Answer:
Option (d) is correct.
[tex]\sqrt{10000x^{64}}=100x^{32}[/tex]
Step-by-step explanation:
Given : Expression [tex]\sqrt{10000x^{64}}[/tex]
We have to write a simplified form of the given expression [tex]\sqrt{10000x^{64}}[/tex]
Consider the given expression [tex]\sqrt{10000x^{64}}[/tex]
[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0[/tex]
[tex]=\sqrt{10000}\sqrt{x^{64}}[/tex]
Factor 10000 as [tex]10000=100^2[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]
[tex]\sqrt{100^2}=100[/tex]
also, [tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
We have,
[tex]\sqrt{x^{64}}=x^{\frac{64}{2}}=x^{32}[/tex]
Thus, [tex]\sqrt{10000x^{64}}=100x^{32}[/tex]
Answer: D. 100x32
Step-by-step explanation:
Help me with the first question
Brenda needs $40 to buy a large box of chocolate. She has saved $12 and plans to work as a babysitter to earn $7 per hour. Which inequality shows the minimum number of hours, n, that Brenda should work as a babysitter to earn enough to buy the large box of chocolate?
Find the Solution to the system of equations.
A. (1, 4)
B. (4, 1)
C. (0, 3)
D. (4, -1)
The solution to the system of equations represented by the graph is (b) (4,1)
How to determine the solution?The solution to the system of equations is the point of intesection of the equations.
From the graph, the lines intersect at the point
(x,y) = (4,1)
Hence, the solution to the system of equations is (4,1)
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1/12 as a decimal. Long division.
Complete the equation and tell what property you used 16+31=31+16
find the value of x below if necessary round to the nearest tenth.
NEED ANSWER PLEASE HELP
x = 20 x sin(27)
= 9.0798
rounded to nearest tenth = 9.1
The population of a type of local dragonfly can be found using an infinite geometric series where a1 = 65 and the common ratio is 1/6. Find the sum of this infinite series that will be the upper limit of this population.
In order for the data in the table to represent a linear function with a rate of change of –8, what must be the value of m?
A. m = 2
B. m = 3
C. m = 19
D. m = 35
Which is the correct answer???
Answer: The correct option is (C) 19.
Step-by-step explanation: We are given to find the value of m so that the data the table to represent a linear function with a rate of change of –8.
We know that
the rate of change for a linear function with two points (a, b) and (c, d) is given by
[tex]R=\dfrac{d-b}{c-a}.[/tex]
From the table, we note that the points (10, 27) and (11, m) satisfy the given linear function.
So, the rate of change of the linear function will be
[tex]R=\dfrac{m-27}{11-10}\\\\\\\Rightarrow -8=\dfrac{m-27}{1}\\\\\Rightarrow -8=m-27\\\\\Rightarrow m=27-8\\\\\Rightarrow m=19.[/tex]
Thus, the required value of m is 19.
Option (C) is CORRECT.
Hunter bought a package of 24 pencils for $3.12. Write and solve an equation to determine the cost of each pencil in the package
The cost of each pencil in the package is $0.13.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that a Hunter bought a package of 24 pencils for $3.12.
We have to find the cost of each pencil.
Let x be the cost of each pencil.
A pack of 24 pencils is three point one two
24x=3.12
Divide both sides by 24
x=3.12/24
Three point one two divided by twenty four.
x=0.13
Hence, the cost of each pencil in the package is $0.13.
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How many quarts in a gallon
Periodic tune-ups are important because they
Simplify 8(x + 6) - 10. 8x - 4 8x + 28 8x + 38
8x + 38 should be the answer...not sure.
If F(x)=8x, which of the following is the inverse of F(x)
Answer: answer is F^1(x) = x/8
Step-by-step explanation:
A theater company charges $4.50 per ticket for people of all age groups. If c represents the total number of children who bought tickets and a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets? 4.5(c + a) 4.5c + a c + 4.5a 9(c + a)
Answer:
4.5 c+a)
Step-by-step explanation:
One side of a triangle is 15 inches, and the area of the triangle is 90 sq. inches. Find the area of a similar triangle in which the corresponding side is 9 inches.
If 10% of a group ate sandwiches two days in a row, and 40% of the group had a sandwich on the first day, this means that 25% of the group that ate a first sandwich had a second. A. True B. False
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 4 cos 3θ. PLEASE HELP ME SOLVE RN I NEED THIS, ALSO INCLUDE THE PROVING PART.
simplify (4x-4)-3 , pleas help
The range is the set of
A. first coordinates
B. ordered pairs
C. second coordinates
Tim Duncan is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one, and he makes his free throws 72% of the time. What is the probability of Tim Duncan making all of his next 8 free throw attempts?
