which expression is equivalent to 4 sqrt 6/3 sqrt 2
12 sqrt 27/2
4 sqrt 24/2
12 sqrt 55296/2
12 sqrt 177147/3
Answers
The provided expression is equivalent to the expression mentioned in option (C) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The number expression is:
[tex]= \dfrac{\sqrt[4]{6} }{\sqrt[3]{2} }[/tex]
After applying the integer exponent property:
[tex]= \dfrac{\sqrt[4]{6} }{\sqrt[3]{2} } \times\dfrac{\sqrt[3]{2^2} }{\sqrt[3]{2^2} }[/tex] (rationalization)
[tex]= \dfrac{\sqrt[4]{6} \times\sqrt[3]{2}}{2 }[/tex]
= [tex]\rm \dfrac{\sqrt[12]{55296} }{2}[/tex]
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
Thus, the provided expression is equivalent to the expression mentioned in option (C) is correct.
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Related Questions
1 - 6m + 2 = -3m - m - 1
Answers
3 = 2m - 1
2m = 4
m = 2
a student has 273 matchsticks with which make a pattern of nested triangles.if all matches are used,how many matchstick will each side of the biggest triangle contain
Answers
The number of matchsticks that each side of the biggest triangle contains is; 137 matchsticks
How to find the biggest side of a triangle?
We know that for a diagram to be a triangle, then two smallest sides must not be greater than the third side.
Now, if there are 273 matchsticks, then the greatest side of the triangle must not be less than 273/2 = 136.5 ≈ 137
Thus, the largest side will have at least 137 matchsticks
6 (2c+3d) = 5 (4c-3d) ; d
Answers
The value of d = [tex]\frac{8c}{33}[/tex] (in terms of c)
How to find d from the equation?
The given equation is:
6 (2c+3d) = 5 (4c-3d)
⇒ 12c + 18d = 20c - 15 d
Grouping like terms,
⇒ 18 d + 15d = 20c - 12c
⇒ 33 d = 8 c
[tex]d =\frac{8c}{33}[/tex]
What is an equation?
A mathematical statement that has two expressions with equal values separated by the ' = ' symbol is called an equation. The values of the variables that must fulfill the equality to constitute the answer are known as the unknowns.The unknowns' values that fulfill the equality are known as the equation's solutions.To learn more about equations, refer:
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In two or more complete sentences, describe how you would draw the graph of the solution set for the following inequality.
Answers
To find:
The method of drwaing the graph of given inequality.
Solution:
Given inequality: -3m +18 < 30.
Solve the inequality:
[tex]\begin{gathered} -3m+18<30 \\ -3m<30-18 \\ -3m<12 \\ 3m>-12 \\ m>\frac{-12}{3} \\ m>-4 \end{gathered}[/tex]To draw the graph, draw a dotted line on -4. Since, the solution set contains all numbers greater than -4,so, shade the portion that lies to right side of -4.
Which graph represents the solution to one half m is greater than or equal to negative seven elevenths?
number line with closed circle on point negative 14 over 11 and arrow shaded to the right
number line with closed circle on point negative 7 over 22 and arrow shaded to the right
number line with closed circle on point negative 14 over 11 and arrow shaded to the left
number line with closed circle on point negative 7 over 22 and arrow shaded to the left
Answers
A graph which represents the solution to the given inequality one half m is greater than or equal to negative seven elevenths is: A. number line with closed circle on point negative 14 over 11 and arrow shaded to the right.
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation (inequality) based on any of the following arguments (symbols):
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Next, we would evaluate and simplify the given inequality in order to determine which graph represent its solution as follows:
m/2 ≥ −7/11
Multiplying both sides by 2, we have:
2 × m/2 ≥ −7/11 × 2
m ≥ −14/11 or m ≥ −1.2727
In conclusion, a solution to the given inequality is m ≥ −14/11, which is illustrated by the graph shown in the image attached below.
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x + y + z =9
2x + y + 2z =3-
X-4y–z=2
Answers
With the help of the given equations, the values of x, y, and z are -3, 15, and -3.
What do we mean by equations?The typical form for linear equations with two variables is Ax+By=C.For instance, the linear equation 2x+3y=5 is in standard form.Finding both intercepts of an equation in this format is fairly easy (x and y).An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.such as 3x + 5 = 15 as an example.There are many different types of equations, including linear, quadratic, cubic, and others.So, the values of x, y, and z:
Take equation (1) as follows: solve for 'x'
x + y + z = 9x = 9 - y - zNow, substitute (x = 9 - y - z) in equation (2) as follows:
2x + y + 2z = 32(9 - y - z) + y + 2z = 318 - 2y - 2z + y + 2z = 3-y = 3 - 18-y = -15y = 15Substitute y = 15 in equation (1):
x + y + z = 9x + 15 + z = 9x + z = 9 - 15x + z = -6So,
x = -6 - zz = -6 - xThen,
x + 6 + z = z + 6 + x0 = 0Then, we can conclude that x and z will be equal.
So, x = z = -3 as x + z = -6Therefore, with the help of the given equations, the values of x, y, and z are -3, 15, and -3.
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The complete question is given below:
Find x, y, and z.
x + y + z = 92x + y + 2z = 3x - 4y - z = 2first 6 terms of -2
first 6 terms of 4
Answers
A geometric sequence's first 6 terms add up to 9 times the sequence's first 3 terms. Identify the typical ratio. A (rn-1) / r - 1 is the formula for the sum of n terms in a geometric series, where a, r, and n are the series's initial term, ratio, and number of terms, respectively.
In the sequence -2, 4 what is the total of the first six terms?1.a1 = 10 d =-1
an = 10 n + (-2) (-2)
a1 = 10(1) + (-2) = 10 - 2 = 8, a2 = 10(2) + (-2) = 20 - 2 = 18, a3 = 10(3) + (-2) = 30 - 2 = 28, a4 = 10(4) + (-2) = 40 - 2 = 38, a5 = 10(5) + (-2) = 50 - 2 = 48,a16 = 10(6) + (-2) = 60 - 2 = 58.2. a1 =8 d =4
a1 = - 8 (1) + 4 = -8 +4 = -4 a2 = - 8 (2) + 4 = -16 +4=-12 a3 =-8 (3) + 4 = - 24 + 4 = -20a4 = -8 (4) (4) + 4 = -32 + 4= -28 a5= -8 (5) + 4 = -40 + 4 = -36a6=-8 (6) + 4 =- 48 +4 =-44To Learn more About first 6 terms, Refer:
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-6x>18 use a table to solve the inequality
Answers
Answer:36
Step-by-step explanation:multiply divide and subctract
Make subject [h]-
1/h+1 +2=k
Answers
Answer:c
Step-by-step explanation:
what statement is true about f(x)= -6|x+5|-2
Answers
Answer:
Its parent function is y = |x|f(x) is |x|- reflected across the x-axis
- vertically scaled by a factor of 6
- translated 5 units to the left
- translated 2 units down
Solve the right triangle shown in the figure. C. BC= 3.2m, B = 43.29, ZC = 90° a. ZA = 46.80, AC = 1.9m, AB = 3.7m b. ZA = 46.89, AC = 5.3m, AB = 4.4m - LA = 46.8°, AC = 5.3m, AB = 6.2m ZA = 46.8°, AC = 3.0m, AB = 4.4m d. -
Answers
The given triangle can be shown below
Since the sum of angles in a triangle is 180 degrees it follows
[tex]\angle A+\angle B+\angle C=180^{\degree}[/tex]It follows
[tex]\begin{gathered} \angle A+43.2+90=180^{\degree} \\ \angle A=180-90-43.2 \\ \angle A=46.8^{\degree} \end{gathered}[/tex]From the triangle above
Using trigonometrical ratios
It follows
[tex]\tan 43.2=\frac{b}{3.2}[/tex]This gives
[tex]\begin{gathered} b=3.2\times\tan 43.2 \\ b=3.2\times0.9391 \\ b=3.0 \end{gathered}[/tex]Hence,
[tex]b=3.0m[/tex]Also
[tex]\cos 43.2=\frac{3.2}{c}[/tex]It follows
[tex]\begin{gathered} c\times\cos 43.2=3.2 \\ c=\frac{3.2}{\cos 43.2} \\ c=\frac{3.2}{0.7290} \\ c=4.4 \end{gathered}[/tex]Hence,
[tex]c=4.4m[/tex]Therefore, the solutions are
[tex]\angle A=46.8,\bar{AC}=3.0m,\bar{AB}=4.0m[/tex]Answer: D
answer in picture too
Step-by-step explanation:
edge 2023
For good service, a garbage collector regularly receives PHP80.00 each from 9 households in our neighborhood once a week. How much does the garbage collector earns for good service in 6 months?
