solve the equation
4(2^m+1)-16^m=0​

Answers

Answer 1
m=2
That’s the answer
Answer 2

[tex]\\ \rm\longmapsto 4(2^m+1)-16^m=0[/tex]

[tex]\\ \rm\longmapsto 8^m+4-16^m[/tex]

take 4common

[tex]\\ \rm\longmapsto 4(2^m+1-4^m)=0[/tex]

[tex]\\ \rm\longmapsto 2^m-4^m+1=0[/tex]

[tex]\\ \rm\longmapsto 2^m=4^m[/tex]

[tex]\\ \rm\longmapsto 2^m=2^{2^m}[/tex]

[tex]\\ \rm\longmapsto 2^m=m[/tex]

[tex]\\ \rm\longmapsto m=\dfrac{1}{2}[/tex]


Related Questions

Solve the equation for y. Then find the value of Y for each value of X.

y+7x=9;x=-1,0,2

y=?
x=?

(help i hate this math hw)

Answers

Answer:

y=9-7x

If x= -1, y=16

If x= 0, y=9

If x=2, y= -5

Step-by-step explanation:

Because you are solving the equation for y, you want to have y by itself on one side. The only way to do that in this problem is by subtracting the 7x on both sides.

y+7x=9

-7x -7x ---> y=9-7x

The next part of the question says to find the value of Y for each value of X. Using the given X values, we plug them into the equation we just got in order to find Y.

y=9-7(-1) ----> y=16

y=9-7(0) ----> y=9

y=9-7(2) ----> y=-5

XY=32, YZ=7d, and XZ=74

Answers

The value of d = 6 and the value of YZ = 42

Since XY=32, YZ=7d, and XZ=74

Based on this question, it should be noted that the addition of XY and YZ will equal to the value of XZ. Therefore,

XY + YZ = XZ

32 + 7d = 74

Collect like terms

7d = 74 - 32

7d = 42

Divide through by 7

7d/7 = 42/7

d = 6

Since d is 6, the value of YZ will be:

= 7d = 7 × 6 = 42

In conclusion, the value of d = 6 and the value of YZ = 42.

Read related link on:

https://brainly.com/question/24475076

Find the value of 5u+3 given that -3u-1=8.
Simplify your answer as much as possible.

Answers

Answer:

u=6

Step-by-step explanation:

5u+3=-3u-1=8

COMBINE LIKE TERMS(so 5u and -3u and then combine your positive 4 and your negative 1 then bring down your 8

2u-4=8

opposite inverse so add 4 to 8

2u=12

divide 2 into 12

u=6

so your final answer is 6.

2/5 (z+ 1) = y for z

Answers

Answer:

z = 5y/2 - 1

Step-by-step explanation:

Solve for  z

by simplifying both sides of the equation, then isolating the variable.

Dad is getting food ready for my birthday party! Including me, there will be 16 people at the party. Dad is baking cookies for us! He can bake 20 cookies per batch.

How many batches should I tell Dad to make so we can each have 3 cookies?

Answers

the answer is 3 batches, turn it into a decimal if you need too.

Answer:

3 batches but you will have some left over

Step-by-step explanation:

You start a travelling car wash service. You spend $30 on supplies and plan to charge
$6 for each car you wash. Which of the following equations could be used to find your
profit based on the number of cars you wash?
O y = 6x - 30
O y = 6x
O y = 6x + 30

Answers

Answer:

y= 6x - 30

Step-by-step explanation:

First yu would take the 30 dollars you spent then you will subtract 6 times  how many cars you have done.

please help me please ​

Answers

answer:

sorry i don't know the answer but are you an army ?

please help me with this math is for my math homework​

Answers

Answer:

that answer is (1)

hope that helps you

9514 1404 393

Answer:

  1

Step-by-step explanation:

You can put either number in the form of the other to see they are equal. A number divided by itself gives a quotient of 1.

  -1 1/10 = -(10·1 +1)/10 = -11/10 . . . . . matches the denominator

or

  -11/10 = -1 1/10 . . . . . matches the numerator

__

  (-11/10)/(-11/10) = 1 . . . . your quotient

_____

Additional comment

Here, we see that both numbers in the problem are negative, so we have an even number of minus signs. That means the quotient will be positive. Knowing this lets us eliminate the minus signs from the problem.

As you may know, there are a couple of (fully equivalent) ways to divide fractions.

1) "invert and multiply" or "dot swap"

  (11/10) ÷ (11/10) = (11/10) · (10/11) . . . . . . . the denominator has been inverted

  = (11·10)/(10·11) = 110/110 = 1

2) use the numerators when the denominators are equal.

  (11/10) / (11/10) = 11/11 = 1 . . . . denominators of the fractions are both 10

How does this work please explain clearly :) also 25 points

Answers

how does what work, you didn’t attach a photo or give choices…

if U = {1,2,3,10},A={2,4,6,8,10}and B={3,6,9}
,find AUB​

Answers

Answer:

AUB = {2,3,4,6,8,9,10,12}

Line R is represented by the equation `y=-2x+7`and Line Z is represented by the equation `y=3x-3`. At what point will line R and line Z intersect?

