Answers
Answer: 2y124√y12
How to: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Have a great day and stay safe !
9514 1404 393
Answer:
[tex]2\cdot y^{\frac{5}{8}}[/tex]
Step-by-step explanation:
The applicable rules of exponents are ...
[tex](a^b)^c=a^{bc}\\\\(ab)^c=a^c\cdot b^c\\\\\sqrt[n]{x^m}=x^{\frac{m}{n}}[/tex]
__
So, the given expression can be rewritten to ...
[tex](4\sqrt[4]{y^5})^{\frac{1}{2}}=(4^{\frac{1}{2}})(y^{\frac{5}{4}})^{\frac{1}{2}}= 2\cdot y^{\frac{5}{4}\cdot\frac{1}{2}}=\boxed{2\cdot y^{\frac{5}{8}}}[/tex]
_____
k = 2; n = 5/8
Related Questions
what is 1+1-(3x3)-(1x9)
Answers
The answer is -16
i will privetely give 50 point to anyone who solves this correctly
Ms. White invests
$
2000
in a savings plan. The savings account pays an annual interest rate of
5.75
%
on the amount she puts in at the end of each year. How much will be in her savings plan at the end of
10
years?
Answers
Answer:
$3498.11 at the end of 10 years.
Step-by-step explanation:
2000 + 0.0575*2000*10 = 3150 dollars at the end of 10 years.
1/6 + 2/3 + 36 (help plz)
Answers
plz help 5th grade work
Answers
Answer:
81 , 24 AND 108
Step-by-step explanation:
While in flight, some hummingbirds can flap their wings about 500 times in 10 seconds
Answers
Is this a true or false?
Answer:
50 times in 1 second
Step-by-step explanation:
I don't know what your specific question, but I'm guessing you wanted divide to see how many times they flap their wings in 1 second. :)
A circle has a diameter of 8.2 m. What is the area of a sector with a 125 degree
arc? Round your answer to the nearest tenth. *
Answers
Answer:24.2 m
Step-by-step explanation: yea u gotta use the metric system
find the degree measure of angle HRP?
Answers
Explanation:
Angle EPN = 40°
But EPN = HRP (corresponding angle)
Because EP//HR
Therefore EPN = HRP = 40°
An auto assemply worker requires 4 electrical fuses for each vehicle. The supplier of the fuses has informed the plant manager that 5% of all the fuses they produce are defective. Assume that the assembly worker selects the 4 fuses for any vehicle at random and independently of each other. If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses
Answers
Answer:
[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses
Step-by-step explanation:
For each fuse, there are only two possible outcomes. Either they are defective, or they are not. The probability of a fuse being defective is independent of any other fuse. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of a vehicle having all defective fuses:
5% of fuses are defective, which means that [tex]p = 0.05[/tex]
A vehicle has 4 fuses, which means that [tex]n = 4[/tex].
This probability is P(X = 4). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.(0.05)^{4}.(0.95)^{0} = 0.00000625[/tex]
If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses?
For each vehicle, 0.00000625 probability of having all defective fuses. For 2:
[tex](0.00000625)^2 = 3.9 \times 10^{-11}[/tex]
[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses
PLEASE HELP!
THE QUESTION IS IN THE PHOTO!
For What value of x is ABC~DEF?
Answers
Answer:
x=12
Step-by-step explanation:
Since the triangles are congruent, you can use either B or D to solve for x.
7x+10=94
7x=94-10
7x=84
x=84÷7
x=12
One radius of a circle is the same length as any other radius of the same
circle.
A. True
B. False
Answers
A. True
In a circle, all radii have the same length. The radius is the distance from the center of the circle to any point on its circumference. Since the center is equidistant from all points on the circumference, all radii will have the same length. Therefore, the statement is true.
There are 4 blood types, and not all are equally likely to be in blood banks. In a certain blood bank, 49% of
donations are Type O blood, 27% of donations are Type A blood, 20% of donations are Type B blood, and 4% of
donations are Type AB blood. What is the expected number of donations until the first Type AB donation is
received?
02.127
4
O24.495
25
Answers
Answer:
Step-by-step explanation:
they get 4% or 4 out of ever 100. that's 25 for one AB donation.
Jill says that 1 2/3 equals 3:5 is Jill correct
Answers
Answer:
Not true. Actually, 1 2/3 equals 5/3.
Answer: No
Step-by-step explanation:
If we were to change 1 2/3 into an improper fraction, it would be 5/3. This is expressed as 5:3, not 3:5. These two ratios are not the same. Therefore, Jill is not correct.
Hope this helped :)
If y varies directly as x and y = 15 when x=-5, find y when x= 7.
A. -21
B. 21
C. 105
D. -35
Answers
Answer:
A. -21
Step-by-step explanation:
y varies directly as x
y = kx
----------------------
y = 15 when x = -5
Find k, the constant of variation
15 = k(-5)
Divide both sides by -5
-3 = k
k = -3
------------------------------
y when x= 7
using k = -3
y = -3(7)
y = -21
Indicate whether each statement about linear functions A and B shown below is true or false by checking the appropriate box in the table.
TRUE OR FALSE
The rates of change for both Function A and B are positive.
TRUE OR FALSE
The rate of change for Function A is 3 times the rate of change for Function B
TRUE OR FALSE
The y-intercepts for both Function A and Function B are positive.
Answers
Answer: The rates of change for both function A and function B are positive : TRUE
The rates of change for functions A is 3 times the rate of change for function B : FALSE
The y - intercepts for both Function A and Function B are positive : FALSE
Step-by-step explanation:
Work out the mean for the data set below: 5, 3, 3, 6, 2, 5, 2, 4, 7 Give your answer as a fraction in its simplest form.
Answers
Answer:
4 1/9
Step-by-step explanation:
Add all of them together. you get 37. Then divide them by how many numbers. You get 4.111 repeating. I then just turned that into a fraction and got 4 1/9
In the figure, side AB is given by the expression 1 + 3, and side BC is 21 – 4.
The simplified expression for the area of rectangle ABCD is
Answers
Answer:
[tex]\text{Area}=\frac{15(x+1)}{2(x-2)}[/tex]
Step-by-step explanation:
Length of the rectangle given in the picture = [tex]\frac{5x+5}{x+3}[/tex]
Width of the rectangle = [tex]\frac{3x+9}{2x-4}[/tex]
Area of the rectangle = Length × Width
= [tex]\frac{5x+5}{x+3}\times \frac{3x+9}{2x-4}[/tex]
= [tex]\frac{5(x+1)}{x+3}\times \frac{3(x+3)}{2(x-2)}[/tex]
= [tex]\frac{15(x+1)(x+3)}{2(x+3)(x-2)}[/tex]
= [tex]\frac{15(x+1)}{2(x-2)}[/tex]
Therefore, area of the given rectangle is [tex]\frac{15(x+1)}{2(x-2)}[/tex].
256-x²/4
factorise in process
Answers
Answer:
[tex]16^2-(\dfrac{x}{2})^2=(16+\dfrac{x}{2})(16-\dfrac{x}{2})[/tex]
Step-by-step explanation:
The given expression is : [tex]256-\dfrac{x^2}{4}[/tex].
We need to factorize it.
We know that, 16² = 256
So,
[tex]256-\dfrac{x^2}{4}=(16)^2-(\dfrac{x}{2})^2[/tex]
We know that, [tex]a^2-b^2=(a-b)(a+b)[/tex]
[tex]16^2-(\dfrac{x}{2})^2=(16+\dfrac{x}{2})(16-\dfrac{x}{2})[/tex]
Hence, this is the required solution.
Each girl on a cheerleading squad bought a bear. The leader paid for their cheerleading outfits for each of them. She spent $175. Write and solve an equation to find how many cheerleading outfits, c, the leader bought. Cheerleading outfit cost- $12.50
Answers
Answer:
175 ÷ 12.50 = 14
Step-by-step explanation:
Find the range of the data. 45,76,98,21,52,39
Answers
In order to find range, you reorder the numbers from smallest to largest (21 39 45 52 76 98). Then you subtract the smallest number from the largest number and get the answer (98-21=77)
Hope this helps!
I need the answer pls answer
Answers
15*6=90
90*8.5=765
just multiply base the width and the height
15 x 6 x 8.5=765
WHATS THE ANSWER?? ANSWER ASAP
Answers
which is greater? no links pls. 0.04 or -0.39? and -0.6 or 0.5?
Answers
Answer:
0.04 and 0.5
Step-by-step explanation:
Answer:
1. 0.04
2. 0.5
Step-by-step explanation:
The positive choice will be greater.
A community organization wants to determine area support for the construction of a new skate park in the center of town. The organization decides to survey 500 people to see whether they are willing to have their taxes increased for one year to fund the construction of the skate park. What is the best way to randomly choose these 500 people? O Select the first 500 taxpayers listed at the town hall. O Survey the first 500 people who visit the existing skate park. O Assign each taxpayer in town a number and then randomly select 500 of these numbers. O Choose 100 taxpayers from 5 different age groups in town.
PLEASE HELP!!!!
Answers
Answer: I just took the test, and the answer is 'Assign each taxpayer in town a number and then randomly select 500 of these numbers.'
Step-by-step explanation: Happy Pride Month!!
every day amy travels 30 miles one-way to work. The park-and-ride where she catches the train is 5 miles from her home. The average speed of the train is 15 mph faster than the average speed in her car. assuming she has no wait time for the train, her one-way trip takes 45 minutes. Find the speed of the car.
Answers
Answer:
Speed= 0.6666667 miles per hour
Step-by-step explanation:
You can find the average speed of an object if you know the distance traveled and the time it took. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.
Identify the constant of proportionality in the graph.
A) 60
B) 120
C) 180
D) 240
Answers
Answer:
A) 60
Step-by-step explanation:
Find two points that intersect with the grid.
(0,0) and (1, 60)
Subtract the second y value from the first y value. Do the same to the X-values.
Write this as a fraction with the y values over the x-values.
60-0= 60
-------------
1 - 0 = 1
60/1 = 60
help with 6grade math
Answers
36/a
55 - b
18 + c
49d
explanation:
just do what it says
How many solutions does the equation have? 7x +3 - x=3(1 + 2x) (A) 0 (B) 1. (C) infinitely many
Answers
Answer:
C) Infinitely many
Step-by-step explanation:
7x+3-x=3(1+2x)
6x+3=3+6x
Subtract 3 from both sides
6x = 6x
Infinitely many solutions
I need help please urgent
Answers
Answer:
its ok don't worry
Step-by-step explanation:
its a mental answer
how would you move the green shape exactly over the gray shape using the fewest moves? check only necessary moves
Answers
Answer:
C and B
Step-by-step explanation:
Find the value of x UREGENT HELP PLEASE
Answers
Answer:
15.3
Step-by-step explanation:
Cos 32 = x/18
Cos 32 = 0.848048096
x/18 = 0.848048096
x = 15.3 (rounded)