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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<span>The answer is 97. The first expression is 1+4=5. In the next expression, both numbers are increased by 1 while their sum is increased by 7: (1+1)+(4+1) = (5+7). 2+5=12. In the next expression, both numbers are increased by 1 again, but the sum is increased by the next odd number (which is 9): (2+1)+(5+1)=(12+9). 3+6=21. So, the series will look like this: 1+4=5. 2+5=12. 3+6=21.4+7=33. 5+8=46. 6+9=61. 7+10=78- 8+11=97.</span>
Answer:
Step-by-step explanation:
(a) radius is the bottom leg of the right triangle formed by the slopped edge and the vertical line from the tip to the center of the base. So that's easy enough with the pythagorean theorem.
15^2 + b^2 = 34^2
b = sqrt(1156 - 225)
b = 30.512
(b) The surface area can be looked at as the surface area of the circular base + the surface area of the actual cone.
area of a circle is pi*r^2 and the surface area of the cone, excluding the base, is pi*r*s, where s is the slant height. If you want to know where that one comes from it kinda takes some calculus to understand but I can link a video to explain it.
pi*r^2 + pi*r*s
pi(r^2+rs) I factored out pi to make things a little easier.
pi(931+30.512*34)
1968.408pi Feel free to multiply out pi.
(c) Volume for a cone (or any kind of pyramid) is area of the base times the height all divided by 3.
so since we know the area of the base we can just plug in.
(pi*r^2*h)/3
(pi*931*15)/3
4655pi
Solution:
we are given that ΔABC and ΔXYZ are similar triangles.
As we know , when two triangles are similar then the ratios of their corrsponding sides are equal.
Here we have
BA = x + 9, AC = x + 7, YX = x + 5, and XZ = x + 4
So we can write
Hence then value of x=-1.
Answer:
x = -2
y = 5/2
Step-by-step explanation:
See it in the pic.
