compare the decimal form of 2/5 and 4/9

Answer:

see photo attached for analysis

We should choose Formulas as X in the given series of clicks to calculate formulas automatically.

File < Options < (A) Formulas < Automatic

We should choose Formulas as X in the given series of clicks to calculate formulas automatically.

Therefore, File < Options < (A) Formulas < Automatic

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The complete question is given below:

What would you choose as X in the given series of clicks to calculate formulas automatically: File < Options < X < Automatic?

a. Formulas

b. Language

c. Proofing

d. Advanced

To find a differentiable function y(x) that satisfies the initial value problem (IVP) y' = |x| and y(-1) = 2, we can integrate the given differential equation and then apply the initial condition.

Integrating both sides of the differential equation y' = |x| with respect to x, we get:

∫ y' dx = ∫ |x| dx

Integrating ∫ y' dx gives us y(x) + C₁, where C₁ is an arbitrary constant of integration.

Integrating ∫ |x| dx involves considering the different cases for x. Since x > 0 (as given in the problem), we have:

∫ |x| dx = ∫ x dx (for x > 0)

= (x^2)/2 + C₂, where C₂ is another arbitrary constant of integration.

Now, we have:

y(x) + C₁ = (x^2)/2 + C₂

To determine the values of C₁ and C₂, we can use the initial condition y(-1) = 2:

y(-1) + C₁ = ((-1)^2)/2 + C₂

2 + C₁ = 1/2 + C₂

Simplifying further:

C₁ = 1/2 - 2 + C₂

C₁ = C₂ - 3/2

We can rewrite the equation for y(x) by substituting C₁ with C₂ - 3/2:

y(x) = (x^2)/2 + (C₂ - 3/2)

Therefore, a differentiable function that satisfies the given IVP y' = |x| and y(-1) = 2 is:

y(x) = (x^2)/2 + (C₂ - 3/2), where C₂ is an arbitrary constant.

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Answer: 22.9890 is the answer

Answer:

23.0 will be your answer.

Step-by-step explanation:

When you round to the nearest tenth, you go one decimal place past the decimal. This is the number that will be rounded up or stays the same.

Then we go to 1 decimal place past that one. This number determines if the number will round up or stay. If the number is 5 and greater, then it will make the number before round-up. If the number is 4 or less, then the number will stay the same.

In this case, the 8 will make the 9 round up, resulting in the 9 become a "10", and that one gets added to the 2, or the next digit to the left.

#teamtrees #WAP (Water And Plant)

Pred Brown & Sons would need to raise an additional capital of $12.3 million to support the 30 percent increase in sales.

To calculate the additional funds needed (AFN) using the AFN formula, we can use the following equation:

AFN = (S1 - S0) × (A/S0) - (L/S0) - (M × S1)

Where:

S1 is the projected sales for the next year

S0 is the current sales

A* is the target asset-to-sales ratio

L* is the target liability-to-sales ratio

M is the retention ratio (1 - dividend payout ratio)

Given information:

Current sales (S0) = $500 million

Projected sales increase = 30%

Current total assets = $400 million

Dividend payout ratio = 60%

First, calculate the projected sales for the next year:

S1 = S0 × (1 + sales increase)

S1 = $500 million × (1 + 30%)

S1 = $650 million

Next, calculate the AFN:

AFN = (S1 - S0) × (A*/S0) - (L*/S0) - (M × S1)

AFN = ($650 million - $500 million) × ($400 million/$500 million) - ($15 million/$500 million) - (0.4 × $650 million)

AFN ≈ $12.3 million

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Answer:

Step-by-step explanation:

The question is lacking appropriate diagram. Find the diagram to the question attached.

From the diagram, it can be seen that AD = AB+BC+CD

Given the following

AD = 23units

AB = 4units

CD = 12units

To get C=BC, we will substitute the given segments into the expression above as shown;

23 = 4+BC+12

23 = BC + 4 + 12

23 = BC+16

Subtract 16 from both sides

23-16 = BC+16-16

7 = BC

Hence the length of segment BC is 7units.

Answer: the 4th boy is 11

Step-by-step explanation:

Let's denote the age of the boys as: x₁, x₂, x₃, x₄.

