Answer:
[tex]\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})[/tex]
Step-by-step explanation:
The question is poorly formatted.
Given
[tex]\sqrt[3]{2y^3} * 7\sqrt{18y}[/tex]
Required
Derive an equivalent expression
[tex]\sqrt[3]{2y^3} * 7\sqrt{18y}[/tex]
Express 18 as 9 * 2
[tex]\sqrt[3]{2y^3} * 7\sqrt{9 * 2y}[/tex]
Split the expression as follows:
[tex]\sqrt[3]{2y^3} * 7\sqrt{9} * \sqrt{2y}[/tex]
Take positive square root of 9
[tex]\sqrt[3]{2y^3} * 7*3 * \sqrt{2y}[/tex]
[tex]\sqrt[3]{2y^3} * 21 * \sqrt{2y}[/tex]
[tex]21*\sqrt[3]{2y^3} * \sqrt{2y}[/tex]
The cube root can be rewritten to give:
[tex]21*\sqrt[3]{2}*\sqrt[3]{y^3} * \sqrt{2y}[/tex]
[tex]\sqrt[3]{y^3} = y^{3*\frac{1}{3}} = y[/tex]
So, we have:
[tex]21*\sqrt[3]{2} * y * \sqrt{2y}[/tex]
Rewrite as:
[tex]21y *\sqrt[3]{2} * \sqrt{2y}[/tex]
Split [tex]\sqrt{2y[/tex]
[tex]21y *\sqrt[3]{2} * \sqrt{2} * \sqrt{y}[/tex]
Collect Like Terms
[tex]21y*\sqrt{y} *\sqrt[3]{2} * \sqrt{2}[/tex]
Represent in index form
[tex]21y*y^{\frac{1}{2}} *2^\frac{1}{3} *2^\frac{1}{2}[/tex]
Apply law of indices
[tex]21*y^{1+\frac{1}{2}} *2^{\frac{1}{3} +\frac{1}{2} }[/tex]
[tex]21*y^{\frac{2+1}{2}} *2^{\frac{2+3}{6}}[/tex]
[tex]21*y^{\frac{3}{2}} *2^{\frac{5}{6}}[/tex]
[tex]21(y^{\frac{3}{2}})(2^{\frac{5}{6}})[/tex]
Hence:
[tex]\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})[/tex]
Plz help I sad today
I will give brainliest
Answer:
1. 18(2+3)
2. Dylan needs 1.375 more liters
Step-by-step explanation:
1. 36 and 54
2x3x3x2 =36
54 = 2x3x3x3
common factor = 3x3x2 or 18.
1. 18(2+3)
2.5-1.125
2.5000
- 1.125
1.375
Hope this helps!
Btw, i answered your question before!
3.2 geometry worksheet
Answer:
Step-by-step explanation:
5)
21x + 4 = 22x - 2
6 = x
6)
x + 72 + x + 132 = 180
2x + 204 = 180
2x = -24
x = -12
7)
22x + 2 = 90
22x = 88
x = 4
8)
12x + 10 = 13x + 3
7 = x
9)
17x = 16x + 5
x = 5
17(5) = 85°
10)
20x = 21x - 6
-x = -6
x = 6
20(6) = 120º
hope this helps <3
10. A tanning salon charges a one-time maintenance fee of $12 plus $4 for each tanning visit. Find a reasonable domain and range for the function for up to 6 visits.
Jesse added two more numbers to his expression, but the sum did not change. What could the two new numbers be? Explain why the numbers you chose would not affect the sum of Jesse’s expression.
Answer:
0 and 0
Step-by-step explanation:
The only number that can be applied to the expression without changing the sum is 0, for example 5 + 10 = 15, adding 2 0's will be 0 + 5 + 10 + 0 = 15 :D
data collected showes that the more you water the larger your plant will grow if you use the following equation y=1/2×+2 how tall will a plant be at 25 weeks if x is the number of weeks waterd andby represents rhe height of the plant
SOMEONE PLEASE HELP DONT SKIP NO ONE EVERY HELPS ME AND MY GRADE DEPENDS ON THIS PLSSSSS
Jack bought a new car. The price of the car was $18,936. He paid $3,000 upfront and got a loan for the remaining balance. If he paid the same amount each month for 4 years (at which point the car is paid off), how much was his monthly payment?
Answer:
Step-by-step explanation:
Given that:
Price of car = $18,936
Upfront paid = $3000
Time taken to pay remaining balance = 4 years
Amount paid per month if the same amount is paid per month
Remaining balance :
($18,936 - $3000) = $15,936
Number of months in 4 years = (12 * 4). = 48 months
Amount paid per month :
$15,936 / 48
= $332
today at Allison's cupcake and cookie budget for her party at $105 if you would like to have at least 40 cupcakes and cookies combined and would like to have at most five more cupcakes and cookies if cupcakes sell for $2.50 and cookies for $1.50 which system of inequalities could help Allison determine possible numbers of cupcakes and cookies that she will buy
Answer:
a ≤ b + 5
a + b ≥ 40
2.5 a + 1.5 b ≤ 105
Step-by-step explanation:
100 POINTS! WILL MAKE BRAINLIEST IF RIGHT!!!!
Answer:
[tex]-6 <f (x)\legslant 3[/tex]
Step-by-step explanation:
If you examine the diagram you can know
Extra information :-[tex]y=\dfrac {1}{x}[/tex]
[tex]\setlength{\unitlength}{2.5mm}\begin{picture}(10,10)\linethickness{0.45mm}\put(20,20){\vector(2,0){18}}\put(20,20){\vector(-2,0){18}}\put(20,20){\vector(0,2){18}}\put(20,20){\vector(0,-2){18}}\multiput(19.35,6)(0,2){15}{\line(1,0){1.3}}\multiput(6,19.35)(2,0){15}{\line(0,1){1.3}}\put(20,20){\circle*{1}}\qbezier(20.5,35)(20,20)(35,20.5)\qbezier(19.5,5)(20,20)(5,19.5)\end{picture}[/tex]
Answer:
up me is right :) so get his answer :)
Pls help!
a.) 2 is what percent of 1?
b.) M is what percent of N?
c.) What percent of 88 is 154?
Answer:
A)200%
B)I dont know sorry
C) 57.14. Not sure tho
Hope they are correct
PLEASEEEEE HELPPPPP!!
Answer:
1) b-x/a
Step-by-step explanation:
Answer:
Option 1
Step-by-step explanation:
x + ay = b
Subtract x from both sides;
ay = b - x
Divide both sides by a;
y = [tex]\frac{b-x}{a}[/tex]
Which of the following statements about absolute value is not true?
A.absolute value is the sign of the number
B.absolute value is the distance from zero
C.numbers have a sign and a size
D.absolute value is the size of the number
Step-by-step explanation:
A. Absolute value is the sign of the number.
Find the difference
-2(c + 2.5) - 5(1.2c + 4)
A sale person is given a choice of two salary plans 1weekly salary of $500 plus 4%commission of sale plan 2 is a straight commission of 8% of sales how much sales did she make in a week for both plans to result in the same salary?
Answer:
$12500
Step-by-step explanation:
Given that:
Salary plan 1:
Weekly salary of $500.
And a commission of 4%.
Salary plan 2:
Straight commission of 8%.
To find:
Weekly sales for which both the plans will make the same sales?
Solution:
Let the weekly sales = $[tex]x[/tex]
As per question statement:
Salary as per Plan 1 = $500 + 4% of [tex]x[/tex]
Salary as per Plan 2 = 8% of [tex]x[/tex]
Putting both the salaries to equal to find the total weekly sales.
$500 + 4% of [tex]x[/tex] = 8% of [tex]x[/tex]
[tex]\Rightarrow 500 = 4\%\ of\ x\\\Rightarrow 500 = \dfrac{4}{100}x\\\Rightarrow x = \$12500[/tex]
Therefore, the answer is:
For the sales of $12500, the salary will be same from both the plans.
What is an equation of the line that passes through the point (8,0) and is parallel to the line x - 4y = 20?
answer this problem and ill will give you brainliest
Answer:
It will be B. You’ll have an open circle on 4 with the arrow pointing left.
Step-by-step explanation:
Yesterday, Bethany sent 60 text messages. She said that 15% of those
messages were to her best friend. How many text messages did Bethany
send to her best friend yesterday?
Answer:
9
Step-by-step explanation:
60*0.15 is 9
Hope this helps plz hit the crown :D
Good Morning :^)
Question:
Yesterday, Bethany sent 60 text messages. She said that 15% of those
messages were to her best friend. How many text messages did Bethany
send to her best friend yesterday?
Well, let's figure this out!
Y is 15% of 60
Equation: Y = P% × X
First Step: Solve our equation for Y
Y = P% × X
Y = 15% × 60
Second Step: Convert percent to decimal:
p = 15%/100 = 0.15
Y = 0.15 * 60
Y = 9
Answer: Yesterday, Bethany sent 9 text messages to her best friend.
Select all the fractions that are equal to 4.9 Group of answer choices LaTeX: \frac{490}{10}490 10 LaTeX: \frac{49}{10}49 10 LaTeX: \frac{490}{100}490 100 LaTeX: \frac{49}{100}49 100 LaTeX: \frac{490}{1000}490 1000 LaTeX: \frac{49}{1000}
Answer:
thats a lot hold up
Step-by-step explanation:
Solve for the final amount you need to pay. Chinese foos $120 for delivery. You want to pay 15% tip. How much money total money will you give the delivery boy? Show work.
Answer:
$150
Step-by-step explanation:
Given
Delivery amount = $120
Percent tip on the delivery amount = 15%
Tip amount = 15% * 120
Tip amount = 0.15 * 120 = $30
Total money paid = Delivery amount + Tip
Total money paid = $120 + $30
Total money paid = $150
hence the total money you will give the delivery boy is $150
look at picture i need help
The Environmental Club is selling water bottles for $8 each and tote bags for $12 each to raise a total of $240 to donate to charity.