pls helppppppp dead line in 30 mins
Answers
The garbage collector earns PHP 18,720 for good service in 26 weeks or 6 months.
What do you mean garbage?
Waste materials that are thrown by people under various names—garbage, trash, junk, or refuse—usually reflect a perception of their lack of utility. Typically, the word excludes poisonous wastes, body wastes, and wastes that are only liquid or gaseous. Garbage is frequently categorized and categoriszed into types of materials appropriate for particular types of disposal.
Lets assume an ideal situation in 6 months, 3 months will have 31 days and 3 months will have 30 days.
So, total days in 6 months = 3(30) + 3(31)
total days in 6 months = 183
A week contains 7 days:
So, total number of weeks = days in 6 months/7
total number of weeks = 183/7
total number of weeks = 26.14
So, the garbage collector gives service of 26 weeks in 6 months.
Since, he receives 80 each from 9 households in a week.
so, total earning in a week = 80(9) = 720
Total earning in 6 months = weeks in 6 months (earning of 1 week)
Total earning in 6 months = 26 (720)
Total earning in 6 months = 18,720
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The smith twins, joe and john, have a car collection. the number of cars is represented by x. the number of cars in joe's collection is 2 times the number in john's collection. the total number in both is 78. what is x, the number in john's collection?
Answers
Answer: 39
Step-by-step explanation: what is x, the number in john's collection
so basically 2*39 is 78 the number in john's collection is 39 because you are trying to find the nubers of cars
i need help bro who knows how to do
this ?
Answers
Answer:
Equation A has the larger y intercept.
Equation A has a y-intercept of 2
Equation B has a y intercept of -5
Step-by-step explanation:
Equation A is in the slope intercept form of a line.
y = mx + b. The number in the b place is the y-intercept.
y = 5x + 2. The 2 is in the intercept place so the y-intercept is 2.
Equation B is written in the standard form of a line.
5x + 4y = -20
If I let x = 0, I can solve for the y intercept.
5(0) + 4y = -20
4y = -20 Divide both sides by 4
y = -5
This would be point (0,-5). The y-intercept is always boing to be when x = 0.
To decorate a cake, you make a shade of purple icing using 2 drops of red food coloring for every 3 drops of blue.
How many drops of blue food coloring would you need if you use 12 drops of red food coloring?
Answers
Answer: 18
Step-by-step explanation:
To get the answer you need to divide 12 by 2 to see what it was multiplied by. (6) Now that you know what the first part of the ratio was multiplied by, you can multiply the other part of it as well.
3 x 6 = 18
You can fact-check it by simplifying the fraction 12/18 which is 2/3.
Answer:
18
Step-by-step explanation:
12 drops of blue would be 6 sets of colouring, meaning you need to do the number of sets multiplied by the drops, giving us 6x3
And 6x3 is 18
Simplify. 4·(−6)+(−6)-(-5)
please help, I'm working on overdue work and im reslly stressed because if I don't get this done i wont be able to see my long distance gf next week. Thank you for your time.
Answers
Answer:
= -7
Step-by-step explanation:
(−6)+(−6)-(-5)
= -6 - 6 + 5
= -7
Plsss help me ASAP
Fill in the blanks plssss
Answers
∠1 + ∠3 = ∠2 + ∠3 because both of them are equal to 180 °.
