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

please i need help with this

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Answer:

1.) Smith

2.) Johnson

Answer:

Step-by-step explanation:

When will Road to a killcam 100 come out?

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Answer:T he first season of Black Ops Cold War has been underway for almost a month now. The game has been having great success since it released back in November. One aspect of the multiplayer that a lot of players were disappointed with, was the lack of a final killcam.

Step-by-step explanation:

Answer:

The final Killcam is a Call of Duty staple. Every player in the game can see who got the final elimination of the game, and how they did it. The randomness is part of the fun; sometimes you’ll see an insane 360 Tomahawk kill, or you can have a good laugh at someone missing all of their shots before finally getting the elimination.

However, Black Ops Cold War has opted for a ‘Best Play’ system. Most of the time, you’ll see someone get a multi-kill from some point in the match. While you do often see impressive plays, the fun randomness element is mostly taken out and this has had a negative impact on Search and Destroy.

A Treyarch developer has now confirmed that they will be adding the final Killcam system to Cold War’s S&D in the future.

plot (-7,0) on a graph

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Answer:

To go to (-7,0) on a graph on the x axis go to the left 7 times and plot your point

Step-by-step explanation:

[tex] \: \: \: \: [/tex]

To plot (−7,0) , start at the origin (0,0) and move left 7 units and up 0 units. To plot (7,0) , start at the origin (0,0) and move right 7 units and up 0 units.

hope it helps

Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-3, 1) and point (4, 2) rounded to the nearest tenth?

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Answer:

√(4 - ( - 3))^2 + (2 - 1)^2

√(4 + 3)^2 + (2 - 1)^2

√49 + 1

√50

7.07 = 7.1 units

You have a Right Triangle with side lengths of 9ft and 12ft; solve for its perimeter and area.

Answers

Step-by-step explanation:

of course, we have to use Pythagoras.

c² = a² + b²

c is the Hypotenuse = the side opposite of the 90° angle.

and here is the problem : are 9 and 12 the legs. or is one of them the Hypotenuse ?

I don't know from the description.

let's see what we get one way or the other :

assumption : the known sides are the "legs".

c² = 9² + 12² = 81 + 144 = 225

c = 15 ft

that is a nice number. so, it looks like that was the intention.

just to be sure, here also the other options :

9² = 12² + side²

81 = 144 + side² that makes side² negative, so, not valid.

12² = 9² + side²

144 = 81 + side²

63 = side²

side = sqrt(63) this is not a nice round number, so, we go with the first option.

therefore, the 3 sides are

9 ft, 12 ft, 15 ft

perimeter = 9+12+15 = 36 ft

area = baseline×height/2

since this is a right-angled triangle, the "legs" with the enclosed 90° angle serve as baseline and height.

area = 9×12/2 = 9×6 = 54 ft²

Function 1 is defined by the equation y=-1/4r-5

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Step-by-step explanation:

and what is function 2 ?

but I think I can risk a guess based on the little piece of the graph I can see.

the y-intercept is simply the point on the y-axis (that means x=0), where the line crosses.

in other words, it is the y-value when x = 0.

the y-intercept of function 1 is therefore -5.

and the picture suggests that the visible line would cross the y-axis at about y=-6.

as -5 is greater than -6, function 1 has the greater y-intercept.

72 is 45% of what number?

Answers

Answer:

160

Step-by-step explanation:

we have, 45%×x = 72

or, 45÷100×x = 72

multiplying both side by 100 and diving both side by 45,

we have x= 72×100÷45

x= 160 ANSWER

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 answer it....

If [tex]a\ \textless \ b[/tex], there are three ordered pairs of positive integers [tex](a,b)[/tex] that satisfy [tex]a^{2}+b^{2}=10(123)^{2}[/tex] If two of these ordered pairs are [tex](39,387)[/tex] and [tex](201,333)[/tex]. What is the third such ordered pair?

Answers

The third ordered pair that satisfy the given equation is (123, 369).

The given parameters;

[tex]a^2 + b^2 = 10(123)^2[/tex]First pair of the equation, = (39, 387)Second pair of the equation = (201, 333).

The third ordered pair of the equation can be determined by using general equation of a circle;

[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]

The radius of the circle is calculated as;

[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]

The value of a can be obtained by randomly choosing numbers less than the radius as values of b.

[tex]b < r\\\\b < 388.96[/tex]

[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]

Thus, the third ordered pair that satisfy the given equation is (123, 369).

Learn more about equation of circle here: https://brainly.com/question/1506955

True or false is 6x10^5 is 20 times as much as 3x10^4

Answers

answer

TRUE

HOPE IT WILL HELP YOU

work out the surface area of this solid prism

Answers

Answer:

5220

Step-by-step explanation:

1- 20x36/2 is 360

(360 x 2 is 720)

2. 25x50 is 1250

3. 29x50 is 1450

4. 36x50 is 1800

720+1250+1450+1800 is 5220

find the x and y intercepts of the following linear function and draw the graph: 2x-8y=-18

Answers

Answer:

Step-by-step explanation:

2x - 8y = - 18

    - 8y = - 2x - 18

         y = ¼x + 2¼

y intercept occurs when x = 0, so b = 2¼  (0, 2¼)

x intercept occurs when y = 0

0 = ¼x + 2¼

¼x = - 2¼

  x = -9     (-9, 0)  

THE LENTH OF A RECTANGLE IS 6 CM AND ITS AREA IS (6XPLUS18) SQUARCM WRITE A EXPPRESIONFOR THE WIDTH

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[tex]\textit{area of a rectangle}\\\\ A=Lw ~\begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ L=\stackrel{cm}{6}\\ A=\stackrel{cm^2}{6x+18} \end{cases}\implies 6x+18=6w \\\\\\ \cfrac{6x+18}{6}=w\implies \cfrac{6x}{6}+\cfrac{18}{6}=w\implies x+3=w[/tex]

solve the equation 5-x=8

Answers

Answer:

x = -3

Step-by-step explanation:

1. 5 - x = 8

2.   +x    +x

3. 5 = x + 8

4. -8       -8

5. x = -3

Rearrange the terms
5 - x = 8
-x + 5 = 8


Subtract 5 from both sides
-x + 5 = 8
-x+5-5 = 8-5

subtract the numbers ( simplify )
-x = 3


divide both sides
-x = 3
-x/-1 = 3/-1


simplify
x = 3/-1
x = -3





So therefore, your answer is x = -3

Which sentence is punctuated correctly? Finally Juno, and her satellite were able to return home to her family. Finally Juno and her satellite were able to return home to her family. Finally Juno and her satellite, were able to return home to her family. Finally, Juno and her satellite were able to return home to her family.

Answers

Answer:

Finally, Juno and her satellite were able to return home to her family.

Step-by-step explanation:

Answer:

Finally, Juno and her satellite were able to return home to her family

Step-by-step explanation:

-
Point K is on line segment JL. Given JK = 3 and KL = 8, determine the length
JL.

Answers

Answer:

JL = 11 units

Step-by-step explanation:

Add the units between JK and KL together to get the answer for JL

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

The equation y = 1/4x represents a proportional relationship. What is the constant of proportionality?​

Answers

Answer:

The constant of proportionality is k=1/4

Step-by-step explanation:

For the equation y=kx, y varies directly with x with the constant of proportionality k. Therefore, k=1/4 is the answer.

What is the solution for x in the equation
-4+5x-7=Okay 0+3x-2x

Answers

Answer:

X = 2.75 or 2 3/4 in fraction form

Step-by-step explanation:

We know that the variable X has to make both equations equal.

It is really just crossing out the options.

2.75 can fit in the X variable because if 2.75 was in both equations, the answer would be the same.

So the answer is 2.75

Hope this helps! :)

૮ ・ﻌ・ა

The heights of NFL football players are approximately normally distributed with a mean of 71.5 inches and a standard deviation of 2.3 inches. The middle 75% of all NFL players have heights between
(A) 68.9 inches to 76.1 inches
(B) 69.2 inches to 73.8 inches
(C) 68.9 inches to 74.1 inches
(D) 66.9 inches to 76.1 inches
(E) None of the above give an accurate interval

Answers

Answer:

I would say B

Step-by-step explanation:

I'm sorry, I don't have an explanation

The middle 75% of all NFL players have heights between in (A) 68.9 inches to 76.1 inches.

What is Standard score?

It is the representation of a data value in terms of distance from standard deviation from the mean. It is also called z-score.

It measures how many standard deviations the measure is from the mean. After finding the z-score, we have to look at the z-score table and then the p-value associated with this z-score, which is the percentile of X.

Given that Mean = μ = 64.4 inches

Standard Deviation = σ = 2.3 inches

We have to find the standard score for players height;

So, Let x = 75% = 0.75

Therefore the formula for z-score is:

x - mean / S.D

0.75 = x - 71.5/2.3

x = 76.10

Rounding off to nearest hundredth

z-score = 76.1

Hence, The middle 75% of all NFL players have heights between in

(A) 68.9 inches to 76.1 inches.

Learn more about z-score at:

brainly.com/question/10940255

#SPJ2

pythagorean theorem to find the length of the hypotenuse in the triangle 16 30

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Answer:

the answer is 34.

Step-by-step explanation:

what is the value of the 6 in 26,249?

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Answer:

what is the value of the 6 in 26,249?

answer:321305

Step-by-step explanation:

Simplify the expression
3+4·10 – 8

Answers

Answer:

35

Step-by-step explanation:

one word: PEMDAS. technically they are all a bunch of words but whatever...

