All categories

3 years ago

If e^5x = k, where k is any positive number, then what is the value of x?

Mathematics

1 answer:

Makovka662 [10]3 years ago

7 0

$e^{5x}=k\implies\ln(e^{5x})=\ln(k)\implies\boxed{x=\ln(k)/5}$

Hope this helps.

You might be interested in

Can anyone help me with the 7th and 8th question which I have taken a bad photo of?

Vsevolod [243]

Question 7:

Define x :

Let the digit in the ones place be x.
The digit in the tens place is x+2.

The sum of the digit and its reverse is 66

Find x:

10(x + 2) + x + 10x + (x + 2) = 66
10x + 20 + x + 10x + x + 2 = 66
22x + 22 = 66
22x = 44
x = 2

Find the number:

The number in the ones place = x= 2
The number in the tens place = x = 2 + 2 = 4

Answer : The number is 42.

Question 8:

Define x:

Let the digit in the tens place be x.
The digit in the ones place is x+7.

The number = 10x + x + 7 = 11x + 7

If the digit interchange,
the number = 10(x + 7) + x = 10x + 70 + x = 11x + 70

Find x:

9(11x + 7) = 2(11x + 70)
99x + 63 = 22x + 140
99x - 22x = 140 - 63
77x = 77
x = 1

Find the number:

x = 1
x + 7 = 1 + 7 = 8
So the number is 18

Answer: The number is 18.

7 0

3 years ago

If f(x)= 5x-7 and g(x)= square root of x-2, which statement is true?

slavikrds [6]

The answer is
-5 IS NOT in the domain of fog

4 0

4 years ago

Find the area of the figure above. use 3.14 for π. do not round your answer

professor190 [17]

Answer:

Step-by-step explanation:

Alright, lets get started.

This is the combination of three figures semi circle, rectangle and triangle.

We will find the area of each figure and will add them.

The radius of the circle is half of the diameter, so radius is 6.

Area of semi circle will be : $\frac{1}{2} \times 3.14 \times 6^2$

Area of semi circle is : 56.52

Area of rectangle is: $length \times width$

So, area of rectangle is: $40\times 12=480$

Area of triangle is : $\frac{1}{2}\times base\times height$

So, area of triangle is : $\frac{1}{2} \times 12\times 5=30$

Adding all these three areas, the area of above figure will be:

[tex]Area = 56.52+480+30

Hence Area is 566.52............... Answer

6 0

3 years ago

A baker purchases flour each week from a wholesale warehouse. The chart shows the quantities and prices available this week. If

scZoUnD [109]

The chart showing the quantities and prices is;

Best Deal 1

Quantity of Flour Price

3 pounds $5.25

5 pounds $9.75

7 pounds $12.60

10 pounds $14.20

12 pounds $18.24

Answer:

difference between last weeks best deal = $0.3

Step-by-step explanation:

Let's calculate the unit price for each of the quantities in the chart.

For quantity of 3 pounds;

We have; unit price = 5.25/3 = $1.75

For 5 pounds;. Unit price = 9.75/5 = $1.95

For 7 pounds; unit price = 12.6/7 = $1.8

For 10 pounds; unit price = 14.2/10 = $1.42

For 12 pounds; unit price = 18.24/14 = $1.3

Thus, last weeks best deal is the lowest = $1.3

Thus; difference between last weeks best deal is given as;

= this weeks best deal - last weeks best deal

This gives;

$1.6 - $1.3 = $0.3

6 0

3 years ago

The Nutty Professor sells cashews for $7.10 per pound and Brazil nuts for $4.60 per pound. How much of each type should be used

aivan3 [116]

Answer:

Pounds for cashew- 20.96

Pounds for Brazilian nut- 11.04

Step-by-step explanation:

Let c be the pounds of cashew

Let b ne the pound of Brazilian but

32×6.24

= 199.68

7.1c + 4.60b= 199.68.......equation 1

c + b= 32..........equation 2

From equation 2

c= 32-b

Sub 32-b for c in equation 1

7.1(32-b) + 4.60b= 199.68

227.3-7.1b+4.60b, = 199.68

227.3-2.5b= 199.68

-2.5b= 199.69-227.3

- 2.5b= -27.61

b= 27.61/2.5

b= 11.04

Sub 11.04 for b in equation 2

c+b= 32

c + 11.04= 32

c= 32-11.04

c= 20.96

4 0

3 years ago