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Aleonysh [2.5K]
2 years ago
10

A true-false test contains 21 questions. In how many different ways can this test be completed.

Mathematics
1 answer:
KatRina [158]2 years ago
8 0

There are 5.1090942e+19 different ways this test can be completed

<h3>In how many different ways can this test be completed?</h3>

The given parameters are:

Questions, n =21

Options = 2 i.e. true or false

The number of different ways this test can be completed is calculated as:

Ways = n!

Substitute 21 for n in the above equation.

So, we have:

Ways = 21!

Expand the above equation

Ways = 21 * 20 * 19 * ...... 1

Evaluate the products

Ways = 5.1090942e+19

Hence, there are 5.1090942e+19 different ways this test can be completed

Read more about factorials at:

brainly.com/question/25997932

#SPJ1

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Geometry math question
lawyer [7]

Supplementary angles add up to 180

so (2x + 3) + (3x + 2) = 180

.

<u>Solve x:</u>

2x + 3 + 3x + 2 = 180

5x + 5 = 180

5x = 175

x = 35

.

<u>Find the angles:</u>

One angle = (2x + 3) = 2(35) + 3 = 73°

Other angle = (3x + 2) = 3(35) + 2 = 107°

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Answer: The two angles are 73° and 107°

4 0
3 years ago
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The following steps are used to rewrite the polynomial expression (x+2y)(x-5y)
grin007 [14]
1. distributivity of the multiplication (a+b)(c-d)=a(c-d)+b(c-d)
2. the same
3. comutativity of the multiplication a*b=b*a
4. we give common factor xy: -5xy+2xy=xy(-5+2)=-3xy

5 0
3 years ago
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Please help.........
faust18 [17]
The answer for PA is 60/13. This is found by
The area of the rectangle is 60, therefore, the big triangle areas are 30 each. We know that the hypotenuse is 13, so therefore, we get
1/2(13*PA) = 30. This then simplifies to 
13 * PA = 60, which then turns into 
PA = 60/13.

Hope this helps and have a nice day:)
5 0
4 years ago
How can i find The function of f(x) = 150 (1.3)^t
natka813 [3]

Answer:

See below.

Step-by-step explanation:

In comments, you said you wanted it graphed.

If it says f(x) on the left side, the equation should have an 'x' on the right side, so something is fishy here.

But, in an effort to try and help you ....

With the data you have given, I would graph it just like y = 150 (1.3)^x

You can pick various values for x, like -3,-2,-1,0,1,2,3 and see what y is for each one, then plot the points on graph paper.

If x = 0, y= 150(1.3)^0 = 150(1) = 150  because anything to power zero is 1

If x = -1, y= 150(1.3)^(-1) = 150(1/1.3) ≈ 132.7

If x = +1, y= 150(1.3)^(1) = 150(1.3) = 195

And so on.

I did the graph on DESMOS and it has a very large scale.

4 0
3 years ago
Let x=2. evaluate the expression. x+4/3x​
Verdich [7]

Answer:

1

Step-by-step explanation:

x=2          

2+4/3(2)

6/6

1

8 0
3 years ago
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