Answer:
Step-by-step explanation:
Use FOIL method
[tex](\sqrt{2} -1)(2-\sqrt{2})= \sqrt{2}*2 -\sqrt{2}*\sqrt{2} -1*2-1*(-\sqrt{2})\\\\\\=2\sqrt{2} - 2 -2 +\sqrt{2}[/tex]
Combine like terms
[tex]=2\sqrt{2} +\sqrt{2} - 2 -2\\\\\\=(2+1)\sqrt{2} - 4\\\\\\=3\sqrt{2}-4[/tex]
[tex]\frac{4}{2-\sqrt{2}}+\frac{5}{\sqrt{2} -1}=\frac{4*(\sqrt{2} -1)}{(2-\sqrt{2})*(\sqrt{2} -1)}+\frac{5*(2-\sqrt{2})}{(\sqrt{2} -1)(2-\sqrt{2})}\\\\\\=\frac{4\sqrt{2}-4+10-5\sqrt{2}}{(\sqrt{2} -1)(2-\sqrt{2})}[/tex]
[tex]=\frac{4\sqrt{2}-5\sqrt{2}-4+10}{3\sqrt{2}-4}\\\\\\=\frac{(4-5)\sqrt{2}+6}{3\sqrt{2}-4}\\\\\\=\frac{-1\sqrt{2}+6}{3\sqrt{2}-4}[/tex]
There are 10 Superscript 9 bytes in a gigabyte. There are 10 Superscript 6 bytes in a megabyte. How many times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive?
Answer:
1000 times greater.
Step-by-step explanation:
10^9 / 10*6
= 10^(9-6)
= 10^3
= 1000.
Answer:
just took the test answer is C
Step-by-step explanation:
find a if given c and θ
Answer:
a = c * SinФ
Step-by-step explanation:
SinФ = opp / hyp
c = hyp
a = opp
SinФ = a / c
therefore
a = c * SinФ
There are 30 calories in cup of red seedless grapes. How many calories are consumed if a person eats between and 1 cups of grapes?
Answer:
the first one is 90, the second is 150, the third is option dStep-by-step explanation:
Answer:
Edge 2020
Step-by-step explanation:
1.07 in the form a and b
Answer:
one and seven hundredths
√64 rational or irrational
Answer:
√64 = rational
Step-by-step explanation:
√64 = 8
8 = 8/1 = rational
Answer: The number 64 is an irrational number.
Step-by-step explanation:
what is the value of the expression below 2,686 divided by 34
Answer:The answer is 79
Step-by-step explanation:
(M^3/ k^4) ^ -5
Plzzz answer this question it’s urgent
Answer:
k^20/m^15
reason is because you're multiplying ^3 , ^4 with ^-5, the -5 turn positive since you flip the fraction/division
Complete this sentence. If volume remains the same while the mass of a substance ________, the density of the substance will_______________.
Answer:
Increases, increase
Step-by-step explanation:
Density is M×V, meaning if one goes up and one stays the same, it goes up.
please answer this and will marked as brainlist
where x is nonzero
=======================================================
Explanation:
We'll use two rules here
(a^b)^c = a^(b*c) ... multiply exponentsa^b*a^c = a^(b+c) ... add exponents------------------------------
The portion [ x^(a-b) ]^(a+b) would turn into x^[ (a-b)(a+b) ] after using the first rule shown above. That turns into x^(a^2 - b^2) after using the difference of squares rule.
Similarly, the second portion turns into x^(b^2-c^2) and the third part becomes x^(c^2-a^2)
-------------------------------
After applying rule 1 to each of the three pieces, we will have 3 bases of x with the exponents of (a^2-b^2), (b^2-c^2) and (c^2-a^2)
Add up those exponents (using rule 2 above) and we get
(a^2-b^2)+(b^2-c^2)+(c^2-a^2)
a^2-b^2+b^2-c^2+c^2-a^2
(a^2-a^2) + (-b^2+b^2) + (-c^2+c^2)
0a^2 + 0b^2 + 0c^2
0+0+0
0
All three exponents add to 0. As long as x is nonzero, then x^0 = 1
if fg=7x, GH=9, and fh=10x, what is fg
Answer:
fg = 7x in the question only it is given
a triangle has side lengths of (2.4k-7.4) centimeters, (6.3k-2.2) centimeters and (6.8m+2.4) centimeters. which expression represents the perimeter, in centimeters, of the triangle?
a. 9.2m-0.9k
b.-9.6+9.2m+8.7k
c. 6.8m-7.2+8.7k
d. -5k+4.1+9.2m
c. 6.8m-7.2+8.7k
[tex](2.4k-7.4)+(6.3k-2.2)+(6.8m+2.4)[/tex] combine like terms
[tex]2.4k+6.3k+6.8m-7.4-2.2+2.4\\9.7k+6.8m-9.6+2.4\\9.7k+6.8m-7.2[/tex]
Each club member collected 15 boxes of recycling for community service. Let C represent the number of club members and T represent to total number of boxes collected.
