1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
cestrela7 [59]
3 years ago
5

Solve the equation 4(2^m+1)-16^m=0​

Mathematics
2 answers:
Karolina [17]3 years ago
7 0
M=2
That’s the answer
Otrada [13]3 years ago
6 0

\\ \rm\longmapsto 4(2^m+1)-16^m=0

\\ \rm\longmapsto 8^m+4-16^m

  • take 4common

\\ \rm\longmapsto 4(2^m+1-4^m)=0

\\ \rm\longmapsto 2^m-4^m+1=0

\\ \rm\longmapsto 2^m=4^m

\\ \rm\longmapsto 2^m=2^{2^m}

\\ \rm\longmapsto 2^m=m

\\ \rm\longmapsto m=\dfrac{1}{2}

You might be interested in
Please try to help ASAP, thanks so much!!
ehidna [41]
kids surf the internet for 35-60 minutes per day, the average is 52
4 0
3 years ago
Read 2 more answers
Slope Intercept form can someone please help me I am so confused
Andreyy89
You want to get familiar with what the slope-intercept form equation means. even though the discussion board covers some of this... slope-intercept is y = mx + b, and in it, x and y are a point on your graph (x, y), m is the slope, and b is your y-intercept. in word problems, any constant will typically be b.

but, really, to answer this word problem, you don't have to think so hard about y = mx + b. just read the problem and bring your information together:

"the venue will cost $1500 to rent for an evening"
"$25 per person"

so they only gave you two bits of information, and you just have to decide where they fit. if the venue costs $1500 for an evening, that's a fixed cost--the 1500 isn't going to go up or down depending on the number of people at the charity event. it stays. you're paying 1500 regardless, even if 2 people show up. because the discussion board states that b should represent your starting amount, you're automatically $1500 in the hole, because you have to spend that much to get the venue. you will, however, write it as a positive integer, because the question wants you to calculate the total cost, by my understanding--you're adding the cost of the people with the cost of the venue.

$25 is not a fixed amount. if it's $25 per person, then if 2 people come, it costs $50, if 3 people arrive, it costs $75. this cost is dependent upon the number of people, which you can call "x"

with that information, write any other equation you would for a word problem:

y = 25x + 1500

that's your equation, and it just so happens that this equation is in y = mx + b format. the x-value represents the number of people who show up for the charity; the y-value represents the overall cost.

and you need three solutions for this equation--which, luckily, is a quick and easy process!! choose an x-value and solve for y.

y = 25x + 1500

when x = 1...
y = 25(1) + 1500
y = 25 + 1500
y = 1525
ordered pair: (1, 1525)

when x = 2...
y = 25(2) + 1500
y = 50 + 1500
y = 1550
ordered pair: (2, 1550)

when x = 3...
y = 25(3) + 1500
y = 75 + 1500
y = 1575
ordered pair: (3, 1575)

i hope that helped!!
6 0
3 years ago
Please help...
Aleksandr [31]
To do this you have to times the number of fabric by the length of each fabric
so you have 6*5/8=30/8=15/4 or 3.75
8 0
2 years ago
What is 0.54 converted to a simplified fraction?
nadya68 [22]
0.54=0.54/1=5.4/10=54/100=27/50
4 0
3 years ago
Two angle measures of a triangle are given what is the third angle measure 57 68 _ 90 40 __ 29 71 _
nexus9112 [7]
Sum\ of\ angles\ in\ triangle\ is\ 180^{\circ}\\\\
57^{\circ},68^{\circ},x\\
57+68+x=180\\
125+x=180\\
x=55^{\circ}\\\\
90^{\circ},40^{\circ},x\\
90+40+x=180\\
130+x=180\\
x=50^{\circ}\\\\29^{\circ},71^{\circ},x\\
29+71+x=180\\
100+x=180\\x=80^{\circ}
3 0
3 years ago
Other questions:
  • Solve the equation check your solution<br> What is -z/4=-3/4
    13·1 answer
  • Simplify [2 (cos 210 + i sin 210)]^2
    10·1 answer
  • A 79-tooth gear drives a smaller gear which has 42 teeth. If the larger gear rotates at 316 rpm, what is the speed of the smalle
    9·1 answer
  • And, what is the least common multiple of 6,15, and 5
    11·2 answers
  • What is 0.362 in decimal expanded form
    7·1 answer
  • Please help me someone
    10·1 answer
  • 1206.37 ROUNDED TO NEARST HUNDRETH
    8·1 answer
  • Out of 1,200 students surveyed, 92% of them like country music. How many students like rap music?
    7·2 answers
  • How many deserts are in the bake sale in all?
    7·2 answers
  • The picture frames shown are both squares. The area of the larger frame is 4 times the area of the smaller frame. Find the side
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!