Solve the exponential equation by the method of relating the​ bases, first rewriting the equation in the form

Solve The Exponential Equation By The Method Of Relating The Bases, First Rewriting The Equation In The

Answers

Answer 1

Answer:

  x = 1/3

Step-by-step explanation:

Both bases can be written as powers of 6.

  36^x = (1/6)^(x-1) . . . . . . given

  (6^2)^x = (6^-1)^(x -1) . . . . . bases as powers of 6

  6^(2x) = 6^(-x+1) . . . . . . . . . simplify exponents

  2x = -x +1 . . . . . . . . . . . . . . . .equate exponents of the same base

  3x = 1 . . . . . . . add x

  x = 1/3 . . . . . divide by 3


Related Questions

The designers of a new website expect the number of visitors to the site to double each month. There were 600 visits to the site the first month. Which function can be used to predict the number of visitors during month m

Answers

The exponential function used to predict the number of visitors during month m is [tex]y = 600(2)^m[/tex]

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the factor.

Let y represent the number of visitors during month m.

There were 600 visits to the site the first month and they double each month, hence:

a = 600, b = 2

The exponential function is given by:

[tex]y = 600(2)^m[/tex]

Find out more on exponential function at: brainly.com/question/2456547

your paper airplane is launched from 25ft. it descends at a rate of 5ft per second. write an equation that represents the height y of your airplane after x seconds

Answers

Answer:

y= -5x + 25

Step-by-step explanation:

y = mx + b

m(slope) = descending 5ft/sec means the height will decrease so the slope must be negative

b(y-int) = starting height of 25 ft added

Which decimal is less than 0.12 and greater than 0.008?

Answers

Answer:

Too many examples.

You can pick a number between 120 and 8, then. take that number and move the decimal point to the left 3 spaces.

Here are some examples between 0.12 and 0.008:

0.10.0650.580.07830.119


Given logv5 3 ≈ 0.6826 and logv5 8 ≈ 1.2920, evaluate the expressions.

A) logv5 2
B) logv5 (75/8)

Answers

The answer is B I could be wrong but I think that’s the answer

plz help verbal expression ​

Answers

Answer:

3(9+r) = 27 + 3r

Sum = addition

Distributive property

3/4, 4/5, 7/8, 9/11, 5/6
can they be simplified? give your reasons below.​

Answers

They cannot be simplified

Answer:

No, none of these can be simplified

Step-by-step explanation:

Each one of these factions have a prime number in it, so therefore, you cannot simplify any of them. Prime numbers are numbers that only have 2 factors, one and itself. So, you can't simplify any of them.

Here's why:

If you take 3/4, you can't simplify because 3 is prime. 4 is NOT prime, but to reduce, you have to be able to find a GCF, or a greatest common factor.

If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is what?

Answers

we can change cos to sin by saying cosx=sin(90-x)

now we drop sin and make the angles equal (nothing needs to be added or subtracted since its in the first quadrant)

90-x=20+x+k.360.......kEZ (k is an element of set of integers) (we say k.360 if it's cos and sin and k.180 if it's tan)

-x-x=20-90+k.360........kEZ

-2x=-70+k.360.........kEZ

divide all terms by -2

x=35-k.180.......kEZ

Answer:

x=35°

Step-by-step explanation:

If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is 35°.

I WILL GIVE BRAINLEST AND 50 POINTS
Katrina was training for a race. The line plot below shows the number of miles Katrina ran last week.



3. How many times did Katrina run 1 mile?

Answers

Answer:

Katrina ran 1 mile 3 times! I hope this helps you!

in hillary's garden, she has 5 variety of snake plants and 15 variety of orchids. what is the ratio of snake plants to orchids?

Answers

Answer:

1:3

Step-by-step explanation:

She has 1 snake plant for every 3 orchids.

Jack’s school bag contains 8 books each of weight 3/8 pounds, and 6 folders of weight 1/2 pound. b) What fraction of the total weight is folders?

Answers

Answer:

6 pounds

Step-by-step explanation:

3/8×8/1=24/8=3

6/1×1/2=6/2=3

3+3=6

Identify the slope and y-intercept of the line 4x + 2y < 3.

Answers

Answer:

Step-by-step explanation:

4x+2y<3

y<-2x + [tex]\frac{3}{2}[/tex]

hehehejejwjjejejjejejwkwkwkekekejjeue

Answers

Answer: The last answer is correct.

Step-by-step explanation:

Help with this polynomial problem.​

Answers

Answer:

i cannt see it

Step-by-step explanation:

What is the 7th term in the sequence below?

-19, -7, 5, 17, .....
Select one:
a.65
b.29
c.101
d.53

Answers

Answer:

53

Step-by-step explanation:

—19 + 12 = —7

—7 + 12 = 5

5 + 12 = 17

.

.

.

so the n term of the sequence will be: 12n 31

so 7th term will be: 12 × 7 31 = 53

Answer:

d. 53

Step-by-step explanation:

increases 12 units at each step:

17 + 12 = 29

29 +12 = 41

41 + 12 = 53  (7th term)

Hope this helps

On Monday there are 25 pencils in a basket, If 3 pencils are taken out of the basket each day, how many pencils are left in the basket on Friday?

Answers

13 cuz add 4 days then friday so 4×3 which is 12 and 12-25 so ye its 13

multiply 8 by 10, then subtract t from the result

Answers

Answer:

80-t

Step-by-step explanation:

8(10)=80

80-t

Not sure if this is what you mean... please attach a picture to your question.

Which statement BEST describes how the graph of g(x) = – 3x2 compares to the graph of f(x) = x2 ?


