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Marina86 [1]
3 years ago
11

You are taking a multiple-choice test that has 7 questions. Each of the questions has 5 choices, with one correct choice per que

stion. If you select one of these options per question and leave nothing blank, in how many ways can you answer the questions?
Mathematics
1 answer:
Vlad1618 [11]3 years ago
6 0

Answer:

78,125 ways

Step-by-step explanation:

Since each question has 5 answer options, then each question has 5 ways to answer it, therefore, for each question it would be:

1st question: 5 ways to answer yourself

2nd question: 5 ways to answer yourself

.

.

.

7th question: 5 ways to answer yourself

All the ways would be the total of the multiplication of each question, that is, 5 ^ 7, since there are 7 questions.

5 ^ 7 = 78125

There would be a total of 78,125 ways to answer the exam.

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Find the difference of -3/5 - (-5/9)<br> 20 points y'all<br><br> thanks<br> -Throckmorton
AlladinOne [14]
The work to your question

6 0
3 years ago
What is the graph of the linear inequality y≤−3x+4?
tatiyna

Answer:

It would look like the picture I attached at the bottom.

Step-by-step explanation:

We know that the slope is -3 and the y intercept is (0,4) (plugging in 0 for x will get you that point), and then you can just graph an equation like you normally would, using rise/run to go down 3 units for every one unit you go right, and plugging in easy x values to check your work.

It gets a little tricky because the question then adds the inequality, and we see that y is now less than <em>or equal to </em>the original equation.

Since it is less than, we can shade all the values below the graph.

(Also, you should probably note for future reference that if it was just less than, the shading would look the same while the graph itself would be dotted because the values on the line are nor included in the solution set).

Desmos is a great website to use if you're having trouble graphing in the future :)

5 0
3 years ago
Solve the system using substitution 5y-x=-5 7y-x=-23
dlinn [17]

5y-x= -5      7y-x= -23

x=5y+5

7y-(5y+5)= -23

7y-5y-5= -23

2y= -23+5

2y= -18

y= -9


x= 5y+5

x= (5*-9)+5

x= -45+5

x= -40

8 0
3 years ago
The number of rows in an auditorium can be represented by the function f(x) = 80x. the number of seats in each row can be repres
Dominik [7]

Applying multiplication of functions, the total number of seats in the auditorium is given by:

h(x) = 80x² + 560x.

<h3>How polynomial functions are multiplied?</h3>

They are multiplied applying the distributive property, that is, all the terms are multiplied and then the common terms are added.

In this problem, the functions are given as follows:

  • f(x) = 80x.
  • g(x) = x + 7.

Then the multiplication is:

h(x) = f(x)g(x) = 80x(x + 7) = 80x² + 560x.

More can be learned about multiplication of functions at brainly.com/question/13136492

#SPJ1

4 0
2 years ago
A forest covers 31,000 acres. A survey finds that 0.8​% of the forest is​ old-growth trees. How many acres of​ old-growth trees
Murrr4er [49]

Answer:

248 acres

Step-by-step explanation:

A forest covers 31,000 acres

0.8% of the forest old growth trees

There are 0.8% × 31000 = 248 acres of old growth trees

3 0
2 years ago
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