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

What is the value of y in the equation 4 + y=-3?
7
1
-1
-7

Answers

Answer: -7

Because if y is -7 then the equation would be 4 - 7 = -3 which is true :)

Please someone help me!! Look at picture. Also write as it expression.

Answers

Answer:hi there!that same guy did that w my question too :( i’m reporting his answers. i will help u out tho ahah. the answer is 470(32-n). i hope this helps :). have a good dayyy

Step-by-step explanation:

Select the correct answer.
What are the asymptote and the y-intercept of the function shown in the graph?

f(x) = 3(0.2)^x + 2

A. asymptote: y = -2
y-intercept: (0,5)

B. asymptote: y = 2
y-intercept: (0,5)

C. asymptote: y = 2
y-intercept: (0,4)

D. asymptote: y = -2
y-intercept: (0,3)

Answers

Answer:

B

Step-by-step explanation:

The function reaches the y-axis at the point (0,5).

The asymptote is the line that the function follows but never quite reaches. In this case, the function follows the path of y = 2. However, it never exactly fits the line.

The y-intercept is (0,5) and the asymptote is y = 2. The answer, then, is B.

Good luck ^^

The equation of the asymptote is y = 2 and the coordinate of the y-intercept will be (0, 5). Then the correct option is B.

What is asymptote?

An asymptote is a line that constantly reaches a given curve, but does not touch at any infinite distance.

The equation of the function is given below.

[tex]\rm f(x) = 3(0.2)^x + 2[/tex]

The asymptote of the function is given as by substituting x as infinity, then the equation of the asymptote will be

[tex]\rm y = 3(0.2)^{\infty} + 2\\\\y = 2[/tex]

Then the y-intercept of the function will be given by substituting y = 0, then the y-intercept will be

y = 3(0.2)⁰ + 2

y = 3 + 2

y = 5

The coordinate of the y-intercept will be (0, 5).

Then the correct option is B.

More about the asymptote link is given below.

https://brainly.com/question/17767511

#SPJ5

A scientist used a microscope to count the number of bacterial cells in a petri dish every hour.
Which function most accurately represents this data, where n is the number of bacteria and 1 is the time elapsed, in hours?
a. n=2t
b. n=2^t
c n=t^2
d. n=√t​

Answers

Answer:

a. n=2t

Step-by-step explanation:

Given that

N denotes the number of bacteria

And, 1 denotes the time elasped in hours

Now based on this, the scientist used a microscope for counting the number of bacterial cells every hour

So,the function that represent correct data is

n = 2t

Therefore the correct option is A.

The same would be considered

Find the unit rate for each, then compare. Which is faster?
8 laps in 70 seconds
12 laps in 98 seconds.

Answers

Answer:

8 laps in 70 seconds is faster.

Step-by-step explanation:

If we divide 70/8 and 98/12 we get the following:

70/8= 8.75

98/12=8.16

8.75>8.16

The unit rate is 1 lap in 8.75 seconds and 1 lap in 8.16 seconds

plz tell about congruent and similar triangles​

Answers

Similar: If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

____________________________________________________________

Congruent: SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

find the LCM lowest common multiple and the HCF highest common factor of 40 and 56

Answers

Answer:

280 and 8

Step-by-step explanation:

the LCM is the lowest common multiple

the lowest multiple that can Divide 40 and 56 without a remainder = 280

the Hcf Is the highest common factor of 40 and 56

the highest number that can Divide both =8

Plz help ASAP !!!!! Plzzz

Answers

Answer:

A box has 6 pencils. Each pencil weighs x grams. The 6 pencils weigh a combined total of 54 grams.

Step-by-step explanation:

HELPPPPPPPP 5TH GRADE MATH Select the statement that correctly describes the relationship between these two sequences: 1, 2, 3, 4, 5 and 10, 20, 30, 40, 50.

Each term in the second sequence is 10 times the corresponding term in the first sequence.
Each term in the second sequence is double the corresponding term in the first sequence.
Each term in the second sequence is 20 times the corresponding term in the first sequence.
Each term in the first sequence is double the corresponding term in the second sequence.

Answers

Answer:

Each term in the second sequence is double the corresponding term in the first sequence.

Step-by-step explanation:

pls mark as brainliest

The correct statement that describe the two sequences is:

Each term in the second sequence is 10 times the corresponding term in the first sequence.

What is an arithmetic sequence?

This is a type of sequence which have common difference between each term. It is represent mathematically as:

Tₙ = a + (n – 1)d

Where

Tₙ is the nth term

a is the first term

n is the number of terms

d is the common difference

How to determine the relationship between the sequences Sequence 1: 1, 2, 3, 4, 5 Sequence 2: 10, 20, 30, 40, 50Relationship =?

Relationship = sequence 2 / sequence 1

For the 1st term Sequence 1 = 1Sequence 2 = 10Relationship =?

Relationship = sequence 2 / sequence 1

Sequence 2 / sequence 1 = 10 / 1

Cross multiply

Sequence 2 = 10 × sequence 1

For the 2nd term Sequence 1 = 2Sequence 2 = 20Relationship =?

