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vaieri [72.5K]
3 years ago
13

A quiz consists of 6 questions. The instructor would like to create different versions of the quiz where the order of the proble

ms are scrambled for each student. In how many ways can this be done?
Mathematics
1 answer:
Alisiya [41]3 years ago
4 0
I believe you would do 6! which is 6*5*4*3*2*1 to find the number of solutions.
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You are skiing down a mountain with a vertical height of 800 feet. The distance from the top of the mountain to the base is 1600
adoni [48]

Answer:

θ  = 30^{0}

Step-by-step explanation:

Since the vertical height of the mountain is 800 feet, and the distance from the top to its base is 1600 feet. Let the angle of elevation be represented by θ, applying the required trigonometric function;

Sin θ = \frac{opposite}{hypotenuse}

Sin θ = \frac{800}{1600}

        = 0.5

θ = Sin^{-1} 0.5

θ  = 30^{0}

Thus, the angle of elevation from the base to the top of the mountain is 30^{0}.

7 0
3 years ago
Emma says the GCF of 16 and 12 is 48. Her friend grace says the answer is right. Who is right? Explain help me plz
Lilit [14]
The GCF is only 12 because 16 can't multiply a number that gives you 48 only 12.
6 0
3 years ago
Simplify each expression. -4x + 1 + 6 - (-9x)
IceJOKER [234]

Step-by-step explanation:

-4x+1+6-(-9x)

-4x+7-(-9x)

5x+7

7 0
3 years ago
Can someone please explain to me how to do this.
JulijaS [17]
Y = x² - 4x + 4
y = 2x - 4

Find intersection of L and C:
x² - 4x + 4 = 2x - 4
x² - 6x + 8 = 0
<span> (x - 2)(x - 4) = 0
x = 2 or x = 4

When x = 2 , y = 2(2) - 4 = 0
When x = 4, y = 2(4) - 4 = 4

Points of intersection = A(2, 0) and B(4, 4)

Find the length of AB:

</span>&#10;\text {Length of AB}=  \sqrt{(4-0)^2 + (4-2)^2} =  \sqrt{16 + 4} = \sqrt{20}  = 4.47 \text{ units}
<span>
Answer: 4.47 units

</span>
4 0
3 years ago
If x = 10, what is the first step you would do to answer 3x 2
Vinvika [58]

Answer:

300

Step-by-step explanation:

X^2=10×10=100

3×100=300

3 0
3 years ago
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