Answer:
the 2nd one
Step-by-step explanation:
Sorry if it is wrong
7+2^2⋅6+2^3−6
wat dis using pedmas plz :(
Answer:
9^-4 + 2^-3
Step-by-step explanation:
It can't be broken down anymore under the law of indices.
ANSWER
this answer is 33 pls picke me brainliest
What is the place value in the 9 in the decimal 409.5
Answer:
The 9 is in the ones place.
:)
a^6 + b^6 ≤ 12 a^2 b^2 - 64
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that
[tex]\rm \longmapsto\:a > 0 \: \: and \: \: b > 0[/tex]
and
[tex]\rm \longmapsto\: {a}^{6} + {b}^{6} \leqslant 12 {a}^{2} {b}^{2} - 64[/tex]
can be rewritten as
[tex]\rm \longmapsto\: {a}^{6} + {b}^{6} + 64 - 12 {a}^{2} {b}^{2} \leqslant 0[/tex]
[tex]\rm \longmapsto\: {( {a}^{2}) }^{3} + {( {b}^{2} )}^{3} + {(4)}^{3} - 3( {a}^{2})( {b}^{2})(4) \leqslant 0[/tex]
We know
[tex]\mathfrak{ {x}^{3}+{y}^{3}+{z}^{3}-3xyz =(x + y + z)( {x}^{2}+{y}^{2}+{z}^{2}-xy-yz - zx}[/tex]
So, using this identity, we get
[tex] \rm( {a}^{2}+{b}^{2} + 4)( {a}^{4} + {b}^{4} + 16 - {a}^{2} {b}^{2} - 4 {b}^{2} - 4 {a}^{2}) \leqslant 0[/tex]
Let we consider,
[tex]\bf{ \longmapsto\:{a}^{4} + {b}^{4} + 16 - {a}^{2} {b}^{2} - 4 {b}^{2} - 4 {a}^{2}}[/tex]
can be rewritten as
[tex]\bf{ \: = \dfrac{1}{2}\bigg[2{a}^{4} + 2{b}^{4} + 32 - 2{a}^{2} {b}^{2} - 8 {b}^{2} - 8{a}^{2}\bigg]}[/tex]
[tex]\bf{ = \dfrac{1}{2}\bigg[{a}^{4} + {a}^{4} + {b}^{4} + {b}^{4} + 16 + 16 - 2{a}^{2} {b}^{2} - 8 {b}^{2} - 8{a}^{2}\bigg]}[/tex]
can be re-arranged as
[tex]\bf{ \: = \dfrac{1}{2}\bigg[({a}^{4} + {b}^{4} - 2{a}^{2} {b}^{2})+({b}^{4} + 16- 8 {b}^{2}) + (16 + {a}^{4} - 8{a}^{2})\bigg]}[/tex]
[tex]\bf{ \: = \dfrac{1}{2}\bigg[( {a}^{2} - {b}^{2})^{2} + {( {b}^{2} - 4) }^{2} + {( {a}^{2} - 4)}^{2} \bigg]}[/tex]
As sum of squares can never be negative.
[tex]\bf {⇛\:{a}^{4} + {b}^{4} + 16 - {a}^{2} {b}^{2} - 4 {b}^{2} - 4 {a}^{2} \geqslant 0}[/tex]
[ Equality of zero holds when a = b = 2 ]
And if a and b are distinct, then
[tex]\bf{⇛\:{a}^{4} + {b}^{4} + 16 - {a}^{2} {b}^{2} - 4 {b}^{2} - 4 {a}^{2} > 0}[/tex]
and
[tex]\bf{( {a}^{2}+{b}^{2} + 4)( {a}^{4} + {b}^{4} + 16 - {a}^{2} {b}^{2} - 4 {b}^{2} - 4 {a}^{2}) > 0}[/tex]
So,
[tex] \bf{( {a}^{2}+{b}^{2} + 4)( {a}^{4} + {b}^{4} + 16 - {a}^{2} {b}^{2} - 4 {b}^{2} - 4 {a}^{2}) \geqslant 0}[/tex]
So, for the given statement,
[tex]\rm \longmapsto\: {a}^{6} + {b}^{6} \geqslant 12 {a}^{2} {b}^{2} - 64[/tex]
So, we concluded that
If a = b = 2, then
[tex]\rm \longmapsto\: {a}^{6} + {b}^{6} = 12 {a}^{2} {b}^{2} - 64[/tex]
And
If a and b are distinct, then
[tex]\rm \longmapsto\: {a}^{6} + {b}^{6} > 12 {a}^{2} {b}^{2} - 64[/tex]
So, given statement is partially true for a = b = 2 otherwise false.
The initial population of a town 2700, and it grows with a doubling time 10 years . What will the population be in 8 years
Answer:
There were 2160 people in 8 years.
Step-by-step explanation:
find unit rate
10/2700 = 270 people per year
270 x 8 = 2160
[tex]70 \times 20[/tex]
I need help please
[tex] \sf \: 70 \times 20[/tex]
[tex]\sf \longmapsto1400[/tex]
OR the question can also be written as
[tex] \sf \: 70 (20)[/tex]
[tex]\sf \longmapsto1400[/tex]
Answer choices
A: 112
B: 34
C: 68
D: 73
Answer:
Step-by-step explanation:
This is an isosceles triangle, since XY and ZY are the same length. That means by the Isosceles Triangle Theorem, angle X and angle Z are congruent. Since the measures of a triangle by the Triangle Angle-Sum Theorem have to add up to equal 180 degrees, then angle Y, the vertex angle, measures
180 - 34 - 34 which is 112, choice A.
the answer is A. 112 hope this helps
Alguien me dice si ya está correcto el trabajo?
