solve for the exact value of x
4ln(8x−2)+2= 10

Answers

Answer 1

9514 1404 393

Answer:

  x = (1/4) +(1/8)e^2

Step-by-step explanation:

Undo what is done to x.

  4ln(8x-2) +2 = 10

  4ln(8x -2) = 8 . . . . . . . subtract 2

  ln(8x -2) = 2 . . . . . . . . divide by 4

  8x -2 = e^2 . . . . . . . . . take antilogs

  8x = 2 +e^2 . . . . . . . . add 2

  x = (2 +e^2)/8 . . . . . .  divide by 8

  x = (1/4) +(1/8)e^2


Related Questions

Kari worked twice as many hours as Chris. She also worked ten less than three times as many hours as Mark. Chris and Mark worked the same number of hours.

Answers

Answer:

Kari = 20 hours

Chris = 10

Mark = 10

Explanation:

K is Kari's hours

C is Chris's hours

Karis = 2 x C = K

Chris = C

Mark = C

3C - 10 = K

Assume C is 10 (since 10 is 1/3 of the hours mentioned)

2 x 10 = 20 so K worked 20 hours

20 is twice as much as 10 (C's hours)

and it's 30 - 10 (10 less than 3 times as many hours as Mark)

Help I need HELP FAST I give brainliest.

IGNORE THIS TEXT: Which graph shows this solution set? y is greater than negative 2 and y is less than or equal to 2Answer options with 5 optionsA.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2 and positive 2, there are filled in circles. Between negative 2 and positive 2, the number line is shaded. B.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2 and positive 2, there are open circles. Between negative 2 and positive 2, the number line is shaded. C.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2, there is an open circle. At positive 2, there is a filled-in circle. Between negative 2 and positive 2, the number line is shaded. D.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2, there is an open circle. At positive 2, there is a filled-in circle. The number line is shaded to the left of negative 2 and to the right of positive 2. E.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2, there is filled in circle. At positive 2, there is an open circle. The number line is shaded to the left of negative 2 and to the right of positive 2.

Answers

Answer:

The answer choice would be C

A box of toy cars contains blue, orange, yellow, red, and black
cars. A separate box contains a male and a female action
figure. What is the probability of randomly choosing an orange
car and a female action figure? Is it likely or unlikely that this
combination is chosen?

Answers

Answer:

Step-by-step explanation:

Out of 195 students, 9% have
hazel eyes. How can you estimate the number of
students with hazel eyes?

Answers

Answer:

round it to 18 since 9% of 195 is 17.55

Step-by-step explanation:

What is the area of the isosceles triangle shown?

Answers

Answer:

672 meters squared

Step-by-step explanation:

Area of Triangle: b*h*1/2

The isosceles triangle's height, splits the base in half.

Answer:

672

Step-by-step explanation:

Area of a triangle = [tex]\frac{bh}{2}[/tex]

where b = base length and h = height

In the triangle shown, we are only given the base length

This means that we must find the height in order to find the area.

We can do this by using the Pythagorean theorem

[tex]a^2+b^2=c^2[/tex]

where a and b = legs and c = hypotenuse

Two right triangles are formed within the isosceles triangle.

Each has a hypotenuse of 50 m, a base length of 28/2=14m ( because they are sharing the base length ) and they are both sharing the height.

So we are given the hypotenuse and a leg and we need to find the other leg

So we plug in what we are given and solve for the missing side length

[tex]50^2=a^2+14^2\\50^2=2500\\14^2=196\\2500=a^2+196[/tex]

step 1 subtract 196 from each side

2500 - 196 = 2304

196 - 196 cancels out

we now have 2304 = a²

step 2 take the square root of each side

[tex]\sqrt{a^2} =a\\\sqrt{2304} =48[/tex]

we're left with a = 48

This means that the height of the isosceles triangle is 48m

Now we can find the area.

Using the formula stated previous....

[tex]A=\frac{28*48}{2} \\28*48=1344\\\frac{1344}{2} =672[/tex]

Hence, the area is 672m²

Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 18)(0,18) and (2, 288)(2,288).

Answers

Answer:

[tex]y = 18*4^x[/tex]

Step-by-step explanation:

We want an exponential equation in the following format:

[tex]y = ab^x[/tex]

Point (0,18):

This means that when [tex]x = 0, y = 0[/tex]. So

[tex]y = ab^x[/tex]

[tex]18 = ab^0[/tex]

[tex]a = 18[/tex]

So

[tex]y = 18b^x[/tex]

Point (2,288):

This means that when [tex]x = 2, y = 288[/tex]. So

[tex]y = 18b^x[/tex]

[tex]18b^2 = 288[/tex]

[tex]b^2 = \frac{288}{18}[/tex]

[tex]b^2 = 16[/tex]

[tex]b = 4[/tex].

So

[tex]y = 18*4^x[/tex]

Sara claims that the number of pages she has read in her book is proportional to the number of minutes that she has spent reading. She collects several data points to prove her claim and expresses the data points as (x, y) coordinate pairs.

Which of the following actions could Sara take to prove her claim? Select two that apply.

A. Place the coordinate pairs in a table and show that they create equivalent ratios.


B. Use the coordinate pairs to show that an equation of the form y = x + c can be written.


C. List out the coordinate pairs and show that each y–value is a multiple of its associated x–value.


D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.

Answers

Answer:

B. Use the coordinate pairs to show that an equation of the form y = x + c can be written. C. List out the coordinate pairs and show that each y–value is a multiple of its associated x–value. D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.

Step-by-step explanation:

Answer:

D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.

hope it helps have a nice dayyy

please answer this as quick as possible.​

Answers

Answer:

False

x=8-10=-2

Step-by-step explanation:

[tex]\sf\purple{False.}[/tex] ✅Step-by-step explanation:-

[tex]10 = x - 8 \\ ➡ \: x = 10 + 8 \\ ➡ \: x = 18[/tex]

[tex]\sf\red{The\:value\:of\:x\:is\:18.\:}[/tex]

[tex]\sf\pink{Hence,\:it\:is\:false.}[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]


A boat can travel 395 miles on 79
gallons of gasoline. How far can it travel
on 21 gallons?

Answers

86………………………………………………

I need help with this question I don’t understand it much?

Answers

Answer:

-5

Step-by-step explanation:

I think the m is for measure of line AB

Un aserradero adquiere maquinaria y equipo para el corte de madera, que va perdiendo valor conforme transcurren los años, hasta que su valor contable es cero, como indica la gráfica de la función D(x)=(-x^3+2x^2+20x+20)/(x^2+4x+4) que modela esta depreciación en el eje y cada unidad son 20 000 pesos y en el eje x cada unidad es de 3 años.
a) ¿Cuál es el valor inicial del equipo y herramienta? ¿cuánto se ha depreciado al cabo de 12 años?

b) ¿existe un modelo lineal que aproxime los mismos valores que la función D(x)?

c) ¿En cuánto difieren los valores de ambas funciones al cabo de 9 años?

Answers

Answer:

-1 5

Step-by-step explanation:


What is the volume of a cylinder with a base area of 23 cm2 and a height of 15 cm

Answers

Answer:

V =345 cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = Bh where B is the base and h is the height

V= 23 * 15

V =345 cm^3

Answer:

345cm³

Step-by-step explanation:

AB h = 23 x15

= 345cm³

Your welcome!

Find the 8th term in the
sequence
-1/2,-1, -2, -4,...
Hint: Write a formula to help you.
1st term . Common Ratio desired term – 1)

Answers

Answer:

-64

Step-by-step explanation:

By looking at the numbers, we can identify that this is a geometric sequence and the ratio would be 2. The formula to find the nth term in a geometric series is:

[tex]t *r^{n-1}[/tex]

where t is the first term and r is the ratio. We can substitute in the information we know:

[tex]-\frac{1}{2} *2^{n-1}[/tex]

We are looking for the eighth term, so we substitute 8 where n is:

[tex]-\frac{1}{2}*2^{8-1}[/tex]

We can simplify:

[tex]-\frac{1}{2}*2^7[/tex]

[tex]-2^6[/tex]

[tex]-64[/tex]

Can anyone help me out here !

Answers

Okay, so we’ll use sin in this case. You could use cos too, I just like sin. Sooo

sin(?) = 39/89
? = sin^-1(39/89) <— make sure you calculator is in degrees mode, not radians when doing this calculation!
? = 25.989° ≈ 26°

Rectangle ABCD is shown on the grid. What is the area of rectangle ABCD in square units? 6 O 3V17 square units B (3, 3) O 6/17 square units O 17 square units O 34 square units 6-5-4-3-2-11 3 4 5 6 X -3 C (1.-5)​

Answers

Answer: b is correct

Step-by-step explanation: i did this

The area of rectangle ABCD is 34 square unit.

What is Distance Formula?

In a cartesian plane there are two coordinates as P(a, b) and Q(c, d) then the distance between these points are

PQ = √(c- a)² + (d- b)²

We have Coordinates of rectangle

A(-1, 4), B(3, 3), C(1, -5) and D(-3, -4)

Using Distance Formula

AB = √ (3-4)² + (3+1)²

AB = √1 + 16

AB = √17 unit

Now, CB = √(-5-3)² + (1-3)²

CB= √ 64 + 4

CB = √68

CB = 2√17 unit

So, the area of Rectangle ABCD is

= l w

= √17 x 2√17

= 2 x 17

= 34 square unit

Learn more about Distance Formula here:

https://brainly.com/question/25841655

#SPJ7

Translate the word phrase into a math expression.
15 fewer than the product of 4 and a number.

ples look at pic to know the options :)

Answers

Answer:

15 - 4x

Hope this helps :)

comments favorite math problem​

Answers

You want math problems???

