Solve the equation.
[tex] {3}^{4(m + 1)} + {3}^{4m} - 246 = 0 \\ [/tex]

Answers

Answer 1

[tex]3^{4m+4}+3^{4m}=246\\ (3^{4}+1)*3^{4m}=246\\82*3^{4m}=246\\3^{4m}=3\\m=\frac{1}{4}[/tex]

Answer 2
You group them since they have the same base (3). (3^4+1)*3^4m since they have almost the similar characters (ex. 3^4(m+1) is 3^4m+4). In the brackets we get (81+1) since 3^4 is 81, then we do the sum in the brackets (81+1) is 82 multiplied by 3^4m. Then we divide both sides with /82. 82/82 is one, 256/82 is 3. Since 3^4m and 3^1 have the same bases we just use 4m=1 where we get that m is 1/4.
Solve The Equation.[tex] {3}^{4(m + 1)} + {3}^{4m} - 246 = 0 \\ [/tex]

Related Questions

find the surface area to the nearest tenth

Answers

Step-by-step explanation:

Surface Area of Figure = Area of 4 triangular sides + Area of Base

=

[tex]4 \times ( \frac{1}{2} \times base \times height) + (length \: \times \: width) \\ = 4 \times ( \frac{1}{2} \times 10 \times 12.1) + (10 \times 10) \\ = 4 \times 60.5 + 100 \\ = 242 + 100 \\ = 342 {yd}^{2} [/tex]


How deep is the water 31.5 feet from the shore? 05
(10 Points)

Answers

Answer:

This is impossible to answer, unless there is a picture that is not there.

Step-by-step explanation:

An experiment was performed to test whether caffeine in Coca-Cola would improve performance on an intelligence test. One randomly chosen group of subjects was given an 8 oz. cup of Coca-Cola containing caffeine to drink 10 minutes before taking the intelligence test. Another randomly chosen group was given an 8 oz. cup of decaffeinated Coke to drink 10 minutes before taking the test. Neither group had any food or drink for three hours before the experiment began. What are the levels or conditions of the independent variable

Answers

Answer:

8 oz of cocacola drink containing caffeine

8 oz of Decaffeinated Coke

Step-by-step explanation:

Th independent variables is that variable which causes a change in the output or the dependent or response variable. In the scenario described above, the type of drink Given to the participants is the independent variable

The Independent variable is the type of drink Given to the subjects with two levels ;

Levels :

cocacola drink containing caffeine

Decaffeinated Coke

Therefore, we can conclude that, there are two levels Of the jndependent variable, which are stated above.

Find the value of the variables in the simplest form

Answers

Answer:

Step-by-step explanation:

Answer:

x = 15[tex]\sqrt{3}[/tex] , y = 15

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and the exact values

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos60° = [tex]\frac{1}{2}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{30}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 30[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 15[tex]\sqrt{3}[/tex]

---------------------------------------------------------

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{30}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 30 ( divide both sides by 2 )

y = 15

A tub contained 80 gallons
of water. The water drained from
the tub at a rate of 5 gallons every 4
minutes. At this rate, how many
minutes did it take
for all the water to
drain from the tub?

Answers

Answer:

its 64 because 4x16= 64

Step-by-step explanation:

Can you please help me with this question I keep getting the wrong answer

Answers

Answer:

14

Step-by-step explanation:

If the two equations in a system of linear equations are added and the results is 9x=0 the system has no solution

Answers

Answer:

0

Step-by-step explanation:

HOPE I HELPED!

Please help me guys, do not give me the wrong answer please explain it to me please, please.

Answers

Answer:

Where is ur question??

plss put ur question I will give correct answer

PLS hurry!! I'LL MARK BRAINLIEST!

Answers

Answer:

A. 5+x-12=2x-7

-7+x+2x-7

x=2x

x-2x=0

-x=0-> x=0

B.

when X=-0.5

5+(-0.5)-12=2 (-0.5)-7

-7.5=-8 (answer does not work)

when X=0

5+0-12=2(0)-7

-7=-7 (answer works)

when x=1

5+1-12=2(1)-7

18=-5 (answer does not work)

Step-by-step explanation:

Answer:

[tex]x=0[/tex]

Step-by-step explanation:

A) From this case you would need to narrow down the whole equation...

Like this: [tex]5+x-12=2x-7[/tex]  →  [tex]x-7=2x-7[/tex]  →  [tex]x=0[/tex]

B) To prove that one of these numbers solve the equation, we would have to check it ourselves.

Like this: [tex]5+(-0.5)-12=2(-0.5)-7[/tex]  →  [tex]-7.5=-8[/tex] (SO THIS WON'T WORK)

[tex]5+0-12=2*0-7[/tex]  →  [tex]0=0[/tex] (THIS WORKS!)

