Answers
Answer: 9/4a^2|b^3|c^4
Step-by-step explanation:
81/16
Square root(81) = 9
Square root(16) = 4
9/4
Since 4 is the index of the radical, all of the exponents divide by 4
(index 4)a^8 = a^2
(index 4)b^12 = b^3
(index 4)c^16 = c^4
Now put the variables together to get the answer:
9/4a^2|b^3|c^4
Related Questions
find the number of regular tiles each of 8 cm by 6 cm that need to be fitted into a rectangular floor of 3.6 m by 2.4 m
Answers
Answer: 18 tiles
Step-by-step explanation:
Area of the floor = l x w = 3.6 * 2.4 = 8.64 sq. m.
Area of one tile = l x w = 8 * 6 = 48 cm = 0.48 m
No. Of tiles that can fit the floor =
8.64 / 0.48 = 18
An Airbus has 1 first class section, 1 business-class section and 4 economy-class sections. The first class section has 14 seats. 5/7 are being used. The business-class section has 64 seats. 5/16 are being used. Each economy-class section has 108. 5/9 in each section are being usd. Are more than half seats on the plane being used? Yes Or No Show your working.
HELP!!!!!!!
Answers
Answer:
first class section has 14 Seats
Seat used = (5/7) * 14 = 10 Seats
Business class Section has 64 Seats
Seats used = (5/16) * 64 = 20 Seats
Economy class Section has 4 * 108 = 432 Seats
Seats used = (5/9) * 432 = 240 Seats
Total Seats = 14 + 64 + 432 = 510
Total Seats Used = 10 + 20 + 240 = 270
270/510 = 270 ( 2 * 255) > 1/2
Yes , more than half of the seats being used
Step-by-step explanation:
What is the length of AC? And Length of AB?
Answers
Answer:
The length of AC is 5 units. The length of AB is 3 units.
Step-by-step explanation:
The function in the table below shows the relationship between the total number of houses built in an area and the number of months that passed. A two column table with five rows. The first column, Months Passed, has the entries, 0, 3, 4, 8. The second column, Total Houses Built, has the entries 0, 33, 46, 108. Which best describes the data set? It is nonlinear because the “Total Houses Built” column does not increase at a constant additive rate. It is nonlinear because the “Months Passed” column does not increase at a constant additive rate. It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change. It is linear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” shows a constant rate of change.
Answers
Answer: C. I hope this helps ❤️.
Answer:
the correct answer is c
Step-by-step explanation:
What is the slope of the ramp shown in the diagram below?
Answers
Answer:
Step-by-step explanation:
slope = [tex]\frac{vertical}{horizontal}[/tex] = - [tex]\frac{3}{10}[/tex] → A
The slope is negative as the ramp slopes down from left to right
The slope of the ramp shown in the diagram given is 3/10.So option D is the correct answer.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given is a diagram of a ramp.
It can be picturized as a right angled triangle.
We know that,
Slope = Change in y coordinates / change in x coordinates.
Horizontal distance = change in x coordinates = 10
Vertical distance = change in y coordinates = 3
Substituting,
Slope = 3/10
Hence the slope of the ramp is 3/10.
Learn more about Slope here :
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Which is the first step in simplifying the expression 2(x + 3) + 5?
Answers
Answer:
Step-by-step explanation:
Feel pleasure to help you.
Which function below represents exponential decay? ƒ( x) = 2(1.3) x ƒ( x) = 0.5(2) x ƒ( x) = (-3) x ƒ( x) = 4(0.25) x
Answers
Answer:
f(x) = 4 (0.25)ˣ
Step-by-step explanation:
If the growth factor is between 0 and 1, the function is exponential decay.
If the growth factor is greater than 1, the function is exponential growth.
Ryan rides his bicycle 5 miles in 34 hour. How many miles can he ride at the same rate in 1 hour? I need the answer as a fraction.
Answers
Answer:
He can ride his bike 5/34 of a mile per hour.
Step-by-step explanation:
If Ryan can ride the bike 5 miles per 34 hours, then all you have to do is divide the hours and the miles by 34. This way, you would be left with only one hour and 5/34 of a mile.
Use set notation to denote the elements, subsets, and complements of the following given sets.
N is the set of odd natural numbers greater than 11 and less than 21. Use set notation to write the elements of N.
N = {13, 15, 17, 19)
N = {12, 14, 16, 18, 20}
N- {11, 12, 14, 16, 18, 20, 21)
N = {11, 13, 15, 17, 19, 21}
Answers
Answer:
N = {13, 15, 17, 19} is the correct answer.
Step-by-step explanation:
We are given with the following details:
N is the set of odd natural numbers.
N contains the elements which are greater than 11 and less than 21.
To write: The set notation for the elements of set N.
Solution:
First of all, let us see what are odd natural numbers.
Natural numbers are the positive integers i.e. {1,2,3,4, ........ }
Odd Natural numbers are the natural numbers which leave remainder as 1 when divided by 2 i.e. {1,3,5,7,9,11,13, ...... 21, 23, 25, 27.....}
Here, set N is odd natural numbers greater than 11 (so 11 will not be included) and less than 21 (so 21 will not be included). Odd natural numbers between 11 and 21 will be included.
So the answer will be N = {13,15,17,19}.
Find the vertical asymptotes.
Simplify fractions and leave in improper form.
3x2 + 17x + 10
y =
6x2 - 11x + 4
X =
Ž, x =
4
[?]
Answers
Answer:
x1 = 4/3, x2 = 1/2
Value to fill in the question mark: 3
Step-by-step explanation:
The vertical asymptotes occurs when the denominator of y are 0, so the value of y goes to infinity.
So, to find the asymptotes, we need to calculate:
[tex]6x^{2} - 11x + 4 = 0[/tex]
Using Bhaskara's formula. we have:
[tex]\Delta = (-11)^2 - 4*6*4 = 25[/tex]
[tex]\sqrt{\Delta} = 5[/tex]
[tex]x_1 = (11 + 5)/12 = 4/3[/tex]
[tex]x_2 = (11 - 5)/12 = 1/2[/tex]
So the value we need to fill in the question mark is 3
Can someone please help me I’m stuck I don’t know what to do
Answers
Answer: its the 2nd one
Step-by-step explanation:
a car is drawn with a scale of 1 in: 4 yards. find the actual length of the car if the drawing if the car has a length= 3in
Answers
Answer:
So since you have the ratio of 1 : 4
we need to find 3 : x
since 1*3 = 3. We multiply all by 3
4*3 =12.
Answer is 12
Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located two thirds the distance from point P to point R. 4.9 4.7 2.5 2.3
Answers
Answer:
5.1
Step-by-step explanation:
Before we calculate the y value for the point Q that is located two thirds the distance from point P to point R, we need to get the distance of point p from point R using the formula for calculatingf the distance between two points
D = √(x2-x1)²+(y2-y1)²
Given P(−2, 7), and R(1, 0)
RP = √(1-(-2))²+(0-7)²
RP = √3²+(-7)²
RP = √9+49
RP =√58
To get the y value for point Q that is located two thirds the distance from point P to point R, this will give
PQ = y = 2/3 of √58
= 5.1
Answer: I Believe its 2.3
Step-by-step explanation:
P is located at (-2,7)
R is located at (1,0)
Look at the y coordinates
P(-2,7) R(1,0)
7 to 0= distance of 7
multiply 2/3 by 7 = 4.7 (it was originally 4.666666665 but i couldnt find the answer with just 4.6 so i rounded it to 4.7)
Now plug in the info we know:
.y axis = 7 - 4.7 = 2.3
Hope this helped! Im taking the test and ill be back if this is wrong
Classify the following triangle. Check all that apply.
Answers
This is the graph of f(x). Wha is the value of f(2)
Answers
Answer: 2
Step-by-step explanation:
They are saying that x equals 2, and the question is what the function is defined at when x = 2
Going to x = 2, the y value is just 2
The answer is 4.
f(2)=4
For each sequence, find the first 4 terms of a sequence:
a) n²+3
b) 2n²
Answers
Answer:
a) 4, 7, 12, 19
b) 2, 8, 18, 32
Step-by-step explanation:
Sequence is just number line sir, so to begin with you get n=1, then n=2, then n=3, then n=4, these are the first 4 terms
Answer:
a) 4, 7, 12, 19
b) 2, 8, 18, 32
Step-by-step explanation:
In order to find the first 4 terms, you have to substitute 1 to 4 into n for both expressions :
[tex]a) {n}^{2} + 3[/tex]
[tex]1st \: term \\ {1}^{2} + 3 = 4[/tex]
[tex]2nd \: term \\ {2}^{2} + 3 = 7[/tex]
[tex]3rd \: term \\ {3}^{2} + 3 = 12[/tex]
[tex]4th \: term \\ {4}^{2} + 3 = 19[/tex]
[tex]b)2 {n}^{2} [/tex]
[tex]1st \: term \\ 2( {1}^{2} ) = 2[/tex]
[tex]2nd \: term \\ 2( {2}^{2} ) = 2(4) = 8[/tex]
[tex]3rd \: term \\ 2( {3}^{2} ) = 2(9) = 18[/tex]
[tex]4th \: term \\ 2( {4}^{2} ) = 2(16) = 32[/tex]
What is the simplified expression for the expression below? 4(3x – 2) + 6x(2 – 1)
Answers
Step-by-step explanation:
4(3x-2) + 6x(2-1)
10x + 11x
21x
Answer:
18x - 8
Step-by-step explanation:
A large cooler contains 15 liters of iced tea and A small cooler contains 5 liters of iced tea how many more milliliters of iced tea does the large cooler contain than the small cooler?
Answers
Answer:
10000 ml
Step-by-step explanation:
1 liter =1000 ml
15 -5 = 10
10 * 1000= 10000
A rectangle is 6 inches longer than it is wide. Write and simplify an expression for
the perimeter of the rectangle in terms of the width w.
