Answer: 6, 12,24,30,36
Step-by-step explanation:
Hope this helps! :)
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.
The graph of f(x) = 2x + 3 is shown above. Which graph represents f-'(x)?
Answer:
May we assume "f-'(x)" means the fiurst derivative of f(x)? I'm not sure what f-'(x) sign means, if not that. The answer assume this is the first derivative. No graphs are shown, so I'll add one.
Step-by-step explanation:
f(x) = 2x + 3
f'(x) = 2
The graph would be a staight vertical line through x=2. The slope of the line f(x) = 2x + 3 is 2
Could someone help me solve for this question? I have a hard time
Understanding. Thanks, the question is
Which statement describes the end behavior of the exponential equation y = 3^x?
A as x -> - ♾ , y -> - ♾
B as x -> - ♾ , y -> 0
C as x - > ♾ , y -> - ♾
Answer:
the answer is b ok understand
divide £64 in the ratio5 3:
Answer:
£40 : £24
Step-by-step explanation:
sum the parts of the ratio, 5 + 3 = 8 parts
Divide the amount by 8 to find the value of one part of the ratio
£64 ÷ 8 = £8 , then
5 parts = 5 × £8 = £40
3 parts = 3 × £8 = £24
£64 in the ratio 5 : 3 is £40 : £24
Answer:
24:40
Step-by-step explanation:
Let the ratio be 3x and 5x
3x+5x=64
8x=64
X=8
ratio=3(8):5(8)
24:40
Simplify the expression.
3.7-4.6n-3n + 6
Answer:
−7.6n+9.7
Step-by-step explanation:
First, lets put the equation
≈3.7 - 4.6n - 3n + 6
Add light terms
−7.6n + 9.7
Now were done
When Sammy's school bus has traveled 4.3 miles, he has completed only 40% of his trip home from school. How many miles does Sammy travel on the school bus from school to home?
Answer:
10.75 miles
Step-by-step explanation:
What is the slope of the graph?
solve the following equation
d) 0 = 12 + 2 ( m - 8 )
pls pls pls pls plz plz answer steps
[tex] \: \: \: \: \: \: \: \: [/tex]
[tex]m = 2[/tex]
Step-by-step explanation:
[tex]0 = 12 + 2(m - 8)[/tex]
remove the parentheses and distribute 2 through the parentheses[tex]0 = 12 + 2m - 16[/tex]
calculate the difference[tex]0 = - 4 + 2m[/tex]
move the variable to the left hand side and change its sign[tex] - 2m = - 4[/tex]
divide both sides of the equation by -2[tex] = m = 2[/tex]
hope it helps[tex] \: \: \: [/tex]
Answer:
m = 2
Step-by-step explanation:
0 = 12 + 2 ( m - 8 )
→ Expand the brackets
0 = 12 + 2m - 16
→ Add 16 to both sides
16 = 12 + 2m
→ Minus 12 from both sides
4 = 2m
→ Divide both sides by 2
2 = m
What is one geometrical fact explained in the lecture that reflects the mathematical technique da Vinci used in The Last Supper? a. He doesn?t use mathematics in the painting. B. He uses trigonometry to find the exact place where each thing should be located and create the picture plane. C. He uses the coffers of the ceiling to place Jesus in the mathematical center, and to create an illusion that extends the room beyond what is visible.
Answer:
C. He uses the coffers of the ceiling to place Jesus in the mathematical center, and to create an illusion that extends the room beyond what is visible.
Step-by-step explanation:
See attached. We can see that this option is the best as it reflects what we can see in the painting.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
c
Step-by-step explanation:
The type of sampling method in which a sample frame is divided into groups, which are highly similar to the others is:
The type of sampling method in which a sample frame is divided into groups, which are highly similar to the other
Simple random sampling.According to the given question, we are asked to show the name which is given to the type of sampling method in which a sample frame is divided into groups, which are highly similar to the other.
As a result of this, when a sample frame is divided into groups which are very similar to each other, then this is a simple random sampling.
In this method, we can see that there are different types of random sampling techniques which includes:
Simple random samplingStratified random samplingCluster random samplingSystematic random samplingTherefore, the correct answer is Simple random sampling.
Read more here:
https://brainly.com/question/17019103
Please help will mark brainliest
Answer:
u cant be marked
Step-by-step explanation:
u cant be marked
Noah has 3 meters of rope. How many 3/4 meter pieces of rope can he cut from it?
Answer:
4
Step-by-step explanation:
3/(3/4)=4
Mrs. Kelly got a box of 16 colored pencils. She opened it, and 8 fell on the floor. How many colored pencils stayed in the box?
Write a subtraction sentence that fits the story (for example, 3 - 2 = 1).
16-8=8
Step-by-step explanation:
What is dehydration reaction ?
Answer:
In chemistry, a dehydration reaction, also known as Zimmer's Hydrogenesis, is a chemical reaction that involves the loss of water from the reacting molecule or ion. It is the most common type of condensation reaction. Dehydration reactions are common processes, the reverse of a hydration reaction.
Answer:
In chemistry, a dehydration reaction, also known as Zimmer's Hydrogenesis, is a chemical reaction that involves the loss of water from the reacting molecule or ion. It is the most common type of condensation reaction. Dehydration reactions are common processes, the reverse of a hydration reaction.
Step-by-step explanation:
−7a − 12q + 6a + 13q + 4a − 7a
Answer:
-4a + q
Step-by-step explanation:
Group the a-values together and the q-values together and simplify:
-7a + 6a + 4a - 7a - 12q + 13 q
= -4a + q
Write the line (-5,-6) with slope 2/5 in point-slope form
Answer:
[tex]y+6=\frac{2}{5} (x+5).[/tex]
Step-by-step explanation:
1) the common form of the point-slope form is y-y₁=s(x-x₁), where s - the slope, (x₁;y₁) - the point belongs to the required line;
2) if s=2.5; x₁= -5; y₁= -6, then the required equation is:
y+6=2/5(x+5).
Please answer all of the above thanks ur the best!:)
and please explain how u got the answer on each question! thanks
1. 2 1/3 + 1 3/4
Answer:
4.0833333
Step-by-step explanation:
PLZ give brainliest thanks
7 2/9 + -5 1/5 =
show your work, show me how you got this answer pls double check!!!!!
D;
simpify 5 cubed to the power of 6
[tex]5 cubed to the power of 6[/tex]
[tex]\displaystyle (5^3)^6 = 5^{(3 \times 6)} = 5^{18}[/tex]
What Is the value of x?
A: x = 2.25
B: x = 11.25
C: x = 13
D: x = 22
Step-by-step explanation:
I have shown all the steps of obtaining the value of X in the picture above therefore the value of x is 22 which means the answer iisD
HI I REALLY NEED HEP PLEASEE
Option 2. Both lines have the same slope but start at a different y-intercept so they would be parallel. The other choices are false as well.
negitive ten is no less than two times a number plus fourteen
Answer:
Negative 12
Step-by-step explanation:
-10 ≥ 2x + 14
-24 ≥ 2x [subtract 14 from both sides]
2x ≤ -24 [read right to left]
x ≤ -12 [divide both sides by 2]
Find the value of x in the equation below. 2.7+x=11.7
plz help??????????????????????
Answer:
Step-by-step explain
i did not do the 1 and 2 srry
How would you convert 12.5% to a fraction?
Answer:
12.5% as a fraction is written as 25/2
Step-by-step explanation:
step 1; write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the numbers of zeros vital or require according.
step in this case 12.5 has one number after the decimal number so we place 10 in the denominator and remove the decimal point. this will make it 125/10.
step 2: then , this fraction can be simplified. 125/10=(125÷5)/(10÷5) =25/2
1) 20/2 × 7 = ?
2) 6/2 + 6/1 = ?
.
.
_____
0.
20/2 × 7 = ?
= 10 × 7
= 70
[tex] \: [/tex]
Number (2)6/2 + 6/1 = ?
= 3 + 6
= 9
[tex]\huge\mathfrak\blue{Answer}[/tex]
3 + 6 = 9write an quadratic equation with the x-intercepts of (0,0) and (16,0)
Answer:
y = x^2 - 16x
Step-by-step explanation:
The given roots are x = {0, 16}
y = (x - 0)(x - 16)
y = x(x - 16)
y = x^2 - 16x
Jessica has 21 students in her enrichment class. Seven students are completing a science project, five students are working on math , and two students are reading a novel. How many students are working on something else
Answer:
7 by 21 is the answer so 1 by 3 and that will be 3
Gemma made 106 beaded necklaces . Leah made 145 beaded necklaces.
At a recent craft fair, Gemma sold each of her necklaces for $14. Leah sold each of her necklaces for $10 more. Who made more money at the craft fair? How much more? ( im using my brothers acc and he is 16)
Answer: Leah made more money by 1,996 dollars more than Gemma,
Step-by-step explanation: 1484 is how much Gemma made and 3480 is how much Leah made all you had to do is multiply the total amount of necklaces they sold and the price of each so Leah made more money by 1996 dollars
Quan can make 30 bracelets in 2.25 hours. How much time will it take him to make 80 bracelets .
Answer:
6
Step-by-step explanation: