Answer:
Step-by-step explanation:
<u>Opposite / adjacent = tangent</u>
- tan 29° = 19 /x
- x = 19 / tan 29°
- x = 34.3 (rounded)
Answer: 7300
Step-by-step explanation: 5200 - 4000 = 1200. 1200 divided by four hours is 300. So 300 bacteria grow per hour. Then you multiply 300 by 11 hours and get 3300 bacteria plus the starting 4000 and your final number is 7300
Answer:
136,900
Step-by-step explanation:
If you mean 'to the power of 2', then you're talking about exponents.
37 times 10 equals 370.
370 to the power of 2, or 370 x 370, equals 136, 900.
370
+ 370
______
136,900
Answer:
3, -7, -17, -27, -37, -47
Step-by-step explanation:
Given: First term: a= 3 and Common Difference, d = -10
We need to find the first six term of the sequence.
Formula: ![a_n=a+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da%2B%28n-1%29d)
where,
nth term of series
a is first term
n is number of term
d is common difference
For Second term, n=2
![a_2=3+(2-1)(-10) = 3-10=-7](https://tex.z-dn.net/?f=a_2%3D3%2B%282-1%29%28-10%29%20%3D%203-10%3D-7)
For Third term, n=3
![a_3=3+(3-1)(-10) = 3-20=-17](https://tex.z-dn.net/?f=a_3%3D3%2B%283-1%29%28-10%29%20%3D%203-20%3D-17)
For Fourth term, n=4
![a_4=3+(4-1)(-10) = 3-30=-27](https://tex.z-dn.net/?f=a_4%3D3%2B%284-1%29%28-10%29%20%3D%203-30%3D-27)
For Fifth term, n=5
![a_5=3+(5-1)(-10) = 3-40=-37](https://tex.z-dn.net/?f=a_5%3D3%2B%285-1%29%28-10%29%20%3D%203-40%3D-37)
For Sixth term, n=6
![a_6=3+(6-1)(-10) = 3-50=-47](https://tex.z-dn.net/?f=a_6%3D3%2B%286-1%29%28-10%29%20%3D%203-50%3D-47)
Hence, The sequence is 3, -7, -17, -27, -37, -47
Answer:
-5ab + 5a - 3
Step-by-step explanation:
- (-ab + 5a - 8) - (4ab - 5) =
- - ab + 5a - 8 - 4ab + 5 =
- (-1 - 4)ab + 5a - 3 =
- -5ab + 5a - 3