Find the Interpret the mean absolute deviation of the data 1/4,5/8,3/8,3/4,1/2

Answer:

x = -1

Step-by-step explanation:

Because the line passes through two points that both have the same x value, this means the line is vertical, and the slope is undefined.

So the equation of the line is x = -1.

The compound amount after 3 years is $2275.22.

In this case, you are given:

Principle = $2,000

rate = 0.0353

time = 3

You need to find A, the compound amount after 3 years.

To do this, you need to plug in the values of P, r and t into the formula and use a calculator:

A=P×e^rt

A=2000×(e)^0.0353×3

A≈2275.22

Therefore, by the compound interest the answer will be $2275.22.

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Answer:

3.6

Step-by-step explanation:

15 divide by 100 x 24

Answer:

27 Nickels

Step-by-step explanation:

Divide 1.35 by 0.05

= 27

Using divisibility concepts, a counterexample to the statement is given by option the number 42, option D.

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The present value (PV) of the investment today is approximately $2,965.05.

To find the present value (PV) of the investment today, we need to calculate the present value of each individual contribution and then sum them up. We can use the formula for the present value of an annuity to do this calculation.

The formula for the present value of an annuity is given by:

PV = C * [(1 - (1 + r)^(-n)) / r]

Where:

PV = Present Value

C = Cash flow per period

r = Interest rate per period

n = Number of periods

In this case, the cash flow per period (C) is $500, the interest rate per period (r) is 10.5% (or 0.105), and the number of periods (n) is 20 years.

Let's plug in these values into the formula and calculate the present value (PV):

PV = $500 * [(1 - (1 + 0.105)^(-20)) / 0.105]

Using a calculator, we can evaluate the expression inside the brackets:

PV = $500 * [(1 - 0.376889) / 0.105]

Simplifying further:

PV = $500 * [0.623111 / 0.105]

PV = $500 * 5.930105

PV = $2,965.05

Therefore, the present value (PV) of the investment today is approximately $2,965.05.

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Answer:

  a) the x-coordinate changes sign

  b) the y-coordinates are unchanged

  c) this is a reflection across the y-axis

Step-by-step explanation:

Each image point is on the same horizontal line as the original. It is as far from the y-axis as the original, but in the opposite direction. Its x-coordinate has changed sign.

__

The y-coordinate is the same for each image point as for the original. The y-coordinates have not changed.

__

The line of reflection is the perpendicular bisector of the segment joining the original point and its image. In every case, that is the y-axis. The image is a reflection across the y-axis.

Answer:

1/3

Step-by-step explanation:

Probability 2/6 = 1/3

Answer - 1/3

Probability is 1/3

So, the most precise classification of quadrilateral LMNP is a kite.

In mathematics, an equation is a statement that two mathematical expressions are equal. It typically contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the values of the variables that make the equation true. Equations are used in many areas of mathematics, science, and engineering to model relationships between quantities and to solve problems.

Here,

To classify the quadrilateral LMNP, we need to calculate the length of all four sides using the distance formula and then use those values to determine the shape of the quadrilateral.

The distance formula is given by:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using this formula, we can calculate the length of each side of the quadrilateral as follows:

LM = √[(4 - (-1))² + (9 - 7)²] = √[5² + 2²] = √29

MN = √[(8 - 4)² + (-1 - 9)²] = √[4² + (-10)²] = √116

NP = √[(3 - 8)² + (-3 - (-1))²] = √[(-5)² + (-2)²] = √29

PL = √[(-1 - 3)² + (7 - (-3))²] = √[(-4)² + 10²] = √116

Now, we can use the values we have calculated to determine the shape of the quadrilateral. We can see that LM = NP and MN = PL, which means that opposite sides are congruent. Also, LM and MN are not equal to PL and NP, which means that opposite sides are not parallel. Therefore, LMNP is a kite.

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Answer:

1) 5m

2) 0.25tan

Step-by-step explanation:

Answer: The Ferris wheel’s speed in feet per hour.

Step-by-step explanation:

When lines a and b overlap, angle 1 equals angle 3.

The intersection of two lines in Euclidean geometry might be the empty set, a point, or another line. Distinguishing these circumstances and locating the intersection have applications in computer graphics, motion planning, and collision detection, among others. When two or more lines intersect on a plane, they are referred to as intersecting lines. The crossing lines have a common point, which exists on all of them and is known as the point of intersection. The intersecting lines are two lines that have precisely one common point. The crossing lines have a point in common. The point of intersection is the common point that exists on all intersecting lines.

