vat \: amount = Vat\% \: of \: selling \: price}}\)

⇒\( \sf{13\% \: of \: 4250}\)

⇒\( \sf{ Rs 552.5}\)

Vat amount = Rs 552.5

Hope I helped!

Best regards!!

We know that LM and NP are the same lengths (since they are opposite sides of the rectangle), so let's label them both as y:

d1^2 = (3x + 1)^2 + y^2

d2^2 = y^2 + (8x - 4)^2

To find the length of each diagonal of the rectangle LMNP, we can use the Pythagorean theorem, which states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the length of the longest side (the hypotenuse). Since a rectangle is a special case of a parallelogram, we know that its opposite sides are congruent, so LN = MP.

Let's label the diagonals as d1 and d2. Then, using the Pythagorean theorem, we have:

d1^2 = LN^2 + NP^2

d2^2 = LM^2 + MP^2

Since LN = MP, we can substitute 3x + 1 for LN and 8x - 4 for MP:

d1^2 = (3x + 1)^2 + NP^2

d2^2 = LM^2 + (8x - 4)^2

We know that LM and NP are the same lengths (since they are opposite sides of the rectangle), so let's label them both as y:

d1^2 = (3x + 1)^2 + y^2

d2^2 = y^2 + (8x - 4)^2

To find the values of x and y, we need more information. Without any additional information about the rectangle, we cannot solve for d1 and d2.

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Answer:

\(\frac{17}{4}\)

Step-by-step explanation:

Replace y with 3/2 and solve for x

2x + 3(3/2) = 13

2x + 9/2 = 13  Subtract 9/2 from both sides

2x = \(\frac{13}{1}\) - \(\frac{9}{2}\)

2x = \(\frac{26}{2}\) - \(\frac{9}{2}\)

2x = \(\frac{17}{2}\)  Divide both sides by 2

x = \(\frac{17}{2}\) ÷ \(\frac{2}{1}\)

x = \(\frac{17}{2}\) x \(\frac{1}{2}\)

x = \(\frac{17}{4}\) o r4 \(\frac{1}{4}\) or 4.25

Let's solve your equation step-by-step.

5 /3 x+  1 /3 x=  262 /3  + 7 /3  x

x=−262

Description:

The first step is to simplify the equation step by step and to simplify an equation you can first multiplying the factors and use the exponent rules to remove the parentheses. After that youneed to combine it a terms. Then you will get your answer.

Answer:  x=−262

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