Answers
Answer:
The final answer is [tex]\frac{8}{27}[/tex] .
Step-by-step explanation:
Solve the following equation:
[tex](2^{2} \cdot 3^{-1} \cdot 4^{-1})^{-1} \over 2^{-3} \cdot 3^{4}[/tex]
-Simplify [tex]2^{2}[/tex] :
[tex](2^{2} \cdot 3^{-1} \cdot 4^{-1})^{-1} \over 2^{-3} \cdot 3^{4}[/tex]
[tex](4 \times 3^{-1} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]
-Simplify [tex]3^{-1}[/tex] :
[tex](4 \times 3^{-1} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]
[tex](4 \times( \frac{1}{3}) \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]
-Multiply both [tex]4[/tex] and [tex]\frac{1}{3}[/tex] :
[tex](4 \times( \frac{1}{3}) \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]
[tex](\frac{4}{3} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]
-Simplify [tex]4^{-1}[/tex] :
[tex](\frac{4}{3} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]
[tex](\frac{4}{3} \times (\frac{1}{4}) )^{-1} \over 2^{-3} \times 3^{4}[/tex]
-Multiply both [tex]\frac{4}{3}[/tex] and [tex]\frac{1}{4}[/tex] together:
[tex](\frac{4}{3} \times (\frac{1}{4}) )^{-1} \over 2^{-3} \times 3^{4}[/tex]
[tex](\frac{1}{3})^{-1} \over 2^{-3} \times 3^{4}[/tex]
-Simplify [tex]\frac{1}{3}^{-1}[/tex] :
[tex](\frac{1}{3})^{-1} \over 2^{-3} \times 3^{4}[/tex]
[tex]3 \over 2^{-3} \times 3^{4}[/tex]
-Then, on the denominator, simplify [tex]2^{-3}[/tex] :
[tex]3 \over 2^{-3} \times 3^{4}[/tex]
[tex]3 \over \frac{1}{8} \times 3^{4}[/tex]
Simplify [tex]3^{4}[/tex] :
[tex]3 \over \frac{1}{8} \times 3^{4}[/tex]
[tex]3 \over \frac{1}{8} \times 81[/tex]
Multiply both [tex]\frac{1}{8}[/tex] and [tex]81[/tex] together:
[tex]3 \over \frac{1}{8} \times 81[/tex]
[tex]3 \over \frac{81}{8}[/tex]
Divide [tex]3[/tex] and [tex]\frac{81}{8}[/tex] by multiplying [tex]3[/tex] by the reciprocal of [tex]\frac{81}{8}[/tex] :
[tex]3 \over \frac{81}{8}[/tex]
[tex]3 \times (\frac{81}{8})[/tex]
-And you multiply [tex]3[/tex] and [tex]\frac{81}{8}[/tex] together:
[tex]3 \times (\frac{81}{8})[/tex]
[tex]\frac{8}{27}[/tex]
So, the final answer would be [tex]\frac{8}{27}[/tex] .
Related Questions
plz answer this asap
Answers
Explanation: A function only has one answer for each in put, but in this situation 2 has two answers(1 and 7). So H is NOT a function.
What number is the same percent of 36 as 5 is of 24?
If possible please show work:))
Answers
Answer:
7.4999999988
Step-by-step explanation:
5/24=0.2083333333
5 is 20.8% of 24
36*0.2083333333=7.4999999988
Answer:
7.5
Step-by-step explanation:
x/36=5/24
x= 36*5/24
x= 7.5
At an airshow, 8 skydivers were released from a plane in a circle formation. Each skydiver was connected to each of the other skydivers with a separate pieces of ribbon. How many pieces of ribbon were used in the skydiving act?
Answers
Answer:
28
Step-by-step explanation:
If a ribbon connects two skydivers, and there are 8 skydivers total, then we can do 8C2, which is equal to (8*7)/2, which is equal to 28. An alternate solution is to think of it this way. Skydiver 1 is connected to everyone else, which is 7 other people. Skydiver 2 is connected to everyone else but Skydiver 1, which is 6 other people. This goes on until Skydiver 8 is already connected with everyone. So we have 7+6+5+4+3+2+1+0, which is also equal to 28.
The total number of pieces of ribbons that were used in the skydiving act is 28 ribbons
What are Combinations?
The number of ways of selecting r objects from n unlike objects is:
The equation for combination is
ⁿCₓ = n! / ( ( n - x )! x! )
where
n = total number of objects
x = number of choosing objects from the set
Given data ,
The total number of skydivers in the plane n = 8 skydivers
Each skydiver was connected to each of the other skydivers with a separate pieces of ribbon
So , the number of choosing skydivers x = 2
Now , the total number of ribbons used is calculated by combination
So , the equation is
ⁿCₓ = n! / ( ( n - x )! x! )
Substitute the value of n and x in the equation , we get
⁸C₂ = 8! / ( ( 8 - 2 )! x 2! )
= 8! / ( 6! x 2! )
= 8 x 7 / 2 x 1
= 56 / 2
= 28 ribbons
Hence , The total number of pieces of ribbons that were used in the skydiving act is 28 ribbons
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How do I solve this 4x-2y=8 y=3/2x-2
Answers
Answer:
y=1 and x= .5
Step-by-step explanation:
distribute
the x has to be solved
they when got the answer
input the answer you got for x into the y and subtract and divide
the answer is one for x
Simplify x^2-9/x^2+x-12
Answers
Answer: \frac{x+3}{x+4}
Step-by-step explanation:
\frac{x^2-9}{x^2+x-12}
\frac{(x+3)(x-3)}{(x+4)(x-3)} =\frac{x+3}{x+4}
Answer: x⁴+x³-12x²-9/x²
20 POINTS!! Let logb A = 3; log, C = 2; log, D= 5
What is the value of logb(a5c2/d6)?
Answers
Answer:
-11
Step-by-step explanation:
logb ( a^5 c^2 / d^6)
Splitting these into log (xy/z) = log x + log y - logz
logb ( a^5) +logb ( c^2) - logb( d^6)
We also know that log x^y = y log x
5logb ( a) +2logb ( c) - 6 logb( d)
Given logb ( a)=3 logb ( c) =2 logb( d)=5
5 * 3 + 2* 2 - 6* 5
15 +4 -30
19 - 30
-11
Answer: -11
Step-by-step explanation:
just got it right on ap3x
Which interval notation accurately represents the domain?
(–∞, 7) U (7, ∞)
(–∞, 5) U (5, ∞)
(–∞, 0) U (0, ∞)
(–∞, 10) U (10, ∞)
Answers
The domain represents interval notation is (–∞, 7) U (7, ∞) which is the correct answer would be an option (A)
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
For all other x-values, the graph appears to be defined. Thus, with the exception of x = 7, all real numbers should fall under the function's domain. This is what that would look like in interval notation:
It is possible to write the interval (–∞, ∞). as the set of all real numbers. Keep in mind that infinity∞ or -∞ is not a real number. Both ends are shown to be excluded from the interval by the rounded brackets.
All real numbers less than but not equal to 7 are contained in the set (-∞,7). (both ends are excluded.) The collection of every real number greater than but not equal to is.
All real numbers less than and higher than are combined to form the set of all real numbers that are not equal to 7. The union operator joins two intervals together.
Hence, the domain represents interval notation is (–∞, 7) U (7, ∞)
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if you answer this simple question you will get 15 point. but explain and give reason fast
Answers
Answer:
x = 45 degree as it is an alternate angle we use 135 degree to prove supplementary angles across the straight line add up to 180 degree.
Therefore we prove 180-135 = 45 degree and say all angles on straight line add up to 180 degree, and recognize x is an alternate angle as the arrow straight lines are parallel and create precise alternate lines from which we can prove multiple supplementary and alternate angles.
Supplementary can be either angle will always be supplementary from either 45 degree angle matched with any 135 degree as they don't have to be together to be supplementary they only have to equal 180 degree to be a supplementary angle.
Step-by-step explanation:
I NEED HELP ASAP:(
Use the commutative or associative property to simplify the expression.
-1/7(9x)
Answers
Answer:
i think it is -9x/7
Step-by-step explanation:
Find the mystery number from the following clues. • It is a two-digit number. • It is a factor of 48. • It is a multiple of 6. • The sum of the digits is 3.
Answers
Answer:
It might be 24 but probaly not.
Step-by-step explanation:
It is the first 3 , but am not sure about the last one.
pleaseeee help!!
x =
a.) 4
b.) 9
c.) 16
Answers
Answer:
x =16
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent/ hypotenuse
cos 60 = 8/x
Switch the x and the cos 60
x = 8/cos 60
x =8 / (1/2)
x =16
Jane is going to fence in her backyard. She has purchased 150 feet of fencing
and knows that she wants to fence in a rectangular area where one side will
be the back of her house. She knows her huse is 40 feet across the back.
Which of the following is the equation that Jane can use to figure out how far
back from the house she can fence in?
Answers
Answer:
Two sides of the rectangle will extend from the wall of the house, one side of the rectangle will run parallel to the house 40 ft..
Step-by-step explanation:
2x + 40 = 150
or
x + x + 40 = 150
(Teaser) Is it possible to have a triangle whose all three altitudes intersect at one of the vertices of that triangle?
answer can be.. YES or NO
Answers
Answer:
yes
Step-by-step explanation:
yes
What is the area of the figure?
2ft
1 1/3 ft
1/3 ft
5 ft
Answers
Answer:
12
Step-by-step explanation:
Find two consecutive whole numbers that square root 109 lies between.
Answers
The closest lower value would be 10.
10^2 = 100
So the two consecutive numbers would be 10 and 11
Martin was given this expression to simplify: 23x + xy – y + 3y + 5 – 20x + 6xy He simplified the expression to: 43x + 7xy −3y What were Martin’s errors? Check all that apply. The combined coefficients of the x terms should be 3x, not 43x. The 7xy should be –7xy. The coefficients of the y terms have been multiplied. When you combine like terms, you add or subtract the coefficients. The constant was left off. The terms xy and 6xy are not like terms because there are two variables.
Answers
Answer:
Step-by-step explanation:
23x + xy - y + 3y + 5 - 20x + 6xy = 23x - 20x + xy + 6xy -y + 3y + 5
= 3x + 7xy + 2y + 5
Errors:1) The combined coefficients of the x terms should be 3x, not 43x
2) The coefficients of the y terms have been multiplied.
3) The constant was left off.
Answer:
1,3,4
Step-by-step explanation:
Semicircle M has a radius of 15 inches. If an ant walks from A to B directly along diameter AB and a beetle
walks from A to B around ACB. how much farther, to the nearest tenth of an inch, does the beetle walk?
(1) 17.1
(2) 32.1
(3) 64.2
(4) 79.2
Answers
Answer:
A,17.1 in
Step-by-step explanation:
circumference of sphere=2πr
Beetle walks=πr=π×15=15π=15×3.14≈47.1 in
Ant walks=d=2r=2×15=30
difference=47.1-30=17.1 in
Use the distributive property to write the following sum as a product.
17a+17b
Answers
Answer:
17(a+b)
Step-by-step explanation:
17 is distributed in the initial equation to both the a and the b
Answer:
17(a+b)
Step-by-step explanation:
Factor out the common term
17a+17b
17(a+b)
find the missing angle
Answers
Answer:
56.44
Step-by-step explanation:
The sine of an angle is the length of the opposite side divided by the length of the hypotenuse, which in this case is 40/48=5/6. Therefore, that angle is the arcsin of this, or approximately 56.44 degrees, or answer choice C. Hope this helps!
What is the equation of the line that is perpendicular to the
given line and has an x-intercept of 6?
y=-3x+8
O y=-3x + 6
O y=-x-8
O y=x-6
Answers
Answer:
y=x-6
Step-by-step explanation:
The x-intercept is found replacing y = 0, as follows:
Function: y = -3x + 8
x-intercept:
0 = -3x + 8
3x = 8
x = 8/3
Function: y = -3x + 6
x-intercept:
0 = -3x + 6
3x = 6
x = 6/3 = 2
Function: y = -x - 8
x-intercept:
0 = -x - 8
x = -8
Function: y = x - 6
x-intercept:
0 = x - 6
x = 6
The last option is the only one in which x-intercept is x = 6.
A store uses the expression -2p+ 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere
from $9 to $15. Which price gives the store the maximum amount of revenue, and what is the maximum revenue? (Revenue =
price x number of backpacks.)
$9.00 per backpack gives the maximum revenue; the maximum revenue is $32.00.
$12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00.
$12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.
$15.00 per backpack gives the maximum revenue; the maximum revenue is $20.00.
Answers
Answer:
B: $12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00.
Step-by-step explanation:
Answer:
first dude is right :)
Step-by-step explanation:
Find the value of x in the given figure using properties of parallel lines. answers: A) 35° B) 15° C) 75° D) 105°
Answers
Answer:
x = 75
Step-by-step explanation:
X and 105 are supplementary angles so they add to 180
x+105 = 180
Subtract 105 from each side
x = 180-105
x= 75
1/4 ( 8x + 16) + 4x
I apparently need 20 characters for a great answer so ignore this <3
Answers
Answer:
2x(3x + 2)
Step-by-step explanation:
Answer
102
Step-by-step explanation:
X means 3 not times, lots of people mess that up sometimes. Anyways, do 8+3 which equals 11. 8+3=11. So next what you do is you do 11 + 16 which is 27,
equations:
8+3=11
11+16=27
21/1=27
27/4= 6.75
6 x 3= 27
27 + 72 + 3= 102
Then go back to the beginning and do 1/4. If this confuses let me fix it.
now divide it with 4. Look at the equations list. Okay now do 6.72/4x. MAKE SURE TO MULTIPLY DON'T DIVIDE! You multiply 6 and 4 then you add 72 and three! Then you should end up with 102! I hope this worked message me back if it did :)
14. question in attachment
Answers
[tex]answer \\ = 2x - 2 \\ solution \\ given \: data = x + 1 ,\: 3x - 2 ,\: 2x - 5 \\ n(total \: number \: of \: items) = 3 \\ we \: have \: to \: find \: mean \: of \: the \: given \\ data \\ mean = \frac{x + 1 + 3x - 2 + 2x - 5}{3} \\ \: \: \: \: \: \: \: = \frac{x + 2x + 3x + 1 - 2 - 5}{3} \\ \: \: \: \: \: \: = \frac{6x - 1 - 5}{3} \\ \: \: \: \: = \frac{6x - 6}{3} \\ \: \: \: \: = 2x - 2 \\ hope \: it \: helps[/tex]
Can someone help please, thank you.
Answers
Answer: y - 2 = 3/2(x + 1)
Step-by-step explanation:
Point slope form is y - y1 = m(x - x1). Where m is the slope. so you can just fill in:
y - (2) = 3/2(x - (-1))
y - 2 = 3/2(x + 1)
using SOH CAH TOA, solve for x.
Answers
Answer:
x=10.93 or 10.9
Step-by-step explanation:
To find x we use sin
sin(40) = 0.6427876097 then * 17
= 10.9273
= 11
We can check and plug in answer as inverse to find other side
11/sin (40degree) x (90 degree) = 17.11
If we plug in the original 10.9273 we actually find 17
So we should show the correct amount 10.9273 and if rounding try 10.93
10.93/sin (40 degree) x sin (90 degree) = 17.00
Pls Need Help!
Triangle Q S R. Angle Q is 98 degrees and angle R is 37.6 degrees. Triangle T U V. Angle U is 98 degrees and angle V is 37.6 degrees.
Which statement is not true about these triangles?
A. ∠Q ≅ ∠T based on the third angle theorem.
B. ∠S corresponds to ∠V.
C. ∆QRS ~ ∆TVU based on the angle-angle criterion.
D. ∆RQS ~ ∆VTU based on the angle-angle criterion.
Answers
Answer: ∠S corresponds to ∠V.
The solution is Option B.
The measure of angle ∠S corresponds to ∠V
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the first triangle be ΔQSR
Let the second triangle be ΔTUV
Now , the measure of ∠Q = 98°
The measure of ∠R = 37.6°
The measure of ∠U = 98°
The measure of ∠V = 37.6°
So , the measure of the third side of the triangles is
The measure of ∠S = measure of ∠T = 180 - ( 98 + 37.6 )
The measure of ∠S = measure of ∠T = 44.4°
And , ∆QRS ~ ∆TVU based on the angle-angle criterion
So , ∠Q ≅ ∠T based on the third angle theorem
And , ∆RQS ~ ∆VTU based on the angle-angle criterion
Hence , the false statement is ∠S corresponds to ∠V.
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please help! i need this asap
Answers
ordered data: 3o(oranges), 3g(green), 6y, 8r, 13b(black, 15b(blue
mean: 8 mode: 3 range: 12
GIVING BRAINLIEST EASY QUESTION!!!!!!!!!!!!!!
The coordinate grid shows three points P, Q, and R:
A four-quadrant coordinate grid from negative 10 to positive 10 in increments of 2 is drawn. Point P is plotted on the ordered pair negative 2, negative 8. Point Q is plotted on the ordered pair negative 4, negative 2. Point R is plotted on the ordered pair 8, negative 2.
The distance between Q and R is ______ units.
Answers
Answer:
The answer is 10! :)
(Just realized this was posted in 2020, but whatever)
Jennifer settles on the purpose of her website. What should be her next? A. design the website. B. Set an objective or goal C. Identify target users. E. Plan the website architecture
Answers
Answer:
C. Identify target users
explanation:
After she settles on the purpose of her website she basically had her plan/ goal already visioned. the next step is to find an audience that would be entertained and intrigued by her content. from this then she can start designing the project. i believe this question is in the wrong subject but
hope i helped!
Answer:
design the website
Step-by-step explanation: