Step-by-step explanation:
squaring both side
(18√8-8√18)^2=(√n)^2
(18√8)^2+(8√18)^2-(2)(8√18)(18√8)=n
after solving it we will get
3744-3456=n
n=288
=====================================================
Explanation:
Simplify the first part of the left side
[tex]18\sqrt{8} = 18\sqrt{4*2}\\\\18\sqrt{8} = 18\sqrt{4}*\sqrt{2}\\\\18\sqrt{8} = 18*2*\sqrt{2}\\\\18\sqrt{8} = 36\sqrt{2}[/tex]
And do the same for the second part of the left side
[tex]8\sqrt{18} = 8\sqrt{9*2}\\\\8\sqrt{18} = 8\sqrt{9}*\sqrt{2}\\\\8\sqrt{18} = 8*3*\sqrt{2}\\\\8\sqrt{18} = 24\sqrt{2}[/tex]
For each simplification, you are trying to factor the stuff under the square root so that you pull out the largest perfect square factor possible.
-------------------------
The original equation [tex]18\sqrt{8}-8\sqrt{18} = \sqrt{n}[/tex] turns into [tex]36\sqrt{2}-24\sqrt{2} = \sqrt{n}[/tex]
We have the common factor of [tex]\sqrt{2}[/tex] so we can combine like terms on the left side ending up with [tex]12\sqrt{2}[/tex]
-------------------------
So,
[tex]18\sqrt{8}-8\sqrt{18} = \sqrt{n}\\\\36\sqrt{2}-24\sqrt{2} = \sqrt{n}\\\\12\sqrt{2} = \sqrt{n}\\\\\sqrt{n} = 12\sqrt{2}\\\\\left(\sqrt{n}\right)^2 = \left(12\sqrt{2}\right)^2\\\\n = 288[/tex]
Yes it is possible to express [tex]18\sqrt{8}-8\sqrt{18}[/tex] as multiples of the same square root. In this case, we can express the left hand side of the original equation as 12 multiples of [tex]\sqrt{2}[/tex]
A right triangle has a side of length 1 fourth and a hypotenuse of length 1 third. What is the length of the other side?
Answer:
The other side = [tex]\frac{1}{12}[/tex] units
Step-by-step explanation:
A right triangle has a side of length [tex]\frac{1}{4}[/tex] units and;
the hypotenuse is [tex]\frac{1}{3}[/tex]
According to Pythagorean theorem,
a² + b² = c² , where a and b are the two legs of a triangle and c is the hypotenuse.
Lets say a² = [tex](\frac{1}{4}) ^2[/tex] and c² = ([tex](\frac{1}{3} )^2[/tex]
b² = c² - a²
b² = [tex]\frac{1}{9}[/tex] - [tex]\frac{1}{16}[/tex] = [tex]\frac{1}{144}[/tex]
So b = [tex]\sqrt{1/144}[/tex] = [tex]\frac{1}{12}[/tex] units.
So the other side = [tex]\frac{1}{12}[/tex] units.
How is this wrong? Reflect shape A in the x-axis.
Answer:
Your answer is wrong because you reflected it over the y-axis, not the x-axis. To find the correct answer, plot a triangle with vertices at (1, -1), (4, -1) and (4, -3). Note that we switch the sign of the y-coordinate when reflecting over the x-axis.
Use the Quadratic Formula to solve y=3x2+9x-13
The perimeter of a triangle is 7 a − 11 b . If two of its sides are 2 a + b and a − 9 b , what is the third side?
Answer:
To find the missing side we need to calculate the sum of the two given sides and then subtract that from the perimeter.
7a - 11b - (2a + b + a - 9b)
= 7a - 11b - (3a - 8b)
= 7a - 3a - 11b + 8b
= 4a - 3b
Determine the intercepts of the line.
Solve this equation with a variable term on both sides. 5.1y = –0.3y – 21.6 What is the solution? y =
Answer:
y = -4
Step-by-step explanation:
5.1y = –0.3y – 21.6
5.1y + 0.3y = -21.6
5.4y = -21.6
y = -4
Answer:
y= -4
Step-by-step explanation:
Solve this equation with a variable term on both sides.
5.1y = –0.3y – 21.6
What is the solution?
y = -4
Seven lamps labeled A through G are arranged in a row. Each lamp has its own switch. Now lamps A, C, E, and G are on and other lamps are off. Ben starts to flip each switch from A to G the following way: if the lamp is on, he turns it off; if the lamp is off, he turns it on. He repeats the pattern until he flips the switches 2011 times. Which lamps are on finally? dont bully me im in 5th grade also this is due in 4 days
Answer:
O=on
X=off
OXXOXOX after 2011 flips.
Step-by-step explanation:
There are many ways to get the answer.
A. Actually flip them 2011 times.
One way is to put 7 cards on the table, and name them A to G, with A,E,C,G facing up, and the other facing down.
Now flip the cards in order A to G 2011 times and find the answer.
Since you have four days to find the answer, you only have to flip about 500 times a day.
B. Simplify procedure A above.
Do the same as above, actually flip the cards, but only 14 times.
You will find that the cards are restored to the original position after 14 flips.
If we divide 2011 by 14, we get a quotient of 143 with a remainder of 9.
We know we don't have to make 143 sets of 14 flips. We only need to make 9!
Then again, we know that after 7 flips, the lights will be all opposite.
If O=on, and X=off then the situations are
OXOXOXO initial
XOXOXOX after 7 flips
OXXOXOX after 9 flips, which is also after 2011 flips, and that is the final answer.
What is the solution set of {xlx<-3}{xlx>5)?
all real numbers
all numbers except -3 and 5
the empty set
the numbers between -3 and 5
Explanation:
The first set {x | x < -3} means we're talking about numbers smaller than -3. This includes -4, -5, -6, etc
The second set {x | x > 5} means we're talking about numbers larger than 5. So things like 6,7,8,...
Combining both at the same time, we want to find a number that is both smaller than -3 and larger than 5. This is impossible as no such number exists. You can pick one or the other, but not both.
There are no solutions. Since there are no solutions, the solution set is the empty set.
Susie needs to melt some chocolate to use in a recipe she found in a cookbook. The cookbook calls for melting the chocolate at a low temperature of 30 degree celsuis . What temperature in degrees Fahrenheit will she need to set her stove to melt the chocolate? Round your answer to the nearest whole degree. The solution is
Answer:
The temperature needed to melt the chocolate = 86 degree Fahrenheit.
Step-by-step explanation:
The given temperature = 30 degrees Celsius.
Now we have to calculate the temperature in Fahrenheit. So just covert the given degree Celsius into Fahrenheit. Therefore multiply the 30 with 9/5 and add the 32 so the remaining answer is the temperature in the Fahrenheit. Below is the calculation to convert the degree Celsius into Fahrenheit.
Temperature = 30 × 9/5 + 32 = 86 Fahrenheit.
A bank account that allows your to access your money quickly and easily is called: a:deposit
b:free
c:joint
d:"liquid
Answer:
D. Liquid
Step-by-step explanation:
A liquid bank account is a bank account that allows you to withdraw and deposit money easily without any penalties.
A deposit bank account is your standard checking account.
There is no such thing as a "free" bank account (it's not a type of bank account).
A joint bank account is a bank account shared by 2 or more people.
what shows these from least to greatest 1/10, 0.9, 3/10
Answer:
1/10, 3/10, 0.9
Step-by-step explanation:
Convert to decimals.
1/10 = 0.1
0.9
3/10 = 0.3
Arrange from least to greatest.
