Answer:
2 and 11
Step-by-step explanation:
Let's start by calling these two numbers x and y. Now, you can set up the following system of equations:
x*y=22
x+y=13
You can rearrange the following equation to be x=13-y, and substitute into the first.
(13-y)*y=22
-y^2+13y=22
y^2-13y+22=0
y=2 or 11
x=11 or 2
Hope this helps!
Answer:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Step-by-step explanation:
Answer:
67 cubic inches
Step-by-step explanation:
Given height of cone = 4 inches
Given height of cone is half of diameter of base of cone
If D is diameter, then
4 inches = 1/2 D
=> D = 8 inches
Radius for any circle is half of diameter of circle.
Thus for given cone
radius = 1/2 D = 1/2 * 8 = inches.
Area of circle is given by where r is radius of circle.
Thus area of given base of cone is given as below
We know that volume of cone is given by
volume = 1/3(area of base * height)
Thus,
volume of given cone = 1/3(50.24)*4 =66.98 cubic inches
volume of cone in nearest cubic inches is 67 .
Answer:
- <em>After 1 minute, the population in a colony at 20ºC will be greater than the population in a colony at 30ºC.</em>
Explanation:
The specific question is added on the comments section: <em>After 1 minute, will the population be greater in a colony at 20ºC or 30ºC? Explain</em>
<h2><em>Solution</em></h2>
<u><em>How will the colonies compare in size? </em></u>
To answer this you can either evaluate each polynomial at the corresponding time and then compare or you can subtract the polynomials and then evaluate the resulting polynomial.
I choose the second opion:
20ºC 30ºC
↓ ↓
- <em> t² + 4t + 4 - (t² + 3t + 4 ) = t² - t² + 4t - 3t + 4 - 4 = t</em>
The difference is t (remember that this is number of bacteria).
Evaluate when the time is 1 minute.
In the polynomials, t is in seconds. Then, convert 1 minute to seconds:
Then, t = 60 bacteria is the difference.
Thus, the colony has 60 more bacteria when the temperature is 20ºC than when the temperature is 30ºC.
In fact, since t is always greater than 0, the colony at 20ºC will always have more bacteria than the colony at 30ºC.
Part A: 216 students/ 12 classrooms= 18 students: 1 classroom.
Part B: 104 students/ 4 classrooms= 26 students: 1 classroom.
The average ratio of students to classrooms in both school is:
[(18 students: 1 classroom)+ (26 students: 1 classroom)] /2= 22 students: 1 classroom.
26 students - 22 students= 4 students.
There are 4 students who would have to transfer from School B to School A for the ratios of students to classrooms at both schools to be the <span>same, which is 22 students: 1 classroom.
Hope this helps~</span>