1. Which expression is equivalent to 60m 2n6 for all values of m and n where the 5m-on-2 expression is defined? A. 12mns 12n B D. 55m?n mo
Answers
Given:
The expression is:
[tex]\dfrac{60m^{-2}n^6}{5m^{-4}n^{-2}}[/tex]
To find:
The equivalent expression.
Solution:
We have,
[tex]\dfrac{60m^{-2}n^6}{5m^{-4}n^{-2}}[/tex]
It can be written as:
[tex]=\dfrac{60}{5}\times \dfrac{m^{-2}}{m^{-4}}\times \dfrac{n^6}{n^{-2}}[/tex]
[tex]=12\times m^{-2-(-4)}\times n^{6-(-2)}[/tex] [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]
[tex]=12\times m^{-2+4}\times n^{6+2}[/tex]
[tex]=12m^{2}n^{8}[/tex]
Therefore, the correct option is A.
Related Questions
A number cube with the numbers 1 through 6 is rolled. Find the given probability
Answers
[tex]\huge\red{\mid{\underline{\overline{\textbf{ANSWER}}}\mid}}[/tex]
[tex]D)\frac{5}{6}\;is \: your \: answer[/tex]
Answer:
5/6
Step-by-step explanation:
I had this question and it was correct.
choices ;
a) AAS
B)ASA
Answers
What is the length of the missing side of the triangle below?(round to the nearest tenth)
Answers
Answer:
[tex] \sqrt{ {2}^{2} + {6}^{2} } = \sqrt{40 } = 2 \sqrt{10} [/tex]
ILL BRAINLIEST YOU IF YOU GET IT RIGHT
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PLEASE HELP I’ll give brainlest or whatever it’s called!!
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What is the volume of this figure
Plz help guyssss
Answers
(-4/5) (15/8) (7/3) (-1)
Answers
Answer:
7/2
Step-by-step explanation:
Roy hit 3 less than 4 times the number of balls during baseball practice than Joe did. Together the boys hit 52 balls. How many balls did Joe hit?
Answers
Joe = x
Roy = 4x - 3
They add up to 52 balls
x + 4x - 3 = 52
5x - 3 = 52
5x = 55, x = 11
Since Joe is x, he hit 11 balls
Answer:
Joe hit 11 balls Roy hit 41
Step-by-step explanation
Joe = J
Roy = 4J-3 (4times Joe less 3)
J+ 4J-3 = 52
5J -3 = 52
Add 3 on both sides
5J = 55
Divide both sides by 5
J= 11
Joe = 11
11X4 = 44
44-3 = 41
Roy 41
11+41 = 52
Gerardo works at an ice cream shop each flavor of ice cream is stored in a right cylindrical tub that measures approximately 9 inches high with a radius of 5 inches Gerardo uses an ice cream scoop that makes spherical scoops of ice cream with a diameter of 2.5 inches If gerardo opens a new tub of chocolate ice cream and scoops 37 scoops of chocolate ice cream about how much chocolate ice cream in cubic inches is left in the tub
Answers
Answer:
Volume left = 404.32 cubic inches
Step-by-step explanation:
volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
volume of ice cream in the cylindrical tub = [tex]\frac{22}{7}[/tex] x [tex]5^{2}[/tex] x 9
= [tex]\frac{22}{7}[/tex] x 25 x 9
= 707.1429
Volume of ice cream in the cylindrical tub is 707.14 cubic inches.
The ice cream scoop has a spherical volume, so that;
volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
r = [tex]\frac{2.5}{2}[/tex]
= [tex]\frac{5}{4}[/tex] inches
volume of the scoop = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](\frac{5}{4} )^{3}[/tex]
= [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex]\frac{125}{64}[/tex]
= 8.1845
volume of the scoop is 8.19 cubic inches.
If he scoops 37 scoops,
volume of the 37 scoops = 37 x 8.1845
= 302.8265
volume of 37 scoops is 302.83 cubic inches.
Volume of ice cream left in the tub = 707.1429 - 302.8265
= 404.3164
Volume of ice cream left in the tub is 404.32 cubic inches.
Cylinder A has a volume of 6 cubic units, and a height of 3 units. Cylinder B has the same base area and height,
but its slant height is 4 units. What is the volume of cylinder B?
Answers
Answer: 6
Step-by-step explanation:
Find the value of x in the triangle shown below
Answers
Step-by-step explanation:
2x+80=180
2x=100
x=50
hope this helps
Rose made 56 phone calls in 3 months. In the first month she made 24 calls, and in the second month she made 13 calls. How many calls did she make in the third month?
Answers
Answer:
19
Step-by-step explanation:
Call made in the 3rd month = total calls made - calls made in the first month - call made in the 2nd month
56 - 24 - 13 = 19 calls
Find all solutions of the equation in the interval [0,2pi).
3csc^2x-4=0
Answers
=
2
у
when x = 21
y=3* + 20
Answers
Answer:
Step-by-step explanation:
Which of the following best describes the vertex of the parabola below?
Answers
Answer:
a. 1,2 maximum is vertex of the parabola
Graph the function f(x)=-|x+2|+1
Answers
Answer:
for all the plato users...
