Look at this order of fractions below!

And now, look at this statements ( TRUE/FALSE )

a. The first fraction is the fifth biggest
b. The last fraction is the smallest among of all
c. The second fraction + the fourth fraction
= 0.5
d. 2 × the twentyth fraction = -1

If u guys can solve this question, type your answer here ​

Answer:

5/13 or 0.384615

Step-by-step explanation:

you first convert 2.6 to a fraction getting13/5 to find the reciprocal u switch the fraction so it would be 5/13 and then make it into a decimal

The sum of the complex numbers (9+7i) and (-5-3i) is 4 + 4i.The difference of the complex numbers (3-2i) and (7+6i) is -4 - 8i.

When subtracting complex numbers, we subtract the real parts and the imaginary parts separately.

In this case, subtracting the real parts gives us 3 - 7 = -4, and subtracting the imaginary parts gives us -2i - 6i = -8i. Therefore, the result is -4 - 8i.

In complex number subtraction, we treat the real and imaginary parts as separate entities and perform subtraction individually. The real part is obtained by subtracting the real parts of the two complex numbers, which in this case is 3 - 7 = -4.

Similarly, we subtract the imaginary parts, which are -2i and -6i, resulting in -2i - (-6i) = -2i + 6i = 4i. Thus, the difference of the complex numbers (3-2i) and (7+6i) is -4 - 8i.

To add complex numbers, we combine their real parts and imaginary parts separately. In this case, adding the real parts gives us 9 + (-5) = 4. Similarly, adding the imaginary parts gives us 7i + (-3i) = 4i. Thus, the sum of (9+7i) and (-5-3i) is 4 + 4i.

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Answer:

C is the anwser

Step-by-step explanation:

divide by flipping everything and rooting it.

Answer:

1. x = 7

2. x = 5

3. x = 5

4. x = 11

5. x = -1

6. x = -1

Step-by-step explanation:

1. -x-2=-44+5x

-2=-44+6x

42=6x

x=7

2. 4x+2=-12+6x

2=-12+2x

10=2x

x=5

3. 4x+6=-16+6x

6=-16+2x

10=2x

x=5

4. 3x-10=-54+7x

-10=-54+4x

44=4x

x=11

5. -18-6x=6(1+3x)

-18-6x=6+18x

-18=6+24x

-24=24x

x=-1

6. 3x-5=-8(6+5x)

3x-5=-48-40x

-5=-48-43x

43=-43x

x=-1

The two consecutive odd integers are 9 and 11 (from x=9) or 3 and 5 (from x=3).

Let's assume the two consecutive odd integers as x and x+2 (where x is the lowest integer).

According to the given information, the product of the two consecutive odd integers is 41 less than 7 times their sum. Mathematically, we can represent this as:

(x)(x+2) = 7[(x) + (x+2)] - 41

Expanding the equation:

x^2 + 2x = 7(2x + 2) - 41

x^2 + 2x = 14x + 14 - 41

x^2 + 2x = 14x - 27

Moving all terms to one side of the equation:

x^2 + 2x - 14x + 27 = 0

x^2 - 12x + 27 = 0

Now, we can solve this quadratic equation to find the values of x. We can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

In this equation, a = 1, b = -12, and c = 27. Plugging these values into the quadratic formula:

x = (-(-12) ± √((-12)^2 - 4(1)(27))) / (2(1))

x = (12 ± √(144 - 108)) / 2

x = (12 ± √36) / 2

x = (12 ± 6) / 2

This gives us two possible values for x:

When x = (12 + 6) / 2 = 18 / 2 = 9

When x = (12 - 6) / 2 = 6 / 2 = 3

Therefore, the two consecutive odd integers are 9 and 11 (from x=9) or 3 and 5 (from x=3).

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Answer:

16π square inches

Step-by-step explanation:

8/2 = 4 inches in radius

4^2 * π = 16π

hope that help mark me brinliylist

I did this before in my worksheet I can show yall

Answer: 50.24 in²

Step-by-step explanation:

The area of the tortilla is 50.24 in²

A = π r²

A = π (d/2)²        -->             r = d/2

A = 3.14 (4)²

A = 3.14 (16)

A = 50.24 in²

If all the data points fall on the least-squares regression line in simple linear regression this is indication of overfitting. The correct answer is E. None of the above statements are true.

In simple linear regression, if all the data points fall exactly on the least-squares regression line, it means that the regression model perfectly explains the relationship between the independent variable and the dependent variable. However, this scenario is highly unlikely in practice and is often an indication of overfitting.

Here's a breakdown of each statement:

A. F-statistic = 0: The F-statistic is used to test the overall significance of the regression model. If all data points fall on the regression line, it suggests a perfect fit, and the F-statistic would be large rather than zero.

B. MS(Regression Model) = 100%: MS stands for mean square, and this statement implies that all the variation in the dependent variable can be attributed to the regression model. However, in reality, there is typically some degree of error or residual variation that cannot be explained by the model.

C. SS(Total) = 0: SS stands for sum of squares, and SS(Total) represents the total sum of squares of the dependent variable. If all data points fall on the regression line, it would imply that there is no variation in the dependent variable, which is highly unlikely.

D. SS(Regression Model) = SS(Total): SS(Regression Model) represents the sum of squares explained by the regression model. If all data points fall on the regression line, it implies that the regression model perfectly explains all the variation in the dependent variable. However, in practice, there is typically some residual variation that cannot be explained by the model.

Therefore, none of the statements mentioned are true when all the data points fall on the least-squares regression line.

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Answer:

y = -6x + 42

Step-by-step explanation:

Slope (m) =(y2-y1)/(x2-x2) = -6/1 = -6

b=42

Answer:

10% of all the birds she saw were cardinals.

Step-by-step explanation:

25% of 8 is 2

So she saw 2 cardinal birds overall.

12+8=20

2 0f 20 is 10%

Hope this helps. Have a nice day!

Answer:

10.9

Step-by-step explanation:

4 1/2 plus 6 2/5=10.9

Answer: 10.9

Step-by-step explanation:

Answer:

2009

Step-by-step explanation:

2002+7

=2009

Answer:

58.3%

Step-by-step explanation:

Okay, so we know that there are 12 months in a year, and so we need to find what percent 7 is out of 12, so we divide:

7 ÷ 12 = 0.583

0.583 x 100 = 58.3

So, Andrew was on vacation for 58.3% of the year

The x-intercepts are x = -5/3 and x = 5/3.

The y-intercept is (0, 25).

Solve x+9x^2 + 26x+24 < 0:

To solve this inequality, we can first simplify the expression:

9x^2 + 27x + 24 < 0

Now, we can factorize the quadratic expression:

(3x + 4)(3x + 6) < 0

Next, we determine the critical points by setting each factor to zero:

3x + 4 = 0 --> x = -4/3

3x + 6 = 0 --> x = -2

We now create a sign chart and test the intervals:

scss

Copy code

         -∞      -4/3       -2       +∞

(3x + 4)  -       0         +        +

(3x + 6)  -       -         +        +

From the sign chart, we can see that the inequality (3x + 4)(3x + 6) < 0 holds true when -4/3 < x < -2.

Therefore, the solution to the inequality x+9x^2 + 26x+24 < 0 is:

-4/3 < x < -2.

Determine the end behavior, x-/y-intercepts, and sketch the graph of f(x) = x - 9x^2 + 15x + 25:

End Behavior:

As x approaches negative infinity, the leading term -9x^2 dominates, and the function approaches negative infinity. As x approaches positive infinity, the leading term -9x^2 still dominates, and the function also approaches negative infinity.

x-intercepts:

To find the x-intercepts, we set f(x) = 0 and solve for x:

x - 9x^2 + 15x + 25 = 0

Combine like terms:

-9x^2 + 16x + 25 = 0

This quadratic equation can be factored as:

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

Setting each factor to zero:

3x - 5 = 0 --> x = 5/3

3x + 5 = 0 --> x = -5/3

Therefore, the x-intercepts are x = -5/3 and x = 5/3.

y-intercept:

To find the y-intercept, we set x = 0 in the equation:

f(0) = 0 - 9(0)^2 + 15(0) + 25 = 25

Therefore, the y-intercept is (0, 25).

Sketching the graph:

Using the information gathered, we can sketch the graph of f(x). It is a downward-opening parabola that intersects the x-axis at x = -5/3 and x = 5/3, and the y-axis at y = 25. The end behavior shows that the graph approaches negative infinity as x approaches negative and positive infinity.

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Answer:

Step-by-step explanation:

17

When the speed of the plane increases at a constant rate over a time interval of several seconds, the angle the earphone wire makes with the vertical decreases. The earphone wire is affected by both the force of gravity and the force exerted on it by the airplane's acceleration.

The force of gravity acts vertically downward, while the force of acceleration acts in the direction of the airplane's motion. Therefore, the angle between the earphone wire and the vertical decreases as the plane accelerates because the force of acceleration overcomes the force of gravity, causing the wire to tilt forward.

As the plane continues to accelerate, the angle between the earphone wire and the vertical decreases even more until the plane reaches its cruising speed.

At this point, the earphone wire is parallel to the ground and there is no angle between it and the vertical.

Overall, during the time interval when the plane is accelerating, the angle the earphone wire makes with the vertical decreases.

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Answer:

1 bushel = 32 quarts

Step-by-step explanation:

It is given that,

No. of pecks in a bushel = 4

No of quarts in a peck = 8

We need to find the relationship between number of bushels, b, and the number of quarts, q.

No. of quarts in 4 pecks = 4×8 = 32 quarts

It would mean that there are 32 quarts in 1 bushel.

Hence, 1 bushel = 32 quarts

there exists an integer solution to the congruence x 2 x ≡ 4 (mod 2027) when 2027 is prime.

we first note that if there is a solution to this congruence, then x must be relatively prime to 2027. This is because if x and 2027 have a common factor, then we can divide both sides of the congruence by that common factor and obtain a new congruence that is equivalent to the original one but with a smaller modulus. Since 2027 is prime, the only divisors of 2027 are 1 and 2027, so any non-zero residue modulo 2027 that is not equal to 1 or 2026 must be relatively prime to 2027.

Now, let's consider the hint given in the question: "what do you have to take the square root of?" The answer is that we need to take the square root of 4 to obtain possible values for x. Since 4 is a perfect square, it has two square roots modulo 2027, namely 2 and 2025. Thus, we have two possible values for x, namely x ≡ 2 (mod 2027) and x ≡ 2025 (mod 2027).

To see that these are indeed solutions to the congruence x 2 x ≡ 4 (mod 2027), we can simply plug them in and check. For example, if we take x ≡ 2 (mod 2027), then we have:

(2 2) 2 ≡ 4 (mod 2027)

which is true since 2 2 = 4. Similarly, if we take x ≡ 2025 (mod 2027), then we have:

(2025 2) 2025 ≡ 4 (mod 2027)

which is also true since 2025 2 ≡ 4 (mod 2027).

Therefore, we have shown that there exist integer solutions to the congruence x 2 x ≡ 4 (mod 2027) when 2027 is prime. In conclusion, the possible solutions are x ≡ 2 (mod 2027) and x ≡ 2025 (mod 2027).

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Since 2027 is a prime number, it follows from the Chinese Remainder Theorem that these two solutions are distinct . Thus, there exists an integer solution to the congruence x^2 ≡ 4 (mod 2027).

To show that there exists an integer solution to the congruence x^2 ≡ 4 (mod 2027), we need to find an integer x that satisfies this congruence.

First, note that 2027 is a prime number. Since 4 is a quadratic residue mod 2027 (i.e., there exists an integer y such that y^2 ≡ 4 (mod 2027)), we can use the fact that 2027 is prime and apply the following theorem:

If p is an odd prime and a is a quadratic residue mod p, then the congruence x^2 ≡ a (mod p) has either 2 solutions or no solutions.

Using this theorem, we know that the congruence x^2 ≡ 4 (mod 2027) has either 2 solutions or no solutions.

To find a solution, we can take the square root of both sides of the congruence:
x^2 ≡ 4 (mod 2027)
x ≡ ±2 (mod 2027)

So x ≡ 2 (mod 2027) or x ≡ -2 (mod 2027).

Since 2027 is a prime number, it follows from the Chinese Remainder Theorem that these two solutions are distinct (i.e., they are not equivalent mod 2027). Therefore, there exists an integer solution to the congruence x^2 ≡ 4 (mod 2027).

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Answer:

x=2

Step-by-step explanation:

7x=14

divide by 7 on each side to get x by itself

x=14/7

x=2

Answer:

Hello,

the above question requires more information for anyone to be able to answer.

In the abscence of that, the total weight of the two heaviest peaches can be obtained by simply summing the individual weights of the two heaviest peaches.

If for instance there are 13 peaches and the two heaviest peaches weight 5Kg and 5.5 kg respectively, the weight of the two would translate to the following:

Step-by-step explanation:

5 +5.5= 10.5Kg

Cheers!

The general integral is provided by y = C1e-t + C2te-t + (1/2)(t2)e-t.

(m + 1)2 =0 is the characteristic polynomial for the differential equation y" +2y' + y = e-t.

Roots -1, -1. yh = C1e-t + C2te-t is the answer to the homogeneous equation at that point.

Use the method of variation of parameters, taking into account the independent integrals y1 = e-t, y2 = te-t, and Wronskian

W(t) = e-2t, to derive the specific integral related to f(t) = e-t.

Then, use the conventional formula yp = - y1(t)(Integral of Y2(t)f(t)dt/W(t)) +y

Obtain yp = (1/2)(t2)e-t for the given situation.

As a result, the general integral is provided by

y = C1e-t + C2te-t + (1/2)(t2)e-t.

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Story:

There is a tank that can fill 4 liters of water. The 2/3 of the tank has been filled with water. How much liters have the tank filled with water?

Solution of story:

We know that:

Multiply both the terms to get the answer.

Solution:

Hence, 2 2/3 liters has been filled with water.

Hoped this helped.

A. person can do 2/3 of work a day how many times can he do that work in 4days?

Solution:-

Just multiply numerator with numerator and denominator with denominator.

\(\\ \tt\hookrightarrow 4\times \dfrac{2}{3}\)

\(\\ \tt\hookrightarrow \dfrac{4(2)}{3}\)

\(\\ \tt\hookrightarrow \dfrac{8}{3}\)

\(\\ \tt\hookrightarrow 2\dfrac{2}{3}\)

Answer:

-11 < x < 9

    _    _

Step-by-step explanation:

-11 is less than or equal to x and x is less than or equal to 9

Yes, it is possible to represent long division answers in the answer instead of just fractions and whatever else is on the answer key. Long division is a method used for dividing two numbers, especially when the divisor has more than one digit. This method is used to break down a division problem into simpler steps that are easier to solve.

When using long division, the answer is obtained by subtracting the product of the divisor and the quotient from the dividend. The remainder is then brought down, and the process is repeated until there are no more digits to bring down. The final answer is obtained by adding up all the quotients.
To represent the answer using long division, you can write the division problem vertically and show all the steps involved. For example, if the problem is to divide 120 by 5, the answer using long division would be:
```
    24
5 | 120
   - 10
   ----
      20
     - 20
     ----
       0
```
The answer is 24, which can be obtained by adding up all the quotients.
In conclusion, yes, it is possible to represent long division answers in the answer. By using this method, you can break down a division problem into simpler steps that are easier to solve. The answer is obtained by subtracting the product of the divisor and the quotient from the dividend and showing all the steps involved.

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If a is a square matrix and  \(a = ka^t\) where k is not equal to ±1 then a = 0.

A matrix is a collection of numbers that are arranged in rows and columns to form a rectangular array. The numbers are referred to as matrix elements or entries. Matrices are widely used in engineering, physics, economics, and statistics, as well as in many disciplines of mathematics.

Let's assume that "a" is an n x n square matrix, where "k" is a scalar, and "a^t" is the transpose of "a".

If \(a = ka^t\), then we can multiply both sides by "\(a^t\)" to get:

\(a * a^t = k * a^t * a^t\)

Since "\(a^t\) * a" is a symmetric matrix, its transpose is equal to itself:

\(a^t * a = (a^t * a)^t\)

So, substituting this in the previous equation:

\(a * a^t = k * (a^t * a)^t\)

Since a^t * a is symmetric, its eigenvalues are real. Let λ1, λ2, ..., λn be the eigenvalues of a^t * a. Then, the eigenvalues of a * a^t are also λ1, λ2, ..., λn, so we have:

\(a * a^t = k * λ1 * I = k * λ2 * I = ... = k * λn * I\)

Where "I" is the identity matrix.

Since the eigenvalues of \(a * a^t\) are all equal, it follows that the matrix must be a scalar multiple of the identity matrix. But since k is not equal to ±1, we have:

\(a * a^t = 0 * I = 0\)

So,\(a * a^t = 0\), and since "\(a^t * a\)" is positive definite, it follows that "a = 0".

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Answer:

lim [(x(2) + 3) × 1/ x(4) ] = 3 × ( + ○○) = + ○○

To find the critical numbers of the function provided , we need to determine the values of x at which the derivative of g(x) equals zero or does not exist.

First, let's find the derivative of g(x). Applying the product rule and chain rule, we have:

\(g'(x) = 8e^{(8x)cosh(10x) + e^(8x)(10sinh(10x))}\\ = e^{(8x)(8cosh(10x) + 10sinh(10x))\)

Now, to find the critical numbers, we set g'(x) equal to zero and solve for x:

\(e^{(8x)(8cosh(10x) + 10sinh(10x)) = 0\)

8cosh(10x) + 10sinh(10x) = 0

\(8((e^{(10x) + e^(-10x))/2) + 10((e^(10x) - e^(-10x))/2) = 0\)

on simplifying and combining like terms , will get:

\(9e^{(10x) }+ e^{(-10x) = 0\)

Dividing both sides by \(e^{(-10x)\), we obtain:

\(9e^{(20x)\) = -1

Taking the natural logarithm of both sides, we have:

ln(9) + 20x = ln(-1)

However, ln(-1) is undefined since the natural logarithm is only defined for positive values. Therefore, there are no critical numbers for the function g(x) = \(e^{8x)}cosh(10x).\)

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Answer:

Step-by-step explanation:

12/18= 2/3, that’s the ratio of how many questions he gets right compared to total questions

So if there are 30 questions total, he will get 20 right (30 x 2/3)

If you’re taking into consideration that he already answered 18 questions, he will get 8 more correct

Answer:

a. CFB and GFD

b. BFD and CFE

Step-by-step explanation:

vertical angles are angles opposite of each other and made by two intersecting lines. acute is less than 90degrees. obtuse is greater than 90degrees.

Answer:

f(g(x)) = 12x² - 36x + 28

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x) )

= f(2x - 3)

= 3(2x - 3)² + 1 ← expand factor using FOIL

= 3(4x² - 12x + 9) + 1 ← distribute parenthesis by 3

= 12x² - 36x + 27 + 1 ← collect like terms

= 12x² - 36x + 28

The number of students taking classes at Zeke's Karate altogether is 108 students.

Given that, at Zeke's Karate, there are 5 times as many youth students as adult students taking classes this session.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

The ratio of youth students to adult students is x:5x.

If there are 72 more youth students than adult students this session

So, 5x=x+72

⇒ 5x-x=72

⇒ 4x=72

⇒ x=18

Now, 5x=5×18 =90

Total students = 18+90=108

Therefore, the number of students taking classes at Zeke's Karate altogether is 108 students.

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