Answer:
I think is The little (D) -12.4.
Please explain how to solve it
Answer: [tex]\frac{8x^3}{27y^6}[/tex]
This is the fraction 8x^3 all over 27y^6
On a keyboard, we can write it as (8x^3)/(27y^6)
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Explanation:
The exponent tells you how many copies of the base to multiply with itself.
We'll have three copies of [tex]\left(\frac{2x}{3y^2}\right)[/tex] multiplied with itself due to the cube exponent on the outside.
So,
[tex]\left(\frac{2x}{3y^2}\right)^3 = \left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2x*2x*2x}{(3y^2)*(3y^2)*(3y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{(2*2*2)*(x*x*x)}{(3*3*3)*(y^2*y^2*y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{9y^6}\\\\[/tex]
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Or another approach you could take is to cube each component of the fraction. The rule I'm referring to is [tex]\left(\frac{a}{b}\right)^c = \frac{a^c}{b^c}[/tex]
Applying that rule will lead to:
[tex]\left(\frac{2x}{3y^2}\right)^3 = \frac{(2x)^3}{(3y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2^3*x^3}{3^3*(y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^{2*3}}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^6}\\\\[/tex]
Either way you should get 8x^3 all over 27y^6 as one fraction.
simplify the expression 3 √ 2 - 5 √ 18
pls help work is due tonight i will give brainliest
Answer
the first one is the answer and none of the above
Step-by-step explanation:
Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1,670 km per hour. What is the circumference of Earth's equator?
Answer:
Solution in photo
Step-by-step explanation:
the sum of 1 and y is greater than or equal to 3 .
Inequality Answer: 1 + y ≥ 3
I hope this helps, and Happy Holidays! :)
What is the average rate of change of f over the interval -1
on a separate sheet of paper and upload the work as a photo. Show all
appropriate work necessary for full credit.
f(x)=
x² - x - 1
Answer:
Average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1
Step-by-step explanation:
We need to find average rate of change of f over the interval -1 < x < 1
The function given is: [tex]f(x)= x^2-x-1[/tex]
The formula used to find average rate of change is:
[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}[/tex]
We have, a = -1 and b = 1
Finding f(b) when b=1
[tex]f(x)=x^2-x-1\\f(1)=(1)^2-(1)-1\\f(1)=1-1-1\\f(1)=-1[/tex]
Now, finding f(a), when a= -1
[tex]f(x)=x^2-x-1\\f(-1)=(-1)^2-(-1)-1\\f(1)=1+1-1\\f(-1)=2-1\\f(-1)=1[/tex]
Now, putting values and finding average rate of change
[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}\\Average\:rate\:of\:change=\frac{f(1)-f(-1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-(1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-1}{1+1}\\Average\:rate\:of\:change=\frac{-2}{2}\\Average\:rate\:of\:change=-1[/tex]
So, average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1
Gill had less money than Roddy had
After Roddy spent 40% of his money,
he had $14 less than Gill. How much
money did Gill initially have?
Answer:
50
Step-by-step explanation:
Answer: the answer is 50
Step-by-step explanation:
For 4 weeks in June, Cameron biked 3 1/4 miles each week and swam 2 1/2 miles each week. For 3 weeks in July, he biked 4 3/4 miles each week and swam 3 1/2 miles each week
Step-by-step explanation:
Given that,
For 4 weeks in June, Cameron biked 3 1/4 miles each week and swam 2 1/2 miles each week.
For 3 weeks in July, he biked 4 3/4 miles each week and swam 3 1/2 miles each week.
We need to find how much greater was the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June.
In July, total distance is ,
[tex]4\dfrac{3}{4}\times 3+3\dfrac{1}{2}\times 3\\\\= \dfrac{19}{4}\times 3+\dfrac{7}{2}\times 3\\\\=24.75\ \text{miles}[/tex]
In June, total distance is :
[tex]=4\times 3\dfrac{1}{4}+4\times 2\dfrac{1}{2}\\\\=\dfrac{13}{4}\times 4+\dfrac{5}{2}\times 4\\\\=23\ \text{miles}[/tex]
Hence, in June total distance is 23 miles and in July total distance is 24.75 miles.
Please help me! Thank you so much!
Answer: It's (A) 12<X
Step-by-step explanation: I chose that one because the line highlighted on the number line, it's bigger than 12!
Combine like-terms of 6x-2x-2=-3x+4(x+7)
I will mark brainliest for the best and first answer .......:
Answer:
its the first one
Step-by-step explanation:
How many sides does a regular polygon have if each of its interior angles is 140 degrees?
- Step by step explanation
2. You are rolling a number cube. What is the probability that you will roll a
3? Answer in fraction form only.
Answer:
Step-by-step explanation:
1/2
Triangle GHI with vertices G(4, 1), H(5, -4), and I(2, -8) REFLECTED over the line y = x.
Answer:
[tex]G' = (1,4)[/tex]
[tex]H' = (-4,5)[/tex]
[tex]I = (-8,2)[/tex]
Step-by-step explanation:
Given
[tex]G = (4,1)[/tex]
[tex]H = (5,-4)[/tex]
[tex]I = (2,-8)[/tex]
Reflection: [tex]y = x[/tex]
Required
Determine the coordinates of G'H'I'
The following applies when a line A is reflected over [tex]y = x[/tex]
[tex]A = (x,y)[/tex]
[tex]A' = (y,x)[/tex]
i.e, we simply swap the positions of x and y
So, for:
[tex]G = (4,1)[/tex]
[tex]H = (5,-4)[/tex]
[tex]I = (2,-8)[/tex]
The reflections are:
[tex]G' = (1,4)[/tex]
[tex]H' = (-4,5)[/tex]
[tex]I = (-8,2)[/tex]
See attachment
what is the answer to the question?
Answer:
120°
Step-by-step explanation:
m<ABD+m<DBC=m<ABC
61°+59°=120°
hope this helped!
Answer:
We conclude that the value of m∠ABC = 120°
Step-by-step explanation:
Given
m∠ABD = 61°
m ∠DBC = 59°
To Determine
m∠ABC = ?
It is clear that the value of m∠ABC can be determined by adding m∠ABD and m∠DBC because m∠ABC the segment BD divides the angle m∠ABC into two adjacent angles m∠ABD and ∠DBC.
Therefore,
m∠ABC = m∠ABD + m∠DBC
= 61° + 59° ∵ m∠ABD = 61°, m ∠DBC = 59°
= 120°
Therefore, we conclude that the value of m∠ABC = 120°
Is it a, b, c, d, plz answer this
Answer:
d 4x^2 + 24x - 8
Step-by-step explanation:
Perimeter of the rectangle = 2x² - 5 + 12x + 1 + 2x² - 5 + 12x + 1
= (2x²+ 2x²) + (12x+ 12x) + (- 5 + 1 - 5 + 1)
= 4x² + 24x - 8
The perimeter of a rectangle is 64 feet. The length is two more than double the width. Find the dimensions of the rectangle.
Answer:
Length = 22 ; width = 10
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Perimeter = 64 feets
Length = 2 + (2*width)
Let :
Length = l ; width = w
Perimeter = 2((2 + (2w)) + w)
64 = 2(2 + 3w)
64 = 4 + 6w
64 - 4 = 6w
60 = 6w
w = 60/6
w = 10
Width = 10
Length = 2 + (2*width) = 2 + (2*10) = 2 + 20 = 22
Sam had 75 pollywog pralines. He wanted to put them in bags of 3. How many bags
will he need?
12
25
3
30
Answer:
sam will take the 75 pollywog pralines and divide them into the three bags
75÷3 =25
A sum of money amounts to ₹9800 after 5 years and ₹12005 after 8 years at the same rate of simple interest. What will be the rate of interest?
[Irrelevant answers will be reported]
Answer:
12%
Step-by-step explanation:
We can get SI of 3 years = 12005 - 9800 = 2205
SI for 5 years = (2205/3)*5 = 3675 [so that we can get principal amount after deducting SI]
Principal = 12005 - 3675 = 6125
So Rate = (100*3675)/(6125*5) = 12%
(05.01)A picture is 5 inches wide and 8 inches tall: A rectangle is shown. The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches. A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged? 40 in2 250 in2 100 in2 81.9 in2
Answer:
B. 250 in²Step-by-step explanation:
Dimensions of the picture:
5 in and 8 inArea of the picture:
5*8 = 40 in²Scale factor = 2.5
Enlarged picture's area:
40*2.5*2.5 = 250 in² (scale factor affects both dimensions)Option B is correct
The area of the picture after it is enlarged is 250 inches².
Given that,
The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.
A photographer wants to use a scale factor of 2.5 to enlarge a picture.
Based on the above information, the calculation is as follows:
Here, the dimensions of the picture are 5 in and 8 in
Hence, the area of the picture is,
5 × 8 = 40 in²
Since, Scale factor = 2.5
So, the enlarged picture's area would be,
40 × 2.5 ×2.5
= 250 in²
To learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ6
The regular price of a jacket is $62.00. If the discount rate is 15%, how much was the discount?
Discount amount = price x discount percentage as a decimal:
Discount amount = 62.00 x 0.15 = 9.30
Discount = $9.30
Answer:
$52.70
Step-by-step explanation:
find the third proportion to 8 and 12
Answer:
let the third proportion be x.
then 8,12 and x are in proportion
then 8:12=12:x
8x=12×12
x=144/8=18
Step-by-step explanation:
Help... it’s multiple choice math
Answer:
D
Step-by-step explanation:
This is equivalent to t < 4.
clearly this is not part of the set.
Helplsieedgoodgradeplspls
Answer:
He would need to walk the dog 6 more times because 8 times 11 is 88 and if he has already walked the dog 5 times you would subtract that from 11 to get 6. So the answer would be 6
Step-by-step explanation:
8·11= 88
11-5= 6