Find the length of the missing side

185 centimeter is approximately equal to 6.0696 feet

To convert 185cm to feet, we can use the following formula:

1 cm = 0.0328 feet

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The distance in feet = conversion factor × The distance in centimeter

Substitute the values in the equation

185 cm = 185 x 0.0328

Multiply the numbers

= 6.0696 feet ( rounded to four decimal places )

Therefore, 185cm is 6.0696 feet.

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Answer:

means

Step-by-step explanation:

The first term and the fourth term of a proportion are called extreme terms, and the second term and the third term are called means.

The probability of selecting three balls of the same color without replacement is 0.0545, and with replacement is 0.0393. The probability of selecting three balls of different colors without replacement is 0.4591, and with replacement is 0.4968.

(a) To select a set of 3 balls that are all of the same color, we need to choose one of the three colors (red, blue, or green), and then select 3 balls of that color from the urn. There are three ways to choose the color of the balls. For each color, the number of ways to select 3 balls of that color is given by the number of combinations of 3 balls from the set of balls of that color. Thus, the total number of ways to select a set of 3 balls that are all of the same color is:

Number of ways to select 3 red balls + number of ways to select 3 blue balls + number of ways to select 3 green balls

= (5 choose 3) + (6 choose 3) + (8 choose 3)

= 10 + 20 + 56

= 86

The total number of ways to select any set of 3 balls from the urn is given by the number of combinations of 3 balls from the set of 19 balls in the urn:

Total number of ways to select any set of 3 balls = (19 choose 3) = 969

Therefore, the probability that each of the balls will be of the same color is:

P(each ball of the same color) = (number of ways to select 3 balls of the same color) / (total number of ways to select any set of 3 balls)

= 86 / 969

= 0.089

So the probability that each of the balls will be of the same color is approximately 0.089 or 8.9%.

(b) To select a set of 3 balls that are of different colors, we need to choose one ball of each color from the urn. The number of ways to select one ball of each color is given by the product of the number of balls of each color:

Number of ways to select 1 ball of each color = 5 x 6 x 8 = 240

The total number of ways to select any set of 3 balls from the urn is still 969.

Therefore, the probability that each of the balls will be of different colors is:

P(each ball of different color) = (number of ways to select 1 ball of each color) / (total number of ways to select any set of 3 balls)

= 240 / 969

= 0.248

So the probability that each of the balls will be of different colors is approximately 0.248 or 24.8%.

When the balls are selected with replacement, the probabilities remain the same because the probabilities of selecting each ball are unchanged on each draw.

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Answer: x = -11

Step-by-step explanation:

[tex]\frac{-x+10}{3} = 7[/tex]

⇒-x+10 = 7x3
⇒-x+10 = 21
⇒-x = 21-10
⇒-x = 11
∴ x = -11

Answer:

v = 32

Step-by-step explanation:

-12 = -3/8v

Divided by -3/8, both sides

v = 32

Let's check

-12 = -3/8(32)

-12 = -12

So, v = 32 is the correct answer.

Step-by-step explanation:

6 notebooks = $d

1 notebook = $?

So

1 notebook price = $d ÷ 6

Answer:

Step-by-step explanation:

n represents the number of notebooks

d represents the cost of a notebook

n = d            one notebook = d dollars

9n = 9d        multiply both sides by 9

Using the given equation, The weight of a cat when it is 7 months old is 4 kilograms.

Equations describe physical processes and the relationship between different physical quantities. Equations are mathematical and physical statements. Physical quantities are presented using simple variables, and after that, a personal variable, such as your energy, may be indicated.

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14. Algebraic equations in mathematics frequently have one or more variables.

In this situation, the statement "w(7) = 4" represents that a cat that is 7 months old weighs 4 kilograms.

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The restaurant sold 25 calzones and 21 slices. Our answer as an ordered pair is (25, 21).

To solve this problem, we can use a system of equations. Let x be the number of calzones sold and y be the number of slices sold. We can create two equations based on the information given:

1) x + y = 46 (the total number of calzones and slices sold)

2) 9x + 6y = 351 (the total money collected)

We can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for y in terms of x:

y = 46 - x

Now we can substitute this expression for y into the second equation:

9x + 6(46 - x) = 351

Simplifying and solving for x:

9x + 276 - 6x = 351

3x = 75

x = 25

Now we can substitute this value of x back into the first equation to find y:

25 + y = 46

y = 21

So the restaurant sold 25 calzones and 21 slices. Our answer as an ordered pair is (25, 21).

