Answer:
Step-by-step explanation:
Problem A
t(1) = 2(1) + 5
t(2) = 2*2 + 5 = 9
t(3) = 2*3 + 5 = 11
t(4) = 2*4 + 5 = 13
So this is the explicit result. Now try it recursively.
t_3 = t_2 + 2
t_3 = 9 + 2
t_3 = 11 which is just what it should do.
t_n = t_(n - 1) + 2
Problem B
t(1) = 3 * 1/2
t(1) = 3/2
t(2) = 3*(1/2)^2
t(2) = 3 * 1/4
t(2) = 3/4
t(3) = 3*(1/2)^3
t(3) = 3 * 1/8
t(3) = 3/8
t(4) = 3 (1/2)^4
t(4) = 3 (1/16)
t(4) = 3/16
So in general
t_n = t_n-1 * 1/2
For example t(5)
t_5 = t_4 * 1/2
t_5 = 3 /16 * 1/2 = 3/32
ok so rearrange things so that it says 6-d=20, then subtract six from each side to get -d=20-6, then subtract 6 from 20 to get -d=-14, then multiply both sides by -1 to get rid of the negative sign in front of the d since a variable cannot be a negative thus making your answer -14 or letter D. :) ❤❤❤❤
hope this helps
Answer:
10^2 . . . . see below for additional information or versions of the answer(s)
Step-by-step explanation:
You seem to want 10^<em>exponent</em>, where <em>exponent</em> is an even single digit, not zero.
We choose <em>exponent</em> = 2, so your expression is ...
10^2
__
There are several versions of expanded form. One uses exponents. In that form, the expression above <em>is the expanded form</em>.
Another uses multipliers of 1, 10, 100, 1000, and so on. In that form, the expression expands as ...
10^2 = 1×100
Another expanded form uses individual digits of the expanded form with others set to zero
10^2 = 100
The standard form is ...
10^2 = 100.
_____
We suppose your exponential expression might have another multiplier, such as 2.98:
- exponential expression: 2.98×10^2
- standard form: 298
- expanded form 1: 2×10^2 + 9×10^1 +8×10^0
- expanded form 2: 2×100 +9×10 +8×1
- expanded form 3: 200 + 90 + 8
Answer:
It will take to long to type it all but i think i figured it out. The children would have to take several trips. 2 kids would go, then one kid goes back to get the other kid, crosses again, then goes back, gets out, and two witches go (the parents of the kids on the other side), leaving one set of witch and child still needing to cross. One of the children on the other side brings the boat back and picks up the left over kid, now just one witch needing to cross, the two kids cross then the one kid with his mother on the other side takes the boat back again to get his mom.
And then when it gets to the other side the witch there eats it
Step-by-step explanation:
Looks like it is C.
Just put these numbers on a number line. Think money when you are working with negative numbers. if you owed two dollars to someone (-2 from your point of view), you would be much worse off than if you owed him - 0.75 dollars. 50 cents of debt is much better than 75 cents of debt. So - 0.5 is better than - 0.75.
The answer keeps on going like that ending in root(7).
D is in an order, but it is going the wrong way. It is going from largest to smallest.
The other 2 answers almost look random. A mixes plus and minus values. That does not suggest order. B has the 3 minus values all mixed up.