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luda_lava [24]
3 years ago
9

Professor Easy's final examination has 9 true-false questions followed by 3 multiple-choice questions. In each of the multiple-c

hoice questions, you must select the correct answer from a list of five. How many answer sheets are possible? choices
Mathematics
1 answer:
trapecia [35]3 years ago
4 0

Answer:    2⁹5³ = 64,000

<u>Step-by-step explanation:</u>

There are 9 questions with 2 options (true or false) = 2⁹

There are 3 multiple questions with 5 options = 5³

true/false questions AND multiple choice questions

                  2⁹               x                5³                            = 2⁹5³

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Factor completely 12a^3d^2 – 6ad^3
lorasvet [3.4K]

Answer:

12a^3d^2-6ad^3

To factor an integer, we need to divide it by the ascending sequence of primes 2, 3, 5

In the end, the number of times each prime divides the original integer becomes its exponent.

Prime number 2  to the power of 2 equals 4 .

Prime number 3 to the power of 1 equals 3 .

2^{2} \times 3\times a^{3} \times b^{2} -(2\times3)ad^{3}

Result:-  6ad^2\left(2a^2-d\right)

<u>  OAmalOHopeO</u>

3 0
3 years ago
Solve the following system by graphing. What is the solution?<br> y=-4x-2<br> y=2x+4
Hunter-Best [27]

Answer:

The answer to your question is (-1, 2)

Step-by-step explanation:

Data

       y = -4x - 2                 Equation l

       y = 2x + 4                  Equation ll

Process

-Graph equation l (green line)

 Plot the point (0, -2)

 Starting from this point plot the point (1, -4), this point comes from the slope.

-Graph the equation ll (blue line)

 Plot the point (0, 4)

 Plot the point (1, 2) starting from the previous point.

-The solution is the point where the lines cross. This point is (-1, 2)

5 0
3 years ago
Algebra 1: Which of the following is the correct slope between (1, -1) and (2, 3)?
blsea [12.9K]
(2,3) I think. I'm not in Algebra 1, so yeah
7 0
3 years ago
Read 2 more answers
A student of the author earned grades of 92, 83, 77, 84, and 82 on herfive regular tests. She earned grades of 88 on the final e
goblinko [34]

The class is weighted as follows:

60% Regular Tests

10% Final Exam

15% Project

15% Homework

The total weighted points possible for the class are as follows:

(100+100+100+100+100)*.6 + 100*.1 + 100*.15 + 100*.15 = 340

To calculate her individual final weighted grade we plug in her scores for each category and complete the following computation:

(92+83+77+84+82)*.6 + 88*.1 + 95*.15 + 77*.15 = 285.4

So her weighted grade percent would be 285.4/340 = 83.9% which is a B.

8 0
3 years ago
Solve the equation 6/5y-10=-4<br> X=
defon

6/5y-10=-4

move -10 to the other side

sign changes from -10 to 10

6/5y-10+10= -4+10

6/5y= 6

Mutiply by 5/6 for both sides

6/5(5/6)y=6(5/6)

Cross out 6/5 and 5/6 , divide by 5 and 6 then becomes y

Cross out 5 and 6 on the right side

x= 5

Answer : x= 5

3 0
3 years ago
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