Answer:
[tex]= \frac{2m^2n^8}{3}[/tex]
Step-by-step explanation:
Given expression is
[tex](\frac{4m^{-2}n^8}{9m^{-6}n^{-8}} )^{\frac{1}{2}[/tex]
The correct simplified form is shown below:-
From the above equation, we will simplify
we will shift [tex]m^{-6}[/tex] to the numerator and we will use the negative exponent rule, that is
[tex]= (\frac{4m^{-2}n^8m^6}{9n^{-8}} )^{\frac{1}{2}[/tex]
now we will shift the [tex]n^{-8}[/tex] to the numerator and we will use the negative exponent rule, that is
[tex]= (\frac{4m^{-2}n^8m^6n^8}{9} )^{\frac{1}{2}[/tex]
here we will solve the above equation which is shown below
[tex]= (\frac{4m^4n^{16}}{9}) ^\frac{1}{2}[/tex]
So,
[tex]= (\frac{(2)^2(m^2)^2(n^8)^2}{(3)^2} ^\frac{1}{2}[/tex]
Which gives result
[tex]= \frac{2m^2n^8}{3}[/tex]
0.29 rounded? I need this for msth and quick!!
Answer:
0.29 rounded to the nearest ones is 0.
0.29 rounded to the nearest tenths is 0.3
0.29 rounded to the nearest hundredths is 0.29
Step-by-step explanation:
Note that when rounding, you always look at the place value directly next to the one you are rounding. Note that if the digit is 5 or greater, round up; If 4 or less, round down.
Round to the nearest ones:
Look at the place value directly next to the ones (tenths place value). It is a 2. Because 2 is less than 5, round down:
0.29 rounded to the nearest ones is 0.
Round to the nearest tenths:
Look at the place value directly next to the tenths (hundredth place value). It is a 9. Because 9 is greater than 5, round up:
0.29 rounded to the nearest tenths is 0.3
Round to the nearest hundredths:
Look at the place value directly next to the hundredths (thousandths place value). Because there is no number, it is typically signified by a 0 (place holder).
0.29 rounded to the nearest hundredths is 0.29
~
is the square root of 5 between 2 and 3
Answer: Yes, it’s 2.23607
What is the gravitational potential energy (in Joules) of a 75 kg tourist at the top floor of the Sears Tower in Chicago that is 436 m high? Place the value in the space below without any commas or letters.
Answer:
Gravitational potential energy = 320,460 joules
Step-by-step explanation:
Given:
Mass of tourist = 75 kg
Height = 436 m
Gravitational accelration = 9.8 N/kg
Find:
Gravitational potential energy
Computation:
Gravitational potential energy = mgh
Gravitational potential energy = (75)(9.8)(436)
Gravitational potential energy = 320,460 joules
Answer:
Step-by-step explanation:
Solve the system of linear equations in two variables by elimination or substitution.
2x + 4y = 4
2x - y=1
Answer:
x = 0.8 y = 0.6
Step-by-step explanation:
Solve one of the equations for a single variable, I chose the 2nd equation and solved for the variable y and I got y = 2x -1.
Next plug in the value for y into the 1st equation, I got :
2x + 4 ( 2x - 1) = 4
Next solve for x by first distributing the 4 to the (2x-1), this becomes (8x -4) then add like terms and move the -4 to the other side of the equation by addition. I got 10x =8 then I divided 8/10 to solve for x and I got 0.8.
Now plug the value 0.8 in for x in the 2nd equation : 2*(0.8) - y = 1
Then solve for y by subtracting 2*(0.8) or 1.6 from 1 and I got -0.6, lastly divide by -1 to solve for y.
* Required
Solve.
15) 4x + 2 y = 14
2x + y = 8
Answer:
Step-by-step explanation:
4x + 2y = 14
-4x - 2y = -16
0 ≠ -2
no solutions
the Rope is 30m long. how many 3/4 meter pieces can be cut from the rope
Answer:
40
Step-by-step explanation:
Given:
Length = 30 mPieces = 3/4 mNumber of pieces:
30 ÷ 3/4 = 30 × 4/3 = 40 piecesThe first five batters on a softball team’s lineup have the following numbers of hits for the season: 83, 71, 68, 62, 61. What is the mean number of hits for these five players?
Answer:
296.2
Step-by-step explanation:
Answer:
69
Step-by-step explanation:
83+71+68+62+61(players hits for the season)=345
345(total of numbers added)÷5(number of players)
69(average of players hits as a team)
Simplify.
40w4
8w6
Only simplify don’t actually solve and if u give me the right answer first I’ll give u the crown
Please help me find the answer
Answer:
[tex]k = \frac{2P}{x^2}[/tex]
Step-by-step explanation:
[tex]P= \frac{1}{2} kx^2\\\\P=\frac{kx^2}{2}\\\\ 2P =kx^2\\\\\frac{2P}{x^2}= \frac{kx^2}{x^2} \\\\k= \frac{2P}{x^2}[/tex]
Which property is not a characteristic of a parallelogram?
O A. Opposite sides are congruent.
B. All angles are congruent.
O C. Opposite sides are parallel.
D. Opposite angles are congruent.
Answer:
B
Step-by-step explanation:
A store sells three varieties of cheese cheddar, Gouda, and Swiss. Each variety of cheese is available in two different styles shredded or sliced. How many possible outcomes for the variety and style of cheese are there?
Answer:
6 possible outcomes
Step-by-step explanation:
To solve this problem, we have to make use of the Fundamental Counting Principle formula.
The formula counting principle states that when we are given two or more distinct events, in order to get the total number of possible outcomes, we multiply such events together.
In the above question, we are given two events.
Event 1
3 varieties of cheese: Cheddar, Gouda, and Swiss.
Event 2
2 styles of cheese: Shredded and Sliced
The possible outcomes for the variety and style of cheese = Event 1 × Event 2
= 3 × 2
6 possible outcomes.
These 6 Possible outcomes are listed below:
1) Cheddar cheese , Shredded
2) Cheddar cheese , Sliced
3) Gouda cheese , Shredded
4) Gouda cheese , Sliced
5) Swiss cheese , Shredded
6) Swiss cheese , Sliced
The are of a rectangle is 50m^2 , the length is 100m . Calculate the width
w = 0.5 m
Step-by-step explanation:A = l × w
50m² = 100m × w
w = 50m²/100m
w = 0.5 m
Answer:
The answer is 0.5 m i.e Width = 0.5 m
Step-by-step explanation:
Given,
Area (A) = [tex]50m^{2}[/tex]
length (l) =100 m
width ( b ) = ?
Now,
A = l * b
or, 50 = 100 * b
or, [tex]\frac{50}{100}[/tex]= b
or, b = 0.5 m
consider the following expression
-10x^2 + 5x +3
2x^2 + 4
select the true statements
the numerator has 3 terms
the denominator includes a coefficient of 4
the denominator includes a coefficient of 2
the numerator has 2 terms
the numerator includes a coefficient of 3
Answer:
Statements 1 and 3 are correct
Step-by-step explanation:
a+3ab+67a-2ab-1 and for 5 stars
Answer:
68a+ab−1
Step-by-step explanation:
cancel out
Answer:
Step-by-step explanation:a+67a=68a
3ab+2ab=5ab
so 69a+5ab-1
Lee measured a restaurant and made a scale drawing. The scale he used was
2 millimeters : 1 meter. The restaurant's kitchen is 27 meters long in real life. How long is the kitchen in the drawing?
Answer:1 meter
Step-by-step explanation:
because in drawing it cant be as big as it is in real life
what is the standard deviation for 54, 36, 30, 28, 27
Answer:
11.18
Step-by-step explanation:
Step 1: average : (54+36+30+28+27) / 5 = 35
Step 2: variance:
sum of the squares of (each number - average value) divided by (n-1)
[ (54-35)^2 + (36-35)^2 + (30-35)^2 + (28-35)^2 + (27-35)^2 ] / (5-1) = 125
Step 3: standard deviation = √(variance) = √125 = 5√5 (about 11.18)
Find the equation of the line below.
Answer:
y = 2x
Step-by-step explanation:
The equation of a line is y = mx + b
We can plug in values for x and y,:
x = 1, y = 2
2 = m + b <- equation 1
x = 4 y = 8
8 = 4m + b <- equation 2
We can multiply equation 1 by 4, getting 8 = 4m + 4b.
We can them subtract equation 1 by equation 2, getting 3b = 0.
Therefore, b = 0.
We can use the equation 2 = m + b and find m:
Since b = 0, m = 2.
The equation is then y = 2x.
economic factors in decision making fall under
Answer:
external factors...
Step-by-step explanation:
...
you are installing a support wire for an electrical pole. the pole is 25 feet and the ground connection is 10 feet from the base of the pole. the wire is sold per whole feet. how many feet of support why should you purchase
ans=26.92
use trigonometric ratios
a²= b²+c²
a²=25²+10²
a²=625+100
now take square root on both sides
a
[tex] \sqrt{a { }^{2} } = \sqrt{725} [/tex]
a=26.92
a=27 (2decimal place)
Help a girl out pls! Lmkkk!
is this a expression or inqualities 15x < x + 8
Answer:
Inequality
Step-by-step explanation:
An expression would not have a greater than or less than sign and this has one so it is an inequality
Answer:
inequalities
Step-by-step explanation: it deals with inequalities
What is the solution to the equation 3x – 8 = -2?
O A. -3 1/3
O B. 3 1/3
C. 2
D. -2
Answer:
option (c) 2
Step-by-step explanation:
We have the linear equation :-
→ 3x - 8 = -2
add 8 both sides
→ 3x - 8 + 8 = -2 + 8
→ 3x = 6
→ x = 6 ÷ 3
→ x = 2
Which square root is between 4 and 5?
O 10
O 014
0 24
V32
Answer:
C. 25
Step-by-step explanation:
4*4=16
5*5=25
24 is found in the middle of 16 and 25.
Hope this helps ;) ❤❤❤
what is the degree of -7xyz^2
Answer:
The degree is 4
Let me know if it helped :)
Write the equation of a line with a slope of 4 and a y-intercept of −3.
Answer: y=4x-2
Step-by-step explanation:
Slope-intercept form: y=ax+b, where a is the slope and b is the y-intercept.
Given: slope is 4, and y-intercept is -3
y=ax+b
y=4x+(-3)
y=4x-3
Hope this helps!! :)
Please let me know if you have any question
Growth and decay question
Answer:
Decay
Step-by-step explanation:
Staring at 3000 every y = half of the previous one.
HELP ME PLEASE!!!! :))
need help finding the side length, thank you! please try and show work or you can
Answer: x=16
Step-by-step explanation:
For this problem, we can set a proportion to find the side length of the smaller rectangle.
[tex]\frac{15}{24}=\frac{10}{x}[/tex] [cross multiply]
[tex]15x=240[/tex] [divide both sides by 15]
x=16
As a decimal number
8×1+1× 1/ 10 +6× 1 /100 +7× 1/ 1000 =
Answer:
the answer is 8.167
Step-by-step explanation:
5 divided by 2/5
5 divided by 2/5
Answer:
Hey there!
5 divided by 2/5 is equal to 25/2, or 12.5
Hope this helps :)
Answer:
[tex] \boxed{ \bold{ \huge {\boxed{ \sf{ \frac{25}{2} }}}}}[/tex]
Step-by-step explanation:
[tex] \sf{5 \div \frac{2}{5} }[/tex]
When any number of fraction is divided by a fraction , we multiply the dividend by reciprocal of the divisor.
We can obtain the reciprocal of any fraction by interchanging the position of numerator and denominator.
⇒[tex] \sf{5 \times \frac{5}{2} }[/tex]
To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator.
⇒[tex] \sf{ \frac{5 \times 5}{2} }[/tex]
Multiply the numbers : 5 and 5
⇒[tex] \sf{ \frac{25}{2} }[/tex]
Hope I helped!
Best regards! :D