Answers
Answer:
Solving the expression \frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3} we get [tex]\mathbf{\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}}[/tex]
Step-by-step explanation:
We need to solve the expression:
[tex]\frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3}[/tex]
We know the exponent rule: [tex](a^n)^m = a^{nm}[/tex]
[tex]\frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3}\\\\=\frac{y^2z^{\frac{1}{4}} }{z^{\frac{3}{2}}.x^3y^{\frac{9}{2} }}[/tex]
Now, another exponent rule says that: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]
[tex]=\frac{y^{2-\frac{9}{2}} z^{\frac{1}{4}-\frac{3}{2} } }{x^3}\\=\frac{y^{\frac{4-9}{2}} z^{\frac{1-3*2}{4} } }{x^3}\\=\frac{y^{\frac{-5}{2}}z^{\frac{-5}{4} } }{x^3}[/tex]
We also know that: [tex]a^{-m}=\frac{1}{a^m}[/tex]
=[tex]\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}[/tex]
So, solving the expression \frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3} we get [tex]\mathbf{\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}}[/tex]
Related Questions
20 PTS PLEASE HELP ASAP!
Answers
Answer:
Slope is 1/2
Step-by-step explanation:
Use the slope formula. Say S = the 1st point and T = the 2nd point.
m = 20 - 10 10 1
------------ = ----------- = ---
20 - 0 20 2
The equation for slope is also y = mx + b
m is the slope, b is the y-intercept.
Therefore, if you look at the 1st choice, you can see that 1/2 is in the place of m, meaning that 1/2 is the slope of line ST
I dunno how to do the other way
Ade is baking mini-loaves of bread. How many mini-loaves could he make with 10 cups of flour?
Answers
Answer: 25
Step-by-step explanation:
Since Ade uses 2 cups of flours for 5 mini loaves, it simply means that 1 cup of flour will be used for:
= 5/2 = 2.5 mini loaves
Therefore, the number of mini-loaves that he could make with 10 cups of flour would be:
= 10 × 2.5
= 25 mini loaves
How many integers are there between -12 and 12?
Answers
HELPPPPPPPPPPPP!!! PLEASEEEEEE!! I NEED THIS RIGHT NOWWWW
Answers
Answer:
h = 15.13 cm
Step-by-step explanation:
Lateral Surface Area of a Cone
Given a right circular cone of base radius r and height h, the lateral surface area is given by:
[tex]A=\pi r\sqrt{r^2+h^2}[/tex]
We are given the lateral area of a funnel as A=236.64 square cm and the radius is r=4.75 cm. It's required to find the height of the cone. It can be calculated by solving for h.
Squaring:
[tex]A^2=\pi^2 r^2(r^2+h^2)[/tex]
Dividing by [tex]\pi r^2[/tex]
[tex]\displaystyle \frac{A^2}{\pi^2 r^2}=r^2+h^2[/tex]
Subtracting [tex]r^2[/tex]:
[tex]\displaystyle \frac{A^2}{\pi^2 r^2}-r^2=h^2[/tex]
Taking square root:
[tex]\displaystyle h=\sqrt{ \frac{A^2}{\pi^2 r^2}-r^2}[/tex]
Substituting the values:
[tex]\displaystyle h=\sqrt{ 251.472-22.5625}[/tex]
[tex]\displaystyle h=\sqrt{ 228.909}[/tex]
h = 15.13 cm
Evaluate
f(x) ={5x-1, if x< -2
{x+3, if x is greater than or equal to -2
When x=5
f(5)=?
Answers
Answer:
5f
Step-by-step explanation:
2/5k - 3 1/2. K= 15
EVALUATE
Answers
K=-150\31
Answer:
Solving the expression: [tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex] we get [tex]\mathbf{K=\frac{-150}{31} \ or \ \ K=-4\frac{26}{31} }[/tex]
Step-by-step explanation:
We need to solve the expression: [tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex] and find value of k
Solving:
[tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex]
Convert mixed fraction into improper fraction
[tex]\frac{2}{5}K-\frac{7}{2}K =15[/tex]
Taking LCM of 5 and 2 we get 10
[tex]\frac{2*2K-7*5K}{10} =15\\\frac{4K-35K}{10} =15\\\frac{-31K}{10} =15[/tex]
Divide both sides by -31/10
[tex]\frac{-31K}{10}*\frac{-10}{31}=15* \frac{-10}{31}\\K=\frac{-150}{31} \\K=-4\frac{26}{31}[/tex]
So, solving the expression: [tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex] we get [tex]\mathbf{K=\frac{-150}{31} \ or \ \ K=-4\frac{26}{31} }[/tex]
HELPPPP PLEASEEE!!!
