Derivative of 6^(4x)

Add step by step explanation

Answers

Answer 1

Answer:

4*6^4x ln(6)

Step-by-step explanation:

6^(4x)

6^4x

-d/dx[6^4x]

ln(6)*6^4x*d/dx[4x]

ln(6)*6^4x*4*d/dx[x]

4ln(6)*6^4x*1

4ln(6)*6^4x

4*6^4x ln(6)


Related Questions

A map is drawn using a scale of 1 centimeter to 25 kilometers.

What actual distance is represented by a map length of 3.2 centimeters?

Answers

Answer:

80 kilometers

a mercury thermometer records a temperature of 8 degrees fahrenheit at 10 a.m. if the temperature drops by 3 degrees fahrenheit every hour what will be the temperature by 2 p.m. of the same day ​

Answers

Answer:

-4 Degrees Fahrenheit

Step-by-step explanation:

Given

[tex]Initial\ Temperature = 8[/tex] ---- at 10am

[tex]Difference = -3[/tex]

Required

Determine the final temperature at 2pm

First, we need to determine the hour from 10am to 2pm (Both inclusive)

[tex]Interval = 2pm - 10am + 1hr[/tex]

[tex]Interval = 4hr + 1hr[/tex]

[tex]Interval = 5hr[/tex]

To solve further, we make use of the following Arithmetic Progression formula:

[tex]T_n = a + (n - 1)d[/tex]

Where

[tex]a = 8[/tex] --- Initial

[tex]d = -3[/tex] --- difference

[tex]n = 5[/tex] -- 5th term

[tex]T_n[/tex] --- Final temperature at 2pm

So: we have:

[tex]T_n = 8 + (5 - 1) * -3[/tex]

[tex]T_n = 8 + (4) * -3[/tex]

[tex]T_n = 8 + 4 * -3[/tex]

[tex]T_n = 8 -12[/tex]

[tex]T_n = -4[/tex]

Hence:

The temperature is -4 Degrees Fahrenheit

Please help I’ll
Give you brainiest!❤️

And please solve it too thanks!!!

Answers

Y-5=3(x+4)
Y-5=3x+12
Y=3x+12+5
Y=3x+17

if x equals 3 cubed what does this problem equal 2x= If x = 33:

2x = ?

Answers

Answer:

2x = 54

Step-by-step explanation:

The given information;

x = 3^3

solve

x = 27

(beacuse 3^3 = 3 * 3 * 3 = 27

find 2x:

2x = 2 * x

x= 27

2 * 27 = 54

2x = 54

write an expression of the following. 6 times a number decreased by 5

Answers

Answer:

6x-5

Step-by-step explanation:

Alright let's begin.

6 times a number means 6 times x. So 6x.

Then when it says decreased by 5 it means you subtract 5!

Your expression would look like this:

6x-5

Hope it helps! Mark brainliest if possible

A basketball player is 90 inches tall. A model is created of the player using a scale factor of 1:20. How tall is the model in inches?

Answers

Answer:

4.5

Step-by-step explanation:

Complete the table and write the equation


x | y
? | 1.5
-1 | 4
0 | ?
3 | 9
15 | ?


Equation: y = ____ x + _____

Answers

Answer:

All results in the explanation

Step-by-step explanation:

To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).

First, find the slope of the line:

We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

Substituting:

[tex]\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}[/tex]

This value is used in the slope-point form of the line:

[tex]\displaystyle y-k=\frac{5}{4}(x-h)[/tex]

Where (h,k) is a point from the table, select for example (3,9):

[tex]\displaystyle y-9=\frac{5}{4}(x-3)[/tex]

Operate:

[tex]\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9[/tex]

[tex]\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}[/tex]

The equation of the line is:

[tex]\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}[/tex]

Now complete the table.

For x=0:

[tex]\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}[/tex]

[tex]y=\frac{21}{4}[/tex]

For x=15

[tex]\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}[/tex]

[tex]\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24[/tex]

y=24

For y=1.5, find x:

[tex]\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}[/tex]

Operate:

[tex]\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x[/tex]

Multiply by 4:

[tex]\displaystyle 6-21=5 x[/tex]

Solve:

[tex]x=-15/5=-3[/tex]

x=-3

Answer:

All results in the explanation

Step-by-step explanation:

To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).

First, find the slope of the line:

We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\begin{gathered}\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\\end{gathered}m=x2−x1y2−y1

Substituting:

\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}m=3+19−4=45

This value is used in the slope-point form of the line:

\displaystyle y-k=\frac{5}{4}(x-h)y−k=45(x−h)

Where (h,k) is a point from the table, select for example (3,9):

\displaystyle y-9=\frac{5}{4}(x-3)y−9=45(x−3)

Operate:

\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9y=45⋅x−45⋅3+9

\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}y=45⋅x+4−15+36

The equation of the line is:

\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}y=45⋅x+421

Now complete the table.

For x=0:

\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}y=45⋅0+421

y=\frac{21}{4}y=421

For x=15

\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}y=45⋅15+421

\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24y=475+421=496=24

y=24

For y=1.5, find x:

\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}1.5=45⋅x+421

Operate:

\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x1.5−421=45⋅x

Multiply by 4:

\displaystyle 6-21=5 x6−21=5x

Solve:

x=-15/5=-3x=−15/5=−3

x=-3

What is the displacement of the red ball between 0 s and 24 s

Answers

Answer:

12s

Step-by-step explanation:

Because 24 divided by 2 is 12

Answer:

Step-by-step explanation:

Question 1: On a coordinate plane, triangle ABC has vertices at A(10,5), B(10,15), and C(5,5). Triangle A'B'C' has vertices at A' (30,12), B'(30,52), and C(10,12). Which transformation maps triangle ABC onto triangle A'B'C'? A. (x,y) --> (3x, 3y + 3) B. (x,y) --> (4x - 10, 4y - 8) C. (x,y) --> (4x + 10, 4y + 8) D. (x,y) -> (3x, 3y - 3) ​

Answers

Answer:

B. (x,y) --> (4x - 10, 4y - 8)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, dilation and rotation.

If a point X(x, y) is translated a units right and b units up, the new location is (x + a, y + b) also If a point X(x, y) is translated a units left and b units down, the new location is (x - a, y - b)

If a point X(x, y) is dilated by the factor k the new location is X'(kx, ky).

Triangle ABC has vertices at A(10,5), B(10,15), and C(5,5), If it is dilated by a factor of 4, the new location is A*(40, 20), B*(40, 60) and C*(20, 20). If then a translation of 10 units left and 8 units down, the new points are A'(30, 12), B'(30, 52), C'(10, 12).

This is a transformation of (x,y) --> (4x - 10, 4y - 8)

4/7 divided by 7/2 this is dividing fraction

Answers

8/49 I think that what it is hope this helps

Final Answer:

8/49!

Step-by-step explanation:

4/7 ÷ 7/2

4/7 ÷ 2/7

4/7 × 2/7 = 8/49

What number equals -4 and 2

Answers

Answer:

is there a graph or any other options to go with this?

Step-by-step explanation:

Which of the following shows the prime factorization of 50?
A.
5 × 10
B.
2 × 25
C.
2 × 2 × 5
D.
2 × 5 × 5

Answers

Answer:

two and five are prime numbers. so it would be B

Step-by-step explanation:

brainliest? if not its cool too :D

Rewrite each number using scientific notation.

106,000 in scientific notation is x 10^

0.0157 in scientific notation is x 10^

Answers

1 - 1.06 x 10^5
2 - 1.57 x 10^-2

Answer:

1.06 x 10^5

1.57 x 10^-2

Step-by-step explanation:

Idently the domain of the function
-5 0 All real numbers
All positive numbers

Answers

Answer:

13

Step-by-step explanation:

if you take the ideal number and multiply it with 12 the subtract 13 and add 1 and subtract seven the divide that by 11 and then Divid that answer by 17 and then you have your answer which is 13

Help needed ASAP WILL GIVE BRAINLIEST AND 5 STAR RATES

Answers

Elenas fastest speed was in the first hour where she traveled 3 miles, in all the other hours she traveled 2 miles. Answer: her fastest speed was 3 miles per hour

Answer: 3 mph.

