[tex]\frac{x^{-3}y^{12}}{x^{15}y^{-15}}[/tex] shows the correct step that is from the simplification from the given expression [tex][\frac{xy^4}{x^{-5}y^5}]^3[/tex]. Option d is correct.
Simplification is defined as the solution making tendency to expressions.
Here, expression [tex][\frac{xy^4}{x^{-5}y^5}]^3[/tex]
Multiply the whole power 3 in the square bracket.
Gives,
⇒[tex]\frac{x^{-3}y^{12}}{x^{15}y^{-15}}[/tex]
Thus, [tex]\frac{x^{-3}y^{12}}{x^{15}y^{-15}}[/tex] shows the correct step that is from the simplification from the given expression [tex][\frac{xy^4}{x^{-5}y^5}]^3[/tex].
Learn more about simplification here:
https://brainly.com/question/8675627
#SPJ2
A computer simulation tossed a 10-faced die 5 times. How many possible outcomes exist? 9,765,625 100,000 252 100
Answer:
Possible outcomes in tossing a 10-faced die 5 times is:
100,000
Step-by-step explanation:
A computer simulation tossed a 10-faced die 5 times.
Number of outcomes in each throw=10
Number of outcomes in 2 throws
=Number of outcomes in first throw×number of outcomes in second throw
=10×10
= 100
Hence, Number of outcomes in 5 throws
=10×10×10×10×10
=100,000
Possible outcomes in tossing a 10-faced die 5 times is:
100,000
A ball is thrown from an initial height of 1 meter with an initial upward velocity of 13 m/s. The ball's height h (in meters) after t seconds is given by the following.
h=1+13t-5t^2
Find all values of t for which the ball's height is 8 meters.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
For t=1.84 and t=0.76 the ball's height is 8 meters in equation h=1+13t-[tex]5t^{2}[/tex].
What is equation?An equation is a relationship between two or more variables expressed in equal to form. Equation of two variables look like ax+ by=c. It is solved in order to find the values of variables.
How to solve equation?We have been given an equation h=1+13t-[tex]5t^{2}[/tex] and we have to find the values of t for which h=8.
So,
1+13t-[tex]5t^{2}[/tex]=8
[tex]-5t^{2}[/tex]+13t+1-8=0
[tex]-5t^{2}[/tex]+13t-7=0
Removing negative signs.
[tex]5t^{2}[/tex]-13t+7=0
We cannot solve through factorization so e use the following formula:
x=-b+-[tex]\sqrt{b^{2} -4ac}/2a[/tex]
t=(13+-[tex]\sqrt{-13^{2} -4*5*7}[/tex])/2*5
t=(13+-[tex]\sqrt{169-140}[/tex])/10
t=(13+5.38)/10, (13-5.38)/10
t=1.838, 0.762
By rounding off to nearest hundred t=1.84, 0.76.
Hence value of t for which h=8 meters are 1.84 and 0.76.
Learn more about equations at https://brainly.com/question/2972832
#SPJ2
Find the value of the variable and DF if D is between C and F if CD 4y -9, DF 2y-7, and CF 14.
Aiko stands 5 m from a tree. At that distance, the angle of elevation from the ground to the top of the tree is 80°. Approximately how tall is the tree?
Help please..........,.,,,
what is the least common multiple of X and Y? X=2*2*2*2 Y=2*2*2*3
Find two consecutive positive integers such that thw sqaure of the first decreased by 25 equa;s three times the second
P(A)=25,P(B|A)=920,P(A∩B)=?
We use the product rule in probability to find P(A∩B) = P(B|A) * P(A). Substituting given values, P(A∩B) = (9/20) * 25, which equals 11.25.
Explanation:The subject area of this question is probability, a topic within mathematics. Here, we are asked to find the intersection of Events A and B given the probabilities of A and the conditional probability of B given A. The rule of product in probability states that P(A∩B) = P(B|A) * P(A).
Let's calculate: P(B|A) is given as 9/20 while P(A) is 25. Thus,
P(A∩B) = P(B|A) * P(A) = (9/20) * 25 = 11.25
Learn more about Probability here:https://brainly.com/question/32117953
#SPJ12
If F(theta)=tan theta=3, find F(theta+pi)
10 POINTS!!! TO ANSWER CORRECTLY AND BRAINLIEST!!!!
Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum.
Convert 48°36'12" to the nearest thousandth of a degree
48 degrees remains
divide minutes by 60
36/60 = 0.6
then divide seconds by 3600
12/3600=0.003 ( to nearest thousandth)
now add them all up
48 +0.6 + 0.003 = 48.603 degrees
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2-3x-3=0
PLEASE HELP ME!!!!
Part A: Amir rented a scooter at $43 for 3 hours. If he rents the same scooter for 8 hours, he has to pay a total rent of $113.
