1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ghella [55]
3 years ago
15

Solve for x: 3ex + 2 = 74. Describe the process used to solve the equation and show each step.

Mathematics
1 answer:
Zolol [24]3 years ago
5 0

The solution of the equation is x = 3.18

Step-by-step explanation:

The equation we have to solve is:

3e^x + 2 = 74

First of all, we subtract -2 on both sides of the equation:

3e^x +2 -2 = 74-2\\3e^x = 72

Now we divide both sides of the equation by 3:

\frac{3e^x}{3}=\frac{72}{3}\\e^x=24

And now we apply the natural logarithm on both sides:

ln(e^x) = ln(24)\\x=ln(24)

And using a calculator, we find

x=ln(24)=3.18

Learn more about equations:

brainly.com/question/13168205

brainly.com/question/3739260

#LearnwithBrainly

You might be interested in
Y=5x-1<br>2x+y=13 how to solve​
ira [324]

Answer:

x = 2, y = 9 or (2,9)

Step-by-step explanation:

Hello!

The first equation "y = 5x - 1" is telling us that y is equal to 5x - 1

We can plug in the first equation into the second like this:

2x + y = 13 (we know y so we can plug it in)

2x + (5x - 1) = 13

2x + 5x - 1 = 13

7x - 1 = 13

Now we add 1 to both sides

7x - 1 + 1 = 13 + 1

7x = 14

x = 2

Now we plug in x to find y:

y = 5x - 1

y = 5(2) - 1

y = 10 - 1

y = 9

4 0
3 years ago
Would appreciate the help please!
vfiekz [6]

Answer:

<B

Step-by-step explanation:

The angle opposite the longest side has the largest measure

AC is the longest side so <B has the largest measure

3 0
3 years ago
Parallelogram JKLM is shown on the coordinate plane below:
timofeeve [1]
A 270° counterclockwise rotation leads to this transformation:

(x,y) → (y, - x)

So, we have

original point        new point

J (-6,2)           →     J' (2,6)

K (-4,6)          →     K' (6,4)

L (-3,3)          →      L' (3,3)

M (-5,-1)        →      M' (-1,5)

So, you have the points J', K', L', and M' that define the new parallelogram.

Answer: The coordinates of the endpoints of the side congruent to side KL are the coordinates of K' and L' which are (6,4) and (3,3).



6 0
3 years ago
If the corresponding heights of similar pyramids are in a ratio of 3:4. What will be the ratio of the volumes of the similar pyr
rjkz [21]

Answer:1:1

Step-by-step explanation:

3 0
3 years ago
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
Jet001 [13]

Answer:

D

Step-by-step explanation:

The function f(x) = 6x2 +x -12 is a quadratic since the highest degree polynomial term is 2. So that eliminates B and C. Option A is incorrect because the quadratic term is 6 not double the constant. There for the correct choice is D because the function is a quadratic and the quadratic term is 6x2, the linear term is x and the constant term is -12.

4 0
2 years ago
Other questions:
  • Explain how you could use a number line to determine -5 -(-3)<br><br> What is the difference?
    12·1 answer
  • There were 13,531 new products introduced last year. If 87% of the products introduced last year failed to reach their business
    15·1 answer
  • 14 minus the quotient of 25 and p
    6·1 answer
  • You deposit $600 in a savings account. the account earn 4% simple interest per year.
    14·1 answer
  • A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 2 large boxes and 5 small boxes has a t
    10·1 answer
  • (15 points please i need ASAP) A coach is interested in learning about the amount of time players on the team spend practicing e
    14·2 answers
  • A negative number divided by a positive number will yield a<br>number.​
    15·1 answer
  • A shelter house has a floor area of 400 square feet. If three identical shelter houses are built, what is the combined floor are
    9·2 answers
  • A website offers free shipping to customers who order at least $75 dollars worth of merchandise. Della is ordering 2 flashlights
    12·2 answers
  • A restaurant sells burritos for $8.00 each. The cost of the meat is $1.50 and the cost of the
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!