Which equation models the situation?
T + 15 = C
15T = C
C15=T
15C = T
Answer:
Itsss 15C = T!
Step-by-step explanation:
The telephone company offers two billing plans for local calls. Plan 1 charges $ per month for unlimited calls and Plan 2 charges $ per month plus $ per call.
Answer and Step-by-step explanation:
Let us assume the number of calls be x
So
For Plan 1
Total monthly charges is $24 for unlimited calls
For Plan 2
There is a charge of $16 and $0.04 per call
We can write as
= 0.04x + $16
a) Now the inequality equation is
0.04x + $16 > $24
0.04x > $8
x > 200
b) Now if there are more than 200 calls than Plan 1 is more economical as compared with plan 2
Where can you put parentheses so that the answer is correct? 5 • 4 - 1+6=13
Answer:
You can put 1 + 6 into parentheses to make the answer correct.
Step-by-step explanation:
5 × 4 - (1 + 6) = 13
5 × 4 - (7) = 13
20 - (7) = 13
13 = 13
Answer:
5 • 4 - (1+6)=13
Step-by-step explanation:
5 • 4 - 1+6=13
Add parentheses to make this true
5 • 4 - (1+6)=13
Using PEMDAS
Parentheses first
5 • 4 - 7=13
Then multiply
20-7 =13
Then subtract
13=13
Please help, thank you
Answer:
[tex]x\approx12.1940[/tex]
Step-by-step explanation:
So we want to find the value of x.
To do so, we can use the standard trigonometric ratios.
Focus on Angle B. The opposite side is 8, and the hypotenuse is x. Therefore, we can use the sine function.
Recall that sine is:
[tex]\sin(x)=opp/hyp[/tex]
Substitute 41 for x, 8 for the opposite, and x for the hypotenuse:
[tex]\frac{\sin(41)}{1}=\frac{8}{x}[/tex]
Cross multiply:
[tex]8=x\sin(41)[/tex]
Divide both sides by sin(41):
[tex]x=8/\sin(41)[/tex]
Use a calculator:
[tex]x\approx12.1940[/tex]
A non-repeating, non-terminating decimal is a(n) ______________ number.
Answer:
irrational
Step-by-step explanation:
it can't be written as a simple fraction
Difference between commutative and symmetrical property; as they both share the feature 'a+b = b+a'
Answer:
They both use the communitive property
:)
Step-by-step explanation:
Which algebraic represents this word description The product of two and the difference between a number and eleven.
Answer: 2(x-11)
Step-by-step explanation:
Disclaimer: The options are missing. They are as follows:
a. 2(11-x)
b. 11-2x
c. 2x-11
d. 2(x-11)
The algebraic expression that represents the word description: The product of two and the difference between a number and eleven is 2(x - 11). Hence, option d is the right choice.
What is an algebraic expression?An algebraic expression is a combination of variables and constants, as well as algebraic operations (addition, subtraction, etc.). Terms are the building blocks of expressions.
How do we solve the given question?We are asked to find the algebraic expression that represents this word description The product of two and the difference between a number and eleven.
We let the unknown number be x.
We are said that the expression is the product of two and the difference between a number and eleven.
The difference between a number and eleven can be written as x - 11.
Now we need the product of this and two, that can be written as:
2(x - 11).
∴ The algebraic expression that represents the word description: The product of two and the difference between a number and eleven is 2(x - 11). Hence, option d is the right choice.
Learn more about algebraic expressions at
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A university's freshman class has 5000 students. 80% of those students are majoring
in Computer Science. How many students in the freshman class are Computer
Science majors?
Answer:
4000
Step-by-step explanation:
5000 * .8 is 4000
Answer:
4000 students
Step-by-step explanation:
Number of computer science majors = 80% of 5000
= 0.8 * 5000
= 4000
pleaaw show graph f(x) = -x+6
This isn't an answer, rather a suggestion. I would use the website desmos to help me. But for future reference I can help you.
f(x) = - x+6 is similar to y=-x+6.
Simply plug in random numbers into the variable x (preferably ones that could fit on your paper like 0,1,2,3...)
