Answer:
The greatest number of t-shirts that the Sports Committee can purchase is 232.
Step-by-step explanation:
The student council raised $2,790 during its annual fundraiser.
Each t-shirt costs $12.
The total cost of buying x t-shirts is given by:
What is the greatest number of t-shirts the Sports Committee can purchase?
The total cost has to be lesser, or equal, to 2790. So
Since you cant buy half a shirt.
The greatest number of t-shirts that the Sports Committee can purchase is 232.
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.
You can first use the fundamental trigonometric identity:
sin(x) ^2 + cos(x) ^2 = 1
=> cos(x) ^2 = 1 - sin(x) ^2
=> cos(x) ^2 = 1 - (-4/5)^2 = 1 - 16/25 = (25 - 16) / 25 = 9 /25
=> cos (x) = +/ - √ (9/25) = +/- 3/5
Now, analyze the sign.
In the fhird quadrant the cosine is negative, so the answer is cos(x) = - 3/5.
Answer: option C. - 3/5
Answer:
Yes
Step-by-step explanation:
If you are looking for an area of a triangle that is not a right triangle, and it shows the height of that triangle (it should be a dotted straight line), than you can use the formula to get the area.
<em>So if you know the base and height of a non right triangle, you can use the formula.</em>
My answer is wrong sorry. I didn't notice it.