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3 years ago

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

1 answer:

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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Volgvan

Answer:

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3 years ago

A cable weighing 0.6 pounds per foot is attached to a small 80-pound robot, and then the robot is lowered into a 60-foot deep we

ollegr [7]

Answer:6060 foot-pounds

Step-by-step explanation:

Given

Weight of cable(w')=0.6 pound per foot

depth of well=60 foot

weight of wrench=7 Pound

Now work done in raising monkey with wrench $=w\cdot h$

$W_1=(80+7)\cdot 60=5220$ foot-pounds

Now work done in raising rope

robot rises by climbing up the cable with one end of the cable still attached thus robot support half the weight of cable so work done

$W_2==\int_{0}^{60}\frac{w'}{2}xdx$

$W_2=0.3\times 0.5\times (x^2)_0^{60}$

$W_2=540$ foot-pounds

$W_{net}=5220+540=6060$ foot-pounds

5 0

3 years ago

Luis distributes 49 roses equally among 7 friends. Then, 3 of his friends combine the roses they received to make a bouquet. How

antoniya [11.8K]

Answer:

21 roses

Step-by-step explanation:

49 / 7 = 7

Each friend got 7 roses.

7 x 3 = 21

3 friends combine their roses together, making a bouquet of 21 roses.

3 0

3 years ago

What is the surface area of this prism?

Zigmanuir [339]

Let's find the area of each shape that makes up the prism. Let's first start with the triangles.

There are two identical triangles on both ends of the prisms. They have a height of 12 and a base 18. Let's find the area of both of the triangles.
12×18=216
216 is the area of both triangles. Each triangle has an area of 108 though.
Let's find the area of the two rectangles.

There are two identical rectangles that are 30 m by 15 m. Let's find the area of both.
30×15=450×2=900
So, the area of both rectangles together is 900.
Let's find the area of the rectangle that acts as the base in the picture.

There's only one and it's 30 m by 18 m.
30×18=540
Let's add everything together.

540+900+216
1440+216
1656

So, the surface area is 1656 m².

7 0

3 years ago

Find the variable 15 = 5 − 13

Lyrx [107]

Answer:

0.4

Step-by-step explanation:

15 = 5p - 13

-13 = 5p -13

---------------- ( subtract 13 on both sides )

<u> 2 = 5p</u>

5 = 5p

---------------- ( divide 2 by 5 )

p = 0.4

( p equals 0.4 )

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3 years ago