Given the function f(x)= e^3x, write an expression that represents the derivative of f using the limit shown below.

Answers

Answer 1

Answer:

f'(x)=6x+8

Step-by-step explanation:


Related Questions

Does anyone know this please!!?!?

Answers

Answer:

5)3/2

6) 7

7)16

8)13

9)27

10)17

Step-by-step explanation:

5) 4x+3=10x-1

x=3/2

6)9x-25=38

x=7

7)5x-7=

Maria stated that 5/6 is between 4/5 and 6/7

Answers

Answer:

It's true, if that's what your asking.

Step-by-step explanation:

5/6 = 0.833 to 3 sig.fig.

4/5 = 0.800 to 3 sig.fig.

6/7 = 0.857 to 3 sig.fig.

0.833 is more than 0.800 and less than 0.857.

If 20 apples cost N300 how many apples can be bought for N1875

Answers

Answer:

28125

Step-by-step explanation:

300÷20=15

15×1875=28125

His new employer has offered Malcom Davis a choice of profit-sharing plans. For Plan A, he can receive 1/90 of the company’s gross income. For Plan B, he can receive 1/60 of the company’s profit. Gross income is the total amount the company takes in. Profit is the difference of the gross income and expenses. The company’s expenses for one month are $100,000.

A) Write an equation for finding the gross income that would give Malcom Davis the same amount of money with either plan.

B) Solve the equation from Exercise A and interpret the solution.

C) How much would Malcom Davis receive when the two plans are the same?

D) If the gross income of the company is less than the amount from Part B, which plan would be better for Malcom Davis? Show work to support your answer.

Answers

Malcom Davis earnings is an illustration of equations and proportions.

The equation is: [tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]The gross income must be $300000, for Dave to earn the same amount with either plan.His earning is $3333.33 when the plans are the same.

Let the profit be P, and the gross income be G.

So, we have:

[tex]\mathbf{P= G - 100000}[/tex]

(a) The equations

For plan A, we have:

[tex]\mathbf{A = \frac{1}{90}G}[/tex] ----1/90 of the company's gross income

For plan B, we have:

[tex]\mathbf{B = \frac{1}{60}P}[/tex]  ----1/90 of the company's profit

When both are the same, we have:

[tex]\mathbf{A= B}[/tex]

This gives

[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}P}[/tex]

Substitute [tex]\mathbf{P= G - 100000}[/tex]

[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]

Hence, the equation is: [tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]

(b) Solve the equation in (a), and intepret

[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]

Cross multiply

[tex]\mathbf{60G = 90G - 9000 000}[/tex]

Collect like terms

[tex]\mathbf{90G - 60G = 9000 000}[/tex]

[tex]\mathbf{30G = 9000 000}[/tex]

Divide both sides by 30

[tex]\mathbf{G = 3000 00}[/tex]

The gross income must be $300000, for Dave to earn the same amount with either plan.

(c) His earnings based on (c)

We have:

[tex]\mathbf{A = \frac{1}{90}G}[/tex]

Substitute [tex]\mathbf{G = 3000 00}[/tex]

[tex]\mathbf{A = \frac{1}{90} \times 300000}[/tex]

[tex]\mathbf{A = 3333.33}[/tex]

His earning is $3333.33 when the plans are the same

(d) If the gross income in less than (b)

If the gross income is less than $300,000, then plan A would better for Malcom Davis, because his earnings in plan A would be greater than plan B

Read more about equations at:

https://brainly.com/question/20893366

Solve pls
6(n-4)=3n

Answers

8 is the correct answer

The mass of Earth is approximately 5.97 × $10^{24}$ kilograms. The mass of Mars is approximately 639,000,000,000,000,000,000,000 kilograms. What is the mass of Mars in Scientific Notation? $10^{23}$

Answers

9514 1404 393

Answer:

  6.39×10²³

Step-by-step explanation:

There are 23 digits to the right of the most significant digit (6), so it is in the number place with a place value of 10²³. The number in scientific notation is ...

