Which of the following is equivalent to 2/5 x 3/8?
A. 3/8 / 2/5
B. 2/5 / 3/8
C. 2/5 / 8/3
D. 5/2 / 8/3

John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Let's start by setting up the equations to solve for this problem.

Let x be the amount of money John had initially.

Then, Mary had (384 - x) initially.

After John gave Php 36 to Mary, John had (x - 36) left and Mary had (384 - x + 36) = (420 - x).

We are told that Mary had three times as much money as John after this transaction, so we can write:

3(x - 36) = 420 - x

Simplifying this equation gives:

3x - 108 = 420 - x

4x = 528

x = 132

Therefore, John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Answer: Mary had Php 252 at first.

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Answer:

x^4  ⋅ (x−5)⋅(3x+4)

Step-by-step explanation:

Answer:

322x

Step-by-step explanation:

if you do 3·3·3·3·3·3 you would get 729

then you would do 11·11·11·11·11 you would get 161051

finally you would do 20·20·20·20 to get 160000

finally you would subtract all those together to get 322 then you would just add the x to get the final answer of 322x

The number of ways to arrange x successes among n trials is equal to  (  n! ) / ( x! ( n - x )! ) .

We need o find the number of  ways to arrange x successes among n trials. And to find  the number of  ways to arrange x successes among n trials we will use the formula mentioned below;

(  n! ) / ( x! ( n - x )! )

Here, to find the value of n! and x! we can use the formula mentioned below;

n! = n × ( n -1 ) ×  ( n - 2 ).............. ×1

x! = x (x - 1) ( x - 2 ).............×1

Thus, we can conclude that  (  n! ) / ( x! ( n - x )! ) represents the number of ways to arrange x successes among n trials.

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If each is a 4-digit number beginning with 1 that has exactly two identical digits , then there are 432 such numbers .

In the question ,

Suppose  that the two identical digits are both 1.

and since the thousands digit must be 1, only one of the other three digits can be 1. This means that the  possible forms for the required numbers are

11xy , 1x1y , 1xy1  ,

Because the number must have exactly two identical digits, x ≠ y, x ≠ 1, and y ≠ 1.

Hence, Of this form there are 3 × 9 × 8 = 216 numbers .

Now suppose that two identical digits are not 1 , we will have the following possibilities:

1xxy , 1xyx , 1yxx

Again, x ≠ y , x ≠ 1 , and y ≠ 1 .

Of this form there are 3 × 9 × 8 = 216 numbers .

So , the total numbers are 216 + 216 = 432 .

Therefore , the total  numbers are 432 .

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If the correlation between the response variable and the explanatory variables is sufficiently low, the adjusted R-squared may be close to or lower than zero.

Adjusted R-squared is a statistical measure that assesses the goodness of fit of a regression model. It adjusts the R-squared value to account for the number of predictors (explanatory variables) in the model.

Adjusted R-squared takes into consideration the sample size and the complexity of the model, penalizing the inclusion of unnecessary predictors.

R-squared represents the proportion of the variance in the response variable that can be explained by the predictors. It ranges from 0 to 1, with higher values indicating a better fit. However, R-squared can be inflated by including irrelevant or weak predictors in the model.

When the correlation between the response variable and the explanatory variables is low, it suggests that the predictors are not strongly related to the response variable.

In this case, the model may not provide a good fit to the data, and the R-squared value may be low. Adjusted R-squared takes into account the low correlation and the number of predictors, and it can be close to or even lower than zero.

A low or negative adjusted R-squared indicates that the model does not explain much of the variation in the response variable and may not be useful for making predictions or drawing conclusions.

It suggests that there may be other factors or variables that are more relevant in explaining the variation in the response variable.

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Answer:

Community

Step-by-step explanation:

did it on edge

1. Determining the number of significant figures in given measurements:

a. 143 g - It contains three significant figures since each digit is measured and identified by the observer.

b. 0.074-meter - It contains two significant figures since 0 before the first non-zero digit (7) doesn't add any value.

c. 8.750 × 10−2 g - It contains four significant figures since all the non-zero digits are significant.

Also, the scientific notation indicates that the zeros on the left side are not significant.d. 1.072 meter - It contains four significant figures since each digit represents a measured value and is essential.

2. Out of the following values, - kg, s, m, or kmSolution:In the given options, kg represents the unit of mass, s represents the unit of time, m represents the unit of length, and km represents the unit of length (kilometer).Therefore, kg is not a unit of length.

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Mrs. Hough would need 31.5 feet of fencing for the other three sides of the garden.

To calculate the amount of fencing needed for Mrs. Hough's raised garden, we first need to determine the dimensions of the garden.

Since the garden is next to a 13.5 ft fence, we know that one side of the garden is 13.5 ft.

Let's assume the other two sides of the garden have lengths x and y.

The area of the garden is given as 121.5 sq ft, so we have the equation:

x × y = 121.5

To find the dimensions of the garden, we can solve this equation. One possible solution is x = 9 ft and y = 13.5 ft.

Therefore, the dimensions of the garden are 9 ft by 13.5 ft.

Now, to calculate the amount of fencing needed, we add up the lengths of the three sides (excluding the side next to the fence):

Fencing needed = x + y + x = 9 ft + 13.5 ft + 9 ft = 31.5 ft

Mrs. Hough would need 31.5 feet of fencing for the other three sides of the garden.

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To determine whether the series converges or diverges, we need to analyze the given series. The series is:

Σ (5^n / (4n - 2)), from n = 1 to infinity.

To check for convergence, we can apply the Ratio Test, which involves finding the limit of the ratio between consecutive terms. Let's denote the term a_n as (5^n / (4n - 2)). Then, we'll compute the limit as n approaches infinity:

lim (n→∞) (a_(n+1) / a_n) = lim (n→∞) ((5^(n+1) / (4(n+1) - 2)) / (5^n / (4n - 2)))

Simplifying this expression, we get:

lim (n→∞) (5^(n+1) / 5^n) * ((4n - 2) / (4(n+1) - 2))

The first part of the limit simplifies to:

lim (n→∞) 5 = 5

The second part of the limit becomes:

lim (n→∞) ((4n - 2) / (4n + 2)) = 1

Multiplying both limits, we get:

5 * 1 = 5

Since the limit is greater than 1, the Ratio Test indicates that the series diverges.

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Answer:

hey here is ur answer

the perimeter of a square = 4* side

4*s=14

S = 14/4

s= 7/2 or 3.5

area = side * side

area = (7/2) sq

area = 12.25sq m

Step-by-step explanation:

Angle DGO: Vertical ->13 (no letter), supplement PGD marked as L

Angle 12: Vertical-> HOG marked as K

Angle 2: Vertical -> ICK (not in table). Supplement #15, letter E

Angle 28: Vertical #8, letter E

Angle 31: Vertical #19, letter W

Angle GRV: Supplement #19, letter E

Angle 21: Supplement #7, letter I

Angle 22: Vertical #17, letter H

Angle 32: Supplement #17, letter T

Checking previous answers.....

Angle 4: Vertical ORY, letter H. Correct

Angle RKV: Supplement VKA, letter E. Correct

Angle 26: Vertical #7, letter D. Correct

Angle 24: Supplement #8, letter I. Correct

Angle 26: Vertical #7, letter D. Correct

Angle 18: Vertical VKA, letter N. Correct

Angle 29: Supplement HOG, letter T. Correct

Angle YRV: Supplement ORY, letter I. Check!!

Angle 27: Vertical #15, letter T. Correct

Angle 4 (already checked).

