Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14 as
an approximation for x.
• 154 square feet
• 42 square feet
• 419 square feet
•
105 square feet

The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

#14) B) 7 cars

#15) C) 37

Step-by-step explanation:

Hope this helps

According to the question this formula allows us to find the value of \(\(a_n\)\) for any given \(\(n\)\) in the sequence: \(\[a_n = (-1)^n \cdot (a_{n-1} + 3)\]\)

To find the value of \(\(a_n\)\) and derive a formula for the general term \(\(a_n\)\) of the sequence \({4, 1, 2, 5, -8, ...},\) we need to observe the pattern in the given sequence.

Looking at the sequence, we can see that each term alternates between positive and negative. The pattern suggests that the terms may be generated by the formula \(\(a_n = (-1)^n \cdot b_n\), where \(b_n\)\) represents the absolute values of the terms.

Let's consider the absolute values of the terms in the sequence: \({4, 1, 2, 5, 8, ...}.\)

We can observe that \(\(b_n\)\) follows a pattern where each term is obtained by adding 3 to the previous term. Hence, we can express \(\(b_n\)\) using the formula \(\(b_n = b_{n-1} + 3\)\) with an initial value of \(\(b_1 = 4\).\)

Using this information, we can now express the general term \(\(a_n\)\) of the sequence as:

\(\[a_n = (-1)^n \cdot b_n = (-1)^n \cdot (b_{n-1} + 3)\]\)

Substituting \(\(b_1 = 4\)\) into the formula, we have:

\(\[a_n = (-1)^n \cdot (a_{n-1} + 3)\]\)

This formula allows us to find the value of \(\(a_n\)\) for any given \(\(n\)\) in the sequence.

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Answer:

I am not good at those but I am pretty sure its between a or b

Answer:

5128 2/3 m³

Step-by-step explanation:

Cone Volume Formula: πr²h/3

3.14(14²) * 25/3

3.14(196) * 25/3

615.44 * 25/3

15386/25 * 25/3

GCD = 75

46158/75 * 625/75

46158/3 * 25/75

15386/3 * 25/25

15386/3

5128 2/3 m³ is the volume.

Answer:

Step-by-step explanation:

This is a quadrilateral. A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices.

The interior angles of a simple quadrilateral ABCD add up to 360 degrees of arc.

Answer:

Angle x = 40°

Step-by-step explanation:

All angles of any quadrilateral sum up to 360°.

So here, already measure of 3 angles are given.

So if we add up all angles + Angle x then it sums up to 360°.

So, the following steps will lead you to the answer:

73° + 157° + 90° + Angle x = 360°

(Now add up the measure of the three given angles)

320° + Angle x = 360°

(Now, through transposition moves 320° to the RHS) (Remember when transposing the signs change)

Angle x = 360° - 320°

Finally,

Angle x = 40°

Hope it helps!!!

Answer:

3/-4 i think

Step-by-step explanation:

one point is -2/1 and the other 2/-2

1 - -2=3

-2 -2=-4

the solution to the system of equations is x = 2 and y = 1.

To solve the system of equations by substitution, we will solve one equation for one variable and substitute it into the other equation.

Given the system of equations:

1) y = 6x - 11

2) -2x - 3y = -7

Step 1: Solve equation (1) for y.

  y = 6x - 11

Step 2: Substitute the value of y from equation (1) into equation (2).

  -2x - 3(6x - 11) = -7

Step 3: Simplify and solve for x.

  -2x - 18x + 33 = -7

  -20x + 33 = -7

  -20x = -7 - 33

  -20x = -40

  x = (-40)/(-20)

  x = 2

Step 4: Substitute the value of x into equation (1) to find y.

  y = 6(2) - 11

  y = 12 - 11

  y = 1

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

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The solution to the system of equations y = 6x - 11 and -2x - 3y = -7 is x = 2 and y = 1. This is achieved by substituting y into the second equation, simplifying, and solving for x, then substituting x back into the first equation to solve for y.

