Answer:
∛50 cm, 2∛50 cm, 3∛50 cm
Step-by-step explanation:
V= wlh
V=300 cm³
w= 1/3l
h= 2/3l
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- l*1/3l*2/3l=300
- 2/9l³=300
- l³= 1350
- l= ∛1350= 3∛50 cm
- w= 1/3*3∛50= ∛50 cm
- h= 2/3*3∛50= 2∛50 cm
This expression is equivalent (9+3)4
Answer:
Domain: All the real numbers
Range: All the real numbers
Step-by-step explanation:
The domain of a function is the complete set of possible values of the independent variable 'x'. That is to say, all the values that 'x' can take:
In this case, f(x)= 2x+1, the independent variable has no restrictions. Meaning that 'x' can take all the Real Values. In set notation: x∈ℝ.
The range of a function is the complete set of all possible resulting values of the dependent variable 'y'. In this case, given that the independent variable has no restrictions, the dependent variable 'y' can take any value. So, the range is: y ∈ ( −∞, ∞ ) - All the real numbers.
1st term: 20 dollars
2nd term:40 dollars
3rd term: 60 dollars
4th term:80 dollars
5th term:100 dollars
6th term:120 dollars
I hope this is correct.
Answer:
Step-by-step explanation:
We observe that the difference of terms is 4, 7 and 15 and next level difference is 4. It means the sequence is quadratic.
<u>We can compare this with simple quadratic sequence </u>
<u>and find out that doubling each term gives us </u>
This is close to our sequence, write the terms as follows to find exact rule
<u>The first term: </u>
- a₁ = 4 = 2*1² + 2 = 2*1² + 1 + 1
<u>The second term</u>
- a₂ = 11 = 2*2² + 3 = 2*2² + 2 + 1
<u>The third term:</u>
- a₃ = 22 = 2*3² + 4 = 2*3² + 3 + 1
<u>The fourth term:</u>
- a₄ = 37 = 2*4² + 5 = 2*4² + 4 + 1
<u>The nth term as per observation above is:</u>