Then,

\(\displaystyle\\\frac{x_1+x_2+x_3}{3}=15\)

Multiply both parts of the equation by denoting by 3:

x₁+x₂+x₃=15(3)

x₁+x₂+x₃=45

Hence,

\(\displaystyle\\\frac{x_1+x_2+x_3+x_4}{4} =14\\\\\frac{(x_1+x_2+x_3)+x_4}{4} =14\\\\\frac{45+x_4}{4}=14\)

Multiply both parts of the equation by denoting by 4:

45+x₄=14(4)

45+x₄=56

45+x₄-45=56-45

x₄=11

Answer:

6

Step-by-step explanation:

x=6

ax+bx=cx

10+bx=16

10+6=16

x=6

The dimensions of the poster are 17 inches by 4 inches.

Let's assume the width of the rectangular poster is represented by "x" inches.

According to the given information, the length of the poster is 9 more inches than two times its width. So, the length can be represented as 2x + 9 inches.

The area of a rectangle is given by the formula: Area = Length * Width.

Substituting the given values, we have:

68 = (2x + 9) * x

To solve this equation, we can start by simplifying the equation:

68 = 2x^2 + 9x

Rearranging the equation to bring all terms to one side, we get:

\(2x^2 + 9x - 68 = 0\)

To solve this quadratic equation, we can use factoring, completing the square, or the quadratic formula. In this case, factoring is not straightforward, so we can use the quadratic formula:

x = (-b ± √\((b^2 - 4ac\))) / (2a)

In the equation\(2x^2 + 9x - 68 = 0,\) the values of a, b, and c are:

a = 2

b = 9

c = -68

Substituting these values into the quadratic formula, we get:

x = (-9 ± √\((9^2 - 42(-68)))\) / (2*2)

Simplifying further:

x = (-9 ± √(81 + 544)) / 4

x = (-9 ± √625) / 4

x = (-9 ± 25) / 4

Now, we can calculate the two possible values for x:

x1 = (-9 + 25) / 4 = 16 / 4 = 4

x2 = (-9 - 25) / 4 = -34 / 4 = -8.5

Since the width cannot be negative, we discard the negative value of x.

Therefore, the width of the rectangular poster is 4 inches.

Now, we can calculate the length using the expression 2x + 9:

Length = 2(4) + 9 = 8 + 9 = 17 inches.

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Area of the plane figure is 50 mm².

Given figure comprises of triangle and rectangle. To calculate the total area of figure divide the figure into triangle and rectangle.

Firstly, calculate the area of triangle,

Area of triangle= 1/2×b×h

b= base of triangle

h= height of triangle

Substitute the values of base and height in the formula,

b= 5mm

h= 6mm

Area of triangle= 1/2×5×6

                         = 15 mm²

Next we will calculate area of rectangle,

Area of Rectangle = l×b

l= length of rectangle

b= breadth of rectangle

Substitute the values of length and breadth in the formula,

l= 5mm

b= 7mm

Area of Rectangle= 5×7

                            = 35 mm²

Total area of the figure= Area of triangle + Area of rectangle

Total area= 15 mm² +35 mm²

Total area = 50 mm²

Total area of the given figure is 50 mm².

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Answer:

Since 10% like neither, then 90% must like tea(T), coffee(C) or both(B). So what % like both? That % would have to be deducted from both the tea and coffee likers to arrive at tea only (TO), coffee only (CO) and those liking both and the three would have to sum to 90%, since 10% like neither. So whatever % the 120 represents it must be deducted from both the tea and coffee likers. I don’t know how to add graphics but in equation form

50-x + 70-x + x + 10 = 100, 130-x = 100, -x = -30, X = 30%,

120/30% = 400, 50%(T)-30%(B)=20%(TO) or 80, 70%-30%=40% or 160, 30% or 120, and 10% or 40

80+160+120+40=400

Answer:

Step-by-step explanation:

  50%        70%                 10%

like tea    like coffee      don't like both

100%-10% =90%

                   like coffee,tea or both

   50%  +   70%         =120%  -   90%   =   30%

like tea + like coffee  =          -           =    like both

LIKE BOTH           30%=`120

means 1%=4

100%=400

Answer:

44,15,29

Step-by-step explanation:

8 + 11 + 25 + p=

simplify

44 + p

8 + 11 + 25 + p = 15

p=29

but your real answer for p is p= 44

Hence the given statement if p is an invertible m x m matrix, then rank PA = rank A is proved.

what is invertible matrix?

An invertible matrix is a matrix for which matrix inversion operation exists, given that it satisfies the requisite conditions.

proof:

Let A be an m × m matrix and P be an invertible m × m matrix.

We know that Rank(A) is the number of non-zero rows in A based on the definition of matrix rank.

Therefore,

Rank(PA) = Number of non-zero rows in PA

Therefore,

Rank(PA) = Number of non-zero rows in PA

               = Number of non-zero rows in A

               = Rank(A)

Hence, we can conclude that if P is an invertible m × m matrix, then Rank(PA) = Rank(A).

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The following are the solution to the given inequalities;

-13 < 4x + 7 ; -5 < x

-2x + 7 < 19 ; x > -6

-45 < 5(p - 2) ; -7 < p

21 < -7(x - 2) ; -1 > x

-9x + 10 > -8 ; x < 2

2 - 6 < 3 ; -4 < 3

-13 < 4x + 7

combine like terms

-13 - 7 < 4x

-20 < 4x

divide both sides by 4

-5 < x

-2x + 7 < 19

combine like terms

-2x < 19 - 7

-2x < 12

x < 12/-2

x > -6

When dividing inequality with negative, the inequality sign will flip.

-45 < 5(p - 2)

open parenthesis

-45 < 5p - 10

-45 + 10 < 5p

-35 < 5p

-7 < p

21 < -7(x - 2)

21 < -7x + 14

21 - 14 < -7x

7 < -7x

divide both sides by -7.

-1 > x

-9x + 10 > -8

-9x > -8 - 10

-9x > -18

x > -18/-9

x < 2

2 - 6 < 3

-4 < 3

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The equation of the plane passing through the points \((0, 6, 6), (6, 0, 6), and (6, 6, 0)\) is \(36x + 36y + 36z = 432\).

To find the equation of the plane passing through the points \((0, 6, 6), (6, 0, 6), and (6, 6, 0)\), we can use the point-normal form of the equation of a plane.

Step 1: Find two vectors in the plane.

Let's find two vectors by taking the differences between the given points:

Vector v₁ = \((6, 0, 6) - (0, 6, 6) = (6, -6, 0)\)

Vector v₂ = \((6, 6, 0) - (0, 6, 6) = (6, 0, -6)\)

Step 2: Find the normal vector.

The normal vector is perpendicular to both v₁ and v₂. We can find it by taking their cross product:

Normal vector n = v₁ \(\times\) v₂ = \((6, -6, 0) \times (6, 0, -6) = (36, 36, 36)\)

Step 3: Write the equation of the plane.

Using the point-normal form, we can choose any point on the plane (let's use the first given point, \((0, 6, 6)\)), and write the equation as:

n · (x, y, z) = n · (0, 6, 6)

Step 4: Simplify the equation.

Substituting the values of n and the chosen point, we have:

(36, 36, 36) · (x, y, z) = (36, 36, 36) · (0, 6, 6)

Simplifying further:

\(36x + 36y + 36z = 0 + 216 + 216\\36x + 36y + 36z = 432\)

Therefore, the equation of the plane passing through the given points is:

\(36x + 36y + 36z = 432\)

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Answer:

-27

10x +8.

Step-by-step explanation:

x² - 9 ÷ x² - 4x - 5

=x²+5x+4 x² - 2x - 15

x² - 9 × x² - 2x - 15

=x² +5x +4 x² - 4x - 5

-9 × 3

=5x. 4. 2

-27.

=10x + 8 .

a) The vector D=(5,4,-3) can be written as a linear combination of the vectors in A. Specifically, D = 2 * (1,-2,-5) + 1 * (2,5,6).

b) The set of vectors B is linearly independent because the only solution to the equation involving B is x = y = z = 0.

c) The set of vectors B is a basis for ℝ³. It is linearly independent, as shown in part b), and it spans the entire ℝ³, as any vector in ℝ³ can be expressed as a linear combination of the vectors in B.

a) To determine if vector D=(5,4,-3) can be written as a linear combination of the vectors in A, we need to check if there exist scalars x and y such that:

x * (1,-2,-5) + y * (2,5,6) = (5,4,-3).

Setting up the equations based on each component, we have:

x + 2y = 5,

-2x + 5y = 4,

-5x + 6y = -3.

We can solve this system of equations to find the values of x and y. By performing row reduction or using other techniques, we find that x = 2 and y = 1 satisfy all three equations.

Therefore, D=(5,4,-3) can be written as a linear combination of the vectors in A: D = 2 * (1,-2,-5) + 1 * (2,5,6).

b) To show that B is linearly independent, we need to demonstrate that the only solution to the equation:

x * (4,4,2) + y * (-4,-6,5) + z * (8,0,0) = (0,0,0),

where x, y, and z are scalars, is x = y = z = 0.

Setting up the equations based on each component, we have:

4x - 4y + 8z = 0,

4x - 6y = 0,

2x + 5y = 0.

Solving this system of equations, we find that the only solution is x = y = z = 0.

Therefore, B is linearly independent.

c) To show that B is a basis for ℝ³, we need to demonstrate that B is linearly independent and spans the entire ℝ³.

We have already shown in part b) that B is linearly independent. To show that B spans ℝ³, we need to show that any vector in ℝ³ can be expressed as a linear combination of the vectors in B.

Let (x, y, z) be an arbitrary vector in ℝ³. We want to find scalars a, b, and c such that:

a * (4,4,2) + b * (-4,-6,5) + c * (8,0,0) = (x, y, z).

Setting up the equations based on each component, we have:

4a - 4b + 8c = x,

4a - 6b = y,

2a + 5b = z.

By solving this system of equations, we can find the values of a, b, and c that satisfy all three equations. Since B is linearly independent, there exists a unique solution to this system of equations for every vector in ℝ³.

Therefore, B is a basis for ℝ³.

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Mr. Kinders will have $83,858.77 in the RRSP after 20 years. The interest earned over this period will amount to $43,858.77.

To calculate the future value of Mr. Kinders' RRSP, we can use the formula for compound interest:

Future Value (FV) = P * (1 + r/n)^(nt)

Where:

P = Monthly contribution = $200.00

r = Annual interest rate = 3% = 0.03 (expressed as a decimal)

n = Number of compounding periods per year = 4 (quarterly compounding)

t = Number of years = 20

Substituting these values into the formula, we can calculate the future value:

FV = $200 * (1 + 0.03/4)^(4*20)

FV ≈ $83,858.77

Therefore, Mr. Kinders will have approximately $83,858.77 in the RRSP after 20 years.

To calculate the amount of interest earned, we can subtract the total contributions made from the future value:

Interest = FV - Total Contributions

The total contributions can be calculated by multiplying the monthly contribution by the number of months (20 years * 12 months/year = 240 months):

Total Contributions = $200 * 240

Total Contributions = $48,000

Substituting the values into the formula, we can calculate the interest:

Interest = $83,858.77 - $48,000

Interest ≈ $35,858.77

Therefore, the amount of interest earned in the RRSP over 20 years is approximately $43,858.77.

After 20 years of contributing $200 per month to his RRSP, compounded quarterly at an interest rate of 3% per annum, Mr. Kinders will have approximately $83,858.77 in his RRSP.

The interest earned during this period will amount to approximately $43,858.77. Compound interest calculations allow individuals to estimate the growth of their investments over time and make informed financial decisions.

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the turning point(s) of a polynomial function by using below steps

To find the turning point of a polynomial function, follow these steps:

1. Determine the degree of the polynomial. The turning point will occur in a polynomial of odd degree (1, 3, 5, etc.) or at most one turning point in a polynomial of even degree (2, 4, 6, etc.).

2. Write the polynomial function in the form f(x) = axⁿ + bxⁿ⁻¹ + ... + cx + d, where n represents the degree of the polynomial and a, b, c, d, etc., are coefficients.

3. Find the derivative of the polynomial function, f'(x), by differentiating each term of the function with respect to x. This will give you a new function that represents the slope of the original polynomial function at any given point.

4. Set f'(x) equal to zero and solve for x to find the x-coordinate(s) of the turning point(s). These are the values where the slope of the polynomial function is zero, indicating a potential turning point.

5. Substitute the x-coordinate(s) obtained in step 4 into the original polynomial function, f(x), to find the corresponding y-coordinate(s) of the turning point(s).

6. The turning point(s) of the polynomial function is given by the coordinates (x, y), where x is the x-coordinate(s) found in step 4 and y is the y-coordinate(s) found in step 5.

By following these steps, you can find the turning point(s) of a polynomial function.

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The blood test for determining coagulation activity defects is called the Prothrombin Time (PT) test.

The blood test for determining coagulation activity defects is called the Prothrombin Time (PT) test. This test measures the time it takes for blood to clot and is used to assess the functioning of the clotting factors in the blood. It is commonly used to evaluate the extrinsic pathway of the coagulation cascade, which involves factors outside of the blood vessels.

The PT test is an important diagnostic tool in hematology and is used to diagnose or monitor conditions that affect blood clotting, such as bleeding disorders or the effectiveness of anticoagulant medications. By measuring the PT, healthcare professionals can determine if there are any abnormalities in the coagulation process and make appropriate treatment decisions.

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Answer:

The answwe is B.

Step-by-step explanation:

When you substitute x = 5 into the expression, ypu will get 37.

Prime number is a number that has only 2 factors, one and itself.

So 37 is a prime number.

Answer: is b

Step-by-step explanation:

hope that help

A relation could be a function or it could not. Since b. (6, 8) and d. (4, 3), the connection would no longer be a function.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

You can choose the components of combos in any order.

Permutations and combinations can be mixed up.

So, given is the ordered pair:

(x, y) = (1, 2); (2, 3); (4, 5); (6, 7); (12, 13)

All of the x-values in a relation must be distinct for it to be a function (i.e. no repetition)

The x values of choices (b) and (d) already exist in the ordered pair, namely (6,7) and (d), from the list of alternatives given (4,5)

Accordingly, (b) and (d) would prevent the relation from being a function.

Therefore, a relation could be a function or it could not. Since b. (6, 8) and d. (4, 3), the connection would no longer be a function.

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Correct question:

A bakery sells different packages of muffins. The number of muffins, x, and the price in dollars, y, of their packages of muffins are given in the ordered pairs below. The set of ordered pairs is a relation that is also a function.

{(1,2),(2,3),(4,5),(6,7),(12,13)}

The bakery is considering adding a new package of muffins. which ordered pairs would make the relation NOT a function? Choose all that are correct.

a. (10,13)

b. (6,8)

c. (8,12)

d. (4,3)

e. (24,18)

Answer: 163.2 cm^2

(4*7.2) + (7.2*12) + (12*4)

28.8 + 86.4 + 48

163.2

If that is the answer your looking for then brainliest pwease! <3

The two numbers are x = 3.43 and y = 22.57.

What is a linear equation in two variables?

An equation is said to be a linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Let the first number be x and the second number be y. Then we can write the given information as a system of equations:

x + y = 26

(2/5)x + (3/8)y = 10

To solve this system, we can eliminate one of the variables by multiplying the first equation by 8 and the second equation by 5, then subtracting the resulting equations:

8x + 8y = 208

10x + 15y = 50

Subtracting these equations gives us:

-2x - 7y = -158

Dividing both sides by -7, we get:

x + y = 22.57

Substituting this back into the first equation, we get:

x + 22.57 = 26

Solving for x, we get:

x = 26 - 22.57

= 3.43

Substituting this back into the original equation x + y = 26, we get:

3.43 + y = 26

Solving for y, we get:

y = 26 - 3.43

= 22.57

Hence, the two numbers are x = 3.43 and y = 22.57.

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The new values for the mean and standard deviation are M = 150 and s = 15. (1)

When every score in a sample is multiplied by a constant factor, the mean of the sample is also multiplied by the same constant factor. So, the new mean would be 3 * m = 3 * 50 = 150.

However, the standard deviation is not affected by multiplying every score in a sample by a constant factor. To see why this is the case, consider that the standard deviation is a measure of the spread of the scores around the mean.

Multiplying every score in a sample by a constant factor stretches or shrinks all of the scores by the same amount, so the spread of the scores around the mean remains unchanged.

Therefore, the new standard deviation would be the same as the original standard deviation, s = 5. So, the new values for the mean and standard deviation are M = 150 and s = 15.

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Answer:

2 root 10/ 7, or the second option.

Step-by-step explanation:

If a is 3, then b is root 40. (Pythagorean)

root 40= root 4x10, or 2 root 10

Tangent= opposite/hypotenuse

Tangent= 2 root 10/ 7

Answer:

please need to see your statement

The product of (− 7) ( 14 ) multiplied by ( −6 ) will be C. 588.

A product simply means the value that's gotten when the numbers are multiplied together. Addition, subtraction, multiplication, and division are all possible mathematical operations.

It should be noted that minus × minus = plus

minus × plus = minus

Therefore, the value of ( −7 ) ( 14 ) • ( −6 ) will be:

= ( -7 ) × 14 × ( -6 )

= 588

Therefore, the value of the product is 588 and this implies that the correct option is C.

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The probability that a randomly selected point of the diagram lies within the circular region as requested in the task content is; π/4.

It follows from the task content that the probability that a randomly selected point of the diagram lies within the circular region is to determined.

This probability in discuss is equal to the ratio of the area of the circle to the area of the rectangle.

Consequently, the area of the circle is equal to;

πr².

However, since the side length of the square, which is the diameter of the circle is; 2r; it follows that it's area is;

2r × 2r = 4r².

Therefore, the probability is; πr²/4r².

When expressed in its simplest exact form, we have;

π/4.

Therefore, The probability that a randomly selected point of the diagram lies within the circular region as requested in the task content is; π/4.

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Answer:

26

Step-by-step explanation:

w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26

3/4 and 5 18 is fraction have a leat common denominator of 36.

3/4 and 5 18 is fraction have a leat common denominator of 36.

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