An article is sold for Rs 4520 after allowing 20% discount on the marked price and adding 13% value added tax. What is the discount amount? Find it.​

In angle A we have supplementary angles, that is

130 + X = 180

X = 180 - 130

X = 50

From the properties of the angles of a triangle - refer to attached,

W = X + 105

as X = 50 - already calculated above, then

W = 50 + 105

Answer:

x=3

Step-by-step explanation:

13-1=12

12÷4=3

Answer:

hi the answer is C.71 inches, have a good day :)

Answer:

9. 254.83

10. 1/12

Step-by-step explanation:

9. You can add all three values together to get how much he started with:

14.35 + 148.43 + 92.05 = 254.83

10. You can make this easier by making sure these fractions have the same denominator (bottom number):

7/12 - (2/4 (x3))

7/12 - 6/12 = 1/12

These are your answers

Hope this helps!

Answer:

An explicit formula for the shipping cost is  = . The store charges $55 when shipping 11 items.

Step-by-step explanation:

An online store charges when shipping 11 boxes would be; 55 dollars

An arithmetic sequence is a sequence of integers with their adjacent terms differing with one common difference.

An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term, and the common difference.

Given that the online store charges $5 to ship one box and $10 to ship two boxes.

We have to write an explicit formula for an arithmetic sequence to represent the amount the online store pays to ship n boxes.

From what we know so far;

y = 5n

Now Using the explicit formula to determine how much the online store charges when shipping 11 items.

y = 5(11)

y = 55 dollars

Hence, A online store charges when shipping 11 boxes would be; 55 dollars

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The height of the water bottle should be approximately 25 inches if Jolie wants it to fit in her cup holder and have a volume of 99.34 in³.

To find the height of the water bottle, we can use the formula for the volume of a cylinder, which is V = πr²h, where r is the radius of the circular base and h is the height.

Since we know the maximum diameter of the water bottle cannot exceed 2.5 inches, we can find the maximum radius by dividing the diameter by 2, which gives us 1.25 inches.

Now, we can rearrange the volume formula to solve for the height:

h = V / (πr²)

Plugging in the given volume of 99.34 in³ and maximum radius of 1.25 inches, we get:

h = 99.34 / (π × 1.25²) ≈ 25.1

Rounding to the nearest whole number gives us a final answer of 25 inches.

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Answer:

-168

Step-by-step explanation:

8 × -7 × 3

-56 × 3

-168

The inequality that shows the possible amounts of totts is x ≤ 5 and x > 10

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

The number line

Using the number line as a guide, we have the following:

x ends at 5 (closed circle) and x starts from 10 (open circle)

When the above is interpreted, we have

x ≤ 5 and x > 10

A possible value of x is 11

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Answer:

-3

Step-by-step explanation:

All you have to do is graph it... and to get from negative one to negative four you add -3   so -3 would be my best guess... if this a multiple choice and -3 is not on there then do -4 as the answer.

Answer:

Step-by-step explanation:

The answers are shown below:

A reflection of a point over the y -axis is shown. The rule for a reflection over the y -axis is (x,y)→(−x,y) .

a)

Reflection over y- axis

A(-1, 2)

B(-3, 1)

C(-2, 4)

D(-1, 3)

b) Translation 2 units down

A(1, -4)

B(3, -3)

C(2, -6)

D(1, -5)

c) Reflection over x- axis

A(1, 2)

B(3, 1)

C(2, 4)

D(1, 3)

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Answer: x=35

Step-by-step explanation: hi! i’m happy to help. subtract the three from both sides, multiply the entire problem by 5 to even out the x, and there’s your answer :)

The x-intercept is when y=0, but since \(\log_{3}(x-4) \neq 0 \text{ } \forall x\), there is no x-intercept.

The asymptote is when the argument equals 0, which is at x=4.

Answer:

Step-by-step explanation:

If m and n are both 1 then

Minimum value = 10^(1+1) * 3^(1-1) * 225

= 325.

If m and n have to be different, then m = 2 and n = 1

Minimum value = 10^3 * 3^1 * 15^2

= 675,000.

Answer:

Step-by-step explanation:

The absolute value equations in the form x - b = c that have the given solution sets are as follows:

A. |x - 7.5| = 5.5

Explanation: To obtain the solutions x = 2 and x = 13, we set the expression x - b equal to the positive and negative values of c, respectively. Solving the equations x - b = 5.5 and x - b = -5.5 gives us x = 7.5 + 5.5 = 13 and x = 7.5 - 5.5 = 2, respectively.

B. |x - 23| = 0

Explanation: Since x = 23 is the only solution, we set the expression x - b equal to zero, resulting in the equation x - b = 0. Solving this equation gives us x = b = 23.

C. |x - (-1/6)| = 5/6

Explanation: By setting x - b equal to the positive and negative values of c, we obtain the equations x - b = 5/6 and x - b = -5/6. Solving these equations yields x = (-1/6) + (5/6) = 1/2 and x = (-1/6) - (5/6) = -1/3, which are the desired solutions.

D. |x - (-3)| = 0

Explanation: Since x = -3 is the only solution, we set the expression x - b equal to zero, resulting in the equation x - b = 0. Solving this equation gives us x = b = -3.

E. |x - (-4.1)| = 0

Explanation: Since x = -4.1 is the only solution, we set the expression x - b equal to zero, resulting in the equation x - b = 0. Solving this equation gives us x = b = -4.1.

F. x - 5 ≥ 0

Explanation: To represent all numbers greater than or equal to 5, we set the expression x - b greater than or equal to zero. Simplifying the inequality gives us x ≥ 5.

G. -(x - 5) ≥ 0

Explanation: To represent all numbers less than or equal to 5, we set the negation of the expression x - b greater than or equal to zero. Simplifying the inequality gives us -x + 5 ≥ 0.

H. -(x - (-14)) ≥ 0

Explanation: To represent all numbers less than or equal to -14, we set the negation of the expression x - b greater than or equal to zero. Simplifying the inequality gives us -x + 14 ≥ 0.

I. x - (-1.3) ≥ 0

Explanation: To represent all numbers greater than or equal to -1.3, we set the expression x - b greater than or equal to zero. Simplifying the inequality gives us x ≥ -1.3.

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By applying Pascal's triangle concept for the f(n) as per given condition the value f(2) is 1.

To find f(2),  calculate the sum of the elements in the second row of Pascal's triangle

and subtract the sum of all the elements from the previous rows.

Pascal's triangle is formed by starting with a row containing only 1

and then each subsequent row is constructed by adding the two numbers above it.

The first row of Pascal's triangle is simply 1.

The second row of Pascal's triangle is 1 1.

To calculate f(2),  sum the elements in the second row and subtract the sum of the elements in the previous rows.

Sum of elements in the second row = 1 + 1 = 2

Sum of elements in the first row = 1

This implies, f(2) = 2 - 1 = 1.

Therefore, using Pascal's triangle the value f(2) is equal to 1.

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Answer:

Step-by-step explanation:

Volume of cuboid = AC x CD x CG. (Cuboid formula is l x b x h)

Now, given, area of ABCD is 25.

Area of square = a² or AC x CD

Therefore, substituting that in the first line, we get,

25 x CG = volume,

or 25 x 12 = 300 cm³. (Given CG is 12cm)

This equation cannot be factorised, at least not easily. It would require decimals and that's not worth the time. Instead you can use the quadratic formula to solve for x, which works for any quadratic equation:

\(\frac{-b + or - \sqrt{b^{2} - 4ac} }{2a}\)

a being the x^2 coefficient

b the x coefficient

and c the constant

here a = 21

b = -55

c = -14

let's solve this one:

You can simply input this into a calculator to find the answer, or you can work it out mentally.

= 2.852740993

Now, since this is a quadratic we need to possible values of x. So we just redo the same formula, but this time with a negative square root:

\(\frac{-(-55) - \sqrt{(-55)^{2} - 4(21)(-14)} }{2(21)}\)

= -0.2336933736

You can round these answers however you like, but I would recommend doing to either 3 significant figures, either 2 or 3 decimal places.

Answer:

\(\displaystyle [7x - 2][3x - 7]\)

Step-by-step explanation:

Find two quantities that when summed to 55, they also multiply to 294. Those will be 6 and 49. The TINIER quantity gets the plus sign because the B-value is −55, therefore 49 gets the minus sign, leaving 6 with the plus sign. In extension, sinse we have a leading coefficient greater than one, we need to take extra procedures. Here is how it is done:

\(\displaystyle 21x^2 - 55x + 14 \\ \\ [21x^2 + 6x] - [49x + 14] \\ 3x[7x - 2] - 7[7x - 2] \\ \\ \boxed{[7x - 2][3x - 7]}\)

I am joyous to assist you at any time.

**For all you moderatours out there, this user made a typographical errour with the symbol of the C-value. It was supposed to be 14, not −14. BELIEVE ME.

Answer:

circle(50)

Step-by-step explanation:

The circle should have a diameter of 50 so the answer is simply "circle (50)"

Answer:

the third one down

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

Rising, there are 5 squares. Running, there are 2 squares. The line is rising left to right, so the slope is positive.

The probability that a sample will contain 2 or fewer nonconforming units, using the Poisson distribution with an average of 1.6, is approximately 0.602.

To calculate the probability that a sample will contain 2 or fewer nonconforming units, we can use the Poisson distribution. The Poisson distribution is commonly used to model the probability of rare events occurring over a fixed interval or in a given sample.

The formula for the Poisson distribution is:

P(X = k) = (e^(-λ) * λ^k) / k!

where λ is the average number of

units.

In this case, the average number of nonconforming units is 1.6. We want to find the probability of having 2 or fewer nonconforming units, which means we need to calculate:

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

Using the Poisson distribution formula, we can substitute the values:

P(X ≤ 2) = (e^(-1.6) * 1.6^0) / 0! + (e^(-1.6) * 1.6^1) / 1! + (e^(-1.6) * 1.6^2) / 2!

Calculating this expression, we find:

P(X ≤ 2) ≈ 0.602

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1.

For the vertex (-3, 2) and focus (1, 2):

a. Find the value of p, which is the distance between the vertex and focus:

   p = |-3 - 1| = 4

b. Use the value of p to determine the equation of the parabola:

    The equation is y² = 4p(x - h), where h is the x-coordinate of the vertex:

    Substitute the values: y² = 4(4)(x + 3)

    Simplify: y² = 16(x + 3)

c. The equation of the parabola is y² = 16(x + 3).

2.

For the vertex (4, -2) and focus (-2, 0):

a. Find the value of p, which is the distance between the vertex and focus:

   p = |-2 - 4| = 6

b. Use the value of p to determine the equation of the parabola:

   The equation is y² = 4p(x - h), where h is the x-coordinate of the vertex:

    Substitute the values: y² = 4(6)(x - 4)

    Simplify: y² = 24(x - 4)

c.   The equation of the parabola is y² = 24(x - 4).

3.

For the vertex (2, 2), latus rectum 12, opens to the right:

a. Find the value of 4a, which is the length of the latus rectum:

   4a = 12

   a = 12/4 = 3

b. Use the value of a and the vertex coordinates to determine the equation of the parabola:

    The equation is (y - k)² = 4a(x - h), where (h, k) are the vertex coordinates:

     Substitute the values: (y - 2)² = 4(3)(x - 2)

     Simplify: (y - 2)² = 12(x - 2)

c. The equation of the parabola is (y - 2)² = 12(x - 2).

The equation of the parabola for the first case is y² = 16(x + 3).

The equation of the parabola for the second case is y² = 24(x - 4).

The equation of the parabola for the third case is (y - 2)² = 12(x - 2).

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1. Analytics is important to business in today's society because of the following reasons 2. I use analytics on a regular basis in my personal and professional life. 3.  To become an advocate for analytics in business, an individual must do the following Become an Expert, Share Your Insights. 4. To improve one's analytical mindset, the following areas must be worked upon, Data Gathering, Analysis, Visualization, Communication.

Increased Efficiency:

Analytics are used to identify areas of waste and inefficiency, allowing companies to improve processes, save money, and become more productive.

Customer Intelligence:

Analytics can assist businesses in gaining a deeper understanding of their clients and what they need. This information can be used to develop new goods, improve current ones, and create targeted marketing campaigns.

Operations Management:

Businesses may utilise analytics to keep track of production and inventory levels, as well as forecast demand and identify areas for improvement. This can help businesses reduce waste, lower costs, and improve efficiency.

Risk Management:

Analytics can assist companies in identifying potential risks and developing strategies to mitigate them.