Relationship = sequence 2 / sequence 1

Sequence 2 / sequence 1 = 20 / 2

Sequence 2 / sequence 1 = 10 / 1

Cross multiply

Sequence 2 = 10 × sequence 1

If we continue with the pattern above, we'll discovered that

Sequence 2 = 10 × sequence 1

Thus, we can conclude that:

Each term in the second sequence is 10 times the corresponding term in the first sequence.

Learn more about arithmetic sequence:

https://brainly.com/question/16130064

The checkbook balance of Hercher Company is $1,955.81. The bank statement shows a balance of $3,142.11. The statement shows interest earned of $31.55 and a service charge of $22.80. There is a deposit in transit of $3,991.88. In further analyzing the statement it was discovered that the bank collected a note for $3,100.000. Hercher Co. forgot to deduct a check for $850 during the month. There is a check outstanding for $2,919.43. What is the reconciled balance?

Answers

Answer:

Reconciled balance $3,142.11

Step-by-step explanation:

The computation of the reconciled balance is shown below:

Debit balance as per check book $1,955.81

Add: interest earned $31.55

Collection of note $3,100

Outstanding checks $2,919.43

Less: service charges -$22.80

Less: deposit in transit -$3,991.88

Less: forgot a check -$850

Reconciled balance $3,142.11

The same would be relevant and considered too

Help Please! Find The Circumference Of A Circle With D=22.1.

Answers

Answer:

72.25663

Step-by-step explanation:

C=2πr=2·π·11.5≈72.25663

Explain, using an example, why you need to multiply when converting from a larger unit to a smaller unit

Answers

Answer:

This is often called scaling in math, used in ratios, fraction, percent's etc.

Step-by-step explanation:

Answer:

You can use similar processes when converting from smaller to larger units. When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide. Here is an example..

Find the perimeter of rectangle with length 6 inches and width 3 inches.

Answers

Answer:

18

Step-by-step explanation:

Formula

P = 2 * (L + W)

Solution

L = 6

W = 3

P = 2 (6 + 3)

P = 2 (9)

P = 18

2 Which expressions can be used to find the volume of the rectangular prism?
3 ft
5 ft
7 ft
apply.
5
35 + 5
35 x 3
(7 + 5) x3
7+3+5
35 + 35 + 35

Answers

Answer:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

In the figure below, m LMK = 26° and m KLM = 33° What is m MKJ? A. 52° B. 66° C. 59° D. 121°​

Answers

Answer:

option c

Step-by-step explanation:

first use angle sum property, then use

linear pair axiom

Answer:

D: 121

Step-by-step explanation:

Step One: To do this problem, you must understand the rule that all angles in a triangle add up to 180 degrees.

Step Two: Now that we know the rule, we know this triangle equals 180 degrees. First, we must add the angles we DO know together: 26+33= 59.  

Step Three: We can subtract 59 from 180 to find the missing angle: 180-59= 121.

plz help 5x + 2 = x – 10

Answers

Answer:

x= -3

Step-by-step explanation:

5x + 2 = x - 10

4x + 2 = -10

4× = 10 - 2

4x = -12

x= -3

I WILL GIVE U BRAINLYEST!! PLSS HELP!

The graph below represents the number of siblings each student in a class has.

what was the mean number of siblings?

Answers

The mean number of students in the class is 2.4 siblings.

What is the mean number of students?

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = total sum of siblings / number of students

[(0 x 4) + ( 1 x 4) + ( 2 x 2) + ( 3 x 8) + ( 4 x 4) ] / ( 2 + 4 + 2 + 8 + 4)

= 48 / 20 = 2.4 siblings

To learn more about mean, please check: https://brainly.com/question/25842202

#SPJ1

given the rectangular coordinates (-8,15), which of the following polar coordinate pairs represents the same point in radians?

a(17,2.65)
b(-17,-1.08)
c(12.7,2.65)
d(-12.7,-0.49)

Answers

Answer:

1. (x,y)=

2. (3, 480°), (3,-240°), (-3, -60°)

3. (-17, -1.08)

4. on the second circle from the center and 153° clockwise from the horizontal axis

Step-by-step explanation:

took quiz...100%

Un paseo tiene una longitud de 1250 km. Se quiere plantar un árbol cada 0,025 km. ¿cuantos arboles se plantaran? ¿ y si se planta un arbol cada 50 m?

Answers

Answer:

-Se plantarán 50.000 arboles.

-Si se planta un árbol cada 50 m, se plantarán 25.000 arboles.

Step-by-step explanation:

Para encontrar cuántos arboles se plantarán, tienes que dividir la longitud el paseo entre la distancia que habrá entre los árboles:

1250/0,025=50.000

Ahora, para encontrar cuántos arboles se plantarán si se planta uno cada 50m, primero tienes que encontrar cuántos kilómetros hay en 50 m considerando que 1 km es igual a 1000 metros. Para esto, puedes utilizar una regla de tres:

1 km → 1000 m

  x   ←   50 m

x=(50*1)/1000

x= 0,05 km

Ahora puedes dividir la longitud del paseo entre 0,05 para encontrar el número de arboles que se plantarán:

1250/0.05=25.000

De acuerdo a esto, la respuesta es que se plantarán 50.000 arboles.