Here,

To prove ∠1 ≅ ∠ 3, we can use the congruent supplements theorem. According to the congruent supplements theorem, If two angles are supplements of the same angle then two angles are congruent.

Line a and line b intersect                                         (given)

∠3 is supplementary to ∠2 because of linear pair theorem (given)

So, if we take ∠2 as the common angle

And  ∠1 is supplementary to ∠2  by linear pair theorem     ( option D)

Then, ∠1 is supplementary to ∠2 which is supplementary to ∠3

Therefore, ∠1 ≅ ∠3 (according to the congruent supplements theorem)

This is proved when line a and line b intersect, angle 1=angle 3.

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Answer:

11.34

Step-by-step explanation:

11.34

Answer and Step-by-step explanation:

Both of these questions equal the same thing.

For example, typically in a normal math situation, a number like this: 4.5 would be bigger than the number 4.10.

When looking at a decimal, first you should look at the ones place, which (going back to the real problem) would be the 11 in both questions. But, both of the whole numbers are the same, so this doesn't work.

Instead, we will look at the tenths placement, which would be the 3 behind the decimal. Still, they are the same. So, we will try the hundredths placement, which is the 4 in this problem. Still, no.

Now we check the thousandths placement. In 11.340, we have a zero, but in 11.34, it appears that we don't have one. But, anytime that you don't see a number after a certain point in the decimal (like the 11.34 in this problem) there is an invisible zero there that you can add if necessary.

So, 11.34 is equal to 11.340.

11.340 = 11.340.

I hope that this helps.

Answer:

4.2.1)  R140 000

4.2.2)  R144 758.28

4.2.3)  Option 2

Step-by-step explanation:

To calculate the return on Ayanda's investment using Option 1, we can use the simple interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I =Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000 \cdot 0.12 \cdot 6\)

\(I=24000 \cdot 6\)

\(I=144000\)

Therefore, the return on Ayanda's investment using Option 1 is R144000.

\(\hrulefill\)

To calculate the return on Ayanda's investment using Option 2, we can use the compound interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ I=P\left(1+r\right)^{t}-P$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000(1+0.095)^6-200000\)

\(I=200000(1.095)^6-200000\)

\(I=200000(1.72379142...)-200000\)

\(I=344758.28426...-200000\)

\(I=144758.28426...\)

\(I=144758.28\)

Therefore, the return on Ayanda's investment using Option 2 is R144758.28.

\(\hrulefill\)

Comparing the returns from both options, we find that Option 1 offers a return of R144000, while Option 2 offers a return of R144758.28. As R144758.28 > R144000, then Option 2 will render the most money for Ayanda's investment.

The balance in the savings account after three years would be $5,705.79 if an initial deposit of $5,000 is made into a savings account with an annual interest rate of 5% compounded quarterly.

Compound interest formula can be used to determine the balance in an account after a certain period of time.

The formula used to calculate compound interest is as follows;  A = P(1 + r/n)^nt  Where;  A represents the final amount, P represents the initial amount invested, r represents the annual interest rate, t represents the number of years invested, and n represents the number of times the interest is compounded per year.

Assuming that an initial deposit of $5,000 is made into a savings account with an annual interest rate of 5% compounded quarterly for three years, we can use the compound interest formula to compute the balance in the account at the end of three years. The first step is to calculate the quarterly interest rate. This can be done by dividing the annual interest rate by 4 since there are four quarters in a year. Hence, the quarterly interest rate would be;  

r = 5% / 4r = 0.0125

Next, we calculate the total number of compounding periods (n) for three years if the interest is compounded quarterly. Since there are four quarters in a year, the number of compounding periods would be; n = 4 x 3n = 12

Substituting the values obtained into the compound interest formula, we have;

A = P(1 + r/n)^ntA = $5,000(1 + 0.0125/12)^(12 x 3)A = $5,705.79.

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Multiply 15 and 6.8. So speed * time = distance

So the answer is 102

Answer:

\(y=\frac{3}{2} x+0\)

Step-by-step explanation:

points on the line are:-

\((0,0) and(2,3)\)

\(m=\frac{3-0}{2-0} =\frac{3}{2}\)

\(y=mx+b\)

\(y=\frac{3}{2} x+b\)

\(0=\frac{3}{2}(0)+b\)

\(0=b\)

so...

