Simplify the ratio 12 to 30.

Answer:

A

Step-by-step explanation:

the Least common factor is 12

17/3 (x-3/2) =-5/4

17/2x -17/2 =-5/4

12*17/3x -12*17/2 = 12*-5/4

4*17x - 6*17= 3*-5

68x -102= -15

68x= 102-15

68x= 87

x=87/68

The amount of water that will fill the entire bin is 16/3 gallons.

Given: 1 over 8 gallon of water fills 2 over 3 of the bin.

Let's assume that the bin has a capacity of V gallons of water. Therefore, we need to find the amount of water that will fill the entire bin.

To write an equation, we know that: 1 over 8 gallon of water fills 2 over 3 of the bin.

Then, we can write the equation as: 1 over 8 V = 2 over 3V/8 = 2/3

Simplifying the above equation we get: V = (8 x 2) / (3 x 1) = 16 / 3 gallons

Hence, the amount of water that will fill the entire bin is 16/3 gallons.

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Solution:

Given the figure below:

The above figure, when closed, results into a cuboid.

This can be proven in the diagram below:

where the cuboid has

The surface area of a cuboid is expressed as

Thus, the surface area of the cuboid is evaluated as

Hence, the surface area of the box is

The correct option is D.

Answer:

Libero (I'm pretty sure)

Step-by-step explanation:

Liberos are the ones who receive the ball.

M=11

N=2

11•11=121

2•2=4

121-4=117

The answer is A

1 1/2 *2 *1 1/2 = 4.5 or 4 1/2

A i guess?

i dont no but maybe

The fractions to show the value of each 9 in the decima 0.999 are 9/10, 9/100, 9/1000.

To write the fraction that shows the value of each 9 in the decimal 0.999, we can use the following method

The digit 9 in the tenths place represents 9/10 or 0.9.

The digit 9 in the hundredths place represents 9/100 or 0.09.

The digit 9 in the thousandths place represents 9/1000 or 0.009.

Thus, the fractions are

0.9 = 9/10

0.09 = 9/100

0.009 = 9/1000

The value of the 9 on the left is related to the value of the 9 in the middle by a factor of 10.

The value of the 9 on the right is related to the value of the 9 in the middle by a factor of 10, so the 9 on the right is one-tenth the value of the 9 in the middle.

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Answer:

Step-by-step explanation:

5 - 4a = 7 + a

- 4a - a = -5 + 7

-5a = 2

a = -2/5

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

check

5 - 4(-2/5) = 7 + (-2/5)

0 = 0

the answer is good

Hello!

5 - 4a = 7 + a

-4a - a = 7 - 5

-5a = 2

a = 2/-5

a = -2/5

Answer:  None of the above

The central bank of the US is the Federal Reserve.

Answer:

x=18

Step-by-step explanation:

it is a proportion

8:12=x:27

you have to multiply the know external terms(8 and 27) and divide them by the 12

Answer:

yes because he already had 16 and everyday on the vacation he takes one more

Step-by-step explanation:

day 1 of vaca =17, day2= 18 and so on

The variable  a. model of automobile is Qualitative b. flavor of ice cream is Qualitative c. religious denomination is Qualitative d. test score out of 100 is Quantitative e. miles per gallon of gasoline is  Quantitative f. top three television networks is Qualitative g. length of birth contraction in seconds is Quantitative.

The Quantitative variable is defined as the variable which takes numerical value. for eg. 2mph, 90 , 34m.

The Qualitative variable is defined as the variable which takes values such as name/label etc. for eg, john , smith , Toyota ,vanilla.

According to the question

        VARIABLE                           CATEGORY              CLASSIFIED              

a. model of automobile               Qualitative         on the basis of name

b. flavor of ice cream                   Qualitative         on the basis of name

c. religious denomination            Qualitative         on the basis of name

d. test score out of 100               Quantitative        on the basis of number

e. miles per gallon of gasoline   Quantitative        on the basis of number

f. top three television networks  Qualitative          on the basis of name.

g. length of birth contraction      Quantitative        on the basis of number.

  (in seconds)  

Therefore , The variable  a. model of automobile is Qualitative

b. flavor of ice cream is Qualitative

c. religious denomination is Qualitative

d. test score out of 100 is Quantitative

e. miles per gallon of gasoline is  Quantitative

f. top three television networks is Qualitative

g. length of birth contraction in seconds is Quantitative

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The standard error of the mean for this random sample of 100 customers is 0.1.

The correct option is C.

The standard error of the mean is a measure that indicates the precision or variability of the sample mean in relation to the population mean. It represents the average amount of sampling error we can expect when estimating the population means based on a sample.

To calculate the standard error of the mean, we divide the standard deviation of the population by the square root of the sample size. In this case, the standard deviation is 1 minute and the sample size is 100.

Dividing 1 by the square root of 100, we get 1/10 or 0.1. This means that the standard error of the mean for this sample is 0.1.

A smaller standard error of the mean indicates that the sample mean is a more accurate estimate of the population mean. In this case, a standard error of 0.1 suggests that the average length of time it took customers to check out may vary around the sample mean by approximately 0.1 minutes.

