Answer:
The expression is equivalent to[tex]A=\sqrt[4]{\frac{24\ x^{6}\ y}{128\ x^{4}\ y^{5}}}[/tex] is [tex]\frac{\sqrt[4]{3}}{2}}\times \frac{\sqrt{x}}{y}[/tex].
Step-by-step explanation:
The expression provided is:
[tex]A=\sqrt[4]{\frac{24\ x^{6}\ y}{128\ x^{4}\ y^{5}}}[/tex]
Simplify the expression A as follows:
[tex]A=\sqrt[4]{\frac{24\ x^{6}\ y}{128\ x^{4}\ y^{5}}}[/tex]
[tex]=\sqrt[4]{\frac{24}{128}\times x^{(6-4)}\times y^{(1-5)}}\\\\=\sqrt[4]{\frac{3}{16}\times x^{2}\times y^{-4}}\\\\=[\frac{3}{16}\times x^{2}\times y^{-4}]^{1/4}\\\\=[\frac{3}{16}]^{1/4}\times x^{(2\times (1/4))}\times y^{(-4\times (1/4))}\\\\=\frac{\sqrt[4]{3}}{2}}\times x^{1/2}\times y^{-1}\\\\=\frac{\sqrt[4]{3}}{2}}\times \frac{\sqrt{x}}{y}[/tex]
Thus, the expression is equivalent to[tex]A=\sqrt[4]{\frac{24\ x^{6}\ y}{128\ x^{4}\ y^{5}}}[/tex] is [tex]\frac{\sqrt[4]{3}}{2}}\times \frac{\sqrt{x}}{y}[/tex].
Equivalent expressions are expressions that have equal values
The equivalent expression of [tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}[/tex] is [tex]\frac 1{2y}\sqrt[4]{ 3x^2}}[/tex]
The expression is given as:
[tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}[/tex]
Divide 24 and 128 by 8
[tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \sqrt[4]{ \frac{3x^6y}{16x^4y^5}}[/tex]
Take 4th root of 16
[tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 12\sqrt[4]{ \frac{3x^6y}{x^4y^5}}[/tex]
Apply law of indices, to simplify the fraction
[tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 12\sqrt[4]{ 3x^{6-4}y^{1-5}}[/tex]
Simplify
[tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 12\sqrt[4]{ 3x^{2}y^{-4}}[/tex]
Rewrite as:
[tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 12\sqrt[4]{ \frac{3x^{2}}{y^4}}[/tex]
Take 4th root of y^4
[tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 1{2y}\sqrt[4]{ 3x^2}}[/tex]
Hence, the equivalent expression of [tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}[/tex] is [tex]\frac 1{2y}\sqrt[4]{ 3x^2}}[/tex]
Read more about equivalent expressions at:
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f(n)=93+4(n-1) Complete the recursive formula of f(n)
Answer:
f(1) = 93
f(n) = f(n - 1) + 4
Step-by-step explanation:
The recursive formula for an arithmetic sequence is given as:
f(1) = a
f(n) = f(n - 1) + d
where a = first term and d = common difference
An arithmetic sequence is in the form:
f(n) = a + d(n - 1)
where a = first term and d = common difference
The common difference in f(n) = 93 + 4(n-1) is 4.
The first term is 93.
The recursive formula is therefore:
f(1) = 93
f(n) = f(n - 1) + 4
Answer:
f(1)=93
f(n)=f(n-1)+4
Step-by-step explanation:
As you can see in the picture, the initial value is 93, which is why it's the first part of the equation. The 4 is multiplying the (n-1) part in the equation and as we complete the recursive formula of N, you have to put the numbers in the correct order.
Determine the measure of the named angle below.
mZK
K
40°
Step-by-step explanation:
Bro this problem cannot be solved. No solutions. I need at least one more angle or the type of triangle it is. Like iscoceles or scalene, or equilateral. Pls give me that info and then I can solve it for u
these 2 questions please will mark brainly
Answer:
[tex]28\sqrt{2}[/tex]
Step-by-step explanation:
To answer this question, you must split 98 into 2 factors:
98
2 49
7 7
2 and 49 can be multiplied to get 98. 49 is also a perfect square, meaning the factors are going to be the same number, which is 7. Since there are two 7's you take that out of the radical, like so:
[tex](7)4\sqrt{2}[/tex]
[tex]28\sqrt{2}[/tex]
180/9 x 10^-5
IN SCIENTIFIC NOTATION
Answer:
2*10^-4
Step-by-step explanation:
Answer:
2.0x10^6
Step-by-step explanation:
First, let's change the number in the numerator into scientific notation.
180/ 9.0x 10^-5 = 1.80x10^2/ 9.0x10^-5
Start by collecting the significance and exponents.
1.80X10^2/ 9.0x10^-5 = 1.80/ 9.0x 10^2/10^-5
Then divide each term separately. When dividing exponents with the same base, subtract their power.
=0.20x10^2-(-5) =0.20x 10^7
To write the answer correctly in scientific notation, the first number needs to be between 1 and 10. In this case, we need to move the decimal one position to the right without changing the value of our answer.
We can use the fact that 0.20 is the same as 2.0/10, or 2.0x 10^-1
=2.0x10^-1x 10^7
=2.0x 10^-1+7
=2.0x 10^6
need help with question 40!!!!
Answer:
0.84
Step-by-step explanation:
You got number 38 wrong. It should be 0.625
So number 39's answer should be the code.
0.84
How do you find the mean of a data set ?
Step-by-step explanation:
You have to add up all the data values and then divide it by how many numbers there are. For example:
1,2,3,4,5,6,7
1+2+3+4+5+6+7= 28
There are 7 numbers, so 28/7 equals 4
Mean= 4
HELP U GUYS. For a fundraiser, Alex sold large boxes of oranges for $9 each and small boxes of oranges for $5 each. if he sold 17 boxes in all total for 105, how many more small boxes than large boxes did he sell?
A.5
B.7
C.9
D.11
Answer:
He sold 7 more small boxes than large boxes
Step-by-step explanation:
Let x be the no of small boxes sold .
Cost of 1 small boxes of oranges = $5
Cost of x small boxes of oranges = 5x
Let y be the no. of large boxes sold
Cost of 1 large boxes of oranges = $9
Cost of y large boxes of oranges = 9y
He sold 17 boxes in all total for 105
So,x+y=17 ---1
So,5x+9y=105 ---2
Substitute the value of x from 1 in 2
5x+9(17-x)=105
5x+153-9x=105
153-105=4x
[tex]\frac{153-105}{4}=x[/tex]
12=x
Substitute value of x in 1
12+y=17
y=17-12
y=5
Difference in no. of boxes = 12-5 = 7
So, He sold 7 more small boxes than large boxes
Mindy and Troy combined ate 9 pieces of the wedding cake. Mindy ate 3 pieces of cake and Troy had \dfrac14
4
1
start fraction, 1, divided by, 4, end fraction of the total cake.
Answer:
Equation: 3 + 1/4c = 9
24 pieces of cake
Step-by-step explanation:
from khan :))
How many pennies are equal to 6 dimes?
Answer:
60 pennies
Step-by-step explanation:
Answer:
60 pennies
Step-by-step explanation:
Which describes the error and solve for surface area.
30 POINTS!!
find 10 rational numbers between -2/3 and 2/3
Answer:
Hey! Here is your answer. Hope it helps.
EMERGENCY PLZ HELP ASAP
For the diagram shown, x = 80 and y = 30. Determine the value of z.
A) 20
B) 40
C) 50
D) 100
Answer:
C) 50
Step-by-step explanation:
x+90+90+y+z=360
270+y+z=360
y+z=90
Therefore, C) 50
Answer:
50 degrees
Step-by-step explanation:
Ah ok so we know that x= 80 degrees.
y+z= x.
So all you have to do is input the values.