  6.39×10²³ . . . . kg

Select the equation that contains the points, (-2,-2) and (4, 10).
O y+6=-2(x+1)
O y+2 = 6(x+6)
O None of the other answers are correct
O y-6= 2(x-2)
O y-6=-2(x - 2)

Answers

none of the answers are correct ?

A carpenter bought a piece of wood that was 0.54 meters long. Then he sawed 0.39 meters off the end. How long is the piece of wood now?

Answers

Answer:

Simply substract 0.39 from 0.54 = 0.15

Therefore the carpenter is left with 0.5 metre of wood.

i need all of the answers THANK UU​

Answers

1. C because 3×3=9

9×3=27

27×3=81.....

2. Answer is C explaination in picture number 2

3. D explaination in picture number 1

You and a group of friends went out to eat at Red Lobster. Your bill came to $89.75. You gave the waitress a 28% tip. What is the total bill including the tip?

Answers

Answer:

tip total = $25.13

total(bill+tip) = $114.88

the cost is 15,000.00 and a markup of 90%

help plez :)

Answers

Very good question, well the answer you might be looking for is
Revenue: 28,500 $
Profit: 13,500
From what I calculated

Have a blessed day and God bless.
16,666.66666666667 !

equivalent equation to 3/50-x/50=7/50

Answers

Answer:

x=-4

Step-by-step explanation:

Multiply both sides by 50 and you get

3-x =7,

so x= -4

Solving quadratic equation by Factorization
[tex]10x {}^{2} - x = 2[/tex]
Help me pleasee​

Answers

[tex]x = - \frac{2}{5} \\ x = \frac{1}{2} \\ \\ \\ hope \: \: it \: \: helps \: \\ \\ see \: \: the \: \: attachment[/tex]

Solve for x.

(x÷2)+6=50


x = 22

x = 28

x = 38

x = 88

Answers

The answer is x = 88

Find the value of y that will make these two triangles congruent:

Answers

Answer:

5

Step-by-step explanation:

if the triangles are congruent then the side lengths must be equal:

JL=PM

PN=LK

NM=JK and

4y + 12 = 32 subtract 12 from both sides

4y = 20 divide both sides by 4

y = 5

find the midpoimt of the line segment between the points (4,-7) and (12, -1)

a. (8, -4)
b. (4, -3)
c. (16, -4)
d. (4, -4)​

Answers

Answer: a. (8, -4)

Step-by-step explanation:

The midpoint is the middle of the line. Thus for a line segment, it is finding the halfway point between the x and y values.

Midpoint = ( [¹/₂ (x₁ + x₂)] , [¹/₂(y₁ + y₂)])

∴ for a line segments with endpoints (4,-7) and (12, -1),

 Midpoint = ( [¹/₂ (12 + 4)] , [¹/₂(-7 - 1)])

                = ( [¹/₂ (16)] , [¹/₂(-8)])

                = (8, -4)  (OPTION A)

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show)

Answers

Answer:

x = 12.2 mi

Step-by-step explanation:

Given the two sides of the right triangle:

a = 6.1 mi

b = 10.6 mi

c = x

Use the Pythagorean Theorem to solve for the value of the hypotenuse, x:

c² = a² + b²

c² = (6.1)² + (10.6)²

[tex]\sqrt{(c^{2})} = \sqrt{37.21 + 112.36}[/tex]

c = 12.2 mi

Therefore, the value of the hypotenuse is:  x = 12.2 mi

>> Answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

Step by step :

x² = (10,6)² + (6,1)²

x² = 112,36 + 37,21

x² = 149,57

x = 12,22mi

Enrollment at a golf academy has grown exponentially since the academy opened. A graph depicting this growth is shown. Determine the percentage rate of growth.An exponential graph has Time in Years on the x-axis and Enrollments on the y axis. A curve that rises from left to right begins at zero comma fifteen and passes through four comma seventy-five.a. 1.5%b. 5%c. 50%d. 0.5%

Answers

Applying the points given, it is found that the growth rate of the exponential function is:

c. 50%

An exponential function has the following format:

[tex]y = a(1 + r)^x[/tex]

In which:

a is the initial value, that is, the value of y when x = 0.r is the growth rate, as a decimal.

In this problem:

The curve begins at (0,15), thus a = 15.It passes through (4, 75), which means that when [tex]x = 4, y = 75[/tex], and this is used to find r.

[tex]y = a(1 + r)^x[/tex]

[tex]75 = 15(1 + r)^4[/tex]

[tex](1 + r)^4 = 5[/tex]

[tex]\sqrt[4]{(1 + r)^4} = \sqrt[4]{5}[/tex]

[tex]1 + r = 1.4953[/tex]

[tex]r = 1.4953 - 1[/tex]

[tex]r = 0.4953[/tex]

Thus, approximately 50%, option c.

A similar problem is given at https://brainly.com/question/23416643

Answer:

50% is the correct answer

Step-by-step explanation:

I took the test.

What is the equation of the line parallel to the line with the equation −x+3y=−3
that passes through the point (1, –6)

Answers

Answer:

y = 1/3x - 19/3

Step-by-step explanation:

3y = x -3

y = 1/3x -3

Slope = 1/3

Point= (1,-6)

y-intercept = -6 - (1/3)(1) = -6 - 1/3 = -19/3

help what is the answer to this'

Answers

Answer:

Your answer is  x [tex]\geq[/tex] 77

Step-by-step explanation:

[tex]\frac{x}{7} \geq 8+3[/tex]

[tex]\frac{x}{7} \geq 11[/tex]

[tex]\frac{x}{7 } * 7 \geq 11*7[/tex]

[tex]x \geq 77[/tex]

Hope this helps!

SOLVE FOR X ILL GIVE BRAINILEST

Answers

Answer:

x = -4

Explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x = -4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

[tex](-2)(3x)+(-2)(-4)-x-3=33[/tex] [tex]-6x +8 - x - 3 = 33[/tex] [tex](-6x-x)+(8-3)=33[/tex] [tex]-7x + 5 = 33[/tex]  

Step 2: Subtract 5 from both sides.

[tex]-7x + 5 - 5 = 33 - 5[/tex] [tex]-7x = 28[/tex]

Step 3: Divide both sides by -7.

[tex]\frac{-7x}{-7} =\frac{28}{-7}[/tex] [tex]x = -4[/tex]

Step 4: Check if solution is correct.

[tex]-2(3(-4)-4)- (-4)-3=33[/tex] [tex]-2(-12-4)+4-3=33[/tex] [tex](-2)(-12)+(-2)(-4)+4-3=33[/tex] [tex]24 + 8 + 4 - 3 = 33[/tex] [tex]32 + 4 - 3 = 33[/tex] [tex]36 - 3 = 33[/tex] [tex]33 = 33[/tex]

Therefore, x = -4.

Help help help help help help help​

Answers

9514 1404 393

Answer:

  1400 in 2020

Step-by-step explanation:

The number of students is increasing by 100 each year, so in 3 more years, the number will be 1100 +3×100 = 1400 students in 2020.

4.5 kg equals times one gram

Answers

Answer:

4500 gr

Step-by-step explanation:

4.5 kg equals some number (n) times one gram.  Solve this for n:

4.5 kg = n(1 gr)

Recall that 1 kg = 1000 gr.  Because of this, the equation above becomes

        4.5 kg          (4.5)(1000 gr)

n = --------------- or ------------------- or 4500 gr

       1000 gr                     1 gr

convert the equation 2x - 4y = 16 to slope intercept form

Answers

Answer:

y = 1/2x -4

Step-by-step explanation:

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

2x-4y = 16

Subtract 2x from each side

2x-4y-2x = -2x+16

-4y =-2x+16

Divide each side by -4

-4y/-4 = -2x/-4 +16/-4

y = 1/2x -4

The slope is 1/2 and the y intercept is -4

In ΔBCD, \text{m}\angle B = (5x+14)^{\circ}m∠B=(5x+14)

, \text{m}\angle C = (x+19)^{\circ}m∠C=(x+19)

, and \text{m}\angle D = (2x+19)^{\circ}m∠D=(2x+19)

. What is the value of x?x?

Answers

Answer:

x = 16

Step-by-step explanation:

m<B+m<C+m<D = 180°

5x + 14 + x + 19 + 2x + 19 = 180

8x + 52 = 180

8x = 180 - 52

x = 128/8

x = 16

6x² +12x²y + 6xy² chỉ tui đi

Answers

Answer:

6x(x+2xy+y^2)

Step-by-step explanation:

5-2(a+3b)/2 When a=4 and b=1.

Answers

Hello macelynn190!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \huge \tt \frac{5 - 2(a + 3b)}{2} [/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

To solve this question we need to substitute the given values of 'a' & 'b' in the equation & then simplify it.

Given,

a = 4b = 1

Now, substitute this in the place of 'a' & 'b'..

[tex]\large \tt \frac{5 - 2(a + 3b)}{2} \\ = \large \underline{\underline{\tt \: \frac{5 - 2((4) + 3(1))}{2} }}[/tex]

Lastly, simplify it...

[tex]\large \tt \: \frac{5 - 2((4) + 3(1))}{2} \\ = \large \tt\frac{5 - 2(4 + 3)}{2} \\ = \large \tt \: \frac{5 - 2(7)}{2} \\ = \large \tt \: \frac{5 - 14}{2} \\ = \large \tt\frac{-9}{2} \\ = \large \boxed{\boxed{ \bf \: -\frac{9}{2}=-4.5}}[/tex]

The answer is -9/2 or -4.5

__________________

Hope it'll help you!

ℓu¢αzz ッ

Given info:-

Simplify: 5-2(a+3b)/2. When a=4 and b=1.

[5-2(a+3b)]/2

Now, put a=4 and b=1 (Because this is given in question only)

so,

⇛[5-2{4+3(1)}]/2

⇛[5-2{4+3}]/2

⇛[5-2{7}]/2

⇛[5-2×7]/2

⇛[5-14]/2

⇛-9/2 Ans.

Similar questions:

Evaluate -[-1⅘ ÷ 0.3(1.2)] - 5/6

https://brainly.com/question/25291603

HELP ASAP NOW LIKE NOW
Consider cashiers and people who line up for the cashiers in a supermarket, in how many ways can 3 people line up for 3 cashiers

Answers

The total number of ways in which the 3 people line up for the 3 cashiers is 36 ways.

First, we consider the number of ways in which we can arrange the 3 cashiers. Since order matters, we use permutation. So, we have ³P₃ ways of arranging the 3 cashiers. ³P₃ = 3 × 2 × 1 = 6 ways.

Also, the number of ways we can arrange the 3 people to line up since order matters is ³P₃ =  3 × 2 × 1 = 6 ways.

So, the total number of ways in which we can arrange both the 3 cashiers and the 3 people in a line is ³P₃ × ³P₃ = 6 × 6 = 36 ways.

The total number of ways in which the 3 people line up for the 3 cashiers is 36 ways.

Learn more about permutations here:

https://brainly.com/question/12974932

Answer:

60 ways

Step-by-step explanation:

So, sadly there is no real algorithm that I could find for this so I just went ahead and listed all the ways that the people can be organized

3,0,0

0,3,0

0,0,3

2,1,0

2,0,1

1,2,0

1,0,2

0,2,1

0,1,2

1,1,1

So, we have 10 ways to organize them. But we need to remember that there are also 6 ways to randomly organize 3 people. So, 10x6 is 60

Using the slope formula, find the slope of the line through the given points.
(1,6) and (3,4)

Answers

To find slope you do y2-y1 over x2-x1. So 4-6 is -2. And 3-1 is 2. So -2/2 is -1. The slope is -1.

5 of 8
Here is a list of numbers:
-3, 1, –12, 10, 1, 16, 19, 4, 16,
2
State the median.

Answers

Answer:

3

Step-by-step explanation:

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