(1/4)^3 evaluate simplify
Answers
Answer:
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
This is an Exponent. It is when a number is being multiplied as many times as the Exponent on top.
[tex]\left(\frac{1}{4}\right)^3[/tex] The ³ is the exponent,
[tex]\frac{1}{4} \times\frac{1}{4} \times\frac{1}{4}[/tex] is the expansion, and
Multiply on top: 1 × 1 × 1 = 1
Multiply the bottom: 4 × 4 = 16. 16 × 4 = 64
Hence, [tex]\frac{1}{64}[/tex] is the product or simplified form.
Another way:
[tex]\underline{\mathrm{Exponent\:rule\:}}\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]
[tex]\left(\frac{1}{4}\right)^3[/tex]
[tex]=\frac{1^3}{4^3}[/tex]
[tex]1^3=1[/tex]
[tex]=\frac{1}{4^3}[/tex]
[tex]4^3=64[/tex]
[tex]=\frac{1}{64}[/tex]
Related Questions
Last year, a gardening store ordered 8,910 potted plants. This year, they ordered 9,801 potted plants. What is the percent of increase in the number of potted plants ordered annually?
Answers
Answer:
Step-by-step explanation:
100(9801 - 8910)/8910 = 10%
14. A triangle has vertices at A(4,2), B(-4,-2), and
C(2, 4). If the triangle is dilated with respect to the
origin using a scale factor of 172, what will the
coordinates for the new vertices be?
A A' (2.1). B' (-2,-1), and C (1.-2)
B. A (8.4), B (-8,-4). and C (4. - 8)
C. A' (1,2), B (-1,-2), and C (-2. - 1)
D. A (-2,-1), B' (-2,-1), and C° (-1,2)
Answers
Answer:
A
Step-by-step explanation:
Each coordinate of the triangle will have to dilate by 1/2 in order for the triangle to be fully dilated. Let's check each option to see which one has the correctly dilated points.
First, we'll look at A. A(4, 2) goes to A'(2, 1)... which is looking good so far! Half of 4 is 2, and half of 2 is 1, so the right dilation was applied. Next, let's check out B. B(-4, -2) goes to B'(-2, -1), which is still looking okay. Half of -4 is -2, and half of -2 is -1. Finally, we'll check the point C. If this one is correctly dilated, option A is the right option. C(2, -4) goes to C'(1, -2), and we can now be sure that option A is correct. Half of 2 is 1, and half of -4 is -2.
So, option A is the one to select. Hopefully that's helpful! :)
A store is having a clearance sale where all prices are 30% off. The store is located in a county with a 7.5% sales tax. The final price, including sales tax, of any item in the store will be what percent of the original price? Explain your reasoning.
Answers
Ans. 450
Solve.
Add 100and you will get the ans
The penalty box on a soccer field extends
54 ft from the goal line. The line where a
player gets to take a penalty kick is 12 yards
from the goal line. What is the ratio of the
distance from the goal line and where a
player takes a penalty kick?
Answers
Answer:
I dont know sorry
next time
Solve 2/3 (3x+14)=7x+6 by first multiplying both sides of the equation by 3 before applying the distributive property
Answers
[tex]\dfrac23 (3x +14) =7x+6\\\\\\\implies 3\left[\dfrac 23 (3x+14) \right] = 3(7x+6)\\\\\\\implies 2(3x+14) = 21x +18\\\\\implies 6x + 28 =21x +18\\\\\implies 21x -6x = 28-18\\\\\implies 15x = 10\\\\\implies x = \dfrac{10}{15} = \dfrac 23[/tex]
Can someone help me with both questions I will mark u brilliant
Answers
1. First, he will be climbing 10,000 feet from where he is right now. 10,000 / 1,000 = 10.
-3.6 x 10 = 36 degree decrease.
25 - 36 = -11
At 12,000 feet, the temperature will be -11.
2. First, we need to do 8.80 x 7 = 61.6
61.6 / 4 = 15.4
61.6 - 15.4 = 46.2
He has $26.20 left.
Hope this helps!
Each of the 14 students in the art club needs 4 1/4 ounces of paint for a project. The art store sells paint only in 8 ounce bottles. How many bottles of paint does the art club president need to buy for the project?
A - 3
B - 4
C - 7
D - 8
Answers
Answer:
C-7
Step-by-step explanation:
Answer: The art club president need to buy 14 bottles of paint for the project.
Step-by-step explanation: Given that each of the 14 students in the art club needs 4 ounces of paint for a project. The art store sells paint only in 8-ounce bottles.
We are to find the number of bottles of paint that the art club president need to buy for the project.
