Determine the value of x so that the numbers a1 = In(x + 2). a2 = In(x + 3).
a3 = In(4x + 8) form three consecutive members of an arithmetic sequence.
Select one:
a. Such x does not exist.
b. x = -+1
c. There are two possible solutions.
d. x = -1
e. None of the remaining possibilities is correct.

Answers

Answer 1

Answer:

Step-by-step explanation:

hello :

the numbers a1 , a2 ,a3

form three consecutive members of an arithmetic sequence means : 2a2 = a1+,a3

2 In(x + 3) = In(x + 2)+In(4x + 8)....(*)

now solve this equation use this note :

ln a^n = alna and : lna+lnb =lnab lna =lnb means : a=b ...a , b positif numbers

(*) equivaut : In(x + 3)² = In(x + 2)(4x + 8) and : x + 2 ,x + 3 , 4x + 8

are positifs numbers

(x + 3)² = (x + 2)(4x + 8)

x²+6x+9 = 4x²+16x+16

3x²+10x+7 =0

delta =10²-4(3)(7) 100 -84 = 4²

x1 = (-10-4)/6 = -7/3 reused

x 2 = (-10+4)/6 = -1 reused

conclusion : a. Such x does not exist.


Related Questions

A competitive cliff diver jumps into
water 81 feet below. The distance d that the diver falls
in t seconds is given by the equation d = 16t^2. How
long does it take the diver to hit the water?

Answers

Answer:

2.25 seconds

Step-by-step explanation

[tex]d=16t^{2}[/tex]

[tex]d=81 feet\\t=?[/tex]

Because you know what distance equals you can plug it into the equation

[tex]81=16t^{2}[/tex]

From there you can solve by dividing the 16 over and then square rooting.

[tex]\frac{81}{16}=t^{2}[/tex]

[tex]5.0625=t^{2}[/tex]

You take the square-root to get rid of [tex]t^{2}[/tex]

[tex]\sqrt{5.0625} =\sqrt{t}^{2}[/tex]

[tex]t=2.25[/tex]

Solve for x. Round all answers to the nearest tenth.
9
X
12

Answers

Answer:

I hope im right so so sorry if im not

Step-by-step explanation:

first find area

1/2 bh

1/2 of base times height

bh=(9)(12)=108

if there is a right angle then that is 90°

so do 108° -90° which is 18°

So your answer is 18°

The solution is, the value of x = 36.87.

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

here, we have,

from the given figure,

we get,

height = 9

base = 12

by, using the trigonometric relations,

we get,

tan x = 9/12

or, tan x = 0.75

or, x = 36.87

Hence, The solution is, the value of x = 36.87.

To learn more about trigonometric relations click :

brainly.com/question/14450671

#SPJ5

Find the measure of angle B.​

Answers

Step-by-step explanation:

C = 180 - 112 = 68°

A = 180 - 68 - 51 = 61°

B = 180 - 61 = 119°

Another way :

We know that B = C + 51 ==> B = 68 + 51 = 119°

When eleven is reduced by one-third of a​ number, the result is 5
. Find the number.

Answers

Answer:

18

Step-by-step explanation:

11 - 1/3x = 5

Subtract 11 from both sides

-1/3x = -6

Multiply both sides by -3

x = 18

Use the distributive property to write an expression that is equivalent to 9(c+5

Answers

Answer:

9c+45

Step-by-step explanation:

Which of the following is the logical conclusion to the conditional statements
below?
a = b
b=0
А. b=a
B. -as
C.boa
D. a =

Answers

Answer:

b

Step-by-step explanation:

a set of speakers that regularly cost $160 are on clearance for 35% off. Find the sales price of the speakers

Answers

Answer:

I'm pretty sure this is the answer....

The speakers are $56.

Sorry if i'm wrong. :')

Step-by-step explanation:

Answer:

You want to buy something that costs $160, and it's on sale for 35% off. What is the item's sale price?

First, convert the 35% to a real mathematical number. For percents, this is always done by dividing the 35% by 100%, or 35% / 100% = 0.350.

Second, find out what 35% of $160 is. This is the amount of the sale discount. This is always found by mulitplying 0.350 by the item's cost $160, like this:

0.350 x $160 = $56.00.

So for this sale, you'll save $56.00 on this item.

This means, the cost of the item to you is

$160 - $56.00 = $104.00.

Alternatively, you can think about it this way. The item is 35% off. This means you'll pay 65.000% of the total cost (100% - 35% = 65.000%).

Now what's 65.000% of the total cost?

0.650 x $160 = $104.00.

Just like the result above, the sale price on the item is $104.00

30 + q = 43 show work PLEASEE HELP

Answers

Answer:

13

Step-by-step explanation:

43 - 30 = 13

q = 13

Answer:

q=13

Step-by-step explanation:

first, subtract 30 from both sides of the equation

30-30+q=43-30

you should be left with q=13

that's your answer

I'll add a photo of the problem! ​

Answers

Answer:

its d

Step-by-step explanation:

the number 30 is not listed in the problem there that is info that is not there

Which of the following statements is true about the number [tex]\frac{30}{2}[/tex]?

- It is contained in the set of rational numbers, but it is not contained in the set of natural numbers, whole numbers, integers, or irrational numbers.
- It is contained in the set of irrational numbers and rational numbers, but it is not contained in the set of natural numbers or whole numbers.
- It is contained in the set of natural numbers, whole numbers, integers , and rational numbers, but it is not contained in the set of irrational numbers.
- It is contained in the set of whole numbers and rational numbers, but it is not contained in the set of irrational numbers or integers.

Answers

9514 1404 393

Answer:

  (c)  - It is contained in the set of natural numbers, whole numbers, integers, and rational numbers, but it is not contained in the set of irrational numbers.

Step-by-step explanation:

The improper fraction (a rational number) reduces to 15, a whole number, natural number, and integer. A ratio of integers is never an irrational number.

The best description is the third one:

- It is contained in the set of natural numbers, whole numbers, integers, and rational numbers, but it is not contained in the set of irrational numbers.

How many times can 60 go in 119

Answers

Answer:

answer is 1

Step-by-step explanation:

bcs 119 ÷ 60 is 1 remainder is 59 1.59 :)))

3186 people contributed to charity. this was an increase of 486 people over last year. Express the increase as a percentage.

Answers

Answer:

18%

Step-by-step explanation:

Given data

People that contributed the last year= 3186-486

=2700people

Hence the percentage change

=486/2700*100

=0.18*100

=18%

Hence the change in the number of people that contributed is 18%

Maria randomly selects a number from the list of numbers below.

56, 90, 88, 76, 12

What is the probability that she selects an even number?

Answers

Answer:

1:1 or 100% i don't know which you need

Step-by-step explanation:

henry is 70 inches tall Aaron is 6feey 2inches tall how much taller is Aaron than Henry

Answers

Answer:

4 inches taller

Step-by-step explanation:

aaron is 74 inches

find the volume of the cone. make sure to round

Answers

Answer: 333.29

V= ⅓Bh is how you would do it

solve the equestion 2x³+3x²_3x=2

Answers

Answer:

2

Step-by-step explanation:

For Example, To complete the square when a is greater than 1 or less than 1 but not equal to 0, factor out the value of a from all other terms.

For example, find the solution by completing the square for:

2x2−12x+7=0

a≠1,a=2 so divide through by 2

22x2−122x+72=02

which gives us

x2−6x+72=0

Your answer is x2-6x+72=0

25. Which two conversions are correct?
A. 7 mm = 70 cm
B. 7 cm = 0.07 m
C. 7,000 m = 7 km
D. 0.7 cm = 70 mm
E. 7 m = 7,000 km

Answers

Answer:

The answer is B and C

Step-by-step explanation:

1 Meter is equal to 0.001 Kilometer

1 Centimeter is equal to 0.01 Meters

The unit conversions which has the true measurements are

a) 7 cm = 0.07 m

b) 7,000 m = 7 km

What is unit conversion?

In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.

The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.

A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.

Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.

Given data ,

Let the unit conversion be represented as A

Let the first measurement be p

where the value of p is

p = 7 cm

From the unit conversion , 1 m = 100 cm

So , 7 cm = 0.07 m

And , let the second measurement be q = 7,000 m

From the unit conversion , 1 km = 1,000 m

7,000 m = 7 km

Hence , the unit conversions are solved

To learn more about unit conversion click :

https://brainly.com/question/19420601

#SPJ2

Ex: You invested $1000 in a savings account. The account pays 5% annual interest.
How much will be in the account after 6 years?||
1

Answers

Answer:

I KNOW THE ANSWER ITS  5000

Step-by-step explanation:

SUB to sir sir bmgo

Jayden is filling his 290 gallon pool with a garden hose. The garden hose produces 29 gallons of water per hour. How long will it take for Jayden to fill up his pool?

Answers

Answer:

10 hours

Step-by-step explanation:

290 divided by 29 = 10

check to see if its correct 29 multiple by 10 is 290

Draw a histogram for the intervals 16-18, 19-21, 22-24, and 25-27 using the following data: 26, 16, 22, 27, 20, 24, 21, 27, 22, 21, 26, 27, 23, 20, 16, 17, 27, 19, 17, 17

Answers

Answer:

Step-by-step explanation:

Class Interval             Variate         Frequency

16-18                              16                     1

19-21                               0                     0

22-24                               0                    0

25-27                              26,27              2

Answer:

A

Step-by-step explanation:

right on edge 2021

According to the U.S. Census Bureau, 11% of children in the United States lived with at least one grandparent in 2009 (USA TODAY, June 30, 2011). Suppose that in a recent sample of 1550 children, 214 were found to be living with at least one grandparent. At a 2% significance level, can you conclude that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

Answers

Answer:

The pvalue of the test is 0.0001 < 0.02, which means that we reject the null hypothesis and accept the alternate hypohteis that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%.

Step-by-step explanation:

Proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

This means that the null hypothesis is:

[tex]H_0: p = 0.11[/tex]

And the alternate hypothesis is:

[tex]H_a: p > 0.11[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.11 is tested at the null hypothesis:

This means that [tex]\mu = 0.11, \sigma = \sqrt{0.11*0.89}[/tex]

Suppose that in a recent sample of 1550 children, 214 were found to be living with at least one grandparent.

This means that:

[tex]n = 1550, X = \frac{214}{1550} = 0.1381[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.1381 - 0.11}{\frac{\sqrt{0.11*0.89}}{\sqrt{1550}}}[/tex]

[tex]z = 3.54[/tex]

Pvalue of the test and decision:

This is the probability of finding a sample proportion above 0.1381, which is 1 subtracted by the pvalue of Z = 3.54.

[tex]z = 3.54[/tex] has a pvalue of 0.9999

1 - 0.9999 = 0.0001

The pvalue of the test is 0.0001 < 0.02, which means that we reject the null hypothesis and accept the alternate hypohteis that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%.

Ajar contains 5 red marbles, 3 green marbles, and 4 blue marbles. A marble is selected without looking. What is the probability that the selected marble is red?​

Answers

Step-by-step explanation:

most likley

Need HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

9514 1404 393

Answer:

  x = 6

Step-by-step explanation:

The similarity statement tells you ...

  TR/TP = XZ/XP

  TR = x = TP(XZ/XP) = 12(18/36)

  x = 6

A vehicle purchased for $29,800 depreciates at a constant rate of 4%. Determine the approximate value of
the vehicle 10 years after purchase. Round to the nearest whole dollar.

Answers

Answer:

$44104

Step-by-step explanation:

Given data

Cost = $29800

Rate= 4%

Time= 10years

Applying the formula below, we can find the cost after 10 years as

A=P(1+r)^t

A= 29800(1+0.04)^10

A=29800(1.04)^10

A=29800*1.480

A=$44104

Hence the new cost is $44104

Is this correct?? So, basically, it asking for a decimal equivalent to 920.35

Answers

Yes it is correct
:)

1) A line passes through the points (7,4) and (-5, - 2). Which of the
following equations BEST defines this line?

Answers

Answer:

.5x = y

Step-by-step explanation:

You can find mx by comparing two points on a graph

Someone please help

Answers

Answer:

m= -1

Step-by-step explanation:

Which number does the blue dot represent on the number line?

Answers

it represents C -12
The blue dot represents -12, the line is going forward 3 points and back 3. So each point is worth 3 points. Moving back 4 points equals -12.

What is the volume of the following figure? (Round your answer to the
nearest tenth and leave it in terms of pi.)
Width= 18 m length=10 m
A 180mm
B. 3240mm
C. 810 m
D. 8171 m

Answers

The answer is C for this question


Which equation shows the
commutative property of addition?
A 2x = 2x
B 2x + 3 = 3 + 2x
C 2x - 3 = 2(x - 3)
D 2(x + 3) = 2x + 6

Answers

Answer:

B

Step-by-step explanation:

Have a nice day!

