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Leokris [45]
3 years ago
7

Expanded form: (4a+4b)^3

Mathematics
1 answer:
TiliK225 [7]3 years ago
7 0

Step-by-step explanation:

use the formula: (a+b)³ = a³+3a²b+3ab²+b³

and place the corresponding values.

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An object is dropped from a building and allowed to freefall to the ground. The height of the object over time is shown in the t
vodomira [7]

Answer: The (magnitude of the) rate of change increases over time. The object drops 16 feet in the first second, but 80 feet in the last second.


Explanation:


1) I will start by showing the table in an easy way to read and understand:


Time (seconds)   Height (feet)

0                           144

1                            128

2                           80

3                             0


2) Rate of change


  • An initial clarification: the rate of change decreases since it is becoming more negative every second, but, in the analysis, the reasonable is to deal with the magnitude of this rate. The results shown below that the rate as a negative value, but the comparison is set about the magnitude of the change.

  • The rate of change is calculated for every pair of consecutive points using this equation:

          rate of change = [change in height] / [time elapsed]


  • Calculations:

a) rate₁: [128 - 144] feet / [ 1 - 0] sec = - 16 feet / sec ⇒ the object drops 16 feet in the first second.


b) rate₂ = [80 - 128] feet / [2 - 1] sec = - 48 feet/sec ⇒ the object drops 48 feet in the next second


c) rate₃ = [0 - 80] feet / [3 - 2] sec = - 80 feet/sec ⇒ the object drops 80 feet in the last second.


The rate of change  is more negative every second: it increases in magnitude over time. The object drops 16 feet in the first second, but 80 feet in the last second.

3 0
3 years ago
Read 2 more answers
A company wants to compare two washing detergents (Brands A and B) to see which best keeps colors from fading. Twenty new, ident
gogolik [260]

Answer:

No, because water temperature is confounded with brand of detergent.

Step-by-step explanation:

There is a very possible chance of allowing a third or confounding variable to have creepwd into the research. The aim was to investigate which of two detergents prevents color from fading. Hence, the test for both detergents should be carried out under the same research condition. However, with adoption of different water temperature for each of detergent A and B, there may be a relationship between fading and water temperature which is not what are trying to investigate. This difference in temperature will thus cause a spurious relationship in our research. Hence, water temperature has been confounded with detergent brand, making this experimental design a bad one.

4 0
3 years ago
An aircraft costs $2954 dollars per hour to operate. The algebraic expression 2954t gives the total cost to operate the aircraft
sdas [7]
10,634.4 total cost



2954t t=3.6h. 2954 x 3.6 = 10,634.4 total cost
6 0
3 years ago
Will give brainilist
zloy xaker [14]
Wait I just did this today let me go get the answers
7 0
3 years ago
...............................
never [62]

Answer:

...................

Step-by-step explanation:

............................

8 0
3 years ago
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