0.1, 0.3, 0.9
1/10, 3/10, 0.9
What are the values of x in the equation 4x2 + 4x – 3 = 0
Answer:
x = -3/2, 1/2
Step-by-step explanation:
(2x + 3)(2x - 1) = 0
2x + 3 = 0, 2x = -3, x = -3/2
2x - 1 = 0, 2x = 1, x = 1/2
1.) The ratio of red flowers to yellow flowers is 4 to 5. If there are 48 red
flowers, what is the number of yellow flowers? *
Answer:
Son 27 flores amarillas, redondeando*
Step-by-step explanation:
pues pongamos de constante f, entonces la formula sera 4f+5f=48 luego de esto seguira 9f=48 lo que dara como respuesta 5,3; reemplazamos la constante por 5,3 lo que quedaria como: 4x5,3 que es igual a 21,2 (el numero de flores rojas); luego reemplazamos la constante en 5f lo que quedaria como 5x5,3 lo que da 26,5 pero si lo redondeamos nos da 27 y listo uwu
What is the quotient of 8 1/4×3/4
Answer:
6 3/16
Step-by-step explanation:
8.25x.75=6.1875, or 6 & 3/16
Answer:
[tex]6\frac{3}{16}[/tex]
Step-by-step explanation:
[tex]8 \frac{1}{4} * \frac{3}{4} \\\\\frac{33}{4} * \frac{3}{4} = \frac{99}{16} \\\\\frac{99}{16} = 6\frac{3}{16}[/tex]
Hope this helps! :)
- Clout Answers
Brainliest is greatly appreciated :)
Una piscina se llena a razón de 250L por hora. ¿Cuántos litros de agua tiene la piscina después de 7 horas?
Answer:
se llena 1750L en 7 horas.
Step-by-step explanation:
Un equipo de futbol esta compuesto por 13 personas, contando el entrenador y el masajista. Tras jugar un partido, reciben para todos un cheque con 16_41 dolares. Sabiendo que en el lugar de "_" hay una cifra que no le queremos decir y que cada uno recibe una cantidad exacta igual¿a cuanto le tocara cada uno? que sean concretos pls
Answer:
Ok, tenemos que el cheque es de 16_41.
Y también sabemos que podemos dividir este numero entre 13 personas, de acá podemos concluir que este numero es un múltiplo de 13.
Sea el dígito faltan igual a x
Sabemos que un numero es divisible por 13 cuando la suma de los productos de las unidades, decenas, centenas,... De dicho número por los dígitos contenidos en la lista {1, –3, –4, –1, 3, 4 } (en ese orden) es 0 o múltiplo de 13.
Entonces, tenemos:
16x41:
1*1 + 4*(-3) + x*-4 + 6*-1 + 1*3 = 1 - 12 -4x - 6 + 3
=-14 - 4*x
entonces, -14 - 4*x tiene que ser igual a 0, 13 o algún múltiplo de 13.
Como ambos términos son negativos, no podemos tener esta igualdad igual a 0 o a 13, entonces apuntamos por el siguiente múltiplo de 13 después de -13 (es decir, 13*-2 = -26)
-26 = -14 - 4*x
-26 + 14 = -4*x
-12 = -4*x
-12/-4 = 3 = x
Entonces nuestro dígito es igual a 3, y nuestro numero es:
16341.
Ahora podemos probar:
16241/13 = 1257
Es decir, cada miembro recibe 1257.
CAN YOU GUYS PLEASE ANSWER THE QUESTION RIGHT FOR ONCE
Answer:
Step-by-step explanation:
1000*PI*4/3
4000/3*PI
1333.3 (3 REPEATING)*PI
4186.6 (6 REPEATING)
BRAINLIEST PLSSSSSSSSSSSSS
Answer:
4186.67
Step-by-step explanation:
volume of sphere = 4πr³/3
4 × 3.14 × 10 × 10 × 10 ÷ 3 = 4186.67cm³
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
[tex]t = 2.86 \: s[/tex]
The ball remains in the air for 2.86 seconds.
Step-by-step explanation:
A baseball is hit into the air, and its height above the ground is described by the function
[tex]H(t) = -16t^2 + 45t + 2[/tex]
Where H(t) represents the height of the ball t seconds after it is hit.
The ball remains in the air before it hits the ground.
When the ball hits the ground,
[tex]H(t) = 0[/tex]
So,
[tex]0 = -16t^2 + 45t + 2[/tex]
The equation may be solved using the quadratic formula.