∠3 = ∠3 because it is the common angle .
∠1 = ∠2 because they are vertically opposite angles .
What are the different conditions when 2 line intersects?At most, 2 distinct lines will intersect at one point. The general form of the two equations is required in order to locate the intersection of two lines. Only non-parallel lines will cross with each other. A pair of scissors, a folding chair, a road cross, a signboard, and other everyday objects are typical examples of intersecting lines. We will learn in-depth instructions on how to locate the spot where two lines intersect in this mini-lesson. They are referred to as intersecting lines when two lines have exactly one point in common. A common point connects the intersecting lines. The point of intersection is also known as the common point that all intersecting lines share. There will be a point of intersection between the two coplanar, non-parallel straight lines.
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what is 1,234 rounded to the nearest hundred?
plss give me answer this is for tomorow
Answers
Answer:
1,200
Step-by-step explanation:
a recipe calls for 2 teaspoons of cherry aid for every cup of water how many tablespoons of cherry aide must be used to make 4 quarts if drinks
Answers
So 4x4=16 cups
And for every cup you add 2 teaspoons so that would be 16x2 making you answer 32
Answer:
Step-by-step explanation:answer is 35
18. How else can the ratio 4/5 be written?
A..2
OB. 4:5
C.5/4
D. 5:4
Mark for review (Will be highlighted on the revie
Answers
What is 9.6 x 3.7 I know it’s 35.52 but I need to learn step by step
Answers
Step 2 : Therefore, 9.6 x 3.7
find the slope of (0,-1) (-1,-4)
Answers
The slope of the line that passes through point (0,-1) and (-1,-4) is 3.
What is the slope of the line that passes through the given points?Slope is simply expressed as change in y over the change in x.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Given the data in the question;
Point 1( 0,-1 )
x₁ = 0y₁ = -1Point 2( -1,-4 )
x₂ = -1y₂ = -4To determine the slope of the line, plug the coordinates into the slope formula above.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Slope m = ( -4 - (-1) )/( -1 - 0 )
Slope m = ( -4 + 1 )/( -1 )
Slope m = ( -3 )/( -1 )
Slope m = 3
Therefore, the slope of the line is 3.
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vertex (-5,3) and passes through (-4,2)
Answers
The equation of the parabola that has a vertex at (-5,3) and passes through (-4,2) is y = [tex]-x^2-10x-22[/tex]
The vertex of the parabola = (-5,3)
Passing through the point = (-4,2)
The equation of the parabola in the vertex form y = [tex]a(x-h)^2+k[/tex]
(h,k) is the vertex of the parabola
h = -5
k = 3
Substitute the values in the equation
y = [tex]a(x+5)^2+3[/tex]
Here the parabola is passing through the point (-4,2)
Substitute this value in the equation and find the value of a
2 = [tex]a(-4+5)^2+3[/tex]
2 = a×1+3
2 = a+3
a = 2-3
a = -1
Then
y = [tex]-1(x+5)^2+3[/tex]
y = [tex]-1(x^2+10x+25)+3[/tex]
y = [tex]-x^2-10x-25+3[/tex]
y = [tex]-x^2-10x-22[/tex]
Hence, the equation of the parabola that has a vertex at (-5,3) and passes through (-4,2) is y = [tex]-x^2-10x-22[/tex]
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Student:
Functions
Student Activity Sheet 4; Exploring "Graphs"
Rental fee
$150
$100
odmen size6
$50
$0+
0
18
Carla's Cars-to-Go
L
200
Miles driven
100
300
Class:
Vince's Vans
Miles driven
50
100
150
200
250
300
Date
Rental fee
$22.50
$45.00
$67.50
$90.00
$112.50
$135.00
Student
nawol iswoll arb
Func
Stude
16. Which van rental company begins to charge you money as soon as you rent the va
(before you ever drive a single mile)? How do you know?
