19) Find the ratio between number faces and number of edges in the below rectangular prism.​

On solving the provided question, we can say that the equation that can be used to find the lengths of the congruent sides of an isosceles triangle, given the base and the perimeter, is: 2x + 12 = P

Since a triangle has three sides and three vertices, it is a polygon. It is a fundamental geometric form. Triangle ABC is the moniker given to a triangle that has vertices A, B, and C. When the three points are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and three corners. The points where the three sides meet are known as the triangle's corners. The product of three triangle angles is 180 degrees.

Let's call the length of each congruent side of the isosceles triangle "x".

Since the triangle has two congruent sides and a base, we know that the perimeter, P, is given by:

\(P = x + x + 12\\P = 2x + 12\\2x + 12 = 60\\2x = 48\\x = 24\)

Therefore, the lengths of the two congruent sides of the isosceles triangle are both 24 feet.

To summarize, the equation that can be used to find the lengths of the congruent sides of an isosceles triangle, given the base and the perimeter, is:

2x + 12 = P

where P is the perimeter and x is the length of each congruent side.

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The slope of that line through the origin that divides the region bounded is 1.0315

y = 5x - 3x2

5x - 3x2 = 0

x(5 - 3x) = 0

x = 0 , x = 5/3

Area under y = 5x - 3x2 is A = [0 to 5/3] 5x - 3x2 dx

A = [0 to 5/3] 5x2/2 - 3x3/3

A = [0 to 5/3] 5x2/2 - x3

A = 5(5/3)2/2 - (5/3)3 = 125/54

line passing through origin is in the form of y = mx

==> mx = 5x - 3x2

==> 3x2 + mx - 5x = 0

==> 3x2 + x(m -5) = 0

==> x(3x + (m -5)) = 0

==> x = 0 , x = (5 -m)/3

Area under y = 5x - 3x2 and y = mx is (125/54)/2 = 125/108

==> ?[0 to (5 -m)/3] 5x - 3x2 -mx dx = 125/108

==> ?[0 to (5 -m)/3] (5 - m)x - 3x2 dx = 125/108

==> [0 to (5 -m)/3] (5 - m)x2/2 - x3 = 125/108

==> (5 - m)[(5 -m)/3]2/2 - ((5 -m)/3)3 = 125/108

==> (5 -m)3/18 - (5 -m)3/27 = 125/108

==> (5 -m)3/54 = 125/108

==> (5 -m)3 = 125/2

==> (5 -m) = 3.9685

==> m = 5 - 3.9685

==> m = 1.0315

Hence slope of line = 1.0315

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The complete question is given below

There is a line through the origin that divides the region bounded by the parabola y=5x−3x^2 and the x-axis into two regions with equal area. What is the slope of that line?

0>1,If a function f is constructed recursively, at least one of its values, f(x), must be defined in terms of f(y), where x>y.

Explanation:

0>1.

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Answer:

100 children

150 adults

Step-by-step explanation:

c- children

a- adults

---------------

we get equations as per question:

Children 100, adults 150

Answer:

C. P = 30

Step-by-step explanation:

Parallelogram opposite (or parallel) sides are equal,

so:

2x = x + 2

5y - 9 = 2y + 3

For x:

2x = x + 2

2x - x = 2

x = 2

For y:

5y - 9 = 2y + 3

5y - 2y = 3 + 9

3y = 12

y = 4

the smallest sides are equal 2x and x + 2 => 2 * 2 = 4

the biggest sides are equal 5y - 9 and 2y + 3 => 2 * 4 + 3 = 11

P = 2 * (a + b)

P = 2 * (4 + 11)

P = 2 * 15

P = 30

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

Step-by-step explanation:

   45=5*3^2

    75=5^2*3

1.  LCM=product of the common and uncommon prime factors  at the biggest   power

LCM=3^2*5^2=9*25=225

2. HCF= product of the common prime factors at the lowest power

HCF=3*5=15

3. 10*x-3

4. 6^2-7^2=36-49=-13

5. I. K=4-1=3 drinks

    II. Total=4+3=7 drinks

6. You will draw exact as inthe drawing with dimensions l=8 cm,h=3cm, w=4 cm

Answer:

Step-by-step explanation:

LCM of two numbers is the smallest number that is evenly divisible by the two numbers

1) 45 = 3 * 3 * 5 = 3² * 5

75 =  3 * 5 * 5  = 3 * 5²

LCM = 3² * 5² = 9 *25 = 225

LCM = 225

2) HCF of two numbers is the greatest number which divides each of them exactly.

HCF of 45 and 75  = 3*5 = 15

HCF = 15

3) 10x  - 3

4) m² - n² = 6² - 7²

               = 36 - 49

               = -13

m² - n² = -13

When two numbers are in different sign, subtract and the result will have the sign of the bigger number.

5)a)  Kate prepared  (4-1) 3 drinks

  b) Total volume of drinks = 4 + 3 = 7

Answer:

-0.53

Step-by-step explanation:

5/4 *x -1/9 = 6x

-1/9 = (6-5/4) x

x = -4.75/9

x=-0.53

The value of variable x that makes -4x-(-10 - 8x) = -(12x-14) true is 1/4. thus, option c is correct.

An equation's unknown numerical value is represented by a symbol (typically a letter) called a variable in algebra. X and Y, which are real-number unknowns, as well as z, which are complex-number unknowns, as well as t, r, and s are frequently used variables (arc length).

Given

-4x-(-10 - 8x) = -(12x-14)

-4x + 10 + 8x = -12x + 14

4x + 10 = 14 - 12x

4x + 12x = 14 - 10

16x = 4

x = 4/16

x = 1/4

Thus, Option C is correct, x = 1/4

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Answer:

#1  216371.4826

#2  1509.2555

#3  6878.8267

The amount of oil required for 1 liter of fuel is 111.11 mL.

Fraction is the portion of a total amount where the above part of the fraction is the denominator and the bottom part of the fraction is called the numerator.

Given that the fuel is the mixture where 8 parts are petrol and 1 part is oil in the whole part of the fuel.

The total part of the fuel is 8+1=9

the portion of the petrol is = parts of petrol/total parts of the fuel= 8/9

the portion of the oil = parts of oil /total parts of the fuel= 1/9

Now we have to calculate the amount of oil required for 1 liter of fuel.

As discussed before, 1/9 parts of the fuel is oil.

So the amount of oil is= (1/9)*1 liter= (1/9)litre= 1/9* 1000 mL= 111.11 mL

Similarly, we can calculate the amount of petrol which will be

the amount of petrol= (8/9)*1 liter= (8/9) liter= 8/9*1000 mL= 888.88 mL

Therefore the amount of oil required for 1 liter of fuel is 111.11 mL.

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Answer:

the third one (2,-18)

Step-by-step explanation:

Answer:

By Both

Step-by-step explanation:

You have all 3 corresponding sides are proportional so you have SSS.  That is

24/8=15/5=18/6

You also have SAS because 15/5=18/6 and you have the angle between the sides that I'm referring to in that proportion.

To prove that the triangles are similar by the SAS similarity theorem the two sides and angles are proportional.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

From definition of similar triangles the 3 corresponding sides are proportional so you have SSS.  

Such that  24/8=15/5=18/6

We also have SAS because 15/5=18/6 and you have the angle between the sides.

Hence, to prove that the triangles are similar by the SAS similarity theorem the two sides and angles are proportional.

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Answer:

3489.9583

Step-by-step explanation:

but htts its s

Answer:

y = 3x+9

Step-by-step explanation:

We start by finding the slope

find find this by (y_end - y_beginning)/(x_end - x_beginning)

(39-24)/(10-5)=15/5=3

now to find the intercept we y_beginning - (slope*x_beginning)

24-(5*3) = 24-15 = 9

so the equation is

y = 3x+9

The error is in the second equation, where Noam incorrectly stated that k is equal to 17.41 instead of 17.95.

Let's analyze the calculations:

The equation "k minus 7.6 = 10.35" implies that k is equal to 10.35 plus 7.6. Combining these numbers, we get k = 17.95.

In the second equation "k = 17.41," it contradicts the previous value of k, which was found to be 17.95. Therefore, an error has occurred.

The error is in the second equation, where Noam incorrectly stated that k is equal to 17.41 instead of 17.95.

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There are 1820 different groups of applicants for 4 management trainee positions, 126 different groups of trainees consisting entirely of women, and a 0.0692 probability that the trainee class will consist entirely of women.

The number of different groups of applicants that can be selected for the four management trainee positions can be calculated using the combination formula:

nCr = n! / (r! * (n-r)!)

where n is the total number of applicants (16 in this case) and r is the number of positions to be filled (4 in this case).

So the number of different groups of applicants that can be selected is:

16C4 = 1820

Therefore, there are 1820 different groups of applicants that can be selected for the four management trainee positions.

The number of different groups of trainees that would consist entirely of women can be calculated using the combination formula again, but this time we are selecting all 4 positions from the 9 female applicants:

9C4 = 126

Therefore, there are 126 different groups of trainees that would consist entirely of women.

