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Mrac [35]
3 years ago
7

Predict the next number in the pattern: 2, 4, 8, -16

Mathematics
1 answer:
Paladinen [302]3 years ago
8 0

Answer:

32

Step-by-step explanation:

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Solve for the values of x in the equation: <br> 2^(x) = 4x.
Eva8 [605]

There are two of them. 

I don't know a mechanical way to 'solve' for them.

One can be found by trial and error:

x=0 . . . . . 2^0 = 1 . . . . . 4(0) = 0 . . . . . no, that doesn't work
x=1 . . . . . 2^1 = 2 . . . . . 4(1) = 4 . . . . . no, that doesn't work
x=2 . . . . . 2^2 = 4 . . . . . 4(2) = 8 . . . . . no, that doesn't work
x=3 . . . . . 2^3 = 8 . . . . . 4(3) = 12 . . . . no, that doesn't work
<em>x=4</em> . . . . . 2^4 = <em><u>16</u></em> . . . . 4(4) = <em><u>16</u></em> . . . . Yes !  That works !       yay !

For the other one, I constructed tables of values for 2^x and (4x)
in a spread sheet, then graphed them, and looked for the point
where the graphs of the two expressions cross.

The point is near, but not exactly,         <em>x = 0.30990693...

</em>
If there's a way to find an analytical expression for the value, it must involve
some esoteric kind of math operations that I didn't learn in high school or
engineering school, and which has thus far eluded me during my lengthy
residency in the college of hard knocks.<em> </em> If anybody out there has it, I'm
waiting with all ears.<em>

</em>
7 0
3 years ago
Read 2 more answers
3 gal = pt please I'm in 5th grade
Sergeeva-Olga [200]
24 pints
since there are 8 pints in a gallon you can do 3 x 8 and get 24 cause you are converting a bigger unit into a smaller unit
7 0
3 years ago
9m-m+3=-2(m+1) <br> this thing wants 20 characters so..HI!
MrMuchimi

Answer:

m = -1/2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

9m - m + 3 = -2(m + 1)

<u>Step 2: Solve for </u><em><u>m</u></em>

  1. Combine like terms:                    8m + 3 = -2(m + 1)
  2. Distribute -2:                                8m + 3 = -2m - 2
  3. Add 2m on both sides:                10m + 3 = -2
  4. Isolate <em>m</em> term:                             10m = -5
  5. Isolate <em>m</em>:                                      m = -1/2
6 0
2 years ago
Carlos and Maria drove a total of 233 miles in 4.4 hours. Carlos drove the first part of the trip and averaged 55 miles per hour
11Alexandr11 [23.1K]
So basically
D=RT
distance=rate times time

D=233
carlos speed=55
maria speed=50
total time=4.4 hours

so therefor we have to represent
carlos time
maria time
carlos distance
maria dstance

let's say that
remember that whatever carlost drove is 233 minus maria (time and distance)
and since we are solving for maria time and distnace, solve in terms of them
maria time=t
maria distance=d
carlos time=4.4-t
carlos distance=233-d

remember total D=RT
find their seperate equations
carlos
233-d=55(4.4-t)

maria
d=50(t)
use them to solve

233-d=55(4.4-t)
subsitute 50(t) for d
233-50t=55(4.4-t)
add 50t to both sides
233=55(4.4-t)+50t
distribute using distributiver protperty (a(b+c)=ab+ac)
55(4.4-t)=242-55t
233=242-55t+50t
add like terms
233=242-5t
add 5t to both sides
233+5t=242
subtract 233 from both sides
5t=9
divdie both sides by 5
t=1.8
maria drove 1.8 hours

the answer is A
8 0
3 years ago
Please help! Picture attached. (7th grade)
Hunter-Best [27]
Option B. 2 because 2-8
                                 ------- = -3
                                     2
8 0
3 years ago
Read 2 more answers
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