Answers
Answer:
1/64
Step-by-step explanation:
Simplify the following:
1/(4^(11/3)×4^(-2/3))
Hint: | Simplify radicals.
1/4^(2/3) = 1/(4^2)^(1/3) = 1/(2^4)^(1/3) = (1/2^(1/3))/2:
1/(4^(11/3)×(1/2^(1/3))/2)
Hint: | Multiply numerator and denominator of 1/(2 2^(1/3)) by 2^(2/3).
Rationalize the denominator. 1/(2 2^(1/3)) = 1/(2 2^(1/3))×(2^(2/3))/(2^(2/3)) = (2^(2/3))/(2×2):
1/(4^(11/3)×(2^(2/3))/(2×2))
Hint: | Multiply 2 and 2 together.
2×2 = 4:
1/(4^(11/3)×(2^(2/3))/4)
Hint: | Separate the exponent of 4^(-11/3) into integer and fractional parts.
4^(-11/3) = 4^(1/3 - 12/3) = 4^(-12/3)×4^(1/3):
(4^(-12/3) 4^(1/3))/((2^(2/3))/4)
Hint: | Divide 12 by 3.
12/3 = (3 (-4))/3 = 4:
(4^(-4) 4^(1/3))/((2^(2/3))/4)
Hint: | Compute 4^4 by repeated squaring.
4^4 = (4^2)^2:
(4^(1/3))/((2^(2/3))/4) 1/(4^2)^2
Hint: | Evaluate 4^2.
4^2 = 16:
(4^(1/3))/(16^2×(2^(2/3))/4)
Hint: | Evaluate 16^2.
| 1 | 6
× | 1 | 6
| 9 | 6
1 | 6 | 0
2 | 5 | 6:
(4^(1/3))/(256×(2^(2/3))/4)
Hint: | Simplify radicals.
4^(1/3) = (2^2)^(1/3):
1/(256×(2^(2/3))/4) 2^(2/3)
Hint: | Write (2^(2/3))/(256×(2^(2/3))/4) as a single fraction.
Multiply the numerator by the reciprocal of the denominator, (2^(2/3))/(256×(2^(2/3))/4) = (2^(2/3))/256×4/2^(2/3):
(2^(2/3)×4)/(256×2^(2/3))
Hint: | Cancel common terms in the numerator and denominator of (2^(2/3)×4)/(256×2^(2/3)).
(2^(2/3)×4)/(256×2^(2/3)) = (2^(2/3))/(2^(2/3))×4/256 = 4/256:
4/256
Hint: | Reduce 4/256 to lowest terms. Start by finding the GCD of 4 and 256.
The gcd of 4 and 256 is 4, so 4/256 = (4×1)/(4×64) = 4/4×1/64 = 1/64:
Answer: 1/64
Related Questions
Ryan worked 40 hours last week. He had $74 deducted from his earnings for taxes. If he had $286 left after the deduction, whats the equation for this?
Answers
Angel uses 1/8 cup of sugar for 1/3 of a recipe. How much sugar is needed if Angel makes the entire recipe twice?
Answers
Answer:
3/4 cups of sugar
Step-by-step explanation:
So we know that 1/8 cup of sugar is for 1/3 OF a recipe.
So if we want the full recipe we jsut have to multiply 1/8 by 3 since its only worth 1/3 of the recipe.
You’ll get 3/8 cups of sugar for a whole recipe. The question asks for 2 full recipes and since we already know it takes 3/8 cups for one we can multiply that by 2 to find the amount of sugar needed for 2 full recipes.
You’d get 6/8 cups of sugar.
Simplified: 3/4
What is the value of x
Answers
Answer:
x = 55
Step-by-step explanation:
A triangle is 180 degrees in total. All you have to do is add the sides you already have and subtract that by 180.
A jet fighter is capable of reaching speeds up to 1.5 x 10^3 miles per hour. A typical passenger plane can reach speeds of approximately
5.0 x 10^2 miles per hour. About how many times faster can the jet fighter travel per hour than the typical passenger plane?
Answers
Answer:
3 times faster
Step-by-step explanation:
[tex]\frac{1.5(10)^{3} }{5.0(10)^{2}} = \frac{1.5(10)}{5} = \frac{15}{5} = 3[/tex] times faster
PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORRECT. (no links my computer is slow and no ctrl c ctrol v if possible
Given a right triangle with leg lengths f and g, and hypotenuse h, if f = 6 inches and g = 8 inches, what is h
Answers
Answer:
I put the answer as a picture because it wouldn't let me write out the equations and use some characters :(
Step-by-step explanation:
Hopefully this helped :))
Solve for k:
k over 6.12 = 8.7
1. k = 53.244
2. k = 1.42
3. k = 2.58
Answers
Answer:
1. k=53.244 or k=13311/250
HELP PLEASE AND NO LINKS!!!!!!
The length of a rectangle is twice its width. Given the length of the diagonal is $5\sqrt{5}$, find the area of the rectangle.
Answers
Answer:
Step-by-step explanation:
Width =x
Length = 2*x = 2x
Diagonal = 5√5
Use Pythagorean theorem
Length² + Width² = diagonal²
(2x)² + x² = (5√5)²
{[tex](5\sqrt{5})^{2}=5\sqrt{5} *5\sqrt{5}=5*5*\sqrt{5*5}=25*5=75[/tex]}
4x² + x² = 75
5x² = 75
x² = 75/5
x² = 15
x = √15
Width = √15
Length = 2√15
Area of rectangle = length *width
= √15 *2√15
[tex]= 2* \sqrt{15*15}\\\\= 2*15\\= 30[/tex]
= 30 square units
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
Answer:x=3
Step-by-step explanation:
the 3 angles of a triangle equal 180
you add 105 and 46, which equals 151
you subtract 151 from 180 to see what the missing angle is (29)
you would make 6x+11 equal to 29
-subtract 11 from 29= 18
6x/6, 18/6
the answer is 3
hope this helps! :)
A construction crew is paving a road. The crew has already paved 1,000 square feet and can pave at a rate of 300 square feet of road per hour. The function f(x) = 300x
Answers
Answer:
Step-by-step explanation:
i go to southwind what’s the answer ??
The crew would spend 3.33 hours to pave a road that is 1,000 ft².
A linear equation is in the form:
y = mx + b;
where y, x are variable, m is the slope of the line and b is the y intercept.
Let f(x) represent the amount of space paved in x hours.
Given the function:
f(x) = 300x
Therefore to pave 1000 ft²:
1000 = 300x
x = 3.33 hours
The crew would spend 3.33 hours to pave a road that is 1,000 ft².
Find out more at: https://brainly.com/question/21105092
Which expression is equivalent to 8 x 2 − 2 x − 3 ?
Answers
you have to follow PEMDAS. you multiply first and then subtract. I hope this helps and let me know if I got it wrong. Sorry it’s upside down. Click on the picture and then flip it using the icon at the top
Which choice shows the corresponding sides as equal ratios?
Answers
Because you are dividing the second triangle by the first one
Option A, DE/AB=EF/BC=DF/AC shows the corresponding sides as equal ratios
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
From the given triangles
In triangle ABC, the lengths AB is 3, BC is 4 and CA is 5.
In triangle DEF, the lengths DE is 6, EF is 8 and DF is 10.
As the two triangles are similar.
DE/AB=6/3=2
EF/BC=8/4=2
DF/AC=10/5=2
So DE/AB=EF/BC=DF/AC=2
Hence, Option A DE/AB=EF/BC=DF/AC shows the corresponding sides as equal ratios
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ2
36/6=
I need help ASAP
Answers
Answer:
What?
Step-by-step explanation:
Are you trying to divide?
Answer:
6
Step-by-step explanation:
Divide 36 into 6 equal parts. 36/6=6
Which of the following situations are equal to 25%? 12 out of 60 3 out of 12 5 out of 20 9 out of 18 8 out of 32
Answers
Answer:
8/32;
Step-by-step explanation:
8/32 is equivalent to 1/4 which percentage is 25
The number 720 can be expressed as
24 x 36 x 5. Work out the values of a and b.
Answers
Answer:
24×36×5=4,320
4,320÷6=720
Answer:
I don't understand your question.
What is the product?
3•[1 -4 5 -7]
Answers
Answer:
-153
Step-by-step explanation:
3-135-21
-132-21
-153
Answer:
I got -78
please i dont understand this
Hope that helps!! :)
Proably not though sorry
Bye bye have a great day <3
Which one is the answer
Answers
Answer:
2667
Step-by-step explanation:
35 meters wide at the base
20.6 meters tall
h = 20.6 m
slant height s = 27.029798371427 m
side length a = 35 m
lateral edge length e = 32.200310557509 m
1/2 side length r = 17.5 m
volume V = 8411.6666666667 m3
lateral surface area L = 1892.0858859999 m2
base surface area B = 1225 m2
total surface area A = 3117.0858859999 m2
in all explanation, 2667 is the final answer.
hope this helped!
Find the measure of arc LM.
Answers
Answer:
arc LM = 119°
Step-by-step explanation:
KL = LM
arc KL = arc LM
2(arc LM) = 360° - 122° = 238°
arc LM = 119°
5/25 convert into a decimal
Answers
Answer:
0.2
Step-by-step explanation:
5/25 as a decimal is 0.2.
1/5=0.2
just reduce it to 1/5 and divide it into a decimal
If you are finding the range of a data set, are you finding a measure of center or a measure of variation?
center
variation
Answers
Answer:
i think variation
Step-by-step explanation:
A college’s tuition has risen 4% each year since 2015. If the tuition in 2015 was 30,000, write an equation for this amount of tuition t years after 2015.
Answers
Answer:
Step-by-step explanation:
find the measure of one interior angle for a regular 14-gon
Answers
Answer:
Step-by-step explanation:
The sum of the interior angles of a 14-gon = (14-2)*180 = 2160 degrees. There are 14 vertexes (vertices) for a 14-gon. It is 'regular' so all these angles are equal. 2160/14 = 154.285 degrees
hope it helps :)
in a raffle, one ticket will win a $530 prize, four tickets will win a $500 prize, ten tickets will win a $160 ze, and the other tickets will win nothing. There are 1,000 in the raffle. If you have a ticket, what is e expected payoff?
Answers
find the values of x and y.
Answers
Answer:
x= 60° , y = 60 °
Step-by-step explanation:
x = 60°
y = 60°
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
if you find it useful.
Hans wanted to find the length of the hypotenuse of the triangle. Which statement correctly identifies his error?
A right triangle has side lengths 40 centimeters and 9 centimeters. The hypotenuse is labeled c.
9 squared + 40 squared = c squared. 81 + 80 = c squared. 161 = c squared. StartRoot 161 EndRoot centimeters = c.
He did not square 40, he just multiplied by 2.
He did not finish the problem. He should have divided 161 by 2 to find the square root.
He should have added 9 + 9 to find the value of 9 squared.
He should have subtracted the two squares to get 40 squared minus 9 squared = c squared because numbers get too large if both legs are squared and then added together.
Answers
Answer:
He did not square 40, he just multiplied by 2
Answer 41 centimeters.
Step-by-step explanation:
C²=40²+9²
C²=1600+81
C²=1681
√c²=√1681
C=41cm
Answer:
the answer is A
Step-by-step explanation:
edg
What is an equation of the line that passes through the points (0,5) and (-5,7) Put your answer in fully reduced form
Answers
Answer:
y = 2/5x + 5
Step-by-step explanation:
I assume you want the equation in point slope form? So assuming that, (0, 5) is the y intercept which is b in the equation y=mx+b (b=5). Now you have to find the slope, paper is really handy (I like drawing a graph out to help me sometimes but an easy way to do it is another equation like this...
y2-y1/x2-x1=
7-5/-5-0=
2/5 --> So 2/5 is the slope, and that finishes the equation
Final equation in point slope form: y=2/5x+5
HOPE YOU UNDERSTAND NOW!!!! :)
The equation of the line that passes through the point (0, 5) and (-5, 7) is
y = - 2/5 x + 5
The equation can be represented in the slope intercept form below
y = mx + bwhere
m = slope
b = y- intercept
(0, 5)(-5, 7)
The slope can be found below
m = 7 - 5 / -5 - 0 = 2 / -5 = - 2/5
Therefore, using y = mx + b format
y = -2/5 x + b
let's find b using the coordinate (0, 5)
5 = - 2 /5 (0) + b
b = 5
Finally, the equation is
y = - 2/5 x + 5
read more: https://brainly.com/question/16569095?referrer=searchResults
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answers
Answer:(-6.5,-5)
Step-by-step explanation:
P = (3A +1B)/(3+1)
P = (3(-7, -9) +(-5, 7))/4 = (-21-5, -27+7)/4 = (-6.5, -5)
Write the equation for the line in point-slope form that passes through the point (- 4, - 6) with a slope of 34
Answers
Answer:
34 minus -6 minus= -6
Step-by-step explanation:
find the value of given expression
[tex] \sqrt{35 \times 35} [/tex]
Answers
\
soobee72pl
soobee72pl
soobee72pl
soobee72pl
soobee72pl
soobee72pl
soobee72pl
soobee72pl
soobee72pl
soobee72pl
soobee72pl
soobee72pl
Answers
Answer:
what does that mean?
what does that mean?
what does that mean?
what does that mean?
what does that mean?
what does that mean?
what does that mean?
what does that mean?
what does that mean?
what does that mean?
what does that mean?
what does that mean?
what does that mean?
what does that mean?
what does that mean?
wasd is the moving mechanics in minecraft
factor the trinomial 6y^2+19y+15?
Answers
Answer:
6y^2+43
Step-by-step explanation:
6y^2+(19+15)
Answer:
(2y+3)(3y+5)
Step-by-step explanation:
6y^2+19y+15
Factor the expression by grouping. First, the expression needs to be rewritten as 6y^2+ay+by+15. To find a and b, set up a system to be solved.
a+b=19
ab=6×15=90
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 90.
1,90
2,45
3,30
5,18
6,15
9,10
Calculate the sum for each pair.
1+90=91
2+45=47
3+30=33
5+18=23
6+15=21
9+10=19
The solution is the pair that gives sum 19.
a=9
b=10
Rewrite 6y^2+19y+15 as (6y^2+9y)+(10y+15).
(6y^2+9y)+(10y+15)
Factor out 3y in the first and 5 in the second group.
3y(2y+3)+5(2y+3)
Factor out common term 2y+3 by using distributive property.
(2y+3)(3y+5)