80-30=50
Hence the answer is C) 50
Eric created a rectangular patio 1 ft.² paving stones which are sold in batches by a dozen the patio measures 7‘ x 8‘ how many batches of Pavingstone did Eric need
Answer:
The number of batches of paving stones Eric needs is 5 batches
Step-by-step explanation:
Here we have the size of of one paving stone = 1 ft²
The dimensions, size, of one patio = 7 ft × 8 ft = 56 ft²
Therefore, the number of paving stones Eric needs per patio is given by the relation;
[tex]Number\, of\ paving\ stones \ required =\frac{size\, of \, one\, patio}{size \, of \, one\, paving\, stone} = \frac{56 \, ft^2}{1 ft^2/(paving \, stone)} = 56 \, paving \, stones[/tex]
Since the paving stones are sold in batches of one dozen, we have ;
4 batches = 48 paving stones and 5 batches = 60 paving stones
Therefore, the number of batches of paving stones Eric needs = 5 batches.
Which rule best describes the following pattern?
8, 4, 10, 6, 12, 8, 14, ...
Answer: It decreases by four then go up by six or increase by 6.
Step-by-step explanation:
It shows the alternating increased by 2
It decreases by four then go up by six or increases by 6.
We have given the pattern is
8, 4, 10, 6, 12, 8, 14, ....
We can see that
the first number is 8 and the second is 4
8>4
from 8 to 4 it is decreasing and the 4 to 10 it is increasing and again after 10 it is decreasing a.
What is the meaning of increasing?Increasing means there is a second number is greater than the first number third number is greater than the second number and so on.
There is two pattern
8,10,12,14....
Increasing by 2
4,6,8.....
Increasing by 2
Therefore it shows the alternating increased by 2.
To learn more about the series visit:
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Joanie uses 6.4 pints of blue paint and white paint to paint her bedroom walls. 3 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Correct question:
Joanie uses 6.4 pints of blue paint and white paint to paint her bedroom walls. ³/₄ of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answer:
The quantity of white paint she used to paint her bedroom walls is 1.6 pints
Step-by-step explanation:
Given;
total quantity of blue paint and white paint used by Joanie = 6.4 pints
she uses ³/₄ of the total quantity of the paints as blue
the remaining fraction as white paint = 1 - ³/₄ = ¹/₄
The fraction of the total quantity of paints that is white paint = ¹/₄
And,
The quantity of white paint she used to paint her bedroom walls = ¹/₄ x 6.4 pints = 1.6 pints
Then, quantity of blue paint she used = ³/₄ x 6.4 = 4.8 pints
Check:
blue paint + white pain = total
4.8 + 1.6 = 6.4 pints
Therefore, the quantity of white paint she used to paint her bedroom walls is 1.6 pints
Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values is 36.
What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.
4.5
6
14
15.5
Answer:
The standard deviation from the mean is the square root of the variance.
Therefore, SD = sqrt(VAR) = sqrt(36) = 6
Hope this helps!
:)
:PROBLEM Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values is 36.
QUESTION. What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.
RESULUTIONS
4.5
6
14
15.5
ANSWER.=6
Bruno is sewing a large rectangular tablecloth for a restaurant. He has 30 square feet of fabric and the length of the table cloth needs to be 7.5 feet. What is the width of the tablecloth if he uses all of the fabric?
Answer:
Step-by-step explanation:
4 ft
Answer:
Step-by-step explanation:
4 ft
brainliest pls i need it :,)
What is the velocity vector for a moving particle with a position vector [tex]r(t)=(t,e^t)[/tex]?
[tex](1,e^t)[/tex]
(t, ln(t))
(t^2)/2, e^t
(2, e^t)
Thanks!!
Answer:
(1, eᵗ)
Step-by-step explanation:
r(t) = (t, eᵗ)
v(t) = dr/dt
v(t) = (1, eᵗ)
Suzanne folded 12 towels. If Allison folded 4 times as many towels as Suzanne, which number sentence shows how many towels Allison folded? A. 12 × 12 = 144 B. 4 × 12 = 48 C. 4 × 4 = 16 D. 12 + 4 = 16
Answer:
B
Step-by-step explanation:
Let's use S for Suzanne
A for Allison
S= 12
4s = A
4 x 12 =48
How many total atoms are in 3 molecules of CO2 (carbon dioxide)?
Answer:
9
Step-by-step explanation:
there are 3 atoms in one co2 molecule. 3 x 3=9
Answer:
in three molecules of CO2 there are:
3 Carbon Atoms and 6 Oxygen Atoms
If your looking for the atoms in ONE molecule then there is:
One Carbon Atom and Two Oxygen Atoms
2х + 5y = 6
x+2y = -3
what is x?
