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larisa86 [58]
3 years ago
9

In how many ways can you answer 15 true/false questions

Mathematics
1 answer:
Anna71 [15]3 years ago
4 0

Answer:

32768

Step-by-step explanation:

Each question has 2 options.

On a true/false test with one question, there are 2¹, or 2 possible answers

On a test with 2 questions, there are 2², or 4 possible answers.

On a test with 3 questions, there are 2³, or 8 possible answers.

So, 2¹⁵ = 32768 possible ways.

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8n^2-16n=6n-12 plz help.
Grace [21]

what are the options ?
3 0
3 years ago
in the interval 0° ≤ x ≤360°, find the values of x for which tan x =1.3562 Give your answers to the nearest degree
belka [17]

Answer:

The answers are 54 degrees and 234 degrees

Step-by-step explanation:

mathematically we have the tan positive on only two axes

these are the first (0-90) degrees and the 3rd quadrant (180-270)

We start by find the arc tan of the angle value

Thus;

x = arc tan (1.3562)

x = 54 degrees

On the third quadrant, we have it that;

180 + 54 = 234 degrees

4 0
3 years ago
Please answer my question !<br> Which of the following statements is true about the graph?
Nikolay [14]

Domain: the smallest possible x-value to the largest possible x-value

In the case of this graph, we see the parabola starts at x = -3, and continues on forever.

Domain: [-3, infinity)

Range: the smallest possible y-value to the largest possible y-value

In the case of this graph, the parabola will continue to expand forever.

Range: (-infinity, infinity)

Therefore, while the domain has a restriction, the range does not and is all real numbers.

Hope this helps!

7 0
3 years ago
Three consecutive integers have a sum of -42. Write and solve an equation to find the three integers.​
IrinaK [193]
  • Let the first integer be x.

  • Let the second integer be x + 1 .

  • Let the third integer be x + 2 .

<h2><u>According</u><u> to</u><u> the</u><u> </u><u>question</u></h2>

x + ( x + 1 ) + ( x + 2 ) = -42

Opening the brackets and simplifying :

x + x + 1 + x + 2 = -42

3x + 3 = -42

Now , solving equation :

\bf  \rightarrow  \: \:3x  \: + \:  3  \: =  \: -42

\bf \rightarrow \: \: 3x  \: = \:  -42  \: - 3

\bf  \rightarrow \:3x \:  = \:  -45 \:

\bf  \rightarrow \:x \:   =  \:  \frac{ - 45}{ \: 3}  \\

\bf  \rightarrow \:x \:   =  \:   \cancel\frac{ - 45}{ \: 3}   \:   \: ^{ - 15}  \\

\bf  \rightarrow \:x \:   =   \:  - 15

{\boxed{ \Large{ \red{ \rm{ \underline{ Now \:  \:  substitute}}}}}}

\bf  \implies  \: \:x \:    =  \:  - 15

\bf  \implies \:  \:x  \:  +  \: 1 \:  =  \:  - 15 \:  + \:  1 \:  =  \:  - 14

\bf  \implies \:  \:x  \:  +  \:2 \:  =  \:  - 15  \: + \:  2 \:  =  \:  - 13

-15 , -14 and -13 are the three consecutive integers.

6 0
3 years ago
Solve for the portion. Round to hundredths when necessary.<br> What number is 0.4% of 500?
Yuri [45]

Answer:

2

Step-by-step explanation:

0.4%×500=2

Hope it helps!!!

4 0
3 years ago
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