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

find the mean of 100​

Answers

Answer:

100.

Step-by-step explanation:

100 + 0 = 100

100 ÷ 1 = 100

The answer is 100 explanation=

Connor gets one hour of lunch and recess every day at school. He eats lunch first, and then gets to go outside for recess. He begins lunch at 11:15am. Based on this information, select All of the statements that are correct. a. If it takes Connor 25 minutes to eat lunch, he can go outside for recess at 11:40am. b. If it takes Connor 35 minutes to eat lunch, he will have 20 minutes left for recess. c. If it takes Connor 20 minutes for lunch, he can go outside for recess before 11:45am. d. If it takes Connor 25 minutes for lunch, he will still have at least 40 minutes left for recess. Vle. If it takes Connor 45 minutes for lunch, he can go out to recess at 12:00pm.

Answers

Answer: B ( sorry if im wrong )

Step-by-step explanation:

if Conner begins lunch at 11:15am then we need to find out what it'll be in +60 minutes, which is . . . 12:15pm

so it's not A, C, E - which now leaves us B and D

( I used a time calculator btw )

the answer is D because B is 25 minutes for recess

-5+i/2i ????
please help!

Answers

[tex]-5+\frac{i}{2i} = -5+\frac{1}{2}=-\frac{9}{2} =-4.5[/tex]

ok done. Thank to me :>

11,16,21,...
Find the 43rd term.
Find the 43rd term.




Answers

Answer:

You add 5 each time so we just need to multiple 5 by 40  since we alredy have the first three terms.

40*5=200

21+200=221

Hope This Helps!!!

PLS HELP ASAP ILL GIVE 5 STARS

Answers

Hey there!

(5 * 6) * 4

= 30 * 4

= 120

So you’re basically looking for something that’s equivalent to 120

CHOICE A.

5 * (5 * 6)

= 5 * 30

= 150

So, Choice A is probably NOT the answer you’re looking for!

CHOICE B.

4 * (5 * 6)

= 4 * 30

= 120

Choice B. is probably the answer you’re probably looking for.

So, I recommend you to color it apricot. :)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

What term best describes the graph of y=-15

Answers

Step-by-step explanation:

x,y = 0,-15

for another you have to draw Cartesian plane

Answer:

The answer is:- Zero slope

Step-by-step explanation:

Hope it helps you ✌️

Please help me asap!

Answers

Answer:

Step-by-step explanation: I think it is c


You buy a serving spoon for $4.05 and a bread knife for $3.99. What is the total cost of your purchase?
A. $8.94
B. $7.04
C. $7.94
D. $8.04

Correct answer on gradpoint is D: $8.04

Answers

Answer: d. $8.04

Step-by-step explanation:

$4.05 + $3.99 = $8.04

Answer:

d. 8.04

Step-by-step explanation:

4.05+3.99=8.04

change 93 to base 4 ​

Answers

93 in base 10 converted into base 4 would 1131

Admission to the zoo costs $15 per person. Which graph correctly represents the total cost for a group to visit the zoo? Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (2, 30), (3, 45), (4, 60), (5, 75), (6, 90), and (7, 105). Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (2, 15), (3, 15), (4, 15), (5, 15), (6, 15), and (7, 15). Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (2, 16), (3, 17), (4, 18), (5, 19), (6, 20), and (7, 21). Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (1, 30), (1, 45), (1, 60), (1, 75), (1, 90), (1, 105).

Answers

Admission to the zoo costs $15 per person.

The graph y = 15x correctly represents the total cost for a group to visit the zoo.

Given;

Admission to the zoo costs per person = $15

Let:

The total number of people visiting the zoo = x

The total cost for a group to visit the zoo = y

So,  y ∝ x

y = 15x

Therefore, the graph y = 15x correctly represents the total cost for a group to visit the zoo.

Answer:

A

Step-by-step explanation:

How much interest will you earn if you deposit
$4000 into an account compounded semi-annually
at 2.8% for 5 years?

Answers

Answer:

45215.31

Step-by-step explanation:

$596.6 is the interest will you earn if you deposit $4000 into an account compounded semi-annually at 2.8% for 5 years.

What is compounding?

Compounding is the process whereby interest is credited to an existing principal amount as well as to interest already paid. Compounding thus can be construed as interest on interest—the effect of which is to magnify returns to interest over time, the so-called “miracle of compounding.”

According to question,$4000 into an account compounded semi-annually at 2.8% for 5 years.

We have to find interest rate.

Formula for compound interest is [tex]P[(1+i)^n-1][/tex]

Since compounding is semi-annually,

[tex]i=\frac{0.028}{2}[/tex][tex]=0.014[/tex] (since compounding is semi-annually)

[tex]n[/tex]=number of years=[tex]5[/tex] ×[tex]2=10[/tex] years (since compounding is semi-annually)

So, compound interest

[tex]=[/tex][tex]P[(1+i)^n-1][/tex]

[tex]=4000((1+0.014)^{10} -1))[/tex]

[tex]=4000[/tex]×[tex]0.1491[/tex]

[tex]=596.6[/tex]

Hence we can conclude that,$596.6 is the  interest will you earn if you deposit $4000 into an account compounded semi-annually at 2.8% for 5 years.

Learn more about  compound interest here:

https://brainly.com/question/14295570?referrer=searchResults

#SPJ2

PLZ HELP MATH QUESTION! LOOK AT THE PICTURE BELOW!I I WILL GIVE BRAINILEST TO CORRECT FAST ANSWER!

Answers

Answer:

x<2

Step-by-step explanation:

You're answer is wrong because the circle on the number line is not closed. If it was closed, it would be x ≤ 2 , but because it is open, it would be just be x<2

Tony’s birthday his mother is making cupcakes for his friends at his daycare that the recipe calls for 3 1/3 of flour I make 2 1/2 dozen cupcakes.Call me she’ll ask flower two dozen of cupcakes

Answers

Answer:

No, there is no enough flour for each of his friends to get a cupcake

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ This recipe makes 2 dozen cupcakes

∵ Each dozen contain 12 cupcakes

∴ The number of cupcakes can the recipe make = 2  × 12

∴ The number of cupcakes can the recipe make = 30 cupcakes

∵ The recipe calls for 3 cups of flour

→ That means 3 cups of flour can make 30 cupcakes

∴ 3 cups of flour makes 30 cupcakes

∵ Anthony’s mother has only 1 cup of flour

→ By using the ratio method

→  flour  :  cupcake

→  3      :  30

→   1       :   x

→ By using cross multiplication

∵ 3 × x = 1 × 30

∴ 3 x = 30

→ Divide both sides by 3

∴ x = 9

∵ x represents the number of cupcakes  

∴ Anthony’s mother can make 9 cupcakes with 1 cup of flour

∵ Anthony has 12 friends at his daycare

∵ The number of the cupcakes = 9

∴ The number of cupcakes is not enough for each of his friends to

  get a cupcake

Step-by-step explanation:

Answer:

Tony’s birthday his mother is making cupcakes for his friends at his daycare that the recipe calls for 3 1/3 of flour I make 2 1/2 dozen cupcakes.Call me she’ll ask flower two dozen of cupcakes

Step-by-step explanation:

Mara is playing a game. There are two marbles in a bag. Ifshe chooses the purple marble, she will win $10. If she chooses the orange marble, she will win $200. What is the expected value of Mara's winnings from the game?

Answers

Answer:

Step-by-step explanation:

Mara has a 50% chance of getting the purple marble and 50% of getting an orange marble, since there's 2 marble; 1 purple and one orange; 1/2 = 50%

So she has a 50% chance of receiving $10 and a 50% chance of receiving the $200.

For how many positive integers n is it possible to have a triangle with side lengths five, 12, and n

Answers

Step-by-step explanation:

you know, a single side cannot be longer than the other 2 sides combined.

otherwise, the triangle cannot "close".

so, it starts with 12 cannot be longer than 5 + n.

therefore, n must be at least 7.

and n cannot be longer than 5+12 = 17

7 and 17 I would normally rule out a well, because in these cases the triangle would just be a flat line, when the 3rd side is as long as the other 2 combined.

so, in reality for a real, visible triangle, the range of valid values is 8 .. 16.

that is 9 positive integer values.

How many minuteds does it take to make one balloon sculpture? How many balloons are used in one sculpture

Answers

Answer:

It will take 5 minutes to make one balloon structure. 7 balloons are used in 1 sculpture For part b the answer would be: Tom's unit rate for balloons used per minute would be 1.4

Step-by-step explanation:

PLEASE HELP ME!! I NEED HELP WITH THIS

Answers

Answer: It is answer C.

Step-by-step explanation: Because of the location and angle of the line, it intersects at 9 on the y axis and 1 on the x, therefore giving you 9 over 1

Mrs. marks has to pay if she drives 300 miles. 25 + 0.30*m=

Answers

Answer:25.3

Step-by-step explanation:

Because your adding 25 to 0 and leaving the decimal point and taking away 0 from 30

Rewrite the expression using the
distributive property.
3(a + 2) + 4a
3a + 6 + 4a
Now combine like terms.
[?]a + [
Enter

Answers

Answer:

Step-by-step explanation:

Answer:

7a + 6

Step-by-step explanation:

Expand the brackets and then collect like terms. 4a + 3a = 7a

Help help help help math

Answers

Answer:

<6 = 158°

Step-by-step explanation:

we know a = 6

22 + a = 180

a = 180 - 22

a = 158

The probability that an 80-year-old male in the U.S. will die within one year is approximately 0.069941. If an insurance company sells a one-year, $12,000 life insurance policy to such a person for $495, what is the company's expectation

Answers

The company's expectation is $486.26.

Since the probability that an 80-year-old male in the U.S. will die within one year is approximately 0.069941, to determine, if an insurance company sells a one-year, $ 12,000 life insurance policy to such a person for $ 495, what is the company's expectation, the following calculation must be performed:

(12000 x 0.069941 / 100) + (495 x (100 - 0.069941) / 100) = X -8.39292 + 494.65379205 = X 486.26 = X

Therefore, the company's expectation is $486.26.

Learn more about maths in https://brainly.com/question/3554632

A nut mixture of peanuts and macadamia nuts at a small fair is $1.00 per pound of peanuts and $3.26 per pound of macadamia nuts. Over the
entire day, 131 pounds of the nut mixture were sold for $248.52. If p is the number peanuts and n is the number of macadamia nuts, then the
system of equations that models this scenario is:

p+n=131
P+3.26n = 248.52

ANSWER CHOICES:

(Please help it would mean everything to me. I’d give brainliest <3)

Answers

Answer:

D

Step-by-step explanation:

You can infer to the solution of this problem by looking at the choices. Hope this helped :)

1. Kim's age is three times that of her sister. When you add Kim's age to her sister's age, you get 48. How old is each sister? (a) Write an equation that represents the situation. Explain any variable used. (1 point) (b) Solve the equation from Part (a). Show your work. (4 points)

Answers

Answer:

3k=48

Step-by-step explanation:

k=kim's age

3k=48

/3

k=16

references on kinetic energy will give brainlist! in own words NO PLARISM!!!!!!!!!!!

Answers

Answer:

See below

Step-by-step explanation:

Kinetic energy is basically energy that an object has while it moves. For example, a ball rolling down a hill will have kinetic energy as it rolls, or a bullet shot out of a gun.

Kinetic energy is the energy acting on a moving object for example a ball when you roll it then gets kinetic energy sorry if this is wrong

You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $2.25 and each soda costs $1.50. At the end of the night, you made a total of $225.75. You sold a total of 126 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. What equations did you use to solve this? How many hot dogs were sold and how many sodas were sold?

A.
x + y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas.

B.
x + y = 126 and 2.25x + 1.50y = 225.75 ; 77 hot dogs and 49 sodas.

C.
2.25x + 1.50y = 126 and x + y = 225.75 : -283.5 hot dogs and 509.25 sodas.

D.
There is not enough information

Answers

The equations and the number of hotdogs and sodas sold are:  x+ y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas.

Two equations can be derived from this question:

2.25x + 1.50y = 225.75 equation 1

x + y = 126 equation 2

Where:

x = number of hotdogs sold

y = number of soda sold

In order to determine the value of y, multiply equation 2 by 2.25

2.25x + 2.25y = 283.50 equation 3

Subtract equation 1 from 3

57.75 = 0.75y

y = 77

Substitute for y in equation 2

x + 77 = 126

x = 49

To learn more about simultaneous equations, please check: brainly.com/question/23589883

Answer:

The correct answer is A) x + y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas

Step-by-step explanation:

hope this helps

Find
∂f
∂x
,
∂f
∂y
, and
∂f
∂z
.
f(x, y, z) = 32xyz

Answers

Answer:

what are the measurements for 1 and 2?

Step-by-step explanation:

George Washington

PLEASE HELP:
Check for understanding:

Answers

Answer:

P = 106

A = 330

Step-by-step explanation:

= 2(l+w) (perimeter of rectangle)

= 2·(18+15)

= 66

picture below of perimeter of right angle triangle

Add both values

P= 66 + 40

P = 106

= w*l (Area of rectangle)

=15·18

= 270

= ab/2 ( Area of triangle )

= 8·15/2

=60

Add both values

A = 60 + 270

A = 330

I hope it helps

SOMEONE PLEASE HELP Me . My child doesn’t understand this MaTh and THeY really need help. Take this seriously bc we really really need help y’all.

Answers

Answer:

158.4

Step-by-step explanation:

Match the verbal phrase on the left with the corresponding equation on the right. Write the letter of the answer on the space provided1.c increased by 5 is 5 2.4 more than a number is 12 3. The product of 4 and n is 12 4. The difference of 27 and k is 15 5.8 less than 3 times x is 10 6. 3 times x increased by 8 is 20 7. a number minus 8 is 3 8. three times a number is 9 9. twice a number plus 1 is 11 10.6 less than a number is 5a. 27-k=15 b. n + 4 = 12 d. 3x+8 = 20 e. k-8=3 f. 3x-8=10 g. 2x + 1 = 11 h. c + 5 = 15 i. 4n = 12 c. c-6=15 j. 3n = 9​

Answers

Answer:

See below

Step-by-step explanation:

1. c increased by 5 is 5                       ⇒ h. c + 5 = 5 2. 4 more than a number is 12           ⇒ b. n + 4 = 12 3. The product of 4 and n is 12          ⇒ i. 4n = 12 4. The difference of 27 and k is 15    ⇒ a. 27 - k = 155. 8 less than 3 times x is 10              ⇒ f. 3x - 8 = 10 6. 3 times x increased by 8 is 20      ⇒ d. 3x + 8 = 20 7. A number minus 8 is 3                   ⇒ e. k - 8 = 3 8. Three times a number is 9            ⇒ j. 3n = 9​9. Twice a number plus 1 is 11           ⇒ g. 2x + 1 = 11 10. 6 less than a number is 5            ⇒ c. c - 6 = 15

Given [tex]cot(\alpha )=-\sqrt{3}[/tex] and [tex]\pi/2 \ \textless \ \alpha \ \textless \ \pi[/tex], find the exact values of the five remaining trigonometric functions:
1. [tex]sin(\alpha )[/tex]
2. [tex]cos(\alpha )[/tex]
3. [tex]tan(\alpha )[/tex]
4. [tex]csc(\alpha )[/tex]
5. [tex]sec(\alpha )[/tex]

Answers

Immediately, by definition of cotangent, we find

tan(α) = 1/cot(α) = 1/(-√3)

⇒   tan(α) = -√3

Given that π/2 < α < π, we know that cos(α) < 0 and sin(α) > 0. In turn, sec(α) < 0 and csc(α) > 0.

