Answer:
676
Step-by-step explanation:
you just add them
Step-by-step explanation:
-2, -8/3, -10/3, -4, -14/3
Write as multiples of 1/3.
-6/3, -8/3, -10/3, -12/3, -14/3
This is an arithmetic sequence where the first term is -6/3 and the common difference is -2/3.
Therefore, the recursive formula is:
aᵢ₊₁ = aᵢ − 2/3, a₁ = -2
Answer:
D
Step-by-step explanation:
Triangle BDC is a right triangle (If you dont understand I can explain in depth). Since it's a right triangle, we can use the pythagorean theorem to find the length of BD. The pythagorean theorem states that the length of the smaller legs squared = the longest side squared. So we can set up the equation
+
=
where x is the length of the missing side (BD). If we were to solve for x, (I think you should know how to do this but if not I can explain), you get 12
The <em><u>correct answer</u></em> is:
At least 7 times.
Explanation:
Since 10% of the water in the jug is removed each time, this means that 100-10=90% of the water remains.
After two times, we would have 0.9(0.9) = 0.81 = 81% of the water; each time she pours, the number of times 0.9 is multiplied by itself changes. This makes this an exponential inequality (it is not an equation, as we want "less than half of the water"):

To solve this, we will use logarithms:

For this problem, I'd use cross-multiplication.
9/12 = x/8.
When cross multiplying, multiply 12*x and 9*8. This leads to a new equation:
12x = 72.
Then you solve as an algebra problem.
*Divide 12 on both sides*
x = 6.