Which expression is equivalent to (2^3)^-6?

Answer:

additive property

Step-by-step explanation:

it is because when you ADD the angles it is EQUAL to the answer

Answer: 3 quarts and 14 ounces

Step-by-step explanation:

1 gallon = 4 quarts = 128 ounces,

1 quart = 2 pints,

1 pint = 16 ounces.

Therefore:

5 gallons - ( 4 gallons 1 pint 2 ounces ) =

= 5 * 128 - ( 4 * 128 + 1 * 16 + 2 ) = 640 ounces - 530 ounces = 110 ounces

110 ounces = 3 * 32 + 14

Answer:In this case, there is only one solution to the system of equations.

Step-by-step explanation:

To find the solutions to a system of equations, we need to find the values of the variables that make both equations in the system true at the same time. One way to do this is to solve each equation for one of the variables, and then substitute that expression into the other equation.

For the first equation, y = −1/4x +5, we can rearrange the terms to get x = (4y - 5)/(-1/4).

For the second equation, 4y + x −20 = 0, we can rearrange the terms to get x = -4y + 20.

Substituting the expression for x from the first equation into the second equation, we get:

(-4y + 20) = (4y - 5)/(-1/4)

This simplifies to:

(-4y + 20) = -4(4y - 5)

Which simplifies to:

16y - 80 = -16y + 20

Which simplifies to:

36y = 100

Dividing both sides by 36, we get:

y = 100/36

This simplifies to:

y = 5/2

Substituting this value back into the first equation, we get:

x = (4(5/2) - 5)/(-1/4)

This simplifies to:

x = (-5/2)/(-1/4)

Which simplifies to:

x = -5/2

Therefore, the solution to the system of equations is (x, y) = (-5/2, 5/2).

If Yolanda bought 1/4 lb. of turkey and 2/4 lb. of ham at store, then ounces of meat Yolanda buy at the store is 12 ounces.

We know that there are 16 ounces in one pound.

So, to convert fractions of a pound to ounces, we multiply the weight in pounds by 16.

Yolanda bought 1/4 lb. of turkey, which is:

⇒ 1/4 × 16 = 4 oz,

And Yolanda bought 2/4 lb. of ham, which is:

⇒ 2/4 × 16  = 8 oz.

So, Yolanda bought a total of ; 4 oz. + 8 oz. = 12 oz.

Therefore, Yolanda bought a total of 12 ounces of meat.

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Answer: B. 70

Step-by-step explanation:

i actually can't tell but i think this is right

(1,2,4)

Range describes the y-values of a graph.

Range

Range is the y-values that a graph covers. Remember that the y-values are found on the vertical axis. If the graph is not continuous, then the values between the points are not included in the range. Similar to the range, the domain of a graph is the x-values that a graph covers. If there is a coordinate point with a y-value, then that y-value should be included in the range.

Finding Range

In order to find the range, we need to find all the unique y-values of the graph. Additionally, the range is given in numerical order. This means starting from the least value and going up to the greatest. The lowest y-value is 1, then 2, and finally 4. Even though there are two points where y = 2, we are only looking for unique values. This means that the range is (1,2,4).

Answer:

The answer to the question is 603.186

Answer: 7.5

Step-by-step explanation:

C) randomized block experimental design.

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Answer:c

Step-by-step explanation:

Answer:

193

Step-by-step explanation:

73+62+58 it's just adding who used one facility at a time.

The exercise highlights that converting the dual problem into standard form and applying the primal simplex method does not yield the same algorithm as the dual simplex method. By considering a specific standard form problem and its dual, it is shown that the primal simplex method applied to the dual problem may require one or more changes of basis, unlike the dual simplex method where termination occurs immediately due to the specific structure of the problem.

In the given exercise, we have a standard form problem and its dual:

Primal Problem:

minimize 21x1 + 22x2

subject to x1 = 1

x1, x2 ≥ 0

Dual Problem:

maximize P1 + P2

subject to P1 < 1

P2 < 1

P1, P2 ≥ 0

Since there is only one possible basis in this case, the dual simplex method terminates immediately because of the specific structure of the problem.

However, if we convert the dual problem into standard form and apply the primal simplex method to it, one or more changes of basis may be required. This is because the primal simplex method operates differently from the dual simplex method and may encounter different pivot elements and entering/leaving variables during the iterations. These differences in the algorithm can lead to changes in the basis during the primal simplex method's execution.

Therefore, it is evident that converting the dual problem into standard form and applying the primal simplex method does not result in the same algorithm as the dual simplex method. The primal simplex method may require one or more changes of basis during its execution, unlike the dual simplex method, which terminates immediately in this specific problem due to the singular structure of the basis.

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Answer:

180

Step-by-step explanation:

132 plus 48 is 180 so altogether they baked 180 cupcakes

I hope this helped! :)

\(\sqrt[4]{567x^9 y^{11}} ~~ \begin{cases} 567=3\cdot 3\cdot 3\cdot 3\cdot 7\\ \qquad ~~ ~ 3^4\cdot 7\\ x^9=x^{4+4+1}\\ \qquad ~x^4\cdot x^4\cdot x\\ y^{11}=y^{4+4+3}\\ \qquad ~~ y^4\cdot y^4\cdot y^3 \end{cases}\implies \sqrt[4]{3^4\cdot 7 \cdot x^4\cdot x^4\cdot x\cdot y^4\cdot y^4\cdot y^3}\)

\(\left( 3^4\cdot 7 \cdot x^4\cdot x^4\cdot x\cdot y^4\cdot y^4\cdot y^3\right)^{\frac{1}{4}}\implies 3^{\frac{4}{4}}\cdot 7^{\frac{1}{4}}\cdot x^{\frac{4}{4}}\cdot x^{\frac{4}{4}}\cdot x^{\frac{1}{4}}\cdot y^{\frac{4}{4}}\cdot y^{\frac{4}{4}}\cdot y^{\frac{3}{4}}\)

\(3\cdot 7^{\frac{1}{4}}\cdot x\cdot x\cdot x^{\frac{1}{4}}\cdot y\cdot y\cdot y^{\frac{3}{4}}\implies 3x^2y^2\cdot 7^{\frac{1}{4}}x^{\frac{1}{4}} y^{\frac{3}{4}} \implies 3x^2y^2(7xy^3)^{\frac{1}{4}} \\\\\\ ~\hfill {\Large \begin{array}{llll} 3x^2y^2\sqrt[4]{7xy^3} \end{array}}~\hfill\)

The minimum number of states in the NFA accepting the language {a, ab} is 3. The NFA that accepts strings where the third-last symbol is 'a' over the alphabet {a, b} has five states.

For the DFA accepting strings with a number of 'a's divisible by 6 and 'b's divisible by 8, we can use the principle of the product construction. Since we need to consider both divisibility by 6 and divisibility by 8, the DFA will have states corresponding to all possible remainders when dividing the count of 'a's by 6 and the count of 'b's by 8. The remainders can range from 0 to 5 for 'a' and 0 to 7 for 'b', resulting in a total of 6 * 8 = 48 states. However, some states may be equivalent, so we can apply minimization techniques such as the Hopcroft's algorithm or table-filling algorithm to reduce the number of states. After minimization, the DFA will have 15 states (option C).

For the NFA accepting the language {a, ab}, we need to consider all possible transitions for each symbol in the alphabet. In this case, we have two symbols, 'a' and 'b'. The NFA should have states corresponding to different combinations of these symbols, including the empty string. We can start with an initial state and create transitions for 'a' and 'ab' accordingly. Since we have three possible transitions for 'a' (i.e., to a state accepting 'a', to a state accepting 'ab', or to a dead state), and one transition for 'ab' (to a state accepting 'ab'), the minimum number of states in this NFA is 3 (option A).

For the NFA accepting strings where the third-last symbol is 'a', we can again use the principle of the product construction. We need to consider the position of the third-last symbol in the string, which can be either 'a' or 'b'. The NFA will have states representing the different possibilities for the third-last symbol, including 'a' or 'b' as the third-last symbol. Since we have two possible transitions for each symbol in the alphabet ('a' or 'b') and three possible positions for the third-last symbol, the NFA will have a total of 2 * 3 = 6 states. However, we also need to consider the possibility of an empty string, which adds one more state. Hence, the NFA will have a total of 6 + 1 = 7 states (option D).

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Answer:

9

Step-by-step explanation:

Answer:

the answer is 4 i believe

Step-by-step explanation:

0.4

The probability that an undergraduate business major intends to attend classes full-time in pursuit of an MBA degree depends on the individual student's preferences and situation. Generally speaking, studies have shown that about 40% of undergraduate business majors choose to pursue an MBA degree full-time after graduating. Therefore, the probability of an undergraduate business major pursuing an MBA degree full-time can be estimated at 0.4.

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The appropriate test statistic for the test is t = 16/0.037.

The appropriate test statistic for the test is obtained by dividing the estimated slope of the regression line (in this case, 16) by the standard error of the slope (0.037). The test statistic measures how many standard deviations the estimated slope is away from the hypothesized value of 0. By calculating the ratio of 16 divided by 0.037, we obtain the t-value, which is used to assess the significance of the estimated slope in relation to the null hypothesis.

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Answer:

-16.5

Step-by-step explanation:

1) -5*3.3

2) (Multiplying with 1 negative number makes it negative)

3) -16.5

Answer:

3.142857  (3.14)

Step-by-step explanation:

Slope of lines 3x - 5y = 2 and 3x + 5y = -2 are m₁ = 3/5 and m₂ = -3/5 respectively.

The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of the line. The net change in the y coordinate is Δy and the net change in the x coordinate is Δx. Therefore, the change in y-coordinate for a change in x-coordinate can be written as

Line slope is a measure of the steepness or direction of a line in the coordinate plane.  

m = Δy/Δx

where,m is the slope

Given,

equations of the line

3x - 5y = 2

Moving 3x to RHS
-5y = -3x + 2

y = (3/5)x - 2/5

comparing with slope intercept equation of the line y = mx + c

slope m₁ = 3/5

Now, equation

3x + 5y = -2

moving 3x to RHS

5y = -3x - 2

y = (-3/5)x - 2

comparing with slope intercept equation of the line y = mx + c

slope m₂ = -3/5

Hence, m₁ = 3/5 and m₂ = -3/5 are slope of lines 3x - 5y = 2 and 3x + 5y = -2 respectively.

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Answer:

Sum he wasn't suupposed to be doing....... ;-;

Step-by-step explanation:

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

2[p - (4p + 11) + 1] = 2(p + 10)

Step 02:

solve the equation:

2[p - (4p + 11) + 1] = 2(p + 10)

2[p - 4p - 11 + 1] = 2p + 20

2[- 3p - 10] = 2p + 20

-6p - 20 = 2p + 20

-6p - 2p = 20 + 20

-8p = 40

p = 40 / (-8)

p = - 5

The answer is:

The solution set is {-5}

Remember that the sine of an angle in a right triangle is equal to the quotient between the side opposite to the angle and the hypotenuse of the triangle.

Since the sine of the given angle θ is equal to 3/5, we can represent θ as part of a right triangle whose hypotenuse has a measure of 5 and the side opposite to θ has a measure of 3:

The length of the side adjacent to θ must be equal to 4 in order to satisfy the Pythagorean Theorem:

On the other hand, the cosine of an angle is defined as the quotient between the side adjacent to the angle and the hypotenuse of the triangle. Then, the cosine of θ must be equal to 4/5:

The rest of the trigonometric relations are defined in terms of the sine and the cosine as follows:

Since sinθ=3/5 and cosθ=4/5, then:

Answer:

11b^3+14b^2+b+9

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

         b2

Step-by-step explanation:

Answer:

  x = 4

Step-by-step explanation:

The ratio of the side opposite the large filled dot to the hypotenuse is ...

  16/20 = x/5

  (4/5)(5) = x = 4 . . . . multiply by 5

The value of x is 4.

__

The angle marks tell us the triangles are similar.

Answer:

Option (a).

Step-by-step explanation:

1) Pedro decided to build a rectangular enclosure with an area of 36 m². How many meters of canvas will he have to buy to make the enclosure considering that one side will be 3 meters more than the other?

Let the length of the rectangle be x then the width will be (3+x) m

The area of a rectangular enclosure is 36 m².

To find how may meter of canvas will he have to buy to make the enclosure, we can find its perimeter. Firstly finding length and breadth using formula of area of rectangle.

\(A=l\times b\\\\36=x(x+3)\\\\x^2+3x-36=0\)

\(x=\dfrac{-3+\sqrt{3^{2}-4(1)(-36)}}{2\times(1)},\dfrac{-3-\sqrt{3^{2}-4(1)(-36)}}{2\times(1)}\\\\x=4.68\ m\ \text{and}\ -7.68\ m\)

Neglecting negative value, we get the length is 4.64 m

Width, b = (3+x) = (3+4.64) = 7.64 m

The perimeter of rectangle is :

P = 2(l+b)

P = 2(4.64 m+7.64 m)

P = 24.56 m

or

P = 25 m

Hence, 25 m of canvas will he have to buy to make the enclosure.

The requried volume of the oblique cylinder with a base diameter of 7 cm and a height of 38 cm is 1462 cm³.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The volume of the oblique cylinder = πr²h

Substitute the value in the above equation,
The volume of the oblique cylinder = π × (7/2)² × 38
The volume of the oblique cylinder = π × 3.5² × 38
The volume of the oblique cylinder = 1462 cm³

Thus, the requried volume of the oblique cylinder with a base diameter of 7 cm and a height of 38 cm is 1462 cm³.

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Answer:

I think the solution is (p,q)=(-2,-5)