Answer:
The correct option is B:
B) x superscript five-thirds Baseline y superscript one-third
Step-by-step explanation:
The expression can be written as:
[tex]\sqrt[3]{x^5y}[/tex]
We know that cube root can also be written as the power of 1/3, So
[tex]\sqrt[3]{x^5y} = (x^5y)^{1/3}[/tex]
Multiplying the power with both variables
[tex](x^5y)^{1/3} = x^{5\cdot1/3}\cdot y^{1\cdot1/3}[/tex]
Simplifying the equation to get final form
[tex]x^{5\cdot1/3}\cdot y^{1\cdot1/3} = x^{5/3}\cdot y^{1/3}[/tex]
As we can see that it is similar to the option B which is
B) x superscript five-thirds Baseline y superscript one- third
the correct option is B
The expression which is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot is;
x Superscript five-thirds Baseline y Superscript one-thirdThe expression can be written as;
[tex] \sqrt[3]\frac{{ {x}^{5} } }{y} [/tex]
In essence, Upon simplification; we have;
x⁵ ^(1/3) × y^(-1/3)Therefore, we have;
x^(5/3) × y (-1/3)The expression therefore becomes;
[tex] \frac{ {x}^{ \frac{5}{3} } }{ {y}^{ \frac{1}{3} } } [/tex]
Read more on indices;
https://brainly.com/question/1592472
(02.07 LC)
Which relationship is always correct for the angles x, y, and z of triangle ABC?
A
x
C
Ox+ z = y
Oy + z = x
O x + y + z = 180 degrees
Ox + y + z = 90 degrees
Answer:
Ox+y+z=180
Step-by-step explanation:
The relationship which is always rue for the three angles x, y and z of triangle ABC is x + y + z = 180°.
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
We know that a triangle has three angles.
Let x, y and z be the three angles of the given triangle.
We know that, the interior angles of a triangle sum up to 180°.
The given three angles are x, y and z.
So, x + y + z = 180°
Hence the correct relationship that describes all the three angles of the triangle is that x + y + z = 180°.
To learn more about Triangles, click on the link given :
https://brainly.com/question/19976619
#SPJ7
Can someone help me out with this?
9) obtuse 10) isosceles
y = 6x - 11
- 2x – Зу = -7
Solve the systems of equations by substitution
The systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations are y = 6x - 11 and
- 2x – Зу = -7
substitute y value in second equation.
-2x-3(6x-11)=-7
Apply distributive property
-2x-18x+33=-7
Combine the like terms
-20x+33=-7
Subtract 33 from both sides
-20x=-7-33
-20x=-40
Divide both sides by 20
x=2
Now subtract x=2 in equation 1
y=12-11=1
Hence, the systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
25 POINTS!!!!Which of the following statements are true? Select all that apply.
A + B = B + A
C - D = D - C
B + 0 = B
E - C = E + (-C)
|A| = |E|
Answer:
A+B=B+A
B+0=B
E-C=E+(-C)
Step-by-step explanation:
Answer:
A) A+B = B+A
C) B+0= B
D) E-C= E+(-C)
Step-by-step explanation:
HELP PLEASE I NEED HELPPPP
What is the sign of....
a x (-b/b)
when a =0 and b<0
A. positive
B. negative
C. zero
THIS IS ON KHAN ACADEMY AND I DONT GET IT IF U ANSWER ILL GIVE YOU BRANLIEST AND 100 points PLEASE JUST HELP MEH
Answer:
C. zero
Step-by-step explanation:
a * (-b/b)
-b/b = -1
a* -1
If a = 0 then
0 * -1 = 0
Answer:
0
Step-by-step explanation:
pls give brainliest
Solve x + 5x – 14 = 0
I’m doing factorising and solving quadratics.
Answer:
x + 5x = 14
6x = 14
x = 14/6
x = 7/3
Step-by-step explanation:
Write (6p)^2 without exponents
45x^7 divided by 9x^2
Answer:
5x^5
Step-by-step explanation:
45x^7 ÷ 9x^2=45÷9 × x^7÷x^2= 5x^5
The right answer is 5x^5
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
What angle measure is complementary to a 65 angle?
Answer:
x = 25
Step-by-step explanation:
Complementary angles add to 90 degrees
x+65 = 90
Subtract 65 from each side
x = 90-65
x = 25
The Definition of Complementary Angles states that if two angles are
complementary, then the sum of their measures is 90°.
To find the complement of an angle, we take 90 degrees minus the
measure of the angle which in this case 90° - 65° or 25°.
So the complement of the 65° angle measures 25°.
What is the surface area of a cone with a radius of 3 cm and a length of 8 cm
Answer: surface area = 108.8 sq. cm
Step-by-step explanation:
A=πr(r+√h2+r2)
Answer:
108.8cm^2
Step-by-step explanation:
Surface Area
A = πr(r+ √h2+r2)
A= π3 * (3 +1/3) √64 + 9 (+ 3) = sqroot 17 +3 = 20 + (3 x 4) = π32
A= 108.7
Volume
V=πr2h/3
V= π9*8 = π72/3 = 226.28/3
V= 72.4cm^3
Additional
The cone has a radius of 3cm and height of 8cm, find total surface area of the cone.
To begin with we need to find slant height of the cone, which is determined by using Pythagoras, since the cross section is a right triangle.
l2 = h2 + r2
l2 = 64 + 9
l = √(73)
l = 8.54 cm
And the total surface area of the cone is:
SA = πr2 + πrl
SA = π · r · (r + l)
SA = π · 3 · (3 + 8.54)
SA = π x 3 . 11.54
SA = 9.42477796077 x 11.54 = 108.76 cm2
SA = 108.8cm^2
In the diagram shown, m <AOC =124 and OA=10 cm. Which of the following is closest to the length of
arc ABC?
(1) 20.6
(2) 21.6
(3) 40.4
(4) 41.2
Answer:
(2) 21.6
Step-by-step explanation:
The segment OA is the radius of the circle
The arc of the complete circle is equivalent to its perimeter
perimeter = 2*π*radius = 2*π*10 = 62.83 cm
This arc is proportional to 360°. So, for 124°:
360°/124° = 62.83 cm/ x cm
x = 124*62.83/360
x = 21.6 cm
Each cube inside the rectangular prism has no edge length of 3/4 inch what is the volume of the rectangular prism
Answer: Volume = 81 cubic inches
Step-by-step explanation:
Given that each cube has length = 3/4 inches
The height H = 3/4 × 8 = 6 inches
Where 8 = number of cubes
The length L = 3/4 × 6 = 4.5 inches
Where 6 = number of cubes
The width W = 3/4 × 4 = 3 inches
Where 3 = number of cubes
The volume V = L × W × H
Substitute all the parameters into the formula
V = 4.5 × 3 × 6 = 81 cubic inches
Therefore, the volume of the rectangular prism is 81 cubic inches
Answer:
Answer: Volume = 81 cubic inches
Step-by-step explanation:
Given that each cube has length = 3/4 inches
The height H = 3/4 × 8 = 6 inches
Where 8 = number of cubes
The length L = 3/4 × 6 = 4.5 inches
Where 6 = number of cubes
The width W = 3/4 × 4 = 3 inches
Where 3 = number of cubes
The volume V = L × W × H
Substitute all the parameters into the formula
V = 4.5 × 3 × 6 = 81 cubic inches
Therefore, the volume of the rectangular prism is 81 cubic inches
Step-by-step explanation:
The box plots show Devonte’s scores in Spanish and in French. Spanish 2 box plots. The number line goes from 50 to 100. For Spanish, the whiskers range from 55 to 95, and the box ranges from 60 to 85. A line divides the box at 70. For French, the whiskers range from 55 to 90, and the box ranges from 65 to 80. A line divides the box at 75. French Devonte inferred that his French scores have less variability than his Spanish scores. Which explains whether Devonte’s inference is correct? Devonte is correct because the range is greater for French. Devonte is correct because the interquartile range is less for French. Devonte is not correct because his highest grade is in Spanish. Devonte is not correct because the interquartile range is less for Spanish.
Answer:it's D i took the test.
Answer:
B
Step-by-step explanation:
i took the test
In a certain board game, a number cube is rolled to determine the number of spaces a player gets to move. Use the table above to determine the expected value of the number of spaces a player moves. Round the answer to the nearest tenth. 1.0 1.3 2.2 13.0
Answer:
A. 1.0
B. 1.3
C. 2.2
D. 13.0
Answer:
B.
Step-by-step explanation:
Need Help ASAP will give brainliest!!!
Answer:
216 ft²
Step-by-step explanation:
For this question, first find the area of the outsides of the square walls.
Since the cube has side lengths of 6, we can simply find the area of each wall. Remember, for a square, A = s².
A = 6²
A = 36. This is the area for each side of the wall. Since she is painting 4 walls, we can multiply this by 4.
36 ×4 = 144.
To find the area of the ceiling, we will need to use the formula for the area of a triangle : A = 1/2(bh). The base in the figure would be 6, and the height is also 6.
A = 1/2(6 ·6)
A = 1/2 (36)
A = 18. Therefore, each part of the ceiling is 18. Since the base is a square shape, there are 4 triangles that make up the ceiling. Multiply this by 4, giving you:
18 × 4 = 72.
Add the two areas from the walls and the ceiling:
144 + 72 = 216 ft²
Answer:
Ok, so i got 216
Step-by-step explanation:
mulityply 6✖️6✖️6=216 the rest of the numbers are tricking you hopefully this helps.
What is the area of this triangle?
units^2
Answer:6
Step-by-step explanation:
The base is 3 and the height is 4
3*4/2 = 6
Answer:
6 units^2
Step-by-step explanation:
The base (segment DE) is 3 units.
The height is 4 units. (From point F going horizontally until it intersects segment DE)
Formula for area of a triangle: (1/2)BH
(1/2)(3)(4) = (1/2)12 = 6
I just need answer. Pls
Answer:
Step-by-step explanation:
What is the solution to this system of equations? -5.9x-3.7y=-2.1 5.9x+3.7y=2.1
A. (0, -2.1)
B. (0, 2.1)
C. infinitely many solutions
D. no solutions
Answer:
C. infinitely many solutions
Step-by-step explanation:
You have the following 2x2 system of equation:
[tex]-5.9x-3.7y=-2.1\ \ \ \ (1)\\\\5.9x+3.7y=2.1\ \ \ \ \ \ \ \ (2)[/tex]
You can notice that if you multiply the equation (1) by -1 you obtain the equation (2). That is, the first equation is scalar multiple of the second one. Due to this situation, the system of equation has infinite solution
C. infinitely many solutions
what is the y-intercept of f(x)= -x^2÷1 +4
Answer:
(0, 4)
Step-by-step explanation:
Just set x = 0 and find y = f(x):
f(0) = [-(0)^2]÷1 +4 = 0÷1 + 4 = 4
The y-intercept is (0, 4)
Please Do 3 for 5 points.
Answer:
44, 46, and 48
Step-by-step explanation:
add them and you should get 138.
QI - The sum of the distance of a moving
point from the points (c,0) and (-c,0) is
always 2a units. Find the equation to the locus
of the moving point.
Answer:
[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]
Step-by-step explanation:
Let P be the moving point and the given points be A (c,0) and B (-c, 0). If (h, k) be the co-ordinates of any position of P on its locus then:
PA + PB = 2a
PA = 2a - PB
PA² = 4a² + PB² – 4a ∙ PB
PA² – PB² = 4a² – 4a ∙ PB
[(h - c)² +(k - 0)²] - [(h + c)² +(k - 0)²] = 4a² – 4a. PB
-4hc = 4a² – 4a∙PB
a ∙ PB = a² + hc
Taking square
a² ∙ PB² = (a² + hc)²
a² [(h + c)² + (k - 0)²] = (a² + hc)²
a² [h² + c² + 2hc + k²] = a⁴ + 2a²hc + h²c²
a²h² – h²c² + a²k² = a⁴ – a²c²
(a² – c²)h² + a²k² = a² (a² – c²)
h²/a² + k²/(a² – c²) = 1
Therefore, the required equation to the locus of P is
[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]
To make 1 batch of vegetable soup, Sam needs 16 ounces of water and 8 ounces of vegetables. How does the amount of water compare to the amount of vegetables?
Answer:
1x16
Ste divided by 16 p-by-step explanation:
A falling object travels a distance given by the formula d= 3t + 3t ^2, where d is measured in feet and t is measured in seconds. How many seconds will it take for the object to travel 50 feet?
Answer:
3.61 sec
Step-by-step explanation:
Set the given d= 3t + 3t ^2 equal to 50 and solve for t:
3t^2 + 3t - 50 = 0
This is a quadratic equation with coefficients 3, 3 and -50. The discriminant is b^2 - 4ac, or 3^2 - 4(3)(-50), or 9 + 600 = 609
The roots of this quadratic are therefore:
-(3) ± √609 -3 ± 24.68 21.68
t = -------------------- = ------------------- = ----------- = 3.61 sec
2(3) 6 6
QUICK What is the solution to this system of equations? 3.2 x + 0.5 y = 4.2. Negative 1.6 x minus 0.5 y = 3.4.
Answer:
The solution is x=4.75 and y = -22
Step-by-step explanation:
To find the solution to the system of equations, we will follow the steps below:
3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)
-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)
add equation (1) and equation (2)
1.6x =7.6
Divide both-side of the equation by 1.6 to get the value of x
1.6x /1.6 =7.6/1.6
x =4.75
substitute x = 4.75 into equation (1) and solve for y
3.2(4.75) + 0.5y = 4.2
15.2 + 0.5y = 4.2
subtract 15.2 from both-side of the equation
15.2 - 15.2 + 0.5y = 4.2-15.2
0.5y = -11
Divide both-side of the equation by 0.5
0.5y/0.5 = -11/0.5
y = -22
The solution is x=4.75 and y = -22
Answer
x= 4.75 y=-22
Step-by-step explanation:
got it right on the unit test!!
In science class, Scott estimates the mass of a sample to be 109 grams. The actual mass of
the sample is 104 grams. Find the percent error of Scott's estimate. Round your answer to
the nearest tenth.
Answer:
Percent of error = 4.80% (Approx)
Step-by-step explanation:
Given:
Mass of sample = 109 gram
Actual mass of sample = 104 gram
Find:
Percent of error.
Computation:
Error = Mass of sample - Actual mass of sample
Error = 109 gram - 104 gram
Error =5 gram
Percent of error = (Error / Actual mass of sample)100
Percent of error = (5 / 104)100
Percent of error = 4.80% (Approx)
In the diagram shown,
ABCE is a trapezium,
AD is parallel to BC,
DE = 4cm,
Area of ABCE = 60cm^2,
Area of ABCD = 48cm^2,
Work out the values of f and g.
You must show all your working.
The values of f and g are;
f = 6
f = 6g = 8
We are given the trapezium ABCE where;
AD is parallel to BC
DE = 4 cm
Area of ABCE = 60 cm²
Area of ABCD = 48 cm²
f and g are sides of the rectangle ABCD. Thus;
fg = 48 - - - (eq 1)
Also,for the trapezium ABCE;
½(g + g + 4)f = 60
(2g + 4)f = 120 - - - (eq 2)
From eq 1, f = 48/g
Thus;
(2g + 4) × (48/g) = 120
96 + 192/g = 120
192/g = 120 - 96
192/g = 24
g = 192/24
g = 8
Thus;
8f = 48
f = 48/8
f = 6
Read more at;https://brainly.com/question/14742279
What is 1½ ÷ ⅜ plllllllllllzzzzz help!
Answer:
4
Step-by-step explanation:
1 1/2 ÷ 3/8
Change to an improper fraction
3/2 ÷ 3/8
Copy dot flip
3/2 * 8/3
Cancel like terms
8/2
4
Answer:
4
Step-by-step explanation:
all work is in the image below!
Factor the numerator and denominator and cancel the common factors.
Natasha uses 2.5 feet of twine to tie campfire wood into bundles. The proportional relationship between the number of bundles, x, and the amount of twine, y, in feet she uses is shown in the graph. What does the point (3, 7.5) represent in a graph?
Answer:
She uses 7.5 feet of twine to make 3 bundles of wood.
Phone’s Plus charges a connection fee of 35 cents and 3 cents per minute. Fabulous Phones charges a connection fee of 45 cents and 2 cents per minute. Which equation could be used to determine the number of minutes, x, when a phone call would cost the same at both companies?
A. 0.35+0.3x=0.45+0.2x
B. 0.35+0.03x=0.45+0.02x
C. 35+0.03x=45+0.2x
D. 35+0.03x=45+0.02x
Answer:
B. 0.35 + 0.03x = 0.45 + 0.02x
Step-by-step explanation:
I don't really know how to explain it, but it is correct.
A right cylinder has a diameter of 40 mm in a high of 30 mm as soon what is the volume of the cylinders
________________________________
Hey!!
Solution,
Diameter=40 mm
Radius=40/2=20mm
Height=30mm
Volume of cylinder=?
Now,
Volume of cylinder=pi (r)^2 h
= 3.14*(20)^2*30
=3.14*400*30
=37,680 mm^3
So the right answer is of option A
hope it helps
Good luck on your assignment
__________________________________
Answer:
37,680 mm3
Steps:
Formula: Volume = Area * height
1: = (pi/4)*D^2 * h
2: = (pi/4)*(40)^2 * 30
3: = 37,680 mm3
Description:
We know that r is the radius and h is the height. So the
radius of the cylinder going to be r=40/2=20mm
Height of cylinder: 30mm
Meaning when you add up all the numbers answer will come as 37,680 mm3. So a is the right answer for this question.
Answer: A. 37,680 mm3
Please mark brainliest
Hope this helps.