Assuming that all groups of four are equally likely to be selected, the probability that the trainee class will consist entirely of women can be calculated by dividing the number of different groups of trainees that consist entirely of women (126) by the total number of different groups of applicants (1820):

Probability = 126 / 1820 = 0.0692

So the probability that the trainee class will consist entirely of women is 0.0692 (rounded to four decimal places).

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Answers:

========================================================

Explanation:

To find the x intercept(s), we replace f(x) with 0 and solve for x.

\(f(\text{x}) = -\text{x}^3 - 3\text{x}^2 + 54\text{x}\\\\0 = -\text{x}^3 - 3\text{x}^2 + 54\text{x}\\\\-\text{x}^3 - 3\text{x}^2 + 54\text{x} = 0\\\\-\text{x}(\text{x}^2 + 3\text{x} - 54) = 0\\\\-\text{x}(\text{x} + 9)(\text{x} -6) = 0\\\\\)

Set each factor equal to x and solve those equations.

\(-\text{x} = 0 \ \text{ or } \ \text{x}+9 = 0 \ \text{ or } \ \text{x}-6 = 0\\\\\text{x} = 0/(-1) \ \text{ or } \ \text{x} = 0-9 \ \text{ or } \ \text{x} = 0+6\\\\\text{x} = 0 \ \text{ or } \ \text{x} = -9 \ \text{ or } \ \text{x} = 6\\\\\)

Therefore the x intercepts are 0, -9 and 6 in any order of your choosing.

It probably makes more sense to have the numbers in increasing order. So I would write the answer as -9, 0, 6 for the x intercepts portion.

--------------------------

To find the y intercept, we replace every copy of x with 0 and simplify

\(f(\text{x}) = -\text{x}^3 - 3\text{x}^2 + 54\text{x}\\\\f(0) = -(0)^3 - 3(0)^2 + 54(0)\\\\f(0) = 0\\\\\)

Everything goes to zero because the variable x is part of each term (and we replaced said variable with zero).

Therefore, the y intercept is 0. This also is one of the x intercepts mentioned earlier. In other words, this y intercept is at the origin (0,0).

At most one y-intercept is allowed if we wanted a function.

--------------------------

The graph is shown below to confirm the answers.

I used GeoGebra but you could use Desmos or any other similar software, or something like a TI83.

Given system of linear equations is:$$ \begin{aligned} x_1 + x_2 + 8x_3 &= 20 \\ x_1 + 5x_2 - x_3 &= 10 \\ 4x_1 + 2x_2 + 6x_3 &= 12 \end{aligned} $$

To solve the system by Jacobi's iterative method, write each equation in terms of the corresponding variable (i.e., isolate each variable on the left-hand side of the equation) as follows:$$ \begin{aligned} x_1 &= 20 - x_2 - 8x_3 \\ x_2 &= 10 - x_1 + x_3 \\ x_3 &= \frac{12 - 4x_1 - 2x_2}{6} \\ \end{aligned} $$Using initial estimates of x as [0, 0, 0], start the iteration process:$$ \begin{aligned} \text{Iteration 1:} & & \\ x_1^{(1)} &= 20 - 0 - 8(0) = 20 \\ x_2^{(1)} &= 10 - 0 + 0 = 10 \\ x_3^{(1)} &= \frac{12 - 4(0) - 2(0)}{6} = 2 \\ \text{Iteration 2:} & & \\ x_1^{(2)} &= 20 - 10 - 8(2) = -6 \\ x_2^{(2)} &= 10 - (-6) + 2 = 18 \\ x_3^{(2)} &= \frac{12 - 4(-6) - 2(18)}{6} = -4 \\ \text{Iteration 3:} & & \\ x_1^{(3)} &= 20 - 18 - 8(-4) = -10 \\ x_2^{(3)} &= 10 - (-10) - 4 = 24 \\ x_3^{(3)} &= \frac{12 - 4(-10) - 2(24)}{6} = -10 \\ \text{Iteration 4:} & & \\ x_1^{(4)} &= 20 - 24 - 8(-10) = 102 \\ x_2^{(4)} &= 10 - (102) - 10 = -102 \\ x_3^{(4)} &= \frac{12 - 4(102) - 2(-102)}{6} = 34 \\ \text{Iteration 5:} & & \\ x_1^{(5)} &= 20 - (-102) - 8(34) = 302 \\ x_2^{(5)} &= 10 - (302) + 34 = -258 \\ x_3^{(5)} &= \frac{12 - 4(302) - 2(-258)}{6} = 110 \\ \end{aligned} $$The iteration stops when the error of each estimate is less than the tolerance of 10³. In this case, since the magnitude of the third estimate exceeds the tolerance, the process must continue until the tolerance is met:$$ \begin{aligned} \text{Iteration 6:} & & \\ x_1^{(6)} &= 20 - (-258) - 8(110) = 1,118 \\ x_2^{(6)} &= 10 - (1,118) + 110 = -998 \\ x_3^{(6)} &= \frac{12 - 4(1,118) - 2(-998)}{6} = 330 \\ \end{aligned} $$Therefore, the solution to the system of linear equations by Jacobi's iterative method with initial estimate [0, 0, 0] and tolerance of 10³ in the norm is:$$ \boxed{x \approx [1,118, -998, 330]} $$

