(The area of an equilateral triangular plot of land is 25/3 m². If the land has to enclose by a galvanized zinc wire 5 times, how long wire is required?​

Answer: The last option. X is greater than or equal to -3

Step-by-step explanation:

If you are searching for all of the values highlighted in red, then it must be every single value greater than x=-3 including the value itself (the dot located on the value is shaded, therefore you must include it within the domain).

The surface area of the rectangular prism with dimensions of 5 cm, 4 cm, and 6 cm is 148 square centimeters.

What is surface area ?

Surface area is the measure of the total area that the surface of a three-dimensional object covers. It is the sum of the areas of all the faces or surfaces of the object. The surface area is a physical property of an object and is expressed in square units, such as square centimeters or square meters.

The figure you are referring to is a rectangular prism with dimensions of length 5 cm, width 4 cm, and height 6 cm. To find the surface area of a rectangular prism, we need to find the areas of all six faces and add them up.

The formula for the surface area of a rectangular prism is:

Surface Area = 2lw + 2lh + 2wh

where l, w, and h are the dimensions of the rectangular prism.

Substituting the given values into the formula, we get:

Surface Area = 2(5 x 4) + 2(5 x 6) + 2(4 x 6)

Surface Area = 40 + 60 + 48

Surface Area = 148

Therefore, the surface area of the rectangular prism with dimensions of 5 cm, 4 cm, and 6 cm is 148 square centimeters.

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Answer: To divide fractions, you have to multiply by the reciprocal.

Step-by-step explanation:

Brandon's monthly "take-home salary" is $[tex]5,000[/tex] as a result as split his yearly take-home pay of $[tex]60,000[/tex] by 12 months.

Finding the value or quantity of a single unit of a given value or quantity and utilizing that information to find the value or quantity of the required number of units is known as the unitary method .The unitary technique, in other words, entails determining the value of one unit of a given quantity or value and then utilising that value to determine the value of any number of units. If an apple costs $2, for instance, you may use the unitary technique to calculate the price of five apples by multiplying the price of one apple by five.

Given,

To determine Brandon's monthly take-home pay, split his yearly take-home pay of $[tex]60,000[/tex] by [tex]12[/tex] months:

$[tex]60,000[/tex] ÷ [tex]12[/tex] = $[tex]5,000[/tex]

Brandon's monthly "take-home salary" is $[tex]5,000[/tex] as a result as split his yearly take-home pay of $[tex]60,000[/tex] by [tex]12[/tex] months.

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The expression used to find the total amount that the trader will get is 90x + 120y + N

To determine the total revenue, find the cost of 'x' pencils, and y pens. Now add the cost of three items and form an expression that  we can use to calculate the total amount got by the trader:

Here we have

A trader sells x pencils at 90 each,

y pens at 120 each and 5 erasers at N each  

Hence,

Cost of 'x' pencils = 90 × x = 90x

Cost of y pens = 120 × y = 120y

Cost of 5 erasers = 5N

Thus, the total amount that the trader will get = 90x + 120y + N

Therefore,

The expression that is used to find the total amount that the trader will get is 90x + 120y + N

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The area of the regular decagon is 325 square units

The formula for the area of a regular polygon is given by

Area (A) = [number of sides (n) * length of side (l) * apothem (a)] /2

Apothem Formula is given by:

For the decagon, n = 10 (10 sides) and a = 10

a = l / 2tan(180/n)°

10 = l / 2tan(180/10)°

10 = l / 2 tan18°

l = 10 * 2 * tan18°

l = 6.50 units

Finding Area:

A = [number of sides (n) * length of side (l) * apothem (a)] /2

A = (10 * 6.50 * 10)/2

A = 325 square units

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Answer:

1. Liam's initial deposit was $2694.74 and Grace's initial deposit was $1894.74. 2. The system of equations that could be used to find their initial deposits is: I = g + 800, 0.009I = 0.011g

Step-by-step explanation:

Let's first use the formula for simple interest to find the interest earned by Liam and Grace after one year:

Interest earned by Liam = I x 0.009

Interest earned by Grace = g x 0.011

We also know that both Liam and Grace earn the same amount of interest after one year, so:

I x 0.009 = g x 0.011

We also know that Liam's initial deposit was $800 more than Grace's, so:

I = g + 800

Now we can substitute I in the first equation:

(g + 800) x 0.009 = g x 0.011

Simplifying and rearranging:

0.0072g + 7.2 = 0.011g

0.0038g = 7.2

g = 1894.74

Now we can find I:

I = g + 800

I = 1894.74 + 800

I = 2694.74

Therefore, Liam's initial deposit was $2694.74 and Grace's initial deposit was $1894.74.

The system of equations that could be used to find their initial deposits is:

I = g + 800

0.009I = 0.011g

Hope this helps! If you need more help, ask me! :]

Sorry if it's wrong.

Answer:

25% =1+(25/100)=1,25

15% = 1+(15/100)=1,15

increase coefficient 1,25*1,15=1,4375

percentage did the total number of students on the honor roll increase :

(1,4375-1)*100=43,75%

Step-by-step explanation:

Step-by-step explanation:

that means the probability that one customer is buying the most expensive car is

0.04 (= 4%)

that means the probability that the customer is not buying the most expensive car is

1 - 0.04 = 0.96

the probability of 2 out of 5 buying it and 3 not is

0.04×0.04×0.96×0.96×0.96 = 0.0014155776

now, this probability applies to every combination of 2 out of 5 :

C(5, 2) = 5!/(2! × (5-2)!) = 5!/(2! × 3!) = 5×4/2 = 5×2 = 10

so, the general probability that 2 out of the 5 customers will buy the most expensive cars is

10 × 0.04²×0.96³ = 0.014155776

Answer:

6 days

Step-by-step explanation:

144/24(hours in a day)=6

Answer:

Step-by-step explanation:

6 Days are equal to 144 hours. Thus, option A is the answer.

We know that there are 24 hours in a day so,

when 144 hours are divided by 24 hours.

It will be 6 Days.

144/24 = 6

Therefore, 6 Days are the answer.

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Answer:

120, because YXS is 120, or XST is 120.

The parent functional, f(x) = log(x), underwent a horizontal and vertical shifting to produce the chart of g(x) = log(-2x-4) + 2.

The simplest code that nonetheless complies with a special variety of function's definition is a parental function. For instance, y = x would be the parent function when analyzing the linear functions that make a family of functions. The most basic linear function is this one.

A group of functions with study will be able are referred to as a family of functions. The family equation with the basic form serves as the parent functional.

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After answering the presented question, we can conclude that As a function result, f(x) = [tex]x^4 - 2x^3 + 37x^2 - 72x + 36[/tex] is the polynomial with real coefficients of degree 4 and zeros 1 (multiplicity 2) and 6i.

Mathematicians research numbers and their variants, equations or related structures, structures and their locations, and prospective locations for these things. The noun "function" describes the connection that exists among a set of inputs, each of which has a corresponding output. A function is an input-output connection where each input results in a single, separate output. A domain, codomain, or scope is assigned to each function. Functions are usually denoted by the letter f. (x). An x is used for entry. On functions, one-to-one skills, multiple capabilities, in skills, and on functions are the four major types of accessible functions.  

If a polynomial has a multiplicity 2 root, it can be factored as the product of two linear factors, each containing that root once. In this situation, the factorization of f(x) is:

(x - 1)2 (x - 6i) (x + 6i) f(x)

Where z = a + bi, z* = a - bi.

[tex](x - 1)2 (x - 6i) (x + 6i) = f(x) (x - 1)\\a^2 ((x - 6i)(x + 6i))\s= (x - 1) (x - 1)\\a^2 (x^2 - (6i)^2)\s= (x - 1)^2 (x^2 + 36)\\[/tex]

Extending this expression yields:

f(x) = x4 minus 2x3 + 37x2 minus 72x + 36

As a result, f(x) = [tex]x^4 - 2x^3 + 37x^2 - 72x + 36[/tex] is the polynomial with real coefficients of degree 4 and zeros 1 (multiplicity 2) and 6i.

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Answer:

where A is the balance, P is the principal, r is the annual interest rate,

n is the number of times the interest is compounded per year, and t is the

number of years.

A = 3000(1 + 0.03/1)^(1*4) = $3,370.59

Therefore, the balance after 4 years is $3,370.59.

2.         Using the compound interest formula: A = P(1 + r/n)^(n*t)

where A is the balance, P is the principal, r is the annual interest rate,

n is the number of times the interest is compounded per year, and t is the

number of years.

r = 7% per year, compounded semi-annually

n = 2 (twice a year)

t = 25 years

A = 2000(1 + 0.07/2)^(2*25) = $19,077.23

Therefore, the balance after 25 years is $19,077.23.

3.                After the first year, the tractor will be worth:

$14,340 - 0.15*$14,340 = $12,189

After the second year:

$12,189 - 0.15*$12,189 = $10,361.65

After the third year:

$10,361.65 - 0.15*$10,361.65 = $8,807.40

Therefore, the tractor will be worth $8,807.40 after 3 years.

Answer:

y-1>2

y<2-1 (group like terms, and change the sign)

y<1

Both the volume of soft drinks in cans and the diameter of bolts immediately after manufacture is likely to follow a normal distribution.

What is the normal distribution?

A normal distribution is a type of continuous probability distribution in which most data points cluster toward the middle of the range, while the rest taper off symmetrically toward either extreme. The middle of the range is also known as the mean of the distribution.

a) The volume of soft drinks in cans is likely to follow a normal distribution because it is produced using a standardized manufacturing process.

This process is designed to ensure that each can has the same volume of liquid, within a certain tolerance level.

The manufacturing process typically involves using machines to fill and seal the cans, which reduces the likelihood of any significant variation in volume.

Additionally, the volume of soft drinks in cans can be expected to follow a normal distribution due to the central limit theorem, which states that the distribution of sample means from a population with any distribution tends to be normal as the sample size increases.

b) The diameter of bolts immediately after manufacture is likely to follow a normal distribution because it is a measurement that can be precisely controlled during the manufacturing process.

The process typically involves using machines that are calibrated to produce bolts with a specific diameter.

Any variation in diameter that occurs is likely to be small and random, due to factors such as machine error or natural variation in the raw materials used to produce the bolts.

Additionally, the diameter of bolts can be expected to follow a normal distribution due to the central limit theorem, which states that the distribution of sample means from a population with any distribution tends to be normal as the sample size increases.

Hence, both the volume of soft drinks in cans and the diameter of bolts immediately after manufacture are likely to follow a normal distribution.

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The answer of the given question based on the  Zanele realize that the questionnaire is not suitable the reasons are given below,

Data is  collection of information or facts that are organized in  structured or unstructured form. It can be in various forms, like numbers, text, images, audio, and video.

There could be several reasons why the given questionnaire is not suitable for Zanele's needs, but here are two possible reasons:

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Answer:

Step-by-step explanation:

x=8 dummy

the .125 is rejected because its not a whole number

To determine the price that the manufacturer should charge for each item to have a weekly revenue of $1,500, we first need to understand the relationship between the number of items sold, the price per item, and the revenue.

The revenue, R, can be calculated as the product of the number of items sold, x, and the price per item, p. Therefore, we can express the revenue as:

R = xp

In this case, we want to have a weekly revenue of $1,500, so we can set R equal to 1500 and solve for p:

1500 = x × p

Substituting the expression for x in terms of p given by the equation x = 800 - 100p, we get:

1500 = (800 - 100p) × p

Expanding and simplifying this equation, we get:

1500 = 800p - 100p²

or

100p² - 800p + 1500 = 0

We can solve for p using the quadratic formula:

[tex]p = \frac{(-b \pm \sqrt{(b^2 - 4ac)})}{2a}[/tex]

where a, b, and c are the coefficients of the quadratic equation.

In this case, we have:

a = 100

b = -800

c = 1500

Substituting these values into the quadratic formula, we get:

[tex]p = \frac{-(-800) \pm \sqrt{(-800)^2 - 4(100)(1500)}}{2 \times (100)}[/tex]

Simplifying this expression, we get:

[tex]p = \frac{800 \pm \sqrt{(160000 - 600000)}}{200}[/tex]

[tex]p = \frac{800 \pm \sqrt{(-440000)}}{200}[/tex]

Since the value inside the square root is negative, there are no real solutions for p. This means that the manufacturer cannot set a price per item that will result in a weekly revenue of $1,500 with the given equation.

However, we can use this equation to find the maximum revenue that the manufacturer can achieve by finding the vertex of the parabola represented by the quadratic equation. The x-coordinate of the vertex corresponds to the price per item that will result in the maximum revenue.

The x-coordinate of the vertex can be found using the formula:

x = -b / 2a

In this case, we have:

a = 100

b = -800

Substituting these values into the formula, we get:

x = -(-800) / 2(100)

  = 4

Therefore, the maximum revenue that the manufacturer can achieve is:

R = x × p  

  = 4 × (800 - 100(4))

  = $2400

To summarize, the manufacturer cannot set a price per item that will result in a weekly revenue of $1,500 with the given equation. However, using the equation, we can find the price per item that will result in the maximum revenue, which is $4. At this price, the manufacturer can achieve a weekly revenue of $2,400.

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Answer: Your welcome!

Step-by-step explanation:

a. An explicit formula for this sequence is an = 8 + 4(n - 1), where n is the number of the row in the sequence.

b. To determine the number of tiles in the 13th row, we substitute 13 for n in the explicit formula:

an = 8 + 4(13 - 1)

an = 8 + 48

an = 56

Therefore, the 13th row of the mosaic has 56 tiles.

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Answer:

a. an=4n + 4

b. 56 tiles

Step-by-step explanation:

a. We know that the first term of the arithmetic sequence is 8 and the second term is 12. Let's call the common difference between consecutive terms "d". Then we can use the formula for the nth term of an arithmetic sequence:

an = a1 + (n - 1)d

where an is the nth term, a1 is the first term, and d is the common difference.

Using this formula, we can find the explicit formula for the sequence:

a1 = 8

a2 = 12

d = a2 - a1 = 12 - 8 = 4

Therefore, the explicit formula for the sequence is:

an = 8 + 4(n - 1) = 4n + 4

b. We need to find the number of tiles in the 13th row, which means we need to find a13. Using the explicit formula we just found:

a13 = 4(13) + 4 = 56

Therefore, there are 56 tiles in the 13th row of the mosaic.

Answer:

A gap year can be a great option for some students after completing high school. It can provide an opportunity for personal growth, learning new skills, and gaining life experience. Gap years can also be used to travel, volunteer, or work to save money for future education.

The benefits of taking a gap year may include gaining independence, improving language skills, and gaining new perspectives on life. It can also provide an opportunity to explore different career options and interests before committing to a specific university program.

Some reasons for delaying a gap year may include financial considerations or the desire to start university right away. It's important to consider individual circumstances and goals when deciding whether to take a gap year or not.

The best way to spend a gap year will vary depending on individual interests and goals. Some options may include volunteering abroad, interning, working, or taking courses to improve skills or knowledge. It's important to research and plan ahead to make the most of the gap year experience.

Step-by-step explanation:

The decision to take a gap year after high school should be based on individual circumstances, goals, and interests.

It may be helpful for Zanele to consider her own priorities and plans for the future, and explore the various options available to her before making a decision.

A gap year can be a great option for some students after completing high school.

It allows them to take a break from formal education and explore other interests, gain work experience, or travel.

We have,

A gap year can be a great option for some students after completing high school.

It allows them to take a break from formal education and explore other interests, gain work experience, or travel.

It can also give them time to reflect on their goals and interests, and make a more informed decision about what they want to study in university or college.

Some benefits of taking a gap year include personal growth and development, gaining new skills and experiences, building independence and self-confidence, and developing a clearer sense of direction for future education and career goals.

There may be various reasons for delaying a gap year, such as financial constraints, a desire to enter the workforce or pursue other opportunities immediately, or a clear sense of direction and readiness for further education.

The best way to spend a gap year depends on individual interests, goals, and resources. Some common options include volunteering, interning, traveling, working, pursuing personal interests, or a combination of these activities. It is important to have a plan and goals for the gap year and to use the time productively and meaningfully.

Therefore,

The decision to take a gap year after high school should be based on individual circumstances, goals, and interests.

It may be helpful for Zanele to consider her own priorities and plans for the future, and explore the various options available to her before making a decision.

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Answer: he did his job fast but also very efficiently.

Step-by-step explanation:

its easy look at the word and then stop and think for a second and say hmmm in your head is it gonna be fast and then see it fast makes a good one and then the other one to just do the same thing and also i learend this in LA

Step-by-step explanation:

339 = 13 s      divide both sides by 13

s = 26.08

Maybe you meant

39 = 13 s    divide both sides of the equation by 13

s = 3

Answer:

14

Step-by-step explanation:

Answer: The simplest way to find the rotation angle is to take the trace of the matrix, the sum of the diagonal elements.

Step-by-step explanation: step 1 Show that the determinant is 1. Matrices with determinant -1 are reflections no rotations.

step 2 Find the eigenvalues. The three eigenvalues of the matrix are 1,e−iθ, where θ is the angle of rotation.

step 3 find the eigenvector for the eigenvalue 1. This is the axis of rotation.

The length of the side x is approximately 11.2 units.

A triangle is a three-sided polygon that is formed by connecting three non-collinear points in a plane. The three sides of a triangle are line segments that connect the vertices (corner points) of the triangle. The angles formed by the intersection of the sides are called interior angles of the triangle.

There are different ways to classify triangles based on their sides and angles. Based on sides, a triangle can be:

Equilateral: all three sides are equal in length.

Isosceles: two sides are equal in length.

Scalene: all three sides are of different lengths.

Based on angles, a triangle can be:

Acute: all three angles are acute (less than 90 degrees).

Right: one angle is a right angle (exactly 90 degrees).

Obtuse: one angle is obtuse (greater than 90 degrees).

In a right triangle, the side opposite the 68-degree angle is the hypotenuse, and the side adjacent to the 68-degree angle is the adjacent side. Therefore, we can use the trigonometric function cosine to find the length of the hypotenuse.

cos(68°) = adjacent/hypotenuse

cos(68°) = x/hypotenuse (since the adjacent side has length x)

We can rearrange the equation to solve for the hypotenuse:

hypotenuse = x/cos(68°)

Using a calculator, we can evaluate the expression for cos(68°) and substitute the given value for x to find the length of the hypotenuse:

hypotenuse = x/cos(68°) ≈ 36.9/x

Therefore, the length of the hypotenuse is approximately 36.9/x. We also know that the length of the other leg is 12. Using the Pythagorean theorem, we can find x:

x² + 12² = (36.9/x)²

Expanding the right side and simplifying, we get:

x⁴ - 15,129.6 = 0

Solving for x using a calculator, we get:

x ≈ 11.2 or x ≈ -11.2

Since x represents a length, it must be positive, so we take the positive value rounded to the nearest tenth:

x ≈ 11.2

Therefore, the length of the side x is approximately 11.2 units.

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Answer:

9/16

Step-by-step explanation:

We know

27 of every 48 residents of a small town are male.

What fraction of the population is male?

27/48 = 9/16

So, the answer is  9/16