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The values of  x and y are

Figure (a)

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

Parallel and congruent lines

This means that

5y - 8 = 2y + 1

So, we have

3y = 9

Divide

y = 3

Also, we have

1/5x + 3 = 4x - 35

So, we have

x + 15 = 20x - 175

This gives

19x = 190

x = 10

Figure (a)

Here, we have

1/3y - 6 = 66 - 2/3y

This gives

y - 18 = 198 - 2y

Evaluate

3y = 216

Divide

y = 72

For x, we have

1/4x + 5 = 1/2x - 7

So, we have

1/2x =+ 12

Evaluate

x = 24

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1. The connection between exponential functions and geometric sequences is that the terms of a geometric sequence are generated by repeatedly multiplying the previous term by a constant ratio, which can be expressed using an exponential function.

2. Moore's Law is associated with the exponential function because it describes a growth pattern that is exponential in nature.

1. If  the first term of a geometric sequence is denoted by a_0 and the common ratio is denoted by r, then the nth term can be calculated using the formula a_n = a_0 * r^(n-1), which is equivalent to the exponential function f(n) = a_0 * r^n. Conversely, if we have an exponential function f(n) = a * r^n, then the sequence of its values for n = 1, 2, 3, ... forms a geometric sequence with first term a and common ratio r.

2. Moore's Law is a prediction made by Gordon Moore, co-founder of Intel, in 1965, that the number of transistors on a microchip would double every 18-24 months, while the cost per transistor would decrease. This has been interpreted to mean that the processing power of computers would double every 18-24 months, leading to exponential growth in computing power and an exponential decrease in the cost of computing.

Moore's Law is associated with the exponential function because it describes a growth pattern that is exponential in nature. The number of transistors on a microchip is growing at an exponential rate, which means that the rate of growth is proportional to the current number of transistors. This can be represented mathematically as an exponential function, such as y = a * e^(kx), where y is the number of transistors, x is time, a is the initial number of transistors, and k is the growth rate.

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The percent of total monthly net income for the monthly living expenses and fixed expenses is 60%, the monthly share of annual expenses is $3,000 and the total your three percents is 120%.

A challenge problem is a task or question that requires a significant amount of thought, analysis, and problem-solving skills to solve. It often involves complex scenarios, calculations, or decision-making processes, and may require the use of multiple skills or disciplines to arrive at a solution.

To calculate the percentage of the Penders' total monthly net income that goes towards monthly living expenses and fixed expenses, we need to know the actual amounts of their monthly living and fixed expenses, as well as their total monthly net income. Let's assume that the Penders have a total monthly net income of $5,000, and their monthly living expenses and fixed expenses add up to $3,000.

The percentage of their total monthly net income that goes towards monthly living expenses and fixed expenses can be calculated as follows:

$3,000 (monthly living expenses and fixed expenses) ÷ $5,000 (total monthly net income) x 100% = 60%

Therefore, 60% of the Penders' total monthly net income goes towards monthly living expenses and fixed expenses.

To calculate the monthly share of annual expenses, we need to know the total amount of their annual expenses. Let's assume that their annual expenses add up to $36,000. The monthly share of their annual expenses can be calculated as follows:

$36,000 (annual expenses) ÷ 12 (number of months in a year) = $3,000 (monthly share of annual expenses)

To total the three percents, we add the percentage of their total monthly net income that goes towards monthly living expenses and fixed expenses (60%) to the percentage of their monthly share of annual expenses (which is also 60%, since $3,000 is 60% of $5,000). This gives us a total of 120%.

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According to the conversion, 55 kg is equal to approximately 121.25 lbs.

In the world of mathematics, measurement plays a vital role in determining the quantity, weight, and size of any object. The standard units of measurement are different in various countries, and knowing how to convert from one unit to another is essential.

The question posed is, "What is 55 kg in lbs?" Here, 'kg' is a unit of mass, commonly used in the metric system, whereas 'lbs' stands for pounds, which is a unit of weight in the Imperial system. To convert from kg to lbs, we need to multiply the given value by a conversion factor.