Angle EGJ: Vertical PGD, letter G. Correct

The answers to the questions on linear combination have been solved below

1. We can start by multiplying both sides by -2 to eliminate the x-term:

2x + 4y = 0

-2(2x + 4y) = -2(0)

-4x - 8y = 0

Now, we have:

-4x - 8y = 0

9x + 4y = 28

We can now use linear combination by adding these two equations to eliminate the y-term:

(-4x - 8y) + (9x + 4y) = 0 + 28

5x = 28

Dividing both sides by 5, we get:

x = 28/5

Now, we can substitute this value of x into either of the original equations to solve for y. Let's use the second equation:

2x + 4y = 0

2(28/5) + 4y = 0

56/5 + 4y = 0

4y = -56/5

y = -14/5

Therefore, the solution to the system of equations is:

x = 28/5

y = -14/5

We can check that these values satisfy both equations:

9x4y = 28

9(28/5)(-14/5) = 28

-352/25 = 28/25 (true)

2x + 4y = 0

2(28/5) + 4(-14/5) = 0

56/5 - 56/5 = 0 (true)

Therefore, the solution is verified.

2. The system of equations is:

5x + 3y = 41

3x - 6y = 9

We can simplify the second equation by dividing both sides by 3:

3x - 6y = 9

x - 2y = 3

Now we can use linear combination by multiplying the first equation by 2 to eliminate the y-term:

2(5x + 3y) = 2(41)

10x + 6y = 82

(x - 2y) + (10x + 6y) = 3 + 82

11x = 85

Dividing both sides by 11, we get:

x = 85/11

Now we can substitute this value of x into either of the original equations to solve for y. Let's use the first equation:

5x + 3y = 41

5(85/11) + 3y = 41

425/11 + 3y = 41

3y = 41 - 425/11

3y = (451 - 425)/11

y = 26/33

Therefore, the solution to the system of equations is:

x = 85/11

y = 26/33

We can check that these values satisfy both equations:

5x + 3y = 41

5(85/11) + 3(26/33) = 41

425/11 + 26/11 = 41

451/11 = 41 (true)

3x - 6y = 9

3(85/11) - 6(26/33) = 9

255/11 - 52/11 = 9

203/11 = 9 (true)

Therefore, the solution is verified.

3.

3(x - 2y) = 3(-8)

3x - 6y = -24

3x - 6y = -12

3x - 6y = -24

Subtracting the second equation from the first equation, we get:

0 = 12

This is a contradiction, since 0 cannot equal 12. Therefore, there is no solution that satisfies both equations.

This means that the system is inconsistent, and there are no solutions.

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Answer:

270 in

Step-by-step explanation:

the least amount of fabric she would need is equal to the area of the mat

the mat is in the shape of a rectangle

Area of a rectangle = length x width

15 x 18 = 270 in²

The sum of the first 9 terms of the geometric sequence 75, 60, 48 is given as follows:

325.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{q^n - 1}{q - 1}\)

In which \(a_1\) is the first term.

The parameters for this problem are given as follows:

\(a_1 = 75, q = 0.8, n = 9\)

Hence the sum is given as follows:

\(S_9 = 75 \times \frac{0.8^9 - 1}{0.8 - 1}\)

\(S_9 = 325\)

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Answer:

Their highest common factor is the number 9

Answer:

(1,3)

Step-by-step explanation:

The image of (1, -3) is (1, 3).

There are two ways of reflection.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

Point = (1. -3)

Reflected over the x-axis.

So,

(1, -3) = (1, -(-3)) = (1, 3)

Thus,

(1, 3) is the reflected image.

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The marginal frequencies of chocolate and strawberry are 0.75 and 0.25 and chocolate is greater by 0.5

Marginal frequency is the ratio between either a column total or a row total and the total sample size.

For example, in a table of students classified by sex and area of study, the number of female students, regardless of area of study, would be one marginal frequency.

The marginal frequency of chocolate is calculated as;

The total frequency of chocolate = 30+45 = 75

The grand frequency = 75+25 = 100

marginal frequency of chocolate = 75/100

= 0.75

The marginal frequency of strawberry = 25/100

= 0.25

The difference in the marginal frequencies of chocolate and strawberry = 0.75 - 0.25 = 0.50

Therefore the marginal frequency of chocolate is greater than strawberry by 0.5

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Answer:

66 = ∠JKN

Step-by-step explanation:

∠JKM = 99

∠LKM = 66

KN bisects means middle point divides into two equal parts

so first lets find ∠LKN and ∠NKM

66/2 = ∠LKN and ∠NKM each

33 = ∠LKN

33 = ∠NKM

so if we add ∠JKL + ∠LKN + ∠NKM = 99

∠JKL + ∠LKN + ∠NKM = 99

∠JKL + 33 + 33 = 99

∠JKL  + 66  = 99

∠JKL = 99-66

∠JKL = 33

now to find ∠JKN we must add

∠JKL + ∠LKN = ∠JKN

33 + 33 = ∠JKN

66 = ∠JKN

The continuity equation is a fundamental principle in fluid dynamics that expresses the conservation of mass for a fluid. It states that the rate of change of mass in a fluid is equal to the net flow of mass into or out of a given volume. Mathematically, the general expression of the continuity equation is:

∂ρ/∂t + ∇ · (ρv) = 0

where ρ is the fluid density, t is time, v is the fluid velocity, and ∇ · is the divergence operator.

If the fluid is assumed to be incompressible, which means that the density remains constant throughout the flow, the continuity equation simplifies to:

∇ · v = 0

This equation states that the divergence of the velocity field is zero, which implies that the volume flow rate is conserved along any path in the fluid. In other words, if the fluid is incompressible, the rate at which fluid flows into a given volume must be equal to the rate at which it flows out of that volume. The continuity equation is a powerful tool in fluid mechanics that helps to describe the behavior of fluids in a wide range of applications, from weather forecasting to the design of aircraft and ships.

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The Legendre polynomials Pn satisfy the following recursion formula:(n+1) Pn+1(x) - (2n+1)xP(x) +nPn-1(x) = (2n +1) Pn(x). This can be shown using Bonnet's recursion formula, which states that xPn(x) = (n+1)Pn+1(x) + nPn-1(x).

To prove the above formula, we can use Bonnet's recursion formula to rewrite the left-hand side as (n+1) Pn+1(x) - (2n+1)xP(x) +nPn-1(x) = (n+1) Pn+1(x) + nPn-1(x) - (2n+1)xP(x). We can then combine the first two terms on the right-hand side using the fact that the Legendre polynomials are orthogonal, which means that ∫ Pn(x)Pm(x)dx = 0 if n ≠ m. In this case, we have n = n+1 and m = n-1, so the integral of Pn+1(x)Pn-1(x) over the interval [-1, 1] is zero. This means that the first two terms on the right-hand side cancel out, leaving us with (n+1) Pn+1(x) - (2n+1)xP(x) +nPn-1(x) = - (2n+1)xP(x). We can then factor out a -1 from the right-hand side to get (n+1) Pn+1(x) - (2n+1)xP(x) +nPn-1(x) = - (2n+1)xP(x) = (2n +1) Pn(x). This completes the proof.

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Answer:

false negatives - 2%

false positives - 3%

Step-by-step explanation:

Here is the complete question :

A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.

% of results will be false negatives, and % of results will be false positives.

False negative means a negative result which in actuality it is positive

False negative = 100% - percent of positive result

100% - 98% = 2%

False positive result means a positive result which in actuality is negative

False positive = 100% - percent of false positive

100 - 97 = 3%

Answer:

125/8

is the final answer

Step-by-step explanation:

1.transform the expression

2.calculate

3.(final answer)

Answer:

I Believe the answer is either 3 5/8 or 29/8

Step-by-step explanation:

You have to find the most common denominator which for 1/2 and 1/8 is 8 and then you would do 1/2 1*3 and 2*4 to get 4/8 add them together for 5/8 then would would either add 24/8 to equal the 3 or you would leave the three by itself (depends on what your teacher says for simplification)

As for defining simplification it is solving the problem best you can with the information you are given.

Answer:

first onei think

Step-by-step explanation: I think sorry if im wrong

Q; If f(x) is a third degree polynomial function, how many distinct complex roots are possible?

