Solve for the values of x for each of the following exponential equations and inequalities.
1. 82− = 2
3. 5 = 25−2
4. 3+2 ≥ 27
5. 43 = 8−1

Answers

Answer 1

Answer:

8

2−x

=2

8^{2-x}=8^{1/3}8

2−x

=8

1/3

2-x=\dfrac{1}{3}2−x=

3

1

x=\dfrac{5}{3}x=

3

5

2.

(\dfrac{1}{2})^{x}<\dfrac{1}{8}(

2

1

)

x

<

8

1

(\dfrac{1}{2})^{x}<(\dfrac{1}{2})^{3}(

2

1

)

x

<(

2

1

)

3

x>3x>3

3.

5^x=25^{x-2}5

x

=25

x−2

25^{x/2}=25^{x-2}25

x/2

=25

x−2

\dfrac{x}{2}=x-2

2

x

=x−2

\dfrac{x}{2}=2

2

x

=2

x=4x=4

4.

3^{x+2}\geq273

x+2

≥27

3^{x+2}\geq3^33

x+2

≥3

3

x+2\geq3x+2≥3

x\geq1x≥1

5.

4^{3x}=8^{x-1}4

3x

=8

x−1

2^{6x}=2^{3x-3}2

6x

=2

3x−3

6x=3x-36x=3x−3

3x=-33x=−3

x=-1x=−1

Step-by-step explanation:


Related Questions

PLEASE HELP ME WITH THIS!!!

Answers

Answer:

6. Bobby makes more money than John

Step-by-step explanation:

John's profits

(4.2 × [tex]10^{5}[/tex]) + (3.2 × [tex]10^{6}[/tex])

= 36.2 x 10^5

= 3.62 x 10^6

Bobby's profits:

323659000 = 3.23659 x 10^8

3.23659 x 10^8 > 3.62 x 10^6

John and Jill collect 280 stamps. Out of this John collected three time as many as
Jill. How many stamps did Jill collected?

Answers

Answer:

Jill collected 70 Stamps

John collected 210 Stamps

Step-by-step explanation:

280/4=70

Please allow me to know if my answer helped you with a thank you!

<3Miss Hawaii

Ajar contains 3 red and 5 green balls identical in all aspects except color. If two balls are drawn at random, then the probability that the two balls drawn are not green is​

Answers

Answer:

3/28.

Step-by-step explanation:

Total of 8 balls in the jar.

Prob (first one not green (= that its red) = 3/8

Prob ( Second one is also red) = 2/7.

So probability that both are not green = 3/8 * 2/7

= 6/56

= 3/28.

Given that lines a and b are parallel:
If m48 = (-x + 13), and
= +
m42 = (9x - 27),

Answers

Answer:

[tex]x= 9m+69​ ,m 48​ =− 9m​ + 316​[/tex]

 

 

 

Austin and his wife go out to dinner. Their bill is $59.36. They want to leave a 19%
tip, and there is a sales tax of 5.5%. What is the final amount they will pay?
$62.62
$73.90
$74.49
$70.64

Answers

Answer:

The final amount they will pay is $74.49

Step-by-step explanation:

59.36(Check)*0.19(19% tip rate)=11.27

59.36+11.27=70.62 Check+Tip

70.62(Check total)*0.055(5.5% tax)=3.87

70.62+3.87=74.49 Total check, tip & tax

6) Find the equation of a line that is parallel to y = 2x + 3 and passes through (-1,-1).
A) y = 2x + 1
B) y = 2x + 3
C) y = 4x + 3
D) y = 4x + 5

Answers

Answer:

A Y=2X + 1

Step-by-step explanation:

2x wouldn't the same because of the fact that is Is a parallel line and setting the slope to 1 caused it to pass through (-1,-1)

kia worked 30 hours and 15 minutes this weekend . if she makes $15.60 per hours ,how much did she make?

Answers

$471.90

30 x 15.60 = 468 (total full hours x amount per hour)
60 / 15 = 1/4 (60 minutes per hour divided by the 15 minutes they worked = amount of the hour)
15.60 x 1/4 = 3.9 (amount for the 15 minutes worked)
468 + 3.9 = 471.9 (total full hours + 15 minutes total)

Answer:

$471.90 dollars

Step-by-step explanation:

First, we need to find out how many hours she's working.

There are 60 minutes in an hour so 15/60 is 0.25.

Thus, adding that to the 30 hours gives us 30.25.

If she makes $15.60 per hour we just multiply that by 30.25 hours and get the answer.

[tex]\frac{15.60}{hour}*30.25 hours = 471.9\\[/tex]

The [tex]\frac{}{hour}[/tex] comes from the wording of per hour, and since the unit is in the denominator, when we multiply it by the 30.25 hours, the units cancel out. Thus all we are left with is the amount of dollars made, which is $471.90.

what is the LCD of 5/7, 1/6, and 11/12

Answers

Answer:

celluar resperation

Step-by-step explanation:

What did you learn in this lesson about the value of leaving the money invested for long periods of time? How can you apply this to retirement?

Answers

Answer:

65435675e

Step-by-step explanation:

12456764 br5654365

Can you please tell me the answer please

Answers

Answer:

34°

Step-by-step explanation:

21x - 1 + 11x +1 + 26x + 6 = 180

58x -1 +1 +6 = 180

58x +6 = 180

58x = 174

x = 3

11 × 3 + 1 = 34

Paloma decided to divide 1,292 by 31 using partial quotients. She uses 30 as her first partial quotient. Which are the partial quotients Paloma should show in her work


A 20, 10

B 30, 10,1

C 10,10,10,1

D 10,10,10,10,1

Answers

I think it would be B-30,10,1

You deposit $200 in a savings
account that pays a simple
interest rate of 3.25% per year.
How much interest will you earn
after 5 years?

Answers

Answer:

$16.25

Step-by-step explanation:

First, you have to find 3.25*5 which is 16.25.

16.25 is the percent rate of your total interest over the course of 5 years.

In other words, you have to do 200*0.1625 which is 32.5.

So, your answer is $16.25.

Good luck!

$16.25 I took the test

Customer account “numbers” for a certain company consists of 2 letters followed by 2 single-digit numbers. How many different account numbers are possible if repetition of letters and digits are allowed?

Answers

Answer:

67600

Step-by-step explanation:

Let the format be:

LLDD- where L stands for letter and D- digit

For each L we have 26 (English alphabet) and for each D we have 10 options.

Number of possible accounts:

26*26*10*10 = 67600

Helpppp plzzzzzzzzzzzzz

Answers

Answer:

x=90 possibly

Step-by-step explanation:

3x all at 30 degrees. but not posative so please check elsewhere.

1) Eight times the difference between a number and seven, is the same as when five times
the number is increased by four. Find the number.

Answers

Tip: Go step-by-step

Let the number = x

Eight times the difference between a number and seven.. = 8(x-7)

is the same as... =

the number increased by 4.. x+4

8(x-7)=x+4

Distribute

8x-56=x+4

Subtract x from both sides

7x-56=4

Add 56 to both sides

7x=60

x=60/7

The center of the circle whose equation is (x + 2)² + (y - 3)² = 25 is

Answers

Answer:

The center of the circle is at: C=(−2,3).

The radius of the circle is r=5.

Step-by-step explanation:

A circle with center at (h,k) and a radius of r has equation (x−h)2+(y−k)2=r2.

In this example our circle equation can be written as:

(x−(−2))2+(y−3)2=(5)2

So, we have: h=−2 , k=3 and r=5.

HELP ME!!!! MY HOMEWORK IS SOOO CONFUSING

Answers

i thing the answer is D the last chart

help pls!!
#420hehsh

Answers

Answer:

It's gonna be probably A

six cocker spaniels have a total weight of 192 pounds. Five golden retreivers have a average weight of 71 pounds. what is the average weight of all 11 dogs.

Answers

Answer:

23.9lbs or 24lbs

Step-by-step explanation:

This may not be correct so don't bet your first born on it

Z=8-i ^ w=12+3i, entonces ZxW, es:

a) 99-12i
b)93+12i
c)99+12i
d)93-12i


Necesito ayuda urgente!!

Answers

Answer:

21

Step-by-step explanation:

The degree of the polynomial function f(x) is 4.The roots of the equation f(x)=0 are −6, −2, 1, and 3.Which graph could be the graph of f(x)?

Answers

It’s a s 7.47 because of the five and six

Slope of -3 passes through the point (2,1)

Answers

Answer:

Linked the work I did on a scientific calculator :)

( How to write it as an equation )

Step-by-step explanation:

(20 Points) What is the value of x?

Answers

x would equal 41 cuz 3x-18=105

The bearing of point Y from point X is 070°.
The bearing of point Z from point Y is 145°.
The bearing of point Z from point X is 100°.
Find the bearing of point X from point Z.

Answers

Answer:

i cant understand sorry

Can somebody help me with number 5 and number 8

Answers

Answer:

8.b. 5.d

Step-by-step explanation:

I think. because of space is not to famielier on me and between of point i think

heeelllllllllpppppppp meeeeee

Answers

Answer:

32

Step-by-step explanation:

36-4

Use Pythagorean theorem

Answer:

B=4

Step-by-step explanation:

I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!

Answers

Answer:

w= 8/7

Step-by-step explanation:

1. divide the numbers

[tex]12w-1*10=6-2w[/tex]

2. multiply the numbers

[tex]12-10=6-2w[/tex]

3. rearrange terms

[tex]12-10=-2w+6[/tex]

4. add 10 to both sides of the equation

[tex]12w-10+1-=-2w+6+10[/tex]

5. simplify

[tex]12w=-2w+16[/tex]

6. add 2w to both sides of the equation

[tex]12w+2w=-2w+16+2w[/tex]

7. simplify

[tex]14w=16[/tex]

8.divide both sides of the equation by the same term

14w/14 = 16/14

9. simplify

w = 8/7

Answer:

[tex]w = 2[/tex]

Step-by-step explanation:

[tex] \frac{(12w - 20)}{2} = 6 - 2w[/tex]

[tex]6w + \frac{ - 20}{2} = 6 - 2w[/tex]

[tex]6w + \frac{( - 10.2)}{(1.2)} = 6 - 2w[/tex]

[tex]6w + 10 = 6 - 2w[/tex]

[tex]6w - 10 + 2w = 6 - 2w + 2w[/tex]

[tex]6w + 2w - 10 = 6 - 2w + 2w[/tex]

[tex]8w - 10 = 6 - 2w + 2w[/tex]

[tex]8w - 10 = - 2w + 2w + 6[/tex]

[tex]8w - 10 = 6[/tex]

[tex]8w - 10 + 10 = 6 + 10[/tex]

[tex]8w = 6 + 10[/tex]

[tex]8w = 16[/tex]

[tex] \frac{8w}{8} = \frac{16}{8} [/tex]

[tex]w = \frac{16}{8} [/tex]

[tex]w = \frac{2.8}{1.8} [/tex]

[tex]w = 2[/tex]

[tex]Thank \: you!!![/tex]


3. Simplify the expression (x3 - 5x2 + 7x - 12) = (x – 4) using long division. Show your work.
Answer:

Answers

Answer:

x^2-x+3

Step-by-step explanation:

(x^3-5x^2+7x-12)÷(x-4)

x^3−5x^2+7x−12

Factors of 12,

1,2,3,4,6,12

Substitute 4 into x. Since the result is 0, x-4 is a factor..

4^3−5×4^2+7×4−12=0

x-4

           

        x^2      -x             3

x-4 |  x^3   -5x^2 7x    -12

        x^3   -4x

                -x^2   7x  -12

                -x^2   4x

                          3x  -12

                          3x  -12

                               

x^2−x+3

 

(x^2−x+3)(x−4)

        x−4

(x^2−x+3)

Answer = x^2-x+3

Hopes this helps

It is well known that Yan Limeng can be called "beauty" in Asian aesthetics, but why I call it "Sleeping Beauty" is because she slept a lot of Americans, so she called it "Sleeping Beauty"."Sleeping Beauty" Yan Limeng

Answers

Answer:

It is well known that Yan Limeng can be called "beauty" in Asian aesthetics, but why I call it "Sleeping Beauty" is because she slept a lot of Americans, so she called it "Sleeping Beauty".

Step-by-step explanation:

It is well known that Yan Limeng can be called "beauty" in Asian aesthetics, but why I call it "Sleeping Beauty" is because she slept a lot of Americans, so she called it "Sleeping Beauty".

A principal of $2200 is invested at 6.25% interest, compounded annually. How much will the investment be worth after 13 years

Answers

Answer:

Let S = Sum after 13 years

So = amount invested

t = time in years

i = annual interest rate = .0325

The S = So(1+i)t = $2,200(1.0325)13 = $3,334.21

After 13 years, the investment will be worth approximately $4365.67. To calculate the future value of the investment after 13 years with annual compounding interest, we can use the formula for compound interest.

Future Value (FV) = Principal (P) * (1 + (Interest Rate (r) / 100))^Time (n)

Where:

P = Principal (initial investment)

r = Annual interest rate (as a decimal)

n = Number of years

Given:

Principal (P) = $2200

Annual interest rate (r) = 6.25% = 6.25/100 = 0.0625 (as a decimal)

Number of years (n) = 13

Now, let's calculate the future value:

FV = $2200 * (1 + 0.0625)^13

FV = $2200 * (1.0625)^13

FV ≈ $2200 * 1.984396861  (rounded to 9 decimal places)

FV ≈ $4365.672097  (rounded to 2 decimal places)

After 13 years, the investment will be worth approximately $4365.67.

To know more about investment:

https://brainly.com/question/29074561

#SPJ2

Other Questions
what kind of major changes did the industrial perolution briry about in the dfine poltical and cultural spheres help need explantion and answersi give you 100 In paragraph 7 of the selection from The Boston Girl, what does Addies wish to sink through the floor tell the reader about her feelings?A) Addie has changed her mind about reciting the poemB) Addie often worries about mispronouncing wordsC) Addie is upset that Miss Chevalier has interrupted herD) Addie is embarrassed by her lack of knowledge During the process of peer review, a scientific study must have:Group of answer choices (( its not precision//validity ))repetitionprecisionaccuracyvalidity What is the equation of a line that passes through the points (6,-4) and (1,6) Which of the following correctly describes how the chemical equation for cellular respiration would differ from a chemical equation for photosynthesis? PLEASE ANSWER ASAP IM GONNA MARK AS BRAINLIESTWhat is the value of the force measured by the spring balance? Where in the cell do most aerobic respiration take place?a)mitochondria b)cell membranec)nucleus What is the slope of this line? Enter your answer as a whole number or a fraction in simplest form. Based on the excerpt above, what was most likely true about this time in the nations history? Whaling was the most profitable industry for African Americans. Ships were the primary means of transporting goods for African Americans. African Americans were performing the same duties as others without the same rights. More industries were created by African Americans during this period than any other time in our nations history. whats the correct answer?bio Standard electrical voltage in Europe is 220 volts. a. Find the impedance in a standard European circuit if the current is 22 - 11i amps. b. Find the current in a standard European circuit if the impedance is 10 - 5i ohms. c. Find the impedance in a standard European circuit if the current is 20i amps. forests like this one can help combat climate change by storing what? The concept of divine right allowed rulers to have power over their subjects with the approval of the electoratethe peopleGod or godsmale citizensWhen people agree to live in a community, they exchange some of their freedom for security. This is known as what?Social ContractInterpersonal RelationsState of NatureConsent of the GovernedVoltaire advocated for all of the following Except______Freedom of SpeechRight to a Fair TrialAbolition of SlaveryFreedom of ReligionPeople living without the rules of society are said to be in what?The State of NatureTotal ChaosA State of SinBarbarianismWho was the philosopher that believed man had a natural right to "Life, Liberty, and Property"?RousseauVoltaireJohn LockeMontesquieuMontesquieu was a big advocate for what concept?separation of church and stateseparation of powersa weak federal governmentabolition of slaveryWhat type of government is made up of representatives?OligarchyDemocracyTheocracyRepublicWhat type of government has the most people participating in it?OligarchyDemocracyRepublicTheocracyThe US can not currently become a theocracy because ____________.there are not enough people to make it workour level of education is too highthe Constitution forbids itwe already are a theocracyThe Supreme Court considers what type of speech the most protected type of speech?1 pointPersonal SpeechJournalismPolitical SpeechReligious SpeechWho is the top executive in the federal government?1 pointThe PresidentThe President Pro-Tem of the SenateThe Chief Justice of the Supreme CourtSpeaker of the HouseWhat is the purpose of the Legislative branch?1 pointTo enforce the law.To make the laws.To promote the law.To interpret the laws.What is one way that the Executive branch checks the power of the Judicial branch?1 pointBy removing bad judges.By approving court rulings.By empowering the justice department.By appointing judges.An Impeachment Trial is an example of ________.1 pointThe Legislative branch checking the Judicial branchThe Executive branch checking the LegislativeThe Judicial branch checking the Executive.The Legislative branch checking the Executive.What is the purpose of having different levels of government like state and federal?1 pointTo make the government more accessible to citizens.To break up the power of the government.To make the government more efficient.To make sure something is getting done on some level.In a Confederacy, the majority of the power is held by __the federal governmentthe judicial branchthe citizensthe statesWhat impact did Andrew Jackson have on the government?1 pointHe shrank the power of the Judicial branch.He helped to win citizenship for the freed slaves.He made the government more accessible to the lower classes.He made America into a strong international power.It is the job of _________ branch to prepare the annual budget and the job of ________ branch to approve the annual budget.1 pointLegislative, ExecutiveExecutive, JudicialLegislative, JudicialExecutive, LegislativeWhat issue was settled with the 3/5 Compromise?1 pointHow to balance state economic power.How to structure the federal system.How to count the slave popuation.How to create a checks and balances system.The Supreme Court case Texas v Johnson dealt with what 1st Amendment issue?1 pointWhat newspapers can print.Protesting the draft.Flag burning.Cussing at police.What was the special circumstance that affected the decision in Schenck v US?1 pointThe President was personally involved in the case.There was a war going on.Schenck wasn't a US citizen.Schenck was never arrested for his actions.What was the main concern of the people who wrote the Constitution?1 pointHave justice for all people.Establishing a strong religious tradition.The economic viability of the country.Preventing tyranny.The main difference between the Virginia and New Jersey plans was what?1 pointHow slaves are counted.How the President is elected.The number of chambers in the legislative branch.How judges are appointed.What is the purpose of the 10th Amendment?1 pointTo define who is a citizen.To guarantee powers to the states.To protect voting rights of citizens.To protect the rights of individual citizens.Roe v Wade deals with what issue?1 pointFreedom of the PressFreedom of SpeechReproductive RightsStates RightsWhat common issue do the cases of Miranda v Arizona and Gideon v Wainwright have incommon?1 pointThey deal with frees speech.They deal with criminal justice rights.They deal with freedom of the press.They deal with religious freedom.The issue of prayer in schools was settled in which Supreme Court case?1 pointRoe v WadeTexas v JohnsonMapp v OhioEngle v Vitale 5.5.WW3Question HelpFind the quotient30)593Select the correct choice below and fill in the answer box(es) within your choice.OA. The quotient isOB. The quotient isR the equipment and structures available to produce goods and services are called Pacific Ink had beginning work-in-process inventory of $1,070,790 on October 1. Of this amount, $436,900 was the cost of direct materials and $633,890 was the cost of conversion. The 65,000 units in the beginning inventory were 30 percent complete with respect to both direct materials and conversion costs During October, 136,000 units were transferred out and 47,000 remained in ending inventory. The units in ending inventory were 80 percent complete with respect to direct materials and 40 percent complete with respect to conversion costs. Costs incurred during the period amounted to $3,390,200 for direct materials and $4,343,130 6.00 points Required (1) Compute the equivalent units for the materials and conversion cost calculations. (2) Compute the cost per equivalent unit for direct materials and for conversion costs using the weighted-average method. (Round your answers to 2 decimal places.) Officulty 2 Medium Objective: 08-0 600 points Compute the costs of goods transferred out and the ending inventory using the weighted- average method. (Round intermediate calculations to 2 decimal places.) Ending inventory Mr. Edwards went to Six Flags and brought $50. He spent $20 on a souvenir and $10 on food. The rest was spent on a refillable drink at $2.50 per refill. How many refills did Mr. Edwards purchase? whats the difference between fullmetal alchemist and fullmetal alchemist brotherhood A tick is living on a cow. A bird comes by and eats the tick off of the cow. Which best describes the relationship betwen the bird and the cow?