Given:
The radical expression is
[tex]\dfrac{1+\sqrt{5}}{\sqrt{2}}[/tex]
To find:
The value of the given expression after rationalizing the denominator.
Solution:
We have,
[tex]\dfrac{1+\sqrt{5}}{\sqrt{2}}[/tex]
Multiply numerator and denominator by [tex]\sqrt{2}[/tex].
[tex]=\dfrac{(1+\sqrt{5})\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}[/tex]
[tex]=\dfrac{\sqrt{2}+\sqrt{5}\sqrt{2}}{2}[/tex]
[tex]=\dfrac{\sqrt{2}+\sqrt{10}}{2}[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
Therefore, the required expression after rationalizing the denominator is [tex]\dfrac{\sqrt{2}+\sqrt{10}}{2}[/tex].
8 is what percent of 40
Answer:
20%
Step-by-step explanation:
[tex]\frac{8}{40}*100=2*10=20\\[/tex]%
Answer:
8 is 20% of 40
Each pair of polygons is similar. Find each missing side measure.
( 1 question for two problems)
Answer:
for the fist one is 44 and the last one is 8
Step-by-step explanation:you just divide the last answer incase you dont understand here is a better explanation you divide 24 by 6 and you get 4 not 11 times 4 equals 44 and for the second one you do the same thing 96 divided by 12 equals 8 so 64 divided by 8 equals 8
A dog shelter housed 24 puppies last month. This month, 39 puppies are at the shelter. What is the percent of change?
Answer:
62.5%
Step-by-step explanation:
can i have brainliest
Answer:
62.5%
Step-by-step explanation:
39 - 24 = 15 ÷ 24 = 0.625 x 100 = 62.5%
:)
Which expression is equivalent to -3(4-2g)-6?
Answer:
6g-6 will be the answer
Step-by-step explanation:
[-3(-2g)+(-3)(4)]-6
6g(-12-6)
6g-6
Hiya everyone , Can you guys help me if you want answer one question each . I’m giving brainlist and points
Answer:
I think its 60x?
Step-by-step explanation:
There are 325 seventh graders in 12 classes. Determine the unit rate
Answer:27
Step27-by-step explanation:
How many flowers, spaced every 6 in., are needed to surround a circular garden with a 100ft radius? Use 3.14 for π.
Thanks in advance!
Answer:
the answer is 1256 flowers
First, we need to calculate the circumference of the circle. The formula for the circumference of the circle is:
C=2πr
If we substitute 100ft for r and use 3.14to approximate π we get a circumference of:
C=2⋅3.14⋅100ft
C=6.28⋅100ft
C=628ft
We can now convert the circumference in feet to inches;
To find how many flowers we need we can divide the circumference in inches by the 6 inches between flowers giving:
7536in×1flower
6in⇒
7536in×1 flower6in⇒
7536×1 flower6⇒
1255 flowers
Solve -2/5t = 20
A. t = 8
B. t = -8
C. t = 50
D. t = -50
A circle has a diameter with endpoints at -2 + i and -6 -11i. What is the center of the circle?
Answer: -4 -5i
Step-by-step explanation:
Edg
Answer:
B
Step-by-step explanation:
Edge2021
MY BRAIN LITERALLY ISNT WORKING ANYMORE
Answer:
Try using a website calculator, or just try and ask a parent guardian for help
Which two numbers have a product of -21 (multiply to -21) and a sum of 4(add to 4)?
Answer:
+7 and -3
Step-by-step explanation:
+7 and -3
If you deposit $300 in an account with a 6% interest rate, how much will be in your account after 1 year? $
If you leave this money in the account, how much will be in your account after 2 years?
Answer:
336
Step-by-step explanation:
The first year added $18 so just double the lat 2 digits
The amount $300 after 1 year and 2 year become $318 and $337.08 respectively.
It is given that the deposit amount is $300 in an account with a 6% annual interest rate.
It is required to find the money after 1 year and 2 year.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A= P(1+r)^t[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
t = How long the money is deposited or borrowed (in years)
We have P = $300
r = 6% = 0.06
t = 1 years
Putting the values in the formula, we get;
[tex]\rm A= 300(1+0.06)^1\\\\\rm A = 300(1.06)\\\\\rm A = \$318[/tex]
After 2 year:
[tex]\rm A= 300(1+0.06)^2\\\\\rm A = 300(1.06)^2\\\\\rm A = \$337.08[/tex]
Thus, the amount $300 after 1 year and after 2 year become $318 and $337.08 respectively.
Learn more about the compound interest here:
brainly.com/question/26457073
Your Numbers are; 25, 75, 50, 1, 9, 3 and your Target is 386 How do i get to 386 using only these numbers once and I can use Subtraction, Addition, multiplication, ad division.
Answer:
You must order the operations in the way that it unfolds in the explanation;:
Step-by-step explanation:
(25 x 9) +75 + 50+ 9 x ( 3 + 1)
When performing the operations we have the following results:
(25 x 9) =225 +75= 300+50 = 350+9 = 359 x (3+1 )
Now we must solve the following: 359 x (4) = 386
HELP PLZ!!! i have trouble with this!!!
HELP PLS THIS IS DUE TOMORROW WHICH IS IN 3 HOURS
Answer:
Is that your answer ☺️☺️☺️
Step-by-step explanation:
The answer for the above question is 5.75
9.6 x 10^9 as a normal number
Answer:
9,600,000,000
Step-by-step explanation:
I am not sure it right but I hope it's helpful.
The cafeteria sells, at most 200 meals at day. The daily profit is moderate by p (m)=2.25m-85 where the profits a function of the number of meals sold. If the cafeteria sold 189 meals ,how much profit did they make?
Answer:340.25
Step-by-step explanation:
Given
Daily profit is given by
[tex]p(m)=2.25m-85[/tex]
If the number of meals sold is 189
Put [tex]m=189[/tex] in profit function
[tex]\Rightarrow p(189)=2.25\times 189-85\\\Rightarrow p(m)=425.25-85=340.25[/tex]
If you vertically stretch the exponential function f(x) = 2* by a factor of 4, what
is the equation of the new function?
A. g(x) = 4.2%
B. g(x) = 24
C. g(x) = . 2*
D. g(x) = 2 .4*
Answer:
A. g(x) = 4.2%
Step-by-step explanation:
If you vertically stretch the exponential function f(x) = 2* by a factor of 4, what
is the equation of the new function?
A. g(x) = 4.2%
B. g(x) = 24
C. g(x) = . 2*
D. g(x) = 2 .4*
im not sure
The vertical stretch of the transformation of the function is g ( x ) = 4 ( 2 )ˣ
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 2ˣ
Now , the vertical stretch of a factor of 4 is given by
The transformed function is g ( x )
g ( x ) = 4 f ( x )
On simplifying , we get
g ( x ) = 4 ( 2 )ˣ
Hence , the transformed function is g ( x ) = 4 ( 2 )ˣ
To learn more about transformation of functions click :
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The complete question is attached below :
If you vertically stretch the exponential function f(x) = 2* by a factor of 4, what
is the equation of the new function?
A. g(x) = 4.2%
B. g(x) = 24
C. g(x) = . 2*
D. g(x) = 2 .4*
(GIVING BRAINLIEST!!!!!!!!!)
What is the sum of the lengths of the shortest and longest ski trial?
Answer: Use a calculator
Step-by-step explanation:
Ti-83
Let y=f(x) be the particular solution to the differential equation dy/dx=(2x−1)/y^2 with the initial condition y(0)=3. Which of the following is an expression for f(x) ?
Answer:
y= (3x^2-3x+27)^1/3
Step-by-step explanation:
Determine the unknown side of the similar triangle.
A)
2
B)
3
D)
5
Which number is larger? (1 mark)
0.67 or
2/3
Answer:
0.67
Step-by-step explanation:
2/3= to 0.66 which means 0.67 would be technally larger than 0.66
Combine like terms to create an equivalent expression.
Answer:
1/6a - 1/6
Step-by-step explanation:
Answer:
1/6a-1/6
Step-by-step explanation:
only first two terms are alike
help help help
blah blah blah
Answer:
It is c blah blah blah
Step-by-step explanation:
pls give brainliest blah blah blah
Answer:
?
Step-by-step explanation:
need help with this one 105.6+37.1
Answer: 142.7
Step-by-step explanation:
Guys please, please help!!
Answer properly!!
1. What is the domain? range?
2. Does the relation represent a liner equation? Why?
9514 1404 393
Answer:
1. domain and range are all real numbers
2. the relation is linear
Step-by-step explanation:
When the graph of a function is a straight line, the relation is linear. (That's what linear means.)
A linear relation is of degree 1, so has odd degree. Any odd-degree polynomial function has a domain and range of "all real numbers."
Answer:
1. Domain : all the real numbers
Range = all the real numbers
yes, this relation represents a linear function. (linear functions are always a straight line when graphed.)
which fraction are equivalent to 1/8
Divide
R18000 into
2:3??
Answer:
3000
Step-by-step explanation:
I hope this answer will help you
Answer:3000 would be the answer.
Step-by-step explanation:
At a competition 24 of 40 members of a middle school band won a metal. What percentage of the members of the band won a medal
Answer:
Step-by-step explanation:
24/40=60%
The percentage of the members of the band won a medal is 60%.
Given that, at a competition 24 of 40 members of a middle school band won a metal.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
The fraction for 24 of 40 members is
24/40
So, the percentage
= 24/40 ×100
= 60%
Hence, the percentage of the members of the band won a medal is 60%.
To learn more about the percentage visit:
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tammy has 5 cookies john took 3 how many cookies does tammy have now
Answer:
Tammy has 2 cookies.
Step-by-step explanation:
Subtract 5-3.