If BC represents 10% what is the length of a line segment that is 100%?

Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

The amount Siya will spend on tiles is given by the expression (1.1 x T / 6) x R234, where T represents the required number of tiles. To calculate the amount Siya will spend on tiles, we need to determine the number of boxes of tiles he needs to purchase and then multiply it by the price per box.

First, we need to determine the number of tiles required. Let's assume the required number of tiles is represented by the variable "T."

Since the builder recommends buying 10% more tiles in case of breakages, Siya needs to purchase 110 percentage of the required number of tiles. This can be calculated as:

110% of T = 1.1 x T

Next, we need to convert the number of tiles into the number of boxes required. We know that one box contains 6 tiles, so the number of boxes Siya needs to purchase is:

Number of boxes = (1.1 x T) / 6

Finally, we can calculate the total cost by multiplying the number of boxes by the price per box:

Total cost = (1.1 x T / 6) x R234

Please note that without knowing the specific number of tiles required (T), we cannot provide an exact amount Siya will spend.

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Answer:

the solution set is -11 > 1 + a?

a > -10

a -12

a < -10

Answer:

Step-by-step explanation:

59°

Answer:

y=2x+6

Step-by-step explanation:

Answer:

x=4 and y=2

Step-by-step explanation:

I'm not 100% sure but I substituted different numbers into the equation:

If x=4 and y=2 then 4+2=6 and 3x2=6 so it would be 6=6

Another option is x=7 and y=3 then 7+2=9 and 3x3=9 so it would be 9=9

I'm more confident with x=4 and y=2 because of the small size of the triangle.

I hope this helps! Good luck! :)

Answer:

first off theres two ways of doing it the equation is more fun though

14.5 = x + 4.5

14.5 = x(5) -4.5

-4.5

10 = 5x

divide by 5

you get

2x or $2

other way was to just -4.5 and divide by 5 but thats no fun

The value of the expression; 6 × 10 + 4³ as given in the task content is; 124.

It follows from the task content that the value of the expression given in the task content; 6 × 10 + 4³ is to be determined.

Hence, the value of the expression can be evaluated using PEMDAS guidelines as follows;

Since the given expression is;

6 × 10 + 4³

Since the exponent, so that we have;

6 × 10 + 64

Next, solve the multiplication, so that we have;

60 + 64

= 124.

On this note, the value of the expression is; 124.

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Answer:

 \(\dfrac{x^2+8x+8}{2x+4}\\\\\)

Step-by-step explanation:

Simplify:

        \(\dfrac{3x + 4}{x +2}+\dfrac{x^2+2x}{2x+ 4}\)

Multiply the denominator and the numerator of the first term by 2,

                        \(=\dfrac{2*(3x +4)}{2*(x+ 2)}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{2*3x+2*8}{2*x +2*2}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{6x+8}{2x+4}+\dfrac{x^2+2x}{2x+4}\)

                       \(\sf = \dfrac{6x+8+x^2+2x}{2x+4}\\\\\text{\bf Combine like terms,}\\\\=\dfrac{x^2+8x+8}{2x+4}\\\\\)

Using it's concept, the percentage of employees with 8 or more years at the company reported that email is their preferred method of communication is:

D. 44.79%.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

P = a/b x 100%

In this problem, there are 96 employees with 8 or more years of experience, of which 43 prefer email, hence the percentage is:

P = 43/96 x 100% = 44.79%.

Hence option D is correct.

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9514 1404 393

Answer:

Step-by-step explanation:

You have marked the points on the graph corresponding to ...

  f(-2) = 4

  f(1) = -5

__

The domain is the horizontal extent, from x = -3 to +∞.

The range is the vertical extent, from y = -5 to +11 (inclusive).

