Find the simplified form of (t^4/10y^4)^-4

Answers

Answer 1
Answer: The answer is [(10,000*y^16)/t^16]. At first, you have to distribute the exponent -4 to the numerator and denominator by virtue of the law of exponent, (a/b)^n = [(a^n)/(b^n)]. After distribution, you get (t^-16)/[(10^-4)*(y^-16)]. To simplify the negative exponent, follow the law of exponent: a^-m = 1/a^m. Thus, you now have [(10^4)*(y^16)]/(t^16). Hence, the answer is [(10,000*y^16)/t^16].

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Which conjunction or disjunction is equivalent to |t – 7| > 12?A. t – 7 > 12 or t – 7 < –12B. t – 7 < 12 and t – 7 > –12C. t – 7 < 12 or t – 7 > –12D. t – 7 > 12 and t – 7 < –12
Each month Allison gets a $15 allowance and earns $100 working at the theater. She uses the expression 15x+100y to keep track of her earnings Part A Part B Part C

Examples of whole numbers

Answers

Whole numbers are numbers that begin with 0 and go on indefinitely.

Examples of whole numbers.

56

642,000

983

1,000,001

982,344  

Whole numbers is the set of all counting numbers plus zero.
For exemple: 1, 2, 3, 10, 123, 654, 9988, 10100, 1234567890.

Find the center of the circle that can be circumscribed about ABC with A(0,0) B(6,0) C(6,4)

Answers

This can be solved by the distance formula.
If the center of the circle is at (h,k)
r² = (h - 0)² + (k - 0)²
r² = (h - 6)² + (k - 0)²
r² = (h - 6)² + (k - 4)²

Equating the equations
h² + k² = (h - 6)² + k²
h = 3

(h - 6)² + k² = (h - 6)² + (k - 4)²
k = 2

Therefore, the center of the circle is at (3,2).

It is estimated that light takes 100,000 years to travel the full distance across our galaxy, the Milky Way. If light travels 3.0 x 100000000 m in 1 second, how long is the Milky Way?
Give your answer in standard form.

Answers


Well, technically, you've only told us the time to travel across
our galaxy, so we don't have enough information to calculate 
anything about its length.

Fortunately, some of us are vaguely aware that our galaxy is
roughly round, at least in its plane.  So "across" means its diameter,
and that's the same in any direction through the center.

Relieved, we can now proceed to calculate:

               (3 x 10⁸ meter/sec) x (8.64 x 10⁴ sec/day)
                                              x (3.65 x 10² day/yr) x (10⁵ years)

            = (3 x 8.64 x 3.65 x 10¹⁹)  meters

           =         94.608 x 10¹⁹  meters

           =  946,080,000,000,000,000,000 meters

           (about  587,867,000,000,000,000,000 miles) .
 

Which expression is equivalent to (x²+3x-4)(x-5)1) x³+8x²-19x+20
2) x³-2x²-19x+20
3) x³-2x²-11x+20
4) x³-8x²-11x+20

Answers

(x^2+3x-4)(x-5)=x^3-5x^2+3x^2-15x-4x+20=\n \n=x^3-2x^2-19x+20\ \ \ \Rightarrow\ \ \ Ans.\ B

In how many ways can 15 basketball players be listed in a program A. 15
B. 1
C. 32,432,400
D. 1,307,674,368,000

Answers

C) 32,432,400 im not 100% sure though

Solve the system of equations using either the substitution method or the multiplication/addition methodusing his given
3x+2y=14
2x-4y=4

6x+4y=28
2x-4y=4
8x = 32
x = 4
2y = 14 - 12 = 2
y = 1
(x , y) = (4 , 1)


Question:How can check your solution by writing the system as a matrix equation and using the inverse matrix?.

Answers

Your matrix would be made up of the coefficients in your equation. And it will be something like this:[3         2
 2       −4
]     
=  (14
                           4
)
The left side can be called your "A" matrix. I gave you the idea so that you may continue with it. Hope this can help

Final answer:

To check the solution, represent the system of equations as a matrix equation, find the inverse of the coefficient matrix, and multiply both sides of the equation by the inverse.

Explanation:

To check the solution by writing the system as a matrix equation and using the inverse matrix, we need to represent the system of equations as a matrix equation. Let's consider the given system of equations:

3x + 2y = 14

2x - 4y = 4

To do this, we can write the coefficients and constants of the system of equations as matrices:

[3 2] [x] = [14]

[2 -4] [y] = [4]

Now, we can write the system of equations as a matrix equation: AX = B, where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix.

Next, we need to find the inverse of matrix A. If the inverse exists, we can multiply both sides of the matrix equation by the inverse of A to find the solution for X.

If we find the inverse of A and multiply both sides of the equation by the inverse, we get:

X = A-1B

Substituting the values of A-1 and B, we can find X, which represents the solution to the system of equations. Therefore, we can check our solution by writing the system as a matrix equation and using the inverse matrix.

Learn more about Systems of Equations here:

brainly.com/question/21620502

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