Please help me with this

Please Help Me With This

Answers

Answer 1

Given:

The equation is:

[tex]3^x\times 9=3^{2n-1}[/tex]

To find:

The value of n in terms of x.

Solution:

We have,

[tex]3^x\times 9=3^{2n-1}[/tex]

It can be written as

[tex]3^x\times 3^2=3^{2n-1}[/tex]

[tex]3^{x+2}=3^{2n-1}[/tex]                [tex][\because a^ma^n=a^{m+n}][/tex]

On comparing the exponents, we get

[tex]x+2=2n-1[/tex]

Add 1 on both sides.

[tex]x+2+1=2n-1+1[/tex]

[tex]x+3=2n[/tex]

Divide both sides by 2.

[tex]\dfrac{x+3}{2}=n[/tex]

Therefore, the value of n is terms of x is [tex]n=\dfrac{x+3}{2}[/tex].


Related Questions

Please Help
please and thank you!

Answers

Answer:

Step-by-step explanation:

cube means 3D  square.. right?

so for volume  we want the height x width x length.. make sense?

since each edge is 9'  

the volume is [tex]9^{3}[/tex] = 729  [tex]ft^{3}[/tex]

Answer: 729

Step-by-step explanation:

This is very simple all you do is cube 9

[tex]9^{3}\\729[/tex]

The square table has side lengths of 4 feet. What is the length of the diagonal?

Answers

Answer: 2 square root 2

Explanation: you can use the Pythagorean Theorem and do 4^2 + 4^2 = square root of 32 which is 2 square root 2
2 would be correct ^^

fill in the missing steps of the following sequence:

104, 60, __, 27, 21.5

Answers

Answer:

38

Step-by-step explanation:

reducing by half of 44, half of 22, half of 11

HELP ME PLEASE 10 points!!!!!

tamika has $55 in her savings account. She plans on depostiting $5 per week into her account. Write and solve an inqequality to find out how many weeks she must save to have more than $100 in her account. Then interpet the solution

Answers

Answer:

x>9

Step-by-step explanation:

Tamika already has $55, which will stay the same independent of how much time passes. Since she deposits $5 per week, we can assign weeks a variable x. The amount of money in her account after x weeks is equal to 55+5x. If she must save over $100, we can create an inequality to solve for how many weeks must pass: 55+5x>100.

The question also asks to solve the inequality:

55+5x>1005x>100-55 (Subtract 55 from each side)5x>45x>9 (Divide each side by 5)

This solution tells us that Tamika must save for more than nine weeks to have more than $100 in her account.

lmk if i made an error, hope this helps!!

A mother is 3 times as old as her daughter.In 12 years time she will be twice as old as her daughter will be then. How old is the mother now?

Answers

Answer:

The mother will be 36.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

just multiply 12 and 3

A number Q has a remainder of 3 when divided by 5 and also has a remainder of 4 when divided by 8. What is the smallest value Q can have?

Answers

5555666689919374747373

help asap

could someone please explain how to solve/answer this?

much appreciated

Answers

the angles you have to find are vertical angles to the equations that are given. a vertical angle is an angle that is directly across from another.

angle 1 is equal to 4x+10

angle 2 is equal to 8x-25

since this is a transversal,

4x+10=8x-25

then just solve for x.

x= 8.75

then substitute 8.75 wherever you see x.

4(8.75)+10 = 45
8(8.75)-25= 45

going back to the vertical angle rule, both angle 1 and 2 are equal to 45°

5m+2-m=12m. solve for m. simplify the answer to
the lowest term.

Answers

Answer:

m=1/4

Step-by-step explanation:

5m+2-m=12m

4m+2=12m

2=12m-4m

2=8m

2/8=m

1/4=m

m=1/4

Select all the sets of side lengths that will make a triangular shelf fit in a 90 1 point
degree corner of a room.
3 cm, 4 cm, 5 cm
2 cm, 3 cm, 4 cm
5 cm, 6 cm, 9 cm
6 cm, 8 cm, 10 cm
7 cm, 9 cm, 11 cm
This is Irequired question

PLEASE HELP AND LOOK AT MY OTHER RECENT QUESTIONS NOBODY EXCEPT A BOT IS ANSWERING 3

Answers

Answer is 7cm i think

Answer:

1. 6cm , 8cm , 10cm

2. 3cm , 4cm , 5cm

Step-by-step explanation:

245 tickets in 5 days what is the unit rate

Answers

Answer:

245/5 = 49 tickets per day

Answer:

245 / 5 = 49 so

49 tickets per day

A town's population went from 40,000 to 50,000. What was the percent of change in the population?

Answers

It would be a 0.8% change

Write the center and radius for the following circles

Answers

Given:

The equations of circle are

4. [tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]

5. [tex](x-1)^2+(y+2)^2=28[/tex]

6 .[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]

To find:

The center and radius for the given circles.

Solution:

The standard form of a circle is:

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

Where, [tex](h,k)[/tex] is center and [tex]r[/tex] is the radius of the circle.

4.

The equation of the circle is

[tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]

The standard form of this circle is

[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(\sqrt{24})^2[/tex]

[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(2\sqrt{6})^2[/tex]

Therefore, the center of the circle is [tex]\left(-\dfrac{2}{3},-1\right)[/tex] and the radius of the circle is [tex]2\sqrt{6}[/tex].

5.

The equation of the circle is

[tex](x-1)^2+(y+2)^2=28[/tex]

The standard form of this circle is

[tex](x-1)^2+(y-(-2))^2=(\sqrt{28})^2[/tex]

[tex](x-1)^2+(y-(-2))^2=(2\sqrt{7})^2[/tex]

Therefore, the center of the circle is [tex]\left(1,-2\right)[/tex] and the radius of the circle is [tex]2\sqrt{7}[/tex].

6.

The equation of the circle is

[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]

The standard form of this circle is

[tex](x-(-12))^2+(y-0)^2=(\sqrt{\dfrac{3}{64}})^2[/tex]

[tex](x-(-12))^2+(y-0)^2=\dfrac{\sqrt{3}}{8}[/tex]

Therefore, the center of the circle is [tex]\left(-12,0\right)[/tex] and the radius of the circle is [tex]\dfrac{\sqrt{3}}{8}[/tex].

NOWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW

Answers

Answer: 60 is the answer.

Step-by-step explanation: We can use the total sum, 180.

To get the missing angle, add the 2 angles, 60 and 60.

60 + 60 = 120.

Then subtract from 180.

180 - 120 = 60.

Hence, 60 is the answer.

Let me know if you have any questions.

~ Lily, from Brainly.

Note to asker: Write this down!

To find 1 missing angle:

A1 + A2 = TA - 180 = X (A1 = Angle1)

please help besties

Answers

Answer:

200.96

Step-by-step explanation:

64x3.14=200.96

Answer:

A= 200.96in2

Step-by-step explanation:

8×8=64

64×3.14=200.96

PLEASE HELP! 100 POINTS ! AND BRAINLIEST.

Find the area of the following figure. Explain or show how you got your answer.

Answers

Answer:

26.5 units

Step-by-step explanation:

i just counted the units on the inside.

but you could also split this shape into two rectangle like shapes and then find the area of both of those and then add them together.

hope this helps :)

Answer:

area =no of full square + half square =24+1/2×5=26.5 unit ²

Look at this equation. 3(x + 1) = 3x + Which number can be placed in the box that would create an equation that has an infinite number of solutions? OA) O OB) 1 C) 2 OD 3​

Answers

[tex]52 - x = 52[/tex]

[tex]x = 52 - 52[/tex]

[tex]x = 0[/tex]

If side x has a length of 15 cm and side y has a length of 4 cm, then which value below could be the length of side z?
A.
20 cm
B.
21 cm
C.
17 cm
D.
10 cm

Answers

Given:

In a triangle, side x has a length of 15 cm and side y has a length of 4 cm.

To find:

The possible value of side z.

Solution:

In a triangle, the sum of two smaller sides must be greater than the largest side otherwise the triangle is not possible.

Case I: Let x be the largest side, then

[tex]y+z>x[/tex]

[tex]4+z>15[/tex]

[tex]z>15-4[/tex]

[tex]z>11[/tex]               ...(i)

It is clear that [tex]y<x[/tex]. So, y cannot be a largest side.

Case II: Let z be the largest side, then

[tex]x+y>z[/tex]

[tex]15+4>z[/tex]

[tex]19>z[/tex]               ...(ii)

From (i) and (ii), we get

[tex]11<z<19[/tex]

It means the value of z lies between 11 and 19.

From the given options, only 17 is the value which lies between 11 and 19. So, the possible length of side z is 17 cm.

Therefore, the correct option is C.

Maria's family drove 140 mi to her grandparents' house and averaged 56 mi/h​ on the way there. On the return trip, they averaged 50 mi/h.

What was the total time Maria's family spent driving to and from her grandparents' house?


2.5 h

2.6 h

5.2 h

5.3 h

Answers

The answer is 5.3 h there you go even tho someone already helped you

Answer:

5.3!

Step-by-step explanation:

I took the test on k12 mathematics :)

Choose one answer
Pls fast anyone

Answers

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

Pythagorean theorem: [tex]a^{2}+b^{2}=c^{2}[/tex]

Answer:

B

Step-by-step explanation:

Pythagorean theorem states that a²+b²=c²

Through observation, I assumed that 8 was the hypotenuse

I sqaured both the known lengths of the leg and hypotenuse and plugged them into the equation: a²+36=64

I subtracted 36 from 64 leaving me with 28=a²

Then in order to isolate the variable I had to apply square root to both values, cancelling the "²" and leaving me with √28=a

someone please help me, whoever gets it right i will mark brainliest

Answers

3x^2 6x^2 + 4x -8

2x. 9x^3 + 6x^2 -12x

x^2. 18x^2 + 12x - 24

6x^2. 3x^2 + 2x - 4

Plz plz plz helpppppplllpl​

Answers

Answer:

both 20 and 12 but, 12 can be more accurate. Depends on your teacher's point of view.

please mark as brainliest

please help!! I'll give you brainlyest (however you spell it) just please!! A bottle of orange juice contains 750 mg of vi C and has 6 servings. A bottle of cranberry juice contains 135 mg of vitamin C las 1.5 servings. Mrs. Kahn wants to compare the amount of vitamin C in the juices.
How does the amount of C in each type of juice compare? One serving of ____ (answers are orange or cranberry) juice has ____ mg more vitamin C per serving than one serving of _____ (answers are orange or cranberry) juice

Answers

Answer:

One serving of orange juice has 30 mg more vitamin C per serving than one serving of cranberry juice

Step-by-step explanation:

i cant find out the answer for
the life of me

Answers

Answer:

A. h = (S/2πr) - r

Step-by-step explanation:

Solve the given for h:

S = 2πrh + 2πr²

Isolate h:

2πrh = S - 2πr²

Divide all terms by 2πr:

h = (S/2πr) - r

Correct choice is A

can someone help me please!!

Answers

Answer:

55°

Step-by-step explanation:

∠KJL=180° - 125 = 55°

KL=KJ

so, ∠KJL= ∠KLJ =55°

Which product of prime polynomials is equivalent to 3x4 – 81x?

3x(x – 3)(x2 – 3x – 9)
3x(x – 3)(x2 + 3x + 9)
3x(x – 3)(x – 3)(x + 3)
3x(x – 3)(x + 3)(x + 3)

Answers

Given:

The expression is

[tex]3x^4-81x[/tex]

To find:

The product of prime polynomials which is equivalent to the given expression.

Solution:

We have,

[tex]3x^4-81x[/tex]

Taking out the common factors, we get

[tex]=3x(x^3-27)[/tex]

It can be written as

[tex]=3x(x^3-3^3)[/tex]

[tex]=3x(x-3)(x^2+3x+3^2)[/tex]        [tex][\because a^3-b^3=(a-b)(a^2+ab+b^2)][/tex]

[tex]=3x(x-3)(x^2+3x+3^2)[/tex]

[tex]=3x(x-3)(x^2+3x+9)[/tex]

Therefore, the correct option is B.

Answer:

It's B

Step-by-step explanation:

Which quadratic function has a vertex point of (3,5) and passes through the
point (-2,55)?

Answers

9514 1404 393

Answer:

  f(x) = 2(x -3)² +5

Step-by-step explanation:

For vertex (h, k) and scale factor 'a', the vertex form is ...

  f(x) = a(x -h)² +k

We can fill in the values of h and k from your vertex, and use the values of the extra point to find 'a'.

  55 = a(-2 -3)² +5

  50 = 25a . . . . . . . . subtract 5

  a = 2 . . . . . . . . . . . divide by 25

So, the function is ...

  f(x) = 2(x -3)² +5

__

In standard form, that will be ...

  f(x) = 2x² -12x +23

​Calculate the bond energies that correspond to arrows A, B and C in the diagram:

Answers

Answer:

Parted = farted and pooed, wafflebox = person who waffles (talking about random things), gogglebox = person who stares at people, battery brain = person who uses drugs. You might want to use these words so no one knows what you are talking about and you can talk about people badly without them knowing

Step-by-step explanation:

Item 6
Find the selling price.

Cost to store: $50

Markup: 10%

The selling price is?

Answers

50×100÷110=45.454545r6

Of 42 cities, 5 have a lake and 29 have a river running through them what fraction of these 42 cities have a lake or river running through them

Answers

Answer: 17/21

Step-by-step explanation:

Number of cities = 42

Fraction of cities that has lake = 5/42

Fraction of cities that have rivers = 29/42

The fraction of these 42 cities that have a lake or river running through them will then be:

= 5/42 + 29/42

= 34/42

= 17/21

Spoints
Aregular hexagon is dilated by a scale factor of 0.4 to create a new hexagon. The perimeter of the new hexagon is 0.4 times the perimeter of
the original hexagon
O True
False

Answers

Answer:

True.

Step-by-step explanation:

It is given that, a regular hexagon is dilated by a scale factor of 0.4 to make image.

It means, the perimeter of image is 0.4 times the perimeter of the original hexagon.

For example,

Let's take the rectangle with length of 12 and width of 4, it's perimeter is 12+12+4+4 =32

Let's find image using scale factor 0.4, we get

length =0.4(12)= 4.8

width =0.4(4)=1.6

So, perimeter of image = 4.8+4.8+1.6+1.6=12.8

If we compare the perimeters

0.4(32)=12.8.

So, it is true.

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