[tex]5+1-12=2(1)-7[/tex]  →  [tex]-6=-5[/tex] (NOR DOES THIS WORK)

Therefore: [tex]x=0[/tex] will work to solve the equation correctly

Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for

a food drive. He wants each bag to have the same amount of pasta and sauce and

wants to use all of the items.

Use the drop-down menus to complete the statements below about the number of

bags Cesar can make.

CLEAR

CHECK

The greatest number of bags Cesar can make is

Each of these bags will have

boxes of pasta and

jars of sauce.

If he made fewer bags,

He could use

bags, but this is not the greatest number he could use.

Answers

Calcualte the ratio 32/48=2/3

What is the quotient of 905.8 and 0.2?​

Answers

Answer: 4529

Step-by-step explanation:

Hope it helps Have a good Day

Just divide it

The temperature at the beginning of the day was 6 degrees F. The temperature dropped 9 degrees F by the end of the day. What was the temperature at the end of the day?​

Answers


The answer would be -3 degrees because if you have 6 and you minus 9 you will get -3

Temperature is an average measure of the kinetic energy of particles of matter.

Temperature can be in negative degrees.

The temperature at the end of the day is -3°F.

What is temperature?

Temperature is an average measure of the kinetic energy of particles of matter.

The Celsius scale is generally used for measuring most temperatures.

The Fahrenheit (°F) temperature scale is also used.

We have,

The temperature at the beginning of the day = 6°F

The temperature drop by the end of the day = 9°F

Temperature can also be in negative degrees.

The temperature at the end of the day:

= 6°F - 9°F
= -3°F

Thus the temperature at the end of the day is -3°F.

Learn more about temperature here:

https://brainly.com/question/11464844

#SPJ5

Mr. D. decided to invest $2,500 into a share of his friend's company because his
friend guaranteed that his money would increase at a rate of 14% every month.
How much money should Mr. D have after 7 months?

Answers

Starting from $2,500 (using that as the first month), it would go like this:
2,500 -> 2,850 -> 3,249 -> 3,703.86 -> 4,224.4004 -> ~4,813.54 -> 5,487.43

Answer $5,487.43

Explanation: multiply 2,500 by 1.14 seven times.

Write an expression to show the following:“Fourteen more than the product of nine and a number”

Answers

14(9•x) X would be the variable, aka the number.

Mr. Smith's class took a test! The scores of one group are listed below.

70, 60, 80, 85, 90

What is the mean absolute deviation of the data set?

Answers

Answer:

B

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

add them all together and then divide by 5

Which point is a solution to the inequality in this graph

Answers

Given:

The graph of an inequality.

To find:

The point which is a solution of the given graph of inequality.

Solution:

From the given graph it is clear that the boundary line of the graph is a dotted line. It means the points lie in shaded region are in the solution set but the points on the line are not included in the solution set.

The points (3,2) and (-3,-6) are lie on the boundary line. it means they are not the solution of the inequality represented by the given graph.

Point (5,0) lies on the positive x-axis at the distance of 5 units from the origin and it doesn't lies in the shaded region. So, (5,0) is not a solution.

Point (0,5) lies on the negative y-axis at the distance of 5 units from the origin and it lies in the shaded region. So, (0,5) is a solution.

Therefore, the correct option is B.

simplify this (√7+√3)²​

Answers

(√7 + √3)^2
(√7)^2 + (√3)^2
7 + 3
10

Solve the system of equations below.

Answers

I know this doesn’t answer the question but that is what my work looks like and was wondering if you are doing virtual because I thought it was only my county doing this system

To stream Netflix without major interruptions, the desired internet speed should be 75 Mbps. However, network traffic can affect the internet speed. The speed varies by 2 Mbps.Create an absolute value equations that can determine the maximum and minimum internet speeds.What are the maximum and minimum internet speeds?

Answers

Answer:

See, this is what i do not get. equations like this. People now in days would just by faster internet speed. Why would we need to know this if  we will never ever get to use this in our life. Also you could just call the internet cable person. This makes absolutely no since at all. Also who even uses Netflix anymore?

Step-by-step explanation

Which expression is equivalent to 7(a+2) when a= 6?
O 7(6)
916)
0 7(6)+2
7(6)+ 14

Answers

Answer:

when a = 6, substitute 6 in the equation for a:

7(a + 2) = 7(6)+ 14

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

When a = 6

7(a+2)

7(6+2)

7(8)

56

OK IF YOU KNOW THE ANSWER PLEASE TYPE IN COMMENTS!
Timothy has 2 turtles named Buster and Bubbles. Buster is 75 millimeters long and Bubbles is 6 centimeters long. Buster is longer. Is this true or false?

