[tex]\bold{\frac{\sqrt[3]{x}}{ \sqrt[3]{y}}\frac{\sqrt[3]{y}}{ \sqrt[3]{y}} = \sqrt[3]{\frac{x}{y} } }[/tex] is the correct form.
We need to find the error in the statement [tex]\bold{\frac{\sqrt[3]{x}}{ \sqrt[3]{y}}\frac{\sqrt[3]{y}}{ \sqrt[3]{y}} = \sqrt[3]{\frac{xy}{y} } }[/tex]
Starting from LHS of the statement, [tex]\frac{\sqrt[3]{x}}{ \sqrt[3]{y}}\frac{\sqrt[3]{y}}{ \sqrt[3]{y}}[/tex],
we can cancel the like terms ∛y from the numerator and denominator.
So we get, [tex]\frac{\sqrt[3]{x}}{ \sqrt[3]{y}}[/tex]
Since both of the numerator and denominator has the cubic root, we can combine it.
That is, [tex]\frac{\sqrt[3]{x}}{ \sqrt[3]{y}}[/tex] = ∛(x/y) is the right answer.
So in this expression [tex]\bold{\frac{\sqrt[3]{x}}{ \sqrt[3]{y}}\frac{\sqrt[3]{y}}{ \sqrt[3]{y}} = \sqrt[3]{\frac{xy}{y} } }[/tex], y on the numerator is the error.
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can someone please help me out?
Answer:
The rate of change is 1/2. And it is consistent.
Step-by-step explanation:
Start from the first point. As you see, the second point is 2 units right and 1 unit up from the first point. According to the formula for slope, (y1-y2)/(x1-x2)=slope, (24-16)/(2-0)=4, I know that the y-value increased by 4 as x-value increased by 1. Hope you find the answer helpful.
What is the slope of the line in the graph below?
Please view picture for the graph! Thank you so much!
the perimeter of the triangle is 78 units . What is the length of side AB
The perimeter of the triangle will be the addition of all its sides.
How to illustrate the perimeter?It should be noted that the perimeter of a triangle is calculated by adding the values of all its sides
Die example, of the sides are 4cm, 7cm and 5cm. The perimeter of the triangle will be:
= 4cm + 7cm + 5cm
= 16cm
Based on the information given, it's important to add the equations together and equate them to 78 to get the value of AB.
Note that an overview was given as the question is incomplete.
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A lottery has 46 numbers. How many ways can six numbers be drawn if the numbers are not repeated?
There are ____ ways the number can be drawn.
If you buy a ticket, what is the probability that your ticket will have the winning numbers?
P(win) = _____
The number of ways six numbers can be drawn are 9366819.
Combinations also are referred to as choices or selections. Combinations correspond to the choice of factors from a given set of factors. Here we do now no longer intend to set up things. We intend to choose them.
The combination formula to find out number of ways is,
where n is the number of objects to select from and r is the variety of objects that want to be picked. This system is used while no repetition is allowed and order does not matter.
From the given question let us consider,
n= 46
r=6
By applying the combination formula
46C6= 46!/6!(46-6)!
= 46.45.454.43.42.41/6!
= 6744109680!/6!
= 6744109680/720
=9366819
Therefore the required answer is 9366819 ways.
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Answer:
Step-by-step explanation: nPr
= n!
(n-r)!
= 46!
(46-6)!
= 46!
40!
= 6744109680
identify 6x+3+4x+8 identify
Answer:
10x + 11
Step-by-step explanation:
6x + 3 + 4x + 8x
6x + 11x +4x
There are x boys playing in the park. The number of girls playing in the park is ec
number of boys and girls playing in the park is 42, find the number of boys.
A. 36
OB.
49
OC. 7
OD. 6
Answer:
A 36.
Step-by-step explanation:
If x is the number of boys then √x is the number of girls.
x + √x = 42
√x = 42 - x
Squaring both sides:
x = (42 - x)^2
1764 - 84x + x^2 - x = 0
x^2 - 85x + 1764 = 0
(x - 36)(x - 49) = 0
x = number of boys = 49 or 36.
But the total number = 42 so there must be 36 boys. Also √36 = 6 so the answer is 36 boys.
what is x and y and x and y?
Answer:
x= 1/7Step-by-step explanation:
Solve for x by cross multiplying. Hope this helps! <3
Let g(x)=5 x-2 and h(x)=x²+1 . Find the value of each expression. (g⁰ h)(2)
For the functions g (x) = 5 x - 2 and h (x) = x² + 1, the value of the composite function g o h (2) will be 23.
We are given the functions:
g (x) = 5 x - 2
h (x) = x² + 1
We first need to find the composite function g o h (x).
