Solve In(5x + 3) = 2.5​

Answers

Answer 1

Answer:

[tex]x=\frac{e^{2.5}-3}{5}[/tex]

Step-by-step explanation:

Let y = 5x + 3
Then we get
㏑(y) = 2.5

Using exponentiation,

[tex]e^{lny} = e^{2.5}\\\textrm{But }e^{lny} \textrm{ is simply y (log rule)}\\\textrm{So we get}\\y = e^{2.5}\\\\\\\textrm{Substituting for y we get}\\\\5x + 3 = e^{2.5}\\x = (e^{2.5} - 3)/5\\[/tex]

This works out to x = 1.83649879


Related Questions

What is the total area, in square meters, of the shaded sections of the trapezoid
below?
7 m
9.9 m
10 m
8.6 m

Answers

Answer:

84.5m would be the area

Step-by-step explanation:

7m, 10m = 35m

9.9m, 10m= 49.5m

35m + 49.5m+ 84.5m

please let me know if I did it good and lmk if I did anything wrong ( finding area )

Answers

well done you did amazing I will congratulate you with a slice of pizza

A 36 oz container of Sour Punch Juice costs $6.84. A 48 oz container of the same juice costs $10.08. Which is the better buy?

Answers

Answer:

the 10$ one

Step-by-step explanation:

You've taken out a load for $5,000 for five years. The interest you'll be paying over the five years is $2,250. What interest rate are you paying?
i need someone to please explain to me STEP BY STEP how to do this thank you

Answers

Answer:

2

Step-by-step explanation:

divide 5,000 by 2,250 and you get 2 its like you have 0 quarters and you want to know how many you need to have to get 50 cent 50 divided by 25 equal 2 but your quistion answer is 2

x-4 in word form
Please help it’s due today!

Answers

Answer:

x  minus four

Step-by-step explanation:

What is the sum of 0.5 and 0.3 ?

Answers

Answer:

0.8

Step-by-step explanation:

5 x 3 = 8 (Add the "0." at the end) That's all, hope it helped!

Answer:

The answer is 0.8. Think of it like a normal number.

help, don't guess. tyyyy

Answers

Answer:

[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]

0 (zero)

Step-by-step explanation:

The 8-sided die has numbers less than 9. So, they can never be greater than 9.


Solve and graph.
k - 13 > -51

Answers

Answer:

The answer will be A k>-38

What is 80% of 72 ? pls help due today

Answers

Answer:

Step-by-step explanation:

57.6

Answer:

57.6

Step-by-step explanation:

You multiply 72 by .8 because you have to change the percent into a decimal place to multiply it by. 0.8 is 80 hundredths and fractions are numbers out of 100. I hope I could help you :)

PLEASE HELP. NO SCAMMERS
the storm trooper camp is open for 7 and 1/2 hours a day. The camp keeps one guard on duty at a time, and their shift is 1 and 1/2 hours long. how many shifts are there a day?

Answers

Answer:

there are 5 shirts a day

Step-by-step explanation:

you divide the number of hours the camp is open by the time a guard is on duty. 7.5 ÷ 1.5 =5

Plz help fast will mark brainliest!!!

Answers

The answer :9.1×10 ^3

Can anyone answer this ASAP

Answers

Answer:

650 ft^2

Step-by-step explanation:

Without the gap, the area of the rectangle is 20ft x 35ft = 750 ft^2. The gap is a square having 10ft on the side so its area is 10ft x 10ft = 100 ft^2. Subtracting the area of the square gap from the rectangle gives you 650 ft^2.

A cyclist travels 5.8 km in 30 minutes.
What is his average speed in km/h?

Answers

Answer:

11.6km/hr

Step-by-step explanation:

You need to double 30 minutes to get an hour, so do the same with the distance.