Discrete Math

To prove that not every finite poset admits an embedding into the ordered set of triples of real numbers as in example 2.1.1, we need to find a finite poset that cannot be embedded into the ordered set of triples of real numbers. One such example is the poset consisting of four elements a, b, c, and d with the following relations: a < b, a < c, and b < d, c < d. This poset is shown below:
```
d
/ \
b   c
\ /
 a
```
This poset cannot be embedded into the ordered set of triples of real numbers because there is no way to assign real numbers to the elements a, b, c, and d such that the relations a < b, a < c, and b < d, c < d are preserved. If we try to assign real numbers to the elements in the form of triples (x, y, z), we will find that there is no way to satisfy all of the relations at the same time. For example, if we assign (1, 1, 1) to a, (2, 2, 2) to b, (3, 3, 3) to c, and (4, 4, 4) to d, then the relations a < b and a < c are satisfied, but the relations b < d and c < d are not satisfied. Similarly, if we assign (1, 1, 1) to a, (2, 2, 2) to b, (2, 2, 3) to c, and (3, 3, 3) to d, then the relations a < b, a < c, and b < d are satisfied, but the relation c < d is not satisfied. Therefore, we can conclude that not every finite poset admits an embedding into the ordered set of triples of real numbers as in example 2.1.1.

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The probability of event A given the event B is 0.35 or 7/20.

It is given that A and B are two events.

Given probabilities are as follows:

Probability of A and B is = P(A and B) = 0.14

Probability of B = P(B) = 0.4

We know that the conditional probability of event A given B is given by,

P(A | B)

= P(A and B)/P(B)

= 0.14/0.4 [Substituting the value which are given]

= 14/40

= 7/20 [Eliminating the similar values from numerator and denominator]

= 0.35

Hence the probability of event A given the event B is 0.35 or 7/20.

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The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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Answer:

This is pogers

Step-by-step explanation:

What is ur minecraft usernaem

Answer:

consistent  

A consistent and independent solution to a system of linear equations is one point

A consistent and dependent solution to a system of linear equations is where they are the same line ( they could also be called equivalent)

An inconsistent solution is where there is no solution, the lines do not cross

Since the lines cross at exactly one point, this is a consistent and dependent solution

The solution is at x = 3  ( 3 units to the right of the origin)

and y = 2 ( 2 units up from the origin)

Step-by-step explanation:

The number of pounds that one of the heaviest bag weighs more than one of the lightest bag in the given line plot is: 1½

In a line plot, frequency of a data point is either represented by a dot or a mark.

In the line plot given:

Heaviest bag weighs 5¾

Lightest bag weighs 4¼

The difference between the heaviest and lightest bag = 5¾  - 4¼

= 23/4 - 17/4

= (23 - 17)/4 = 6/4 = 3/2

= 1½

The heaviest bag weighs 1½ pounds than the lightest bag.

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Calculating the volume of a rectangular prism is a simple process that involves multiplying the length, width, and height.

Calculating the volume of a rectangular prism is a straightforward process. A rectangular prism is a three-dimensional shape that has a length, width, and height. To find its volume, you simply multiply the length by the width by the height. The formula for calculating the volume of a rectangular prism is:
Volume = length x width x height
For example, if a rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm, its volume would be:
Volume = 5 cm x 4 cm x 3 cm
Volume = 60 cubic centimeters (cm³)
It's important to ensure that all measurements are in the same unit before calculating the volume. For instance, if the length is in meters and the width and height are in centimeters, you would need to convert the length to centimeters to ensure that all measurements are in the same unit before calculating the volume.
In conclusion, calculating the volume of a rectangular prism is a simple process that involves multiplying the length, width, and height. This formula can be used for any rectangular prism regardless of its size or shape.

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the x-intercepts will be -π/2, -3π/2,  π/2, 3π/2.

What is Trigonometric Functions?

Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.

The x-intercepts are locations on the coordinate plane where the y-value of the ordered pair is 0.

y = cos(x)

so the x-intercepts will be -π/2, -3π/2,  π/2, 3π/2.

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Answer:

3 times longer

Step-by-step explanation:

[] With your comment of the following, we can answer this question;

"There are red blue and yellow ribbons. The red ribbon is 1/2 meters long the blue ribbon is 1 1/2 meters long, and the yellow ribbon Is 3/8 meters long. About how many times longer is the blue ribbon than the red ribbon?"