So, we get that:
g o h (x) = g ( h (x) )
g o h (x) = 5 ( x² + 1 ) - 2
g o h (x) = 5 x ² + 5 - 2
g o h (x) = 5 x² + 3
Now, we need to find the value of the composite function for x = 2. So, we get that:
g o h (x = 2) = 5 (2)² + 3
g o h (2) = 5 (4) + 3
g o h (2) = 20 + 3
g o h (2) = 23
Therefore, for the functions g (x) = 5 x - 2 and h (x) = x² + 1, the value of the composite function g o h (2) will be 23.
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Need help plssssss ion understand it
Based on the angle addition postulate, the proof that shows that m<ABC = 26 degrees is explained below.
What is the Angle Addition Postulate?If two smaller angles are formed when a line segment bisects a larger angle, the sum of the measures of the two smaller angles would be equal to the measure of the larger angle, based on the angle addition postulate.
Statements Reasons
m<ABD = 52° Given
BC bisects m<ABD Given
m<ABC = m<CBD Definition of bisector
m<ABC + m<CBD = m<ABD Angle addition postulate
m<ABC + m<CBD = 52° Substitution property
m<ABC + m<ABC = 52° Substitution property
In conclusion, based on the angle addition postulate, the proof that shows that m<ABC = 26 degrees is stated above.
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Venn Diagram 7th grade ( I NEEED HELP PLEASE)
Answer:
a= A∪B
b= A'
c= c
d= b
(II) 5= {2,3,4,5,6,7,8,9}
hope it helps!
Expand each logarithm.
logb b/x
If the expression is [tex]log_{b}[/tex](b/x), then the expanded form of the expression looks like [tex]log_{b}b-log_{b}x[/tex].
Given that the expression is [tex]log_{b}[/tex](b/x).
We are required to find the expanded form of the expression.
The change of base formula is basically used to re-write a logarithm operation as a fraction of logarithms with a new base.
We know that log (m/n)= log m- log n.
The expression is [tex]log_{b}[/tex](b/x).
We have to first multiply b with the inside fraction.
[tex]log_{b}[/tex](b/x)=[tex]log_{b}b -log_{b}x[/tex]
Hence if the expression is [tex]log_{b}[/tex](b/x), then the expanded form of the expression looks like [tex]log_{b}b -log_{b}x[/tex]
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Select all ratios equivalent to 5:1
Answer: 5.1 = 20.4 and = 30.6
Step-by-step explanation: Add a fraction to 5.1 + 5.1 if you keep adding by 5.1 gets an answer
B & C
A= 3.6:1
B= 5:1
C= 5.1
determine the range of (-10,7)
write an equation in slope intercept form that describes a line that has a y-intercept of 4 and a slope of 3
Answer:
The equation will be y= 3x + 4
Step-by-step explanation:
Hope this helps :)
The equation in slope-intercept form describes a line that has a y-intercept of 4 and a slope of 3 will be y= 3x + 4.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, a line that has a y-intercept of 4 and a slope of 3.
The standard equation in the slope-intercept form is,
y = mx +c
Where m is the slope and c is the intercept. The ratio that y increase as x increases is the slope of a line.
Substitute the given value,
y = 3x + 4
Thus, the equation in slope-intercept form describes a line that has a y-intercept of 4 and a slope of 3 will be y= 3x + 4.
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Calculate the exact areas of the shapes below
Answer:
A = 364 m²
Step-by-step explanation:
the figure is has 2 pairs of parallel sides and is therefore a parallelogram.
the area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
here b = 26 and h = 14 , then
A = 26 × 14 = 364 m²
what is equivalent to –24 = x − 98
- - - - - - - - - - - - - - - - - - - - - - - -
Hello! The explanation is below.
- - - - - - - - - - - - - - - - - - - - - - - -
Here, we're trying to figure out what x means. So, let's!
Basically, this equation says, "What number must you have to reach -24?"
Well, if you subtract 98, you have zero already. So, find a lesser number to remove 98 from.
(after playing with numbers)
74 - 98 = -24
Have a wonderful day/night!
~pinetreee
What is an equation of the line that passes through the point
(
−
8
,
0
)
(−8,0) and is parallel to the line
x
+
2
y
=
14
x+2y=14?
Answer: The question is not clear.