2. I use analytics on a regular basis in my personal and professional life. To better understand customers and forecast trends, I utilise data analytics in my job as a digital marketing professional. I track engagement, conversions, and other metrics to determine how our marketing campaigns are doing and how we can improve them.In my personal life, I use analytics to monitor my physical fitness. I monitor my calorie intake, exercise routine, and sleep patterns to better understand my health and make informed decisions about how to stay healthy.

3.  To become an advocate for analytics in business, an individual must do the following:

Become an Expert:

To persuade others about the importance of analytics, you must first understand it thoroughly. Take courses, read books and articles, and work on analytics tasks.Build a Network: Build a network of like-minded people who share your interests in analytics. Attend conferences, join discussion groups, and follow industry experts.

Share Your Insights:

Share your findings with others in your organisation. You can use analytics to discover opportunities for growth or to mitigate risks.

4. To improve one's analytical mindset, the following areas must be worked upon:

Data Gathering: Make sure that you have access to high-quality data that is relevant to your work.

Analysis:

Develop analytical skills that will allow you to turn raw data into actionable insights

Visualization:

Create visualisations that communicate complex data in an easy-to-understand format.

Communication:

Be able to present your findings in a way that is easy for others to understand.

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Answer:

ehhhh it's either 5or 1.59 I'm not sure Wich

Step-by-step explanation:

sorry good luck

Answer:

Step-by-step explanation:

Let the price for children and adults package be represented with x and y respectively.

For the first week the sum of the package will be as follows:

3x+8y = 126

For the two weeks after:

6x+4y= 108

So, we will be having two equations

3x+8y = 126..... (1)

6x+4y= 108.......(2)

These are simultaneous equations

From equation 1

3x+8y = 126

3x = 126-8y

X = 126-8y/3 ............. (3)

Put equation 3 into 2

6 ( 126-8y)/3 +4y = 108

756-48y/3 +4y = 108

756-48y+12y/3 = 108

Cross multiplying

756-48y+12y= 108×3

756-48y+ 12y = 324

Collecting like terms

756-324 = 48y-12y

432= 36y

Divide both sides by 36

432/36 = 36y/36

y= 12

Substituting y into equation 1

3x+8= 126

3x+96=126

3x= 126-96

3x= 30

Divide both sides by 3

3x/3 = 30/3

x = 10

Hence for each of the packages for children and adults. It will be 10 and 12 respectively.

Answer:

It will take Kyle 10 months to have at least as much money as John. At 10 months both will have 600$

Step-by-step explanation:

John has $200 in his bank account. He saves $40 of his allowance each month. Therefore:

John = 40n+200

Where n is the number of months.

Kyle has $100 in his bank account but he is saving $50 each month.  Therefore:

Kyle = 50n+100

To see how much until they are equal or in other words, does Kyle have at least as much money as John has, we make equations equal.

40n+200=50n+100

200=10n+100

100=10n

10=n

Thus, we see that it will take 10 months for Kyle to have at least as much money as John has. We can quickly test this:

John:

John = 40n+200

John = 40(10)+200

John = 600$

Kyle:

Kyle = 50n+100

Kyle = 50(10)+100

Kyle = 600$

Thus, we see that it will take 10 months for Kyle to have at least as much money as John has.

Answer:

I'm pretty sure 1 is verticle and 2 is complimentary

Step-by-step explanation:

The integers {6, 10} satisfies the inequality.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given set of integers are {−3, 3, 6, 10}

Inequaltiy is  2(j − 7) > 2(5 − 3j)

Let us simplify the inequality

2j-14>10-6j

2j+6j>10+14

8j>24

j>3

It means that numbers greater than 3 will satisfy the given inequality.

Numbers greater than 3 in the given set are 6,10.

Hence, the integers {6, 10} satisfies the inequality.

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Answer:

6/10 {6, 10}

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's solve for x.

−3x+8y=73

Step 1: Add -8y to both sides.

−3x+8y+−8y=73+−8y

−3x=−8y+73

Step 2: Divide both sides by -3.

−3x

−3

=

−8y+73

−3

x=

8

3

y+

−73

3

Answer:

x=

8

3

y+

−73

3

x−7y=−46

Step 1: Add 7y to both sides.

x−7y+7y=−46+7y

x=7y−46

Answer:

x=7y−46

When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.

In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.

On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.

When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.

Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.

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