Answer:
-95%
Step-by-step explanation:
300 - 6000 /
6000 x 100% = -95%
Be safe and have a day
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41
Expression : 3 x 12 months=36 +5 rabbits her already had =41
Answer:
![Recursive\ formula\ a_n=3a_{n-1}-8,\ a_1=7](https://tex.z-dn.net/?f=Recursive%5C%20formula%5C%20a_n%3D3a_%7Bn-1%7D-8%2C%5C%20a_1%3D7)
Step-by-step explanation:
Recursive Formula: The formula that defines the every term of sequence using previous terms.
![a_n=3^n+4\\\\a_1=3^1+4\\\\a_1=3+4\\\\a_1=7](https://tex.z-dn.net/?f=a_n%3D3%5En%2B4%5C%5C%5C%5Ca_1%3D3%5E1%2B4%5C%5C%5C%5Ca_1%3D3%2B4%5C%5C%5C%5Ca_1%3D7)
![a_n=3^n+4...................................(1)\\\\a_{n-1}=3^{n-1}+4..........................(2)\\\\Multiply\ by\ 3\ both\ the\ sides\\\\3a_{n-1}=3\times (3^{n-1}+4)\\\\3a_{n-1}=3\times 3^{n-1}+3\times 4\\\\3a_{n-1}=3^{n}+12\\\\3a_{n-1}==3^n+4+8\\\\From\ eq(1)\ 3^n+4=a_n\\\\3a_{n-1}=a_n+8\\\\Subtract\ 8\ from\ the\ both\ sides\\\\3a_{n-1}-8=a_n+8-8\\\\a_n=3a_{n-1}-8](https://tex.z-dn.net/?f=a_n%3D3%5En%2B4...................................%281%29%5C%5C%5C%5Ca_%7Bn-1%7D%3D3%5E%7Bn-1%7D%2B4..........................%282%29%5C%5C%5C%5CMultiply%5C%20by%5C%203%5C%20both%5C%20the%5C%20sides%5C%5C%5C%5C3a_%7Bn-1%7D%3D3%5Ctimes%20%283%5E%7Bn-1%7D%2B4%29%5C%5C%5C%5C3a_%7Bn-1%7D%3D3%5Ctimes%203%5E%7Bn-1%7D%2B3%5Ctimes%204%5C%5C%5C%5C3a_%7Bn-1%7D%3D3%5E%7Bn%7D%2B12%5C%5C%5C%5C3a_%7Bn-1%7D%3D%3D3%5En%2B4%2B8%5C%5C%5C%5CFrom%5C%20eq%281%29%5C%203%5En%2B4%3Da_n%5C%5C%5C%5C3a_%7Bn-1%7D%3Da_n%2B8%5C%5C%5C%5CSubtract%5C%208%5C%20from%5C%20the%5C%20both%5C%20sides%5C%5C%5C%5C3a_%7Bn-1%7D-8%3Da_n%2B8-8%5C%5C%5C%5Ca_n%3D3a_%7Bn-1%7D-8)
![Recursive\ formula\ a_n=3a_{n-1}-8,\ a_1=7](https://tex.z-dn.net/?f=Recursive%5C%20formula%5C%20a_n%3D3a_%7Bn-1%7D-8%2C%5C%20a_1%3D7)
Basically what you need to do is add up the expressions, 7x and 3x and make it equal to 90 degrees. Then solve for x. Substitute the value of x for each expression to determine the values of each angle.
7x + 3x = 90
10x = 90
X = 90/10
X = 9.
Angle 1 = 7(9) = 63 degrees
Angle 2 = 3(9) = 27 degrees.
Check
63 + 27 = 90
90 = 90.
Number of male students with X hair + Number of female students with X hair = Total number of students with X hair
(where X is any hair color)
Number of Y students with brown hair + Number of Y students with blonde hair + Number of Y students with hair of another color = Total number of Y students with any hair color
(where Y is either male or female)
Total number of male students + Total number of female students = Total number of students with brown hair + Total number of students with blonde hair + Total number of students with hair of another color = Total number of students overall
There are 39 total students. 21 of them are female. So 39 - 21 = 18 of them are male.
13 students had brown hair. 11 had blonde hair. So 39 - 13 - 11 = 15 had hair of another color.
13 students had brown hair. 5 male students had brown hair. So 13 - 5 = 8 female students had brown hair.
11 students had blonde hair. 4 female students had blonde hair. So 11 - 4 = 7 male students had blonde hair.
18 students are male. 5 had brown hair and 7 had blonde hair. So 18 - 5 - 7 = 6 of them had hair of another color.
21 students are female. 8 had brown hair and 4 had blonde hair. So 21 - 8 - 4 = 9 of them had hair of another color.
Put all this into the table (see attached).