Step-by-step explanation:
Someone help me please show me how you got it to please
Answers
Answer:
See explanation
Step-by-step explanation:
The hypotenuse is the longest side of a triangle.
You could either add a point at (3,2) or (6,9) to make a right triangle and get the same answer, but for the sake of looking at it right-side-up, I'd use (3,2).
Now, you can use the distance vertically (y coordinate) from the top point to the bottom point ( 9 to 2 ) as your first side length. 9-2= 7, so 7 is that side length.
Then, you can use the distance horizontally (x coordinate) from the bottom left point (3,2) to the bottom right point (6,2). 6-3= 3, so 3 is that side length.
Now for the Pythagorean Theorem (a^2 + b^2 =c^2)
7^2 + 3^2 = c^2
49+9=c^2
58=c^2
c= [tex]\sqrt{58\\\\}[/tex] is the distance between points
f(x)=3x+5 and g(x)=x^2
find g(3x)
Answers
Answer:
g(3x) = 9x²
Step-by-step explanation:
To evaluate g(3x) substitute x = 3x into g(x) , that is
g(3x) = (3x)² = 9x²
How do you add images?
Answers
Answer:
Well, I've highlighted a paper clip like symbol (in pink) [click on the image - the white blank above this to view the image]. You have to click that symbol to add images.
Which set of angles is complementary?
Answers
Answer:
angles ECF and BCF
Step-by-step explanation:
Ratio..A candy store sells snacks by weight. A six ounce bag of candy cost $3.60. Predict the cost of a 2ounce bag.
Answers
Answer:
A 2 ounce bag costs $1.2.
Step-by-step explanation:
With the information provided, you can use a role of three to find the cost of a 2 ounce bag given that you know that a six ounce bag costs $3.60.
6 ounce bag → 3.60
2 ounce bag → x
x=(2*3.60)/6
x=7.20/6
x=1.2
According to this, the answer is that a 2 ounce bag costs $1.2.
Carmen had
of a spool of yarn. She used
of her yarn for a project. What fraction of the spool was used for the project?
Write your answer in simplest form.
Answers
it would depend how much you actually used, but you would take the amount you used and divide it by the total amount of yarn. so if the yarn was 4m long and you used 2m then it would be 2/4 which is 0.5 which is also 50%, so half the yarn was used.
What two numbers have a product of 28 and a sum of 11?
Answers
Answer:
7 and 4
Step-by-step explanation:
Answer:
7 and 4
Step-by-step explanation:
7 x 4 = 28
&
7 + 4 = 11
Can someone please help me
Answers
5n + 2 = 22
- 2 - 2
___________
5 n = 20
÷ 5 ÷ 5
___________
n = 4
What is the length of line ED?
Answers
Answer:
ED = 8
Step-by-step explanation:
2x+4 = (3/2)x+6
2x = (3/2)x+2
(1/2)x = 2
x = 4
ED = 4+4 = 8
when kurt orders from a catalog, he pays 3.50 for shipping and handling in addition to the cost of the goods that he purchases. kurt paid 33.20 when he ordered six packs of socks . write and solve the equation to find the price of one pair of socks
Answers
Answer:
3.50 + 6x = 33.20
x = 4.95
Step-by-step explanation:
Solve the equation.
Can I have Brainliest?
It costs Eduardo 2 d 3 dollars to go to the carnival for d days. How many dollars does the carnival cost if Eduardo goes for d 5 days?
Answers
Answer:
$250
Step-by-step explanation:
Given: Cost for d days carnival = $2d^3 .....(i)
where d is number of days
Now we have to calculate the total cost incured for 5 days of carnival
we can simply put d = 5 in above equation (i)
= 2×5^3 = 2×125 = $250.
Therefore carnival cost if Eduardo goes for d 5 days = $250
find the slope when given the following points (1 6) and (3 -4)
Answers
Answer:
Slope= (-4-6)/(3-1)
=-10/2
=-5
A soccer ball is kicked from the ground with an initial upward velocity of 64 meters per second, and the height of the ball can be represented by the equation h = -16t^2 + 64t. After how many seconds will the ball hit the ground?
Answers
Answer:
t = 2 seconds
Step-by-step explanation:
Given that,
h = -16[tex]t^{2}[/tex] + 64 t
where h and t have their usual meaning.
To determine the number of seconds required of the ball to hit the ground, differentiate the given equation with respect to t.
0 = -32 + 64
So that,
32t = 64
t = [tex]\frac{64}{32}[/tex]
t = 2
The ball will hit the ground in 2 seconds.
In a bag of jellybeans there are 6 purple jellybeans, 5 blue jellybeans, 3 yellow jellybeans, 2 green jellybeans, and 4 red jellybeans. One jellybean is selected at random. What is the probability of selecting a jellybean that is not green?
Group of answer choices
2/20
1/9
1/10
9/10
Answers
Answer:
9/10
Step-by-step explanation:
There are 20 and 2 green 20-2 is 18 so 18/20 simplified is also 9/10
Answer:
9/10
Step-by-step explanation:
hope it helps
