Which shows the following expression after the negative exponents have been eliminated?
Answers
Step-by-step explanation:
The given expression is :
[tex]\dfrac{a^3b^{-2}}{ab^{-4}}[/tex]
We need to simplify the above expression.
a³ is in numerator and a is in denominator. It gts cancelled.
[tex]\dfrac{a^3b^{-2}}{ab^{-4}}=\dfrac{a\times a\times a\times b\times b\times b\times b}{a\times b \times b}\\\\=\dfrac{a^2\times b^{-2}\times b^4}{1}\\\\=\dfrac{a^2}{b^{-2}}[/tex]
Hence, this is the required solution.
Related Questions
Consider the following sample data: x 12 18 20 22 25 y 15 20 25 22 27 Click here for the Excel Data File a. Calculate the covariance between the variables. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Answers
Answer:
The covariance between the variables is 21.10 and the Correlation coefficient is 0.9285.
Step-by-step explanation:
Hence,
Evaluate the function.
f(x)=2x^2+8x
Find f(−1)
PLease help!
a:-10
b:-6
c:6
d:10
Answers
Answer:b
Step-by-step explanation:
The graph below does not represent a function. Explain why.
Answers
Notice how points T and Z are vertically aligned, or vertically lined up. This is where the graph fails the vertical line test.
The input x = 2 leads to the outputs y = 3 and y = 5 (which are the y coordinates of points Z and T in that order).
A function is only possible when any given input leads to exactly one output only. It would be like saying "the conversion function from Celsius to Fahrenheit has 0 degrees C convert to both 32 degrees F and 50 degrees F at the same time". But such a statement makes no sense and it's not useful. So this is one example of why having one output makes sense for a function.
In short, we need one output for any given input. But the input x = 2 leads to more than one output. That's why we don't have a function.
HELP QUICK! WILL GIVE BRAINLIEST ANSWER!!
Answers
Answer:
x = 22 degree
Step-by-step explanation:
40 + 5x + 30 = 180 degree (being linear pair)
5x + 70 = 180
5x = 180 - 70
x = 110/5
x = 22 degree
GIVING OUT BRAINLIEST PLUS 10 PTS
Answers
Answer:
Letter B
Step-by-step explanation:
I used a graphing calculator,
Hope this helps
What is the slope of the line?
Answers
Answer:
3/1
Step-by-step explanation:
Answer:
[tex]-3[/tex]
Step-by-step explanation:
The slope of the line is -3 because to get to one point from another point, you would need to go down 3 and right 1 which is -3/1, and that is also just -3
Hope this helps
Answer this math gods
Answers
Answer:
y = 4x^2
Hope that this helps!
∑_(n=1)^∞▒〖( 1/2 )〗^2n
Answers
Answer:
The series converges to [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
It seems to be this series:
[tex]$ \sum_{n=1}^{\infty} \left(\dfrac{1}{2} \right)^{2n}$[/tex]
We have
[tex]$ \sum_{n=1}^{\infty} \left(\dfrac{1}{2} \right)^{2n} = \sum_{n=1}^{\infty} \left(\dfrac{1}{4} \right)^{n}$[/tex]
Using the Root test we can see that this series converges once
[tex]$ \lim_{n \to \infty} \sqrt[n]{|a_n|} < 1 \implies \sum_{n=1}^{\infty} a_n \text{ is convergent}$[/tex]
Then, [tex]$\lim_{n \to \infty} \sqrt[n]{\left(\dfrac{1}{4} \right)^{n}} = \lim_{n \to \infty} \dfrac{1}{4} = \dfrac{1}{4} < 1$[/tex]
The series is convergent.
Once the series is geometric, the first term is [tex]\dfrac{1}{4}[/tex] and the ratio is also [tex]\dfrac{1}{4}[/tex] in this case.
