Solution:
Let the original number be x .
As per the problem I took a number, wrote a 9 to the right of it,
So we have x9
Again added the doubled original number to the result.
x9+2x
The resulting sum is 633. so we can write

Hence the original number is 52.
Answer:
A
Step-by-step explanation:
-3x^2 + 2y^2 = 10
2y^2 = 10 + 3x^2
y^2 = 5 + 3/2x^2
distance between two points is given by
d = sqrt((x2 - x1)^2 + (y2 - y1)^2) = sqrt((x - 4)^2 + (y - 0)^2) = sqrt((x - 4)^2 + y^2) = sqrt((x - 4)^2 + 5 + 3/2x^2)
For d to be minimum (closest), dd/dx = 0
(2(x - 4) + 3x)/2sqrt((x - 4)^2 + 5 + 3/2x^2) = 0
2(x - 4) + 3x = 0
2x - 8 + 3x = 0
5x = 8
x = 8/5 = 1.6
y^2 = 5 + 3/2(1.6)^2 = 5 + 3/2(2.56) = 221/25
y = sqrt(221/25) = 2.97
Therefore, the required point is (1.6, 2.97)
Answer:
Step-by-step explanation:
6x + 2x + 7x = 180 Every triangle has a measure of 180o
15x = 180 Divide by 15
x = 180/15
x = 12
The longest side will be 7x
7*12 = 84
The exponential function that represents the number of users on the website after t is given by:

The daily rate of change is of 20.82%.
<h3>What is an exponential function?</h3>
An increasing exponential function is modeled by:

In which:
- A(0) is the initial value.
- r is the growth rate, as a decimal.
For this problem, the parameters are given as follows:

Hence the equation that represents the number of users on the website after t is given by:

An year has 365 days, hence the rate of change per day is given by:
76/365 = 0.2082 = 20.82%.
The daily rate of change is of 20.82%.
More can be learned about exponential functions at brainly.com/question/25537936
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