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mojhsa [17]
3 years ago
14

What are the solutions to the equation e^1/4x =|4x|

Mathematics
2 answers:
Mrac [35]3 years ago
8 0

-0.25 and 0.25.

That is already estimated.

Ivan3 years ago
4 0

Answer:

x=0.27

Step-by-step explanation:

The given expression is

e^{\frac{1}{4}x}=|4x|

To solve this equation, we graph the functions:

f(x)=e^{\frac{1}{4}x}

and

g(x)=|4x|

From the graph, the two curves intersects at x=-0.24 and x=0.27.

But the domain of the logarithmic function is x>0

Therefore x=0.27

You might be interested in
What is the base 8 representation of the number 11100111(2)
kondor19780726 [428]

Remark

You could convert base two to base 10 and then convert base 10 to base 8. That's the long way. The procedure below is the short way.

Step One

Write the base 2 number in groups of 3 starting from the right and going left

11 100 111

Step Two

Convert the base 2 numbers in groups of 3 to base 8. The largest result will be a 7

11 = 2*1 + 1 = 2 + 1 = 3

100 = 1*2^2 = 4

111 = 1*2^2 + 1*2 + 1 = 7

Step Three

Read the answer going down.

347 is the answer

Answer

347(8) = C


5 0
3 years ago
Anybody know how to do this? i really need help. i’ve been trying to do this problem for hours.
timofeeve [1]
It’s should be 12.04 after you do all the math and add it up
3 0
3 years ago
An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa
Yuri [45]

Answer:

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = 7^{\circ}

\angle CAB = \angle DCA = 7^{\circ}       [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

\tan (\theta) = \frac{Opposite side}{Adjacent Base}

\tan (\angle CAB) = \frac{BC}{AB}

Here, BC = 50 foot and \angle CAB =7^{\circ}

then;

\tan (7^{\circ}) = \frac{50}{x}

or

x = \frac{50}{\tan 7^{\circ}}

x = \frac{50}{0.1227845609}

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'





5 0
3 years ago
Look at the sequence : 5, -10, 20, -40, 80
Sphinxa [80]

Answer:

5 (5x1) , -10 -(5x2), 20(10x2), -40 -(20x2), 80(40x2)

so the next number should be previous number in the sequence multiplied by 2 and a negative sign.

-`(80x2) = -160


7 0
3 years ago
Read 2 more answers
Chang is 6 inches taller than nancy. Use n for nancy’s height in inches. Write an expression to represent chang's height. Then e
Irina-Kira [14]

Answer:

Expression Chang:

N+6

If N = 60

Then 60+6=66

Chang is 66 inches

Step-by-step explanation:

3 0
2 years ago
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