P: parentheses

e: exponents

m: multiply

d: divide

a: add

s: subtract

first we multiply 4*10 since that's first on the list

4*10=40

we have

3+40-8

then we add

3+40

which is 43

then we subtract 8 from it as we have 43-8

which is in the end:

35

35

Step by step equation

find the mean of 90 100 100​

Answers

Answer: 100

Step-by-step explanation:

[tex]\frac{90+100+110}{3}=\boxed{100}[/tex]

Find the area of a rectangle that is 7 cm long and 3 cm wide. You can use the tool to help you solve.

Answers

Answer:

21

Step-by-step explanation:

The answer is 21 because for finding the area you have to multiply, 7 and 3.

Multiply 7 and 3 you get 21.

Hope this helps :)

Answer:

21

area is equal to length X height. 7 X 3 = 21

PLEASE HELP I WILL GIVE BRAINLEST AND 20 POINTS PLEASEEEE

Answers

Answer:

Question 4: Which equation is parallel to the above equation and passes through the point (35, 30)

[tex]y=[/tex] [tex]\frac{5}{7} x + 5[/tex]  is the correct answer, I found this by inputting the x and y value of the coordinate (35, 30) onto the equation and solving for y-intercept since the slope of all equations is the same (since it's traveling parallel)

[tex]30 = \frac{5}{7} (35) + y\\30 = 25 + y\\5 = y[/tex]

so the equation would be [tex]y=[/tex] [tex]\frac{5}{7} x + 5[/tex]

Question 5: Which equation is perpendicular to the above equation and passes through the point (35, 30)

[tex]y=\frac{-7}{5} x+79[/tex] is the correct answer, I found this using the same method as before, input coordinate values into the equation and solve for the y-intercept (The only thing changed from the last answer is the opposite reciprocal slope).

[tex]30 = \frac{-7}{5}(35) + y \\30 = -49 + y \\79 = y[/tex]

so the equation would be [tex]y=\frac{-7}{5} x+79[/tex]

The functions r and s are defined as follows.
r(x) = - 2x-1
s(x)=x2-1
=
Find the value of r(s (3)).

Answers

Answer:

r o s(3)=?

s(x)= x²-1

x=3

s(3)= 3²-1

s(3)= 9-1

s(3)=8

r(8)

r(x)= -2x-1

x=8

r(8)= -16-1

r(8)= -17

r(s(3))= -17

two functions are shown below.
f(x)=4^x-62
g(x)=x^2-2x+5

evaluate g(-2)+f(3)

Answers

Answer:

...

Step-by-step explanation:

The car arrives from city A to city B in 3 hours. How many hours will it take to go the same way if you increase the speed by 20%?

Answers

Given :-

The car arrives from city A to city B in 3 hours.Speed is increased by 20% .

To find :-

The new time taken .

Solution :-

Let us assume the distance between A and B be x and the initial speed by y . After 20% increase in the speed , new speed will be ,

[tex]\blue{\dashrightarrow} [/tex] Speed = 120y/100

[tex]\blue{\dashrightarrow} [/tex] Speed = 6/5y

• According to the Question ,

[tex]\red{\dashrightarrow} [/tex] Distance = Speed * Time

[tex]\blue{\dashrightarrow} [/tex] x = y * 3 hrs

[tex]\red{\dashrightarrow} [/tex] x = 3y

And ,

[tex]\blue{\dashrightarrow} [/tex] t = Distance/Speed

[tex]\red{\dashrightarrow} [/tex] t = x ÷ (6y/5)

[tex]\blue{\dashrightarrow} [/tex] t = 5x/6y

[tex]\red{\dashrightarrow} [/tex] t = 5 (3y)/6y

[tex]\blue{\dashrightarrow} [/tex] t = 5/2 hrs

[tex]\red{\dashrightarrow} [/tex] t = 2.5 hrs

Hence now it will take 2.5 hrs to go from A to B .

Answer:

Step-by-step explanation:

Let's say the distance between A and B is 3 miles (3, because I see a need to divide the distance by 3 hours to determine the car's speed).  The actual distance makes no difference in the answer, since it is asking for a relative speed change (20%).

We find the speed to be 3 miles/3 hours, or 1 mph.  A 20% increase in speed would be (1.20)(1) = 1.20 mph.

We can find the time for a 1.2 mph car to go 3 miles by:

(3 miles)/(1.2 mph) = 2.5 hours

=====

[Note that if we assumed a different distance, say 6 miles, we'd get the same result:

6 miles/3 hours = 2 mph

1.2*2 = 2.4 mph

New time = 6/2.4 = 2.5 hours; same as before]

Volume of the pedestal box

Answers

Answer:

112 in.³

Step-by-step explanation:

This box is a combination of two rectangular prisms:

bottom - 9 in. by 2 in. by 4 in.

top - 5 in. by 2 in. by 4 in.

total volume = 9 in. × 2 in. × 4 in. + 5 in. × 2 in. × 4 in.

total volume = 112 in.³

Answer:

its 112

Step-by-step explanation:

first see how it looks like 2 boxes on top of each other, break it into major parts then multiply depth by wighth by highth