Recall the Pythagorean identity,

cos²(α) + sin²(α) = 1

Multiplying both sides by 1/sin²(α) recovers another form of the identity,

cot²(α) + 1 = csc²(α)

Solving for csc(α) above yields

csc(α) = + √(cot²(α) + 1) = √((-√3)² + 1) = √4

⇒   csc(α) = 2

⇒   sin(α) = 1/2

Solve for cos(α) using the first form of the Pythagorean identity:

cos(α) = - √(1 - sin²(α)) = - √(1 - (1/2)²) = - √(3/4)

⇒   cos(α) = -√3/2

⇒   sec(α) = -2/√3

Other Questions
Finish the sentence with the given words without changing their meanings.37. Despite not speaking English well, Mai decided to live in London.Although___________________________________________________________________________38. The students arrived late because of the heavy rain.Because ____________________________________________________________________________39. My aunt really loves surfing the Internet. She can even do it all day without being tired at all. My aunt adores ________________________________________________________40. Thanks to some days off last week .I could manage a trip to Ban flowers festival in Muong Village .I had some days ________________________________________________________ 1. Read the following data regarding payroll deductions, and answer the questions that follow:Lydia: $9.50/hour, worked 20 hours this pay period Thomas: $12.50/hour, worked 40 hours this pay periodBruce: $8.50/hour, worked 30 hours this pay perioda. Using a spreadsheet program, create a payroll spreadsheet with the information above. Be sure to include proper headings.b. Add a Tax (%) column. Apply a nested IF statement to the spreadsheet to determine the percentage of taxes that needs to be deducted. For someone who makes $9.00 or less an hour, the is 5%. For someone who makes between $9.01 and $12.00 an hour, the rate is 6%. For someone who makes more than $12.01 an hour, the is 7%.c. Describe hour you generated this column. George Washington's leadership led to the end of the Revolutionary War. What kind of factor is this? Economic Military Political Social What is the value of 25 help I need help with the home work.... A pendulum has a mass of 3 kg and is lifted to a height of 0.3 m. What is the maximum speed of the pendulum Explain why we need more research about the structure and condition of the worlds ecosystem. 1. What did Mary Ellen Moffat break? The ordered pair (-3,9) is in the _______ Quadrant when is atmospheric pressure 1x10 to the power of 5 and when is it pgh Why did people domesticate plants? 1. They were more flavorful2. They were a reliable food supply3. They made it easier to migrate4. They wanted to live in a variety of environmentspls help me Which sentence best summarizes the middle of The Three Brass Pennies?A: Ah Fo accepts the magicians suggestions for wishes when his own choices fail. B: Ah Fos decision to rescue a bee from a spider web brings him great power and wealth.C: Ah Fos wish to read others thoughts teaches him how different he is from others. D: Each time Ah Fo tries to use the power of one of his wishes, he regrets his choice. question 4 algebra maths What is 6.995 to a decimal, fraction, and percent? One example of divided attention is __________. A. Stimulus B. Rehearsal C. Multitasking D. Processing Please select the best answer from the choices provided A B C D. A rock is launched from a cannon. Its height, h(x), can be represented by aquadratic function in terms of time, x, inseconds.After 1 second, the rock is 94 feet in theair; after 2 seconds, it is 176 feet in theair.Complete the height function, h(x), for this situation h(x) = Product DGH has a monthly demand of 5,000 units. Its contribution margin is $18 per unit and $36 per direct labor hour. Product RBG has a monthly demand of 4,000 units. It's contribution margin is $15 per unit and $60 per direct labor hour. If the company only has 1,500 direct labor hours available, the company should produce _______________ units of Product DGH _____________ and units of Product RBG. 4 km3 kmWhat is the length of the hypotenuse? If necessary, round to the nearest tenth.:kilometers The measure is the angles of a triangle are shown in the figure below. Solve for x What equation can be written for this graph? Pls help!!!