MATHEMATICS COLLEGE

Given the digits 2,5,7,9, 4, and 1, how many 4-digit codes can be made if 4 pointsthe first digit must be even and the last digit must be greater than 6?
80
120
48
144

Answers

Answer 1

Answer:

Answer:

144

Step-by-step explanation:

first digit of the code: only 2 and 4 are the only even numbers availible, so only 2 possibilities for the first digit.

2nd digit of code: 2,5,7,9,1 so 6 possibilities for the 2nd digit.

3rd digit of code: 2,5,7,9,1 so 6 possibilities for the 3rd digit.

4th digit of code: only 7 and 9 are greater tyhan 6 so only 2 possibilities for the 4th digit.

SO...

2 x 6 x 6 x 2 = 144

Related Questions

Find the cost of lodging: A resort offers a double room for $87.00. Meals in the restaurant are $9.00 per person for breakfast, $14.00 per person for lunch, and $16.00 per person for dinner. How much would it cost two people to stay in the resort each day?
Find reason and statements
A rectangle with an area of 324 square meters has a length and width in a ratio of 4:1. What are the length and width?
Juan and Rob Are selling cookie dough for a school fundraiser Juan Has t Cookie dough Orders Rob has 40 cookie dough orders they have a total of 75 cookie dough orders all together
X + y + w = b2x + 3y + z + 5w = 6z + w = 42y + 2z + aw = 1For what values a, b (constants) is the system:(a) inconsistent?(b) consistent w/ a unique sol'n?(c) consistent w/ infinitely-many sol'ns?

19 + 11 - 12² ÷ 3 (12 - 9) · 11)) - 7 =Use PEMDAS for this.

Also it's a made up question

Answers

PEMDAS = Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

First, subtract the numbers in the parentheses, then multiply by 11.

(12 - 9) = (3)

3 x 11 = 33

19 + 11 - 12^2 ÷ 3(33) - 7

Now, just multiply 33 by 3, and then square 12 (12 x 12).

19 + 11 - 144 ÷ 99 - 7

Now, you can divide 144 by 99, this is an infinite number, so..

144 ÷ 99 = 1.455

19 + 11 - 1.455 - 7

Finally add, then subtract.

30 - 1.455 - 7

28.545 - 7

The final answer is 21.545.

If 9x+2y^2−3z^2=132 and 9y−2y^2+3z^2=867, then x+y =

Answers

Answer:

$x + y = (1000)/(9)$

Step-by-step explanation:

Step 1: Identify the approach:

With this problem, the general solution is to try manipulate given data and transform data into a new form, in which, the desired value $(x + y)$ is on the left side and all of other components which do not contain $x$ or $y$ are on the right side.

Step 2: Analyze:

$9x + 2y^(2) - 3z^(2) = 132\n9y - 2y^(2) + 3z^(2) = 867$

Realize that in both equations, the $2y^(2)$ and $3z^(2)$ are in form of different signs. Then adding up corresponding sides of both equation can help eliminate these undesired components.

Step 3: Perform manipulation:

$9x + 2y^(2) - 3z^(2) + 9y - 2y^(2) - 3z^(2) = 132 + 867$

Rearrange:

$(9x + 9y) + (2y^(2) - 2y^(2)) +(3z^(2) - 3z^(2)) = 132 + 867$

Simplify:

$9(x + y) + 0 + 0 = 1000$

Simplify:

$x + y = (1000)/(9)$

Hope this helps!

Help me please!!! :(

Answers

Answer:

the greatest common factor is 5^2 * 7^3

(I think!!!)

Subject: writing equations
Fake answers-reported cuz I’m rly tryna pass this shi.

Answers

Answer:

1) Y-6=-3/2(X-0) 2) Y= -3/2x+6 3) 3x+2y=12

Step-by-step explanation:

-5(4x)+6(3x-2)
Please help ☝

Answers

Answer:

-2x - 12

Step-by-step explanation:

-5(4x)+6(3x - 2)

-20x +18x - 12

-2x - 12

Consider the initial value problem:y' + 5/3y =1 - 1/5t, y(0)= yo

What equation expresses the requirement that the solution touches the t-axis?
a. y(t)= 0
b. y'(t)= 0
c. y''(t)= 0

Answers

Answer:

a. y(t) = 0

Step-by-step explanation:

There are two axis on the graph. One is x-axis which is horizontal line on the graph and the other is y-axis which is vertical side of the graph. The point where x-axis and y-axis meet is origin which has value 0. The equation to write the points of the graph is represented by y(x) = 0. In the given equation there is t variable used in the values.

Final answer:

The requirement that the solution of the given initial value problem 'touches' the t-axis is represented by the equation y(t) = 0. This is because the output of the function is zero at that specific value of t. Contrastingly, y'(t) = 0 and y''(t) = 0 indicate conditions of slope and rate of slope change.

Explanation:

In the given initial value problem, the requirement that the solution 'touches' the t-axis is represented by the equation y(t) = 0. This is because when the function Touches the t-axis, the y-value (output of the function) is zero for that specific value of t.

It's worth noting that y'(t) = 0 and y''(t) = 0 represent the conditions where the slope of a function is zero (which corresponds to a localminimum or maximum), and where the rate of change of the slope is zero (which can indicate a point of inflection), respectively.