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kramer
3 years ago
12

Answer please 7e^x=343

Mathematics
1 answer:
BartSMP [9]3 years ago
4 0

Answer:

Step-by-step explanation:

7e^x=343

/7        /7

e^x=49

By trial and error, x must be between 3 and 4, but closer to 4.

Further trial and error says x must be between 3.8 and 3.9, but closer to 3.9

Another trial and error says x must be between 3.89 and 3.9.

The closest answer I got was 3.891821

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Use Julia’s work and finish finding the areas of the faces what is the surface area of the rectangular pyramid
hoa [83]

Answer:

The surface area of the rectangular pyramid is SA=109.50\ m^{2}

Step-by-step explanation:

we know that

The surface area of the rectangular prism is equal to the area of the rectangular base plus the area of the four triangular faces

so

SA=(8)(5)+2[14.75]+2[\frac{1}{2}(8)(5)]

SA=40+29.50+40

SA=109.50\ m^{2}

6 0
4 years ago
About 20​% of babies born with a certain ailment recover fully. a hospital is caring for sixsix babies born with this ailment. t
alisha [4.7K]

Answer :

Yes, the experiment is a binomial experiment because it satisfies all the four characteristics of the binomial experiment :

1. Fixed number of trials

2. Exactly two outcomes

3. Outcomes are independent of each other

4. Probability of all the outcomes remains constant from trial to trial.

Success in the given experiment is that the baby recovers fully.

Hospital is caring for 6 babies , n = 6

p = 0.20 ( Success )

q = 1 - 0.20 = 0.80 ( Not a success )

Value of random variable x is the number of babies which are recovering fully, x = 0, 1, 2, 3, 4, 5 or 6

5 0
3 years ago
Given f(x) = √(x-3) , what is the positive value of f(12)?
Shalnov [3]

Answer:

3

Step-by-step explanation:

Given

f(x) = \sqrt{(x-3)} , then

f(12) = \sqrt{12-3} = \sqrt{9} = ± 3

There are 2 values 3 and - 3

The positive value of f(12) is + 3

6 0
4 years ago
The perimeters of square region S and rectangular region R are equal. If the sides of R are in the ratio 2 : 3, what is the rati
Ksivusya [100]
<h2>Answer:</h2>

The ratio of the area of region R to the area of region S is:

                    \dfrac{24}{25}

<h2>Step-by-step explanation:</h2>

The sides of R are in the ratio : 2:3

Let the length of R be: 2x

and the width of R be: 3x

i.e. The perimeter of R is given by:

Perimeter\ of\ R=2(2x+3x)

( Since, the perimeter of a rectangle with length L and breadth or width B is given by:

Perimeter=2(L+B) )

Hence, we get:

Perimeter\ of\ R=2(5x)

i.e.

Perimeter\ of\ R=10x

Also, let " s " denote the side of the square region.

We know that the perimeter of a square with side " s " is given by:

\text{Perimeter\ of\ square}=4s

Now, it is given that:

The perimeters of square region S and rectangular region R are equal.

i.e.

4s=10x\\\\i.e.\\\\s=\dfrac{10x}{4}\\\\s=\dfrac{5x}{2}

Now, we know that the area of a square is given by:

\text{Area\ of\ square}=s^2

and

\text{Area\ of\ Rectangle}=L\times B

Hence, we get:

\text{Area\ of\ square}=(\dfrac{5x}{2})^2=\dfrac{25x^2}{4}

and

\text{Area\ of\ Rectangle}=2x\times 3x

i.e.

\text{Area\ of\ Rectangle}=6x^2

Hence,

Ratio of the area of region R to the area of region S is:

=\dfrac{6x^2}{\dfrac{25x^2}{4}}\\\\=\dfrac{6x^2\times 4}{25x^2}\\\\=\dfrac{24}{25}

6 0
3 years ago
Read 2 more answers
Algebra
vladimir2022 [97]
(2x + 3y = 12) x (-2)
(4x - 3y = 6) x 1

-4x - 6y = -24
4x - 3y = 6

You can cancel out the x values by adding the two equations together. 
(-4x + 4x) + (-6y - 3y) = (-24 + 6)
-9y = -18
y = 2

Solve for x now...
4x - 3(2) = 6
4x - 6 = 6
4x = 12
x = 3

Check... (x = 3, y = 2)
2(3) + 3(2) = 12 
6 + 6 = 12
12 = 12 <- this works! 

4(3) - 3(2) = 6
12 - 6 = 6
6 = 6 <- this works!
5 0
3 years ago
Read 2 more answers
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