Evaluate :
A. [tex]x^{x^3}=3[/tex]
B. [tex]4^x +6^x =9^x[/tex]

Answers

Answer 1

Answer:

A. [tex]x^{x^3} = 3[/tex]log [tex]x^{x^3}[/tex] = log 3x³ log x = log 33x³ log x = 3 log 3x³ log x³ = log 3³[tex]x^3^{x^3}[/tex] = 3³x³ = 3x = [tex]3^{1/3}[/tex]B.4ˣ + 6ˣ = 9ˣ2²ˣ + 2ˣ3ˣ = 3²ˣ

Divide both sides by 2²ˣ

1 + (3/2)ˣ = (3/2)²ˣ

Substitute (3/2)ˣ = t

t² - t - 1 = 0

Solve for t:

t = (1  ± √5)/2

Positive root is considered as (3/2)ˣ can't be negative.

(3/2)ˣ = (1 + √5)/2x = log [(1 + √5)/2] / log (3/2)x = 1.18681439028


Related Questions

Simplify 14^15/ 14^5
A 1^3
B 1^10
C 14^3
D 14^10

Answers

D is the correct answer
Hope this help

What is at least 2 metaphors in this passage?

Until this day, how well the house had kept its peace. How carefully it had inquired, "Who goes there? What's the password?" and, getting no answer from lonely foxes and whining cats, it had shud up its windows and drawn shades in an old maidenly preoccupation with self-protection which bordered on a mechanical paranoia. It quivered at each sound, the house did. If a sparrow brushed a window, the shade snapped up. The bird, startled, flew off! No, not even a bird must touch the house! The house was an altar with ten thousand attendants, big, small, servicing, attending, in choirs. But the gods had gone away, and the ritual of the religion continued senselessly, uselessly.

Answers

Answer:

Step-by-step explanation:

it had shud up its windows and drawn shades in an old maidenly preoccupation with self-protection which bordered on a mechanical paranoia.

Put a like before an old maidenly aunt or woman. That makes it a simile. Take the like out and you have a metaphor.

Do the same thing with like in front of an alter. Take out the like and you have a metaphor.

What a grim and yet wonderful passage.

f(x) = 3x2 – x
Find f(10)

Answers

Answer: f(10) = 290

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given expression

f(x) = 3x² - x

Substitute values into the expression

f(10) = 3(10)² - (10)

Simplify exponents

f(10) = 3(100) - (10)

Simplify by multiplication

f(10) = 300 - 10

Simplify by subtraction

f(10) = [tex]\boxed{290}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

A clothing company buys t-shirts for $10 and sells them for $100. What is the percentage mark up on
t-shirts? Make sure you show at least one step of working

Answers

Answer:

900%

Step-by-step explanation:

Starting price : 10

End price: 100

100-10 = 90

90/10 = 9 = 900%

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

v/6 > 11
solve for the inequallity
please will mark brainliest

Answers

Hi ;-)

[tex]\frac{v}{6}>11 \ \ /\cdot6\\\\\frac{6v}{6}>66\\\\v>66\\\\\huge\boxed{v\in(66;+\infty)}[/tex]

100 POINTS + BRAINLIST IF RIGHT. GEOMETRY
In problems 13-15 is the bisector of AC

Please help 13-15 I’m struggling so hard :(

Answers

Hello! I'm happy to help!

Question 13: First, we will need to find the value of x. We know that AB and BC are equal.

So, we can subtract x from both sides.

2x-8

-x

x-8

So, we get AB as x-8

x+17

-x

17

and BC as 17. We know that these are equal, so we need to find which x value will make them that way. In this case, x=25 because 25-8=17. We can now add back the x we removed earlier.

17+25=42

Therefore, both AB and BC have a value of 42. and AC will be the combined total.

42+42=84

So, for question 13, x=25, AB=42, BC=42, and AC=84.

Question 14: This question is similar, but we have an expression for AB and AC, instead of AB and BC. We still know that AB=BC, so we can also say that BC=x+6 also. To find x, we need to find a second expression that is equal to AC. We can ad AB and BC together to get that. (x+6)+(x+6)=2x+12. This expression is equal to the AC expression, so we can compare them to find x.

2x+12=3x-31

We need to single out the x on one side, by changing things in the same way on both sides.

2x+12=3x-31

-2x       -2x

12=x-31

+31 +31

43=x

Now that we know our x value, we need to plug it in!

43+6=49

We now know that both AB and BC have a value of 49. Let's plug in the value for AC.

(43·3)-31

129-31

98

After plugging in the values, we know that AC is equal to 98. You could have also added AB and BC together, giving you 98 also.

To Summarize Question 14: x=43, AB=49, BC=49, AC=98.

Question 15: This one is very similar to the last, with a little more complexity to the expressions. First, let's simplify the expressions on AB and AC.

AB=3(3x-1)  AB=9x-3

AC=5(2x+2)   AC=10x+10

Now that we have the simplified expressions, let's solve. We need to find an equivalent expression for AC. We know that AB and BC are equivalent, and also add up to AC. We can copy the expression from AB to BC, and then add them

(9x-3)+(9x-3)=18x-6=AC

We now compare the two expressions in an equation to find x.

10x+10=18x-6

Again, we have to single out x on one side.

10x-10=18x-6

-10x     -10x

10=8x-6

+6     +6

16=8x

This time, we need to divide both sides to single out x.

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

2=x

Now that we have x, we need to plug it in to finish solving.

(9·2)-3

18-3

15

AB=15  BC=15

From here, you can do one of two things, add AB and BC together (easy), or plug in x for AC.

15+15=30                            (10·2)+10

AC=30                                 20+10=30

                                            AC=30

To Summarize Question 15: x=2, AB=15, BC=15, AC=30.

I'm always happy to help, keep learning! :D

                                       

Ray's birthday is 8 more than four times the number of days away from today than Jane's birthday. If Ray's birthday is 24 days from today, how many days untill Jane's birthday?

Answers

Answer:

4 days

Step-by-step explanation:

Since it is 8 more than 4 times, take 24 because that is how many days away rays birthday is and subtract 8. So now we have 24-8 which is 16. Now divide 16 by 4 to get 4 which is how many days away janes birthday is. So the answer is 4 days.

You have one box that is 1 4/11
feet tall and a second box that is 1.36 feet tall. Write the decimal expansion for
. If you stack the​ boxes, about how tall will the stack be?

Answers

The stacked boxes would be 2.72 feet tall

The height of the stacked box is the sum of the lengths of the two boxes

1 4/11 is a mixed number and it has to be converted to a decimal

A mixed number is a number that has a whole number and a proper fraction.

A proper fraction is a fraction is which the numerator is less than the denominator.

The whole number is 1 and the proper fraction is 4/11

To convert to a decimal, divide the numerator by the denominator. Add this number to the whole number

4/11 = 0.36

1 + 0.36 = 1.36 feet

Height of the stacked boxes = 1.36 + 1.36 = 2.72 feet

To learn more about decimals, please check:

https://brainly.com/question/18657762?referrer=searchResults

Need help on how how to do the question step by step need help ASAP

Answers

Answer:

4

Step-by-step explanation:

64 = 4 × 4 × 4 = 4³ , then

[tex]\sqrt[3]{4^3}[/tex]

= 4

Using the numbers 2,7,13,11,5 can you get the total of 23? (You must use all numbers, no negatives, no using each number more than once, and only use Subtraction, Multiplication, addition, and division, you can also group numbers)

Answers

Answer:

(2-7)/5 + 13 + 11

Step-by-step explanation:

There's a lot of guess and check that needs to go into this to make this work, but here's what I got:

(2-7)/5 + 13 + 11

-5/5 + 13 + 11

-1 + 13 + 11

24 - 1

23

Pleas help and can you please show you work

Answers

Step-by-step explanation:

P - 12.95 = 44

P = 56.95

is it right?

19. A square is divided into a 100-by-100 grid of smaller squares. If 100
squares are shaded in the top row, 99 in the second row, 98 in the third
row, and so on, what is the ratio of the squares shaded to the squares not
shaded? Write the answer as a fraction in simplest form.

Answers

Answer:

13:9 with 9 being unshaded

Step-by-step explanation:

i drew a similar grid, shaded them in in the way you specified, then counted the squares on either side. the i put the numbers in a fraction and simplified

HELP PLEASEEEEEEEEEEE

Answers

Answer:

The answer you have selected is correct.

Step-by-step explanation:

Answer:

X^2 - 7xy + y^2 +2y

Step-by-step explanation:

For this, they are just trying to test if u know how to expand the brackets, especially for the one on the right, since that is a negative infront of the bracket, u would need to multiply negative to all the values in that bracket

What is the correct domain and range in set notation

Answers

Answer:

The one on the middle left.

Explanation:

x goes infinitely in the positive direction.

y does not show any sign of not going infinitely positively or negatively.

14>6>2 true or false

Answers

Answer:

I think this is if it is right then help me plz this is false ..

The main rotor of a helicopter is spinning at a constant rate. The rotor makes 80 revolutions every 12 seconds. At what rate, in revolutions per minute, is the rotor spinning?

Answers

Answer:

B/16

Step-by-step explanation:

if the rotor is spinning 80 reveloutions every 12 seconds and, a minute is 60 seconds

12 divided by 60 = 0.2

0.2 times 80 = 16.

hope this helped

How hectometers equals 102 what

Answers

10200 and meters, I assume I answered the last one too

Geometry question. Parallel lines. “Find value of x that will make A||B”

Answers

Answer:

x = 11

Step-by-step explanation:

These angles are alternate exterior angles which means they are equal to each other:

5x + 9 = 6x - 2

5x - 6x = -2 - 9

-x = -11

x = 11

A number is considered "blue" if the sum of its digits is equal to the product of its digits. Which of the following
is "blue"?

Answers

Answer:

gcfcfud g fhhfhchgdjchfhfhgfhhufxyvhcj v hxhcnchchdfhvhdnfjc

Answer:

212205

Step-by-step explanation:

Well each letter is a number of a alaphabet

there are 14 math teachers and 26 science at school today what is the ratio of math teachers and science at school?

Answers

Answer:

Answer is 7:20

It's basically asking "what is the ratio of math teachers to total teachers?" assuming there are only math and science teachers at this school. For the sake of simplicity, let's just go with that. We have 14 math teachers and 14+26 = 40 teachers total. The ratio of math to total is 14:40 which reduces to 7:20 when we divide both parts of the ratio by the GCF 2.

Step-by-step explanation:

Answer:

the ratio is

14:26

but you can leave the answer like this the two numbers can be divided by 2 so

14/2=7 and 26/2=13

then the answer is 7:13.

What is the answer to the green box?

Answers

The bacteria increases 90% the formula adds the percentage, as a decimal to the 1.

The answer would be 0.90

pliss help me with this question

Answers

Answer:

1/32 people responded for Tampa.

Step-by-step explanation:

5. * Your parents drove the family car 462 miles on 14 gallons of gas. On average, how many miles did the car travel on each gallon of gas (Write the expression and solve)?

Answers

Answer:

33 miles did the car travel on each gallon of gas

please answer these question I will mark brainliest please only do part c and f​

Answers

Answer:

c.15+2z/6x-12y

f.7a+b/4a-6b

Step-by-step explanation:

z+1/x-2y - 2x-3/2x-4y + z/3x-6y

z+1/x-2y - 2x-3/2(x-2y) + z/3(x-2y)

6(z+1)-3(2z-3)+2z

15+2z/6x-12y

3a/2a-3b - a+b/2(-3b+2a)

6a+a+b/2(2a-3b)

7a+b/4a-6b

PLEASE HELP MARK BRAINLIESTS!!!!

Answers

Answer:

x=15 y=3

Both (4x+10y) and (6x) equal 90 degrees, as angle 4x+10y is vertical to a 90 degree right angle, and angle 6x is directly  beneath the right angle, making it equivalent. To find x, you simply do 90/6, which is 15, meaning x=15. Now plug in that into 4x+10y=90, which will make it 60+10y=90. Subtract 60 from 90, and divide the difference, 30, by 10, giving you 3, thus showing that y=3. You can double check by plugging in the x and y values.

Select the correct answer.
What is the value of xin 2(5x) = 14?

Answers

Answer: x= 1.4 or x=7/5

Step-by-step explanation:

2(5x)=14

Divide both sides by 2

5x=7

divide again this time both sides by 5 to solve for x

x=7/5 or 1.4 as a decimal

PLEASE HELP 25 points and brainliest!

Answers

Answer: 8.1 × 10¹⁰

Concept:

When multiplying exponents, add the exponents together.

When dividing exponents, subtract the exponents.

Solve:

Given expression

(3 × 10⁶) × (2.7 × 10⁴)

Put like terms together

=3 × 2.7 × 10⁶ × 10⁴

Combine like terms

=8.1 × 10⁶⁺⁴

=[tex]\boxed{8.1*10^{10}}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

8.1 x 10^10

Step-by-step explanation:

When you do this type of problem you want to combine the like terms together, in this case is this.

3 × 2.7 × 10⁶ × 10⁴. So you will get.        

8.1 x 10⁶⁺⁴

Which is 8.1 x 10^10 simplified

Peyton needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4 hours and charged her $77 for parts. The total was $497. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.

Answers

Answer:

Step-by-step explanation:

the equatoin is 4x+77=497

and x is the hours spent

so solving it you subtract 77 from 497 which is 420 and 420/4 is equal to 105

(√2+√3) ^2
answer faaaaaaaaaaaaast

Answers

Answer:

2.5

Step-by-step explanation:

Answer:

[tex]thank \: you[/tex]

6) find HJ
8)find IK

Answers

Answer:

HJ = 17

IK = 30

Step-by-step explanation:

to find HI :

GH : 2

HI : ?

IJ : 12

GI : 7

HI = GI - GH

HI = 7- 2

HI = 5

HI + IJ = HJ

5 + 12 = HJ

17 = HJ

To find IK

IJ = ?

JK = 12

KL = ?

IL = 49

JL = 31

To find IK we need to find KL and IJ

KL = JL - JK

KL = 31 - 12

KL = 19

IJ = IL - (JK + KL)

IJ = 49 - 31

IJ = 18

IK = IJ + JK

IK = 18 + 12

IK = 30

Other Questions
What's the value of u+ v 1.Ann speaks French more fluently than James.James doesnt________________________________________________________ on monday 382 students went on a trip to the zoo. all 9 buses were filled and 4 students had to travel in cars. how many students were in each bus? What should a reader look for to find the authors purpose cuales son las razones por las que las colonias hispanoamericanas se revelaron contra Europa? 7-15Dividing decimals On July 1, 2021, Bonita Industries issued 3500 of its 10%, $1,000 bonds at 99 plus accrued interest. The bonds are dated April 1, 2021 and mature on April 1, 2031. Interest is payable semiannually on April 1 and October 1. What amount did Bonita receive from the bond issuance PLS HELP IF DONE CORRECTLY I WILL MARK AS BRAINLIEST!!! In JKL, solve for x Question 8 (5 points)Which of the following reflects Congress acting on an implied power in the Constitution? (5 points)O aordering the creation of a new design for a quarter coinObapproving the spending of funds for new army vehiclescreating a set of national standards for public schoolsOdmaking a change to the rates charged for income tax 10 A frustum is a portion of a solid. The frustum shown opposite is formed from a cone. a What is the volume of the missing top cone? Give answers correct to the nearest cubic metre.b What was the volume of the entire cone? c What is the volume of the frustum? i have no idea how to solve this help Which of the following Hindu beliefs do Buddhists reject?A) reincarnationB) the caste system C) karmaD) the idea that life is suffering what is [tex] \frac{28}{141} [/tex]as a percentage What are the answers to these? PLEASE HELPSeven more than the quotient of a number and 5 is equal to 4.Use the variable b for the unknown number. (6, -1) translate 8 units to the right 7 units down What is a coordinate adjective?A. A coordinate adjective is a phrase that functions as a unit to modify a noun.B. A coordinate adjective is a single word that qualifies a single part of speechC. A coordinate adjective is one or more adjectives in a sequence that modify the same noun.D. A coordinate adjective is two or more words that function together as an adverb. Which country sent explorers along the routes of this map?A) FranceB) England C) SpainD) Portugal During transformation,a. a prokaryote is changed into a eukaryote.b. a cell takes in DNA from outside the cell.c. foreign RNA is inserted into a plasmid.d. a clone is produced. The sixth grade teachers bought food for a reward party. They purchased 64 bags of chips and 80 bottles of water . What is the largest number of students that can be invited to the party so they each get the same amount of chips and water?