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Inessa [10]
3 years ago
10

How would I solve the problem: e^4x=120

Mathematics
1 answer:
borishaifa [10]3 years ago
8 0
Answer:  x =  1.1968729357 ;  or, round to: 1.2 .
____________________________________________ You would take the "ln" (that is, "natural logarithm") of EACH side of the equation:

ln (e^4x) = ln (120); 
______________________
Then continue:

4x  ln e = ln 120

4x = ln 120 ;  (since "ln e = 1")

then divide EACH side of the equation by "4", to isolate "x" on one side of the equation; and to solve for "x" ;
___________________________________
  4x / 4 = (ln 120) / 4 ;
___________________________
 x = (ln 120) / 4 ; 
______________________________
 Using a calculator:
_________________________________________________________
  x = (ln 120) / 4 = (4.78749174278) / 4 =  1.1968729357
Answer:  x =  1.1968729357 ;  or, round to: 1.2 .
____________________________________________ 
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Please help on this one ?
Nastasia [14]

Answer:

C

Step-by-step explanation:

My notes are in the picture.

it is a graph of the function given.

5 0
3 years ago
Find all the numbers for each shape
irina1246 [14]

Answer:

  • 1 = pentagon
  • 2 = diamond
  • 3 = square
  • 5 = circle
  • 6 = rectangle
  • 7 = oval
  • 8 = triangle
  • 9 = hexagon
  • 10 = trapezoid

Step-by-step explanation:

Each half of a hanger divides the total weight in half. The right-most vertical has a total weight of 80/16 = 5. It consists of a square and a diamond, and we know the square is 1 more than the diamond. That means 2 diamonds weigh 5 -1 = 4. A diamond weighs 2, and a square weighs 3. The other half of that balance is a circle, which weighs 5.

The total of a square and oval is 10, so the oval is 10 -3 = 7. The two trapezoids weigh 20, so each is 10.

The second vertical from the left is a circle and diamond which will weigh 5+2 = 7. That makes the sum of a pentagon and rectangle also be 7. The 7+7 = 14 below the square on the left branch makes the total of that branch be 14+3 = 17, which is also the sum of the triangle and hexagon.

The weight below the rectangle at top left is 17+17 = 34, and the weight of that entire branch is 40. Thus the rectangle is 40-34 = 6, which makes the pentagon 7-6 = 1.

We require the sum of the triangle and hexagon be 17, with the triangle being the smaller value, and both being 9 or less (the trapezoid is the only figure weighing more than 9). Hence the triangle is 8 and the hexagon is 9.

The weights are summarized in the answer section, above.

8 0
3 years ago
The value of y - r is? <br> a. 3 b. -5 c. 7 d. -7 e. 2
ser-zykov [4K]

Answer:

-7

Step-by-step explanation:


7 0
3 years ago
A system of equations is given below:
DaniilM [7]
You have the value for y, so you substitute that equation for y, times three because there are three yS.

So you have: 2x + 3y = 10

2x + 3 x 2x + 4 or 2x + 3(3x + 4)

so the answer would be B, 2x + 3(3x + 4)  
4 0
3 years ago
Slausonn can you pls answer this quesion pls i have 3 min left
andrey2020 [161]
6 and 17
m+m+1=33
2m=32
m=16
5 0
3 years ago
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