\(y=\frac{3}{2} x+0\)

\(---------\)

hope it helps...

have a great day!!

the second option is the correct answer.

that is,

Adjacent Agles that form a linear angles are supplimentary.

in other words,

if two angles form a linear pair, the angles are supplementary.

so from the digram given, Angle 1 and Angle 2 form linear pair.

Designing an easy do-it-yourself compost bin:

Drawing and Description:

The compost bin can be a simple structure made of wood or wire mesh. It consists of four sides, a bottom, and a removable lid. The sides and bottom are connected securely to form a rectangular shape, while the lid allows for easy access to the contents inside.

The bin can be placed directly on the ground or on a solid surface, depending on personal preference.

Materials Used:

Wood or wire mesh (depending on preference)

Nails or screws to assemble the structure

Size of the Bin:

The size of the bin can vary based on the available space and the amount of compostable materials you generate. A suitable size for a home compost bin could be approximately 3 feet wide, 3 feet deep, and 3 feet tall.

Substances Used to Fill It:

To fill the compost bin, you would need a mix of "green" and "brown" materials. "Green" materials include fruit and vegetable scraps, coffee grounds, tea leaves, grass clippings, and plant trimmings. "Brown" materials consist of dry leaves, shredded newspaper, cardboard, and small twigs.

Household Items That Can Go in It:

You can add a variety of household items to the compost bin, such as fruit and vegetable peels, eggshells, coffee grounds, tea bags, yard waste (leaves, grass clippings, plant trimmings), shredded paper, cardboard, and natural fibers (like cotton or wool scraps).

Time for Compost to Be Ready:

The time it takes for the compost to be ready varies depending on factors like temperature, moisture, and the type of materials used. Generally, it takes about 2 to 6 months for compost to fully decompose and become ready to use.

Using the Compost:

Once the compost has broken down into a dark, crumbly, and earthy material, it is ready to use. You can spread it in your garden beds or pots as a nutrient-rich soil amendment. It improves soil structure, retains moisture, and provides essential nutrients for plants' growth.

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The GDP at FC from the following data: GDP at MP = Rs. 2,000 billion Indirect taxes = Rs. 300 billion Subsidies = Rs. 100 billion​ is: Rs. 1,800 billion.

Using this formula to determine the GDP at FC

GDP at FC = GDP at MP - Indirect taxes + Subsidies

Where:

GDP at MP (Market Price) = Rs. 2,000 billion

Indirect taxes = Rs. 300 billion

Subsidies = Rs. 100 billion

Let plug in the formula

GDP at FC = 2,000 billion - 300 billion + 100 billion

GDP at FC = 1,800 billion

Therefore the GDP at factor cost (FC) is Rs. 1,800 billion.

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Answer:

m = -2

b = 3.5 or (0, 3.5)

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y − 3.5 = −2x

y = -2x + 3.5

    m = -2

    b = 3.5

The slope of given equation is -2 and the y-intercept is 3.5.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The given equation is y-3.5=-2x.

Now, in slope intercept form y=-2x+3.5

The standard form of the slope intercept form is y=mx+c.

Where, m=slope and c=y-intercept

Now, m=-2 and c=3.5

Therefore, the slope of given equation is -2 and the y-intercept is 3.5.

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The system of linear equations and their solutions are:

1. (51, 26):  x - y = 25; 2x + 3y = 180

2. (-17, -36): x - y = 19; -2x + y/6 = 28

3. (47, 33): 2x - 3y = -5; x + y/11 = 50

4. (-31, -56): 2x - y = -6; x - 305/3 = 2y.

We can solve a system using the substitution method by finding the value of one of the variables, followed by substitution.

1. x - y = 25 -- eqn. 1

2x + 3y = 180 -- eqn. 2

Rewrite eqn. 1:

x = 25 + y

Substitute x = 25 + y into eqn. 2:

2(25 + y) + 3y = 180

50 + 2y + 3y = 180

5y = 180 - 50

5y = 130

y = 26

Substitute y = 26 into eqn. 1:

x - 26 = 25

x = 25 + 26

x = 51

The solution is: (51, 26).

