Answer:
1. 17,20
2. 40,80
Step-by-step explanation:
1. 5+3=8
8+3=11
11+3=14
14+3=17
17+3=20
pattern is +3
2. 2.5*2=5
5*2=10
10*2=20
20*2=40
40*2=80
pattern is *2
Answer:
$293.83
Step-by-step explanation:
She started with $153. The next day she withdrew $15.72 six times, that is $15.72*6 = $94.32
We have to subtract $94.32 from the starting amount, that is $153 - $94.32 = $58.68
After that, she deposited $235.15. We have to add that to the current balance.
Now she has $58.68 + $235.15 = $293.83
Therefore, her account balance after these transactions is $293.83
Answer:
1.A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
2.
Solution given:
We have
Sin²
-Cos ²=1
Sin²=1+Cos²
Sin=
3.
4Tan²+4Cot²-3Tan²-3Cot²
4Tan²-3Tan²+4Cot²-3Cot²
Tan²-Cot²
Answer:
j² - 5j²k - 2
Step-by-step explanation:
3j² - j²k - 6 - 4j²k - 2j² + 4
To simplify this polynomial, we can collect like terms. A term is number(s) or variable(s) that are grouped together by multiplication. <u>Like terms have the same variable and exponent</u>.
We have three groups of like terms:
The j-squares (j²), the j-squared k (j²k) and the constants (no variable).
Remember to include the negatives!
The j-squares are: 3j² ; -2j²
The j-squares k are: - j²k ; - 4j²k
The constants are: - 6 ; 4
Simplify:
3j² - j²k - 6 - 4j²k - 2j² + 4
Rearrange the polynomial by like terms
= (- j²k - 4j²k) + (3j² - 2j²) + (- 6 + 4)
Add or subtract the like terms
= (-5j²k) + (j²) + (-2)
Remove brackets and rearrange so the negative is not first
= j² + - 5j²k + - 2
Simplify where two signs are together. Adding a negative is subtraction.
= j² - 5j²k - 2 Simplified
