Answer:
x=-9
Step-by-step explanation:
first you make the coefficients equal to each other by doing a common factor which in this case is 5. Then you have to do the variable for each time the common number is repeated which is 5^x * 5^x= 5^(x+3)*5^(x+3)*5^(x+3) This would make it equal to 5^2x=5^(3x+9). Since the non exponents are common factors you can get rid of them and solve for the exponent by doing 2x=3x+9. You solve that equation to get x=-9.
Answer:
x = 14.7
Step-by-step explanation:
Using the sine rule
Substitute the given values.
Rearrange the equation to get x on it's own.
x = 14.72246211
x = 14.7 (1dp)
The first two negatives cancel out and you're left with positive 4. Now go inside the square root and do the exponent. -4*-4 = 16. Then do the -4*3*1 = -12. Do 16-12 = 4. now the square root of 4 = 2. at the dominator is 2*3 = 6. right now they problem should look like 4+- 2/ 6. from there you split the problem in two. so you have 4+2/6 & 4-2/6 then you solve both problems.
6/6 2/6
1 1/3
1 & 1/3 are your answers. I hope this helped!
Answer:
20 nickels
23 dimes
Step-by-step explanation:
hope this helps!
Answer:
, all integers where n≥1
Step-by-step explanation:
we know that
The explicit equation for an arithmetic sequence is equal to
a_n is the th term
a_1 is the first term
d is the common difference
n is the number of terms
we have
Remember that
In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference.
To find out the common difference subtract the first term from the second term
substitute the given values in the formula
The domain is all integers for 