Step-by-step explanation: If you follow the graph, it shows that in 1 hour she traveled about 3 miles, and in 2 hours, she traveled about 5 miles, and in 3 hours she traveled about 6 miles, and finally, in 4 hours, she traveled 9 miles.

Hope this helped.

Which of the following equations defines a line that passes through the point (8,2) and is perpendicular to the line y= -2x + 4?

Answers

Answer:b

Step-by-step explanation:

I plugged all of these into a graph and the used the graph trace feature (after setting the step to 1) and traced all of the graphs to find if they hit the point (8,2). B-d do so we can eliminate a and then you can either graph the line y=-2x+4 or just go with b because they have the same slope (-2x). Hope that helps!

can someone help me solve 2× +7 =21​

Answers

Answer:

x=7

Step-by-step explanation:

2x+7=21

Minus 7

2x=14

Divide 2

x=7

Substitute the given values into the given formula and solve for the unknown variable. (Submit all
work for full credit).
S = 4LW + 2WH S= 112, L= 6,W = 4
Help please and thank you

Answers

Answer:

Step-by-step explanation:

112=4(6)(4) + 2(4)H

112=96+8H

112-96=8H

16=8H

16/8=H

H=2

given M is the midpoint of RS . RM=x+3 and MS=2x-1 . x=? and RM= ?

Answers

Answers:

x = 4

RM = 7

======================================================

Explanation:

The midpoint cuts the larger segment RS in two equal halves, so RM = MS

RM = MS

x+3 = 2x-1

3+1 = 2x-x

4 = x

x = 4

RM = x+3

RM = 4+3

RM = 7

MS = 2x-1

MS = 2*4-1

MS = 7

Both RM and MS are 7 units long, which confirms our answers.

RS = RM+MS

RS = 7+7

RS = 14

How many credit hours will a student have to take for the two tuition costs to be equal? Round the answer to the nearest tenth of an hour. 250 + 200h = 300 + 180h 250 + 200h = 300 + 180h − 180h − 180h 250 + 20h = 300 h = credit hours

Answers

Answer:

2.5hrs

Step-by-step explanation:

Given the equation 250 + 200h = 300 + 180h, we are to find the amount of credit hours will a student have to take for the two tuition costs to be equal, to do that we need to make h the subject of the formula:

250 + 200h = 300 + 180h

collect like terms

200h - 180h = 300-250

20h = 50

2h = 5

Divide both sides by 2:

2h/2 = 5/2

h = 5/2

h = 2.5hr

Hence the student will take 2.5hr.

Answer:

h = 2.5 credit hours

Explanation:

i got it right on edge 2020

If Kiran solves the equation for p, which equation would result?

Answers

Answer:  i have a answer but it is not up there srry

Step-by-step explanation:  

for a small party of 12 people, the caterer offered a choice of a steak dinner for $12:00 per or a chicken dinner for $10.50 the final cost for the meals was 138:00. how many of each was ordered?​

Answers

Answer:

let the $12 dish be x and the other y

x + y = 12 <--- 1

12x + 10.50y= 138 <--- 2

multiply equation 1 by 12

so now we have

12x + 12y = 144

12x + 10.50y = 138

now subtract each one and that cancels out x

1.5y = 6

y = 4

now subsitute that into any equation

x + 4 = 12

x = 12 - 4

x = 8

Using the Pythagorean Theorem What is the length of side C when a=12and
b9?

Answers

Answer:

c = 15

Step-by-step explanation:

Darth Vader unleashed the dark side on the unsuspecting Jedi in 2 seconds. If he did 1725 J of work, how much power did he use?

Please show working : )

Answers

17,23j power was the answer to the question

Please give me the explanation so I KNOW that it's right? Thanks.

Answers

Answer:

its A, B, C or D

Step-by-step explanation:

it has to be one of them.

Answer:

Step-by-step explanation: E, look at which side E is on, look at the other triangles angle that corresponds with it, so It's E.

going to order the following numbers from Least To Greatest
5.08,
5.3, 5.803, 5.038

Answers

Least: 5.038

5.08

5.3

Greatest: 5.803

5(p - 3) = 63
Who ever get this right Cash app 300 dollars to u

Answers

Answer:

p = 78/5

Step-by-step explanation:

Solve for p:

5 (p - 3) = 63

Divide both sides of 5 (p - 3) = 63 by 5:

(5 (p - 3))/5 = 63/5

5/5 = 1:

p - 3 = 63/5

Add 3 to both sides:

p + (3 - 3) = 63/5 + 3

3 - 3 = 0:

p = 63/5 + 3

Put 63/5 + 3 over the common denominator 5. 63/5 + 3 = 63/5 + (5×3)/5:

p = 63/5 + (5×3)/5

5×3 = 15:

p = 63/5 + 15/5

63/5 + 15/5 = (63 + 15)/5:

p = (63 + 15)/5

63 + 15 = 78:

Answer: p = 78/5

Andre is buying snacks for the track and field team. He buys a pound's of apricots for $6 per pound and b pounds of dried bananas for $4 per pound he buys a total of 5 pounds of apricots and dried bananas and spends a total of $24.50 Which system of equations represents the constraints in the situation?

Answers

Answer:

a + b = 5 ...........1

6a + 4b = 24.50 ......... 2

Step-by-step explanation:

Let a be the amount of pounds of apricot bought

Let b be the amount of pounds of banana bought

If he buys a total pounds of 5 pounds then;

a + b = 5 ...........1

Also if a pound's of apricots for $6 per pound, total amount of aprciots bought will be $6a

Also if b pound's of banana is for $4 per pound, total amount of banana bought will be $4b

If he spends a total of $24.50 on both banana and apricots, then:

6a + 4b = 24.50 ......... 2

The system of equations that represents the constraints in the situation is:

a + b = 5 ...........1

6a + 4b = 24.50 ......... 2

Answer: C

Step-by-step explanation:

Please help me!! I don't understand and I need asap. Please include how you figured it out :)

Answers

7b^3+9b^2+8b

Combined like terms and get this
7b^3+8b+9b^2 is the answer

Environmentalists estimate an annual population decrease of giraffes in the wild of 3.5% due to development. This can be modeled by the function p(x) = 140,000(0.965)^x, where x is the number of years of tracking the populations. Conservationists have developed a sanctuary that has shown the ability to increase the population by 0.85% per year. The increase can be modeled by the function S(p) = p(1.0085)^x.


Which function represents S(p(x)), rounded to the nearest ten thousandth?

A. S(p(x)) = 135,100(0.9732)^x

B. S(p(x)) = 135,100(1.9735)^x

C. S(p(x)) = 140,000(0.9732)^x

D. S(p(x)) = 140,000(1.9735)^x

Answers

Answer:

S(p(x)) = 140,000(0.9732)^x

Step-by-step explanation:

Given the population functions:

ENVIRONMENTALIST: decline by 3.5% annually

p(x) = 140,000(0.965)^x

CONSERVATIONISTS: Increase by 0.85% annually ;

S(p) = p(1.0085)^x

Formulate S(p(x)) rounded to the nearest ten thousand

p(x) = 140,000(0.965)^x

S(p) = p(1.0085)^x

S(p(x)) = p(1.0085)^x

Where p(x) = 140,000(0.965)^x

S(p(x)) = 140,000(0.965)^x(1.0085)^x

S(p(x)) = 140,000(0.9732025)^x

S(p(x)) = 140,000(0.9732)^x

Answer:

C

Step-by-step explanation:

Edge

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