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user100 [1]
3 years ago
12

You are taking a​ multiple-choice test that has 55 questions. each of the questions has 33 answer​ choices, with one correct ans

wer per question. if you select one of these choices for each question and leave nothing​ blank, in how many ways can you answer the​ questions
Mathematics
1 answer:
siniylev [52]3 years ago
5 0
<span>Each question has 5 possible choices for an answer>
1st question: 5 ways
2nd question: 5 ways
.......
12th question: 5 ways

----
Total # of possible answers 5*5*5...*5*5 = 5^12 = 244,140,625
-----
Cheers,
Stan H.
========================= 
The answer is 244,140,625</span>
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Whenever you sign a lease for an apartment, you typically have to pay a security deposit before you even move in; this is in cas
Maslowich

Answer:

360

365

Step-by-step explanation:

4 0
3 years ago
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The graphs of the function f (given in blue) and g (given in red) are plotted above. Suppose that u(x)=f(x)g(x) and v(x)=f(x)/g(
Rus_ich [418]
U(x) = f(x).(gx)
v(x) = f(x) /  g(x)

Use chain rule to find u(x) and v(x).

u '(x) = f '(x) g(x) + f(x) g'(x)

v ' (x) = [f '(x) g(x) - f(x) g(x)] / [g(x)]^2

The functions given are piecewise.

You need to use the pieces that include the point x = 1.

You can calculate f '(x) and g '(x) at x =1, as the slopes of the lines that define each function.

And the slopes can be calculated graphycally as run / rise of each graph, around the given point.

f '(x) = slope of f (x); at x = 1, f '(1) = run / rise = 1/1 = 1

g '(x) = slope of g(x); at x = 1, g '(1) = run / rise = 1.5/ 1 = 1.5

You also need f (1) = 1 and g(1) = 2

Then:

u '(1) =  f '(1) g(1) + f(1) g'(1) = 1*2 + 1*1.5 = 2 + 1.5 = 3.5

v ' (x) = [f '(1) g(1) - f(1) g(1)] / [g(1)]^2 = [1*2 -  1*1.5] / (2)^2 = [2-1.5]/4 =

= 0.5/4 = 0.125

Answers:
u '(1) = 3.5
v '(1) = 0.125

 


 

3 0
3 years ago
HELP WITH MY WHOLE TEST ;-; jensnshsjsjjsjsjsjsjsksksmsknnknksnisi
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The answer should be -6.
8 0
3 years ago
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Describe what happens to the graph of y=3x + 4 when the slope is changed 1/3 one over three
kumpel [21]

Answer:

see the explanation

The graph in the attached figure

Step-by-step explanation:

we have

y=3x+4

This is a linear equation (the graph is a line)

The y-intercept is the point (0,4) ---> value of y when the value of x is equal to zero)

The x-intercept is the point (-4/3,0) ---> value of x when the value of y is equal to zero)

The slope is m=3

If the slope is changed to m=1/3

we have

y=(1/3)x+4

This is a linear equation too (the graph is a line)

The y-intercept is the point (0,4) ---> is the same

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The second line becomes a lot less steep

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see the attached figure to better understand the problem

5 0
3 years ago
Solve -2/3 and x- intercept 5
lions [1.4K]

Answer:

y= -2/3x+10

Step-by-step explanation:

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formula is y-y1=m(x-x1)

(5,0) ---> 5=x1 0=y1

y-0= -2/3(x-5)

y-0= -2/3x+10

+0           +0

y= -2/3x+10

7 0
3 years ago
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