Si se planta un árbol cada 50 m, se plantarán 25.000 arboles.

NO LINKS I will give brainliest, it’s a graph pls answer if you know how. Where are the smart people

Answers

Answer:

The answer for (a) is at the picture

(b) The vertex is (-2,7)

(c) Yes the parabola open downward

(d) -(x+2)^2+7 the turning point is at (-2,7) since it is where the group curves

Step-by-step explanation:

HELP ASAP!!! select all the descriptions that apply to the transformation!

Answers

Answer: A and B

Step-by-step explanation:

The shape is moving from right to left and down

This is confusing me please help

Answers

Answer:

It’s the last one

Step-by-step explanation:

Did this before on a test

which helps yhu find the total number of flowers

Answers

Answer:

what do you mean? is there another part of the problem?

Step-by-step explanation:

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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
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Answers

Answer:

Only the mean increased.

Step-by-step explanation:

The mean is the total divided by the number of scores, and since adding 21 will increase the total score significantly, the mean increases.

The median is still 7.

estimate each product 49.2×10.3

Answers

Your answer is 506.76 for 49.2 times 10.3

Help ASAP Pls! 20 points!
Use a minimum of two sentences to describe the process for writing the ln(x)=5 in exponential form.

Answers

Answer:

In explanation

Step-by-step explanation:

ln(x) = 5

log (base e) x = 5

exponential form is e ^ 5 = x

you should be able to generate 2 sentences from here, hope it helps!

pls help and show work i am screwed if i don’t do well on this

Answers

Answer:

x = - 2

Step-by-step explanation:

The axis of symmetry passes through the vertex, is a vertical line with equation equal to the x- coordinate of the vertex, that is

equation of axis of symmetry is x = 1

The zeros are equidistant from the axis of symmetry, on either side

x = 4 is a zero and is 3 units to the right of x = 1, so

3 units to the left of x = 1 is 1 - 3 = - 2

The other zero is therefore x = - 2

Can someone explain why the answer is False. Will Mark brainliest.

Answers

Answer:

Supplementary Angles are 180 degrees. A triangle has 180 degrees. One angle is already 90 degrees, so 2 more angles with 180 degrees is impossible.

Step-by-step explanation:

Function f is a quadratic function passing through the points (-4,0),(0,–12) and (3,0). Function g is modeled by the graph. Over which interval are both functions negative? ​

Answers

Answer:

Open points on 1 and 3 with ray connecting them

Step-by-step explanation:

Because it's right.

Answer:

Step-by-step explanation:

Two thirds of the money in my pocket is 50 cents. a, what is one third of the money in my pocket​

Answers

Answer:

25 cents

Step-by-step explanation:

1.) Set up an equation you can solve from the wording of the question:

(2/3)*m = 50, where "m" represents the money in your pocket.

2.) Solve for that equation:

m = 50*(3/2) = 150/2 = 75, so now you know the money you have in your pocket is 75 cents

3.) Multiply the money you have in your pocket by 1/3 to find 1/3 of the money you have in your pocket:

75*(1/3) = 25

Other Questions
One afternoon, Stefan was walking home from the park. He had been playing baseball with is friends. Stefan was remembering a great catch he made when he heard a strange noise above him. He looked up and saw a cat stuck in a tree! Stefan thought for a minute. It looked Mrs. Nelson's cat. She would be upset if it got hurt. He could not reach the lowest branch. "Come on, kitty," Stefan called. "Come down from that tree. I'll catch you." The cat just sat there. Stefan tried calling again, but nothing. He turned around to see if anyone was coming by, when the cat decided to jump. Before Stefan could put his arms out to catch it, the cat landed on his shoulder. "Oh, you sweet boy!" Mrs. Nelson called. "You saved my cat! Stefan, you are my hero today!" "It was nothing," Stefan grinned. He sure didn't feel like a hero, but why not enjoy this for a while?Which of the following best summarizes the story?Mrs. Nelson called Stefan a hero after her cat jumped from the tree without any help. 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Home-hopping wasn't fun. . She had been in what? Three homes in the past year? She tried to be good, be the best. But she obviously wasn't good enough. she must have done something wrong. Something must have made them not want her. She just didnt know why she wasn't good enough. She fiddled with her name tag, which read Aria, or it was supposed to, it actually spelled Area. Sighing again she tried for a more vocal approach."Ahem." She raised an eyebrow, trying to hide the sour sting in her heart. the caseworker finally looked up "What? You hungry? Thirsty?" She shook her head after a second "Just sit still, we will have you relocated soon enough." Relocated? Was she a dog? "I was just gonna ask why i have to leave another house." The caseworker sighed "Because of...Difficulties." Aria frowned thats all they ever said. "difficluties." She hadn't relized she said it out loud until the caseworked sighed louder than she had before. "Listen, it just didn't work out. 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