Answer: x=40
Step-by-step explanation x-0.3x=28
Add similar elements x-0.3x=0.7x
0.7x=28
Multiply both sides by 10
0.7x · 10= 28 · 10
Refine
7x=280
Divide both sides by 7
Simplify
x = 40
Answer:
8.331 ft should be the answer if you're meaning centimeters!
Answer:
946.353
Step-by-step explanation:
Answer:
5.6 cm
Step-by-step explanation:
As you can see in the picture, there is a right triangle formed. The right angle is opposite the 6.5 cm side, so that is the hypotenuse, and the other sides are the two legs. The side we do not know in the right triangle is the height of the pyramid.
We know that a²+b²=c² for a hypotenuse c and two legs a and b in a right triangle.
height²+3.3²=6.5²
subtract 3.3² from both sides to isolate height²
31.36 = height²
square root both sides to isolate height
height = 5.6 cm
Answer:
The population in 1995
501170
Is the population increasing or decreasing?
The population is decreasing
The rate of population change
![-10124.99(0.98^{x} )](https://tex.z-dn.net/?f=-10124.99%280.98%5E%7Bx%7D%20%29)
population in the year 2020
302439
Step-by-step explanation:
Since 1995 is the base year, the population in 1995 is simply found by setting x equal to 0 in the given function;
![f(0)=501170(0.98^{0})=501170](https://tex.z-dn.net/?f=f%280%29%3D501170%280.98%5E%7B0%7D%29%3D501170)
The population is clearly decreasing over time since the base of the exponent, 0.98, is less than 1.
The rate of population change is obtained by differentiating the function with respect to x using the rule;
![if y=a^{x}\\\frac{dy}{dx}=a^{x}*lna\\](https://tex.z-dn.net/?f=if%20y%3Da%5E%7Bx%7D%5C%5C%5Cfrac%7Bdy%7D%7Bdx%7D%3Da%5E%7Bx%7D%2Alna%5C%5C)
The population in the year 2020 is obtained by setting x equal to 25 in the population function since 2020-1995 = 25;
![f(25)=501170(0.98^{25}) =302439](https://tex.z-dn.net/?f=f%2825%29%3D501170%280.98%5E%7B25%7D%29%20%3D302439)