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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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s344n2d4d5 [400]

Answer:

Well, at least you improved.  But maybe you should use another source besides brainly for your tests.  Sometimes people put the wrong answers just to get points.

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5 0
3 years ago
What is 5/4, 1 8/25, and 1.3 in least to greatest
stiks02 [169]

\text{Hey there!}

\dfrac{5}{4}, 1\dfrac{8}{25}, \&\ 1.3

\text{Least}\rightarrow \text{greatest}

\dfrac{5}{4} = 1.25

1\dfrac{8}{25}=\dfrac{33}{25}= 1.32

\text{1.3 =}\dfrac{13}{10}

\text{Now, that we simplified the fraction to a decimal/ decimal to a fraction}\\\text{we can solve for the answer you're looking for!}

\boxed{\bf{Answer: \dfrac{5}{4}}\rightarrow1.3\rightarrow 1\dfrac{8}{25}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

6 0
3 years ago
How much smaller is the sum of the first 1000 natural numbers than the sum of the first 1001 natural numbers?
aleksandr82 [10.1K]

ANSWER

1001

EXPLANATION

The sum of the first n - natural numbers is

S_n=  \frac{n}{2} (2a + d(n - 1))

The sum of the first 1000 terms is

S_{1000}=  \frac{1000}{2} (2(1) + 1(1000 - 1))

S_{1000}=500 (1001)

S_{1000}=500500

The sum of the first 1001 terms is

S_{1001}=  \frac{1001}{2} (2(1) + 1(1001 - 1))

S_{1001}= 1001 \times (501)

= 501501

The difference is

501501 - 500500= 1001

5 0
3 years ago
Read 2 more answers
If XYZ ~ EDF, the measure of angle F is _____ a0°.
hoa [83]

Answer:

63° (same as Z)

Step-by-step explanation:

The question indicates that ΔXYZ is similar to ΔEDF.

By definition, when we indicate that triangle XYZ is similar to the triangle EDF, the order of the letters is important and match the congruent angles.

So, ∠X = ∠E, ∠Y = ∠D and ∠Z = ∠F

It's hard to see because the angles are quite similar in opening (56°, 63° and 61°), and the drawing doesn't seems to be to scale.

But according to the naming convention: ∠Z = ∠F

Since ∠Z = 63°, ∠F = 63°

7 0
3 years ago
Read 2 more answers
Someone help please :(
Hunter-Best [27]

Answer:

Answers in step-by-step.

Step-by-step explanation:

We are going to make Sarah the variable "s."

Using the given information, the following equation is derived to calculate Sarah's distance.

  • S=2n-5

And the following equation will be used to calculate what Sarah collected using "p" for pledged money.

  • P=18S

If Sarah collected $450 in pledges, we can use the preceding formula to calculate her distance.

  • P=18S
  • 450=18S
  • 450/18=S
  • 25 miles = S

Using Sarah's distance, we can calculate Semir's either the first equation.

  • S=2n-5
  • 25=2n-5
  • 30=2n
  • 15=n
  • Semir walked 15 miles.

We already found Sarah's distance to be 25 miles.

Now SungSo is making the same amount as Sarah. He collects $450 total, but he got $72 from his grandmother initially, so subtract 72 from 450 to get the amount he collected from walking.

  • 450-72=$378

His formula is the same as Sarah's, but we'll use SS for his variable.

  • P=18SS
  • 378 = 18SS
  • 378/18=SS
  • 21= SS
  • SungSo walked 21 miles.

4 0
3 years ago
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