F(t)=262(1.6)^t
Initially the tundra has: f(0)=?
t=0→f(0)=262(1.6)^0
f(0)=262(1)
f(0)=262 caribou
Answer:
Initially, the tundra has 262 caribou, and every 1 year, the number of caribou increases by a factor of 1.6
Answer:
- 1-4.
1. The students' mouths were opened in shock.
2. They could not believe the box's contents.
3. Today's activity is examining plants.
4. Sam's stomach ached from laughing so hard.
-5-8.
5. The classroom's glass doors were closed.
6. The students were using the school's computers.
7. The principal's coughing disturbed the students and their two teachers.
8. The teachers' robots rushed toward the door.
Step-by-step explanation:
Hope it helps :)
Make sure you put similar numbers (those with "m" and those without in this case) on one side and the others on the other side (also when you change, change the signs for each one moved to the opposite)
7m -4m - 6m = 7+1+16
- 3 m = 24
-3m/ -3 = 24/-3 (what you do to one side, you do to the other)
m = -8 (answer)
hope this helps
Consider all options:
A.
![\left[\begin{array}{cc}5&5\\-4&-4\end{array}\right] \cdot \left[\begin{array}{cc}5&5\\-4&-4\end{array}\right] =\left[\begin{array}{cc}5\cdot 5+5\cdot (-4)&5\cdot 5+5\cdot (-4)\\-4\cdot 5+(-4)\cdot (-4)&-4\cdot 5+(-4)\cdot (-4)\end{array}\right]=](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%265%5C%5C-4%26-4%5Cend%7Barray%7D%5Cright%5D%20%5Ccdot%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%265%5C%5C-4%26-4%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%5Ccdot%205%2B5%5Ccdot%20%28-4%29%265%5Ccdot%205%2B5%5Ccdot%20%28-4%29%5C%5C-4%5Ccdot%205%2B%28-4%29%5Ccdot%20%28-4%29%26-4%5Ccdot%205%2B%28-4%29%5Ccdot%20%28-4%29%5Cend%7Barray%7D%5Cright%5D%3D)
![=\left[\begin{array}{cc}5&5\\-4&-4\end{array}\right].](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%265%5C%5C-4%26-4%5Cend%7Barray%7D%5Cright%5D.)
This option is true.
B.
![\left[\begin{array}{cc}6&5\\5&6\end{array}\right] \cdot \left[\begin{array}{cc}6&5\\5&6\end{array}\right] =\left[\begin{array}{cc}6\cdot 6+5\cdot 5&6\cdot 5+5\cdot 6\\5\cdot 6+6\cdot 5&5\cdot 5+6\cdot 6\end{array}\right]=](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D6%265%5C%5C5%266%5Cend%7Barray%7D%5Cright%5D%20%5Ccdot%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D6%265%5C%5C5%266%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D6%5Ccdot%206%2B5%5Ccdot%205%266%5Ccdot%205%2B5%5Ccdot%206%5C%5C5%5Ccdot%206%2B6%5Ccdot%205%265%5Ccdot%205%2B6%5Ccdot%206%5Cend%7Barray%7D%5Cright%5D%3D)
![=\left[\begin{array}{cc}61&60\\60&61\end{array}\right].](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D61%2660%5C%5C60%2661%5Cend%7Barray%7D%5Cright%5D.)
This option is false.
C.
![\left[\begin{array}{cc}0.5&-0.5\\-0.5&0.5\end{array}\right] \cdot \left[\begin{array}{cc}0.5&-0.5\\-0.5&0.5\end{array}\right] =\left[\begin{array}{cc}0.5\cdot 0.5+(-0.5)\cdot (-0.5)&0.5\cdot (-0.5)+(-0.5)\cdot 0.5\\-0.5\cdot 0.5+0.5\cdot (-0.5)&-0.5\cdot (-0.5)+0.5\cdot 0.5\end{array}\right]=](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0.5%26-0.5%5C%5C-0.5%260.5%5Cend%7Barray%7D%5Cright%5D%20%5Ccdot%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0.5%26-0.5%5C%5C-0.5%260.5%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0.5%5Ccdot%200.5%2B%28-0.5%29%5Ccdot%20%28-0.5%29%260.5%5Ccdot%20%28-0.5%29%2B%28-0.5%29%5Ccdot%200.5%5C%5C-0.5%5Ccdot%200.5%2B0.5%5Ccdot%20%28-0.5%29%26-0.5%5Ccdot%20%28-0.5%29%2B0.5%5Ccdot%200.5%5Cend%7Barray%7D%5Cright%5D%3D)
![=\left[\begin{array}{cc}0.5&-0.5\\-0.5&0.5\end{array}\right].](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0.5%26-0.5%5C%5C-0.5%260.5%5Cend%7Barray%7D%5Cright%5D.)
This option is true.
D.
![\left[\begin{array}{cc}0.5&0.5\\-0.5&0.5\end{array}\right] \cdot \left[\begin{array}{cc}0.5&0.5\\-0.5&0.5\end{array}\right] =\left[\begin{array}{cc}0.5\cdot 0.5+0.5\cdot (-0.5)&0.5\cdot 0.5+0.5\cdot 0.5\\-0.5\cdot 0.5+0.5\cdot (-0.5)&-0.5\cdot 0.5+0.5\cdot 0.5\end{array}\right]=](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0.5%260.5%5C%5C-0.5%260.5%5Cend%7Barray%7D%5Cright%5D%20%5Ccdot%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0.5%260.5%5C%5C-0.5%260.5%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0.5%5Ccdot%200.5%2B0.5%5Ccdot%20%28-0.5%29%260.5%5Ccdot%200.5%2B0.5%5Ccdot%200.5%5C%5C-0.5%5Ccdot%200.5%2B0.5%5Ccdot%20%28-0.5%29%26-0.5%5Ccdot%200.5%2B0.5%5Ccdot%200.5%5Cend%7Barray%7D%5Cright%5D%3D)
![=\left[\begin{array}{cc}0&0.5\\-0.5&0\end{array}\right].](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0%260.5%5C%5C-0.5%260%5Cend%7Barray%7D%5Cright%5D.)
This option is false.
E.
![\left[\begin{array}{cc}-6&-6\\5&5\end{array}\right] \cdot \left[\begin{array}{cc}-6&-6\\5&5\end{array}\right] =\left[\begin{array}{cc}-6\cdot (-6)+(-6)\cdot 5&-6\cdot (-6)+(-6)\cdot 5\\5\cdot (-6)+5\cdot 5&5\cdot (-6)+5\cdot 5\end{array}\right]=](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-6%26-6%5C%5C5%265%5Cend%7Barray%7D%5Cright%5D%20%5Ccdot%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-6%26-6%5C%5C5%265%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-6%5Ccdot%20%28-6%29%2B%28-6%29%5Ccdot%205%26-6%5Ccdot%20%28-6%29%2B%28-6%29%5Ccdot%205%5C%5C5%5Ccdot%20%28-6%29%2B5%5Ccdot%205%265%5Ccdot%20%28-6%29%2B5%5Ccdot%205%5Cend%7Barray%7D%5Cright%5D%3D)
![=\left[\begin{array}{cc}6&6\\-5&-5\end{array}\right].](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D6%266%5C%5C-5%26-5%5Cend%7Barray%7D%5Cright%5D.)
This option is false.
Answer: correct options are A and C.
Answer:
What is the equation?
Step-by-step explanation: