3/4x= 12, what must x be?

x=16
x=4
x=3
x=48

Answer:

27 x k = h^2 - 9

Step-by-step explanation:

The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106

A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.

Rectangles' essential characteristics are as follows:

A rectangle is a parallelogram.

The Perimeter of the rectangle is 2a + 2b where a and b are the two sides

Now , if w is the width of the rectangle then, the length is 4w given in problem.

Perimeter,

2w + 2* 4w

As it is given in the problem

2w + 2* 4w ≤ 106

The first model of inequality satisfy the problem.

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Answer:

-8p -2

Step-by-step explanation:

(-7p + 10) - (p + 12) =

-7p + 10 - p - 12 =

-8p -2

Cramer's rule can be used to solve the system of linear equations for 'y'. The value of 'y' in the given system is 1.5.

To solve the system of linear equations using Cramer's rule, we need to set up a matrix equation in the form Ax = b, where A is the coefficient matrix, x is the column matrix of variables, and b is the column matrix of constants.

The given system of equations is:

x - 2y + 3z = 1

2y + z = 4

-x + z = 2

We can rewrite this system in matrix form as:

| 1  -2  3 |   | x |   | 1 |

| 0   2   1 | * | y | = | 4 |

|-1   0   1 |   | z |   | 2 |

The coefficient matrix A is:

| 1  -2  3 |

| 0   2   1 |

|-1   0   1 |

The column matrix of variables x is:

| x |

| y |

| z |

The column matrix of constants b is:

| 1 |

| 4 |

| 2 |

To solve for y using Cramer's rule, we need to find the determinant of the matrix obtained by replacing the second column of A with the column matrix b, and then divide it by the determinant of A.

Let's denote the determinant of a matrix M as det(M).

To find the value of y, we use the formula:

y = det(Ay) / det(A)

where Ay is the matrix obtained by replacing the second column of A with the column matrix b.

By calculating the determinants, we find:

det(A) = 1(2*1 - 0*1) - (-2)(0*1 - (-1)*1) + 3(0*0 - (-1)*2) = 2 + 2 + 6 = 10

Now, we replace the second column of A with the column matrix b to get Ay:

| 1  1  3 |

| 0  4  1 |

|-1  2  1 |

det(Ay) = 1(4*1 - 2*1) - 1(0*1 - (-1)*1) + 3(0*2 - (-1)*4) = 2 + 1 + 12 = 15

Finally, we can calculate y using Cramer's rule:

y = det(Ay) / det(A) = 15 / 10 = 1.5

Therefore, the value of y in the given system of linear equations is 1.5.

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Answer:

She will have to work at least 83 times.

Step-by-step explanation:

Divide 1,500 by 180 and then to check answer multiply 180 with 83.

Answer: 29%

Step-by-step explanation: 220 out of 310 attended. This mean the error percentage is 90/310. Dividing 90 by 310, we get the answer of around 29%.

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The fact that Maria has decided to still put in more effort to get no grade lower than C shows that c. she is able to set and evaluate her goals.

Maria was able to set goals on the grades that she would like to earn throughtout her high school.

She was also able to evaluate her progress when she saw that she hadn't reached her overall goal. This then led to her taking even more lessons.

In conclusion, option C is correct.

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Assuming that the amount of homework is constant and can be divided equally into four parts, it would take you 60 minutes (or 1 hour) to finish all of your homework. This is because 15 minutes is one fourth of 60 minutes.

Answer:

The answer is 1 hour

Step-by-step explanation:

I got this answer because I aleady know that 15 minutes is 1/4 of an hour and if you do that 4 times that is 60 minutes ( 1 hour)

Answer:

12

Step-by-step explanation:

52 minus 40

Check the picture below.

Answer:

T = 5.79 (approximated)

Step-by-step explanation:

Using I = PRT/100

where P = The principal amount invested = $5500

R = Rate of Interest =5%

T = Time (in years)

I = Interest = $7,739.05 - $5500 = $2239.05

Substituting the above values in the formula

I = PRT/100 becomes

2239.05 = 7,739.05 * 5 * t / 100 -------- Multiply 100 to both sides

2239.05 * 100 = 100 * 7739.05 * 5 * t / 100

223905 = 7739.05 * 5 * t

223905 = 38695.25t

Divide both sides by 38695.25t

223905/38695.25 = t

5.786369 = t

T = 5.79 (approximated)

Answer:

-36

Step-by-step explanation:

3*-12=-36

Answer: -36

Step-by-step explanation:

Using an arithmetic sequence, it is found that the clock chimes 132 times in a 24-h period.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

\(a_n = a_1 + (n - 1)d\)

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

The sum of the first n terms is given by:

\(S_n = \frac{n(a_1 + a_n)}{2}\)

In this problem, as the day is divided in two 12-hours period, the total will be twice the sum of the 12 elements of the following sequence:

{0, 1, 2, 3, ..., 11}

In which \(a_1 = 0, a_11 = 11, n = 12\).

Then:

\(T = 2\frac{12(0 + 11)}{2} = 12 \times 11 = 132\)

The clock chimes 132 times in a 24-h period.

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Answer: A

Step-by-step explanation:

The correct option is A.

In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given is that a graph,

So, from the graph we can concluded that it is an exponential and positive function,

Therefore, as x increases y also increases.