2016/3
Answers
It is a useful tool for identifying sources of variation in data and, as a result, for better understanding the process and determining root causes.
Vince's Vansrental company begins to charge you money as soon as you rent the va
What is a graphical analysis?Graphical analysis is a graphical representation of data that employs charts, figures, and graphs. It is especially useful in assisting managers in digesting large amounts of data. This type of analysis presents a large amount of data in an easy-to-understand format.Graphical analysis enables rapid learning about the nature of the process, clarifies communication, and provides focus for further analysis. It is a useful tool for identifying sources of variation in data and, as a result, for better understanding the process and determining root causes.To learn more about : Data Analysis
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A rectangle's area is 7 units larger than its perimeter. The width of the rectangle is 3 units. What is the length of the rectangle in units?
Answers
If the rectangle's area is 7 units larger than its perimeter. The width of the rectangle is 3 units. The length of the rectangle will be 13 units.
What is a rectangle?It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry. The area of a rectangle can be calculated using the following formula:
Area of a rectangle,
Rectangle area = length x width
It is given that, A rectangle's area is 7 units larger than its perimeter. The width of the rectangle is 3 units.
Suppose the rectangle area is A, the perimeter is p, the width is w and the length is l.
A = 7 + P ----- 1
w = 3 units
A = lw
P = 2(l+w)
Substitute the values in equation 1,
A = 7 + P
lw = 7 + 2(l+w)
3l =7+2(l+3)
3l=7+2l+6
Rearrange the equation and solve,
3l-2l = 7+6
l = 13 units
Thus, if the rectangle's area is 7 units larger than its perimeter. The width of the rectangle is 3 units. The length of the rectangle will be 13 units.
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Jonathan needs to buy some food for his dog. At the nearest store, 7 bags of dog food cost $21.49. How much would Jonathan spend on 5 bags?
$13.21
$16.49
$15.35
$12.35
Answers
Answer:15.35
Step-by-step explanation:
knowing 7 bags is 21.49 we can divided 21.49 dollars by the amount of bags we have to get how much money is one bag which is 3.07 so after that we multiply by 5 for 5 bags and get our answer 15.35
Please hurry!!
What is the slope of the line that contains the points negative 3, negative seven halves and (2, −4)?
one fourth
one tenth
negative one tenth
negative one fourth
Answers
Answer:
0.7
Step-by-step explanation:
This question tests on the concept of slope or gradient of a line.
We know that the equation, m, for a slope =
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
We can identify 2 points from the question as (x1, y1) and (x2, y2) to solve for the gradient, and therefore they are:
(x1,y1) as (-3,-7.5)
(x2,y2) as (2,-4)
Now we can substitute these values in to solve for the slope.
[tex] \frac{ - 4 - ( - \frac{7}{2})}{2-(-3)} \\ = \frac{ - 4 + frac{7}{2}}{5} \\ = \frac{-0.5}{5} \\ = - \frac{1}{ 10} \\ = -0.1[/tex]
(b)
Mariam uses 25 g of baking powder. How much flour does she need to use?
(c) Mariam uses 720 g of flour. How much baking powder does she need to us
(d) Mariam wants to bake 4 cakes. How many baking powder and flour does she need
Answers
Answer: I don't know how to answer this question
This question needs an explanation of how much flour is needed to make a cake.
Which figure is the image of Figure 1 after a reflection over the y-axis and a translation 3 units down?
Answers
When we perform a reflection over the y-axis then the y-coordinates remain the same but the x-coordinates are inverted (opposite sign).
Example:
As you can see in the above figure, a reflection over the y-axis would look like this.
When we perform a translation of 3 units down then the shape gets shifted downwards by 3 units.
Example:
Therefore, we can see that figure B is the correct answer.
Can someone please help me with this?
Answers
Answer:
constant of proportionality = 10
Step-by-step explanation:
the equation to find the constant of proportionality is,
y = kx
where k is the constant of proportionality
by substituting any value of y and x from the table,
30 = k3
thus, k = 10
for any given number of counselor the children will be it's ten times.