Answer:
Hence, the probability of Tim Duncan making all of his next 8 free throw attempts is:
[tex](\dfrac{18}{25})^8=0.0722204136[/tex]
Step-by-step explanation:
As the probability of one free throw does not depend on the any other i.e. the probability of each throw is independent.
Hence, the probability of making all of his next 8 free throw is calculated as:
Probability of next 8 free throw=Probability of first free throw×probability o f second free throw×··················× Probability of 8th free throw.
i.e. it is given by:
[tex]Probability=\dfrac{72}{100}\times \dfrac{72}{100}\times \dfrac{72}{100}\times \dfrac{72}{100}\times \dfrac{72}{100}\times \dfrac{72}{100}\times \dfrac{72}{100}\times \dfrac{72}{100}\\\\\\Probability=(\dfrac{72}{100})^8\\\\Probability=(\dfrac{18}{25})^8[/tex]
Hence, the probability is:
[tex](\dfrac{18}{25})^8=0.0722204136[/tex]
We have that the he probability of Tim Duncan making all of his next 8 free throw attempts is mathematically given as
[tex]P=0.72^8[/tex]
From the question we are told
Tim Duncan is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one, and he makes his free throws 72% of the time. What is the probability of Tim Duncan making all of his next 8 free throw attempts?ArithmeticGenerally the equation for the binomial probability is mathematically given as
[tex]P=\frac{n!}{X!(n-X)!}*p^X*(1-p)^{n-X}\\\\Therefore\\\\ P=\frac{8!}{8!(8-8)!}*0.72^8*(1-0.72)^{0}[/tex]
[tex]P=0.72^8[/tex]
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Please answer correct for brainliest
1. Shade in the American prairie as it was in the 1800s on this map, or use the space below the map to describe the location of the American prairie as it was in the 1800s.
Answer:
Step-by-step explanation:
I can't seem to figure it out can someone please help me??
Find the quotient of the quantity [tex]
\frac{4x^3y+12x^2y^3-20xy}{4xy} [/tex].
A.[tex]
x^2+3xy^2+5[/tex]
B. [tex]
x^2+3xy-5[/tex]
C. [tex]
4x^3y+12x^2y^3-5[/tex]
D. [tex]
x^2+3xy^2-5[/tex]
Please tell me how to get the correct answer! Thank you!
Answer:
answer:b
Step-by-step explanation:
we need to factor out the things like in distributive
remember ab+ac=a(b+c)
so
solve
18x^2 -3x -10
What is the smallest solution
In your day-to-day routines, you use math when you go to the grocery store, bank, mall and when cooking. How do you imagine that you will use math in your healthcare career?
Polygons EFHG and E′F′H′G′ are shown on the following coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A polygon EFHG is shown with vertex E on ordered pair 2, 2, vertex F on ordered pair 2, 4, vertex H on ordered pair 3, 5 and vertex G on ordered pair 3, 1. A polygon E prime F prime H prime G prime is shown with vertex E prime on ordered pair negative 1, 2, vertex F prime on ordered pair negative 3, 2, vertex H prime on ordered pair negative 4, 3, and vertex G prime on ordered pair 0, 3. What set of transformations is performed on EFHG to form E′F′H′G′?
Answer:
A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right
Step-by-step explanation:
i took the test
The basement of a large department store features discounted merchandise. Their policy is to reduce the previous month's price of the item by 5 % each month for 6 months, and then give the unsold items to charity. Let Upper S Subscript 6 be the sale price for the sixth month and Upper P the original price. Express Upper S Subscript 6 as a function of Upper P Baseline Number .
What is the 24% of 40?
Identify the initial value and rate of change for the graph shown below.
Initial value: 5.5, rate of change: negative 3 over 4.
Initial value: 4, rate of change: negative 3 over 4.
Initial value: negative 3 over 4., rate of change: 4
Initial value: negative 3 over 4., rate of change: 5.5
Answer:
The initial value is 4 and the rate of change is tex]\frac{-3}{4}[/tex]
Step-by-step explanation:
The initial value is the y intercept of the given line.
Y intercept is the point where the graph crosses y axis
y intercept is (0,4) so initial value is 4
Rate of change is the slope
To find rate of change we use formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Pick two points from the graph
(0,4) and (4,1)
Rate of change = [tex]\frac{1-4}{4-0}=\frac{-3}{4}[/tex]