The answer is B since you can add in any order with those numbers
Other Questions
Find the surface area of the cylinder. ROUND YOUR ANSWER TO THE NEAREST TENTH. PLEASE I NEED HELP also if anyone can I need the steps:( Imagine a population of moths. White moths are easier for birds to see and eat. Black moths blend into their surroundings, so they are less visible to birds than white moths. As a result, black moths are more likely to survive and reproduce, enabling the gene for black coloration to be passed on to the next generation. This increases the frequency of genes for black coloration in the population. Which evolutionary process does this scenario describe I need help with number 17 pls someone pls ??? Find the volume of the cylinder. el numero que exede a n en 18 Meljer is selling a 9.25 oz bag of Doritos for $3.50. What is the cost per ounce of Doritos? Round your answer to the nearest penny (hundredths of a dollar). another one, surprise, surprise- 14 points :) Which of the following treatment options do NOT apply to people suffering from sickle cell anemia?Vitamin supplementBlood transfusions take penicillin breathing treats that add moisture and medicine to the lungs Imagine that the value of the US dollar remains high compared to the Japanese yen for many months. What effect will this most likely have on the amount of goods the US imports from Japan?A.The US will import more from Japan.B.The US will import slightly less from Japan.C.The US will buy more from other countries.D.The value of the dollar does not affect how much the US imports.NO LINKS OR YOU WILL BE REPORTED!!! Which wave has the higher frequency A or B? 4. Write word equations of Magnesium burns in chlorine to form Magnesium Chloride 1/2y=13Solve for y. You and your lab partner are asked to determine the density of an aluminum bar. The mass is known accurately (to four significant figures). You use a simple metric ruler to measure its dimensions and obtain the results for Method A. Your partner uses a precision micrometer and obtains the results for Method B.Method A (g/cm3) 2.7 Method B (g/cm3) 2.703 2.701 2.705 5.811The accepted density of aluminum is 2.702 g/cm 3 .(a) Calculate the average density for each method.Should all the experimental results be included in your calculations? If not, justify any omissions.(b) Calculate the percent error for each methods average value.(c) Calculate the standard deviation for each set of data.(d) Which methods average value is more precise? Which method is more accurate? what is the slope of the following equation y = -1/2x + 4 please help i am giving brainliest Choose the correct answer to each question and circle the corresponding letter.11. Asististe al concierto?a. S, asististe.b. S, asist.c. S, asistimos.12. Comieron ustedes mucho?a. S, comimos mucho.b. S, comieron mucho.c. S, comi mucho.13. A qu hora volvi Jos?a. Volvi a las ocho.b. Volviste a las ocho.c. Volvieron a las ocho.14. Qu le dieron a Anita sus amigos?a. Anita le dio muchos regalos.b. Le dimos muchos regalos.c. Le dieron muchos regalos.no dam links If you put a link i will hack your brainliy account The giant outlier is Palm Beach county. We can see that it lies well beyond the range of votes this regression model would predict for Buchanan, based on the observed linear trend between total votes and votes for Buchanan across all the other counties. Calculate the residual for Palm Beach county to determine just how much larger Buchanan's vote total was compared to what we'd predict based on the election results from the other counties. If a collection of people share some characteristics, interact with each other, and have some feelings of unity, they make up a(n) If you do FLVS, are in the 7th grade and have completed Lesson 6 of Module 6 please help me!If you did the question, "Should teens be allowed to play dangerous sports?' and said yes, please give me your ideas for a starting sentence for my intro paragraph REMEMBER IT HAS TO BE A STRONG STARTER!!!! In AXYZ, ZX=13 and XY=63. ZXWZ=90 and XY=690. Find the length of XW tothe nearest 10th. Renaissance humanists in Italy Group of answer choices restricted their attention to scholasticism and the medieval liberal arts curriculum. focused on scientific rather than literary pursuits. rejected the writings of Greek and Roman authors in favor of Byzantine scholarship. had occupations in schools and universities or as secretaries in city-states or at the courts of princes or popes. tended to be members of the clergy rather than laymen.