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Colt1911 [192]
2 years ago
9

How do you do this? Please give explanation

Mathematics
1 answer:
Komok [63]2 years ago
8 0

Answer:

  2, 1, 3, 4, 6, 5

Step-by-step explanation:

The rate of change of function f(x) on an interval [a, b] is defined as ...

  average rate of change = (f(b) -f(a))/(b -a)

For the function h(x) = 2^-x, this will be ...

  arc = (h(b) -h(a))/(b -a) = (2^-b -2^-a)/(b-a) = (2^-a)(2^(a-b) -1)/(b -a)

__

1. For the interval [0, 2], the average rate of change is ...

  arc = (2^-0)(2^(0-2) -1)(2 -0) = (1/4 -1)/2 = -3/8 = -0.375

  1 goes in the 2nd answer blank

2-6. For the other intervals, it is convenient to let a calculator or spreadsheet compute the values. The average rates of change are shown in the attachment.

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In a given figure which lines are parallel? justify your answer<br><br> Helpp
Sladkaya [172]

Answer:

MB // HG by the converse of the Corresponding Angles Theorem ⇒ C

Step-by-step explanation:

Two lines are parallel if intersected by a line and formed one of these types of angles.

  • Corresponding angles equal in measures (shaped letter F)
  • Alternate angles equal in measures (shaped letter Z)
  • Interior supplementary angles, the sum of their measures is 180° (shaped letter U)

In the given figure, there are 4 lines intersected

∵ Lines MB and HG intersected by line BG

∵ There are two angles marked by the same mark

∴ They are equal in measures

∵ They are in the corresponding position

∴ Lines MB and HG are parallel

∴ MB // HG by the converse of the Corresponding Angles Theorem

3 0
3 years ago
What is bigger 4/5 or 8/10
statuscvo [17]
They are equal because if you make 4/5 into a denominator of 10 it is 8/10
6 0
3 years ago
Read 2 more answers
The tables show the number of chin-ups done by students in two different gym classes. 2nd Period 3 4 12 14 7 7 8 4 8 3 11 10 9 8
Mekhanik [1.2K]

Answer:

On average, students in the 4th period did more chin-ups than students in the 2nd period

Step-by-step explanation:

Given the table values as

2nd Period     3  4 12 14 7  7  8  4  8  3  11  10  9   8 10 4  8 7  13 9

4th Period      10 3 14 14 16 15 7 12 7  10 12  8  10  9 6  11  9 1   2 5

Find the average chin-ups done by students in the gym classes

For 2nd Period gym class, the average will be;

=sum of chin-ups ÷ number of students

=sum of chin-ups in 2nd period gym class=

=3 + 4 +12+ 14+ 7 + 7 + 8+  4 + 8 + 3+  11+  10+  9 +  8 +10+ 4+  8+ 7 + 13+ 9\\\\=159

=number of students=20

Average=159÷20

=\frac{159}{20} =7.95\\\\\\=8

For 4th Period gym class

Sum of chin-ups=

=10+ 3+ 14+ 14 +16 +15+ 7 +12 +7+ 10+ 12 +8+ 10+ 9+ 6+ 11+ 9 +1 +2 +5\\\\\\=181

Number of students=20

Average number of chin-ups in the 4th period gym class

=\frac{181}{20} =9.05\\\\\\=9

Average number of chin-ups in 2nd Period Class = 8

Average number of chin-ups in 4th Period Class= 9

Conclusion; On average students in the 4th period gym class made more chin-ups (9) than those in 2nd period gym class (8).

3 0
4 years ago
Read 2 more answers
1. A caterer charges a flat fee plus $8.50 per
Korolek [52]

Answer:

$1,324

Step-by-step explanation:

$8.50 * 65 = $552.50. $601.50 - $552.50 = $49. So the flat fee would be $49.

$8.50* 150 = $1,275. With the flat fee it would be $1,275+$49 = $1,324.

8 0
3 years ago
1. 1/|x-1|&gt;=0<br> 2. 1/|x-1|&lt;=0<br> 3. |x/(x-1)|&gt;0<br> 4. |x/(x-1)|&lt;0
babunello [35]
I think the answer is 4

7 0
3 years ago
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