the scale factor is 2.
because
if you look at the length <em>AL</em><em> </em>in the smaller shape, it is 2 squares.
now if you look at the length <em>AL</em><em> </em>in the enlarged shape, it is 4 squares.
to find the scale factor, do 4 ÷ 2 which is 2.
therefore the scale factor is 2
Answer:
The function for the outside temperature is represented by
, where t is measured in hours.
Step-by-step explanation:
Since outside temperature can be modelled as a sinusoidal function, the period is of 24 hours and amplitude of temperature and average temperature are, respectively:
Amplitude


Mean temperature


Given that average temperature occurs six hours after the lowest temperature is registered. The temperature function is expressed as:
![T(t) = \bar T + A \cdot \sin \left[2\pi\cdot\frac{t-6\,h}{\tau} \right]](https://tex.z-dn.net/?f=T%28t%29%20%3D%20%5Cbar%20T%20%2B%20A%20%5Ccdot%20%5Csin%20%5Cleft%5B2%5Cpi%5Ccdot%5Cfrac%7Bt-6%5C%2Ch%7D%7B%5Ctau%7D%20%5Cright%5D)
Where:
- Mean temperature, measured in degrees.
- Amplitude, measured in degrees.
- Daily period, measured in hours.
- Time, measured in hours. (where t = 0 corresponds with 5 AM).
If
,
and
, the resulting function for the outside temperature is:
![T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right]](https://tex.z-dn.net/?f=T%28t%29%20%3D%2085%5C%C2%BA%20%2B%2015%5C%C2%BA%20%5Ccdot%20%5Csin%20%5Cleft%5B%5Cfrac%7Bt-6%5C%2Ch%7D%7B24%5C%2Ch%7D%20%5Cright%5D)
1. If a shift in demand and/or supply has taken place, identify the change and list the determinant.
Answer:
The answer is below
Step-by-step explanation:
The demand has increased or shifted to the right.
The supply did not change.
The determinant for this situation is the increase in demand
However, with the price increment, the will be an increase in supply.
The total amount of its donated funds is 43
.
Given,
In the question:
A charity received a donation of 12.7 million.
If this represents 29% of the charity's donated funds.
To find the total amount of its donated funds.
Now, According to the question:
Based on the given conditions:
Received donation is = 12.7 million
Charity Funds = 29%
Formulate;
12.7 ÷ 29%
12.7/29%
= 12.7/0.29
Multiply both the numerator and denominator with the same integer
= 1270/29
= 43
Hence, The total amount of its donated funds is 43
.
Learn more about Percentage at:
brainly.com/question/19559470
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Answer:
3x²+11x+20
Step-by-step explanation:
x(3x+5)+2(3x+5)
3x²+5x+6x+20
3x²+11x+20