Which expression is equivalent to StartFraction b Superscript negative 2 Baseline Over a b Superscript negative 3 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Over b Superscript 5 Baseline
StartFraction 1 Over a b Superscript 5 Baseline Endfraction
StartFraction a cubed b Over 1 EndFraction
StartFraction b Over a EndFraction
Answers
Answer:
D. [tex] = \frac{b}{a} [/tex]
Step-by-step explanation:
Given:
[tex] \frac{b^{-2}}{ab^{-3}} [/tex]
Required:
Assuming a ≠ 0, b ≠ 0, find the expression equivalent to the given expression.
SOLUTION:
[tex] \frac{b^{-2}}{ab^{-3}} [/tex]
Recall the exponent rule => [tex] \frac{x^{a}}{x^{b}} = x^{a - b} [/tex]
Applying the exponent rule, we would have:
[tex] \frac{b^{-2 -(-3)}}{a} [/tex]
[tex] = \frac{b^{-2 + 3}}{a} [/tex]
[tex] = \frac{b^{1}}{a} [/tex]
[tex] = \frac{b}{a} [/tex]
Thus, the equivalent expression of [tex] \frac{b^{-2}}{ab^{-3}} [/tex] = [tex] \frac{b}{a} [/tex]
Answer:
d
Step-by-step explanation:
Related Questions
Question 2 options: It is known that 50% of adult workers have a high school diploma. If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma
Answers
Answer:
(That is, find P(X≥5)) (keep 4 decimal places)
Step-by-step explanation:
JUST TRUST ME
B
Find the perimeter of the triangle.
A)
20
B)
151
Eliminate
12 + 174
12 + VAT
HELPP PLEASE
Answers
Answer:
B
Step-by-step explanation:
) B. Communicate Precisely LaTanya wants to place
a lamp halfway between the chairs at points C
and D. How can you find the point where the
lamp should go?
C
Answers
Hi, you've asked an incomplete question. I attached the missing caption that completes the question.
Explanation:
By looking closely at the caption we notice there are measuring coordinates along the margin of the caption. To find the middle of the chairs, take note of the total coordinate distances between points C and D;
For the vertical axis, the distance is 4For the horizontal axis, the distance is 2Substracting both differences in distances we get 2 (4-2) so at point (10, 7) we find the middle or halfway between the chairs at points C and D.
2. What is the place value of the 5 in 3562?
Answers
Answer:
Hundreds Place
Step-by-step explanation:
The 5 is in the hundreds place.
Hope this helps :D
3 is the thousands place
5 is the hundreds place
6 is the tens place
2 is the ones place
You tell me the answer.
Fleece vests regularly priced at $15.99 are on sale for $12.99. If the sales tax is 5%, how much can you save by buying the vests on
sale?
A. 3.30
B. 3.00
C. 3.15
D. 3.20
Answers
the values of x and y vary directly write an equation that relates x and y x = 0.1 y = 0.9
Answers
9514 1404 393
Answer:
y = 9x
Step-by-step explanation:
If you like, you can start with the proportion ...
x/y = 0.1/0.9
Multiplying by 9y gives ...
9x = y
The equation you want is ...
y = 9x
-0.8 + 40 - 8x - 35 can you please help with this pre algebra
Answers
Answer:4.2-8x
Step-by-step explanation:
-0.8-40-35=4.2 -8x
Over the interval [0, 2), what are the solutions to sin(2x) = 2cos(x)? Check all that apply,
Answers
Answer:
pi/2 and 3pi/2
Step-by-step explanation:
on edge
The required solutions to sin(2x) = 2cos(x) are the following as : [tex]\:x=\frac{\pi }{2}+2\pi n,\:x=\frac{3\pi }{2}+2\pi n[/tex].
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
The equation of trigonometry functions is given in the question:
sin(2x) = 2cos(x)
We have to determine the solution to the given trigonometry equation
As per the question, we have
⇒ sin(2x) = 2cos(x)
Rewrite the above trigonometry equation,
⇒ sin(2x) - 2cos(x) = 0
⇒ 2sin(x)cos(x) - 2cos(x) = 0
Common factor out from the equation,
⇒ 2cos(x)[sin(x) - 1] = 0
Solving each part separately
2cos(x) = 0 and sin(x) - 1 = 0
cos(x) = 0 and sin(x) = 1
[tex]\:x=\frac{\pi }{2}+2\pi n, and \:x=\frac{3\pi }{2}+2\pi n[/tex].
Thus, the required solutions to sin(2x) = 2cos(x) are the following: [tex]\:x=\frac{\pi }{2}+2\pi n,\:x=\frac{3\pi }{2}+2\pi n[/tex].
Learn more about Trigonometric functions here:
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Which of the following is the equation of a line in slope-intercept form for a
line with slope = 2/3 and y-intercept at (0,-2)?
O A. y = 2/3 x - 2
O B. y = -2/3x + 2
O c. y = -2x - 2/3
O D. y = -2/3 = x - 2
Answers
Step-by-step explanation:
A,
because we can use the formula y=mx+c
solve this mathematical problem
20W!4X 10w! 2=?
Answers
Answer:
this is just simplified
800w!^2
what is the value of x in 6x=54
Answers
Answer:
x=9
Step-by-step explanation:
6(9)=54
For the formula x = 3y - z, what is the value of x when y = 4 and z = 1?
Answers
x = 3(4) - 1
x = 12 - 1
x = 11
Answer:
here, x=3y-z then,
(substitute value of y and z)
x=3×4-1
=12-1
x=11ans
What is the Equation of this Trend line
K=_ J+_
Answers
Answer:so the standard form is y = mx + b
m is the slope (rise/run)
b is the y-intercept or where the slope intercepts the y-axis
so you end up with
k = (4/-2)j + 24
simplify this to
k = -2j + 24
Step-by-step explanation:
At a rap concert, the ratio of the number of boys to the number of girls is 9: 5. If there
are 320 more boys than girls, how many boys and how many girls are at the concert?
Answers
Answer:
177.78
Step-by-step: Let's solve your equation step-by-step.
9
5
=
320
x
Step 1: Cross-multiply.
9
5
=
320
x
9*x=(320)*(5)
9x=1600
Step 2: Divide both sides by 9.
9x
9
=
1600
divided by 9 which will give you 177.78
-3x=2x+19 solve pls
Answers
Answer:
-19/5
Step-by-step explanation:
2x+3x+19=0
5x=-19
x=-19/5
I hope this helped in some way
a squares side are increased by five inches. Find the length of the original square if the perimeter of the new square is 100 inches. Length of side of original square: ______
inches
Answers
Answer:
The length of side of original square is: 20 inches
Step-by-step explanation:
Let x be the length of side of original square
Then x+5 will be the side of new square
Th formula for perimeter is:
[tex]P = 4*side[/tex]
As we know the perimeter of the new square we can use the perimeter to find the value of x
[tex]100 = 4 * (x+5)\\100 = 4x+20\\4x = 100-20\\4x = 80\\\frac{4x}{4} = \frac{80}{4}\\x = 20[/tex]
The value of x is 20 inches.
Hence,
The length of side of original square is: 20 inches
Si un número divisible entre 3 también es divisible entre 6
Answers
Answer:
es verdad pero 3 nomas puede ser dividido por 3 o 1
Step-by-step explanation:
In the diagram find m angle BAC
Answers
Answer:
I'm thinking b not 100 percent sure
Answer:
The answer is B) 122 degrees
An assignment of 82 pages of a novel was given out on Monday to be read on Friday. if the students read equal nʋmber of pages on Monday, tuesday ,Wednesday and ?Thursday evening how many pages should be read each evening
Answers
Step-by-step explanation:
20 .5 i think its right answer
-9x - 5y = 26
4x -4y = -24
Answers
Answer:
(-4, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
-9x - 5y = 26
4x - 4y = -24
Step 2: Rewrite systems
4x - 4y = -24
Add 4y to both sides: 4x = 4y - 24Divide 4 on both sides: x = y - 6Step 3: Redefine systems
-9x - 5y = 26
x = y - 6
Step 4: Solve for y
Substitution
Substitute in x: -9(y - 6) - 5y = 26Distribute -9: -9y + 54 - 5y = 26Combine like terms: -14y + 54 = 26Isolate y term: -14y = -28Isolate y: y = 2Step 5: Solve for x
Define original equation: 4x - 4y = -24Substitute in y: 4x - 4(2) = -24Multiply: 4x - 8 = -24Add 8 to both sides: 4x = -16Divide 4 on both sides: x = -4Step 6: Graph
Check the solution set.
if y is 20 when x is 5 find x when y is 60
Answers
Answer:
15
Step-by-step explanation:
If y is 20 when x is 5 then x is always 1/4 of y
60*(1/4)=15
So you do 60/4 = 15
In physics, the current (I), potential difference (V), and resistance ® of an electrical circuit are known to stand in the following relation. i=V/R Which of the following is the same equation solved for V?A. V=IR B. V= I(1-R) C. V=I/R D.V=R/I
Answers
Answer:
Step-by-step explanation:
The current that flows through most substances is directly proportional to the voltage V applied to it. The German physicist Georg Simon Ohm (1787–1854) was the first to demonstrate experimentally that the current in a metal wire is directly proportional to the voltage applied: I∝V I ∝ V .
Which is a unit rate?
StartFraction 4 dollars Over 3 cans EndFraction
StartFraction 5 students Over 2 teachers EndFraction
6 hours : 1 book
3 miles : 2 days
Answers
The answer is
6 hours : 1 book
Answer:
C
Step-by-step explanation:
Help please as soon as possible :)))
Answers
Answer:
24m 10+3+3+2+6
Step-by-step explanation:
Answer:
i believe its 24m surface area
Step-by-step explanation:
sorry if wrong
Trapezoid ABCD is similar to trapezoid EFGH which OF THE FOLLOWING PROPORTIONS MUST BE TRUE ?
Answers
The temperature was 12°C before the storm. During the storm, the temperature dropped 19°C. What was the temperature at the end of the storm?
Answers
Answer:
-7 degrees celsius
Step-by-step explanation:
12-19=-7
Answer:
-7
Step-by-step explanation:
12 - 19 = -7
Fill in the table using this function rule.
y = 4+4x
X Y
2
3
4
10
Fill in the y area
Answers
12, 16, 20, 44
Just substitute the number on the x side of the table for x in the equation and solve to get the y value.
The completed table of Y values using the function rule y = 4 + 4x is as follows:
X Y
2 12
3 16
4 20
10 44
To fill in the Y values using the function rule y = 4 + 4x, we substitute the given X values into the equation and solve for Y.
When the value of X = 2:
4 + 4(2) = 4 + 8 = 12
When the value of X = 3:
4 + 4(3) = 4 + 12 = 16
When the value of X = 4:
4 + 4(4) = 4 + 16 = 20
When the value of X = 10:
4 + 4(10) = 4 + 40 = 44
The completed table is as follows:
X Y
2 12
3 16
4 20
10 44
Learn more about the Linear equations here:
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GIVING BRAINLIEST FOR WHO ANSWERS FIRST.
Answers
Answer:
Option D: 66 degrees
Step-by-step explanation:
Interior angles of a triangle add up to 180 degrees.
Thus, 90+24+x=180 would be the equation you make to solve:
90+24+x=180
114+x=180
x=66
So <x=66 degrees
Rewrite the following expression using the distributive property: 12x + 20
Answers
Answer: 4(3x +5) or 2(6x +20)
Step-by-step explanation:
Which one is bigger 7.4 or 7 2/5?
Answers
Answer:
None, They are Both Equal
Step-by-step explanation:
7 2/5 = 7.4
7.4 = 7.4
So, 7.4 = 7.4
Hence, none of them are bigger