help me please
Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step.
Answers
First clear the bracket of the inner fraction's numerator. This would allow you to reduce the inner fraction to lowest terms.
Given the expression
[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]
In order to simplify, note that the numerator and denominator of the fraction
[tex]\frac{(2r^2t)^3}{4t^2}[/tex]
have common factors. So, we would first remove the bracket in the numerator. This would allow us to reduce the fraction to lowest terms.
To clear the numerator's bracket, note that
[tex](2r^2t)^3=(2r^2t)\times(2r^2t)\times(2r^2t)\\=(2\times2\times2)\times(r^2\times r^2\times r^2)\times(t\times t\times t)\\=8\times r^6 \times t^3=8r^6 t^3[/tex]
that was long. The shorter way was to do the following
[tex](2r^2t)^3=2^3\times r^{2\times3}\times t^3=8r^6t^3[/tex]
so back to the original question, to simplify
[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]
we would do
[tex](\frac{(2r^2t)^3}{4t^2})^2=(\frac{2^3r^{2\times3}t^3}{4t^2})^2\\\\=(\frac{8r^6t^3}{4t^2})^2[/tex]
Now that we have removed the bracket from the numerator, we can now accomplish the step of reducing the fraction to lowest terms
[tex](\frac{8r^6t^3}{4t^2})^2=(\frac{8}{4}\times r^6\times \frac{t^3}{t^2})^2\\=(2\times r^6\times t^{3-2})^2\\=(2\times r^6\times t^1)^2\\=(2r^6t)^2[/tex]
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Related Questions
Conducting numerous, separate statistical analyses increases the chance that one or more of the results appear to be statistically significant, but are actually attributable to random variation or measurement error. The problem is referred to as:
Answers
A family-wise inflation of error rate is the increase in the probability that one or more results of a numerous, independently (separately) conducted statistical analyses to become statistically significant, but these results can actually be attributed to random variation or measurement error.
In Statistics, a family-wise inflation of error rate is also referred to as family-wise error rate (FWER) and it can be defined as the probability of making at least one false conclusion or type I errors in numerous, separate statistical analyses or hypothesis tests.
Hence, a family-wise inflation of error rate increases the probability that one or more of the results among groups within an independent data set to be statistically significant, especially due to random variation or measurement error.
Read more: https://brainly.com/question/22851088
I am a decimal number between 0.3 and 0.5. The digit in my hundredths place is 5 greaterthan the digit in tenths place, if the number in tenths place is 4 what will be the number?
Answers
Answer:
0.4
Step-by-step explanation:
it's between 0.3 and 0.5 and the number in tenth is 4 so the answer is 0.4
464.93 to the nearest millions
Answers
Answer:
It can not be rounded to the nearest millionths bc there is not millionths place in the decimal
Step-by-step explanation:
-8 less than a number is no more than 12
Answers
Answer:
-8 < x ≤ 12
Step-by-step
-8 less than a number would give you
-8 <
a number no more than 12 would give you
x ≤ 12
giving x because we dont know what the number is-
so your full anser would be-
-8 < x ≤ 12
Plz help fast I will mark brainliest
Answers
can someone pls help me
Answers
Answer:
The independent variable is the week's, the dependent variable is the height in inches.
Step-by-step explanation:
The independent variable is the variable that when changed, something changes because of it. So for example, for plant A, in 2 weeks (independent) thevplant will grow 2 inches (dependent). The dependent variable is the variable that changes because of the independent.
Extra Information is below
Y-intercept: The y-intercept is when the line crosses with the line when the x-axis is 0. For example, plant B is by 0 weeks, it was 4 inches. The y-intercept will be 4 inches because that is where the plant started before any change in the independent variable.
Slope: Y = mx + b. To get the answer for this equation, you first need to find out the constant, the constant if we're using plant A, is 6. The constant is also the y-intercept. The equation will look like Y = mx + 6. The m is the number that when multiplied with the independent variable, then added with the constant, you get y. The m for plant A is 1, the equation should look like y = 1x + 6. Now change the x with the independent variable in the table. The independent variable is 2, so y = 1(2) + 6, y = 2 + 6, y = 8.
I would appreciate if you answered!
Answers
Answer:
None of those options
Step-by-step explanation:
I just did the work myself and even ran it through a calculator but the correct answer isn't one of those options. Here's my work:
[tex]-\frac{5}{6} =z+\frac{1}{8}\\-\frac{5}{8}-\frac{1}{8}=z\\-\frac{40}{48}-\frac{6}{48}=z\\-\frac{46}{48}=z\\-\frac{23}{24}[/tex]
I'd contact you teacher about that...it might be an error in their system (it's happened to me a few times before where the correct answer is marked as incorrect or isn't even an option)
What single decimal multiplier would you use to decrease by 19% followed by
a 10%
Increase
Answers
Answer:
1.26 is the single decimal multiplier
Step-by-step explanation:
Answer:
Answer: 1.26 is the single decimal multiplier.
Step-by-step explanation:
Tommy and his friend went to go buy pie at Delicious Orchards. After paying seven dollars for the pie, Tommy
has ninety-five dollars left, his friend has forty dollars. How much money did Tommy have before buying the
ple.
Answers
Answer:
$102
Step-by-step explanation:
if Tommy spent 7 dollars on pie, that means he had more money than that amount before.
So before he spent 7 dollars, he had those 7 dollars.
Add 7 with 95
95 + 7 = 102
What is the equation of the line that passes through the point (2,-6)(2,−6) and has a slope of -1−1?
Answers
Answer:
y=-x-4
Step-by-step explanation:
A dog has a litter of three male pups and
five female pups. What percent of the pups
in the litter are male?
Answers
Answer:
3 is 37.5% of 8 so the answer is about 37%
Step-by-step explanation:
Answer:
37.5%
Step-by-step explanation:
Three male and five female.
So, we need to find out the mall.
We can divide this out of 8.
3/8 and 5/8.
Male - 37.5%
Female - 62.5%
Help very quick ! thank youuuuuuuuuuuuuu
Answers
hope this helps
She spent 2 hours and 45 minutes.
Question 4 Objective: Apply properties of squares to solve mathematical and real-world problems. The perimeter of a square is 116 cm. What is the approximate length of its diagonal?
help
Answers
Answer:
41.01 cm
Step-by-step explanation:
Answer:
41.0 cm
Step-by-step explanation:
The side length is 1/4 the length of the perimeter.
s = P/4
The diagonal length is √2 times the side length.
d = s·√2
Then the diagonal is ...
d = (P/4)√2 = (116 cm)(√2)/4 ≈ 41.01 cm
The diagonal is about 41.0 cm long.
*100 POINTS* *100 POINTS*
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
Answers
Answer:
y = - 1/3x - 5Step-by-step explanation:
Use two given points (-6, -3) and (6, -7) to find equation of the line.
The slope:
m = (y₂ - y₁)/(x₂ - x₁) = (-7 - (-3)) / (6 - (-6)) = -4 / 12 = - 1/3The y - intercept is also visible on the graph (0, -5):
b = -5The line is:
y = - 1/3x - 5Answer:
[tex] \huge{ \boxed{y = - \frac{1}{3} x + 1}}[/tex]
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the graph to find the equation of the line we must first find the slope
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
Using the points (-6 , -3) and (6,-7) we have
[tex]m = \frac{ - 7 - - 3}{6 - - 6} = - \frac{4}{12} = - \frac{1}{3} \\ [/tex]
Next we use the slope that has been found and one of the points to find the equation of the line
To find an equation of a line when given the slope and a point we use the formula
y - y1 = m(x - x1)
where
m is the slope
( x1 , y1) is the point
From the question using slope -1/3 and point (-6,3) we have
[tex]y - 3 = - \frac{1}{3} (x - - 6) \\ y - 3 = - \frac{1}{3} (x + 6) \\ y - 3 = - \frac{1}{3} x - 2 \: \: \: \\ y = - \frac{1}{3} x - 2 + 3 \: \: [/tex]
The equation of the line in slope-intercept form is
[tex]y = - \frac{1}{3} x + 1 \\ [/tex]
Hope this helps you
2/7 x (-7/9) xdx lel'jobrfjb13rgifj2noinf ehelp
Answers
A factory produces pop-its at a constant rate. After 4 hours, 3,120 pop-its have been produced. What is the unit rate? (must show work)
Answers
Answer:
780
Step-by-step explanation:
divide 4 from 3120 to find how many pop-its are made per hour/ unit rate
What is the equation of the line that passes through points (10,6) and (2,2) ?
Answers
Answer:
y = (1/2)x + 1
Step-by-step explanation:
y = mx + b
m = slope = (y2 - y1)/(x2 - x1) = (6 - 2)/(10 - 2) = 4/8 = 1/2
y = (1/2)x + b
Use point (2, 2) to find b.
2 = (1/2)(2) + b
2 = 1 + b
b = 1
Equation: y = (1/2)x + 1
what is -18 1/2 plus 27 3/5?
Answers
Step-by-step explanation:
so if I did it wrong
Auntie Anne raked leaves for
more than 10 minutes but less
than 40 minutes. The number
of minutes is a multiple of 5.
The digits add up to 7. For
how long did Anne rake?
Answers
The time taken by auntie Annie to rake is 25 minutes.
What is inequality?
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions is called inequality.
Let the time taken by auntie Anne to rake be ab minutes.
Now, according to the given question.
Auntie Anne situation is represented by an inequality
10 < ab <40
Since, it is given that sum of the digits of time taken by Anne to rake is 7.
⇒ a + b = 7
Also, ab is a multiple of 5.