Answer:
el que está debajo del que está marcado con un círculo es correcto
Step-by-step explanation:
I need help rn I am going to fail
Answer:
slope is 0
Step-by-step explanation:
Slope formula: m= y2-y1/x2-x1
in (0,-1) (-3-1)
0 is x1
-1 is y1
-3 is x2
-1 is y2
-1-(-1) is 0
-3-0=-3
0/-3 is 0
Thus the slope is 0
Hope this helps!
Value of x in this solution
Answer:
Y = 6
Step-by-step explanation:
12 out of 15 soccer players attended practice. What percentage of soccer players attended practice?
Answer:
1.25
Step-by-step explanation:
Answer:
12/15 > 4/5 equals 80%
Step-by-step explanation:
What is the value of the digit in the number based on the location of the digit
Answer:
Do u have a photo??
Step-by-step explanation:
cuzz I do not know
write an equation for the red line.
Answer:
Its is the second one
Step-by-step explanation:
Remember: rise over run
The b of the equation is -2 because that is how far it goes down on the y axis.
The slope is 3x.
Put the slope like this 3/1= rise/run
Sorry for the delayed response!
Jackson's mom limits the amount of time he is allowed to play video games. After
Jackson plays for 9 minutes, his mom tells him that he has used up 15% of his time. How
many more minutes can Jackson play before he uses all of his time?
Answer:his mom sounds like a push over
Step-by-step explanation: she’s limiting his video games dude
Help help help help help help
Answer:
where is the questions I don't know
Can someone help me?
Answer:
-5.25
Step-by-step explanation:
There are 4 tick marks between every next integer, so you know that they are counting at a value of 0.25 per tick mark. D is at negative 5 plus negative 0.25, with D's position being at -5.25
Daniel has a 3/4 pound bag of dog
treats. He will give his dog 1/8 of the treats after they play each day. How many days will the bag last?
Answer: 6 days
Step-by-step explanation:
if you make them into common denominators, it would be 6/8, so it would last 6 days
Answer:
6 days.
Step-by-step explanation:
First, make each fraction have a like denominator
3/4 × 2/2 = 6/8
Then, subtract the 1/8 for each day
6/8 - 1/8 = 5/8
You can either write this out can count how many times you do this, or since were subtracting 1/8 every time, and we have 6/8, you can see that there is enough food to feed the dog for 6 days.
Jamie drives her car 42 miles using 2 gallons of gas how many miles per gallon does her car get
21 miles per gallon
Step-by-step explanation:
42 ÷ 2 = 21
What’s the answer ?
2003 4/11
+
59
=
Answer:
2062 4/11
Step-by-step explanation:
Okay so assuming 2003 4/11 is a mixed number, we just add:
2003 4/11 + 59 = 2062 4/11
Hope this helps:)
Original Amount: 2008
New Amount: 1975
what is the simplest form of
-1/4 + 3/8
---------------
5/8
for 20 pts
Answer:
the fraction in simplest form is [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Hope this helps!
Answer:
you may not find this helpful,
Step-by-step explanation:
0.125 is the answer
- Which product is greater, (-4) • (-6) or
(-7).(-8)? Explain
Answer:
(-7)*(-8)
Step-by-step explanation:
Two negatives make a postive so 7*8=56 and 4*6=24.
Pre Points Follow por more
nani .-. why tho?
why need followers?
must reason why
Answer:
JUPITER SATURN MARS
Step-by-step explanation:
Help help help math please pelsss
Answer:
a is 2-1= 1 b is 1-2=1 c is 1 its simple "liahthegoddest'
For the given triangle let a = 14.3, b = 16.4, c = 11.7, d = 19.0. Find the perimeter of the triangle.
Answer:
49.7
Step-by-step explanation:
you just add them. thats perimeter
Given the equation px^2 + 8x + 8 = 0 has equal roots find the value
of p.
[tex]\\ \sf\longmapsto px^2+8x+8=0[/tex]
Equal roots means Discriminate=0
[tex]\\ \sf\longmapsto D=0[/tex]
[tex]\\ \sf\longmapsto b^2-4ac=0[/tex]
[tex]\\ \sf\longmapsto 8^2-4(8)(p)=0[/tex]
[tex]\\ \sf\longmapsto 64-32p=0[/tex]
[tex]\\ \sf\longmapsto 32p=64[/tex]
[tex]\\ \sf\longmapsto p=2[/tex]
Answer:
p = 2Step-by-step explanation:
Since the roots are equal, the given equation should be a perfect square:
px² + 8x + 8 = 0Let p = 2q, since with odd value of p we can't get a perfect square:
2qx² + 8x + 8 = 0, divide all terms by 2qx² + 4x + 4 = 0The value of q should be 1 to make it a perfect square:
x² + 4x + 4 = 0(x + 2)² = 0Since q = 1, the value of p is:
p = 2q = 2*1 = 2It takes Ms. Brown 5/12 hours to hike 11 miles. At this rate, how long will it take her to hike the remaining 7 miles to her camp site?
Answer:
It will take 4 hours and 20 minutes to hike the rest of the 7 miles
Step-by-step explanation:
Please, if you can answer this, answer my other similar ones as well. I appreciate any help so much!
Answer:
C. Definition of Supplementary Angles
Step-by-step explanation:
You know this because they are opposites
I hope I could help!!!
Write the following times in words. 8:10am
Answer:
Step-by-step explanation:
eight ten a.m.
A TV has an original price of $549. Enter the new price after the given percent of change.
20% decrease
The new price is $
.
Answer:
439.20
Step-by-step explanation:
to find 549 deceased by 20% percent you need to find what's 20% percent of 549 is.
Suppose 60% of the graduating class in a certain high school goes on to college. If 144 students from this graduation class are going on to college, how many students are from this graduating
class
Answer:
I'm assuming the answer is 400, I'm not quite sure
