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help
Answers
Answer:
15.37
Step-by-step explanation:
Hope it helps
Related Questions
\sqrt{53+20\sqrt{7}} can be written in the form a+b\sqrt{c}, where a, b, and c are integers and c has no factors which is a perfect square of any positive integer other than 1. Find a+b+c.
Answers
=====================================================
Explanation:
Since the range of [tex]y = \sqrt{x}[/tex] is [tex]y \ge 0[/tex], this means that [tex]\sqrt{53+20\sqrt{7}}[/tex] cannot be negative.
-----------------------------------
Let's set the given nested radical expression equal to the form a+b*sqrt(c), and then square both sides to see what happens
[tex]\sqrt{53+20\sqrt{7}} = a+b\sqrt{c}\\\\\left(\sqrt{53+20\sqrt{7}}\right)^2 = \left(a+b\sqrt{c}\right)^2\\\\53+20\sqrt{7} = a^2+2ab\sqrt{c}+b^2c\\\\53+20\sqrt{7} = (a^2+b^2c)+2ab\sqrt{c}\\\\[/tex]
Equating the corresponding parts shows that
[tex]53=a^2+b^2c \text{ and } 20\sqrt{7} = 2ab\sqrt{c}\\\\[/tex]
Therefore c = 7 must be the case to allow the radicands to match up.
-----------------------------------
Since c = 7, we can update the first equation like so
[tex]53=a^2+b^2c\\\\53=a^2+b^2*7\\\\53=a^2+7b^2\\\\[/tex]
We'll come back to this later.
-----------------------------------
Focus on [tex]20 = 2ab\sqrt{7}[/tex]
Note how 20 and 2ab are coefficients outside the root. So 20 = 2ab leads to ab = 10.
Here are all the ways to multiply to 10 where a,b are integers
1*10 = 10-1*(-10) = 102*5 = 10-2*(-5) = 10So we could have these possibilities.
a = 1, b = 10a = 10, b = 1a = -10, b = -1a = -1, b = -10a = 2, b = 5a = 5, b = 2a = -5, b = -2a = -2, b = -5If you try all of those a,b combinations with [tex]53 = a^2 + 7b^2[/tex], then you should find that a = 5 and b = 2 works. I'm skipping a bunch of steps here. All you basically do is plug and chug.
Due to symmetry, we could have a = -5 and b = -2 as another solution to [tex]53 = a^2 + 7b^2[/tex]. However, if a < 0 and b < 0, then [tex]a+b\sqrt{c}[/tex] would be negative which contradicts the fact that [tex]\sqrt{53+20\sqrt{7}}[/tex] is positive. So we'll ignore any case where a,b are negative.
Therefore, the only combination that works is a = 5 and b = 2
-----------------------------------
Overall, we found that
a = 5b = 2c = 7And therefore,
[tex]\sqrt{53+20\sqrt{7}} = a+b\sqrt{c}\\\\\sqrt{53+20\sqrt{7}} = 5+2\sqrt{7}\\\\[/tex]
You can confirm this with your calculator by taking advantage of the idea "If x = y, then x-y = 0". In other words, if you subtract the left and right sides, you should get 0 as a result (the order of subtraction doesn't matter in this case). Don't forget to use parenthesis correctly, or you may not get 0. It might help to think of it as the form (x) - (y) = 0.
After we confirmed we have the correct a,b,c values, we simply add them up to get a+b+c = 5+2+7 = 14.
PLZ HELP IMAGE BELOW IS THE question TY btw this is from khan if that helps ty!
Answers
Answer:
[tex]a-(-b)>a[/tex]
Step-by-step explanation:
ok so lets round =-3 and b=2
ok so now lets solve -3-(-2)=-3+2
remember when you subtract a negative it is just like adding
so -3+2=-1 and -1 is greater than -3
i hope this helps
If you put that same $1000 with a different company that pays 5% and compounds every six months, how much money will you have on your 18th birthday? Show all your work.
Answers
What is the slope of a line passing through the points (2, 5) and (0, −4)?
Enter your answer in the box.
Answers
HELP MEEHHHHHHHHHHHHH.