Now,
When, a = 4 and b = 3 (or vice-versa)
4 + 3 = 7 but 43 is not a multiple of five.
When, a = 6 and b = 1 ( or vice versa)
6 + 1 = 7, but 61 is not a multiple of five.
When, a = 2 and b = 5 (or vice versa)
2 + 5 = 7 and 25 is multiple of 5.But 52 is not a multiple of 5.
Also, 25 is less than 40 and greater than 10.
Therefore, the time taken by auntie Annie to rake is 25 minutes.
Find out more information about inequality here:
https://brainly.com/question/20383699
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If I saved 100 dollars every week from now until June how much money will I have ?
Answers
Answer:
2800 dollars probably because it's about 28 weeks and 2 days from now to June so if you multiply 100 by 28 the answer is 2800$
Answer:
Now we're the 14th of Nov 2021. The first week of June 2022 is in 28 week from now, so it's 100 dollars x 28 weeks = 2800 dollars
WILL GIVE BRAILIEST, HELP! :(
Land in Wisconsin is for sale to property investors. A 232 acre lot is listed for sale for 200,500, assuming the same price what size lot could you purchase at 100,000?
-120 acres
-182.9 acres
-115.72 acres
-120.71 acres
Answers
Answer:
115.72 acres
Step-by-step explanation:
232/200,500 = 0.001157
100,000*0.001157 = 115.7 acres
if there are 60 millions barrels and 34% gas and 29% diesel how many barrels are there total
Answers
Answer:
gas barrels = 20,400,000
diesel barrels = 17,400,000
other barrels = 22,200,000
Step-by-step explanation:
Total barrels = 60,000,000
gas = 34% of the barrels
diesel = 29% of the barrels
others = 37% of the barrels 100% - 34% - 29% = 37%
How many of each type of barrels?
60,000,000 × 34% = gas barrels ; 60,000,000 × .34 = 20,400,000
60,000,000 × 29% = diesel barrels; 60,000,000 × .29 = 17,400,000
60,000,000 × 37% = other barrels; 60,000,000 × .37 = 22,200,000
Check: Total barrels 60,000,000 = 60,000,000
find the length of x in the figure below. round your answer to 3 significant figure
Answers
Answer:
where is the figure? or tell us the area and width of the figure
The picture shows $40.50 that two friends earned mowing a lawn.
They want to share the money equally.
Drag the money below to show how much each friend will get.
Answers
Answer:
Each friend gets $20.25
So $20.25 each
Factor the expression
n^2-15n+56
Answers
Answer:
(n-8)(n-7) this is the answer I hope it helped you
Answer:
(x - 7)(x - 8)
Step-by-step explanation:
Factor this into the form:
(x +/- a)(x +/- b)
As the third term is a positive and the second is negative, we know that the two operators are subtract:
(x - a)(x - b)
Find the factors of 56:
1 56
2 28
4 14
7 8
The two factors we need will add up to 15, so this is 7 and 8. This means the factor form is:
(x - 7)(x - 8)
Hope this helps!
Rewrite the following equation in slope-intercept form.
y − 3 = 12( x + 4)
Answers
Answer:
y=12x+51
Step-by-step explanation:
1 + 1 PLEASE HELP AN EXPERT CANT EVEN ANSWER THIS
Answers
Answer:
1+1=2!!!!!!!!
YAY HAHAHAHAHAHA
What is linear algebra.
Answers
Answer:
Linear algebra is flat differential geometry and serves in tangent spaces to manifolds.
Step-by-step explanation:
Linear algebra is the study of lines and planes, vector spaces and mappings that are required for linear transforms. It is a relatively young field of study, having initially been formalized in the 1800s in order to find unknowns in systems of linear equations.
Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations. Techniques from linear algebra are also used in analytic geometry, engineering, physics, natural sciences, computer science, computer animation, and the social sciences (particularly in economics).
(c) Ada is x years old and Bill is y years old.
Last
year,
Bill was 6 times as old as Ada.
(1) Form an equation in x and y and show that it simplifies to y = 6x - 5.
Answers
Using a system of equations, it is found that the simplified equation is y = 6x - 5.
Ada is x years old.Bill is y years old.Last year, Ada was x - 1 years old and Bill was y - 1 years old.
Bill was 6 times as old as Ada, hence:
[tex]y - 1 = 6(x - 1)[/tex]
[tex]y - 1 = 6x - 6[/tex]
[tex]y = 6x - 6 + 1[/tex]
[tex]y = 6x - 5[/tex]
The simplified equation is y = 6x - 5.
For a similar problem, also involving a system of equations, you can check https://brainly.com/question/13773803
What is the value of x in the equation 5x(34+20) =36
Answers
Answer:
x=3.6
Step-by-step explanation:
parentese first so add 34+20= 54
5x54=36
-54=-54
5x= -18
5x/5x -18/5x
x= 3.6