This line plot shows the number of runs scored in each game by little league team last season. I WILL REWARD BRAINLEST .
Answer:
C
Step-by-step explanation:
i need some help( the workers can unload 28 trucks in 7 hours what is the unit rate for this situation) im confused!
Answer:
4 trucks per hour
Step-by-step explanation:
28/7 = 4
Answer:
Not completely sure but I think it is 4 trucks per hour
Step-by-step explanation:
If they can do 28 in 7 hrs u divide both by 7 to get 4 trucks per hour?
ami and ria are playing a game where one of them would pick a card and the other would guess the number' it is a odd number its compositenumber by 3 differnet prime numbers which one of the folowing could be ria's guess ............. A;30 B;75 C;189 D;315
Answer:
[tex]\huge \boxed{\mathrm{\bold{D.} \ 315}}[/tex]
Step-by-step explanation:
Odd numbers from the list are 75, 189, and 315.
75, 189, and 315, are composite numbers.
Prime factorization of 75 = 3 × 5 × 5
Prime factorization of 189 = 3 × 3 × 3 × 7
Prime factorization of 315 = 3 × 3 × 5 × 7
315 is an odd number, and a composite number that is divisible by 3 different prime numbers.
Step-by-step explanation:
Odd numbers from the list are 75, 189, and 315.
75, 189, and 315, are composite numbers.
Prime factorization of 75 = 3 × 5 × 5
Prime factorization of 189 = 3 × 3 × 3 × 7
Prime factorization of 315 = 3 × 3 × 5 × 7
315 is an odd number, and a composite number that is divisible by 3 different prime numbers.
Given h(x) = 5 - 9x, find h(8).
Answer:
h(8)=-67
Step-by-step explanation:
We know that x=8 so we solve the solution on the right by replacing x with 8
5-9*8
5-72
-67
So h(8)=-67
please hwelp please
Answer:
2⁸ > 2.38 × 10² > 6³ > 2.16 × 10¹ > [tex]\sqrt{300}[/tex], 300%
Step-by-step explanation:
Given numbers are,
2.38 × 10², √300, 2⁸, 300%, 6³, 2.16 × 10¹
We have to arrange these numbers in the decreasing order(from greatest to least)
2.38 × 10² = 2.38 × 100 = 238
√300 = 10√3 ≈ 17.32
2⁸ = 256
300% = [tex]\frac{300}{100}[/tex] = 3
6³ = 216
2.16 × 10¹ = 21.6
Therefore, decreasing order (from the greatest to least) will be,
256 > 238 > 216 > 21.6 > 17.32 > 3
2⁸ > 2.38 × 10² > 6³ > 2.16 × 10¹ > [tex]\sqrt{300}[/tex], 300%
Please help. I will mark brainliest.
Answer:
hope this helps
Step-by-step explanation:
Which One Doesn't Belong?
1 ticket for $1.80
$9 buys 5 tickets
9 tickets for $15
10 prizes for $18
Answer:
9 tickets for $15
Step-by-step explanation:
9×1.80=16.20
The graph of a linear function is shown.
A coordinate plane with a straight line drawn passing through (negative 5, negative 3) and (5, negative 3).
Which word describes the slope of the line?
positive
negative
zero
undefined
Answer:
zero
Step-by-step explanation:
the slope of a function m: y2-y1/x2-x1
m=-3-(-3)/5-(-5)
m=0/10=0
The slope of the line drawn passing through (- 5, - 3) and (5, - 3) is zero, so option C is correct.
What is line?An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.
Given:
straight line drawn passing through (- 5, - 3) and (5, - 3)
Calculate the slope of the line as shown below,
[tex]m = y_2 - y_1 / x_2 - x_1[/tex]
m = slope
m = -3 - (-3) / 5 - (-5)
m = 0 / 10
m = 0
Therefore, the slope of the line drawn passing through (- 5, - 3) and (5, - 3) is zero.
To know more about the line:
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square root of 12544 in division method
Answer: the answer is 11 to the second power . (omg nvm, no it isn't ... i honestly dont know)
Step-by-step explanation:
9. Ryan is remodeling his kitchen floor, which is 110 square feet. He used
31.5 tiles in his kitchen. If Ryan wants to remodel his bathroom, which is 28
square feet, approximately how many tiles would he need? *
Answer:
8 tiles
Step-by-step explanation:
For the kitchen floor, each title that ryan used has an area approximately of 110/31.5 ≈ 3.49 square feet
For his bathroom, Ryan would need about: 28/3.49 ≈ 8 titles