[tex]$t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]
Where
[tex]a = -16 \\\\b = 45 \\\\c = 2 \\\\[/tex]
So,
[tex]t=\frac{-(45)\pm\sqrt{(45)^2-4(-16)(2)}}{2(-16)} \\\\t=\frac{-45\pm\sqrt{(2025 - (-128)}}{-32} \\\\t=\frac{-45\pm\sqrt{(2153}}{-32} \\\\t=\frac{-45\pm 46.4004}{-32} \\\\t=\frac{-45 + 46.4004}{-32} \: and \: t=\frac{-45 - 46.4004}{-32}\\\\t= -0.04 \: and \: t = 2.86 \\\\[/tex]
Since the time cannot be negative, discard the negative value and accept the positive value
[tex]t = 2.86 \: s[/tex]
Therefore, the ball remains in the air for 2.86 seconds.
PLEASE HELP ! ! ! pleaseeeee ! ! ! ! ! :C
Answer:
5/2
Step-by-step explanation:
When you multiply exponents, you add the powers, and when you subtract exponents, you subtract the powers.
Step 1: Move negative exponents
[tex]\frac{2^25^6}{2^35^35^2}[/tex]
Step 2: Combine exponents
[tex]\frac{2^25^6}{2^35^5}[/tex]
Step 3: Remove like terms
[tex]\frac{5^1}{2^1}[/tex]
Step 4: Exponent
5/2
PLEASE HELP ME I DO NOT HAVE TIME AND NEED TO PASS
Answer:
X=8.8 and Y=1
Step-by-step explanation:
Yuri thinks that 3/4 is a root of the following function. q(x) = 6x3 + 19x2 – 15x – 28 Explain to Yuri why 3/4 cannot be a root.
Answer:
Yuri is not correct.
Step-by-step explanation:
Given expression is q(x) = 6x³ + 19x² - 15x - 28
If 'a' is a root of the given function, then by substituting x = a in the expression, q(a) = 0
Similarly, for x = [tex]\frac{3}{4}[/tex],
[tex]q(\frac{3}{4})=6(\frac{3}{4})^3+19(\frac{3}{4})^2-15(\frac{3}{4})-28[/tex]
= [tex]6(\frac{27}{64})+19(\frac{9}{16})-15(\frac{3}{4})-28[/tex]
= [tex](\frac{162}{64})+(\frac{171}{16})-(\frac{45}{4})-28[/tex]
= [tex](\frac{162}{64})+(\frac{684}{64})-(\frac{720}{64})-\frac{1792}{64}[/tex]
= [tex]-\frac{1666}{64}[/tex]
= [tex]-\frac{833}{32}[/tex] ≠ 0
Therefore, Yuri is not correct. x = [tex]\frac{3}{4}[/tex] can not be a root of the given expression.
Answer:
Did you include the following in your response?
According to the rational root theorem, potential rational roots must be in theform p/q where p is a factor of the constant term and q is a factor of the leading coefficient.
3 is not a factor of 28, and 4 is not a factor of 6. So, 3/4 does not satisfy the rational root theorem.
Substituting 3/4 in for x does not result in 0. The remainder is not 0 when dividing by
x – 3/4
Step-by-step explanation:
sample response edgen 2020
Can someone HELP PLEASE
Answer:
∠ ABE = 46°
Step-by-step explanation:
Since BE bisects ∠ ABC , then
∠ EBC = ∠ ABE, substitute values
4x - 6 = 2x + 20 ( subtract 2x from both sides )
2x - 6 = 20 ( add 6 to both sides )
2x = 26 ( divide both sides by 2 )
x = 13
Thus
∠ ABE = 2x + 20 = 2(13) + 20 = 26 + 20 = 46°
Line segment XY is tangent to circle Z at point U. Circle Z is shown. Line segment U V is a secant. Line segment X Y is a tangent and intersects the circle at point U. The measure of arc U V is 84 degrees. If the measure of Arc U V is 84°, what is the measure of Angle Y U V?
Answer: A.(42)
Step-by-step explanation: got it right on edg2020
The measure of angle YUV is 132 degrees.
AngleAn angle is formed from the intersection of two lines at a point.
In triangle UVZ, UZ = VZ (isosceles), hence ∠ZUV = ∠ZVU:
∠ZUV + ∠ZVU + ∠UZV = 180 (sum of angles in a triangle)
2∠ZUV + 84 = 180
∠ZUV = 48°
∠ZUV + ∠YUV = 180° (sum of angles in a straight line)
48 + ∠YUV = 180
∠YUV = 132°
The measure of angle YUV is 132 degrees.
Find out more on Angle at: https://brainly.com/question/25770607
Example 2
Assuming that the graph of y = x2 – 3x + 1 has been drawn, find the equation of the line which
should be drawn to solve the equation:
x² - 4x +3=0
Y is equals to x to the power of 2 -3x+1 It’s not 2x incase you don’t get it please help!!ʕ•ᴥ•ʔ
Answer:
y=x-2
Step-by-step explanation:
If you have drawn the graph of [tex]y = x^2 - 3x + 1[/tex].
To determine the equation of the line which should be drawn to solve the equation: x² - 4x +3=0
Simply carry out the subtraction: [tex]x^2 - 3x + 1 -(x^2 - 4x +3)[/tex]
[tex]\implies x^2 -3x + 1-x^2 + 4x -3 \\= x^2 - x^2+ 4x - 3x-3 + 1\\=x-2[/tex]
The equation of the line which should be drawn is: y=x-2
What this means is simply:
If
[tex]y = x^2 - 3x + 1$ and $y=x-2,$ then:\\x^2 - 3x + 1=x-2\\x^2 - 3x + 1-x+2=0\\x^2 - 4x + 3=0[/tex]
How do I get the derivative of y=xtanx ?
Answer:
[tex]\frac{dy}{dx}\ = tanx + x *sec^{2}x[/tex]
Step-by-step explanation:
[tex]y=xtanx[/tex]
Differentiate with respect to x by using product rule .
[tex]y=xtanx\\\\\frac{dy}{dx}\ = tanx * \frac{dx}{dx}\ + x * \frac{d(tanx\ )}{dx} \\As\ \ [\frac{d(tanx)}{dx} =\frac{1}{sec^{2}x } \ ]\ so\\\\\\\\\[/tex]
[tex]\frac{dy}{dx}\ = tanx + x * \frac{1}{cos^{2}x \ } \\\frac{dy}{dx}\ = tanx + x *sec^{2}x[/tex]
find the probability of rolling a seven first and then a four when a pair of dice is rolled twice
Answer:
1/72
Step by step:
The probability of rolling a seven is 1/6 as there are 36 combinations you can roll on two dice, and six of them add up to 7. The probability of rolling a 4 is 1/12 as there are 3 ways to roll a 4. Multiplying these together you get 1/72.
Nick is undertaking an expedition across the desert from A to B. In order to complete his journey he starts at A, walks 7km West and then 24km North until he arrives at B. How much shorter would Nick's journey have been if he had gone by the shortest route across the desert?
Answer:
Shorting distance = 6 km
Step-by-step explanation:
Given:
Distance walk = 7 km west
Distance walk = 24 km north
Find:
Shorting distance
Computation:
Using Pythagorean theorem:
Magnitude AB = √AC² + BC²
Magnitude AB = √7² + 24²
Magnitude AB = √49 + 576
Magnitude AB = 25 Km
Total distance Nick walk = 7 km + 24 km
Total distance Nick walk = 31 km
Shorting distance = 31 km - 25 km
Shorting distance = 6 km
HELP PLZ Javier and his study group designed a word problem, equation, table, and graph that were all supposed to represent the same information, as shown below. Word Problem A movie theater charges $8.00 for each ticket. What is the total cost, y, for x tickets? Equation y = 8x Graph Movie Theater Costs A graph with number of tickets sold on the x-axis and total cost on the y-axis. A line goes through points (8, 1), (16, 2). Table A 2-column table with 4 rows. Column 1 is labeled x with entries 5, 8, 12, 13. Column 2 is labeled y with entries 40, 64, 96, 104. Which piece of information does not represent the same information as the other three parts? word problem equation graph table
Answer:
Graph
Step-by-step explanation:
The graph swapped the y and x axis values.
Answer:
Graph
Step-by-step explanation:
HELP PLEASE!!
Measure of Arc JKL in degrees??
Answer:
Arc JKL = 120 degrees
Step-by-step explanation:
90 + 30 = 120
additional expenses made after purchasing an article added to its actual cost are called————
Answer:
by definition : Additional expenses made after buying an article are included in the cost price and are known as overhead expenses.
Step-by-step explanation: