My Final Question! 50 points and Brainliest!
[tex]ln(x-24)+ln(x+100)=3 ln 5[/tex]

Answers

Answer 1

Answer:

lnx-24ln+lnx+100ln=3ln5

2lnx+76ln=3ln5

Answer 2
In(x-24)*(x+100)= In(5^3)

Multiply the parentheses

In(x^2+100x-24x-2400)= In(5^3)

Set the arguments equal

x^2-100x-24x-2400=5^3

Collect like terms, evaluate the power and move the constant to the left

x^2+76x-2525= 0

solve via quadratic equation

x= -76*square root of 76^2-4*2525 divided by 2*1

From that you get

-76+ or -126 divided by 2

The two solutions would be -101 or 25

but, the only answer would be 25 as -101 isn't in the defined range, and would make the statement negative



Related Questions

no trolls i need help asap please!!!

Answers

Answer:

These triangles cannot be proven congruent

Step-by-step explanation:

The 3 angles in ∆FGH are congruent to the 3 corresponding angles on ∆ABC.

These mean that the two triangles have the same shape and we can conclude that they are similar to each other.

However, knowing just the 3 angles is not enough to prove that both triangles are congruent to each other. This is because, for two triangles to be congruent to each other, all 3 angles and 3 sides of one triangle must be congruent to the corresponding 3 angles and 3 sides of the other. That is, they have the same shape and size.

Therefore, the triangles given above cannot be proven congruent.

What number makes the equation true? Enter the answer in the box. 4= 36 - N​

Answers

Answer:

as i see

the answer is 32.....

How many solutions does the system of equations below have?
x − 4y = 6
2x − 8y = 12

Answers

Answer:

One solution

Step-by-step explanation:

x - 4y = 6

-4y = 6 - x

-4y/-4 = 6/-4 -x/-4

y = -6/4 + -x/4

2x − 8y = 12

-8y = 12 - 2x

-8y/-8 = 12/-8 - 2x/-8

y = -12/8 + 2x/8

Graph "y = -6/4 + -x/4" and "y = -12/8 + 2x/8" to find how many solutions these lines have.

As shown below, it has only one solution.

The mean monthly gasoline bill for one household is greater than $120. If a hypothesis test is performed, how should you interpret a decision that reject the null hypothesis

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

In the equation for the given question, for enough evidence to substantiate the assertion:

[tex]\mu > \ \$ \ 120[/tex]

Mr. Wells tells his class of 24 that when they have completed the assignment, they may play online math games. At the end of class, 40% of the class is playing online math games. Approximately how many students still need to complete their assignment?

Answers

Answer:

14

Step-by-step explanation:

60% of 24 need to complete their tasks

this is 6x2.4=12+1.6=13.6 =14

micah was giving $200 for his birthday each week he spends 15$ on comic book. in how many weeks will his birthday money be gone? ​

Answers

Micahs money will be gone within about 13 weeks. He will, however, still have $5 left over.

Eduardo won 40 pieces of gum playing hoops at the county fair. At school he gave one to every student in his math class. He only has 13 remaining. How many did he give away?

Answers

He gave away 27 pieces of gun

2 doctors is ____% of 25 doctors what do I put in the blank and 9 stores is 3% of ____ stores ?

Answers

Answer 2 doctor is 8 percent of 25 doctors and 9 is 3% of stores is 300

Explanation: we set the is over of formula and solve for x then we get the answer have a nice day (:

Figure ABCD is a kite. Find the
value of x.

Answers

Answer:

x=5

Step-by-step explanation:

in order for this figure to truly be a kite, AD and AB have to be equal.

So:

4x=x+15

now we must solve the equation:

3x=15

x=5

The value of x for the expression of the sides will be x=5.

What is geometry?

Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.

Given that the sides of the given shape of the kites are AB = 4x and AD = x +15. Since the sides are equal the value of x will be calculated as,

In order for this figure to truly be a kite, AD and AB have to be equal.

4x=x+15

Now we must solve the equation:

3x=15

x=5

Hence, the value of x will be 5.

To know more about geometry follow

https://brainly.com/question/29208062

#SPJ2

need the answer please thank you!

Answers

Answer:

Step-by-step explanation:

The total number of marbles is 17

Red

6/17 is the answer. As a decimal, that's .3529

Green

11/17 is the answer. As a decimal that's .6471

Purple

Since there are no purples, the answer is 0

Red or Green

This one is a little tricky.

What else is there besides red or green? Nothing. You have to choose 1 or the other.

The answer is 1.

Today, everything at a store is on sale. The store offers a 30% discount. The sale price of a hat is $21.00. What
is the regular price?

Answers

Answer:

70

Step-by-step explanation:

Because 2100 divided by 30 is 70 I  hope this is the answer :)

b. A car factory makes 2 red cars for every
7 white cars. If it makes 483 white cars,
how many red cars did it make?




HELP ME

Answers

Divide the number of white cars made by it's ratio:

483/7 = 69

Multiply that by the ratio of red cars:

69 x 2 = 138

They made 138 red cars.

The answer is 138. Check the pic for more details. Hope it helps. Thanks

whats 4 x 1/8 in simplest form

Answers

Answer:

The simplest form of 48 is 12.

Step-by-step explanation:

hope that helps :)

The simplest form of the expression 4 x 1/8 will be 1 / 2.

What is an expression?

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Given that there are two numbers 4 and 1 / 8 multiplied by each other.

The solution of the expression 4 x 1/8 will be:-

E = 4 x ( 1 / 8 )

E = 4 / 8

E = 1 / 2

Therefore, the simplest form of the expression 4 x 1/8 will be 1 / 2.

To know more about an expression follow

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What is the following quotient?

Answers

Answer: Choice C) [tex]2-\sqrt{3}-2\sqrt{2}+\sqrt{6}\\\\\\[/tex]

====================================

Work Shown:

Part 1

[tex]\frac{2-\sqrt{8}}{4+\sqrt{12}}\\\\\\\frac{(2-\sqrt{8})(4-\sqrt{12})}{(4+\sqrt{12})(4-\sqrt{12})}\\\\\\\frac{2(4-\sqrt{12})-\sqrt{8}(4-\sqrt{12})}{(4)^2-(\sqrt{12})^2}\\\\\\\frac{8-2\sqrt{12}-4\sqrt{8}+\sqrt{8}*\sqrt{12}}{16-12}\\\\\\\frac{8-2\sqrt{12}-4\sqrt{8}+\sqrt{8*12}}{4}\\\\\\[/tex]

Part 2

[tex]\frac{8-2\sqrt{12}-4\sqrt{8}+\sqrt{96}}{4}\\\\\\\frac{8-2\sqrt{4*3}-4\sqrt{4*2}+\sqrt{16*6}}{4}\\\\\\\frac{8-2\sqrt{4}*\sqrt{3}-4\sqrt{4}*\sqrt{2}+\sqrt{16}*\sqrt{6}}{4}\\\\\\\frac{8-2*2*\sqrt{3}-4*2*\sqrt{2}+4*\sqrt{6}}{4}\\\\\\\frac{8-4*\sqrt{3}-8*\sqrt{2}+4*\sqrt{6}}{4}\\\\\\[/tex]

Part 3

[tex]\frac{8-4*\sqrt{3}-8*\sqrt{2}+4*\sqrt{6}}{4}\\\\\\\frac{4*2-4*1*\sqrt{3}-4*2*\sqrt{2}+4*\sqrt{6}}{4}\\\\\\\frac{4(2-\sqrt{3}-2\sqrt{2}+\sqrt{6})}{4}\\\\\\2-\sqrt{3}-2\sqrt{2}+\sqrt{6}\\\\\\[/tex]

This shows the answer is choice C.

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

Explanation:

There are a lot of steps, so I broke things up into 3 sections or parts. The idea I'm applying is if the denominator is of the form [tex]a+\sqrt{b}[/tex], then multiplying top and bottom by [tex]a-\sqrt{b}[/tex] will rationalize the denominator. This is due to the difference of squares rule (step 3 of part 1). The following step shows squaring a square root has the two cancel out.

From that point, I simplified each square root and factored to cancel out a pair of '4's.

To expand out [tex](2-\sqrt{8})(4-\sqrt{12})[/tex], we can use either the FOIL method, the box method, or the distribution property. I used the distribution property.

please help with this question i have 1 hour to finish this test

Answers

Answer:

29

Step-by-step explanation:

2x - 14 = x + 15

2x - x = 15 + 14

x = 29

check

44 = 44

Answer:

pretty sure it's 29

Step-by-step explanation:

equation: 2x-14=x+15

how to solve: add 14 to both side, and subtract x from both sides. The equation will then be x=29.

I might be wrong tho.

Q14)
Points A, B and C lie on the circumference of a circle and DE is the
tangent to the circle at A. Angle DAB = 79º and angle EAC = 37º.
2
Find the sizes of angles x and y.
Not to scale
Give a reason for your answers.
B
7
[Total 3
790
1370
E
A

Answers

Answer:

x = 37

y = 79

Step-by-step explanation:

Remark

We are going to go through an extensive discussion of the value of x. The value for y is found exactly the same way.

Top diagram.

The top diagram establishes the fact that if any two points are on the major arc of the circle whose center is 0, then the vertex of the of the two angles so formed are equal. The end points of these two angles must be established by the endpoints of the chord A and B.

Put in much simpler language.

<ACB = <AC'B

The end points of the angles are A and B of the Chord AB.

The Vertex of the angles are both on the major arc of the circle. These two are C and C'

Bottom Diagram

The idea here is to find the value of C. If we do that, then we know what x is in the diagram you provided.

Draw diameter COA       Construction

< CAB = 90                      Any vertex (C) on circumference with diameter endpoints (A & C) = 90

<CAT_1 = 90                   A diameter always meets a tangent at 90o

<BAT_1 = 37                   Given

<CAB = 90-37                  <CAB and <BAT_1 are complementary

<ACB = 37                       A right triangle's acute angles are complementary.

<ACB = x = 37o              See top diagram

A _____ equation is an equation whose graph is a straight line. answer for me please! worth 15 points!!!

Answers

Answer:

Linear function

Step-by-step explanation:

Which pair of functions are inverses of each other?  A. f(x) = \sqrt[3]{{6x}}f(x)= 3 6x​ and g(x) = {\left( {\frac{x}{6}} \right)^3}g(x)=( 6 x​ ) 3  B. f(x) = 10x – 5 and g(x) = \frac{{x + 5}}{{10}}g(x)= 10 x+5​ C. f(x) = \frac{4}{x} - 3f(x)= x 4​ −3 and g(x) = \frac{{x + 3}}{4}g(x)= 4 x+3​ D. f(x) = \frac{x}{8} + 3f(x)= 8 x​ +3 and g(x) = 8x – 3​

Answers

Answer:

the answer is B

Step-by-step explanation:

PLEASE HELP, I WILL GIVE BRAINLIEST IF ITS RIGHT :)
(03.03 MC)
The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
−1 −3
0 0
1 3
g(x)

g(x) = 7x + 2


Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

(10 points)


2.
(03.05 HC)
The table below represents the distance of a train from its destination as a function of time:

Time
(hours)
x Distance
(miles)
y
0 665
1 570
2 475
3 380
4 285


Part A: What is the y-intercept of the function, and what does this tell you about the train? (4 points)

Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours, and tell what the average rate represents. (4 points)

Part C: What would be the domain of the function if the train continued to travel at this rate until it reached its destination? (2 points)

(10 points)


3.
(03.06 MC)
Part A: Billy rented a canoe at $14 for 2 hours. If he rents the same canoe for 5 hours, he has to pay a total rent of $29.

Write an equation in the standard form to represent the total rent (y) that Billy has to pay for renting the canoe for x hours. (4 points)

Part B: Write the equation obtained in Part A using function notation. (2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

(10 points)

Answers

9514 1404 393

Answer:

(a) Function f is a proportion, so its slope is y/x = 3. The slope of function g is the x-coefficient, 7. The slope of function g is greater. (b) A proportion has a y-intercept of 0; function g has a y-intercept of 2. The y-intercept of function g is greater.(a) The y-intercept is 665, the initial distance to destination. (b) The train's distance to destination is decreasing at 95 miles per hour. (c) The useful domain of the relation is 0 ≤ x ≤ 7.(a) Standard form equation: 5x -y = -4. (We expect that "slope-intercept" form is desired: y=5x+4.) (b) f(x) = 5x +4. (c) The line can be graphed by starting at the y-intercept (0, 4) and drawing a line with slope 5. Axes will be labeled "Rental Time (hours)" (horizontal) and "Rental Cost (dollars)" (vertical). Axes can be numbered in units appropriate to the size of the graph.

Step-by-step explanation:

1. (a) The table contains the point (0, 0), and is said to represent a linear function. Consequently, we know that function f is a proportion. Its slope is ...

  y/x = 3/1 = 3.

The slope of function g is the x-coefficient, 7. Since 7 > 3, the slope of function g is greater.

(b) As we said, function f has a y-intercept of 0. The y-intercept of function g is the constant in its equation, 2. Since 2 > 0, the y-intercept of function g is greater.

__

2. (a) The y-intercept is the value when x=0, which is 665. That is the train's initial distance to destination.

(b) The average rate of change from x = 1 to x = 4 is ...

  m = (285 -570)/(4 -1) = -285/3 = -95 . . . . miles per hour

The train's distance to destination is decreasing at 95 miles per hour.

(c) From part B, we know the train covers 285 miles in 3 hours, so the time to destination will be 3 hours more than 4 hours. (Distance is 285 miles at 4 hours.) The useful domain of the relation is 0 ≤ x ≤ 7.

__

3. We can write the standard form equation using the relation ...

  (y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0

  (29 -14)(x -2) -(5 -2)(y -14) = 0 . . . . . fill in the given points: (2, 14), (5, 29)

  15x -30 -3y +42 = 0 . . . . simpify

  5x -y = -4 . . . . . divide by 3 and subtract 4

(We wonder if "slope-intercept" form is desired: y=5x+4.)

(b) The above equation can be solved for y (by adding y+4), and "y" replaced by "f(x)". The result is the "functional form" ...

  f(x) = 5x +4

(c) The line can be graphed by starting at the y-intercept (0, 4) and drawing a line with slope 5.

Axes will be labeled "Rental Time (hours)" (horizontal) and "Rental Cost (dollars)" (vertical).

Axes can be numbered in units appropriate to the size of the graph. (That will depend on the graph paper or tool used to create the graph.) An example of a graph is attached.

Helppppppppppppppppppppppppppppppp​

Answers

Answer:

Number.2 is correct you can write it

Which ratio is equivalent to the ratio 13:15

Answers

Answer:

26:30

Step-by-step explanation:

If 4 quarts of organic grapes cost $20 how many quarts can you purchase for one dollar

Answers

Answer:

4/5 of a quart

Step-by-step explanation:

Set this up as a proportion. First of all we know that 4 quarts of organic grapes cost $20, so 4x = 20. Divide and you get that x = 5 meaning 1 quart equals 5 dollars. Now if we scale this down a bit and divide by 5, we end up with 4/5 of a quart = 1$.

Hope this helped (:

For a summer reading program, you are asked to read 3 books from a list of 8 book. how many different groups of 3 books can you read?​

Answers

Answer-
You can read 2 groups of three books.

Step-by-step expression-
3 times 3 is 9. Since 9 is bigger than 8, you multiply 3 by 2. 3 times 2 is 6. Therefore, you can only read 2 groups of 3 books. Happy studying :))

A brainliest will be rewarded to the best answer!
Which expression has a value of 11?
A. 13 - 5 - 3
B. 1 + (8 x 2)
C. 5 + 2 x (4 - 1)
D. 15 - 1 + (6 ÷ 2)

Answers

Answer:

C. 5 + 2 x (4 - 1)

Step-by-step explanation:

5 + 2 x (4 - 1)

*following order of operations*

5 + 2 * 3

5 + 6

= 11

Alecia earned 48 points on the first quiz and 45 points on the second quiz. What's the percent decrease in her quiz score ?

Answers

Answer:

is the 48 and 45 points out of 100?

Answer:

93%is the answer to this question its 93% percent (tell me if its wrong)

Your boss calls you and explains that your first visit is to the Barclays Center Stadium. Your boss says the Barclay center is approximately 670,760 square feet, she wants to create a rectangular shaped figure.
- The length of the Barclays Center is 819 feet and the width is 818 feet. However, you are going to use a scale of 1 inch = 100.50 feet. Find the area of the scale drawing.

Answers

Answer:

66.341 Feet

Step-by-step explanation:

length 819

width 818

(Length x width)

divide both by 100.5

819/100.5

818/100.5

8.14925373134

8.13930348259

round

8.15

8.14

length times width

8.15*8.14

66.341

9-x^2 factorize the expression​

Answers

Answer:

Step-by-step explanation:

(3-x)(3+x)

x^2-a^2 = (x-a)(x+a)

please helloppppppppp​

Answers

90°+32°=X ( exterior < of a ∆)

90°+32°=X ( exterior < of a ∆) 122°=X

90°+32°=X ( exterior < of a ∆) 122°=XTherefore, X= 122°

Higher Order Thinking Raul wants to put wood shavings in his rabbit’s cage. The floor of the cage measures 1 yard wide by 5 feet long. One bag of shavings covers 10 square feet.

How many bags will Raul have to buy to cover the floor of the cage? Explain

Answers

Answer:

2

Step-by-step explanation:

3x5=15

Select all the expressions which are equivalent to three times the sum of six and five.
A. 3 × 6 + 5
B. 3(6 + 5)
C. 3 × 5 + 6
D. (6 + 5) + (6 + 5) + (6 + 5)
E. 3 + (5 × 6)

Answers

Answer:

Step-by-step explanation:

T

Answer:

D. (6+5)+(6+5)+6+5)

Step-by-step explanation:

i am. sure that D. is answer because it is repited three. times

Other Questions
A clock which has brass pendulum beats correctly at 30C will it run faster or slower if temperature increase or decrease What is the full form of SNWIP look at the photo answer the question on separate paper make sure you are correct WHOEVER ANSWERS FIRST CORRECTLY GETS BRAINIEST AND GETS 30 POINTS!! Read each of the excerpts from The Awakening.[Robert] never assumed this series-comic tone when alone with Mrs. Pontellier. She never knew precisely what to make of it; at that moment it was impossible for her to guess how much of it was jest and what proportion was earnest. It was understood that he had often spoken words of love to Madame Ratignolle, without any thought of being take seriously.***During his oblivious attention [Robert] once quietly rested his head against Mrs. Pontelliers arm. As gently she repulsed him. Once again he repeated the offense. She could not but believe it to be thoughtlessness on his part; yet that was no reason she should submit to it. He offered no apology.Which best explains why the author included both of these scenes in the story?A. to develop background information about the ways in which men and women were expected to interact during the time periodB. to develop a contrast between the way in which Mrs. Pontellier interacts with Madame Ratignolle and the way she acts with RobertC. to develop background information about the longstanding friendship between Robert, Mrs. Ratignolle, and Mrs. PontellierD. to develop a contrast between the way in which Robert interacts with Madame Ratignolle and the way he interacts with Mrs. Pontellier Why does Mr. Oakhurst tru to push the group to continue toward sandy bar helpppppppppppppppppp Who was James G. Blaine, was he robbed of the presidency in those conventions? cx = -105 m and cy = -88.2 mfind the magnitude and direction of the vector. A 0.125 kg hockey puck moving at 20.0 m/s is caught and held by an 85.0 kg goalkeeper at rest. After catching the puck, with what velocity does the goalkeeper slide across the ice? A. 0.0351 m/s B. 0.0294 m/s C. 0.0320 m/s D. 0.0263 m/s translate the sentence into an equation Eight times the sum of a number and 6 is 9. use the variable w for the unknown number A train traveled at a speed of 60 miles per hour for 5 hours. How far did the train travel?O 12 milesO 30 milesO 120 milesO 300 miles HELP NEEDED ASAP ............ Please get me the right answer otherwise i am gonna get 76 instead of 80 ! Giving 20 points How John Trumbull was died? Repeated execution of a set of programming statements is called repetitive execution.a. Trueb. False write any two rules of hockey Uma piscina possui 5 m de comprimento, 3 m de largura e 2,5 m de profundidade. Calcule: a) A quantidade de azulejo necessria para forrar a piscina b) A quantidade de gua que cabe nessa piscina. c) seu volume em m3 PLEASE HELP ASAP, WILL MARK BRAINLIEST!!!Select all the correct answers.The table shows the balance of Steven's savings account over time. Assuming there are no withdrawals, if you graph the relationship for Steven's monthly balances, which points will lie on the resulting line?A (22, 8,400)B (23, 9,200)C (24, 8,800)D (26, 10,400)E (27, 10,600) A police car is moving to the left at 34m/sec while its siren is emitting a 600Hz tone. What tone would you hear if you were parked along side the road 1. My friend Kim and I ( have, has) a weather station. 2. Kim (have, has) it set up in her yard. 3. It ( have, has) a thermometer and wind vane. 4. Last week, we (have, had) the thermometer at school. 5. Yesterday, the thermometer (have, had) a temperature of 90^ ! 6. I ( has, have) never seen it that high! 7. We (have , has) records of the weather. The records (have, has) temperatures from last winter. which are potential sources of error in the experiment? Steam Workshop Downloader