A; 0 or 2

Answer:

This is a geometric sequence, and the common difference/ratio is 0.5

Step-by-step explanation:

The difference between 4 and 2 is * 0.5, or 1/2, which is the same between 2 and 1. This means that we are dividing.

Remember that arithmetic means plus or minus, while geometric means multiplication or division. Because we are dividing, this is a geometric sequence.

The common difference/ratio in this is divided by 2, which is the same as being multiplied by 0.5.

Using Gaussian elimination, the complete solution to the system of equations is (w, x, y, z) = (-8/19, 54/95, 39/19, 0).

To solve the system of equations using Gaussian elimination, we first write the augmented matrix:

\(\begin{bmatrix}1 & -4 & -1 & | & -5 \\0 & 5 & -2 & | & 5 \\0 & 9 & 1 & | & 6 \\0 & 1 & -2 & | & 1 \\\end{bmatrix}$$\)

Next, we perform row operations to reduce the matrix to row echelon form:

R2 = R2 - R1:

\(\begin{bmatrix} 1 & -4 & -1 & -5 & \big| & -21 \\ 0 & 5 & -2 & 5 & \big| & 6 \\ 1 & 5 & 0 & 1 & \big| & 23 \\ 0 & 1 & -2 & 1 & \big| & 6 \end{bmatrix}\)

R3 = R3 - R1:

\(\begin{bmatrix}1 & -4 & -1 & -5 & | & -21 \\0 & 5 & -2 & 5 & | & 6 \\0 & 9 & 1 & 6 & | & 44 \\0 & 1 & -2 & 1 & | & 6 \\\end{bmatrix}\)

R3 = R3 - 9R2:

\(\begin{bmatrix}1 & -4 & -1 & -5 & | & -21 \\0 & 5 & -2 & 5 & | & 6 \\0 & 0 & 19 & -39 & | & -14 \\0 & 1 & -2 & 1 & | & 6\end{bmatrix}\)

R4 = R4 - R2:

\(\begin{bmatrix}1 & -4 & -1 & -5 \\0 & 5 & -2 & 5 \\0 & 0 & 19 & -39 \\0 & 0 & 0 & -4\end{bmatrix}\)

Now we have the row echelon form of the augmented matrix, and we can solve for the variables using back substitution. From the last row, we have -4z = 0, so z = 0.

Substituting this into the third row, we get 19y = 39, or y = 39/19. Substituting these values into the second row, we get 5x - 10(39/19) = 6, or x = 54/95. Finally, substituting all three values into the first row, we get w = -8/19.

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Explanation

Step 1

find the slope

the slope is given by:

Let

P1(6,3)

P2(9,15)

replacing.

Step 2

using

slope=4

P1(6,3)

find the equation

I hope this helps you

Answer:

SJSGGSHB AAJAM SLE AS THE MONSY UWY WHY AH AI

The word "and" in probability implies that we use the Multiplication rule.

The correct option is Option D.

The likelihood of both events A and B occurring, in accordance with the probability multiplication rule, is equal to the product of the probability of B occurring and the conditional probability of event A occurring given that event B occurs.

The relationship between two events is explained by the probability multiplication rule.

Set A∩B represents the events in which both events A and B have occurred for two events A and B related to a sample space S. Consequently, (A∩B) indicates that occurrences A and B happened at the same time. You can write the event A∩B as AB. Using the characteristics of conditional probability, the likelihood of event AB is calculated.

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The point at which the health insurance company cover all of the out-of-pocket costs for an insured individual on the economy plan is; Option C

Out-of-pocket expenses is defined as the costs that individuals pay out of their own cash reserves. In terms of health insurance, out-of-pocket expenses are simply your own share of covered healthcare costs, including the money you pay for deductibles, copays, and coinsurance.

Now, in the year 2021, the out-of-pocket limits were $8,550 for individual coverage and $17,100 for family. However, now in the year  2022, the out-of-pocket limits for individuals is now $8,700 while it is now $17,400 for a family.

Thus, we can conclude that option C is correct from the range given.

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