Consider the equation 4•e^2.7x = 33

Solve the equation for x. Express the solution as a logarithm in base-e.
x ≈

Approximate the value of x. Round your answer to the nearest thousandth.
x≈

Consider The Equation 4e^2.7x = 33Solve The Equation For X. Express The Solution As A Logarithm In Base-e.

Answers

Answer 1

Answer:

[tex] \huge x = ln( \frac{33}{4} ) \times \frac{ 10}{27} \\ \huge \: x \approx 0.782[/tex]

Step-by-step explanation:

to understand thisyou need to know about:logarithmPEMDASlet's solve:

[tex]4 {e}^{2.7x} = 33 \\ {e}^{2.7x} = \frac{33}{4} \\ 2.7x = ln( \frac{33}{4} ) \\ x = ln( \frac{33}{4} ) \times \frac{ 10}{27} \\ x \approx 0.782[/tex]

Answer 2

An equation is formed of two equal expressions. The value of x is 0.7815.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation 4•e^2.7x = 33 can be solved for x as,

[tex]4\cdot e^{2.7x }= 33\\\\ e^{2.7x }= \dfrac{33}{4}\\\\\text{Taking anti-log}\\\\2.7x = ln\frac{33}{4}\\\\x = ln(\dfrac{33}{4}) \times \dfrac{1}{2.7}\\\\x=0.7815[/tex]

Hence, the value of x is 0.7815.

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Related Questions

What is the surface area of the cylinder with height 4 m and radius 2 m? Round your answer to the nearest thousandth. ​

Answers

Answer:

         75.398 m²

Step-by-step explanation:

[tex]A=2\cdot\pi R^2+ 2\pi R\cdot H\\\\H=4\,m\\R=2\,m\\\\A=2\cdot\pi\cdot 2^2+2\pi \cdot2\cdot4=8\pi+16\pi=24\pi=75.398223....\approx75.398\ m^2[/tex]

Find the area of a trapezoidal tabletop, if its parallel sides are 2 m and 3 m long and the perpendicular distance
between them is l m.

Answers

Answer:

The area of the trapezoidal table top is 2.5 m²

Step-by-step explanation:

The area, A, of a trapezoid is given as half times the sum of the parallel side multiplied by the perpendicular distance between them

Therefore, we have;

[tex]A = \dfrac{a + b}{2} \times h[/tex]

The given parameters of the trapezoidal table top are;

The length of the parallel sides = 2 m and 3 m

The length of the perpendicular distance between the parallel sides = 1 m

Where, for the rectangular table top, we have;

'a', and 'b' = The lengths of the parallel sides = 2 m and 3 m respectively

h = The perpendicular distance between the parallel sides = 1 m

By substituting in the values, we have;

[tex]A = \dfrac{2 \ m + 3 \ m}{2} \times 1 \ m = 2.5 \ m^2[/tex]

The area of the trapezoidal table top, A = 2.5 m².

Identify the correct binder for each paint.

A common binder for watercolor paints is 1.gum Arabic 2.egg yolk 3. Polymers . For tempera, it is 1.linseed oil 2.egg yolk 3.gum Arabic

Answers

Answer:

egg yolk

Step-by-step explanation:

A common binder for watercolor paints is 1) gum arabic . For tempera, it is

2) egg yolk.

Find the sum using fraction bars or a paper and pencil. Write your answer in simplest form. 5/6 + 3/9

₁ 1/6
21/18
8/15
₁ 4/9

The tiny numbers are the whole numbers
Help me asap please
⇔ω⇔
ФωФ

Answers

Answer:

8/15 bc im beautiful

Step-by-step explanation:

Answer:

imma need my points back

Step-by-step explanation:

-6(3x + (-4y)) Simplify.

Answers

Answer:

−18x+24y

Step-by-step explanation:

sorry if its wrong

What is included in a total monthly mortgage payment?
O A. Principal, investment, taxes, and insurance
B. Payment, interest, taxes, and insurance
O C. Principal, interest, taxes, and insurance
D. Principal, interest, title, and insurance

Answers

your answer is C. principal interest taxes and insurance

Total monthly mortgage payment includes option C. Principal, interest, taxes, and insurance.

What is Mortgage Payment?

Mortgage is defined as a type of loan which are typically used to finance or maintain a property which can be land or other kinds of rentals.

They are referred to as secured loans.

Total monthly mortgage payment consist of mainly four components.

They are :

Principal InterestTaxes Insurance

The main components are principal and interest.

Principal amount is the amount that you borrowed for your purpose.

Interest payment is the amount that the lender charges which varies.

Hence the option is C.

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2x + 3 + 4x + 6 + 12x + 18 = 477

Please answer with solving steps. Thanks guys :)

Answers

Answer:

x= 25

Step-by-step explanation:

2x + 3 + 4x + 6 + 12x + 18 = 477

FIRST combine like terms

take all "x"

2+4+12= 18x

take all whole numbers

3+6+18= 27

18x+27= 477

now solve for x

-27 on both sides

18x= 450

÷18 on both sides

x= 25

yoi have to add the variables so 2x +4x+12x=18x and concombine like terms so 3 +6+18=27 so you have to put tbat together 18x+27=477 then you have to get x alone so you have to subtract 27 in both sides 27-27=0 then 477-27=450 then you have to do the oppsite of multiply so you have to divide 18x/18x and 450/18x 18÷18 is 1 so you just have to put x and then divide 450÷18=25 so x=25.

what is the volume of the sphere?

Answers

2304π is the answer and if you don’t want pi it’s 7238.2294738709 feet

what is the common ratio between 63, 21, 7?

Answers

Answer:

3

Step-by-step explanation:

7*3=21

21*3=63

Hope this helps.

Answer:

decreasing by a multiple of 3

Step-by-step explanation:

7x3=21, 21x3=63.

I think this is the answer! or I hope this helps a bit. have a good day or night!

Solve for x

[tex] {5}^{x} = 200[/tex]

Answers

The answer would be 40. 5 • 40 = 200

evaluate : ( -3/4 ) 2 pls and thank youu

Answers

Answer:-1.5

Step-by-step explanation:

First, -3/4 = -0.75

Second, -0.75 divided by 2 is -1.5

A satellite orbits in an elliptical path such that the Earth's center is one of the foci of the ellipse. The distance from the center of the orbit to the Earth's center is 4,100 miles. The foci are halfway between the center and the major axis vertices. Which equation can be used to model the path of this satellite's orbit?

Answers

Answer:

[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]

Step-by-step explanation:

The equation of the ellipse with centre at origin and major axis along the x-axis is:

[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]

Where 2a is the length of the major axis and 2b is the length of the minor axis. The following equation shows the relationship between the foci (c), major axis and minor axis:

a² = c² + b²

Since the earth center is one of the foci of the ellipse with distance from the center of the orbit to the Earth's center is 4,100 miles. Therefore the foci is at (4100, 0).

Hence c = 4100

Also, The foci are halfway between the center and the major axis vertices. Therefore the distance between the center and the major axis vertices (a) is twice the distance from the center of the orbit to the Earth's center.

a = 2c = 2(4100) = 8200 miles

We can get the distance from the center to the minor axis vertices (b), using:

a² = c² + b²

8200² = 4100² + b²

b² = 8200² - 4100²

b² = 50430000

b=√50430000

b = 7101.4 miles

The ellipse equation is:

[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]

Answer:

[tex]\frac{x^{2} }{67,240,000}+\frac{y^{2} }{50,430,000} =1[/tex]

Step-by-step explanation:

Please help me will give Brain!

Answers

Answer:

?=104

Step-by-step explanation:

180-76=104

how much sit-ups can you do in 1 minutes?​

Answers

I can do like 42, my highest was 54 though

apples are on sale for 5 for $3, how much does one apple cost?

Answers

The cost of one apple is I think $1.68
You just do 3 divided by 5. $0.60

WILL GIVE BRAINLIEST AND 20 POINTS!
Find m∠x given m∠y = 25°.

Answers

Step-by-step explanation:

If <y=A

In this case 360-25=335

Ethan surveyed 780 of the students in his school about their favorite color. 507 students said their favorite color was purple. What percentage of the surveyed students said their favorite color was purple?

Answers

65% said their favorite color was purple.

Help asap!! (i’ll give u brainliest)

Answers

Answer: 3

Step-by-step explanation:

Find profit percentage when S.P. of the article is Rs. 560 and C.P. is Rs. 500,with process ​

Answers

Answer:

first find the profit

profit % is the profit over CP times 100

Independent Practice


In 2002, the price of mailing a letter was $.34 for the first ounce or part of an ounce and $.21 for each ounce or part of an ounce after the first ounce.


Write a rule to describe the function. How much did it cost to mail a 4-ounce letter?


A.
f(x) = 0.21(x – 1); $.63


B.
f(x) = 0.34 + 0.21x; $1.18


C.
f(x) = 0.34 + 0.21(x – 1); $.97


D.
f(x) = 0.34x + 0.21(x – 1); $1.99

Answers

Answer:

C.

f(x) = 0.34 + 0.21(x – 1); $.97

Step-by-step explanation:

In 2002, the price of mailing a letter was $.34 for the first ounce and $.21 for each ounce after the first ounce. Write a rule to describe the function.

---------------------------------------

 

Price = 0.34 + 0.21(x-1) where x is the weight of the item in ounces.

Let +x+ = weight of the letter in ounces

Let +P+ = the price of mailing the letter in dollars

---------------------------------------

+P+=+.34+%2B+.21%2A%28+x+-+1+%29+

( +x+%3E=+1+ )

 

-----------------------------

A 4-ounce letter costs

+P+=+.34+%2B++%28+4+-+1+%29%2A.21+

+P+=+.34+%2B+.63+

+P+=+.97+

It costs $.97

LOTS OF POINTS hard math though

Answers

False because x is -5

Answer:

n o

Step-by-step explanation:

Multiply (3x + 2) (4x-5)

Answers

Answer:

12x^2-7x-10

Step-by-step explanation:

I did binomial into binomial method

3x(4x-5)+2(4x-5)

12x^2-15x+8x-10

12x^2+(-15+8)x-10

12x^2-7x-10

The answer is 12x^2-7x-10

5x to the second power minus 5x

Answers

Answer:

the answer us 20x

Step-by-step explanation:

5x^2-5x

25x-5x

20x

this answer is 20x hope this helped b

Suppose you deposited ​$100 in a savings account 4 years ago. The simple interest rate is 2.9%. The interest that you earned in those 4 years is ​$11.60. Which of the following​ is/are true?

A. t=4
B. p=2.9%
C. I=11.60
D. r=100

Answers

Answer:

T=4

l=11.60

Step-by-step explanation:

T is for time,and time given is 4.

so t=4 years

and Interest given is 11.60 bucks

so I=11.60

keep in mind that PRINCIPAL IS NEVER A PERFENTAGE!

RATE IS ALWAYS A PERCENTAGE!

Here, principal is 100 bucks and rate is 2.9%

also keep in mind that principal isnalways greater than interest.

thank you

5. Hey what is n divided by 2

Answers

Answer:

[tex]\frac{n}{2}[/tex]

I think it’s n over 2 I don’t know

TRIANGLE CONGUENCE
I need help on a and b please ASAP if u can am failing math please help if u can

Answers

Step-by-step explanation:

John and his 3 friends decide to order food. The cost of one box of food is $x. If each boy purchases one box of food, what is the total cost? *z decreased by 3 as an algebraic expression is *How many terms does the following expression contain? 2x + 5y - 5State the value of 9x - 3y if x=2 and y=3 *State the constant in the expression: ab + 5 - 2c *

Your answer

State the variable in the expression: 5p + 3 *Tanya is n years old today. How old will she be in 5 years?16 more than thrice m as an algebraic expression is *State the coefficient in the expression: 3x - 7 *

Your answer

State the value of ab if a=3 and b=5 *State the value of 9x - 3y if x=2 and y=3 *John and his 3 friends decide to order food. The cost of one box of food is $x. If each boy purchases one box of food, what is the total cost? *Vertical jumpHead turning

A grocery store sells tangerines in 25 kg bags. A customer bought 4 kg of tangerines for a school party. How many bags did he buy?

1. Select all equations that represent the situation.


A 4⋅25=?

B ?⋅25=4

C 25÷4=?

D 4÷25=?

E ?÷25=4

Answers

Answer:

D) 4/25

But didn't he have to buy at least the whole 25 KG bag?

Step-by-step explanation:

The soccer club held a spaghetti dinner. They sold 39 child tickets for $3.75 each and 27 adult tickets for $5.95 each. The amount for 11 child tickets was refunded. Estimate the amount of income received by the soccer club.

Answers

Answer:

265.65

Step-by-step explanation:

(3.75*39)+(27*5.95)-(11*3.75) = 265.65

what is the total payment made by Kay's parents on her 15th birthday
A . 15 B. 30 C. 60 D. 75what is the total payment what ​

Answers

Answer:

D

Step-by-step explanation:

the question is not understandable, why not try explain a little longer so that it can be clear.

Please Help 1 24 + r ; r = 9 2 2a + 3 ; a = 10 3 Bc + 12.3 ; b = 9, c = 4 4 p ÷ q ; p = 24, q = 8 5 4c - 7.8 ; c = 4 6 c - a ; a = 3, c = 17 7 a ÷ 2c ; a = 20, c = 2 8 3x - 14 ; x = 5 9 1.5 + y² ; y = 6 10 t/5 + 6 ; t = 45

Answers

Answer:

See solution below

Step-by-step explanation:

Given the following expression

1) 24+r

If r = 9

24 + r = 24+9

= 33

2) 2a+3

If a = 10

Substitute

2(10)+3

= 20+3

= 23

3) BC+12.3

b = 9

c = 4

Substitute

= 9(4)+12.3

= 36+12.3

= 48.3

4) p÷q

Given p = 24 and q = 8

p÷q = 24÷8

p÷q = 3

5) 4c-7.8

If c = 4

Substitute

= 4(4)-7.8

= 16-7.8

= 8.2

6) c-a

a = 3

c = 17

Substitute

= 17-3

= 14

Hence c-a = 14

7) a ÷ 2c ; a = 20, c = 2

Substitute

a÷2c

= a/2c

= 20/2(2)

= 20/4

= 5

8) 3x-14

If x = 5

Substitute

= 3(5)-14

= 15-14

= 1

9) 1.5 + y² ; y = 6

Substitute

= 1.5+6²

= 1.5+36

= 37.5

10) t/5 + 6 ; t = 45

substitute the value of t given into the expression

= 45/5 + 6

= 9 + 6

= 15

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