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2 years ago

What is the solution to the equation below? Round your answer to two decimal places. 4*e^x=12.76

Mathematics

1 answer:

sveta [45]2 years ago

3 0

Answer:

$x=1.16$

Step-by-step explanation:

we have

$4(e^x)=12.76$

Solve for x

That means ---> Isolate the variable x

Divide by 4 both sides

$(e^x)=3.19$

Apply ln both sides

$ln[(e^x)]=ln(3.19)$

Apply property of logarithms (power rule) left side

$(x)ln(e)=ln(3.19)$

Remember that

$ln(e)=1$

$x=ln(3.19)$

$x=1.16$

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Help pls I'm running out of points & brain cells lol T^T

marshall27 [118]

Answer:

- 4.7

Step-by-step explanation:

Step 1:

c - 1.5 + 6.8 = 0.6

Step 2:

c + 5.3 = 0.6

Step 3:

c = 0.6 - 5.3

Answer:

c = - 4.7

Hope This Helps :)

3 0

2 years ago

Read 2 more answers

The cost to produce a product is modeled by the function f(x) = 5x2 − 70x 258, where x is the number of products produced. compl

ad-work [718]

The minimum cost to produce the product is $7.

What are functions?

A function from a set X to a set Y allocates exactly one element of Y to each element of X.

To determine the minimum cost:

We have to determine the minimum cost of producing this product.

Since $f(x) = 5x^{2} -70x+258$ .

Now, consider the equation $5x^{2} -70x+258= 0$ .

Dividing the above equation by 5, we get

$x^{2} -70x/5+258/5=0\\x^{2} -14x+258/5=0$

Now, considering the coefficient of 'x', dividing it by '2' and then adding and subtracting the square of the number which we got after dividing.

Since the coefficient of 'x' is 14, and half of 14 is '7'.

So, adding and subtracting from the above equation.

$x^{2} -14x+(7)^{2} -(7)^{2}+258/5=0\\x^{2} -14x+49 -49+258/5=0\\(x-7)^{2} -49+258/5=0\\(x-7)^{2} +258-245/5=0\\(x-7)^{2} +13/5=0\\5(x-7)^{2} +13=0$

Now, we have to determine the minimum cost to produce the product.

Since $f(x) = 5x^{2} -70x+258$ .

$f'(x) = 10x-70$

Now, let f'(x)=0

$10x-70=0\\10x=70$

Therefore, x=7

Now, consider which is greater than 0.

Therefore, x= 7 is the minimum cost.

Know more about functions here:

brainly.com/question/25638609

#SPJ4

5 0

1 year ago

A rectangle on a coordinate plane has vertices at (7,5),(-7,5),(-7,-2),and (7,-2) what is the perimeter of the rectangle?

Nadya [2.5K]

Answer:

Your Perimiter is 42

Step-by-step explanation:

Distance from 7,5 to -7,5 is 14

Distance from -7,5 to -7,-2 is 7

Then we double both those numbers as it is a rectangle

2l + 2w = Per...

28 + 14 = 42

MARK AS BRAINLIEST

5 0

2 years ago

Roman has a rope that is 25 1/2 feet long. he wants to cut it into 6 pieces that are equal in length. how long will each piece b

eduard

25.5*6=4.25 or 4.25
Your welcome

8 0

2 years ago

Calcular el área y el perímetro de un círculo que tiene 50 cm de radio

gulaghasi [49]

Answer:

Area: 7850 square cm

Perimeter: 314 cm.

Step-by-step explanation:

The area is $\pi r^{2}$ . With r=50, $\pi 50^{2}$ =2500π which is about (2500)(3.14)=7850.

The perimeter is $2\pi r$ which is the same as (diameter)(π). The diameter is 100, so $100\pi$ which is about (100)(3.14)=314.

8 0

2 years ago