5.8*2=11.6 km

11.6km/hr

I just need a explanation pls

Answers

Answer:

SCreenshoit

wont lddlwd

Step-by-step explanation:

A drawer contains 2 Red Socks, 7 White Socks, and 9 blue sock Without looking, you draw out a sock and then draw out a second sock without returning the first sock. What is the probability that the first sock and the second sock are both red?​

Answers

Answer:

1/153

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

probability that the first sock and the second sock are both red = (number of red socks /total number of socks) x (number of red socks /total number of socks)

At the first pick, the probability = 2/18

At the second pick because there is no replacement, there would be 1 red socks and 17 socks = 1/17

2/18 x 1/17 = 1/153

In rectangle MNOP, MO = 4x - 10 and NP = 2x + 4.
What is the length of a diagonal?

Answers

Answer:

18

Step-by-step explanation:

From the rectangle, M O = NP

4x - 10 = 2x+4

4x-2x = 4 + 10

2x = 14

x = 14/2

x = 7

SInce MO and NP are the diagonal

Length of diagonal = 4x- 10

Length of diagonal = 4(7) - 10

Length of diagonal = 28 - 10

Length of diagonal = 18

hence the required length is 18

Central Angles and Arc Measures Practice

What is X?

Answers

Answer: [tex]5^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle DIE=(18x-2)^{\circ}\\\angle DIH=15^{\circ}\\\angle FIG=103^{\circ}[/tex]

from the figure

[tex]\angle HIE=\angle GIF\quad [\text{vertically opposite angles}]\\\angle HID+\angle DIE=\angle GIF\\15^{\circ}+(18x)^{\circ}-2^{\circ}=103^{\circ}\\(18x)^{\circ}=103^{\circ}-13^{\circ}\\\\x=\dfrac{90^{\circ}}{18}\\\\x=5^{\circ}[/tex]

the product of twice a number and one less than that same number

Answers

Answer:

(2n)*(n-1)

Step-by-step explanation:

helpppppp meeeeeeeee

Answers

Answer:

True

Step-by-step explanation:

This is so basic haha but happy to help

Big points if you answer this

Answers

Answer:

i think its  A but im not 100 percnt sure

Answer:

a

Step-by-step explanation:

Determine a simplified expression to represent the area of shaded region within the figure below

Answers

Answer:

[tex](5x-3)^{2}[/tex] - (3x+1)(2x-1)

Step-by-step explanation:

Determine the area of the large square: (5x - 3)(5x - 3)

Determine the area of the small rectangle: (3x + 1)(2x -1)

Subtract the area of the small rectangle from the area of the large square to get the area of the shaded region.

Simplify: [tex]\frac{\left(x^{\frac{5}{2}}\cdot 6y^2\cdot \sqrt[3]{y^4}\right)}{12x^{\frac{1}{2}}\cdot \sqrt[4]{x^3}}[/tex]

Answers

Answer:

[tex]\frac{1}{2} x^{\frac{5}{4} }y^{\frac{10}{3}}[/tex]

Step-by-step explanation:

[tex]\frac{x^{\frac{5}{2} }*6y^2*\sqrt[3]{y^4} }{12x^{\frac{1}{2}}*\sqrt[4]{x^3} } =[/tex] [tex]\frac{x^{ \frac{5}{2} }6y^2y^{ \frac{4}{3} } }{12x^{ \frac{1}{2} }x^{ \frac{3}{4} }} =[/tex][tex]\frac{1}{2} x^{\frac{5}{2} - \frac{1}{2} - \frac{3}{4}}y^{2+\frac{4}{3}}=[/tex][tex]\frac{1}{2} x^{\frac{5}{4} }y^{\frac{10}{3}}[/tex]

can someone help me... thanks ❤️

Answers

Answer:

13m

Step-by-step explanation:

 

How DISGUISE WILL BE WRITTEN IN THE CODE​

Answers

Answer:

what are you asking?

Step-by-step explanation:

John is trying to convert an area from meters squared to millimeters squared. He multiplied the area he had by
1,000 and got the wrong answer. What should he have multiplied the original area by?

A) 100

B) 1,000

C) 1,000,000

D) 10​

Answers

I think it’s either 10 or 100 because a millimeter is 1 and how it’s not in the option it’s most likely one of those two you can decide on this part but I’m just tryin to help!

Answer:

1,000,000

Hope this helps <3

Among the licensed drivers in the same age group, what is the probability that a 78-year-old was involved in an accident? Use the table below.​

Answers

Answer:

C. 6.6%

Step-by-step explanation:

The probability of an event 'A' occurring, P(A) is given by the ratio of the number of times event A occurs to the some of all possible events

Mathematically, we have;

[tex]The \ probability \ of \ an \ event = \dfrac{The \ number \ of \ the \ required \ outcome}{The \ number \ of \ all \ possible \ outcomes}[/tex]

The number of drivers involved in an accident who are above 75 years = 13,321

The total number of drivers in accidents = (10,034 + 17,173+ 35,712+ 40,322 + 40,937 + 30,355 + 17,246 + 13,321) = 205,100

A 78-year-old is in the age group of 75 and older

∴ The probability that a 78-year-old licensed driver was involved in an accident = The probability that a 75 and older year-old licensed driver was involved in an accident = 13,321/205,100 ≈ 0.06495 = 6.5%

Therefore, the best option is option C. 6.6%

Answer:

4.2

Step-by-step explanation:

<333

What is the number that is 1 number before infinity?

WHOEVER WILL ANSWER FIRST AND CORRECT WILL BE THE BRAINLIEST and take ur time I am asking for fun to see who is the best☺​

Answers

Answer:

напиши по русский

Я НЕ ПОНИМАЮ.

PLEASEEE HELP MEEEE

NO LINKSSS

Answers

Answer:

[tex]\huge\boxed{(2,\ 3);\ (-1,\ 6)}[/tex]

Step-by-step explanation:

[tex]f(x)=x^2-2x+3\to y=x^2-2x+3\\f(x)=-x+5\to y=-x+5\\\\\left\{\begin{array}{ccc}y=x^2-2x+3&(1)\\y=-x+5&(2)\end{array}\right[/tex]

substitute (1) to (2):

[tex]x^2-2x+3=-x+5[/tex]     add x to both sides

[tex]x^2-2x+x+3=-x+x+5[/tex]

[tex]x^2-x+3=5[/tex]        subtract 5 from both sides

[tex]x^2-x+3-5=5-5[/tex]

[tex]x^2-x-2=0\\\\x^2+x-2x-2=0\\\\x(x+1)-2(x+1)=0\\\\(x+1)(x-2)=0\iff x+1=0\ \vee\ x-2=0\\\\\boxed{x=-1\ \vee\ x=2}[/tex]

substitute the values of x to (2):

[tex]x=-1\\\\y=-(-1)+5=1+5=6\\\\\huge\boxed{(-1,\ 6)}\\\\x=2\\\\y=-2+5=3\\\\\huge\boxed{(2,\ 3)}[/tex]

a rectangular garden has a length which is 14 feet longer than 4 times its width. its area is 60 find length and width. Pls help

Answers

Answer:

56

Step-by-step explanation:

Can someone help me with this?

Answers

Answer:

Step-by-step explanation:

We first need to figure out how much money Jackie has since Pilar has the same amount of money, but in different coins. Jackie has 24 dimes and 13 quarters, so the amount of money is $2.40 + $3.25 = $5.65; therefore, Pilar has $5.65 also. In order to determine how many nickels and quarters Pilar has, we have to have a system of equations. It's up to us to write the equations we need to solve this. The first equation has to do with the NUMBER of coins Pilar has, the second has to do with the VALUE of each coin. We know that Pilar has only nickels and quarters and that she has a total of 53 coins. So the NUMBER equation is

n + q = 53

The VALUE equation relates how much each coin is worth to the total amount of money it equals:

.05n + .25q = 5.65.

Go back to the first equation and solve it for either n or q. I solved it for n:

n = 53 - q

Plug this into the second equation in place of n now to get:

.05(53 - q) + .25q = 5.65 and

2.65- .05q + .25q = 5.65 and

.20q = 3 so

q = 15. This means that there are 15 quarters. If there are 15 quarters, then there are

n + 15 = 53 nickels and

n = 38 nickels.

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