Write an equation in the standard form to represent the total rent (y) that Amir has to pay for renting the scooter for x hours.
Part B: Write the equation obtained in Part A using function notation.
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.
Answer:
Step-by-step explanation:
Part A: The two points that represent this situation are (3,43) and (8,113). To put this in standard form, I will first find the slope-intercept form. I did this in the image below.
Now, to find the standard form I will rearrange, 14x -y +1 = 0.
Part B: To put this in function notation I simply take my slope-intercept equation of y=14x+1, and replace y with f(x) so, f(x)=14x+1
Part C: To graph this, put the y, intercept at 1, and give the line a slope of 14/1. Label the x-axis with hours, from 0 - 8, and the y-axis with dollars, from 0-150.
Rewrite the rational exponent as a radical.
5 to the 3 over 4 power, to the 2 over 3 power
A.the cube root of 5 squared
B. the twelfth root of 5
C. the square root of 5
D.the cube root of 5 the fourth power
Find the missing factor n(n-3)+2(n-3)=() (n-3)
for which of the following numbers does 5 appear in the tens place ?
*check all that applies*
a. 125.634
b. 56.89
c. 1250
d. 3.5
e. 92.57
Please check my work!
Help!!!!! Identify KPN
Answer:
it is 70
Step-by-step explanation:
I guessed and got it right, lol
The question is "Find the number of elements in the following sets"
I sort of get it but it docks me points every time I get it wrong so I don't want to risk it
how to solve 46.2 x 10 with a negative 2 exponent
decimal fundamentals
add 729.3 + 3.4006
Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = −1.
Answer: D
Step-by-step explanation: took the test
Tobius is going to climb a ladder to reach and fix a piece of siding located 30 feet above the ground on the building. If he places the ladder at a 60° angle with the ground, about how long is the ladder?
The height of the ladder will be;
⇒ 20√3 feet
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Tobius is going to climb a ladder to reach and fix a piece of siding located 30 feet above the ground on the building.
And, He places the ladder at a 60° angle with the ground.
Now,
Let the height of the ladder = h
So, We can formulate;
⇒ sin 60° = 30/h
⇒ √3/2 = 30/h
⇒ h = 30 × 2/√3
⇒ h = 20√3
Thus, The height of the ladder = 20√3 feet
Learn more about the triangle visit:
https://brainly.com/question/17335144
#SPJ3
D: y> -1/3 x+1 helpppp
The population of a species of rabbit triples every year. This can be modeled by f(x) = 4(3)x and f(5) = 972. What does the 4 represent? (1 point) The starting population of the rabbits The population of the rabbits after five years The rate the population increases The number of years that have passed
Answer: The starting population of the rabbits
Step-by-step explanation:
Given: The population of a species of rabbit triples every year. This can be modeled by f(x) = 4(3)x and f(5) = 972.
We know that the exponential growth function is given by :-
[tex]f(x)=Ab^x[/tex], where A is the initial amount and b is the multiplicative rate of change in time x.
As compared to the given exponential function, we have
A=4
Therefore, 4 represents the starting population of the rabbits
if <6 = <10 and <5 = <7, which describes all the lines that must be parallel?
F a company provides 1 1/4 vacation days to its employees every month, how many vacation days does an employee get every year?
1 1/4 per month
12 months per year
1 1/4 * 12 =
5/4 * 12/1 = 60/4 = 15
they get 15 days per year
If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?
A. (2, 1)
B. (1, 1)
C. (0, 1)
The point that lie on the line is:
B. (1,1)
Step-by-step explanation:We are given that a line passes through the point (0,-1) and has a slope of 2.
We know that the equation of a line passing through (a,b) and having slope m is given by:
[tex]y-b=m(x-a)[/tex]
Here we have: (a,b)=(0,-1) and m=2
This means that the equation of line is:
[tex]y-(-1)=2(x-0)\\\\y+1=2x\\\\y=2x-1[/tex]
Now we will check which option is true.
A)
(2,1)
when x=2
we have:
[tex]y=2\times 2-1\\\\\\y=4-1\\\\\\y=3\neq 1[/tex]
Hence, option: A is incorrect.
B)
(1,1)
when x=1
we have:
[tex]y=2\times 1-1\\\\\\y=2-1\\\\\\y=1[/tex]
Hence, option: B is correct.
C)
(0,1)
when x=0
we have:
[tex]y=2\times 0-1\\\\\\y=0-1\\\\\\y=-1\neq 1[/tex]
Hence, option: C is incorrect.
Determine whether the sequence converges or diverges. If it converges, give the limit.
11, 44, 176, 704, ...
20 POINTS PLUS BRAINLIEST!!!
Which function is represented in the table of values?
x 0 -1 -2 -3
y 2 4 8 16
A.
y=2^x
B.
y=2(1/2)
C.
y=-2^x
D.
y=(1/2)^x