Answer: 2 11/12 kg
Step-by-step explanation:
add the fractions and the the two(2)
Let x = √(4-√7) and y = √(4+√7), then value of (x-y/√3)² + (x²y+xy²)²+(x+y)² is -
Given info:- X = √(4-√7) and Y = √(4+√7)
Find the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²?
Explanation:-
Given that:
X = √(4-√7)
It can be written as
On multiplying and dividing by 2 in the squre root
⇛ X = √[2{(4-√7)}/2]
⇛ X =√[(8-2√7)/2]
⇛ X =√[{(7+1)-2√7{/2]
⇛ X =√[{(√7)²+(√1)²-2(√7)(√1)}/2]
It is in the form of a²-2ab+b²
Where , a = √7 and b = √1
⇛X = √[{(√7-√1)}²/2] [∵(a-b)² = a²-2ab+b²]
⇛ X = (√7-√1)/√2
⇛ X = (√7-1)/√2 — — — — Eqⁿ(1)
and
Y = √(4+√7)
It can be written as
On multiplying and dividing by 2 in the squre root
⇛ Y = √[{2(4+√7)}/2]
⇛ Y =√[(8+2√7)/2]
⇛ Y =√[{(7+1)+2√7}/2]
⇛ Y =√[{(√7)²+(√1)²+2(√7)(√1)}/2]
It is in the form of a²+2ab+b²
Where , a = √7 and b = √1
⇛Y = √[{(√7+√1)}²/2] [∵(a+b)² = a²+2ab+b²]
⇛ Y = (√7+√1)/√2
⇛ Y = (√7+1 )/√2 — — — — Eqⁿ(2)
On adding Eqⁿ (1) & Eqⁿ(2)
→ X+Y = (√7-1)/√2+(√7+1)/√2
→ X+Y = (√7-1+√7+1)/√2
→ X+Y = (2√7 )/√2
→ X+Y = (√2×√2×√7)/√2
→ X+Y = √2×√7
→ X+Y = √14 — — — — Eqⁿ(3)
On Subtracting Eqⁿ(2) from Eqⁿ(1)
→ X-Y =[(√7-1)/√2]-[(√7+1)/√2]
→ X-Y =[ (√7-1 )-(√7+1)]/√2
→ X-Y = (√7-1-√7-1)/√2
→ X-Y = (-1-1)/√2
→ X-Y = -2/√2
→ X-Y = -(√2×√2)/√2
→ X-Y = -√2 — — — — Eqⁿ(4)
On multiplying Eqⁿ(1)& Eqⁿ(2)
→ XY = [(√7-1)/√2][(√7+1)/√2]
→ XY = (√7-1)×(√7+1)/(√2×√2)
→ XY = [(√7)²-(1)²]/(2) [∵(a+b)(a-b) = a²-b²]
→ XY = (7-1)/2
→ XY = 6/2
→ XY = 3 — — — — — Eqⁿ(5)
Now,
The value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²
It can be written as
⇛[(X-Y)²/3] + [ XY(X+Y) ]²+(X+Y)²
From Eqⁿ(3), Eqⁿ(4)& Eqⁿ(5)
⇛ [(-√2)²/3] + [ 3(√14)]²+(√14)²
⇛ (2/3) + (9×14)+(14)
⇛ (2/3)+(126)+(14)
⇛ (2/3)+140
⇛ [2+(3×140)]/3
⇛(2+420)/3
⇛ 422/3
Therefore, the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)² is 422/3.
If you have any doubt, then you can ask me in the comments.
Heyyyyyy , Can you please help me with this
Answer:
19 houses
Step-by-step explanation:
90*(2/5)=36
90-36=54
54*(2/3)=37
54-37=19
1) A covered hot cup of coffee will cool to the temperature of the room as governed by a physics principle known as Newton's Law of Cooling. The data from an experiment is shown in the table. If the room temperature is 73 degrees Fahrenheit, which statement is correct?A) The relationship could be linear with c ≈ 83oF.B) The relationship could be linear with c ≈ 63oF.C) The relationship could be exponential with c ≈ 83oF.D) The relationship could be exponential with c ≈ 63oF.
Answer:
f(t) = 80 + 120 e^(-0.08 t)
Step-by step explanation:
The exponent is negative, so this is an example of exponential decay. As t increases, the exponent becomes more and more negative. So e^(-0.08 t) gets closer and closer to 0. Meaning f(t) gets closer and closer to 80.
cual es el reciproco de 3 1/5
Answer:
5/16
Step-by-step explanation:
Im guessing your asking for the recipricol of 3 1/5
Turn to improper fraction, 16/5
recipricol means to flip so it's 5/16
Can anyone help me? asap if possible
Answer:
B) CD
Step-by-step explanation:
Perpendicular means a line that bisects the other at 90°.