Answers
Answer:
i think it is 15,840 because if you multiply 3 by 5,280 you will get 15,840
Step-by-step explanation:
A family eats at a restaurant . The bill is$ 42 dollars . The family leaves a tip and spends $ 49.77 dollars .
Answers
Answer:
Since you didnt include an actual question im guessing you are looking for the tip amount which would be $ 7.77
Step-by-step explanation:
49.77-42=7.77
Answer:
♡ hi fairy ♡
-- i'm guessing it's $ 7.77 because i subtracted, you didn't give what you needed to find out. ♡
~ madeline ✧･ﾟ: *✧･ *:･ﾟ✧*
Step-by-step explanation:
Use the associative property to write an expression equivelent to (w + 9)+3
Answers
Answer:
w+ (9+3)
Step-by-step explanation:
pretty simple if I remember how to use that property
Answer:
The equivalent expression for the given expression (w+9)+3 using associative property is w + 12
Solution:
Given that, expression is ( w + 9 ) + 3
We have to find how do we can use the associative property to write an expression equivalent to ( w + 9 ) + 3
The associative property states that you can add or multiply regardless of how the numbers are grouped
By above definition, we get
(a + b) + c = a + (b + c)
So, now let us apply the above property to the given expression,
Then, ( w + 9 ) + 3 = w + ( 9 + 3 ) = w + 12
Hence, the equivalent expression for the given expression is w + 12
Step-by-step explanation:
Its the same thing but I put it it the comments bc why not
(urgent!!! im gonna give brainliest to the one who answers please)
Choose 2 axioms that allows 22 + (m + 8) to be written as m + 30
1. associative - addition
2. distributive
3. associative - multiplication
4. identity - addition
5. commutative - multiplication
6. symmetric
7. commutative - addition
Answers
Answer:1 and 4 (sorry if this isn’t right)
Step-by-step explanation:
find 139.65-59.623 express your answer in decimal form
Answers
Answer:
80.027
Step-by-step explanation:
139.65 - 59.623= 80.027
hope this helps!
Will Give Brainliest if right!
What is the equation of the line? Hint: Use the form y = mx.
Answers
Answer:
slope is 4, so m=4
Step-by-step explanation:
y=4x+0
You do not need to include the 0, but that would be in the place of b.
If you need a coordinate for x and y, use (4,1)
please help me!
Solve the system of linear equations by substitution
y = 3x - 3
Answers
It’s “y=6”
:)
Please tell me if my answer is correct.
Simple Interest
Answers
Answer:
yes
Step-by-step explanation:
Correct-a-mundo !
4000 * .06 * 5 = 1200
please help FAST will try to give branliest
Answers
True or false: Scientific evidence is a clue that helps answer a question or explain something. I will mark brainiest
Answers
Answer:
true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
because with evidence you can verify if a claim is correct, leading you to an answer.
Describe and Correct the error.
Answers
Answer:
they forgot to add the 3x
Step-by-step explanation:
Ed is 7 years older than Ted. Ed’s age is also times Ted’s age. How old are Ed and Ted?
A.
Ted is 15 years old, and Ed is 22 years old.
B.
Ted is 14 years old, and Ed is 21 years old.
C.
Ted is 13 years old, and Ed is 20 years old.
D.
Ted is 12 years old, and Ed is 19 years old.
Answers
Answer:
Ted is 14 years old, and Ed is 21 years old.-B
Step-by-step explanation:
And it's not f'(x) = (0.1x - 1)^2 + 1)
Answers
Answer:
A
Step-by-step explanation:
To reflect a function over the x-axis, we multiply the function by -1. So, if f(x) is the original function, then -f(x) is the function across the x-axis.
To reflect a function over the y-axis, we multiply the inside of the function by -1. So, if f(x) is the original function, then f(-x) is the function across the x-axis.
We have:
[tex]f(x)=(x-1)^2+1[/tex]
Then:
[tex]f(-x)=(-x-1)^2+1=f ^\prime(x)[/tex]
We can see that the choice that resembles this is A. If we let:
[tex]f(-4x)=(-4x-1)^2+1[/tex]
This is a reflection over the y-axis followed by a horizontal compression by a factor of 4.