Step-by-step explanation:
Answer:
y = -1/2x +4
Step-by-step explanation:
First you need to get you're y-intercept form equation which is going to be : y = -1/2x + 7
How: x + 2y = 14
-- Subtract x on both sides
x + 2y = 14
-x -x
Then: 2y = -x +14
-- Divide 2 on all parts
[tex]\frac{2y}{2} = -\frac{1x}{2} + \frac{14}{2}[/tex]
Equals: y = -1/2x + 7
Second find the slope which is : m = -1/2x
Third the formula for finding a parallel line to another is : y - y[tex]_{1}[/tex] = m(x - x[tex]_{1}[/tex])
The problem now would look like :
y - 0 = -1/2(x - -8)
--Distribute the -1/2
y - 0 = -1/2x + 4
--Add the 0 to 4
y = -1/2x +4
Hope this helps!
--Blu
A bacterium was found to have a mass of
2
×
10
−
12
gram. After 30 hours, one bacterium was replaced by a population of 480,000,000 bacteria. What is the mass of the population of bacteria after 30 hours? Write your answer in scientific notation.
The mass of the population of bacteria after 30 hours is 9.6×10⁻⁴ grams in expressions.
What does a math expression mean?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)Mass of 1 bacterium =2×10-¹². Then the mass after 30 hours will be calculated as below:-
Mass of 480,000,000 bacteria = 2×10-¹²×480,000,000
Mass of 480,000,000 bacteria =0.00096
Mass of 480,000,000 bacteria =9.6×10⁻⁴
Therefore, the mass of the population of bacteria after 30 hours is 9.6×10⁻⁴ grams.
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Your velocity is 13 feet per second. What's your speed in units?
Answer:
The velocity of 13 feet per second into units is 3.9624 meter per second.
Step-by-step explanation:
It is given in the question that the velocity is 13 feet per second and we need to convert it into units.
Firstly, let us understand what is velocity;
When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.
Now, let us understand the concept of speed;
Speed, which is a scalar number, is the speed at which an item is moving. Speed can be thought of as the rate at which an object covers distance. A fast-moving object has a high speed and covers a relatively large distance in a short amount of time. This is in contrast to an item travelling slowly, which travels a relatively little distance in the same length of time. Zero speed refers to an item that is not moving at all.
Furthermore, Speed is measured in meters per second. Exactly 3.6 kilometers per hour, or 2.237 miles per hour, equals one meter per second.
After convert the velocity of 13 feet per second into units we get;
=> 13 feet per second = 3.9624 meter per second
Therefore, the velocity of 13 feet per second into units is 3.9624 meter per second.
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Find any points of discontinuity for each rational function. y= x-1 / (x+1)²
Point of discontinuity for each rational function. y= x-1 / (x+1)² is x = -1
What is the discontinuity of a function?
In algebra, a discontinuous function is one that has a point at which the function is not defined, at which the left-hand limit and right-hand limit are equal but not equal to the value of the function at that point, or at which the limit of the function does not exist. Discontinuous functions may have three different sorts of discontinuities: jump, removable, and essential. The graph of a discontinuous function contains gaps.
Given the function is -
y= x-1 / (x+1)²
It can be expressed in the form of -
y = x-1 / (x+1)(x+1)
The function will be undefined if the denominator will be 0
⇒ x+1 = 0
⇒ x = -1
So we can conclude that the function will be undefined at point x = -1
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I NEED HELPP
Mai said, "I'm not sure the graph is right. For example, the point is in the shaded region, but it's not realistic for an athlete to swim for 10 hours and bike for 3 hours in a training session! I think triathlon athletes generally train for no more than 2 hours a day."
Write an inequality to represent Mai's last statement.
The inequality to represent the last statement that was made by Mai will be t <= 2.
How to illustrate the information?It should be noted that an equation simply means the relationship that can be used to show the relationship among the variables.
It should be noted that the last statement made by Mai is that I think triathlon athletes generally train for no more than 2 hours a day.
Therefore, the inequality to represent this will be t <= 2.
where t = number of hours trained.
This implies that t is less than or equal to 2 hours
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If your solution is x>1. The circle that
goes on the graph at 1 is
open
closed
Answer:
open
Step-by-step explanation:
It would be open, since the inequality: [tex]x > 1[/tex] only contains solutions greater than 1, and if you were to plug in 1 as x, you would get: [tex]1 > 1[/tex] which is of course not true, so 1 is excluded and thus has an open circle.
The only case where it would be closed is if it's: [tex]x\ge1[/tex] where plugging in 1 as x would result in a true statement, thus 1 is included in the interval
Juan got a pizza that had 12 slices. he ate 1/4 of the pizza. his sister ate 1/3 of the pizza. how much pizza did they eat in all
Answer:
Juan and his sister ate 7/12 of the pizza.
Step-by-step explanation:
1/3 + 1/4
(Multiply 1/3 by 4 and 1/4 by 3)
4/12 + 3/12
(Add)
Answer: 7/12
Simplify each expression. 25¹/₂
The simplified form is 5.
Simplify is to make something less complicated or much less cluttered. An instance of simplification is when you provide an explanation for a difficult math idea in truly smooth phrases for a kid to understand. An example of simplifying is whilst you chop out a whole lot of the activities that were making you busy and careworn. To turn out to be less difficult.
The phrase simplifies the approach to make something simpler to do or understand. So, by lowering or simplifying the fractions approach we make the fraction as simple as viable. We do this by dividing the numerator and the denominator via the biggest range that may divide into each number precisely.
[tex]( 5^{2} )^{1/2}[/tex]
[tex]5^{2} . \frac{1}{2}[/tex]
[tex]2.\frac{1}{2} =1[/tex]
[tex]5^{1}[/tex][tex]= 5[/tex]
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0.9-8.8+11+2.6 es tarea de matemáticas
Resolviendo las sumas y restas de la expresión podemos ver que:
0.9-8.8+11+2.6 = 5.7
¿Como resolver la expresión en la imagen?
Tenemos un problema que involucra sumas y restas, tenemos que resolver la siguiente expresión:
0.9-8.8+11+2.6
Vamos a hacerlo de izquierda a derecha, lo primero que debemos resolver es:
0.9 - 8.8 = -7.9
reemplazar esto nos da:
-7.9+11+2.6
Lo siguiente que debemos resolver es:
-7.9 +11 = 3.1
Reemplazando eso obtenemos:
3.1 + 2.6 = 5.7
ese es el resultado de la expresion.
Entonces podemos concluir que:
0.9-8.8+11+2.6 = 5.7
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Give the coordinates of the point obtained from each reflection.
The coordinates of the spot received from each reflection.
a. When a point is reflected across the x-axis:
(-4 , -5) → (-4 , 5)
b. When a point is reflected across the y-axis:
(-4 , -5) → (4 , -5)
What exactly is the meaning of reflection?A reflection in mathematics is a mapping from such a Euclidean space to itself that is an isometry with just a hyperplane as a fixed point set; this set is known as the axis or plane of reflection. A figure's mirror image with in axis or plane or reflection is its image by reflection.
Briefing:When a point is reflected across the x-axis, every x-coordinate remains unchanged, but the y-coordinate is assumed to represent the additive inverse. Point (x, reflection )'s from across x-axis is (x, -y).
When you reflect from across y-axis, the coordinates change as follows:
(x, y) → (-x, y)
To obtain your new set, multiply your x-coordinate by -1 as well as leave the y-coordinate alone.
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Terry was measuring the volume of water on a graduated cylinder but did not notice that the measurements incremented by 2 instead of by 1. As a result, he misread the volume of the liquid as 33.0 instead of 36.0. What is his percent error?
The percent error on Terry's reading is 8.3%
What is the percent error?If there is something with a real measure of M, and you perform a measure that gives the value M', then the percent error on your measure is:
P = 100%*|M - M'|/M
In this case, the real measure is 36.0 and Terry's measure is 33.0 (I don't know the units, these are volumes).
So we have:
M = 36.0
M' = 33.0
Then we can use the formula for the percent error to get:
P = 100%*|36.0 - 33.0|/36.0 = 8.3%
We can see that the percent error in Terry's measure is 8.3%
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Which expression is equivalent to (4x-³y4)-²?
PLEASE HELP ME ASAP!!
Answer:
[tex] \sf \: \frac{ x {}^{6} }{16y {}^{8} }[/tex]
Step-by-step explanation:
(4x-³y^4)-²
=x^6/16y^8
Can √3 + 5 be simplified?
Yes or no
if yes show your answer if not explain why
SHOW WORK or it gets deleted
It is true that the expression √3 + 5 cannot be simplified
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine if the expression can be simplified?The expression is given as
√3 + 5
The above expression is a combination of a radical expression and an integer
The radical expression √3 cannot be simplified
This means that the expression √3 + 5 cannot be simplified
Hence, the expression √3 + 5 cannot be simplified
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The quotient 250+5/8 tells abou ow far a sloth may move in one hour. How an a sloth go in 90 minutes? Justify your asoning.
Ans :
90 minutes, the sloth may move 600 units .
Given :
250*5/8 = 250 × (8/5) = 400
Hour :
a period of time equal to the twenty-fourth part of a day and night and divided into 60 minutes.
1 hour = 60 minute
Slot :
a long, narrow aperture or slit in a machine for something to be inserted.
sloth may move 400 units per hour.
a sloth may move in 400 units = 60 minutes.
A slot of 200 units = 30 minutes.
Therefore,
it will move (400 + 200) units = (60 + 30) minutes.
Hence,
in 90 minutes, the sloth may move 600 units.
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