Answer:
x = -3
In-Depth Steps:
1.) Start with the bottom equation: [tex]x+2y=-3[/tex]
2.) Set [tex]x[/tex] alone on one side of the equal sign. Your equation will look like [tex]3+2y=x[/tex].
3.) Plug [tex]3+2y[/tex] in for [tex]x[/tex] in the first equation. You will get [tex]2(3+2y)+5y=6[/tex].
4.) Distribute. Your equation now looks like this: [tex](6+4y)+5y=6[/tex].
5.) Combine like terms. You will get [tex]6+9y=6[/tex].
6.) Subtract 6 from both sides. You get [tex]9y=0[/tex]. We can learn that Y=0.
7.) Go back to either equation and put 0 in for y.
8.) In the top equation, it would look like [tex]2x=6[/tex] and the bottom equation would look like [tex]x=-3[/tex]. We basically got our answer of [tex]x = -3[/tex], but we will plug it into the [tex]2x=6[/tex] equation, and in-fact, we get x = -3.
Find parametric equations for the line through point P(-4,5,2) in the direction of the vector (-6,6,-5)
The vector v (-6, 6, -5) points in the direction of itself, so we start there.
We can capture all points on the line through the origin and the point (-6, 6, -5) by scaling v by an arbitrary real number t.
The line through point P and pointing in the same direction as v is parallel to the other line that passes through the origin. Then the line we want can be obtained by translating the line through the origin by a vector p that points to (-4, 5, 2), so the vector equation for this line is
r (t ) = p + t v
r (t ) = (-4, 5, 2) + t (-6, 6, -5)
r (t ) = (-4 - 6t, 5 + 6t, 2 - 5t )
To get the parametric equations, simply take out the components:
x (t ) = -4 - 6t
y (t ) = 5 + 6t
z (t ) = 2 - 5t
60 + 7.20 + 7.80 please math is so dumb
Answer: 75
Step-by-step explanation: 7.20+7.80=15 then 15+60=75
Find the area of a circle with a radius of 5 feet. Please help
Answer:
see below
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi (5)^2
A = 25 pi
Using 3.14 for pi
A = 78.5 ft^2
Using the pi button
A =78.53981634 ft^2
Sarah has $20 saved. She gets $10 per week for her allowance, and she saves her allowance for the next 3 weeks. At the end of the week, she gets $150 in birthday money. How much money will she have after the 3 weeks?
Answer:
Sarah will have $200 after 3 weeks
Step-by-step explanation:
amount saved at the start = $20
amount saved per week = $10
number of weeks = 3
∴ Total savings from allowance after 3 weeks = 10 × 3 = $30
Amount received in birthday money = $150
∴ Total amount saved after 3 weeks = amount saved at the start + Total savings from allowance after 3 weeks + Amount received in birthday money
Total amount saved after 3 weeks = 20 + 30 + 150 = $200
Therefore Sarah will have $200 after 3 weeks
Please helppp. Find the equation of line
Answer:
[tex]y=2/3x+4[/tex]
Step-by-step explanation:
[tex](0,4);(-6,0)[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{4-0}{0-(-6)} =\frac{4}{6}=\frac{2}{3}[/tex]
A cylinder with radius of 8 yd and a height of 12 yd
Answer:
A=1005.31 yd2
V=2412.74 yd3
Step-by-step explanation:
V=πr2h
A=2πrh+2πr2
What is the probability of rolling a number cube and getting a number greater than four?
does someone know the answer
Answer:
even. all circles are in paris
Step-by-step explanation:
all circles are in pairs which means its even. also you can memorize 8 as a even number
Kayla says that the point labeled C in the diagram below is the center.
Raymond says that point C is the radius.
Who is correct and why?
A.Kayla is correct; the center is a fixed point in the middle of the sphere.
B.Kayla is correct; the center is a line segment from the center to the surface of the sphere.
C.Raymond is correct; the radius is the fixed point in the middle of the sphere.
D.Raymond is correct; the radius is a chord that is from the center to the surface of the sphere.
HURRY I WILL GIVE U THE BRAINLYEST BECAUSE I AM IN A TIMER PLZ!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