To solve the system of equations y = 6x - 11 and -2x - 3y = -7 by substitution, we start by substituting the equation y = 6x - 11 into the second equation in place of y, giving us -2x - 3(6x - 11) = -7. Next, simplify the equation by distributing the -3 inside the parentheses to get -2x - 18x + 33 = -7. Combine like terms to get -20x + 33 = -7. Subtract 33 from both sides to obtain -20x = -40, and finally, divide by -20 to find x = 2.

Once we find the solution for x, we substitute it back into the first equation y = 6x - 11. Substituting 2 in place of x gives y = 6*2 - 11, which simplifies to y = 1.

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

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Answer:

Probably c

Step-by-step explanation:

Tbh

2. Using proportion, the value of x = 38, the length of FC = 36 in.

3. Applying the angle bisection theorem, the value of x = 13. The length of CD = 39 cm.

The Angle Bisector Theorem states that in a triangle, an angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides of the triangle.

2. The proportion we would set up to find x is:

(x - 2) / 4 = 27 / 3

Solve for x:

3 * (x - 2) = 4 * 27

3x - 6 = 108

3x = 108 + 6

Simplifying:

3x = 114

x = 114 / 3

x = 38

Length of FC = x - 2 = 38 - 2

FC = 36 in.

3. The proportion we would set up to find x based on the angle bisector theorem is:

13 / 3x = 7 / (2x - 5)

Cross multiply:

13 * (2x - 5) = 7 * 3x

26x - 65 = 21x

26x - 21x - 65 = 0

5x - 65 = 0

5x = 65

x = 65 / 5

x = 13

Length of CD = 3x = 3(13)

CD = 39 cm

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Option (c) is the correct one.

The expression for the given statement i.e. 5 less than twice a number is 3 is 2n - 5 = 3.

Given, a statement

5 less than twice a number is 3

we have to find an expression for the given statement

Let the number be n,

So the twice of the number be 2n,

5 less than twice a number be 2n - 5,

So, the expression for the given statement be

2n - 5 = 3

Hence, the expression for the given statement be

2n - 5 = 3

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Answer:

3.141592653589793238462643383279...

Answer:

3.14159265359 or for short, 3.14

Step-by-step explanation:

It is a number that never repeats the same sequence and consists of over one million numbers and still continuing. Scientists and mathmaticians work to find the end of this seemingly endless number.

It can be used to find information of a circle when placed in a mathmaticle formula.

This number also appears in other forms of mathmatics as well as physics.

These are my own words.

I hope this helps and have a great day!

Control typically arises when an entity has the power to govern the financial and operating policies of another entity to obtain benefits from its activities. In this case, Radiant Age Berhad initially acquired 30% of the ordinary shares of Glitter Berhad on 1 January 2022.

Acquiring 30% of the ordinary shares indicates a significant ownership stake in Glitter Berhad. However, control is not solely determined by the percentage of shares owned. It also depends on the ability to influence the financial and operating policies of the entity.

Given that Radiant Age Berhad holds a substantive option to acquire another 25% of the ordinary shares, it suggests a potential increase in ownership to a total of 55%. However, the option can only be exercised in 40 days, which is on 12 February 2022.

To determine control, we need to evaluate whether Radiant Age Berhad had the ability to govern the financial and operating policies of Glitter Berhad before exercising the option. Factors such as board representation, voting rights, contractual agreements, and the ability to influence key decision-making are crucial in assessing control.

Since the option to acquire the additional 25% of shares can only be exercised after 12 February 2022, Radiant Age Berhad did not have control over Glitter Berhad before that date. Control would only be established if and when the option is exercised, and Radiant Age Berhad obtains the additional shares, bringing their total ownership to 55%.

It's important to note that control is a complex concept, and the specific details of the option agreement and other factors may influence the determination of control. Professional judgment and a detailed analysis of the circumstances would be necessary to arrive at a conclusive assessment of control in this scenario.

