Answer:
(See explanation for further details).
Step-by-step explanation:
The sign does not affect the domain, as second-order polynomials are continuous functions. Nonetheless, the sign affect the range of function in the sense that elements can be lesser and equal to zero (a < 0) or greater and equal to zero (a > 0).
Answer:
105°
Step-by-step explanation:
25+50+x=180
75+x=180
x=105
In the above problem, you want to find the number of multiples of 7 between 30 and 300.
This is an Arithmetic progression where you have n number of terms between 30 and 300 that are multiples of 7. So it is evident that the common difference here is 7.
Arithmetic progression is a sequence of numbers where each new number in the sequence is generated by adding a constant value (in the above case, it is 7) to the preceding number, called the common difference (d)
In the above case, the first number after 30 that is a multiple of 7 is 35
So first number (a) = 35
The last number in the sequence less than 300 that is a multiple of 7 is 294
So, last number (l) = 294
Common difference (d) = 7
The formula to find the number of terms in the sequence (n) is,
n = ((l - a) ÷ d) + 1 = ((294 - 35) ÷ 7) + 1 = (259 ÷ 7) + 1 = 37 + 1 = 38
Answer:
LCM of 21,24 and 26 is 2184
Step-by-step explanation:
We need to find LCM of 21,24 and 26
For finding LCM divide the given numbers by a prime number if two of the numbers are divisible by that prime number
2 | 21,24,26
2 | 21,12,13
2 | 21,6,13
3 | 21,3,13
7 | 7,1,13
13 | 1,1,13
| 1,1,1
So, LCM of 21,24 and 26 is: 2 x 2 x 2 x 3 x 7 x 13 = 2184
Answer: 2700
Step-by-step explanation: Lets use the "Simple Interest" expression to find interest.
First, Convert 6% to a decimal, which is 0.06.
I, interest= 7500 x 0.06 x 6
7500 x 0.06 x 6 = 2700
Cheryl will earn $2700 interest.