Hence, our answer is A.
Help 15 points brainliest to whoever is right (ONLY IF YOU'RE RIGHT)
Answers
Answer:
Step-by-step explanation:
Absolute value inside the brackets will always be positive*
1. 7
2.15
3.0
4. -5
5.-3
6.3
7.17
8.5
9.-101
10.0
11.16
12.1
Hope this helped!
Please help!!!
Serious answers only please!!!
I will give brainlest!!
Answers
They gave you area and length, you wanna find width.
Area = 2/3
Length = 1/6
Area = Length * Width
So... Area/Length = Width
2/3 divided by 1/6 = Width
Answer is (A)
Name a unit of measurement that is about the same size of the weight or mass of 20 staples.
a Yard or meter
b Ton
c Kilogram or pound
d Gram
Answers
Answer:
d
Step-by-step explanation:
This is because mas and weight is converted into grams then kilograms and more.
Can You Please Help Me!!! I will mark brainiest for the best answer!
Answers
sorry Malay yung question huhu
Sorry that the answers are long! ONLY GIVE BRANLIST FOR RIGHT ANSWER! Points (−7, 5) and (7, 5) on the coordinate grid below show the positions of two players of a football team:
Which statement best describes the relationship between the positions of the two players?
Player 1's position is Player 2's position reflected across the x-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Player 1's position is Player 2's position reflected across the x-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
Answers
Answer:
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Step-by-step explanation:
Answer:
Player 1's position is Player 2's position reflected across the x-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Since you flip across the grid you would get the same coordinates but the number things would be answer blah blah blah
listen I know this is the answer I don’t have to explain myself.
Coach Siegel has 4/5 yards of string. He needs to make 10 smocks. How much string does each smock get?
a 4/50
b 50/4
c 40/5
d 5/40
Answers
Explanation: 10 divided by 4/5
The graph shows the amount of money paid when purchasing bags of caramel corn at the zoo: A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 3 and 2, 6 and 3, 9. These points are joined by a line. The label on the x-axis is Bags of caramel corn. The title on the y-axis is Total cost in dollars. What does the point (0, 0) on the graph represent? (4 points)
Group of answer choices
A. The cost of zero bags of caramel corn
B. The cost of one bag of caramel corn
C. The cost of two bags of caramel corn
D. The cost of three bags of caramel corn
Answers
Answer:A.
A. The cost of zero bags of caramel corn
Step-by-step explanation:
The point (–7, –3) is located in which quadrant?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answers
Answer:
quadrant lll
Step-by-step explanation:
URING HIBERNATION, A GOPHER’S BODY TEMPERATURE WILL GO FROM 37°CELSIUS TO 0°CELSIUS. FIND THE PERCENT OF CHANGE
Answers
Answer: For instance, during hibernation, the gopher’s body temperature will drop from its normal 37 degrees Celsius to almost 0 degrees Celsius.
Step-by-step explanation:
The equation
P=2(x+5)+3(x−4)
can be used to determine the perimeter of Pentagon QRSTW. When the perimeter is 70 inches, what is the value of x?
Answers
Answer:
5x-2Step-by-step explanation:
2x+2.5+3(x-4)
2x+10+3(x-4)
2x+10+3x+3.-4
2x+10+3x-12
5x+10-12
5x-2
Given that the expression “p dollars for every q items” describes a unit price, which statement must be true?
p = 1
p = q
q = 1
pq = 1
Answers
Explanation
3)_______ _______(s) because the denominator label is for a unit of one. Scale drawings incorporate the ratio as a factor---called the 4) _________ factor. This ratio determines if the original image is 5)_____________ or shrunk. If the Scale Factor is --
6)________________ than 1 ; the original image is shrunk; Conversely, if the SF is >1, then the image is 7)_______________by that ratio. This is like when they dilate you pupils or when you hit the + symbol on the cell phone or computer screen.
I beg yall help me out.....I am so done with life.
Answers
Select and place the symbol that will make the statement true.
6_8
CHOICES ( =, ) ( the ones that have underlines on them)