Answer:

Hᴇʏᴀᴀᴀ!! ᴍʏ ɴᴀᴍᴇ ɪꜱ ᴘɪɴᴋʏ ᴀɴᴅ ɪ ᴀᴍ ʜᴇʀᴇ ᴛᴏ ᴀɴꜱᴡᴇʀ ʏᴏᴜʀ Qᴜᴇꜱᴛɪᴏɴ!!ʕ ꈍᴥꈍʔ☆

Step-by-step explanation:

ɪ ᴅᴏɴ'ᴛ ʀᴇᴀʟʟʏ ʟɪᴋᴇ ᴍᴀᴛʜ ʙᴜᴛ ɪꜰ ɪ ʜᴀᴅ ᴛᴏ ᴄʜᴏᴏꜱᴇ ᴀ ꜰᴀᴠᴏʀɪᴛᴇ ɪᴛ ᴡᴏᴜʟᴅ ʙᴇ ᴀʟɢᴇʙʀᴀ!!  (◕ᴗ◕✿)

  ʜᴀᴠᴇ ᴀɴ ᴀᴍᴀᴢɪɴɢ ɴɪɢʜᴛ ᴏʀ ᴅᴀʏ!

      *:・゚✧*:・゚ꜰʀᴏᴍ ʏᴏᴜʀ ᴏɴᴇ ᴀɴᴅ ᴏɴʟʏ ᴘɪɴᴋʏ  ʕ ゚ ● ゚ʔ✧✧・゚: *✧・゚:* *:・゚✧*:・゚

Challenge A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the
coins, 8% are pennies and 42% are dimes. There are 5 more nickels than pennies. How much money
does the bag contain?
The bag contains $

Answers

The bag contains 28 dollars

6. If radius is 18 am and an angle at center of circle
is 120 degrees, then the area of the sector is.......
A. 382.4 cm
B. 339.3 cm?
C. 350 cm2
D. 300 cm?

Answers

Answer:

Try A

Step-by-step explanation:

382.4cm

Ms. Hall withdrew $20 from her checking account twice a week. Her total withdrawal amount when she last checked was -$220. How many weeks has she been doing this for?

Answers

Answer: five and a half weeks.

Step-by-step explanation: 20 times 2 (the twice a week deposit) = 40. 220 (the negative checking) divided by 40 (the deposits each week) equals 5.5

What is the volume of the cylinder below?

Use 3.14 for pi.

Answers

Answer:

V = 502.4 cm³

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cylinder Formula: V = πr²h

r is radiush is height

Step-by-step explanation:

Step 1: Define

r = 4 cm

h = 10 cm

Step 2: Find Volume

Substitute in variables [Volume of a Cylinder Formula]:                                V = (3.14)(4 cm)²(10 cm)Evaluate exponents:                                                                                         V = (3.14)(16 cm²)(10 cm)Multiply:                                                                                                             V = (50.24 cm²)(10 cm)Multiply:                                                                                                             V = 502.4 cm³

What is the prime factorization of 156?​

Answers

2 * 2 * 3 * 13
This is the answer :)

what is a valid inference

Answers

Answer:

Deduction is inference deriving logical conclusions from premises known or assumed to be true, with the laws of valid inference being studied in logic. Induction is inference from particular premises to a universal conclusion.

Step-by-step explanation:

The ages of customers in a shoe store at exactly two in the afternoon are shown in the stem and leaf plot below. Customers' Ages How many customers are under the age of 40? A. 15 B. 16 C. 10 D. 3

Answers

I do not see a plot

Answer:

A

Step-by-step explanation:

solve the inequality

Answers

Answer:

x<3

Step-by-step explanation:

4x-7<5

4x<5+7

4x<12

x<3

Can someone please help me please....

Answers

Answer:

a

Step-by-step explanation:

Jason spent $980 total on a new Ps5 and some games. He paid $800 for the Ps5 and he paid $45 per game. How many games did Jason buy?

Answers

Answer:

4 games

Step-by-step explanation:

Hope this is right!!!

Answer:

4

Step-by-step explanation:

So first off, subtract the 800 from the 980, this leaves the amount of money left ofr games:

980-800

=

180.

Next divide this by how much each game cost, to get the amoutn per game:

180/45

=

4

So we know he got 4 games.

Hope this helps!

A triangle has base 4 cm
and height 9 cm, What is its
area​

Answers

Answer = 18
A= hb/2 = 9·4/2 = 18

Answer:

18 cm^2

Step-by-step explanation:

Formula for area of triangle: bh/2

4x9=36

36/2=18

Please help ASAP Please

Answers

Answer:

72 in.

Step-by-step explanation:

The height is scaled up time 6, so the base would be too. 12*6 = 72.

I really need major help .

Answers

Answer:

Step-by-step explanation:

A)

exponential ,  b/c it curves upwards

B)

a linear graph with have a constant number of growth, and an exponential, needs that number to change, so that's why the exponent is required.

C)

Maybe a temperature function that could follow the outdoor temp over a few hour period , say in the morning.. as the temp goes up in a linear fashion.

maybe the temp at 8 am would be 50  then at 9 it would be 55 and at 10 it would be 60 and at 11 it could be 65  , something like that seems like it would be a good working example of a linear function that was not chosen

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