Group of answer choices

1.True

1.False

Answers

Answer: True

Explanation:

1 centimeter = 10 millimeters

Buster = 75 millimeters long

Bubbles = 60 millimeters long

It’s number one I got you my guy.

help me please ...........with this work
I'm trying my best to figure out how to do this so if someone can help me with the right answer please help me

Rewrite y = x2 + 2x - 1 into vertex form.
y=(x+1)2−2 Use x = - b\2a to find the vertex (h, k).

Substitute a, h, and k into y = a(x - h)2 + k:
2a(x-h)+k 2ax-2ah+k

Answers

Answer:

Vertex form is: y = ( x + 1 )^2 − 2

Step-by-step explanation:

I'm not sure about the substitution part.

Here is my question.

Answers

Answer: True False True true

Step-by-step explanation:

Answer:

true

false

true

true

Step-by-step explanation:

which is the best estimate for 7/8 4/9

pls helpp anyways tiktok- kamii_;/

Answers

Answer:

7/8 if u want more if u want less then it 4/9

Step-by-step explanation:

Look at the number line below. Tyhe number 2 is between 1 and 4 since 1 =1 and 4=2, that means that 2 must be between what two integers?

Answers

Answer: i dont know

Step-by-step explanation:


City 1
New Orleans, Louisiana
New Orleans, Louisiana
New Orleans, Louisiana
New Orleans, Louisiana
City 2
Washington, DC
Nashville, Tennessee
Seattle, Washington
Shreveport, Louisiana
Approximate Distance Between cities
2 x 106 meters
9 x 105 meters
4 X 106 meters
5 x 105 meters
Add
1. What is the combined distance that you would travel if you completed a roundtrip from New Orleans, Louisiana,
to Washington, DC, and a roundtrip from New Orleans, Louisiana, to Seattle, Washington? Write your answer in
scientific notation.

Answers

random question they gave me that i’m not answering have a good day

A circular flower bed is 16m in diameter and has a circular sidewalk around it that is 3 m wide. Find the area of the sidewalk in square meters. Use 3.14 for pi .

Answers

Answer:

[tex]178.98\ \text{m}^2[/tex]

Step-by-step explanation:

d = Diameter of flower bed = 16 m

Thickness of sidewalk = 3 m

r = Radius of flower bed = [tex]\dfrac{d}{2}=\dfrac{16}{2}=8\ \text{m}[/tex]

R = Radius of flower bed with sidewalk = [tex]8+3=11\ \text{m}[/tex]

The required area is given by

[tex]A=\pi(R^2-r^2)\\\Rightarrow A=3.14\times (11^2-8^2)\\\Rightarrow A=178.98\ \text{m}^2[/tex]

The radius of the sidewalk is [tex]178.98\ \text{m}^2[/tex].


BRAINLY TO WHOEVER HELPS AND GETS IT RIGHT

~no links pls~

Answers

Answer:

the answer is C

Step-by-step explanation:

BABYSHARK

Answer:

I think its c?

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

What is 14 + 6 =
+11

Answers

Since, 14 + 6 = 20

Therefore, 14 + 6 = 9 + 11

dont forget to like and mark me

Answer:

31

Step-by-step explanation:

Use the table to determine a reasonable estimate for limStartFraction 2 x squared minus x + 15 Over x cubed minus 5 x minus 12 EndFraction as x approaches 3? One-half One-fourth 3 DNE

Answers

The reasonable estimate for limStartFraction 2 x squared minus x + 15 Over x cubed minus 5 x minus 12 EndFraction as x approaches 3 is [tex]\dfrac{1}{2}[/tex]

Given the limit of a function expressed as:

[tex]\lim_{x \to 3}\frac{2x^2-x+15}{x^3-5x-12}[/tex]

First, we need to substitute x = 3 into the function to have:

[tex]=\frac{2(3)^2-3+15}{3^3-5(3)-12}\\=\frac{18-3+15}{27-15-12}\\=\frac{0}{0} (indeterminate)[/tex]

Apply l'hospital rule on the function:

[tex]=\lim_{x \to 3}\frac{\frac{d}{dx} (2x^2-x+15)}{\frac{d}{dx} (x^3-5x-12)}\\=\lim_{x \to 3}\frac{4x-1}{3x^2-5}\\[/tex]

Subtitute x = 3 into the result

[tex]=\frac{4(3)-1}{3(3)^2-5}\\=\frac{12-1}{27-5}\\=\frac{11}{22}\\=\frac{1}{2}[/tex]

Hence the reasonable estimate for limStartFraction 2 x squared minus x + 15 Over x cubed minus 5 x minus 12 EndFraction as x approaches 3 is [tex]\dfrac{1}{2}[/tex]

Learn more here: https://brainly.com/question/23935467

Answer:

1/2

Step-by-step explanation:

i am in your walls

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