Question:
Which expression is equivalent to
[tex]\frac{\sqrt{2}}{\sqrt[3]{2}}[/tex]
Answer:
[tex]\frac{\sqrt{2}}{\sqrt[3]{2}} =2^{\frac{1}{6}} = \sqrt[6]{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{\sqrt{2}}{\sqrt[3]{2}}[/tex]
Required
Simplify
From laws of indices;
[tex]\sqrt[n]{x} =x^{\frac{1}{n}}[/tex]
So, the expression can be rewritten as
[tex]\frac{\sqrt{2}}{\sqrt[3]{2}} = \frac{{2^{\frac{1}{2}}}}{2^{\frac{1}{3}}}[/tex]
Also, from laws of indices
[tex]\frac{x^a}{x^b} = x^{a-b}[/tex]
So, the expression is further solved to:
[tex]\frac{\sqrt{2}}{\sqrt[3]{2}} =2^{\frac{1}{2} - \frac{1}{3}[/tex]
Solve exponents as fraction
[tex]\frac{\sqrt{2}}{\sqrt[3]{2}} =2^{\frac{3-2}{6}}[/tex]
[tex]\frac{\sqrt{2}}{\sqrt[3]{2}} =2^{\frac{1}{6}}[/tex]
This can be rewritten as
[tex]\frac{\sqrt{2}}{\sqrt[3]{2}} =2^{\frac{1}{6}} = \sqrt[6]{2}[/tex]
The expression equivalent to given expression is [tex]\sqrt[6]{2} [/tex].
Given expression is, [tex]\frac{\sqrt{2} }{\sqrt[3]{2} } [/tex]
Expression can be written as,
[tex]\frac{\sqrt{2} }{\sqrt[3]{2} } =\frac{2^{1/2} }{2^{1/3} } =2^{\frac{1}{2}-\frac{1}{3} } \\ \\ 2^{\frac{1}{2}-\frac{1}{3} } =2^{\frac{1}{6} }=\sqrt[6]{2} [/tex]
Learn more:
https://brainly.com/question/15968618
Struggling pls help me
Answer:
Coordinates of the transformed triangle:
A' (2, 1)
B' (6, 6)
C' (9, -2)
Step-by-step explanation:
Coordinates of ABC:
A (-3, 0)
B (1, 5)
C (4, -3)
Applying the transformation (x+5, y+1) we get:
A (-3, 0) -> (-3+5, 0+1) = (2, 1) which is the coordinate of A'
B (1, 5) -> (1+5, 5+1) = (6, 6) which is the coordinate of B'
C (4, -3) -> (4+5, -3+1) = (9, -2) which is the coordinate of C'
Estimate 0.56% of 72. (
Answer:
0.4032
Step-by-step explanation:
.56% of 72 =0.4032
hope this heps
The picture up there need this for today!!
Answer:
I believe its 30 different ways.
Step-by-step explanation:
Each different topping can be added times. so 5 times 6 is 30.
Green
Red
Blue
Yellow
Event A: lands on yellow
Event B: lands on green
Events A and B are ______
ao events.
Answer:
Independent events
Step-by-step explanation:
They are independent events because by "lands on yellow" and "lands on green", we're assuming that we're doing something like spinning a spinner, because then we're not taking anything and not replacing it. When we're replacing something, then that's an independent event, and by spinning a spinner once, for Event A, and again for Event B, then we're already replacing everything.
Answer: Disjointed
Step-by-step explanation:
The reason why the answer is disjointed is that the events had nothing in common.
Plz answers ASAP. Ignore the graph on the bottom corner
Answer:
a) The independent variable is r, the radius. You can use any allowable number for r. The dependent variable is V, the volume. Once you choose a value for r, the value of V will depend on that value of r.
b) The domain is all real numbers greater than 0. A radius cannot be zero or a negative number.
c) The output of V(8) is the function V(r) evaluated at r = 8, so it is the volume of a sphere of radius 8 units.
What are the next two terms in this sequence: 3.4, 4.5, 5.6, 6.7, 7.8,__, __? 1) 8.9, 9.10 2) 8.9, 10.0 3) 7.9, 9
Is it possible to draw a quadrilateral that is not a parallelogram but has 1 pair of parallel sides?
Answer:
No
Step-by-step explanation:
Because thats the rule of Math
Answer:
A quadrilateral with one pair of parallel sides is a trapezoid. If it has two pairs of parallel sides it is a parallelogram
Step-by-step explanation:
What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2? x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1 (0, 1) (–1, 3) (–2, 5) (1, 0)? if your answer is correct i will mark you the brainliest
Answer:
(0, 1)
Step-by-step explanation:
In the picture attached, the question is shown.
From the picture:
x2 = -4 (x-coordinate of the endpoint)y2 = 9 (y-coordinate of the endpoint)x1 = 2 (x-coordinate of the startpoint)y1 = -3 (y-coordinate of the startpoint)Ratio m:n, means that m = 1 and n = 2.
Replacing into the formulas:
x-coordinate = m/(m+n) * (x2- x1) + x1 = 1/3 * (-4 - 2) + 2 = 0
y-coordinate = m/(m+n) * (y2- y1) + y1 = 1/3 * (9 - (-3)) + (-3) = 1
Answer:
0,1
Step-by-step explanation:
For the inverse variation equation p=8/V, what is the value of V when p=4?
Answer:
for the inverse variation equation p = 8/v, the value of v when p= 4 is 2.
For which of the following situations would the order that items are chosen not matter? Finding the number of ways to choose a carrot and broccoli out of 10 vegetables. Finding the number of ways to choose Al, Bob, and Carl out of a class of 30 students. Finding the number of ways to choose 2 vegetables out of 10. Finding the number of ways to choose 3 students out of a class of 30. Finding the number of ways to choose 4 letters out of 12.
Answer:
yes
Step-by-step explanation:
Answer: Finding the number of ways to choose 4 letters out of 12
Step-by-step explanation:
The two situations above didn’t even mention letters. One situation mentioned carrot and broccoli out of 10 vegetables. The other situation mentioned Al, Bob and Carl out of a class of 30 students.
The number of letters (4) out of total letters (10) doesn’t matter because it wasn’t one of the two previously mentioned situations.
Multiply and simplify the product. 2i(4 – 5i) Select the product. –2i 2i –10 + 8i 10 + 8i
Answer:
10 + 8i
Step-by-step explanation:
noting that i² = - 1
Given
2i(4 - 5i) ← distribute the parenthesis
= 8i - 10i² = 8i - 10(- 1) = 10 + 8i
Answer:
D, 10+8i
Step-by-step explanation:
Which property was used in the sentence below?
If 9m = 108, then 9m ÷ 9 = 108 ÷ 9.
Answer:
Division Property of Equality
Step-by-step explanation:
Hi, the Division Property of Equality states that when we divide both sides of an equation by a non zero number, both sides of the equation stays the same.
In this case, we divide both sides by 9, and the equality remains the same.
9m=180
9m ÷ 9 = 108 ÷ 9.
m = 12
Feel free to ask for more if needed or if you did not understand something.
The point P=(3/4, y) lies on the unit circle. What is the value of y in simplest form?
Answer:
Step-by-step explanation:
if (x,y) is any point on unit circle then
x²+y²=1²
x²+y²=1
(3/4)²+y²=1
9/16+y²=1
y²=1-9/16=(16-9)/16=7/16
y=±√7/16
If the point P = (3/4, y) lies on the unit circle then y = ± 0.66.
What are the types of equations of a circle?The equation for a circle has the generic form x² + y² + 2gx + 2fy + c = 0.
The standard equation of a circle is x² + y² = r².
The polar form of the equation of the circle is (rcosθ)² + (rsinθ)² = p².
We know if (x ,y) is any point on the unit circle then
x² + y² = 1².
x² + y² = 1.
(3/4)² + y² = 1.
9/16 + y² = 1.
y² = 1 - 9/16.
y² = (16 - 9)/7.
y² = 7/16.
y = ± √7/16.
y = ± 0.66.
learn more about circles here :
https://brainly.com/question/29142813
#SPJ2
2x < 6
Plz help plzzzz
Answer:
2x < 6
x < 3
Step by step:
2x < 6
x < 3
Answer:
To get rid of the coefficient of x we need to divide the inequality by 2 on both sides which gives us x < 3
Jessie is building a ramp for loading motorcycles onto a trailer. The trailer is 2.8 feet
off of the ground. To avoid making it too difficult to push a motorcycle up the ramp,
Jessie decides to make the angle between the ramp and the ground 15°. Find the
length of the ramp. Round your answer to the nearest tenth of foot.
Answer:
5.9 your welcome
Step-by-step explanation:
Answer:
Step-by-step explanation:
Which of the following line segments is longer than AB?
Answer:
PQ
Step-by-step explanation:
If you look at the picture you will see that PQ is longer than AB and all of the angles.
Enter a positive common favor (other than 1) of the fractions numerator and denominator
Answer:
7
Step-by-step explanation:
You can divide both 14 and 21 by seven and get a whole number.
Answer:
7
Step-by-step explanation:
hope this helps
which set of measurement could be the interior angle measures of a triangle??
Answer:
D
Step-by-step explanation:
What is the quotient of (x3 + 6x2 + 11x + 6) ÷ (x2 + 4x + 3)? x + 2 x – 2 x + 10 x + 6
Answer:
x + 2
Step-by-step explanation:
If we know one of the factors, we should be able to use long division.
We can divide the trinomial by the binomial and find the other factor.
x + 2
x² + 4x + 3)x³ + 6x² + 11x + 6
x³ + 4x² + 3x
2x² + 8x + 6
2x² + 8x + 6
0
Thus,
[tex]\dfrac{x^{3} + 6x^2 + 11x + 6} {x^{2} + 4x + 3} = \mathbf{x + 2}[/tex]
Answer:
x+2
Step-by-step explanation:
Write an equation that shows the relationship between cost in dollars (y) and weight (x).
x 2 3 4 6 y 13 19.5 26 39
Answer:
y=7
that should be right
Look at image please !
Answer: The answer is A. (1, 4)
Step-by-step explanation:
(08.02 MC)What is the mean absolute deviation for 9, 7, 6, 8, 7, and 5? 1 2 6 7 please answer in one minute please i am marking brainliest
Answer:
[tex]M.A.D = 1[/tex]
Step-by-step explanation:
Given
9, 7, 6, 8, 7, 5
Required
Mean Absolute Deviation
The first step is to calculate the mean of the given data;
[tex]Mean = \frac{\sum{x}}{n}[/tex]
where x = 9, 7, 6, 8, 7, 5 and n = 6
[tex]Mean = \frac{9+ 7+ 6+ 8+ 7+ 5}{6}[/tex]
[tex]Mean = \frac{42}{6}[/tex]
[tex]Mean = 7[/tex]
Subtract mean (7) from each data
[tex]9 - 7 = 2\\7 - 7 = 0\\6 - 7 = -1\\8 - 7 = 1\\7 - 7 = 0\\5 - 7 = -2[/tex]
Return the absolute values of each
[tex]|2| = 2\\|0| = 0\\|-1| = 1\\|1| = 1\\|0| = 0\\|-2| =2[/tex]
Calculate mean of the above absolute values
[tex]Mean = \frac{\sum{x}}{n}[/tex]
[tex]Mean = \frac{2+0+1+1+0+2}{6}[/tex]
[tex]Mean = \frac{6}{6}[/tex]
[tex]Mean = 1[/tex]
Hence, the mean absolute deviation of the given data is 1
Help fast please someone
Answer: 1,267 meters
Step-by-step explanation:
1,091 + 176 = 1,267
Answer:
1,267 meters
Step-by-step explanation:
Joy started at 1,091 meters above sea level. Then she ascended in her helicopter, which added 176 meters to her elevation. 1,091 + 176 = 1,267 meters. The instructions say to write your answer as an integer, so your answer is 1,267 :)
M is the midpoint of segment VW. Find the value of x.
The midpoint is represented as M and the value of x of the line is x = 4
Given data:
The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.
Measure the distance between the two end points, and divide by 2.
Let V ( x₁ , y₁ ) be the first point
Let W ( x₂ , y₂ ) be the second point
The midpoint between A and B is M ( a , b ) where
a = ( x₁ + x₂ )/2
b = ( y₁ + y₂ ) / 2
The points on the lines are represented by ( 4x - 1 ) and ( 3x + 3 )
So, the points are in same distance from V and W
And, 4x - 1 = 3x + 3
x = 4
Hence, the point x = 3
To learn more about midpoint of two points click :
https://brainly.com/question/29155265
#SPJ2
simplify (√5+4)(√5-2) A)-3+2√5 B)3+2√5 C)-2+3√5
Answer:
A
Step-by-step explanation:
[tex](x + y)(a - b) = xa - xb + ya - yb[/tex]
(√5+4)(√5-2) =
= [tex]( {\sqrt{5})}^{2} - 2 \sqrt{5} + 4 \sqrt{5} - 8[/tex]
= [tex]5+ 2 \sqrt{5} - 8[/tex]
= [tex] - 3+ 2 \sqrt{5} [/tex]
Hope this helps ^-^
find the area shaded in yellow
Answer:
Step-by-step explanation:
You'll do height by width. Or base by height.
So let's say 6 cubes by 11 cubes.
A = 66.
Others, please correct me if I'm wrong.
I know 8C5=56 but I tried using the formula but I dont get 56 for my answer can someone pls explain how to work it out. 10 POINTS
Answer:
The combination formula is 8! / (8-5)! * 5!
= 8! / 3! * 5!
= 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1/ 3 * 2 * 1 * 5 * 4 * 3 * 2 * 1 (expand)
= 8 * 7 * 6 / 3 * 2 * 1 (5 * 4 * 3 * 2 * 1 cancels on both sides)
= 8 * 7 = 56 (3 * 2 * 1 = 6)
Daniel earned 32 points on a test. If those
32 points were 80% of the total, how
many total points were there?
Answer:
40 points
Step-by-step explanation:
32 points = 80% or 4/5
if you divide 32 by 4, you get 8+8+8+8=32
that means you need to add 8 to 32 to get the total number of points
Find volume of the solid. This pretty easy I just don’t feel like doing it
Answer:
25920
Step-by-step explanation:
30*6*36*4
Just multiply them all!15 times x = 45 solve for x and i will be marking as brainliest for the first/correct answer
Step-by-step explanation:
15 x =45
x = 45/15
x= 3 ans
Answer: x = 3
Step-by-step explanation:
15x = 45
x = 45/15 = 3