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There are numerous ways to grade a class of ten students. There are seven possible grades that could be given (A, B, C, D, F, I, or NC), depending on the grading scheme employed.

This indicates that there are mathematically 7 to the power of 10 (710) distinct methods to give the kids grades. There are approximately 8.3 billion ways to grade the ten pupils, or 8,300,000,000 ways in total.

Because there are seven different grades for each student, this number is extremely high. The number of possible options increases exponentially because there are 10 pupils. As a result, there are countless alternatives for how to assess the 10 kids.

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The example of 2×3 matrix A and a 3×2 matrix B such that, letting T(x)=Ax and U(x)=Bx is reflection Ab.

Matrices, the plural form of matrix, are the groupings of numbers, variables, symbols, or phrases in a rectangular table with varying rows and columns. These are rectangular arrays with specified operations such as addition, multiplication, and transposition. The elements of the matrix are the numbers or entries in it. The horizontal entries of matrices are referred to as rows, whereas the vertical elements are referred to as columns.

Let,

\(B = \left[\begin{array}{cc}0&1\\1&0&0&0\end{array}\right] , A = \left[\begin{array}{ccc}1&0&0\\0&1&0\\\end{array}\right]\)

Then,

\(AB =\left[\begin{array}{ccc}1&0&0\\0&1&0\\\end{array}\right] \left[\begin{array}{cc}0&1&1&0&0&0\\\end{array}\right] \\\\AB = \left[\begin{array}{cc}0&1&1&0\\\end{array}\right]\)

Therefore, Ab is reflection about y = x .

As U = Bx and T∘U    

A matrix is a rectangular array of integers, variables, symbols, or expressions that are defined for subtraction, addition, and multiplication operations. The number of rows and columns in a matrix determines its size (also known as the order of the matrix).          

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Answer:

I think that it is somewhere around 68 because 6 percent of 72 is 4.32.

Step-by-step explanation:

Answer:

$76.77

Step-by-step explanation:

$72 * (1+0.06625) = $76.77

Answer:

Step-by-step explanation:

Use the proportion we have to find the horizontal length:

When y = 10, the value of x is:

\(\\ \sf\longmapsto y=2x\)

Put y=10 in equation

\(\\ \sf\longmapsto 10=2x{/tex]

\(\\ \sf\longmapsto x=\dfrac{10}{2}\)

\(\\ \sf\longmapsto x=5units\)

Answer:

x = -9/8

Step-by-step explanation:

The height of the woman is found to be 79.92 by the forensic scientist.

To find the height of the woman, the forensic scientist needs to first identify the independent variable (the variable that is changing) in the equation. In this case, it is the variable 'f' for G(f) and 't' for H(t). The scientist then needs to substitute the value of the independent variable into the equation. For example, if the scientist knows the value of 'f' is 5, they would substitute it into the equation G(f) to get G(5)=2.57*5+47.29 = 79.79.

Finally, the scientist can use the two equations G(f) and H(t) to solve for the height. To do this, the scientist needs to set the two equations equal to each other and solve for the height. This is done by setting G(f) = H(t) and solving for 'h'.
G(f)=2.57f+47.29 = H(t)=2.74t+61.27
2.57f+47.29 = 2.74t+61.27
2.57f - 2.74t = 61.27 - 47.29
f = (61.27 - 47.29)/2.57
f = 7.49
Therefore, the height of the woman is h = G(7.49) = 2.57*7.49+47.29 = 79.92.

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Answer:

y = 7

Step-by-step explanation:

x = -16 is a vertical line.

All lines perpendicular to a vertical line are horizontal lines. All horizontal lines have a slope of 0

so m = 0,  y = 7, x = -2

y = mx + b

7 = 0(-2) + b

b = 7

so,

y = 0x + 7

y = 7

Answer:

Sohan

Step-by-step explanation:

she was the one who made it faster to do the work!!

The reciprocal of the time it takes to do the work together is the sum of

the reciprocal of the time it takes to do the work individually.

Reasons

Let R represent the number of days it will take Rohan, S, the number of

days it would take Sohan, and M, the number of days it would take Mohan

to do the work alone, we have;

\(\displaystyle \frac{1}{30} = \mathbf{ \frac{1}{R} + \frac{1}{S}}\)...(1)

\(\displaystyle \frac{1}{24} = \mathbf{ \frac{1}{M} + \frac{1}{S}}\)...(2)

\(\displaystyle \mathbf{ \frac{1}{40}} = \frac{1}{R} + \frac{1}{M}\)...(3)

Subtract equation (1) from equation (2) and add the result to equation (3), we have;

\(\displaystyle \frac{1}{24} - \frac{1}{30} =\displaystyle \left( \frac{1}{M} + \frac{1}{S} \right) - \left(\frac{1}{R} + \frac{1}{S}\right) =\displaystyle \left( \frac{1}{M} - \frac{1}{R} \right)\)

\(\displaystyle \frac{1}{24} - \frac{1}{30} + \frac{1}{40} =\displaystyle \left( \frac{1}{M} - \frac{1}{R} \right) + \frac{1}{R} + \frac{1}{M} = \frac{2}{M}\)

\(\displaystyle \mathbf{\frac{1}{24} - \frac{1}{30} + \frac{1}{40}} = \frac{1}{30} = \frac{2}{M}\)

M = 2 × 30 = 60

\(\displaystyle \frac{1}{24} = \mathbf{\frac{1}{M} + \frac{1}{S}}\)

\(\displaystyle \frac{1}{24} = \frac{1}{60} + \frac{1}{S}\)

\(\displaystyle \frac{1}{24} - \frac{1}{60} =\frac{1}{40} = \frac{1}{S}\)

\(\displaystyle \frac{1}{S} = \frac{1}{40}\)

\(\displaystyle \frac{1}{40} = \frac{1}{R} + \frac{1}{M}\)

\(\displaystyle \frac{1}{40} = \mathbf{\frac{1}{R} + \frac{1}{60}}\)

\(\displaystyle \frac{1}{40} - \frac{1}{60} = \frac{1}{120} = \frac{1}{R}\)

Therefore;

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Answer:

$42.50

Step-by-step explanation:

multiply 50 by 0.15 and get 7.50 subtract from 50

Answer:

$42.50

Step-by-step explanation:

Start off by multiplying 50 by .15 (the decimal of 15%), and you get 7.5. Then all you have to do is subtract 7.5 from 50 and you get $42.50!

I hope this helps, and good luck with your assignment! :)

9. The solution is (x, y) = (4/3, -5/3).

10. The solution is (x, y) = (1, 2).

The coefficient matrix is:

| -1  5 |

|  1 -2 |

The determinant of the coefficient matrix is:

|-1  5 |      |-2  5 |

| 1 -2 |  = (-1)(-2) - (5)(1) = 3

The matrix formed by replacing the first column of the coefficient matrix with the constants on the right side of the equation is:

| 2  5 |

|-2 -2 |

The determinant of this matrix is:

| 2  5 |      | -2  5 |

|-2 -2 |  = (2)(-2) - (5)(-2) = -4 + 10 = 6

|-1  2 |

| 1 -2 |

The determinant of this matrix is:

|-1  2 |     | 1  2 |

| 1 -2 | = (-1)(-2) - (2)(1) = 2

Using Cramer's rule:

x = |2  5| / 3 = 4/3

   |-2 -2|

y = |-1 2| / 3 = -5/3

   |1 -2|

10.The coefficient matrix is:

| -5 -5 |

| -2 -4 |

The determinant of the coefficient matrix is:

|-5 -5 |      |-2 -5 |

|-2 -4 |  = (-5)(-4) - (-5)(-2) = -10

The matrix formed by replacing the first column of the coefficient matrix with the constants on the right side of the equation is:

| 25 -5 |

| 16 -4 |

The determinant of this matrix is:

| 25 -5 |     | 16 -5 |

| 16 -4 | = (25)(-4) - (-5)(16) = -100 + 80 = -20

|-5 25 |

|-4 16 |

The determinant of this matrix is:

|-5 25 |     |-4 25 |

|-4 16 | = (-5)(16) - (25)(-4) = -80 -(-100) = 20

Using Cramer's rule:

x = |-5 -5| / -10 = 1

   |-2 -4|

y = |-5 25| / -10 = 2

   |-4 16|

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The length of BD in the triangle is 24 units.

The triangles are similar by angle bisector theorem. The angle bisector theorem states that the angle bisector of an angle of a triangle divides the opposite side into two parts that are proportional to the other two sides of the triangle.

Therefore, let's find BD.

Hence, using the proportion,

12  / 20 = x / x + 6

cross multiply

12(x + 6) = 20x

12x + 72 = 20x

72 = 20x - 12x

72 = 8x

divide both sides by 8

x = 72  /8

x = 9

Therefore,

BD = x + x + 6 = 2x + 6

BD = 2(9) + 6

BD = 18 + 6

BD = 24 units

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Answer:

12

563 - (563x0.25) = 422.25 -> 422

16

422 -(422x0.25) = 316.5 -> 317

20

317 - (317x0.25) = 237.75 -> 238

24

238 - (238x0.25) = 178.5 -> 179

28 (continue the step by step process)

134.25 -> 134

32

100.5 -> 101

36

75.75 -> 76

40

57

44

42.75 -> 43

48

32.25 -> 32

52

24

56

18

Step-by-step explanation:

the time interval has to keep skipping by four hours because the medicine is filtered in that amount of time.

The multiplying by 0.25 part must be done first in order to show how much the kidney has filtered.

after this, you need to subtract that from how many milligrams of medicine are left in your system

note that if you do not subtract, you will only be showing how much the kidney has filtered. the question asks for how much is left in the SYSTEM overall, so subtracting is quite necessary to completely answer the question.

I hope this helped.

Answer:

12 cups

Step-by-step explanation:

1 quart is 4 cups, so 4 x 3= 12 and 1 x 3 = 3.. Good Luck!

Answer:

11

Step-by-step explanation:

The formula for area is l * w = a (length * width = area)

4 is our length, and 44 is the area, so the equation turns to this:

4 * x = 44

To solve for x, just divide 44 by 4.

44 / 4 = 11.

Now we enter that into our equation so it looks like this:

4 mm * 11 mm = 44 mm^2.

Hope this helped :)

The most conservative cutover method when converting to a new system is the Phased Cutover.

This method allows for the implementation of the new system in multiple stages, thereby reducing risk. First, the new system is installed and tested. Next, a small portion of data is moved to the new system.

After data is moved, the new system is tested again. This process is repeated until all data has been moved and tested, and the new system is running smoothly.

Once the new system is running successfully, the old system is discontinued.

The phased cutover method ensures that the new system is functioning correctly, and gives time for system users to get used to the new system, before the old system is turned off.

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The interest rate earned in 3 years if compounded annually to the nearest cent is $9,944.74

Principal = $7,247

Time = 3 years

Interest rate = 11 1/8%

= 11.125%

r = 11.125/100

r = 0.11125 rate per year,

A = P(1 + r/n)^(nt)

A = 7,247.00(1 + 0.11125/1)^(1)(3)

A = 7,247.00(1 + 0.11125)^(3)

A = $9,944.74

In conclusion, $9,944.74 is the interest rate earned.

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When Alonzo splits 3/4 pounds of candy among 4 people the unit rate in pounds per person is 3/16 pounds per person

The ratio of two measures, with one as the second of the item, is known as unit rate.

For the problem where Alonzo have to split 3/4 pounds of candy, the  unit rate is solved by division.

In this case, Alonzo will divide each the 3/4 pounds by 4 to get a value of which is the unit rate

The unit rate of candy in pounds per person

= 3/4 pounds / 4 persons

= 3/16 pounds per person

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