Let w = the number of water bottles
Let t = the number of tote bags
Write the linear equation for the fundraising goal.
Answer:
hi
Step-by-step explanation:
A car salesman has a salary of $600 a week. He also earns a 25% commission on the profit of his total sales. One week, he sold several vehicles for a final profit of $8500. How much money will he make that week in total.
If anyone knows the answer please help me
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 7x - 10 ← is in slope- intercept form
with slope m = 7
Parallel lines have equal slopes, thus
m = 7 and point on line is T(- 3, 3 )
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line, then
y - 3 = 7(x - (- 3) ), that is
y - 3 = 7(x + 3) → D
Solve with steps please! *EASY*
Step-by-step explanation:
3x-5y =13......eq(1)
x+4y=10....eq (2)
multiply the eq 2 with 3
then it becomes,
3x+12y=30
Subtracting eq2 from eq 1
3x-3x-5y-12y=13-30
-17y=-27
y=1.588
x+6.352=10
x=3.648
Answer:
i am very positive that the answer is 6'1
i need help real quick
Answer:
sorrie
Step-by-step explanation:
nothing here ;)
Answer:
with what I'm here to awnser
solve the following equation for the variable indicated
15 = Зn + 6р, for n
Answer:
Solving the equation [tex]15 = 3n + 6p[/tex] for variable n we get [tex]\mathbf{n=5-2p}[/tex]
Step-by-step explanation:
We need to solve the equation [tex]15 = 3n + 6p[/tex] for variable n
Solving:
[tex]15 = 3n + 6p[/tex]
Subtract both sides by 6p
[tex]15-6p = 3n +6p -6p\\15-6p=3n[/tex]
Switch sides of equality
[tex]3n=15-6p[/tex]
Divide both sides by 3
[tex]\frac{3n}{3} =\frac{15-6p}{3}\\n=\frac{3(5-2p)}{3}\\n=5-2p[/tex]
So, solving the equation [tex]15 = 3n + 6p[/tex] for variable n we get [tex]\mathbf{n=5-2p}[/tex]
The radius of a circle is 8 millimeters. what's the circle's area
Answer:
2.0111 × 100 square kilometers (km²)
Answer: Answer: 2.0111 × 100 square kilometers (km²)
Step-by-step explanation:
The temperature in the morning was−8 °F. The temperature dropped 13 degrees by night. What is the temperature at night?
Answer:
-21 degrees
Step-by-step explanation:
-8+(-13)=-21
HELP ME PLEASE NOWWW PLEASE AND THANK YOU
Answer:
X= 12
Step-by-step explanation:
3:9 is the ratio
1:3 is equal therefore the multiplicative factor is 3
lastly you do 4 times 3 to get 12 as the value for x
PS fac k you moderators I got my answer correct and u delete them fac k you
xx squared - XY + x squared - xy
Answer and Step-by-step explanation:
[tex]x^{2} - xy + x^{2} -xy\\\\2x^{2} -2xy[/tex]
This is the answer.
In case your expression is:
[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Solution:
Given the expression
[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Group like terms
[tex]x^2\:-\:xy\:+\:x^2\:-\:xy=x^2+x^2-xy-xy[/tex]
Add similar elements: x²+x² = 2x²
[tex]=2x^2-xy-xy[/tex]
Add similar elements: -xy-xy = -2xy
[tex]=2x^2-2xy[/tex]
Thus,
[tex]x^2-xy+x^2-xy=2x^2-2xy[/tex]
In case your expression is:
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Solution:
Given the expression
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Group like terms
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-xy-xy+\left(xx\right)^2[/tex]
Add similar elements: -xy-xy = -2xy
[tex]=x^2-2xy+\left(xx\right)^2[/tex]
as (xx)² = x⁴
so [tex]=x^2-2xy+x^4[/tex]
Therefore, we conclude that:
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-2xy+x^4[/tex]The coordinates of the vertices of the preimage of a parallelogram are (1,5), (3,3), (3,7), and (5,5). The coordinates of the vertices of the image are (−5,3), (−3,1), (−3,5), and (−1,3).
How far and in what direction was the parallelogram translated? Write your answer using mapping notation and practice reading your answer aloud.
The actual image of the parallelogram has been translated by 6 units left and 2 units down of the preimage parallelogram.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
Given the preimage of a parallelogram with vertices (1,5), (3,3), (3,7), and (5,5).
If we plot in the coordinate plane as shown below.
Now plot the image of a parallelogram with vertices (−5,3), (−3,1), (−3,5), and (−1,3).
If we take only one vertex of the preimage to let's say (1,5) now if we look at the corresponding vertex in the image then it is (-5,3).
1 + x = -5 ⇒ x = -6 (6 units left)
5 + y = 3 ⇒ y = -2 (2 units down)
Hence "The actual image of the parallelogram has been translated by 6 units left and 2 units down of the preimage parallelogram".
To learn more about the transformation of graphs,
brainly.com/question/3099136
#SPJ2