1 kg is equal to 2.20462 pounds. Hence, we can use this conversion factor to convert 55 kg to lbs as follows:

55 kg x 2.20462 lbs/kg = 121.2542 lbs (rounded off to two decimal places)

In conclusion, understanding measurements and being able to convert from one unit to another is a fundamental aspect of mathematics. In this case, we used the conversion factor of 2.20462 lbs/kg to convert 55 kg to lbs.

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In mathematics, Z means complex number and it is represented as (a+ib) where a is real part and b is the imaginary part.

In mathematics, the number are represented by using some certain notations, like N for all natural number, Z for all complex numbers, R for all real numbers.

Now, here the formula of Z is asked, Z is a combination of two number

Z = a+ib

Where, a is real part, b is the imaginary part and "i" is called the notation Iota that is used with the imaginary part to represent the imaginary part.

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Answer:

Step-by-step explanation:

120=10*12

120=5*2*4*3

120=5*2*2*2*3

120=(2^3)*3*5

The slope of UN is solved to be

The slope of UN is solved using the points denoting U and N and the points are

U (4, -2) and N (1, 2)

Formula for slope is

= change in y direction  / change in x direction

= (-2 - 2) / (4 - 1)

= -4 / 3

The slope of UN is -1 1/3

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The given statement "Two vectors are linearly dependent if and only if they are collinear" is true because one is a scalar multiple of the other.

Two vectors are linearly dependent if and only if one of them is a scalar multiple of the other. This means that if you have two vectors, say v and w, then there exists a scalar c such that v = cw or w = cv.

If v and w are collinear, then they lie on the same line and one is a scalar multiple of the other. Specifically, if v = (a, b) and w = (c, d) are collinear, then there exists a scalar k such that v = kw, which means that a = kc and b = kd.

Conversely, if v and w are linearly dependent, then one is a scalar multiple of the other, which means that they lie on the same line and are collinear.

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The correct expression after subtraction is,

⇒ 7/8 - 3/4 = 1/8

Option C is true.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Now, We can all the expressions as,

A). 3/4 - 1/2 = 1/4

LHS;

⇒ 3/4 - 1/2

⇒ (6 - 4) / 8

⇒ 4/8

⇒ 1/2 ≠ 1/4

Hence, It is not true.

B. 9/16 - 4/8 = 5/8

LHS;

⇒ 9/16 - 4/8

⇒ (9 - 8)/16

⇒ 1/16 ≠ 5/8

Hence, It is not true.

C. 7/8 − 3/4 = 1/8

LHS;

⇒ 7/8 - 3/4

⇒ (7 - 6)/8

⇒ 1/8

Hence, It is true.

D. 7/15 − 1/3 = 6/15

LHS;

⇒ 7/15 - 1/3

⇒ (7 - 5)/15

⇒ 2/15 ≠ 6/15

Hence, It is not true.

E. 1/2 − 1/20 = 10/20

LHS;

⇒ 1/2 - 1/20

⇒ (10 - 1)/20

⇒ 9/20 ≠ 10/20

Hence, It is not true.

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The measure of angle A to the neasrest degree is 46°.

Th figure in the image is a right triangle.

To solve for angle A, we use trigonometric ratio

Cosine = adjacent / hypotenuse

Plug in the values and solve for A.

cosA = 7.8/11.2

Take the cos inverse

A = cos⁻¹( 7.8/11.2 )

A = 46°

Therefore, angle A is 46 degrees.

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Answer: 16 lbs.

Step-by-step explanation:

If there are 7 packages and all of the packages weigh the same, then you would divide the number of packages by the total weight of the packages.

112÷7=16. 16 would be the weight of each package individually.

So, the answer is C;16 lbs.

Answer: the probability of being offered both jobs is 0.05, or 5%

Step-by-step explanation:

To solve this problem, we can use the formula:

P(A or B) = P(A) + P(B) - P(A and B)

where P(A or B) is the probability of getting at least one job offer, P(A) is the probability of getting an offer for job A, P(B) is the probability of getting an offer for job B, and P(A and B) is the probability of getting an offer for both jobs.

Substituting the given values, we get:

0.40 = 0.25 + 0.20 - P(A and B)

Solving for P(A and B), we get:

P(A and B) = 0.25 + 0.20 - 0.40 = 0.05

Therefore, the probability of being offered both jobs is 0.05, or 5% (rounded to two decimal places).

about 2.1134 us quarts

Answer:

248 feet

Step-by-step explanation:

Since each curtain is 48 inches long, or 4 feet long, Fabrizio will need:

62 curtains × 4 feet per curtain = 248 feet of fabric

Therefore, Fabrizio's curtain company will need 248 feet of fabric to make 62 curtains.

Answer:

248 feet...

Step-by-step explanation:

Each curtain is 48 inches long, which is 4 feet (since there are 12 inches in a foot). Therefore, 62 curtains will require:

62 curtains x 4 feet per curtain = 248 feet of fabric.

So Fabrizio's curtain company will need to purchase 248 feet of fabric from the store...

To solve this system of equations by elimination, we need to eliminate one of the variables (either x or y) by adding or subtracting the equations.

In this case, we can eliminate x by multiplying the first equation by 2 and subtracting it from the second equation:

2x - 6y = 12    (original second equation)

-2(x - 3y = 7)  (original first equation multiplied by -2)

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

0x - 12y = -2

Now we have a new equation, 0x - 12y = -2, that relates only to y. Solving for y, we get:

0x - 12y = -2

-12y = -2

y = 1/6

Substituting this value of y back into either of the original equations, we can solve for x:

x - 3y = 7

x - 3(1/6) = 7

x - 1/2 = 7

x = 7 + 1/2

x = 15/2

Therefore, the solution to the system of equations is x = 15/2 and y = 1/6.

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Answer:      (-4,-8)

Step-by-step explanation:

Measure of MP is 10 units.

Angle bisector theorem states that if a line segment is drawn from a vertex of a triangle to the opposite side such that it bisects the angle, then the two parts of the opposite side which are divided by the line segment is proportional to the other two sides of the triangle.

Given is a triangle MNO.

Line segment NP bisects the angle MNO.

MO is divided into two segments MP and PO.

By the Angle Bisector Theorem,

MP / PO = MN / ON

Substituting,

MP / 8 = 15 / 12

MP = (15 / 12) × 8

MP = 10

Hence the measure of MP is 10.

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−13w−7

Explanation:
−6w+(−8)+1+(−7w)

Add −8 and 1 to get −7.

−6w−7−7w

Combine −6w and −7w to get −13w.

−13w−7

Answer: -13w-7

-6w - 8 + 1 -7w

-6w + - 8 + 1 + -7w

The cost of fencing the field at ₹ 7.5 per meter is ₹810.

We already know that the area of a rectangle can be calculated using the formula = l*b

We have been told that the rate is ₹ 4 per sq. meter is ₹ 2340 and the breadth is 15 m.

Using these values, we can conclude that -

= l*b * 4 = 2340

= l = 2340 / 60

= l = 39 m

We also know that the perimeter of a rectangle can be calculated using -

= 2(l+b) and the rate of fencing this perimeter is  ₹ 7.5 per meter.

Using the values, we get -

= 2(39+15) * 7.5

= ₹ 810

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Since the rectangular prism holds exactly 24 unit cubes, the volume of the prism is equal to 24 cubic units.

Mathematically, the volume of a rectangular prism can be calculated by using this formula:

Volume = L × W × H

Where:

Generally speaking, the volume of a rectangular prism is directly proportional to the number of unit cubes. Based on the information provided above, we can reasonably infer and logically deduce that volume of this rectangular prism is equal to 24 cubic units because it holds exactly 24 unit cubes.

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The missing values are 81/4 and 9/2, the complete square is x² - 9x + 81/4 = ( x - 9/2 )².

Given square in the question;

x² - 9x + [ ] = ( x - [ ] )²

To complete the square, we use the form ax² + bx + c.

Compare the form to the square;

Now, consider the vertex form of a parabola.

a( x + d )² + e

We find d, using the formula

d = b/2a

Plug in the values

d = -9/(2×1 )

d = -9/2

Next, find the value of e, using the formula

e = c - b²/4a

Plud in the values

e = 0 - (-9)²/(4×1)

e = -81/4

Hence, the complete square will be;

x² - 9x + 81/4 = ( x - 9/2 )²

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