Answers
A normal population has a mean m=33 and standard deviation s = 9. What is the probability that a randomly chosen value will be greater than 44?
Answers
How many degrees warmer is a temperature of 13°F than a temperature of -19°F?
-6°F
-32°F
6°F
32°F
Answers
Answer:
32°F
Step-by-step explanation:
Find the radius of the circle which has the same area
as the combined area of a circle of radius 12 cm and a
circle of radius 5 cm.
Answers
Answer:
13 cm
Step-by-step explanation:
We can get the answer in the following way:
Which two operations are needed to write the expression that represents "five less than the quotient of a number anc
three"?
multiplication and subtraction
division and subtraction
multiplication and addition
division and addition
Answers
Answer:
Division and subtraction/B
have a good day/night :)
The perimeter of a square is equal to the perimeter of an equilateral triangle. The length of a side of the square is given by x, and the length of a side of the equilateral triangle is given by x + 1. Which equation can be used to find the value of x?
x = 3 (x + 1)
3 x = 4 (x + 1)
4 x = 3 (x + 1)
x = x + 1
Answers
4x=equilateral triangle perimeter
4x=3.1
x=3/4
Answer:
4x=3(x+1)
Step-by-step explanation:
Jasmine spent $98.80 on shirts. Fancy shirts cost $22.20 and plain shirts
cost $13.60. If she bought a total of 6 then how many of each kind did she
buy?
Answers
Write an equation of a line parallel to this line:
y - 1 = -3(x + 4)
Answers
Answer:
Step-by-step explanation:
y-1 =-3x-12
Equation of a line is y=mx+c
y=-3x-12 +1
y= -3x -11
parallel lines men you can use the same gradient so e,g y=-3x+12
hi i need help for this question, what's the slope for this
Answers
Answer:
sorry for being late :P
Step-by-step explanation:
slope = rise / run
by inspection of the graph.. it looks like the line goes over 2 units and then up one unit so 1/2.... and b/c it's going up... like up hill.. it's positive...
+ 1/2 is the slope
100 and brainliest if you tell me ur favorite anime :]
Answers
Answer:
my fav anime is naruto :)
Step-by-step explanation:
Answer:
naruto and MHA
Step-by-step explanation:
4.
Given sin 0 = { and angle 0 is in Quadrant II, what is the exact value of cos 0 in
simplest form? Simplify all radicals if needed.
Answers
Answer:
Sin0= y/r
X= -4 and r= 9 (radius is also the hypotenuse)
In quadrant II y is positive
X^2 +y^2 = r^2
-4^2 + y^2 = 9^2
16 + y^2 = 81
Y^2 = 81-16
Y^2 = 65
Y= sqrt65
Sin0= sqrt65/9
Step-by-step explanation:
What is the difference of the fractions? 7/8 - 5/8
Answers
Answer:
7/8 - 5/8 = 2/8. 2/8 simplified is 1/4
Step-by-step explanation:
P.S Can I have brainliest?
Quick question um doing this assignment what numbers are divisible by 4 and 6 ?
Answers
36,360,24,240,12,120, I think there might be more but this is all I could think of rn sorry
Find the length of side x in the simplest radical form with a rational denominator.
Answers
The answer is 60 or 15 because you need to have 150 for a triangle
Nate walks 3/5 mile in 1/2 hour. How fast did he walk, in miles per hours
Answers
Answer:
1 1/5 miles per hour
Step-by-step explanation:
multiply 3/5 and 1/2 and then you would get your answer
Speed = distance/ time
speed = 3/5 ÷ 1/2
speed = 3/5*2
speed = 6/5mph or 1.2 mph
please mark as brainlist
On Thursday, a website received x advertisement orders. On Friday, the website received 8 more advertisement orders than on Thursday. The expression 2x + 8 represents the total number of advertisement orders received over two days.
What does the "+8" mean in the expression 2x + 8?
how many more advertisements were ordered on Friday than Thursday
the number of days
the number of advertisement ordered on Friday
the total number of advertisement on both days
I NEED HELP ASAP PLS
Answers
Answer:
What does the "+8" mean in the expression 2x + 8?
