Answers
Answer:
[tex]\frac{3x^6}{6x^{-1}}= \frac{1}{2}x^7[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x^6}{6x^{-1}}[/tex]
Required
Solve
In laws of indices, we have:
[tex]\frac{x^m}{x^n} = x^{m-n}[/tex]
So, the expression becomes:
[tex]\frac{3x^{6 - (-1)}}{6}[/tex]
[tex]\frac{3x^{6 +1}}{6}[/tex]
[tex]\frac{3x^7}{6}[/tex]
Divide 3 and 6 by 3
[tex]\frac{1x^7}{2}[/tex]
[tex]\frac{x^7}{2}[/tex]
This can be rewritten as:
[tex]\frac{1}{2}x^7[/tex]
Hence:
[tex]\frac{3x^6}{6x^{-1}}= \frac{1}{2}x^7[/tex]
Related Questions
Determine whether the variable is qualitative or quantitative. Explain your reasoning. The price of a new computer.
Answers
Answer:
The price of a new computer is quantitative.
Step-by-step explanation:
A variable can be classified as qualitative or quantitative.
Qualitative:
When the possible values of the variables are labels, for example, good or bad, yes or no,...
Quantitative:
When the possible values of the variables are numbers, for example 1, 2, 1000,....
In this question:
The price of a computer is a numeric value, so it is a quantitative variable.
"The price of a new computer" is a quantitative variable, because it can be measured and the values are numerical.
What are Qualitative and Quantitative Variables?Quantitative variables are variables whose values are numerical or measured. Example of a quantitative variable is number of students in a given class.Qualitative variables do not have numerical value or are not measurement variables. An example of a qualitative variable is eye color.Therefore, "the price of a new computer" is a quantitative variable, because it can be measured and the values are numerical.
Learn more about quantitative and qualitative variables on:
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arthur is organising his collection of dvds. he has 70 altogether. comedy films to action to horror is 2:7:1 how much does he have of each
Answers
Answer:
the comedy films, action and horror is 14, 49 and 7 respectively
Step-by-step explanation:
The computation of each one dvds is as follows;
Total dvds is 70
Now the ratio of comedy films to action to horror is 2:7:1
So the total of 10
Now the each one dvds is
For comedy flms
= 70 × 2 ÷ 10
= 14
For actions
= 70 × 7 ÷ 10
= 49
For horror
= 70 × 1 ÷ 10
= 7
Hence the comedy films, action and horror is 14, 49 and 7 respectively
What is the approximate volume of the cone?
Answers
Answer:
157 cm³
Step-by-step explanation:
Given
Radius (r) = 5 cm
height (h) = 6 cm
Volume of the cone (V) = ?
We have the formula
V = 1/3 *π*r²*h
V = 1/ 3 * 3.14 * 5² * 6
V = 157 cm³
Hope it will help :)
PLZ HELP GIVING 5 STARS
TO PEOPLE WHO GIVE ANSWER
Answers
Answer:
woah ill look at it and come back when i find the answer
Step-by-step explanation:
−1/5(x−4)=−2 Please help me fast
Answers
Answer:
x=14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−1/5(x−4)=−2
(−1/5)(x)+(−1/5)(−4)=−2(Distribute)
−1/5x+4/5=−2
Step 2: Subtract 4/5 from both sides.
−1/5x+4/5−4/5=−2−4/5
−1/5x=−14/5
Step 3: Multiply both sides by 5/(-1).
(5/−1)*(−1/5x)=(5/−1)*(−14/5)
Did you hear about the two punsters who told a lot of jokes
Answers
Answer:
NO
Step-by-step explanation:
no, what about them?
A study states that 34% of people prefer their eggs crambled. you randomly select 7 people who had egs for breakfast. what is the standard deviation for this distributions
Answers
Answer:
Mean of the binomial distribution μ = 2.38
Standard deviation of the binomial distribution σ = 1.2533
Step-by-step explanation:
Explanation:-
Given Population proportion
p = 34 % = 0.34
q = 1- p
= 1 -0.34
= 0.66
q = 0.66
Mean of the binomial distribution
μ = n p = 2.38
Standard deviation of the binomial distribution
σ = √n p q = 1.2533
The population of a town is growing uninhibited at a rate of 1% per year. How long would it take the population to double? Round to the nearest tenth.
a. 30.1 years
b. 69.3 years
c. 54.6 years
d. 10.2 years
Answers
Answer:
69.3 years
Step-by-step explanation:
use the equation 2=e^0.01t, then solve for t.
The required time at which the population of the town gets doubled is 69.3 years.
Given that,
The population of a town is growing uninhibited at a rate of 1% per year. how long would it take the population to double is to be determined.
The function which is in format f(x) =aˣ where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Here,
For exponential growth,
the equation is given as,
a = A (1 + 0.01)ˣ
For a = 2A, time x is to be determined,
2A = A (1.01)ˣ
1.01ˣ = 2
x = log2/log1.01
x = 69.3 years
Thus, the required time at which the population of the town gets doubled is 69.3 years.
Learn more about exponential function here:
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Use multiplication to find 4% of 2,475.
4% of 2,475 is ______
Answers
Answer:
Step-by-step explanation:
4 percent *2475 = 99
sorry cant do the multiplcation on here
Answer:
99
Step-by-step explanation:
PLEASE HELP ASAP THIS IS DUE SOON
Answers
Answer:
I think it's b.
Step-by-step explanation:
!(*´∇`)ﾉ
Genes S and T are not linked. If there is a 50% probability that allele S is in a gamete and there is a 50% probability that allele T is in a gamete, what is the probability that both are in the same gamete
Answers
Answer:
The probability that both are in the same gamete is 0.25
Step-by-step explanation:
Given
[tex]P(S) = 50\%[/tex]
[tex]P(T) = 50\%[/tex]
Required
Determine the probability that both are in same gamete
The required probability means: P(S and T)
This is then calculated as:
[tex]P(S\ and\ T) = P(S) * P(T)[/tex]
Substitute values for P(S) and P(T)
[tex]P(S\ and\ T) =50\% * 50\%[/tex]
Convert to decimal
[tex]P(S\ and\ T) =0.50* 0.50[/tex]
[tex]P(S\ and\ T) =0.25[/tex]
Help me graph this
Y=x-5
2x+y=4
Answers
Answer:
Y=x-5
2x+y=4
Step-by-step explanation:
Answer:
Plot these points:
For the line y = x - 5:
(0, -5)
(1, -4)
For the line 2x + y = 4:
(0, 4)
(1, 2)
Solve the system of equations
solved this system.
5x + y = 10
2x + 3y = -9
Complete the explanation on how you
The answer to the system of equations is (
and solved for yv.Then I substituted
I substituted -5x + 10 for xv Into 2x + 3y = -9
for x in one of the equations and solved fory.
Answers
Answer:
lemmeee see i donr know hehehehe
Applying Angle Relationships.
Please help me quick
Answers
Answer:
Step-by-step explanation:
1) a) 15x = 12x + 15 {Alternate interior angles}
b) 15x - 12x = 15 {Subtract 12x from both sides}
3x = 15
x = 15/3
x = 5
c) Alternate interior angles
2) a) 3x + 10 + 3x - 28 = 180 {co- interior angles are supplementary}
b) 6x - 18 = 180 { Combine like terms}
6x = 180 + 18
6x = 198
x = 198/6
x = 33
c) co- interior angles are supplementary
3) a) 7x + 9 + 5x +3 = 180
b) 12x + 12 = 180
12x = 180 - 12
12x = 168
x = 168/12
x = 14
c) linear pair
4) a) 12x - 18 = 8x + 10
b) 12x - 8x - 18 = 10
4x - 18 = 10
4x = 10 +18
4x = 28
x = 28/4
x = 7
c) Vertically opposite angles are equal.
Jim had 360 stamps. He sold 1/3 of them on Monday and 1/4 of the remainder on Tuesday. How many stamps did he sell on Tuesday
Answers
4x2 + 5x + 3(x + y) + 2y - 2x2 for x=2 and y=4
Answers
= 40
Just plug in the values and add/ multiply
Solve the system of linear equations by elimination. x+4y=6 −x−2y=−4
Answers
Answer:
(x , y) = (2 , 1)
Step-by-step explanation:
// Solve equation [1] for the variable x
[1] x = -4y + 6
// Plug this in for variable x in equation [2]
[2] -(-4y+6) - 2y = -4
[2] 2y = 2
// Solve equation [2] for the variable y
[2] 2y = 2
[2] y = 1
// By now we know this much :
x = -4y+6
y = 1
// Use the y value to solve for x
x = -4(1)+6 = 2
URGENT WILL GIVE BRAINLIEST
Answers
Answer:
x = -3
Step-by-step explanation:
This is a vertical parabola with vertex at (-3,-1).
Axis of symmetry: x = -3
tanner had $32.80 and spent 15% of his money on a book including tax. If he paid with a $5 bill, how much change did tanner get back?
Answers
Answer:
$0.08
Step-by-step explanation:
Find the cost of the book, by finding 15% of 32.80
32.80(0.15)
= 4.92
To find how much change he got back, subtract this from 5:
5 - 4.92
= 0.08
So, he got $0.08 back in change
Answer:
actually he got 23 cents back
Step-by-step explanation:
It's in the picture. I'll give BRAINLIEST
Answers
X is greater than or equal to -1
It is like that’s because X is continually going right to a higher number
help help help!!!!!!
Answers
Answer:
50 please mark brainliest
Step-by-step explanation:
FH is half of CG
WILL MARK BRAINLYIST
Answers
Answer:a
Step-by-step explanation: f ad r are at the same angle
Suppose you buy a $50 coffee maker in an area where the sales tax is 8%. When you check out, 8% of $50 would be added to your total price. How much would you pay total? please help me with this question since this is due tommorow and I will get a 0% if it's not on time
Answers
Answer:
you will have to pay a total of 54$
Step-by-step explanation:
50$ : 100% = x : 108% (+8% for the tax 100+8+108)
100x = 108 x 50
100x = 5400
5400 ÷ 100 = 54
Total 54 $
The total money paid to buy a coffee maker is $54.
Given that, the cost of a coffee maker=$50 and the sales tax=8%.
We need to find the total cost of a coffee maker.
What is a sales tax?A sales tax is a tax paid to a governing body for the sales of certain goods and services. Usually, laws allow the seller to collect funds for the tax from the consumer at the point of purchase.
Sales tax is an amount of money, calculated as a percentage, that is added to the cost of a product or service when purchased by a consumer at retail.
Now, the total money paid=50+8% of 508% of 50 can be calculated as 0.08×50=4
So, 50+4=$54
Therefore, the total money paid to buy a coffee maker is $54.
To learn more about the sales tax visit:
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At home I have 15 cans of tomato soup that are organized into 3 drawers. Which of the following is an equivalent ratio of
soup to drawers?
Answers
Answer:
5:1
Step-by-step explanation:
5 being cans of tomato soup.
1 being a drawer.
Who ever gets this one I’ll mark them
Answers
Answer:
G
Step-by-step explanation:
Your welcome my guy B)
Answer:
G
Step-by-step explanation:
8/10 = 0.8
0.8 to a fraction is 4/5
simplify 3{(5 - 2) 3+4}
Answers
Answer:
8
Step-by-step explanation:
;p
A fruit production company has three packaging facilities, each of which uses different-sized boxes as follows: 36 pieces per box, 28 pieces per box, and 20 pieces per box. Step 2 of 2 : Assuming each facility will receive the same amount of fruit, how many boxes will each facility package
Answers
Answer:
[tex]\frac{F}{36}, \frac{F}{28} ,\frac{F}{20}[/tex] respectively
Step-by-step explanation:
From the question we are told that
Facility A =36 pieces/box
Facility B =28 pieces/box
Facility C =20 pieces/box
Let the Fruit received be F
Generally the Facility A's number of boxes is mathematically given by
[tex]36 pieces=1 box[/tex]
Total Pieces=F
Therefore
Facility A's total amount of box = F/36
Generally the Facility B's number of boxes is mathematically given by
[tex]28pieces=1box[/tex]
Therefore
Facility B's total amount of box = F/28
Generally the Facility C's number of boxes is mathematically given by
[tex]20pieces=1box[/tex]
Therefore
Facility C's total amount of box = F/20
Therefore
Each Facility will make us of [tex]\frac{F}{36}, \frac{F}{28} ,\frac{F}{20}[/tex] respectively in packing there allocated Fruit.
Using the Pythagorean theorem what is the value of s?
Answers
Answer: 17
Step-by-step explanation: 15 squared plus 8 squared equals the square root of 289 which is equal to 17 because 17 squared is... 289
Answer:
17
Step-by-step explanation:
We do a^2+b^2=c^2,
8^2+15^2=c^2
64+225=289
Square root of 289 = 17
c=17
You should search up Pythagorean triplets, they're basically common side lengths used for right triangles and 8,15,17 is one triplet.
Let me know if you have any questions
20 POINTS!!
M is directly proportional to r squared when r=2, m=14
Workout the value of r when M =224
Answers
Answer:
r = 8
Step-by-step explanation:
Given that M is directly proportional to r² then the equation relating them is
M = kr² ← k is the constant of proportionality
To find k use the condition when r = 2 , M = 14
k = [tex]\frac{m}{r^{2} }[/tex] =[tex]\frac{14}{4}[/tex] = [tex]\frac{7}{2}[/tex]
M = r² ← equation of proportion
When M = 224, then
224 =[tex]\frac{7}{2}[/tex]r² ← multiply both sides by 2
7r² = 448 ( divide both sides by 7 )
r² = 64 ( take the square root of both sides )
r = [tex]\sqrt{64}[/tex] = 8
have wonderful day
Write this number in standard form.
Nine hundred fifty-three thousand nine hundred two
Answers
Answer:
953,902
Step-by-step explanation: