Answer:
a)10
b)5120
Step-by-step explanation:
Given that number of ants double after every ten days, form a table that shows numbe of ants from day 1 to day 91
Day Number of Ants
1 10
11 20
21 40
31 80
41 160
<em>51 320-----------------given</em>
<em>61 640------------------given</em>
<em>71 1280----------------given</em>
81 2560
91 5120
Using the given values for number of ants and the number of days, you can notice the trend for values of days and number of ants.After every ten days, number of ants doubles.Using this information, you can navigate backwards up to day 1 and forward up to day 91
Step-by-step explanation:
100% = 96
1% = 100%/100 = 96/100 = 0.96
the temperature changed by 96 - 71 = 25.
how many % are these 25 ?
we check how often 1% fits into 25.
that is done by division :
25 / 0.96 = 26.04166667 ≈ 26%
The greatest number of copies you can et for three dollars is 24.
Answer:
Check the explantion
Step-by-step explanation:
H(t) represent the height of the ball after t seconds.
1)
In order to figure the maximum height of the ball we must minupulate this equation into a form where we can easily find the maximum height.
We can also see this parabola will be downward concaved because it has a negative coefficent for the t^2 term.
a) Let's Manipulate!
Vertex form is a form where we can easily tell the maximum and minimum points. To get in into Vertex form we just need to complete the sqaure.
Lets reanrage the terms
h(t)= -16t^2+144t
Undo the distrubitive propety
h(t)= -16(t^2-9t+20.25)+324
Add and subtract 324.
h(t) = -16(t-4.5)^2+324
COmplete the square.
b) Almost done!
We can now see that the stuff with the brackets is always positive/zero because any real number sqaured is a positive/zero. But than we multiply the positive stuff by a negative number (-16) so its now all negative.
The only exception is when its zero.
And off course if we add 324 to zero its always going to be greater than 324 + a negative number. To get the first term to be zero we can have t = 4.5.
c) Proove it!
h(4.5) = -16(4.5-4.5)^2+324
=324
d) Double Check by graphing!
(Its a attach screenshote by the way)
e) Answer:
The ball will reach its maximum height after 4.5 seconds.
Hoped this helped!,
JoeLouis2