In this case, you are trying to find a perpendicular line to line BC, which can be two choices, AB & DC.
In this case, B) CD is your answer, as it is the only one that shows up (AB does not).
~
Answer:
segment CD
Step-by-step explanation:
Perpendicular segments form a 90 degree angle (aka right angle). Segment BC appears to be perpendicular to both AB and CD. I use the phrasing "appears to be" since it's not entirely clear if they actually are perpendicular. The use of a square angle marker would indicate the segments form a 90 degree angle. Such a symbol is missing.
Hope it help and if it its correct please give brainliest
Stay Safe and healthy
Thank You
I am exhausted could someone pls help me 3(-2+-8+9)divided by 4
Answer: you can use a calculator, -0.75
Step-by-step explanation:
-2+-8+9
The + and - make a - so you can simplify to
-2-8+9
-1x3
-3/4
PLEASE HELP
Which of the equations below contains the two points listed? (5,9) (6,9) A x=-9 B x=9 C y=-9 D y=9
Answer: y=9
Step-by-step explanation:
both points have 9 as the y coordinate
There are 8 math classes in 7th grade. Seven are equally sized and the 8th class has 32 students. If there are a total of 221 in the 7th grade, how many are in each of the equally sized bath class?
Answer:
27
Step-by-step explanation:
221-32=189189/7=27Explain how to use a model to represent the division of two fractions.
Please help with this it's due in 20 mins!
Answer:
You can use the model to show the fractions alongside each other.
Step-by-step explanation:
Help please I really don’t understand due in 2 days
Answer:
-3 ≤ x < 2
Step-by-step explanation:
Help me guys, please and thank u
Answer:
¡¡ Only
Step-by-step explanation:
-8-2x < - 4
-2x < - 4+8
-2x < 4
x > - 2
During a day a student spends 7 hours sleeping ¼ of the day studying and 1/12 of the time travelling what fraction of the day is left for other things (in fraction)
PLEASE HELP (especially on B)
Any 3 T-shirts for $14.50
$3.99
$6.99
$5.99
A) Tom bought these three T-shirts at the sale price of $14.50. How much money did he save compared
to the original total price of the T-shirts?
B) What percentage of the total price did Tom save?
Pls someone help me!!
Answer:
116°
Step-by-step explanation:
Interior angles in a triangle are added up to 180°.
Therefore,
(14x + 4)° + (5x - 1)° + (2x + 9 )° = 180°
Now you can solve this equation and find the value of x.
[tex](14x + 4) + (5x - 1) + (2x + 9 ) = 180[/tex]
[tex]14x+4+5x-1+2x+9=180[/tex]
[tex]14x+5x+2x+4-1+9=180[/tex]
[tex]21x+12=180[/tex]
[tex]21x=180-12[/tex]
[tex]21x=168[/tex]
[tex]\frac{21x}{21}= \frac{168}{21}[/tex]
[tex]x=8[/tex]
Now let's find the value of angle A
14x + 4
14 × 8 + 4
116°
Of the pies that Lorenzo's Pie Shop sold last month, 1/2 were blueberry pies and 2/5 were blackberry pies. What fraction of the pies sold were either blueberry or blackberry?
If my dad drives at a rate of 120 miles every 2 hours, how many miles will he drive in 12 hours? A 720 miles B 320 miles C 120 miles D 600 miles. please help me....
Answer:
A: 720 miles
Step-by-step explanation:
Since in 2 hours he drives 120 miles we can calculate the rate for 1 hour by diving the miles by 2
1 hour he will have driven 60 miles
Since we are looking for how much would be driven in 12 hours we multiply 60 by 12. Giving us 720 miles in 12 hours
The coordinates of the end points of TU are T(2,4) and U(11,13)
Answer:
[tex]T(2,4) and U(11,13)[/tex]
Step-by-step explanation:
What equation represents this sentence?
0.8 increased by a number is 4.5.
4.5 + n = 0.8
0.8n = 4.5
0.8 + n = 4.5
4.5n = 0.8
hurry ill give brainliest
Answer:
It is 0.8 + n = 4.5 that is the right answer
Answer: 0.8 plus n equals 4.5
Step-by-step explanation:
What is the approximate area of a circle with a diameter of 10in
Answer:
A≈78.54in²
Step-by-step explanation:
Can I have brainliest pls?
3x4y=-2
9x-10y=38
elimnation method
Answer:
x = 2
y = -2
Step-by-step explanation:
N.B. Assuming the first equation is actually 3x + 4y = -2
The elimination method is an incredibly useful tool used to save large amounts of time when working with small systems of equations.
First, set one variable in the top equation to have an equal coefficient as that same variable in the bottom equation.
3(3x + 4y) = 3(-2)
Then, you are left with this. Simply subtract the equations.
9x + 12y = -6
9x - 10y = 38
0 + 22y = -44
Then, simply solve
y = -2
9x + 20 = 38
9x = 18
x = 2
Hope it helps :) and let me know if you want me to elaborate.
The ratio of boys to girls in a class is 3:5. There are 40 students in class.How many students are boys?
Answer:
1. 40/8 = 5
2. 3x5 : 5x5
3. 15:25
There are 15 boys to 25 girls in the class
Step-by-step explanation:
At the movie theatre, child admission is $6.50 and adult admission is $9.60. On Monday, 129 tickets were sold for a total sales of $1071.00. How many adult tickets were sold that day?
what's the slope and y-intercept for -30+10y=-2x ?
Answer:
XDDDDDDDDDDDDDDDDDDDDDDDDDD
Step-by-step explanation:
LOL
Zach goes on holiday. The ratio of the costsflights: hotels = 3 : 8. The cost of the flightsis $861. Workout the total cost of flightsand hotels.
total cost of the hotels is 2,296
Answer:
hahshdbdndjksosondndndud
Solve pls brainliest
Answer:
$180
Step-by-step explanation:
simple interest means that interest is paid every year on the original $200
To find 3% of 200, you multiply 200(.03) = $80.
$200(3)=$60
Since the interest is the same, 3(60) = $180
Hope this helps
Which graph shows a set of ordered pairs that represents a function?
Answer:
1
2
3
4
5 6 7 8 9
6
7
8
9
Step-by-step explanation:
thats how you do it : ))))
Simplify:
M = 4/9 + 11/72
N = 8/15 - 1/3
O = 8/7 + 9/35
P = 3 - 2/10
Q = 11/15 + 1/6
R = 3/4 - 7/10
Step-by-step explanation:
M = 4/9 + 11/72
M = (4 x 8) / (9 x 8) + 11/72
M = 32/72 + 11/72
M = 43/72
N = 8/15 - 1/3
N = 8/15 - (1 x 5) / (3 x 5)
N = 8/15 - 5/15
N = 3/15
N = (3 x 1) / (3 x 5)
N = 1/5
O = 8/7 + 9/35
O = (8 x 5) / (7 x 5) + 9/35
O = 40/35 + 9/35
O = 49/35
O = (7 x 7) / (7 x 5)
O = 7/5
P = 3 - 2/10
P = (3 x 10) / (1 x 10) - 2/10
P = 30/10 - 2/10
P = 28/10
P = (2 x 14) / (2 x 5)
P = 14/5
Q = 11/15 + 1/6
Q = (11 x 2) / (15 x 2) + (1 x 5) / (6 x 5)
Q = 22/30 + 5/30
Q = 27/30
Q = (3 x 9) / (3 x 10)
Q = 9/10
R = 3/4 - 7/10
R = (3 x 5) / (4 x 5) - (7 x 2) / (10 x 2)
R = 15/20 - 14/20
R = 1/20.
can the pythagorean theorem be used for any triangle
Answer:
No, only for right angle Δ
Step-by-step explanation:
It is only used for right angle triangles
if i can get 4 tastykake snack cakes. 4 for $5.00 how much would it be if i get 2 tastykake snack cakes?
Answer:
2.50
Step-by-step explanation:
If 4= $5.00
then divided 5.00 by 4=1.25
so 1 = 1.25
1.25x2=2.50
Therefore 2 tastykake snack cakes = $2.50
Answer:
The answer is 2.5
Step-by-step explanation:
5 divided by 4 = 1.25
1.25 times 2 = 2.5
brainliest :)
Will give brainliest no files plz
Answer:
x=3 and y= 4 / 3 (Fraction)
Step-by-step explanation:
Substitute x for 6y-5.
2(6y−5)−3y=2
Add 6y and 3y, and multiply 5 by 2/Simplify the equation.
9y−10=2
Add 10 to both sides, and then divide each side by 9.
9y−10+10=2+10
9y / 9 = 12 / 9
y = 4/3.
Repeat the process but replace y with 4/3!
Answer:
x=3
y= 4/3
Step-by-step explanation:
2(6y-5)-3y=2
y= 4/3
x=6x 4/3-5
x=3