The +8 is the 8 more advertisement orders received on Friday.
It's 8 more than x.
How many more advertisements were ordered on Friday than Thursday
8
The number of days
2
The number of advertisement ordered on Friday
x + 8
The total number of advertisement on both days
2x + 8
Answer:
A
Step-by-step explanation:
I took the test
WILL GIVE BRAINLIEST! NEED HELP! THANK YOU
A line passes through the points (−4,−9) and (−2,−6). What is the equation of the line in Slope-Intercept Form?
y=2/3x+3
y=3/2x+3
y=3/2x−3
y=2/3x−3
Answers
Answer:
y= 3/2x-3
Step-by-step explanation:
m= y2-y1/x2-x1
m= -6-(-9)/-4-(-2)
m= 3/2
y= mx+b
y= 3/2x+b
-9=3/2*-6+b
Plz help will mark brainliest :)
(For both drop down menus)
A. An even
B. An odd
C. Neither an even nor an odd
Answers
Answer:
A.
Step-by-step explanation:
Excluding hydropower, U.S. power plants used renewable energy sources to generate 105 million megawatt
hours of electricity in 2007. By 2012, the amount of electricity generated had increased to 219 million megawatt
hours.
Use the model to predict the number of megawatt hours that will be generated in 2017.
Answers
Answer:
333,000,000
Step-by-step explanation:
What is the slope of the line that contains these points? (12,-4) (13,2) (14,8) (15,14)
Answers
Answer:
6
any more help just ask :)
I really need help I don’t know what todo I will do anything to get the best answer.(if u do 20 I will give 100 points and brain list on next question)!!YOU DONT HAVE TO DO 19 ONLY 17 18 AND 20!!
Answers
Answer:
20.) Some charateristics to look for are "what's its leaf shape?" , "does this plant have spores?" , "does it have no leaves?" and "is it a vascular or non-vascular plant?". By naming its charateristics we can infer that it must be a fungus. This means its root system attaches to other plant roots in order to get nutrients for itself.
18.) If we observe the charateristics of the moss we might get an answer. Moss needs water in order to survive since it is the source of nutrients for the moss. The reason why the moss turned green after the rainstorm was because it got the nutrients it needed so it caused the moss to flourish again.
17.) We can use models to compare and contrast plant and fungus cells. By using evidence we can include that both the plant and fungus cells have some common characteristics, however plants are autotrophic, making their own energy, and have cell walls made of cellulose, but fungi are heterotrophic taking in food for energy and have cell walls made of chitin.
Step-by-step explanation:
Two friends are going to the mall to buy pizza. One of the friends buys 1cheese slice and 2 pepperoni slices for $8.75. Her friend purchases 2 chese slices and 3 pepperoni slices for $15.00. Find the cost of each.
Answers
Answer:
The cost of each:
1 cheese slice = c = $3.75
1 pepperoni slice = p = $2.5
Step-by-step explanation:
Let the cost:
1 cheese slice = c
1 pepperoni slice = p
Two friends are going to the mall to buy pizza.
One of the friends buys 1cheese slice and 2 pepperoni slices for $8.75.
c + 2p = $8.75.....Equation 1
c = $8.75 - 2p
Her friend purchases 2 chese slices and 3 pepperoni slices for $15.00.
2c + 3p = $15.00.....Equation 2
We substitute 8.75 - 2p for c in Equation 2
2(8.75 - 2p) + 3p = $15.00
17.5 - 4p + 3p = 15
Collect like terms
- 4p + 3p = 15 - 17.5
-p = -2.5
p = $2.5
c = $8.75 - 2p
c = $8.75 - 2(2.5)
c = $8.75 - 5.0
c = $3.75
The cost of each:
1 cheese slice = c = $3.75
1 pepperoni slice = p = $2.5
Pepay had 0.37 inches of yarn, Riza had 0.45 inch of yarn too. Their friend Lala asked to borrow 0.25 inch of yarn that they have. What is the length of the remaining yarn?
Answers
Answer:
0.57 inches was left
Step-by-step explanation:
Here, we start by calculating the total length of the yam they have
Mathematically, that will be 0.37 + 0.45 = 0.82 inch
Now, to get what is remaining, we subtract what was borrowed
Mathematically, that is 0.82-0.25 = 0.57 inches
what does a decimal look like
Answers
Answer:
It could look like 3.2, 0.9, 22.64 it is a number that has a decimal point in it somewhere
Step-by-step explanation: