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avanturin [10]
3 years ago
11

If 153=2(z+z)n153=2(z+z)n153, equals, 2, left parenthesis, z, plus, z, right parenthesis, n, then what is the value of 2n(2z)-19

32n(2z)−1932, n, left parenthesis, 2, z, right parenthesis, minus, 193?
Mathematics
1 answer:
Nostrana [21]3 years ago
8 0
What you must do for this case is to rewrite the first expression to find its value.
 We have then:
 153 = 2 (z + z) n
 Rewriting:
 153 = 2n2z
 Then,
 2n (2z) -193
 Substituting
 153-193 = -40
 Answer:
 the value of 2n (2z) -193 is
 -40
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arsen [322]

Answer:

It will take 10 hours.

Step-by-step explanation:

By using the formula of motion,

v = u + at

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a = Acceleration by which the speed is increasing

t = Duration or time

Now substitute the values given in the question,

80 = 50 + 3t

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3 years ago
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Calculate the average rate of change of f(x) over the interval [-4, -1] using the formula [ BLANK ] The value of f(-1) is [BLANK
lesantik [10]
Answers:
The formula is [f(-1)-f(-4)]/[3]
The value of f(-1) is 3
The value of f(-4) is -3
The average rate of change is 2

==============================================

Explanation:

For the first blank, we use the formula
[ f(b) - f(a) ]/[ b - a ]
where 'a' and 'b' are the endpoints for the x interval

In this case, a = -4 and b = -1. When you plug those values into the formula above, you get...
[ f(b) - f(a) ]/[ b - a]
[ f(-1) - f(-4)]/[ -1 - (-4) ] 
[ f(-1) - f(-4)]/[ -1+4 ]
[ f(-1) - f(-4)]/[ 3 ]
which is why the answer is choice C for the first blank

-------------------------------------------

To compute the value of f(-1), we draw a vertical line through -1 on the x axis. This vertical line crosses the diagonal function graph at the point (-1,3). The y value of this point is what we want. Plugging in x = -1 leads to y = 3. This is why f(-1) = 3
If you want, you can draw a horizontal line through (-1,3) and you'll see it touching 3 on the y axis.

-------------------------------------------

Follow similar steps as above to compute f(-4). Draw a vertical line through x = -4 on the x axis. Mark the point where the vertical line crosses the diagonal line. This point is (-4,-3). Optionally draw a horizontal line over til you hit the y axis and you'll find that y = -3 corresponds to x = -4

This is why f(-4) = -3

-------------------------------------------

We'll use the last three sections to compute the average rate of change. Everything combines together building up to this moment.

From the first part, we had the formula
[ f(b) - f(a) ]/[ b - a ]
[ f(-1) - f(-4)]/[ 3 ]

We can replace the "f(-1)" with 3 since we found that f(-1) = 3
Similarly, f(-4) = -3 so we can replace the "f(-4)" with -3

Doing those replacements and simplifying leads to...

[ f(-1) - f(-4)]/[ 3 ]
[ 3 - (-3)]/[ 3 ]
[ 3 + 3]/[ 3 ]
6/3
2

So the average rate of change is 2

Note: because the entire graph is a straight line, the average rate of change for any interval a < x < b is going to be equal to the slope m. In this case, the slope of the line is m = 2/1 = 2. We move up 2 units each time we move to the right 1 unit along the diagonal line.

6 0
3 years ago
A woman starts out walking due north for 2 miles, and then she turns due west and continues for another 2 miles. How far from he
Mrac [35]
For this case we can model the problem as a rectangle triangle.
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 d ^ 2 = 2 ^ 2 + 2 ^ 2&#10;
 d =  \sqrt{2 ^ 2 + 2 ^ 2} &#10;&#10;d =  \sqrt{4 + 4} &#10;&#10;d =  \sqrt{8} &#10;&#10;d =  2\sqrt{2} &#10;
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She is:
 
d = 2\sqrt{2}
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Please help me with this question!!
KonstantinChe [14]

Answer:

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