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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

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PLEASE HELP! INVERSE QUESTION!
Katena32 [7]

Last one.

Hope this helps.

3 0
3 years ago
M+5n=p for m <br> Solving for a variable
Verdich [7]

Answer:

M=p-5n

Step-by-step explanation:

Here we are given that M+5n=p

We are asked to solve this equation for M. In order to do that we will follow these steps.

Subtracting 5n from both sides we get

M+5n-5n=p-5n

M=p-5n

Hence , now we have our M as dependent variable,  whose value depends on the values of p and n. One or both  of them can be independent variable/.

5 0
3 years ago
On a scale drawing 2 centimeters represent 50 meters. How many centimeters represent 5 meters?
Tanya [424]

Answer:

0.2 centimeters

Step-by-step explanation:
Strategy 1:

Make the equation: 5=a•s, where s is the scale factor and "a" is the number of centimeters which 5 meters

First, we need to find the scale factor. 50 meters would be s times greater than 2 centimeters. Find s by first converting meters into centimeters
50m=5000cm. 5000cm=2cm*s, so s = 2500
5m=a*2500, a=0.002 meters, and 0.002 meters is equal to 0.2 centimeters.

Strategy 2:
the ratio of the scale drawing to real life will always stay the same, so
2 cm / 50 meters = x / 5 meters, and cross multiply to get
x cm* 50 m = 2 cm * 5 m, so
x cm * 10 = 2 cm
x cm = 2/10 cm
x cm = 0.2 cm

Strategy 3:
Notice that 5 meters is 10 times smaller than 50 meters, so on the scale drawing, we are looking for a number 10 times smaller than 2 centimeters, so  2/10=0.2 cm

8 0
1 year ago
Read 2 more answers
Help me answer this question
ad-work [718]

Answer:

128 cubes can fit in.

Step-by-step explanation:

We are given: Volume of rectangular prism = 2 units³ and Cube with edge = 1/4 unit

We must find: The number of cubes that can fill the prism

Firstly, find the volume of 1 cube:

Volume = 1/4 x 1/4 x 1/4

Volume = 1/64 units³

Next find the number of cubes that can go into the prism:

Number of cubes = 2 ÷ 1/64

Number of cubes = 128

Therefore 128 cubes can fit in.

4 0
1 year ago
Read 2 more answers
Determine if the following are in proportion :
KATRIN_1 [288]

Step-by-step explanation:

The given numbers are : 32 , 48 , 140 , 120

First number is 32

Second number is 48

Third number is 140

Fourth number is 120

First number/second number :

\dfrac{N_1}{N_2}=\dfrac{32}{48}\\\\=\dfrac{2}{3}\ ....(1)

Third number/Fouth number :

\dfrac{N_3}{N_4}=\dfrac{140}{120}\\\\=\dfrac{7}{6}\ ....(2)

From equation (1) and (2) we can see that the ratio is not same. Hence, they are not in proportion.

3 0
3 years ago
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