The iterative method is used to solve a system of linear equations, as in the Jacobi iteration method. The method is used when the original method is not effective or too complex. Iterative techniques are popular because they can compute a large number of equations using a computer quickly and accurately.Jacobi's iterative method is a technique used to solve a set of linear equations with n variables that requires at least n iterations to converge. It works by isolating each variable on one side of the equation and then iteratively substituting the previous estimate of each variable into the corresponding equation until the estimated values converge within a certain tolerance.The iteration formula for Jacobi's method is given by$$ x_i^{(k+1)} = \frac{1}{a_{ii}} \left(b_i - \sum_{j=1, j \ne i}^{n} a_{ij} x_j^{(k)} \right) $$where k is the iteration number and x^(k) is the vector of previous estimates. In this formula, the diagonal element aii is isolated on one side of the equation, and the summation term represents the contribution of all other variables except xi. The previous estimate xi^(k) is then substituted into the equation to compute the updated estimate xi^(k+1).

Jacobi's method is a powerful tool for solving a system of linear equations with multiple variables. The method involves iterative substitution of the previous estimate of each variable into the corresponding equation until the estimated values converge within a certain tolerance. The process continues until the desired level of accuracy is reached. This method can be effectively used to solve many problems that would otherwise be too difficult or complex.

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Answer:

Value of what?

Step-by-step explanation:

Put your question DB and I'll answer!

Answer:

x = 15

Step-by-step explanation:

x = 15 means that if you have 1 + x and plug in the 15 for x, 1 + 15 you will get 16.

Note: I'm not quite sure what the question is on this one, but I hope I could help.

All parties involved in the supply chain must work together to reduce losses and improve the supply chain's efficiency.

The supply chain is responsible for moving materials through various parties. Each party is accompanied by a loss or defect rate that can have a significant impact on the overall supply chain. The loss or defect rate associated with each party of the supply chain is listed below:

A. Suppliers: 1.0% of all materials delivered are unacceptable for use. This means that the suppliers are responsible for the quality and delivery of raw materials. Suppliers should ensure that the materials provided are of the required standard, meet the manufacturer's specifications, and are delivered on time.

B. Manufacturing: 0.9% of items produced are defective and are thus not shipped. The manufacturer should ensure that products are manufactured to meet quality specifications, and that product defects are identified and corrected.

C. Distribution: 1.1% of the items shipped are lost, stolen, or damaged in transit. The distribution parties are responsible for moving the products from the manufacturing plant to the retail stores. They are responsible for ensuring that the product is delivered to the right location at the right time, and that it is in the right condition.

D. Retail Store: 1.2% of items are stolen/damaged and thus unavailable for sale. Retailers are responsible for ensuring that products are on the shelves and in the right condition, with the right pricing, in the right quantity, at the right time. They must ensure that products are protected from damage or theft.

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Answer:

The answer is 20.

Step-by-step explanation:

The side that equals 4 is conguent to the line QR, the side that equals 6 is congruent to the line NP. Add the whole line up then it would equal 20.

Answer:

The answer is

x = 0

mark me brainliest!! <3

The value of x for the equation  -5 - 3(6x – 8) = -5x + 19 is 0.

The equals sign is used in equations to indicate the equality of two expressions in a formula.

Given equation:

-5 - 3(6x – 8) = -5x + 19

-5 -18x + 24 = -5x + 19

-18x + 5x = 19 - 24 + 5

-13x = 0

x = 0

Therefore, the value of x for the equation  -5 - 3(6x – 8) = -5x + 19 is 0.

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Answer:

$7,584

Step-by-step explanation:

The computation of the amount worth at the end of 6 years is shown below:

As we know that

SImple interest = Principal amount × rate of interest × time period

= $6,000 × 4.4% × 6

= $1,584

Now the amount at the end of 6 years is

= Principal amount + simple interest

= $6,000 + $1,584

= $7,584

Hence, the amount would be $7,584

Standard deviation and median are less affected by extreme scores, while mode is not affected at all since it represents the most frequently occurring value.

The measure of variation affected most by a few extreme scores is the range, as it considers only the difference between the highest and lowest values in a dataset. However, the mean can also be influenced by extreme scores, causing it to deviate from the central tendency. Standard deviation and median are less affected by extreme scores, while the mode is not affected at all since it represents the most frequently occurring value.

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The measure of variation affected most by a few extreme scores is the range. The range is the difference between the

highest and lowest values in a data set. Extreme scores significantly increase the range, making it a sensitive measure

of variation.

The measure of variation that is affected most by a few extreme scores is the standard deviation.

The reason for this is that the standard deviation is calculated by taking the square root of the sum of squared

deviations from the mean, and the squared deviations from the mean are particularly sensitive to extreme scores.

On the other hand, the mode, range, median, and mean are less affected by a few extreme scores.

The mode is simply the most frequently occurring value in a dataset and is not affected by extreme scores.

The range is the difference between the highest and lowest values in a dataset and can be affected by extreme scores, but only to a limited extent.

The median is the middle value in a dataset, and it is also not affected by extreme scores unless they are extreme

enough to change the position of the middle value.

The mean is the average value in a dataset, and while it can be influenced by extreme scores, its effect is typically less

pronounced than on the standard deviation.

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The pair of figures having same volume are:

a. The cylinder has a radius of 3 units and a height of 8 units ; The cone has a radius of 6 units and a height of 6 units.

b. The cone has a radius of 8 units and a height of 9 units ; The cylinder has a radius of 4 units and a height of 12 units.

c. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units ; The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.

What is volume of a figure?

Volume is a unit of measurement for three-dimensional space. It is usually stated quantitatively in terms of a number of imperial or US-standard units as well as SI-derived units.

i. The cone has a radius of 4 units and a height of 12 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(4^{2} \frac{12}{3}\)

⇒ Volume = 64 π

⇒ Volume = 201 cubic units

ii. The rectangular prism has a length of 18 units, a width of 6 units, a height of 6 units.

⇒ Volume = length * width * height

⇒ Volume = 18 * 6 * 6

⇒ Volume = 648 cubic units

iii. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units.

⇒ Volume = length * width * height

⇒ Volume = 16 * 6 * 6

⇒ Volume = 576 cubic units

iv. The cylinder has a radius of 3 units and a height of 8 units.

⇒ Volume = π\(r^{2}\)h

⇒ Volume = π\(3^{2}\) * 8

⇒ Volume = 72 π

⇒ Volume = 226 cubic units

v. The cone has a radius of 8 units and a height of 9 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(8^{2} \frac{9}{3}\)

⇒ Volume = 192 π

⇒ Volume = 603 cubic units

vi. The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.

⇒ Volume = length * width * height

⇒ Volume = 8 * 8 * 9

⇒ Volume = 576 cubic units

vii. The cylinder has a radius of 4 units and a height of 12 units.

⇒ Volume = π\(r^{2}\)h

⇒ Volume = π\(4^{2}\) * 12

⇒ Volume = 192 π

⇒ Volume = 603 cubic units

viii. The cone has a radius of 6 units and a height of 6 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(6^{2} \frac{6}{3}\)

⇒ Volume = 72 π

⇒ Volume = 226 cubic units

Hence, three pairs have the same volume.

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The missing figures have been attached below.

Answer:

20

I hope this helps!

Answer:

20

Step-by-step explanation:

hope this helps I know I'm too late.

The solution which we get for the given question is , x = 5/2 and y = 5/4 answer.

Isolating x,

2x = 9x - 14y

2x-9x = 9x-9x -14y

-7x = -14y

-7x/-7 = -14y/-7

x = 2y

Therefore substituting value of x on equation 2,

9(2y) = 40 - 14y

18y = 40 - 14y

18y+14y = 40 -14y+14y

32y = 40

32y/32 = 40/32

y = 5/4

Therefore , x = 10/4 = 5/2

as because x =2y.

An equation is a mathematical statement which equated two value using the equal sign. Eg.) 2x = y

These expressions on either side of the equals sign are referred to as the equation's "left" and "right" sides. The right-hand side of an equation is usually assumed to be zero. The generality will still be there as  because we can balance it by subtracting the right-hand side expression from the expressions on both sides.

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Answer:

180 degrees Celsius

Step-by-step explanation:

I think it's correct