if In x + ln(x – 4) = ln(7x), then x ​

Answers

Answer 1

Answer:

x=11

Step-by-step explanation:

ln rule: ln(ab)=ln(a)+ln(b)

ln(x)+ln(x-4)=ln(7x)

ln(x(x-4))=ln(7x)

x^2-4x=7x

x^2-11x=0

x(x-11)=0

x=0 or x=11

Since ln(x) is undefined when x is less or equal to 0

x=11


Related Questions

HELP ASAP! I WILL MARK BRIANLIST! THANK YOU (:

Answers

The answer is 3 just took the test

Vicki made 3 quarts of lemonade to serve at her party. she will serve the lemonade in glasses that hold 1 cup of liquid each. how many of these glasses can Vicki fill with lemonade? ( giving extra points etc. )

A : 16

B : 12

C : 14

D : 8

Answers

Answer: 12, B

Step-by-step explanation: There are 2 pints in a cup, and two cups in a quart. so 2 plus 2 is 4. 4 times 3 equals 12. so it is 12

how many time larger is 5000 to 5

Answers

Answer:

1000 times larger.

Step-by-step explanation:

Answer:

1000 ( divide 5000 by 5 )

Can somebody help me?

Answers

Answer:

the answer 24 squared

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Add 11 on both sides, therefore getting x is less than or equal to 11.  Now find the graph that fits the description - therefore D.  

A jar contains 10 red marbles 18 blue marbles and 12 white marbles. Which multiplication will halo you find the sorted probability of picking a red marble, replacing it, then picking a blue marble?

Answers

Answer:

[tex]\frac{9}{80}[/tex]

Step-by-step explanation:

So there is 40marbles in total

The probability of picking a red marble first is [tex]\frac{10}{40}[/tex] because there is 10 red marbles out of 40 total marbles

Then you replace it and I'm going to assume that you put the red marble back.

Then you would still have 40 marbles and the probability of picking a blue one is [tex]\frac{18}{40}[/tex] because there is 18 blue marbles.

Then you multiply [tex]\frac{10}{40}[/tex] and [tex]\frac{18}{40}[/tex] and that is [tex]\frac{9}{80}[/tex]

Hope this helps and If I'm wrong pls tell me.

Find the distance between the two numbers on the number
line.

Answers

Answer:

3 1/2

Step-by-step explanation:

|-7| - |-3 1/2| = 3 1/2

Find the surface area
No link please and thank you

Answers

Answer:

1200 in^2

Step-by-step explanation:

SA = 2B + Ph

SA = 2(8 * 15 / 2) + 40(27)

SA = 1200

Find the equation of a circle that has a diameter with endpoints given by the points
A(-4,1) & B(4,2).

Answers

Step-by-step explanation:

The endpoints of the diameter are A(-4,1) and B(4,2) . For finding the equation of circle we need to find the centre and the radius.

Coordinates of centre can be find out by the midpoint formula.

[tex] \implies Center = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\implies Centre = \bigg(\dfrac{-4+4}{2},\dfrac{1+2}{2}\bigg)\\\\\implies \boxed{\boxed{Centre = (0 , 1.5)}}[/tex]

Now the measure of radius can be obtained by half the distance between them.

[tex]\implies D = \sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}\\\\\implies D =\sqrt{ (4+4)^2+(2-1)^2}\\\\\implies D = \sqrt{ 64 + 1 }\\\\\implies D =\sqrt{65} \\\\\implies \boxed{\boxed{ Radius = \dfrac{\sqrt{65}}{2} }}[/tex]

We know the general equation of circle as ,

[tex]\implies (x-h)^2+(y-k)^2= r^2[/tex]

(h,k) is centre r is radius.

[tex]\implies (x-0)^2+ (y-1.5)^2 = \bigg(\dfrac{\sqrt{65}}{2} \bigg)^2\\\\\implies x^2 + (y-1.5)^2=\dfrac{65}{4} \\\\\implies\boxed{\boxed{ 4x^2+4(y-1.5)^2 = 65 }}[/tex]

Wei biked 91 meters. Paul biked 65 meters. How much farther did Wei bike than Paul? Enter the answer in the box. meters​

Answers

Answer:I have the same quastion too

Step-by-step explanation:

Please help thank you

Answers

An outside angle of a triangle is equal to the sum of the two opposite inside angles.

X = 30 + 40 = 70

Savings Account: A woman deposits $400 in a savings account that pays 6% annually. If she withdraws all the money in the account after 120 days, how much does she withdraw (rounded to the nearest dollar)? She withdraws $ * after 120 days.

I'm struggling with this one any help would be greatly appreciated!​

Answers

Answer:

jdbdvfbf did ddbvdrvd d dv

Function f(x) has a jump discontinuity at x = 8. Which statement identifies possible one-sided limits at x = 8?

O

lim f(x) DNE and lim F(x) DNE

X-8


tim f(x) DNE and lim f(x) = 120

X-8

Olim f(x) = 85 and lim f(x) = 85

X-8


lim f(x) = 85 and lim f(x) = 120

X 81

Answers

It’s :lim f(x)=85 and lim f(x)=120

The limit of the given functions f(x)=85 and lim f(x)=120.