Answers
Answer:
L+6=W
Step-by-step explanation:
Answer:
4w + 12
Step-by-step explanation:
w + (w+6) + w + (w+6) = 4w + 12
for perimeter you add all the sided together
w = width
w + 6= length
PLEASE HELP WILL MARK BRAINLIEST
What is the location of A on the decimal number line below?
Write your answer as a decimal.
Answers
Answer:
2.6
Step-by-step explanation:
A is after the 6th of 10 spaces between 2 and 3. It has the value 2 +6/10 = 2.6.
help me for brainetest pls answer on paper on a number line
Answers
Answer:
10 5/8
Step-by-step explanation:
Help please :/.
What is the surface area of a cube where the length of each edge is 4 feet?
A) 12 sq ft
B) 24 sq ft
C) 64 sq ft
D) 96 sq ft
Answers
Answer:
the answer is 96 square feet
you could use
4×4=16
then times how many rectangle you have which is 6
I need to know this problem cause I need to finish summer school
Answers
Answer:
27
Step-by-step explanation:
#3 is 1/3^3, and #4 is 1/x. The x is obviously 3^3 simplified, which is 27.
I see that you are in high school. Im in 7th grade and i can do this lol.
What point is located 4 points from point M?
A. Point A
B. Point B
C. Point C
D. x-axis
E. y-axis
Answers
If the regular recipe that makes 14 pancakes calls for 1 cup of milk, how many cups should I use to make 21 pancakes? Group of answer choices 1 cup 2 cups 0.5 cups 1.5 cups
Answers
Answer:
x = 1 1/2 cups
1.5 cups
Step-by-step explanation:
We can use ratios to solve
14 pancakes 21 pancakes
------------------ = ------------
1 cup x cups
Using cross products
14x = 21*1
Divide each side by 14
14x/14 = 21/14
x = 3/2
x = 1 1/2 cups
In an election of housing society,there are 30 voters.Each of them gives the vote.Three persons X,Y and Z are standing for post secretary.If Mr.X got 2/5 of the total votes and Me.Z got 1/4 of the total votes then how much did Mr.Y get?
Answers
Answer:
Mr Y got 10 votes
Step-by-step explanation:
The election of the housing society has 30 voters. Each of them gives the vote. The three person vying for the post of secretary are X, Y and Z.
Le us calculate the votes of each contestant
Mr X
He got 2/5 of the total votes
number of votes = 2/5 × 30
number of votes = 60/5
number of votes = 12
Mr Z
He got 1/4 of the total votes
number of votes = 1/4 × 30
number of votes = 30/4
number of votes = 1/4 × 30
number of votes = 7.5 ≈ 8 votes
Mr Y
The remaining votes will be 30 - 12 - 8 = 10 votes
Therefore,
Mr Y got 10 votes
A sample of gold has a volume of 3 cm3 and a mass of 40.7 grams. What is the density of this sample?
Answers
Answer:
Density = 13.57 g/cm³
Step-by-step explanation:
▪Volume = 3 cm³
▪Mass = 40.7 grams.
▪Density (p) = Mass (m) ÷ Volume (v)
p = m ÷ v
p = 40.7 ÷ 3
p = 13.56666
p = 13.57 g/cm³
Given the equation below what is the value of y-x?
3x+4=-5y+8
9x+11y=-8
Answers
Answer:
[tex]-5[/tex]
Step-by-step explanation:
[tex]3x+4=-5y+8\\9x+11y=-8[/tex]
Rearrange the first equation and substitute it into the second equation.
[tex]3x=-5y+8-4\\3x=-5y-4[/tex]
(as we want 9x instead of 3x we are going to multiply this equation by 3)
[tex]9x=-15y-12\\-15y-12+11y=-8\\-4y=4\\y=-1[/tex]
Rearrange the first equation and substitute in our y value to solve for x.
[tex]3x+4=-5(-1)+8\\3x=5+8-4\\3x=9\\x=3[/tex]
Hence
[tex]y-x=-1-4=-5[/tex]
Find the measure of the arc.
146°E
mFD =
Answers
Answer:
124
Step-by-step explanation:
A circle is a curve sketched out by a point moving in a plane. The measure of the arc mFD is 124°.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
As we know that the angle made at the center of the circle is 360°. And it is mentioned that the measure of mFE is 146°, while mED is 90°. Therefore, the sum of all angles can be written as,
[tex]\angle FOE + \angle EOD + \angle FOD = 360^o\\\\146^o + 90^o + \angle FOD = 360^o\\\\236^o +\angle FOD =360^o\\\\\angle FOD = 124^o[/tex]
Thus, the measure of the arc mFD is 124°.
Learn more about Circle:
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How do I solve this problem??
Answers
Answer:
3/10 m^2
Step-by-step explanation:
To calculate area of a triangle we multiply height with base and then divide that by 2
2/5 × 3/2 ÷ 2 = 3/10