Hmm
2 times 4=8
3 times 8 is not 27
1 times 1=1
2 times 4=8
3 times 9=27
aka
1 times 1^2=1
2 times 2^2=8
3 times 3^2=27
x times x^2=x^3
the rule is y=x^3
Answer:
<em>s= </em>-5.57 (rounded to the nearest hundredth)
Step-by-step explanation:
1. Multiply s and 2 by 7.
You'll get -7s-14. We'll come back to this later
2. Subtract 12 from 37.
You'll get 25
3. Add 14 to both sides so that you cancel out the -14.
The equation stands as -7s= 39
4. Divide both sides by -7 so that we leave <em>s </em>by itself.
s= -5.57142857
Answer:
The expression for the other number is (n-1)
Step-by-step explanation:
we know that
The difference between two consecutive number is equal to 1
Let
x ----> the smaller of two consecutive number
n ----> the larger of two consecutive numbers
we have that
Solve for x
therefore
The expression for the other number is (n-1)
So we can set up a right triangle in this situation with one of the legs being 21.4m and the height being 15m. Then we can use trigonometric formulas to find the angle of elevation of the sun.
Since we have the dimensions for the opposite and the adjacent sides, we can use the trigonometric function tangent to find the angle:
So let's plug this in:
However this is in radians - to convert to degrees, we must use the formula:
So then let's solve for degrees:
So now we know that the angle of elevation is 67.89°.
Answer:
The explicit formula is a = 5 - 6n
Step-by-step explanation:
The explicit formula of the arithmetic sequence of the recursive formula
a = first term; a = a + d is a = a + (n - 1)d, where
- d is the common difference between each two consecutive terms
- n is the position of the number
∵ The recursive formula is a = -1 and a = a - 6
→ Compare it with the formula above
∴ a = -1 ⇒ 1st term
∴ d = -6 ⇒ common difference
→ Substitute them in the form of the explicit formula
∵ a = -1 + (n - 1)(-6)
∴ a = -1 + (-6)(n) - (-6)(1)
∴ a = -1 + -6n - (-6)
∴ a = -1 - 6n + 6
→ Add the like term
∴ a = 5 - 6n
∴ The explicit formula is a = 5 - 6n