We know that the exponential function is given by =

y = abˣ

So, when x = 0, y = 100,

100 = a × b⁰

a = 100

When x = 4, y = 150,

150 = 100 × b⁴

b⁴ = 1.5

b = 1.11

y = 100(1.11)ˣ

Change = 110-100 / 100 × 100% = 10%

Therefore, we can say the value of a $100 stock grows in value by 10% each year.

Hence the correct option is A.

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Answer: I'd say a broad audience made up of all kinds of people

It had different parts and concepts that could entertain any age group

Answer:

A broad audience made up of all kinds of people

Step-by-step explanation:

The probability of picking an odd number ball in fraction form is; 6/11

We are told that a bag contains eleven balls labelled 1 through 11. These numbers are;

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11. This is a total of 11 numbers.

The even numbers are a total of 5 while the odd numbers are a total of 6.

Now, the probability of selecting an odd number will be;

P(selecting odd number) = Number of possible odd numbers/Number of Total Numbers

Plugging in the relevant numbers gives;

P(selecting odd number) =  6/11

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Answer:

$79.45

Step-by-step explanation:

4.5% of 70 = 3.15

3.15x 3 = 9.45

70+9.45 = $79.45

In a central potential problem, which involves a particle interacting with a central force, there can be two types of degeneracies that occur:

radial degeneracy and angular degeneracy.

1. Radial Degeneracy:

Radial degeneracy occurs when multiple energy eigenstates have the same energy but different radial wavefunctions. It arises due to the spherical symmetry of the central potential.

Let's consider a central potential described by V(r), where r is the radial distance from the center.

The Schrödinger equation for the radial part of the wavefunction can be solved using the radial equation.

The energy eigenvalues obtained from solving this equation are independent of the angular quantum numbers (l and m) but depend only on the principal quantum number (n).

As a result, different radial wavefunctions with the same energy but different values of l and m can exist, leading to radial degeneracy.

Physically, radial degeneracy implies that particles with the same energy can occupy different radial orbits around the central potential.

For example, in an atom, electrons with the same principal quantum number (n) but different values of the angular quantum numbers (l and m) occupy different atomic orbitals.

These orbitals have different shapes and radial distributions while sharing the same energy level.

Mathematically, radial degeneracy arises from the fact that the radial part of the wavefunction depends only on the radial coordinate (r) and not on the angular coordinates (θ and φ).

The angular part, characterized by the angular quantum numbers, contributes to the orbital angular momentum and does not affect the energy eigenvalues.

2. Angular Degeneracy:

Angular degeneracy occurs when multiple energy eigenstates have the same energy and the same angular wavefunctions but different values of the angular quantum numbers (l and m).

This type of degeneracy arises due to the rotational symmetry of the central potential.

The angular part of the wavefunction is given by the spherical harmonics, which are eigenfunctions of the angular momentum operator.

Different values of l and m determine the shape and orientation of the wavefunction but do not affect the energy eigenvalues.

Physically, angular degeneracy implies that particles with the same energy occupy orbitals with the same shape and orientation but different amounts of orbital angular momentum.

For example, in an atom, electrons with the same principal quantum number (n) and the same value of l but different values of m occupy different subshells, which have the same energy but different orientations in space.

Mathematically, angular degeneracy arises from the fact that the angular part of the wavefunction depends on the angular coordinates (θ and φ) and is determined by the eigenfunctions of the angular momentum operator.

The energy eigenvalues depend only on the radial part of the wavefunction and are independent of the values of l and m.

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Answer:

Division

Step-by-step explanation:

Answer:

division

Step-by-step explanation:

when you divide you split into even groups

Answer:

48

Step-by-step explanation:

8x3x2= 48

Answer:

its 48

Step-by-step explanation:

8x3x2= 48

The linear equation that gives the dollar value V of the product in terms of the year t is V = - $5600t + $344,000.

V(t) is a function of t that expresses the value in the year 2000+t.  

We know that the decrease is $5600 per year.

So,

V(t) = -$5600t + c  

where c is the constant.

V(15) =  -$5600 (15) + c = $260,000     [t = 15]

Hence, we can say that -  

c = $260,000 + $5600 (15)

c= $260,000 + $84,000

c= $344,000

Now we got the value of c. We can write the equation as follows -

V = - $5600t + $344,000

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Answer:

hai :D

Step-by-step explanation:

Also try D

Answer:

\(12^{12}\)

Step-by-step explanation:

Using exponent rules, we know that:

\(x^a \div x^b = x^{a-b}\).

Since we are dividing \(12^{16}\) by \(12^4\), then simplified, this totals out to \(12^{16-4}\) or \(12^{12}\).

Hope this helped!

Answer:

\(12^{12}\)

Step-by-step explanation:

\(\frac{12^{16}}{12^4}\\\\\frac{a^b}{a^c}=a^{b-c}\\\\\frac{12^{16}}{12^4}=12^{16-4}=\boxed{12^{12}}\)

Hope this helps.

✪According to question:-

Ben is 6 years older than Ishaan

So :-

put supposed values

Original Ages :-

✪Verification :

1st condition:-

put original ages

LHS=RHS

Hence verified !

Ben's age = 8 years

Answer: did you make that up ??

Step-by-step explanation:

Answer:

A. Alternate interior

B. Transitive property

C. Converse alternate interior angles theorem.