2. x - y = 19 -- eqn. 1

-2x + y/6 = 28 -- eqn. 2

Rewrite eqn. 1:

x - y = 19

x = 19 + y

Substitute x = 19 + y into eqn. 2:

-2(19 + y) + y/6 = 28

-38 - 2y + y/6 = 28

-11y/6 = 28 + 38

-11y/6 = 66

-11y/6 (-6/11)= 66(-6/11)

y = -36

Substitute y = 36 into eqn. 1:

x - y = 19

x - (-36) = 19

x + 36 = 19

x = 19 - 36

x = -17

The solution is: (-17, -36).

3. 2x - 3y = -5 -- eqn. 1

x + y/11 = 50 -- eqn. 2

x + y/11 = 50

x = 50 - y/11

Substitute x = 50 - y/11 into eqn. 1

2(50 - y/11) - 3y = -5

100 - 2y/11 - 3y = -5

-35y/11 = -5 - 100

-35y/11 = -105

-35y/11(-11/35) = -105(-11/35) (multiplication property)

y = 33

Substitute y = 33 into eqn. 2:

x + 33/11 = 50

x + 3 = 50

x + 3 - 3 = 50 - 3

x = 47

The solution is (47, 33).

4. Solving the last one, we will definitely have the solution, (-31, -56).

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Answer:

\(16x^6y^3\)

Step-by-step explanation:

Given the expression, \((16x^8y^4)^{3/4}\\\\\), we are to simplify the expression

\((16x^8y^4)^{3/4}\\\\= 16x^{8*3/4}y^{4*3/4}\\\\= 16x^{24/4}y^{12/4}\\\\= 16x^6y^3\)

Hence the simplified form of the expression is \(16x^6y^3\)

Given the function :

We will find the correct option using the intercepts

X - intercept is the value of x when y = 0

So, when y = 0

Y - intercept is the value of y when x = 0

So, when x = 0

So, the graph if the line must pass through the points :

( 6 , 0 ) and ( 0 , -3 )

We will check the graphs to find the correct option

So, the last graph

Which is as the following :

The value of the missing side lengths x and y are 5√2 and 5 respectively.

The figure in the image is a right triangle.

Angle θ = 45 degree

Hypotenuse = x

Opposite to angle θ = y

Adjacent to angle θ = 5

To solve for side x and side y, we use the trigonometric ratio.

Note that:

Cosine = adjacent / hypotenuse

tangent = opposite / adjacent

Solving for x:

Cosine = adjacent / hypotenuse

Plug in the values

cos( 45 ) = 5/x

x = 5 / cos( 45 )

x = 5√2

Solving for side y:

tangent = opposite / adjacent

Plug in the values

tan( 45 ) = y/5

y = tan( 45 ) × 5

y = 5

Therefore, the value of side length x is 5 units.

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Answer: 3/10, 1/3, 8/9, 4/5

The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.

To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.

First, let's find the interest amount:

Interest = Principal x Interest Rate x Time

Given:

Principal = $4650

Interest Rate = 2% per year

Time = 2 months

Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.

Interest = $4650 x 0.02 x (1/6) = $15.50

Now, we can calculate the total principal and interest payment:

Total Payment = Principal + Interest

Total Payment = $4650 + $15.50 = $4665.50

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1.1.1 To convert from g to kg: 1000g are equal to 1kg:

1.1.2. As the recipe is for serving 2 people and Jane needs to make it for 5 people:

Use the next to find how many kg of tomatoes be needed:

1.1.3 To convert mL into L: 1000mL are equal to 1L

1.1.4 r=7cm h=5cm

1 square centimeter is equal to 1 mL, or equal to 0.001L

1.2.1.

1.2.2

1.2.3

1.2.4

1.3.1

1.3.2

Answer:

Y is 90 degrees.

Step-by-step explanation:

This is an equalterial triangle which means all of the angles are the same.  The angle for the upper part of the triangle is 60 as well. We can do 2x=60 because they add up to the angle which is 60. This gives us x=30. If x=30 and the other angle is 60, then the other angle has to be 90 because all triangle has an angle sum of 180. So 30 +60 + 90= 180. Hope this helps!

Answer:

y=90 degrees.

Step-by-step explanation:

Answer:

the answer is false

Step-by-step explanation:

comment if you want explanation

Answer:

True

Step-by-step explanation:

When using the formulas to find the surface area, both have equal surface area