Answer:
40.6 inches
Step-by-step explanation:
The plant's initial height is 7 inches tall.
It grows 1.3 inches each day for 27 days. This means that after 27 days, it must have grown an extra:
1.3 * 27 = 35.1 inches
It must have grown an extra 35.1 inches after 27 days. Therefore, its new height after 27 days is:
7 + 35.1 = 42.1 inches
The plant then begins falling over 0.5 inch for the next 3 days. After 3 days, it must have fallen over by a height:
0.5 * 3 = 1.5 inches
Therefore, after 30 days, the plant's new height is:
42.1 - 1.5 = 40.6 inches
The plant's height after 30 days is 40.6 inches
Answer:
1000 miles
Step-by-step explanation:
Given the following :
Number of miles driven :
First trip = 240 miles
Second day = 205 miles
Third day = 315 miles
Fourth day; miles driven before arriving at their final destination = 220 miles
Total number of miles driven after 4 days before reaching their destination :
(240 + 205 + 315 + 220) = 980 miles
However, they still haven't reached their destination ;
Using front end estimation :
We can take the total miles recorded and make an estimation based on the first digit of the recorded miles traveled:
In other to estimate 980 using front end estimation : the actual number is replaced with a number with only one nonzero digit (which is the first digit)
Hence,
980 - - - - > we round the digit after 9 either 1 or 0, since it is greater than 4, then it is rounded to and added to the first digit, all subsequent dots are rounded to zero
Hence 980 - - - - > 1000
Hence, estimated miles driven = 1000 miles
Answer:
f(x)=3*2^x
Step-by-step explanation:
Answer: is an irrational number
Step-by-step explanation:
Like adding three to pi (3.14159265358979323846264....)is still going to be irrational
1.)
=(x-8i)(x+8i)
x^2+8ix-8ix-64i^2
x^2-64i^2
x^2-64(-1)
x^2+64
2.)
=(4x-7i)(4x+7i)
16x^2+28ix-28ix-49i^2
16x^2-49i^2
16x^2-49(-1)
16x^2+49
3.)
=(x+9i)(x+9i)
x^2+9ix+9ix+81i^2
x^2+18ix+81(-1)
x^2+18ix-81
4.)
=(x-2i)(x-2i)
x^2-2ix-2ix+4i^2
x^2-4ix+4(-1)
x^2-4ix-4
5.)
=[x+(3+5i)]^2
(x+5i+3)^2
(x+5i+3)(x+5i+3)
x^2+5ix+3x+5ix+25i^2+15i+3x+15i+9
x^2+6x+10ix+30i+25i^2+9
x^2+6x+10ix+30i+25(-1)+9
x^2+6x+10ix+30i-25+9
x^2+6x+10ix+30i-16
Hope this helps :)