Answers

Answer: (2,3)

Steps:
-2x+7=3x-3
7+3=3x+2x
10=5x
X=2

Y= 3x-3
Y= 3*2 - 3
y= 6-3
Y= 3

the perimeter of a triangle is 14x - 4. if two sides measure 3x - 2 and 5x + 3, then how long is the third side?

Answers

Answer:

6x-5

Step-by-step explanation:

14x-4- (3x-2)-(5x+3)= 14x-4-3x+2-5x-3= 6x-5

help me asap please right now​

Answers

Answer:

-3

Step-by-step explanation:

Answer:

-4.5, -3, 22/7 , 16/5, sqrt(17)

Step-by-step explanation:

please help me for this question....​

Answers

Answer:

the answer is 3. but the workings are so long

These are AP statistics multiple choice questions. I don’t know if I got them correct but can double you check for me?

Answers

Answer:

first question

mean = 5.11

median = 6

mean = sum of the terms

number of terms

= 271

53

= 5.11

median is the 27th (arrange lowest to highest number)

conclusion, the median is higher than mean, the answer is B.

sec question

a is the answer

third question

a is the answer

last question

mean = 60838

median = 60000

the answer is B

what is the value of x when the distance between the points (-2,-3) (-3,x) is equal to 5​

Answers

Answer:

(-3,-4)

Step-by-step explanation:

why the absolute value of a number will never be negitve

Answers

True because if a number is negative 4 the absolute value will be 4

blake and josh are both saving money for a new bike. the ratio of blake,s saving to josh saving is 3:1 if they have saved 400$, how much has each boy saved

Answers

Answer:

200 each.

Step-by-step explanation:

400 divided by 2 is 200

FURTHER MATHEMATICS Use determinants to solve the systems of equation:
2x + y + 2z = 13
X + y - 2z = 8
X + 2y + z = 11​

Answers

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}2x+1y+2z&=&13\\1x+1y-2z&=&8\\1x+2y+1z&=&11\\\end{array}\right.\\\\\\\Delta=\left| \begin{array}{ccc}2&1&2\\1&1&-2\\1&2&1\end{array}\right| =2*\left| \begin{array}{ccc}1&\frac{1}{2}&1\\1&1&-2\\1&2&1\end{array}\right| =2*\left| \begin{array}{ccc}1&\frac{1}{2}&1\\0&\frac{1}{2}&-3\\0&1&3\end{array}\right| =2*(\frac{3}{2}+3)=9\\\\[/tex]

[tex]\Delta_1=\left| \begin{array}{ccc}13&1&2\\8&1&-2\\11&2&1\end{array}\right| =2*\left| \begin{array}{ccc}13&1&2\\8&1&-2\\\frac{11}{2}& 1&\frac{1}{2}\end{array}\right| =2*\left| \begin{array}{ccc}13&1&2\\-5&0&-4\\\frac{-5}{2}& 0&\frac{5}{2}\end{array}\right| \\\\=2*(-1)*(\frac{-25}{2}-\frac{20}{2}) =45\\[/tex]

[tex]\Delta_2=\left| \begin{array}{ccc}2&13&2\\1&8&-2\\1&11&1\end{array}\right| \\\\\\=\left| \begin{array}{ccc}3&21&0\\3&30&0\\1&11&1\end{array}\right| \\\\\\=1*(90-63) =27\\[/tex]

[tex]\Delta_3=\left| \begin{array}{ccc}2&1&13\\1&1&8\\1&2&11\end{array}\right| \\\\\\=\left| \begin{array}{ccc}0&-1&-3\\0&-1&-3\\1&2&11\end{array}\right| \\\\\\=0\\[/tex]

[tex]\left\{\begin{array}{ccc}x=\dfrac{\Delta_1}{\Delta}=\dfrac{45}{9}=5\\\\y=\dfrac{\Delta_2}{\Delta}=\dfrac{27}{9}=3\\\\z=\dfrac{\Delta_3}{\Delta}=\dfrac{0}{9}=0\\\end{array}\right.[/tex]

A rectangular garden is to be twice as long as it is wide. If 360 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards

Answers

Answer:

ninguna respuesta lo siento pero si es que puedo lo cmletare

The typing speeds for the students in a typing class is normally distributed with mean 44 words per minute and standard deviation 6 words per minute. What is the probability that a randomly selected student has a typing speed of less than 38 words per minute

Answers

Answer:

15.87%

Step-by-step explanation:

*Probability-Below 15.87%

Z1=-1

*x-1 38

*µ 44

*σ 6

The probability that a randomly selected student has a typing speed of less than 38 words per minute is 15.87%.

What is z-score?

The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.

Formula for z-score

z = (x -μ)/σ

Where,

Z is standard score.

x is observed value.

μ is mean of the sample.

σ is standard deviation of the sample.

What is probability?

The area under the normal distribution curve represents probability.

According to the given question.

Mean, μ = 44

Standard deviation, σ = 6

Observed value, x = 38

Therefore, z-score = [tex]\frac{38-44}{6}= -1[/tex]

So, the are P(z > -1) = 15.87%

Hence, the probability that a randomly selected student has a typing speed of less than 38 words per minute is 15.87%.

Find out more information about z-score and probability here:

https://brainly.com/question/25638875

#SPJ2

How many solutions does this equation have?

–3h = 1 − 3h

Answers

None.

-3h cannot equal -3h + 1.

No matter what you pick for h, the two sides will always be 1 unit apart.

Write a proof. Given x - 2 = 3(x - 4) Prove x = 5

Answers

x=5

Step-by-step explanation:

x-2=3(x-4)

x-2=3x-12

12-2=3x-x

10=2x

x=10/2

x=5

Answer:

x = 5

Step-by-step explanation:

x - 2 = 3(x - 4)

x - 2 = 3x - 12

-2x - 2 = -12

-2x = -10

x = 5

friends??
disc; misti.#7628
tt; mistis.wishes

Answers

Wait I’m confused !!!!!!

Can anyone solve numbers 60 through 65?

Answers

Answer:

[tex]4a + 9a \\ \\ = (4 + 9).a \\ \\ = 13a \\ \\ 9y + 3y - 5x \\ \\ (9y + 3y) - 5x \\ \\ (9 + 3).y - 5x \\ \\ 12y - 5x[/tex]

NCERT Portion, grade 8, Lesson 1. Rational numbers

Answers

Answer:

[tex]-\frac{43}{70}[/tex]

Step-by-step explanation:

One is given the following equation,

[tex]\frac{2}{3}*\frac{-3}{7}-\frac{1}{14}-\frac{3}{7}*\frac{3}{5}[/tex]

Simplify, use the order of operations. The order of operations is a sequence by which one must simplify an equation. This sequence is the following,

1. Parehtensis

2. Exponents

3. Mutliplcaiton or Division

4. Addition or subtraction

Simplify the given expression. Remember, when multiplying fractions, one must cancel out like terms or factors that can be found in both the numerator and denominator,

[tex]\frac{2}{3}*\frac{-3}{7}-\frac{1}{14}-\frac{3}{7}*\frac{3}{5}[/tex]

[tex]\frac{-2}{7}-\frac{1}{14}-\frac{3}{7}*\frac{3}{5}[/tex]

[tex]\frac{-2}{7}-\frac{1}{14}-\frac{9}{35}[/tex]

Convert to the least common denominator. In this case, the least common denominator is (70). Remember to multiply both the numerator (number over the fraction bar) and denominator (number beneath the fraction bar) to convert the denominator.

[tex]\frac{-2}{7}-\frac{1}{14}-\frac{9}{35}[/tex]

[tex]\frac{-2}{7}*\frac{10}{10}-\frac{1}{14}*\frac{5}{5}-\frac{9}{35}*\frac{2}{2}[/tex]

Simplify,

[tex]\frac{-2}{7}*\frac{10}{10}-\frac{1}{14}*\frac{5}{5}-\frac{9}{35}*\frac{2}{2}[/tex]

[tex]\frac{-20}{70}-\frac{5}{70}-\frac{18}{70}[/tex]

[tex]-\frac{25}{70}-\frac{18}{70}[/tex]

[tex]-\frac{43}{70}[/tex]

evaluate the following 1340five minus 242five​

Answers

Answer:

10980 is the correct answer

Compare and order the numbers below from least to greatest.
4.6, 2.8, V7, V17,

Answers

Answer:

2.8, 4.6, V7, V17

i hope it help n im sorry i can't explain

23. What is the value of 3.2/0.8​

Answers

Answer:

When you divide 3.2 by 0.8 you get 4.

100 POINTS

PLEASE DO THESE FOUR QUESTIONS (even if it’s just one)

1. write a number sentence expressing the value of the missing angle in the diagram below

2. write a number sentence expressing the value of r in the diagram

3. label the diagram below so that one pair of parallel lines, and one pair of equal lines

4. use the index laws to simplify the expression below, giving your answer with positive indices. SHOW ALL WORKING OUT.

Answers

Step-by-step explanation:

1. k = 76°

2. r = 25cm

3. as the drawing attached

one pair of parallel lines : AB and DC

one pair of equal angles : L A and L D

4. (7²× 3`¹)⁴×7^5 / (3² × 7^(-6))³

= (7^8 × 3`⁴)×7^5/ (3² × 7^(-6))³

= (7^13 × 3`⁴)/ (3^6 × 7^(-18))

= (7^(31) × 3^(-10))

= 7^31 / 3^10

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