We will be using the unitary method to solve the given problem.
Number of bottles filled by 8 ounces of paint = 1.
So, the number of bottles filled by 1 ounce of paint is
So, the number of bottles filled by 4 ounces of paint will be
Now, number of bottles of paint needed by 1 student
Therefore, the number of bottles of paint needed by 14 students will be
Thus, the art club president need to buy 14 bottles of paint for the project.
In the art club, there are 2 seventh graders for every 3 eighth graders. At
this year's art fair, there were 7 paintings by seventh graders for every 12
paintings by eighth graders. Is the ratio of seventh graders to eighth
graders in the art club equivalent to the ratio of paintings by seventh
graders to paintings by eighth graders? *
Answers
Answer:
no
Step-by-step explanation:
2/3 does not equal 7/12.
there would need to be 8 paintings by seventh graders for every 12 by eighth graders in order to have an equivalent ratio.
11/2-2/3 help me plz
Answers
4.83
answer above answer above answer above
Your school made it to the playoffs
in football and is selling t-shirts to
Celebrate their success for $10 each. The cost
to make the shirts is 5 each plus a one
time set ur fee of $20.
Answers
Answer:
I dont quite understand the question could you clarify? What are you trying to ask? how many shirts to break even? Im not quite understanding I'd be more than happy to help if you re worded the question!
Step-by-step explanation:
A jet can carry up to 200,000 liters of fuel.it used 130,000 liters of fuel during a flight. What percentage of the fuel capacity did it use on this flight
Answers
=(130000/200000)*100%
=65%
16/48 times 6/8 solve it out for me please
Answers
Answer:
0.25
Step-by-step explanation:
You, can just use a calculator But Np
Good luck
Answer: 1/4
Step-by-step explanation:
16 6 96
_ X _ = _ = simplies down to 1/4
48 8 384
Which is an example of incompatible goals?
A. Your parents want to take family photos, but you already have
plans with friends that day.
B. Your teacher gives you an assignment you did not expect.
C. A friend does not agree with your opinion on a topic.
D. Your uncle enjoys fishing, but you do not believe in killing animals.
Answers
What is the name of the intersection point? Explain.
Answers
Explanation:
The drawings you made are constructions of the perpendicular bisector. The "perpendicular" refers to the fact the second line meets the first line at a right angle (aka 90 degree angle). The "bisector" portion indicates the segment has been bisected, which is mathematical way of saying "cut in half".
The key here is the "bisector" portion. Because we've cut a segment like AB in half, this means segment AC and CB are the same length. The point C is the midpoint of AB. Point C is formed by intersecting the perpendicular bisector and the original segment. I'm referring to drawing (a), but the same idea applies to drawing (b) as well. I recommend using another letter than C for the second drawing.
What’s 12.71 divided 6.2?
Answers
Answer:
2.05
Step-by-step explanation:
12.71/6.2=2.05
The value of the expression 12.71 ÷ 6.2 using the division property will be 2.05.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The numbers are given below.
12.71 and 6.2
Then the division of the decimal numbers 12.71 and 6.2 will be given by putting a divide sign between them. Then we have
⇒ 12.71 ÷ 6.2
⇒ 12.71 / 6.2
⇒ 2.05
The worth of the articulation 12.71 ÷ 6.2 utilizing the division property will be 2.05.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Graph the solution to this inequality on the number line. 1/3x−3<−1 5/6
Answers
Answer:
x < 3 1/2
Step-by-step explanation:
first solve the inequality for x
1/3 x - 3 < -1 5/6
add 3 to both sides
1/3x < 1 1/6
multiply both sides by 3
x < 3 1/2
then just graph x < 3 1/2 on a number line
Answer: Open arrow pointing left on 3.5
Step-by-step explanation: Got correct answer from test review
Chi is planning to put a path of paving stones through her flower garden. The flower garden is a square with sides of 15 feet. How many feet long will the path be? Round your answer to one decimal place.
Answers
[(15×2)+(15×2)]=60=6.0
a store have a 12.7% discount on $2002 furniture. what is the new price
Answers
Answer:
$1,747.75
Step-by-step explanation:
(12.7% = 0.127)
$2,002 x 0.127 = 254.25
$2,002 - 254.25 = $1,747.75
Find the derivative of y=a^x
Answers
If y = aˣ, then y = exp(ln(aˣ)) = exp(x ln(a)). (Here I use exp(x) = eˣ.)
Then using the chain rule, the derivative of y is
dy/dx = exp(x ln(a)) • ln(a)
and undoing the rewriting, we end up with
dy/dx = ln(a) aˣ
A dairy needs 364 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk containing 3% butterfat must be used to obtain the desired 364 gallons?
Answers
Answer:
Step-by-step explanation:
Let x be gallons of 7%
Let y be gallons of 3%
364 = x + y
y = 364 - x
364(0.06) = x(0.07) + y(0.03)
364(6) = x(7) + y(3)
364(6) = 7x + 3y
364(6) = 7x + 3(364 - x)
364(6 - 3) = 7x - 3x
364(3) = 4x
x = 273
y = 364 - 273 = 91
273 gallons of 7%
91 gallons of 3%
Writing a ratlo as a percentage
Manuel has ridden 8 miles of a bike course. The course is 20 miles long. What percentage of the course has Manuel ridden so far?
0
se
%
X 5
?
Answers
40/100 = 40%
answer = 40%
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6600 and his stock in Company B was worth $3500. The stock in Company A has increased 7% since last year and the stock in Company B has increased 1%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary). pls asap
Answers
Answer:
4.9%
Step-by-step explanation:
6600 * 107/100 = 66*107 = 7062.
3500 * 101/100 = 35x101 = 3535
7062+3535=10597. Original worth: 10100
10597-10100 = 497
497/10100 = 0.0492079208, or 4.92%, rounds to 4.9%
Create your own example for each cases of multiplying
polynomials
Case 1: Distributive Property
Case 2: FOIL Method
Case 3: Binomial to Polynomial
Pls needed badly
If you have nothing to answer dont answer
Answers
Step-by-step explanation:
CASE 1:2x(3x+7) = 6x^2+14x.CASE 2:(2x + 3)(3x – 1)CASE 3:x2 + 4xi just really dont get it
Answers
Answer: 22.02
Step-by-step explanation:
Just add them all together.
What is the vertical shift for the absolute value function below f(x) =9 |x+1|+2
Answers
Answer:
Slide UP 2
Step-by-step explanation:
In the equation,
f(x) = 9|x+1| + 2
There are three transformations of the parent function f(x)=|x| (this is the simplest form of this function, it's a v-shaped graph)
The 9 in front will vertically stretch the graph and make it look like a "skinny" v-shaped graph.
The +1 in close to the x inside the absolute value bars |x+1| will shift (slide) the graph to the left (it's the opposite of what you might think-- 'plus' shifts the graph left and 'minus' shifts the graph right)
The +2 at the end is the transformation you're looking for. It slides the graph as you would expect UP 2 units. If it was a minus it would shift the graph down instead.
what is the surface area of a polyhedron with measurements 4cm x 4cm x 7cm?
Answers
Check the picture below.
so let's add all sides and that'd be the area of the rectangular prism.
[tex]\stackrel{\textit{top and bottom}}{2(4\cdot 7)}+\stackrel{\textit{left and right}}{2(4\cdot 4)}+\stackrel{\textit{front and back}}{2(4\cdot 7)}\implies 56+32+56\implies 144[/tex]
Please help, I will give good rating and brainliest of possible!!
Thank you!!!!!!!!
Answers
Answer:
[tex]g(x)=x+8[/tex]
Step-by-step explanation:
Translating a function up is very simple, all you need to do here is add 8.
If you want to think of it logically,
[tex]f(x)=x[/tex]
the whole right side of the function here can be our output. If x is 8, then the output, or height, is also 8. if you wanted to translate that up to 10, you'd simply need to add 2 to it, meaning [tex]x+2[/tex]. Then, at any given point on the function, it'd be 2 higher than it would be otherwise.
This year, a small business had a total revenue of $41,600 . If this is 28% more than their total revenue the previous year, what was their total revenue the previous year?
Answers
Answer:
Hey will you marry me? serious question
NEED HELP JUST SEND ME QUESTIONS
Answers
Determine if the point (2,-1) is a solution of the system: 3x - y = 7 2x + 3y = 1
Answers
Answer: Yes (2,-1) is the solution for those systems.
becausee...
1. 3(2) - (-1) = 7
6 + 1 = 7
7 = 7
2. 2(2) + 3(-1) = 1
4 - 3 = 1
1 = 1
Hope this helps :)
Answer:
Yes the point (2,-1) is a solution of the system: 3x - y = 7 2x + 3y = 1
Step-by-step explanation:
(2,-1) = x = 2, y = -1
Now lets put these values in the given expressions
3x - y = 7
3 × 2 - (-1)
6 + 1
= 7 THIS EQUATION IS THE SOLUTION
2x + 3y = 1
2 × 2 + 3 × (-1)
4 - 3
= 1 THIS EQUATION IS THE SOLUTION