A
The graph of g(x) is a reflection of f(x) across the x-axis.
B
The graph of g(x) is a vertical shrink of f(x) by a factor of 1/3 and a reflection across the x-axis
C
The graph of g(x) is a vertical stretch of f(x) by a factor of 3.
D
The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.

Answers

The transformations of f(x) are (d) The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.

How to describe the transformation from the parent function?

From the question, we have the following function that can be used in our computation:

f(x) = x²

g(x) = -3x²

Mathematically, these equations can be represented as

g(x) = -3f(x)

The above equations implies that, we have the transformation to be:

The 3 implies that the function f(x) is vertically stretch by a factor of 3The - implies that it is reflected across the x-axis

Hence, the transformed function is (d)

Read more about transformation at

brainly.com/question/27224272

#SPJ1

This is Comparing Quantities

3 days to 40 hours
pls help me ​

Answers

Answer:

1 days= 24 hrs

3 days = 3×1 days

= 3×24 hrs

= 72 hrs

Part D: Your parents put in fencing around the walkway for safety. If 110 feet of
fencing is used, what are the dimensions of the pool? Show your work.

Answers

Answer:

Step-by-step explanation:

Not near enough information to know.

I ASSUME that the pool is surrounded by a walkway of constant width (w = 2 ft, from comments)

The pool shape is important as well. No mention of  the shape

If the pool is circular and the walkway is 3 ft wide

the fence encloses a diameter of 110/π = 35 ft

so the diameter of the pool would be 35 - 2(3) = 29 ft.

POOL IS RECTANGULAR from comments

If the pool is square and the walkway is 2 ft wide, each side of the fence is

110 / 4 = 27.5 ft and the pool would be 27.5 - 2(2) = 23.5 ft on a side.

There are an infinite number of rectangular width and length dimensions and walkway dimensions which would result in a fence length of 110 ft.

Edit from comments

Still an infinite number of rectangular length an width dimensions for a pool with a 2 ft wide walkway around it.

Let's say that we are told the pool is 12 ft wide with 2 ft walkway.

Let L be the pool length

110 = 2(12 + 2(2)) + 2(L + 2(2))

110 = 32 + 2L + 8

70 = 2L

L = 35 ft

Multiply. Write the answer in simplest form. 3/7 x 2 5/6

Answers

193/42

3×6+25×7÷4218+175÷42193/42

y-2=-2/1(x-4) in slope intercept form

Answers

Answer:

y=2x-6

Step-by-step explanation:

y-2=-2/1(x-4)

y-2=2x-8

+2 +2

y=2x-6

Which unit rate is equivalent to 12 miles per gallon? 24 miles 2 gallons 2 gallons 24 miles 36 miles 4 gallons 4 gallons 36 miles​

Answers

Answer:

24/2

Step-by-step explanation:

Find the value of x in the figure below

Answers

Answer:

37

Step-by-step explanation:

Both the x and the 53 add up to 90 so you subtract 53 from 90 and you get 37

1) write the measurement 4009 mm into the place value table below

a) what is 4009 mm in cm
b) what is 4009 mm in m

2) how many millimeters is 6 liters​

Answers

Answer:

a)400.9 cm

b)4.009 m

c) 181.71 mm

Step-by-step explanation:

a) First know that when you move from cm to mm you multiply by 10 and when you move from mm to cm you divide by 10 because 1mm= 0.1 cm

so 4009mm/10 = 400.9cm

b) when you move from m to mm you multiply by 1000 but when you move from mm to m you divide by 1000 ,so 4009/1000 = 4.009

c) 1litre= 1000000mm³

6litre= x

xlitre= 6000000 litre mm³

divide by litre

x= 6000000 mm³

but according to the question we are not looking for cubic mm but mm the fore remove cubic by insterting cube root

x= 181.71 mm

: . c)181.71 mm

can't believe that you got me in a suit and tie I had to take a pull so I wouldn't cry
You got a line out the church door sayin' goodbye
Yeah, I believe 'em when they say you're in a better place
NAME THE SONG AND THE SINGER 50 POINTS!!!!!

Answers

Answer:

give heaven some hell by Hardy

Step-by-step explanation:

7(2e-1)-3=6+6e pls help and do step by step

Answers

Answer:

e = 2

Step-by-step explanation:

7(2e - 1) - 3 = 6 + 6e

14e - 7 - 3 = 6 + 6e

14e - 10 = 6 + 6e

14e - 6e - 10 = 6

8e - 10 = 6

8e = 6 + 10

8e = 16

8e/8 = 16/8

e = 2

Recheck:

7(2e - 1) - 3 = 6 + 6e

7(2(2) - 1) - 3 = 6 + 6(2)

7(4 - 1) - 3 = 6 + 12

7(3) - 3 = 18

21 - 3 = 18

18 = 18 ✅

Add and simplify:
3 + 1
10 5​

Answers

Answer:

I don't under stand the question can u write more clearly

A ladder is 65 inches tall. How tall is it in feet and inches?

Answers

1 foot = 12 inches

65 inches / 12 = 5.41 feet

5 x 12 = 60

65-60 = 5

Answer: 5 feet 5 inches

what is 8/10 in simplest form

Answers

i search it up and found its  4/5

(8,4) and has a slope of 5/2

Answers

I’m guessing you want the equation? Rise is 5, run is 2 (slope=rise/run). To find the equation, we need a y intercept. the graph must move 8 units left to reach the y axis. To move 8 units left in the negative direction, we must also move 20 units down (because the shift required is 4 times greater than the slope, we must multiply the other coordinate by 4 to find how far to move the coordinate). When x=0, y=(4-20). This can be written as y=-16. The equation would be y=(5/2)x-16
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