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The value of determinant of the matrix det (AB) is 15.

Given matrices A and B are 3 by 3 matrices with

det (A) = 3 and

det (b) = 5.

We need to find the value of det (AB).

Writing the given matrices into the augmented matrix form gives [A | I] and [B | I] respectively.

By multiplying A and B, we get AB. Similarly, by multiplying I and I, we get I. We can then write AB into an augmented matrix form as [AB | I].

Therefore, we can solve the augmented matrix [AB | I] by row reducing [A | I] and [B | I] simultaneously using elementary row operations as shown below.


The determinant of AB can be calculated as det(AB) = det(A) × det(B)

= 3 × 5

= 15.

Conclusion: The value of det (AB) is 15.

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We need to find the value of determinant det(AB), using the formula: det(AB) = det(A)det(B)

=> det(AB) = 3 × 5

=> det(AB) = 15.

Hence, the value of det(AB) is 15.

The given matrices are A and B. Here, we need to determine the value of det(AB). To calculate the determinant of the product of two matrices, we can follow this rule:

det(AB) = det(A)det(B).

Given that: det(A) = 3

det(B) = 5

Now, let C = AB be the matrix product. Then,

det(C) = det(AB).

To evaluate det(C), we have to compute C first. We can use the following method to solve the augmented matrix by elementary row operations.

Given matrices A and B are: Matrix A and B:

[A|B] = [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0][A|B]

= [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0].

We can see that the coefficient matrix is an identity matrix. So, we can directly evaluate the determinant of A to be 3.

det(A) = 3.

Therefore, det(AB) = det(A)det(B)

= 3 × 5

= 15.

Conclusion: Therefore, the value of det(AB) is 15.

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Answer:

Step-by-step explanation:

"On a farm, there are some cows and birds."

c and b are the number of cows and birds, respectively.

"There are 35 total heads"

c+b = 35

b = 35-c

"110 total legs."

4c + 2b = 110

4c + 2(35-c) = 110

4c + 70 - 2c = 110

2c = 40

c = 20

b = 35-c = 15

20 cows and 15 birds.

Answer:

Center: (6, -12)

Radius: 4

Step-by-step explanation:

Complete the squares

\(x^2+y^2-12x+24y-10=6\\\\x^2-12x-10+y^2+24y=6\\\\x^2-12x-10+46+y^2+24y+144=6+46+144\\\\(x^2-12x+36)+(y^2+24y+144)=196\\\\(x-6)^2+(y+12)^2=196\)

Comparing with the standard form equation \((x-h)^2+(y-k)^2=r^2\), since \(r^2=196\), then the radius of the circle is \(r=14\). Also, the center of the circle would be \((h,k)\rightarrow(6,-12)\).

Answer:

The answer is 23/18..

5/6+4/9=23/18.

Answer:

Exact Form:

23/18

Decimal Form:

1.27

Mixed Number Form:

1 5/18

Step-by-step explanation:

Therefore, the global maximum value of the function on the region B is 12, and the global minimum value is 4.

To find the global maximum and minimum values of the function f(x, y) = x² + y² + x²y + 4y² + x²y + 4 on the region B = {(x, y) ∈ R² | −1 ≤ x ≤ 1, -1 ≤ y ≤ 1}, we need to evaluate the function at its critical points within the given region and compare the function values.

1. Critical Points:

To find the critical points, we need to find the points where the gradient of the function is zero or undefined.

The gradient of f(x, y) is given by:

∇f(x, y) = (df/dx, df/dy) = (2x + 2xy + 2x, 2y + x² + 8y + x²).

Setting the partial derivatives equal to zero, we get:

2x + 2xy + 2x = 0          (Equation 1)

2y + x² + 8y + x² = 0      (Equation 2)

Simplifying Equation 1, we have:

2x(1 + y + 1) = 0

x(1 + y + 1) = 0

x(2 + y) = 0

So, either x = 0 or y = -2.

If x = 0, substituting this into Equation 2, we get:

2y + 0 + 8y + 0 = 0

10y = 0

y = 0

Thus, we have one critical point: (0, 0).

2. Evaluate Function at Critical Points and Boundary:

Next, we evaluate the function f(x, y) at the critical point and the boundary points of the region B.

(i) Critical point:

f(0, 0) = (0)² + (0)² + (0)²(0) + 4(0)² + (0)²(0) + 4

       = 0 + 0 + 0 + 0 + 0 + 4

       = 4

(ii) Boundary points:

- At (1, 1):

f(1, 1) = (1)² + (1)² + (1)²(1) + 4(1)² + (1)²(1) + 4

       = 1 + 1 + 1 + 4 + 1 + 4

       = 12

- At (1, -1):

f(1, -1) = (1)² + (-1)² + (1)²(-1) + 4(-1)² + (1)²(-1) + 4

         = 1 + 1 - 1 + 4 + (-1) + 4

         = 8

- At (-1, 1):

f(-1, 1) = (-1)² + (1)² + (-1)²(1) + 4(1)² + (-1)²(1) + 4

         = 1 + 1 - 1 + 4 + (-1) + 4

         = 8

- At (-1, -1):

f(-1, -1) = (-1)² + (-1)² + (-1)²(-1) + 4(-1)² + (-1)²(-1) + 4

          = 1 + 1 + 1 + 4 + 1 + 4

          = 12

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Answer:

 2xy4 • (11x2 + 14xy + 17)

Step-by-step explanation:

(((22•(x3))•(y4))+((28•(x2))•(y5)))+(2•17xy4)

(((22•(x3))•(y4))+((22•7x2)•y5))+(2•17xy4)

 (((2•11x3) • y4) +  (22•7x2y5)) +  (2•17xy4)

5.1     Pull out like factors :

  22x3y4 + 28x2y5 + 34xy4  =   2xy4 • (11x2 + 14xy + 17)  

Trying to factor a multi variable polynomial :

5.2    Factoring    11x2 + 14xy + 17

Final result :

 2xy4 • (11x2 + 14xy + 17)

True. When performing econometric analysis on time-series data, it is a best practice to sort the data in chronological order. Econometric analysis involves using statistical methods to study and understand economic relationships, trends, and patterns.

Time-series data refers to a set of observations collected at regular intervals over time, such as stock prices, GDP growth, or unemployment rates.

Sorting the data in chronological order is essential because it allows for a proper understanding of the temporal relationship between different data points. This ordering helps researchers identify patterns, trends, and potential causal relationships within the data. Additionally, many econometric models, such as autoregressive or moving average models, rely on the assumption that the data points are arranged sequentially in time.

In summary, when conducting econometric analysis on time-series data, it is crucial to sort the data in chronological order to accurately analyze patterns, trends, and relationships. This practice enables researchers to develop robust models that can be used for forecasting and understanding the underlying economic processes.

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Answer: The slope  is 5  and teh y-intercept is -2.

Step-by-step explanation:

The slope is the number next  acting as the coefficient of the x variable, and y intercept is always the constant value which never changes and that number is -2.

Answer:

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

First, list the side lengths from smallest to largest:

We know the larger side has larger angle opposite to it.

Now, list the opposite angles to those sides in same order:

This is option H.

In the solidification of nickel, we can calculate the critical radius and activation free energy for homogeneous nucleation. Given the values for latent heat of fusion, surface free energy, and super-cooling, we can determine these parameters.

(a) To calculate the critical radius, we can use the formula r* = (2σ / ΔG\(v)^0.5\), where σ is the surface free energy and ΔGv is the activation free energy. By substituting the given values into the equation, we can determine the critical radius.

(b) The number of atoms in a nucleus of critical size can be calculated using the formula N = (4π / 3) *\(r*^3\) * ρ, where r* is the critical radius and ρ is the density of nickel. Assuming the lattice parameter of 0.360 nm, we can determine the density and subsequently calculate the number of atoms.

(c) Super-cooling has an effect on the critical radius and activation energy. As the super-cooling increases, the critical radius decreases, indicating that smaller nuclei can form more readily. The activation energy also decreases with increased super-cooling, making nucleation and solidification easier. This is because super-cooling provides a larger driving force for the formation of solid nuclei.

By applying the relevant formulas and substituting the given values, we can calculate the critical radius, activation free energy, number of atoms in a nucleus of critical size, and understand the effect of super-cooling on these parameters in the solidification of nickel.

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The length of the diagonal is 17.

Given that, In quadrilateral ABCD, sides AB and BC both have a length of 10, and sides CD and DA both have a length of 17.

The measure of ∠ADC = 60°

AD = CD ( according to the question)

So, Δ ABC is an isosceles triangle with ∠DAC = ∠DCA.

According to the image,

Angles in a triangle add up to 180°, and since ∠ADC = 60°, the other two angles are also 60°.

And Δ ADC is an equilateral triangle.

Therefore,  AC = DA = 17

S0, the diagonal of quadrilateral ABCD is 17.

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The values of the given expression having exponent with negative fractional base i.e. \(-2^{(3/2)^2}\\\) is evaluated out to be 16/9.

First, we need to simplify the expression inside the parentheses using the rule that says "exponents with negative fractional base can be rewritten as a fraction with positive numerator."

\(-2^{(3/2)^2}\) = (-2)² × (2/3)²

Now, we can simplify the expression  further by solving the exponent of (-2)² and (2/3)²:

(-2)² × (2/3)² = 4 × 4/9 = 16/9

Therefore, the value of the given expression \(-2^{(3/2)^2}\\\)  is 16/9.

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The question is :

What is the value of the expression \(-2^{(3/2)^2}\) ?

Each line above the numbers multiply it by 1000. So this number is being multiplied by 1000000.

Each "C" is equal to 100, since there are "CCC" the number is 300.

"XL" is equal to 40, because "X" is equal to 10 and "L" is equal to 50, but since he X is on the left of the L we subtract them.

The number CCCXL is then 340, but there are the two lines. So we have:

Answer:

0

Step-by-step explanation:

y2 - y1 / x2 - x1

-7 - 10 / -8 - (-8)

-17/0

= 0