Can anybody help e with this question ?? 9! - 5!

Answers

Answer 1
Answer: 9! - 5!
(9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) - (5 × 4 × 3 × 2 × 1)
(72 × 42 × 20 × 6 × 1) - (20 × 6 × 1)
(3024 × 120 × 1) - (120 × 1)
(362880 × 1) - (120 × 1)
362880 - 120
362760

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Solve for x. Your answer must be simplified.x/7 ≥−6

Answers

Answer:

x ≥−42

Step-by-step explanation:

x/7 ≥−6

Multiply each side by 7

x/7 * ≥−6*7

x ≥−42

A movie theater charges 5 for an adult ticket and 2 for a child's ticket. One Saturday the theater sold 785 tickets for 3,280. How many adult and children tickets were sold for the movie saturday?

Answers

Answer: 570 adult tickets and 215 children tickets were sold

Step-by-step explanation:

Let x represent the number of adult tickets that were sold for the movie Saturday.

Let y represent the number of children tickets that were sold for the movie Saturday.

One Saturday the theater sold 785 tickets. This means that

x + y = 785

The movie theater charges 5 for an adult ticket and 2 for a child's ticket. The total sales on Saturday was 3280. This means that

5x + 2y = 3280 - - - - - - - - - - --- 1

Substituting x = 785 - y into equation 1, it becomes

5(785 - y) + 2y = 3280

3925 - 5y + 2y = 3280

- 5y + 2y = 3280 - 3925

- 3y = - 645

y = - 645/- 3

y = 215

x = 785 - y = 785 - 215

x = 570

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:

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consider a job that pays $100,000 per year federal income taxes 19% and state income tax is 7% what is the annual total of the required deductions of federal and state income tax

Answers

Answer:

$26,000.

Step-by-step explanation:

We have been given that a job that pays $100,000 per year federal income taxes 19% and state income tax is 7%.

The annual total of the required deductions of federal and state income tax would be 19\%+7\%=26\%.

To find the total amount, we will find 26% of $100,000.

(26)/(100)* \$100,000

26* \$1000

\$26,000

Therefore, the annual total of the required deductions of federal and state income tax is $26,000.

first multiply 100,000 and 19% equaling 19,000

Then multiply 100,00 and 7% equaling 7,000

Lastly add 7,000 and 19,00 together to get your answer

Answer: 26,000

Morgan is walking her dog on an 8-meter-long leash. She is currently 500 meters from her house, so the maximum and minimum distances that the dog may be from the house can be found using the equation |x – 500| = 8. What are the minimum and maximum distances that Morgan’s dog may be from the house?

Answers

The minimum distance is 492 meters from the house (500 - 8 = 492), and the maximum distance is 508 meters from the house (500 + 8 = 508). The dog may be slightly closer to the house, depending on how long the dog is, or if Morgan is using a leash extender.

The minimum and maximum distances that Morgan’s dog may be from the house are 492 and 508 meters.

How to calculate the distance?

From the information given, Morgan is currently 500 meters from her house.

The minimum distance will be:

= 500 - 8 = 492

The maximum distance will be:

= 500 + 8

= 508

Learn more about distance on:

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Can anybody help me with that ?

Answers

the total voltage across the end points is 5 V 
so, Vtotal = V(thermistor) + V(resistor) 
5= 2 +Vr 
Vr= 3 Volt 
the current passing through the Resistor I= V/ R
so I = 3/1050 
I=1/350 A
while the Resistor and thermistor are series the I(total) = I(thermistor) = I(resistor) = 1/350 A 
Voltage at the thermistor = 2V 
so r = V/ I 
then R(thermistor) = 700 ohm