Answer:
The domain is all real numbers.
The initial value is 3
The simplified base is 
Step-by-step explanation:
The given function is
.
To find the initial value, we put x=0 into the function:
.
.
The initial value is actually 3.
The given function is an exponential function, therefore the domain is all real numbers.
The range of this function refers to all values of y for which the function is defined.
The line y=0, is the horizontal asymptote.
The range is 
The simplified base is
.



868 is about 870, and 28 is about 30, so your expression would be 870 divided by 30 which would be 29 and the actual answer is 31, so your estimate would be close to your actual answer.
Answer:
8.5 yards
Step-by-step explanation:
The overall triangle, as shown by the line dividing its hypotenuse in 2, can be shown as 2 right triangles whose lengths and widths are both 7.5 and 4. With this in mind we can use Pythagorean theorem or...
By plugging in 7.5 and 4 into <em>a </em>and <em>b </em>respectively, we get the equation:
Now we can square 7.5 and 4, add them together and then square root the resultant to get our final answer.
- 56.25 + 16 = x^2
- 72.25 = x^2
- √72.25 = x
- x = ±8.5
The length of a triangle cannot be negative so disregard the possible negative value for 8.5.
Answer:
3.6 cm or 36mm
Step-by-step explanation:
So we know that there are 10 millimetres in a centimetre. So we can convert the 18cm into millimetres to make it easy to subtract
18cm*10=180mm
now take the pencil length subtracted by the length of the pen.
180mm-144mm=36mm
now if you want the answer in cm, convert it by dividing the answer by 10
36/10=3.6cm
<em>Hope This Helps :)</em>