We have given that,

Function f(x) has a jump discontinuity at x = 8.

We have to determine a statement that identifies possible one-sided limits at x = 8.

What is the meaning of discontinuity?

lack of continuity or cohesion.  gap sense 5. The property of being not mathematically continuous is a point of discontinuity. an instance of being not mathematically continuous, especially a value of an independent variable at which a function is not continuous.

lim f(x)=85 and lim f(x)=120

To learn more about limit visit:

https://brainly.com/question/26867415

#SPJ2

2
In 2002, there were 450 households in the city of Klean that recycled. Each year since 2002, the number of
households that recycle has grown by 8%. Write a function to represent the number of households
in Klean that recycle x years since 2002.

Answers

Answer:

450 x 1.08 ^ X = N

Step-by-step explanation:

Since in 2002, there were 450 households in the city of Klean that recycled, and each year since 2002, the number of households that recycle has grown by 8%, to write a function to represent the number of households in Klean that recycle X years since 2002 the following mathematical reasoning should be raised:

450 (initial number) x 1.08 (8% is added to the initial number) ^ X (years) = Number of households that recycle

450 x 1.08 ^ X = N

Thus, for example, if said number were calculated in 2007, that is, 5 years after 2002, the equation would apply as follows:

450 x 1.08 ^ 5 = N

450 x 1.4693 = N

661.20 = N

With individual lines at its various windows, a post office finds that the standard deviation for normally distributed waiting times for customers on Friday afternoon is 7.2 minutes. To test this claim, the post office experiments with a single, main waiting line and finds that for a random sample of 25 customers, the waiting times for customers have a standard deviation of 3.5 minutes. a) With a significance level of 5 percent, conduct an appropriate test on the claim. (State your null hypothesis, test statistic, critical value, decision rule, conclusion) (15 points) b) What is the 95% confidence interval for the population variance

Answers

Answer:

H0 : σ²= 7.2²

H1 : σ² < 7.2

We can conclude that the mean waiting time of customers vary less, Than 7.2 minutes.

Step-by-step explanation:

H0 : σ²= 7.2²

H1 : σ² < 7.2²

The test statistic :

X² = [(n - 1)*s² ÷ σ²]

s² = 3.5

n = sample size = 25. ; s²

X² = [(25 -1)*3.5² ÷ 7.2²

X² = (24 * 3.5^2) / 7.2^2

X² = 5.67

Pvalue from Chisquare statistic :

P(X² < 5.67) = 0.000042

Pvalue < α ; we reject the Null.

Hence, we can conclude that the mean waiting time of customers vary less, Than 7.2 minutes.

Pls help me I don’t know I just need 5 and 6 to be answered

Answers

Answer:

5. Mark had 6 laps and John has 42 laps. So you could do a sentence like: John has 42 laps and Mark has 6 laps. What is the diffrence between the two laps?

6. Im not sure about this one :/. Im truly sorry. :(. Good luck tho!

Step-by-step explanation:

2/16 1 0 1 2 Which inequality matches the graph? A) n​

Answers

There is no picture but I'll help you find out:

The inequality is easy because an inequality says,

y > mx + b (This is just an example)

m = slope

b = y- intercept

What about the sign?

If the circle in the graph which is at the y-intercept (b) is OPEN than it's either < or > depending on where it's going, if it's going to the right on a number line than it's >, however if it goes left than it's <.

What about the AND EQUAL TO sign?

Well same rules apply, however if the circle is CLOSED than it should be      ≤ or ≥, same rules apply, if it goes right or left it's the same rule the only thing that changes is the and equal to, if circle is closed.

Example:

slope: 1/2

y-intercept: -9 (and the line is shaded to the right)

Open circle:

Equation: y > 1/2x - 9

Example 2:

slope: 3/4

y-intercept: -9 (is shaded to the left (less than))

(shaded)Closed circle:

Equation: y ≤ 3/4x - 9

3(4x – 2.5) = 5(0.4x + 10) + 33
what is the solution? ASAP

Answers

Answer:

3(4x - 2.5) = 5(0.4x + 10) + 33

3•(4•x - 2.5) = 5•(0.4•x + 10) + 33

10x = 90.5

x = 181/ 20

= 9.05

Step-by-step explanation:

9514 1404 393

Answer:

  x = 9.05

Step-by-step explanation:

Start by eliminating parentheses.

  12x -7.5 = 2.0x +50 +33

  10x = 90.5 . . . . . . . . . . . . . add 7.5-2x

  x = 9.05 . . . . . . . . . . divide by 10

How long is the base of a parallelogram if it has an area of 100 square meters and a height of 5 meters?

Answers

Answer:

Base of parallelogram = 20 meter

Step-by-step explanation:

Given:

Area of parallelogram = 100 square meters

Height of parallelogram = 5 meters

Find:

Base of parallelogram

Computation:

Area of parallelogram = [Base of parallelogram][Height of parallelogram]

By putting value in the formula;

100 =  [Base of parallelogram][5]

Base of parallelogram = 100 / 5

Base of parallelogram = 20 meter

find the area of the shape below
I WILL MARK BRAINLEST!!

Answers

Answer:

25.75 sq units

Step-by-step explanation:

Big triangle = 1/2 * 3.5 * 9 = 15.75

Tiny triangle = .5 * 2 * 2 = 2

Medium triangle = .5 * 2 * 5 = 5

square = 2 * 2

15.75 + 4 + 5 + 2

Your centrifugal pump costs approximately $30 to run each day. Your facility is charged 9.7 cents per kilowatt hour for electricity, and all pumps in your facility use 240 VDC. What is the resistance of the copper wire supplying electricity to this pump?

Answers

Answer:

The resistance of the copper wire supplying electricity to this pump is 0.005 ohm

Step-by-step explanation:

Given

Per day cost of running centrifugal pump is $30

Charge of electricity is 9.7 cents per kilowatt hour

Total electricity power consumed

[tex]\frac{30}{0.097} \\309.278[/tex] kilowatt hour

Current flowing through the pump

[tex]= \frac{309.278}{240} \\= 1.288[/tex]A

Resistance of the pump

[tex]\frac{1.288}{240} \\0.005[/tex] ohm

The resistance of the copper wire supplying electricity to this pump is 0.005 ohm

Maya counts 55 passengers on the bus. There were only 50 passengers on the bus. What is Maya's percent error?

Answers

Answer:

I don't know.

Jerome bowling average ,j, is at or above the leagues average of 100. Witch inequality BEST represents?

Answers

J is more than or equal to 100
J>/= 100

A total of 756 tickets were sold they were either adult or student there were 56 more student tickets sold than adults. How many adult tickets were sold?

Answers

Make variables first
x = adult
x + 56 = students
You know there is a total of 756
x + x + 56 = 756
2x + 56 = 756
2x = 700, x = 350

Solution: 350 adult tickets

Sam is watching airplanes fly over his head at an airshow. The airplanes approach from the east at an altitude of 0.1 mile. Sam watches the airplanes approach and fly past. Measure angles from straight over Sam's head, with angles to the east being positive and angles to the west being negative. Find the horizontal position p of the planes from Sam as a function of the angle of Sam's view as the planes approach and fly over

Answers

Answer:

Is this multiple choice question?

David ordered 210 face masks. 50% of the masks are blue. A fifth of the total masks are white and the remainder are black masks. How many black masks

Answers

Answer:

63

Step-by-step explanation:

50 % of 210 = 105

one fifth of total = 42

black masks = (105+42=) - 210 = 63 ans.

The largest possible circle is cut out of a square whose side length is 12 feet. What will be the approximate area, in square feet, of the remaining board?

Answers

Answer:

30.96 ft²

Step-by-step explanation:

area of square = 12 x 12 = 144 ft²

area of circle = (3.14)(6²) = 113.04 ft²

144 - 113.04 = 30.96 ft²

There are 15 chocolate, 10 vanilla, and 25 straw-berry candies in a jar. What is the likelihood of someone randomly picking vanilla? Write your answer as a fraction AND decimal.

Answers

Answer:

10/50 or 1/5 : 0.2

Step-by-step explanation:

10 + 15 + 25 would equal to your total amount or 50since there are 10 vanilla, 10/50 or 1/5 would be your fraction10/50 or 1/5's decimal form is 0.2

How is it similar please explain why don’t just say it looks the same please

Answers

the triangle on the left is just an enlargement of the smaller triangle or you can say the smaller triangle is a reduction of the bigger one, but they share the same angle measures

Find x, y and p in the given figure​

Answers

Answer:

x=50

y=40

p=130

Step-by-step explanation:

A whole circle is 360 degrees, so 270+40+x = 360. x=50.

Y is the same angle as the 40 degrees above it.

P is the same as y+90, so it's 40+90 = 130.

the tallest building in houston in 1,002 feet tall the tallest building in dallas is 307 yards tall which of the following is true F. the dallas building is 27 yd taller than the houston building G. the houston building is 27 yd taller than the dallas building H. the dallas building is 695 ft taller than the houston building J. the houston building is 695 ft taller than the dallas building A. 200 x 80 cm x 1 km/ 1,000 cm B. 200 x 80 cm x 1 cm/ 100 C. 200 x 80 cm x 100cm/1 m x 1,000 m/ 1 km D. 200 x 80 cm x 1 m/ 100 cm x 1 km/ 1,000 m

Answers

Answer:

The tallest building in the city is the Bank of America Plaza, which rises 921 feet (281 m) in Downtown Dallas and was completed in 1985.

Step-by-step explanation:

Answer:

G. the houston building is 27 yd taller than the dallas building

Step-by-step explanation:

1,002 ft

= 334 yards (Houston)

307 yards (Dallas)

F. Incorrect because the Houston building is taller.

G. 334 - 307 = 27 (This is true)

695 ft is not equal to 27 therefore, H and J are not true.

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