-> The problem is only asking about blue (1 1/2) and red (1/2) so we can ignore yellow in this case.

[] It is asking how many times longer the blue ribbon is. Times is multiplication, and the opposite of multiplication is division.

-> 1 1/2 can become 3/2 to make doing division easier

-> 3/2 / 1/2 becomes 3/2 * 2/1, and then we multiply across

\(\frac{3}{2} *\frac{2}{1}=\frac{6}{2}=3\)

-> The blue ribbon is 3 times longer than the red ribbon.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Ken will receive a total dividend payment of $75 for that quarter.

We have to given that,

Ken owns 500 shares of LaceNBrace, which makes hockey equipment.

And, He receives a notice stating the company will be paying $0.15 dividend per share.

Now, For the total dividend payment Ken receives for that quarter, we can multiply the dividend per share by the total number of shares he owns:

= $0.15 per share x 500 shares

= $75

Therefore, Ken will receive a total dividend payment of $75 for that quarter.

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Answer:

x ≈ 5

Step-by-step explanation:

Using the rule of logarithms

\(log_{b}\) x = n ⇒ x = \(b^{n}\)

Given

\(log_{10}\) x ≈ 0.701 , then

x = \(10^{0.701}\) ≈ 5

The Probability that the mean height for the sample is greater than 64 inches is 0.4602

Normal Distribution is an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off symmetrically toward either extreme.

According to the question ,

The mean height follows normal distribution

Population mean : μ = 63.7 inches

Population variance : σ = 2.85 inches

We have to find probability that the mean height for the sample is greater than 64 inches = P( x > 64)

Subtracting by 63.7 and dividing by 2.85

=> \(P( \frac{x-63.7}{2.85} > \frac{64 - 63.7}{2.85})\)

=> \(P( z > \frac{0.3}{2.85})\)

=> \(P( z > 0.105)\)

=> 1 - P(z < 0.105)

Using z probability distribution table,

=> 1 - 0.5398

=> 0.4602

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An equation that represents this function is \(f(x)=\frac{0.8(x-4)}{x-1}\).

By critically observing the graph of this function, we can logically deduce that the vertical asymptote include the following;

x = 1 ⇒ x - 1 = 0.

Since f has a vertical asymptote is at x = 1, the denominator of the rational function would have the term (x - 1) with this form;

f(x) = g(x)/(x - 1)

Additionally, the function g(x) which is the numerator must have the same degree as the denominator because f has a horizontal asymptote. Also, the function g(x) must contain the term (x - 4) because f(x) has a zero at x = 4.

Therefore, the required function is given by;

f(x) = 0.8(x - 4)/(x - 1)

\(f(x)=\frac{0.8(x-4)}{x-1}\)

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the bisectors of two supplementary angles are perpendicular to each other is proved along with the given diagram.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

Here, we have,

from the given diagram we get,

∠BOP=x  &   ∠AOP=180-x

and, ∠NOP=x/2   &   ∠MOP=(90-x/2)

Now,

∠MON=∠MOP+∠NOP

          =90-x/2 + x/2

          =90

Hence, it is proved that  the bisectors of two supplementary angles are perpendicular to each other.

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The measure of each exterior angles of rectangle is 90°

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

A rectangle

A rectangle is a polygon with 4 sides

So, the measure of the exterior angle can be calculated using the formula for the exterior angles in a polygon

The exterior angles in a polygon are found by using:

Exterior of a rectangle in a polygon =  360°/Number of sides of the polygon

In this case,

The number of sides of the rectangle = 4

So, we have

Exterior of a rectangle =  360°/4

Evaluate

Exterior of a rectangle =  90°

Hence, the value of the measure of each exterior angles of rectangle is 90°

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Complete question

Find the measure of each exterior angles of rectangle?

Step by step​

Answer:

Option A

Step-by-step explanation:

Option A is an arithmetic sequence.

Each week, the salary goes up by a fixed $50.

To verify this, subtract any two consecutive weeks' salaries.

For example: $250 - $200 = $50; $350 - $300 = $50, etc.

The common difference in 50.

We have an arithmetic sequence with 20 terms. The first term is $200. We need to find the sum of the 20 terms.

The sum of an arithmetic sequence is given by the formula:

\( S_n = \dfrac{n}{2} \times [2a_1 + (n - 1)d] \)

S_n = sum of first n terms

n = number of terms = 20

a_1 = first term = 200

d = common difference = 50

\( S_{20} = \dfrac{20}{2} \times [2(200) + (20 - 1)(50)] \)

\( S_{20} = 10 \times [400 + 19(50)] \)

\( S_{20} = 10 \times [400 + 19(50)] \)

\( S_{20} = 13500 \)

Option A gives a total of $13,500 for the first 20 weeks.

Option B is a geometric sequence in which the salary goes up by 10% each week. To verify this, divide any salary by the previous week's salary.

For example: $220/$200 = 1.10; $266.20/$242 = 1.10; in each case, each salary is 1.1 times the previous week's salary which means a 10% increase. The common ratio of the geometric sequence is 1.1.

We need the formula for the sum of the first n terms of a geometric sequence.

\( S_n = \dfrac{a_1(1 - r^n)}{1 - r} \)

\( S_{20} = \dfrac{200(1 - 1.1^{20})}{1 - 1.1} \)

\( S_{20} = \dfrac{200(1 - 6.7274999)}{-0.1} \)

\( S_{20} = 11455 \)

Option B gives a total of $11,455 for the first 20 weeks.

Answer: Option A

Answer:

a) Three ways of describing the representative or typical temperatures are the mean, median, and mode.

The mean = 5.  This is the average temperature.  It is calculated by adding up the varying temperatures each year and dividing by 10.

Median = 5.5.  This is the middle value in the temperature table.  There are two middle numbers (5 and 6) in the dataset.  They are added and divided by two.

Mode = 6.  This is the value that occurs more than other values in the dataset.  The value 6 occurred twice more than other values.

b) The two ways of describing the variation of temperatures are the variance and the standard deviation.

Variance = 7. This is a measure of how spread out a data set is. It is calculated as the average squared deviation of each number from the mean of a dataset.

Standard Deviation = 2.65.  The standard deviation measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Step-by-step explanation:

a) Data and Calculations:

Noon Temperatures (in degrees Celsius) in a particular Canadian City on Thanksgiving Day:

Year    Degree  Difference     Squared

           Celsius                       Difference

2002        0          -5                     25

2003        3          -2                       4

2004        6           1                        1

2005        8           3                       9

2006        2          -3                       9

2007        9           4                      16

2008        7           2                       4

2009        6           1                        1

2010         4          -1                        1

2011          5          0                       0

Sum       50                                  70

Mean =    5 (50/10)

Variance =                                    7 (70/10)

Standard Deviation = 2.65 (Square root of variance)          

Median =  0, 2, 3, 4, 5, 6, 6, 7, 8, 9 (the values are arranged numerically.)

= (5 + 6)/2 = 5.5

Mode = 6 (occurred twice more than other values)

3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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When y = -x² + 15x - 56 then coordinates are is (c) (-7, 0); (8, 0).

Quadratic functions are a type of polynomial function of degree 2, which can be expressed in form f(x) = ax² + bx + c, where a, b, and c are constants, and x is the variable.

The graph of the given quadratic equation y = -x² + 15x - 56 can be plotted using a graphing calculator or any graphing tool. The x-intercepts are the points on the x-axis where the graph intersects the x-axis, i.e., the points where y = 0. By plotting the graph, we can determine the x-intercepts to be (-7, 0) and (8, 0), which correspond to option (c) (-7, 0); (8, 0).

Option (a) and (b) have incorrect x-coordinates for the x-intercepts, and option (d) has both positive x-coordinates for the x-intercepts, which is not correct based on the graph of the given quadratic equation.

Hence, option (c) is the correct answer.

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Answer:

(-2a+5)^6-5(-2a+5)

Step-by-step explanation:

plug f(a) into g(a) where there is an 'a'