The sum of infinite geometric series is [tex]S = \dfrac{a_1}{1-r}[/tex] such that [tex]r < 1[/tex]
[tex]\therefore S = \dfrac{\frac{1}{4} }{1-\frac{1}{4}} = \dfrac{1}{3}[/tex]
Find the slope of the line through the points (−18,−12) and (0,8).
Answers
Answer:
9/10
Step-by-step explanation:
y2-y1÷x2-x1
-18-0/-12-8
-18/-20
9/10
Answer:10/9
Step-by-step explanation:You do y2-y1 over x^2-x^1 and you get 10/9
What is the other number to this math equation?
Answers
Answer:
You need to ask yourself what times 20 gives you 600. Then ask yourself what times 20 gives you 160. Then that will give you your answer.
Step-by-step explanation:
(x-2)(-5x^2+x)=(x)(-5x^2)+(x)(x)+(-2)(-5x^2)+(-2)(x) is an exsample of
Answers
this is an example of linear equations is one variable
Which angels are corresponding angles? Check all that apply
Answers
Answer:
Only A and B.
Step-by-step explanation:
Corresponding angles are angles in the same position and are the same size. The others are wrong as they are not the same sizes or are not the same
One kilogram equals 2.2 pounds. If a paitent weighs 79.5kg, his weight is what in pounds?
Answers
Answer:
174.9
Step-by-step explanation:
since 1 kg is 2.2 lbs
79.5 times 2.2
they weight 174.9 lbs
Answer:
174.9 pounds
Step-by-step explanation:
Create a proportion where x is his weight in pounds:
[tex]\frac{1}{2.2}[/tex] = [tex]\frac{79.5}{x}[/tex]
Cross multiply:
x = 79.5(2.2)
x = 174.9
So, his weight in pounds is 174.9 pounds
−12 as a ratio of two integers.
Answers
Answer:
-12 can be written as the ratio of -24 and 2, for example.
Step-by-step explanation:
Ratio of a to b:
The ratio of a to b is given by the division of a by b, that is:
[tex]r = \frac{a}{b}[/tex]
−12 as a ratio of two integers.
Here, we want any division in which the result is -12. One example is:
[tex]-12 = \frac{-24}{2}[/tex]
-12 can be written as the ratio of -24 and 2, for example.
Solve the equation 2x2 + x - 41 =
- 15 to the nearest tenth.
I neeeddd
HEEEELPPPP
Answers
Answer: 22
Step-by-step explanation: 2x2 + x -41= -15
* 4 + x -41= -15
* x -37= -15
* x= 22
• carry over -15
2 x 2 + x - 41 + 15 = 0
• solve 2 x 2
4 + x - 41 + 15 = 0
• rearrange
x + 4 - 41 + 15 = 0
• solve
x - 22 = 0
x = 22
hope this helped :)
Kenneth did of 1/3 of his laundry on Sunday and 7/15 of his laundry on monday. what fraction of laundry did kenneth do in total?
Answers
4/5
Therefore the answer is 4/5. So Kenneth did 4/5 of his laundry in total.
Hope this helps!
It is 15. 1/3 turns into 5/15, because
3x5 = 15 & 5x1 = 5
There equaling 5/15
5/15 + 7/15 = 12/15
Both are divisible by 3
3 goes into 12, 4 times
3 goes into 15, 5 times
Giving you the final answer of 4/5
Find the volume of a rectangular solid with the given dimensions: length 8 feet, width 17 feet, height 10 feet. What is the volume?
Answers
Answer: 1360 cubic meter
Step-by-step explanation:
Volume of solid= Length*width*height
=8*17*10
=1360 cubic meter
PLEASE I NEED THE CORRECT ANSWER ILL GIVE BRAINLISET 100 students are interviewed to see which of biology, chemistry or physics they prefer.
22 of the students are girls. 6 of the girls like biology best.
23 of the boys prefer physics.
14 out of the 32 who prefer chemistry are girls.
What percentage of the students prefer biology?
Answers
can anyone please help me with this?
Answers
Answer:
I believe that It would be b
HELP ASAP
The highest Common Factor of two prime numbers is 1. *
Is that true or false???
Answers
Answer:
True
Step-by-step explanation:
For example:
HCF of 2 and 3 is 1
Answer:
true
Also i need help with
https://brainly.com/question/24136412?answeringSource=feedPublic%2FhomePage%2F1
The function h(x) is a transformation of the square root parent function,
f(x) = V2. What function is h(x)?
Answers
Answer:
[tex]h(x) = \sqrt{x+5}[/tex], option C.
Step-by-step explanation:
The parent function is [tex]f(x) = \sqrt{x}[/tex]
Function h:
Function h is function f shifted left 5 units.
Shifting a function f a units to the left is the same as finding [tex]f(x+a)[/tex]
Thus:
[tex]h(x) = f(x+5) = \sqrt{x+5}[/tex]
The function is [tex]h(x) = \sqrt{x+5}[/tex], and thus, the correct answer is given by option C.
Answer:
c
Step-by-step explanation:
f(x) = 4x² + 3x - 2 g(x) = 6x³ - 3x²-4 Find (f +g) (x)
Answers
Answer:
6x^3+x^2+3x-6
Step-by-step explanation:
f(x) = 4x² + 3x - 2
g(x) = 6x³ - 3x²-4
(f +g) (x) =4x² + 3x - 2+6x³ - 3x²-4
Combine like terms
=6x^3+4x^2-3x^2+3x-2-4
=6x^3+x^2+3x-6
if 4,1,2 in middle is 21
if 2,1,4 in middle is 16
then 1,4,2 what is number in middle?
Answers
Answer:
5
Step-by-step explanation:
21-16=5
hope it helps!!
is this an Olympiad qn?
How much would the combined production of pineapples increase for the two islands due to trade? How much would the combined production of pearls increase?
Answers
Step-by-step explanation:
find the coordinate of the foot of the perpendicular from(4,-2) to the line 2x-3y-4=0
Choose the correct Set-builder form for the following set written in Roster form: { − 2 , − 1 , 0 , 1 , 2 }
Answers
Step-by-step explanation:
{x:x is an integer where x>-3 and x<3}
what is the median of 66 69 68 69 70 70.
Answers
Rachel is driving to visit her mother, who lives 250 miles away. How long will the
drive be, round-trip, if Rachel drives at an
average speed of 40 mph?
Answers
Answer:
Time for a round trip = 12.5 hours
Step-by-step explanation:
Mother's house = 250 miles
Total distance for the round trip = 250 + 250 = 500 miles
Given speed = 40 mph
Find time .
[tex]Speed = \frac{distance }{Time }\\\\Time = \frac{distance }{speed } = \frac{500}{40} \\\\Time = 12.5 \ hours[/tex]
Sadie brought $28.00 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/3 as much as the sketchbook, and the sketchbook cost 1/2 the cost of the paint set. Sadie had $3.00 leftover after buying these items. What was the cost of each item?
Answers
Answer:
cost of paint set = $ 13.64
cost of sketch book = $ 6.82
cost of brush = $ 4.55
Step-by-step explanation:
Let the cost of paint set is s.
cost of sketch book = s/2
cost of brush = s/3
Money spent = $ 28 - $ 3 = $ 25
So,
s + s/2 + s/3 = 25
6 s + 3 s + 2 s = 150
11 s = 150
s = $ 13.64
cost of paint set = $ 13.64
cost of sketch book = $ 6.82
cost of brush = $ 4.55
Expresa los siguientes números sin potencia de base 10
Answers
Answer:
no se guey..... pero gudluc
Can someone answer this please
Answers
Answer:
[tex]336m^2[/tex]
Step-by-step explanation:
[tex]6*8=48[/tex]
[tex]10*12=120[/tex]
[tex]8*12=96[/tex]
[tex]6*12=72[/tex]
Add all these up
[tex]48+120+96+72=336[/tex]
Hope this helps
