Answers
Answer:
Choice B
Step-by-step explanation:
Given radical expression:
[tex] \sqrt[4]{1296 {x}^{16} {y}^{12} } [/tex]
To Find:
The Simpler form of this expression
Soln:
[tex] = \sqrt[4]{1296 {x}^{16} {y}^{12} } [/tex]
We could re-write the given expression, according to the law of exponents:
[tex] = \tt \sqrt[4]{(6x {}^{4}y {}^{3}) {}^{4} } [/tex]
Now we need to bring terms out of the radical as:
[tex] \tt = | 6x { }^{4} y {}^{3} | [/tex]
Bring out 6x^4 from the absolute & put y^3 only in it:
[tex] \tt = 6x {}^{4} |y {}^{3} | [/tex]
Choice B is accurate.
Related Questions
If DE = x + 1, EF = 2x, and DF = 10, what is DE
Answers
Answer:
x=3
Step-by-step explanation:
I will assume this is a number line
DE + EF = DF
x+1 + 2x = 10
3x + 1 = 10
3x = 9
x = 3
Find the solutions to the equation below.
Check all that apply.
6x² +7x-5=0
A. x= -2
B. x = 5
C. x = -5/
D. x = 1/1/2
Ex= 1/3
O F.x= -1/3
Answers
x=-5/3 and x=1/2
Step-by-step explanation:
I think you left out some numbers
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth.
Answers
Answer: 6.64
Step-by-step explanation:
[tex]A=\frac{1}{2}(4.7)(3.2)(\sin 62^{\circ}) \approx \boxed{6.64}[/tex]
Sample red box blue standard deviation 3.868 2.933 then complete each statement. the sample size of the session regarding the number of people would purchase the red box, n the sample size of the session regarding the number of people would purchase the blue box n_{2} is the standard deviation of the sample mean differences is approximately
Answers
The confidence Interval is CI = (-1.35, 1.35) and 1.74 is outside of this confidence interval and as such it is statistically significant.
How to find the confidence Interval?Formula for the confidence interval is:
CI = x' ± z(S.E)
where;
x is the mean
z is the critical value.
S.E is the standard error.
We are told that there is no difference between the population and as such; x = 0.
The confidence level is given as 95%.
z-score at 95% confidence level = 1.96.
Standard deviation of the sample mean differences is 0.69. Thus;
S.E = 0.69.
The confidence interval is:
CI = 0 ± (1.96 * 0.69)
CI = (-1.35, 1.35)
1.74 is outside of this confidence interval and as such it is statistically significant.
Complete question is;
I know that the red box has a mean value of 15.11 and the blue box's mean is 16.83. The difference of sample means is 1.74. The red standard deviation is 3.868 and the blue one is 2.933. the standard deviation of the sample mean differences is 0.69. How do I use all this to construct the interval with no difference between the population means.
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In triangle RTS △RTS shown below, point U is on
ST, and point V is on RT so that angle RST UVT∠RST≅∠UVT. If ST=13 VT=5, and RV=13.2, find the length of TU. Figures are not necessarily drawn to scale.
Answers
Answer: 7
Step-by-step explanation:
As [tex]\angle T \cong \angle T[/tex] by the reflexive property, we know that [tex]\triangle RST \sim \triangle UVT[/tex] by AA.
Since corresponding sides of similar triangles are proportional,
[tex]\frac{UT}{5}=\frac{13.2+5}{13}\\UT=(5)\left(\frac{13.2+5}{13} \right)=\boxed{7}[/tex]
What is the line of symmetry for the parabola whose equation is y=x^2-12x+7
Answers
Answer:
x = 6
Step-by-step explanation:
The line of symmetry for the parabola written in the form y=ax²+bx+c is given by the equation x=-b/(2a).
__
Comparing your equation to the above form, we see ...
a=1b=-12c=7Then the line of symmetry is ...
x = -b/(2a) = -(-12)/(2(1)) = 6
The line of symmetry is x=6.
The histogram shows the results of a survey that asked people how many hours of sleep they get each night. Which
statements are true?
Answers
The true statements are
The mean is near the median.
The mean is the best measure of center.
The five-number summary is the best measure of variation
What is a histogram?
A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.
If the mean is greater than the median, the histogram would be skewed to the right. If the mean is less than the median, the histogram would be skewed to the left.
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HELP ASAPP 10 POINTSSSSS
Answers
Answer:
209 cubic mm.
Step-by-step explanation:
Formula for volume of cone:
[tex]V=\frac{1}{3} \pi r^2 h[/tex]
Now let's plug in the values.
[tex]V=\frac{1}{3} \pi 5^2 8[/tex]
[tex]V=\frac{1}{3} \pi 200[/tex]
[tex]V=\frac{200}{3} \pi[/tex]
[tex]V=209.4395...[/tex]
Round to the nearest cubic mm and the volume is 209 cubic mm.
Answer:
209.333
Step-by-step explanation:
→ State the area for the volume for a cone
1/3 × π × r² × h
→ Substitute in the numbers
1/3 × 3.14 × 5² × 8
→ Evaluate
209.333
which of the following statements best describes the meaning of the y intercept of the line-of best fit in the scatter plot?
Answers
2.) which number could not be a value of y if:
y = 4x2-6
a.) 30
b.) 10
c.) -6
d.)-12
Answers
The number that could not be a value of y if y = 4x² - 6 is -12.
What is the value of y for a function of f(x)?The value of y for which a function f(x) = y = 4x² - 6 can be determined by knowing the smallest value of y for which x is equal to zero.
So, from the equation y = 4x² - 6, we will replace the value of x with zero to determine the smallest value of y.
i.e.
y = 4(0) - 6
y = 0 - 6
y = -6
Thus, any number smaller than -6 could not be a value of y for the equation y = 4x² - 6.
Therefore, we can conclude that the number that could not be a value of y if y = 4x² - 6 is -12.
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Answer:
-12 is the answer.
Need help due tmr this is linear relationships
Answers
Bright Eyes Hotel: $105
(5 Nights)
Sunrise Hotel: $120 x 5 = $600
Bright Eyes Hotel: $105 x 5 = $525
Difference: $600-$525 = $75
Consider the graph of the function f(x)=(x−2)12 below. Which statements are true about the function f(x) ? Choose all that are correct. A The minimum value of f(x) occurs at the point x=0 . B The function does not reach a maximum value. C The function is increasing for all values of x larger than 2. D For some values of x , f(x)<0 . E The function is decreasing for all values of x smaller than 2.
Answers
The correct statements regarding the function in the graph are given as follows:
B. The function does not reach a maximum value.
C The function is increasing for all values of x larger than 2.
What are the correct statements regarding the function?The function is defined for values of x or 2 and greater, and the function is increasing until infinity(hence it does not reach a maximum value) for all these values, hence statements B and C are correct.
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what is the difference between squaring and taking the square root ?
Answers
Answer:
Squares are the numbers, generated after multiplying a value by itself. Whereas square root of a number is value which on getting multiplied by itself gives the original value.
Step-by-step explanation:
Hence, both are vice-versa methods. For example, the square of 2 is 4 and the square root of 4 is 2.
If your car has a 40 liter gas tank and your car can achieve 26 mpg (miles per gallon), how far can you travel on a full tank
Answers
Answer:
270.4 miles
Step-by-step explanation:
First we will convert the 40 liter gas tank into gallons.
There are about 0.26 gallons in 1 liter, so we can find how many gallons are in 40 liters by solving [tex]40 * 0.26[/tex], which equals to [tex]10.4[/tex] gallons.
We can now find how far we can travel on a full tank.
[tex]\mbox{26 miles per gallon } * \mbox{10.4 gallons} = \mbox{270.4 miles}[/tex]
This means we can travel 270.4 miles on a full tank.
That is the answer
- Kan Academy Advance
Explain how you would find the area of the shape below.
Answers
Answer:
Explained below
Step-by-step explanation:
Area= area of these two triangles+ area of the rectangle+ area of the
=1/4(dh)+ +l.b +
Work out th
e value of x x y x z
Answers
Step-by-step explanation:
simple x×x×y×z=x^2×yz=x^2yz
9=-7x+7x^2 Helppp please
Answers
Answer:
x= 0.21428571428 or x=0.2
Step-by-step explanation:
-7x+7x^2=9 1. simplify 7x^2
-7x+ 7x(7x)=9 2. combine like terms
-7x+49x=9 3. combine like terms
42x=9 4. /42 on both sides
x= 0.21428571428 or x=0.2
If g (x) = one-third x and 3 x (StartFraction x Over 3 EndFraction), which expression could be used to verify that (one-third x) (3 x) is the inverse of One-third (3 x)?
Answers
The expression that can be used to verify that (one-third x) (3 x) is the inverse of One-third (3 x) is 1/3(3x).
What is an expression?It should be noted that an expression is a collection of symbols that can be used to jointly express a quantity.
From the information given, g(x) = 1/3x + 3x. Here, the expression that can be used to verify that (one-third x) (3 x) is the inverse of One-third (3 x) is 1/3(3x). The inverse in this case is the opposite of the function expressed.
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Answer:
c
Step-by-step explanation:
edge 2022
What is the median of this data set? 15, 14, 6, 10, 7, 15, 7, 8
Answers
The median of this set is:
9
A median is:In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value. The basic feature of the median in describing data compared to the mean is that it is not skewed by a small proportion of extremely large or small values, and therefore provides a better representation of a "typical" value. Median income, for example, may be a better way to suggest what a "typical" income is, because income distribution can be very skewed. The median is of central importance in robust statistics, as it is the most resistant statistic, having a breakdown point of 50%: so long as no more than half the data are contaminated, the median is not an arbitrarily large or small result.
HAVE A NICE DAY!
Answer:
Step-by-step explanation:
Remark
You always have to put the data in order to answer a question like this one.
6 7 7 8 10 14 15
The median is the middle number. In this case it is 8. There are 3 numbers below 8 and 3 numbers above 8, so 8 is the median.
Answer: 8
Find the equation
of the line
that goes through (2,4) and has
a slope of -3.
Answers
The equation of the line that goes through (2,4) and has a slope of -3 y = -3x + 10
How to find the equation of a line with slope?The equation of a line can be represented as follows;
y = mx + b
where
m = slopeb = y-interceptTherefore,
y = -3x + b
Let's find b
hence,
4 = -3(2) + b
4 = -6 + b
b = 4 + 6
b = 10
Therefore,
y = -3x + 10
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What is the mean of this data set? If necessary, round your answer to the nearest tenth. 11,16,22,28,29,30,31,34,37,38,43,49,56,78,99
Answers
Answer:
To find the mean of a given data set, add up all the values then divide by how many numbers ...
Step-by-step explanation:
What percent is 15 out of 500?
Answers
Answer:
3%
Step-by-step explanation:
P% = 15/500
P = 0.03
P% = 0.03 * 100 = 3%
Answer:
15% out of 100 is 15, multiply by 5 and you get 75
What’s the difference in these two questions and why did we divide in one and multiple in one ( also why did we divide by8 in question 2)
Answers
Answer:
they are different in the equation
What is the solution for p in the equation?
7
p + p + 7 = p +5+4
OAp=1
OB. p=6
OC.
p= -1
OD. p= -6
Answers
Step-by-step explanation:
p + p + 7 = p + 5 + 4
2p + 7 = p + 9
2p - p = 9 - 7
p = 2
A rectangle is 29 feet long and 7 feet long. What is the area of this rectangle?
Answers
Answer: 203
Step By Step Explanation: Just multiply the numbers.
Answer:
Area = 203 [tex]ft^{2}[/tex]
Step-by-step explanation:
The area of a rectangle can be found using this equation:
Area = length x width
The length given is 29 feet, and the width is 7 feet.
Let's plug these into the equation:
Area = (29)(7) = 203 [tex]ft^{2}[/tex]
Therefore, the area of the rectangle is 203 [tex]ft^{2}[/tex].
Hope this helps! If you have any questions about my work, please let me know down in the comments!
In ΔDEF, sin D=24/25. What is cos E? [Worth 20 points]
A. 24/25
B. 7/25
C. 25/7
D. 7/24
Answers
The value of cos E is [tex]\frac{24}{25}[/tex]. The correct option is A. [tex]\frac{24}{25}[/tex]
TrigonometryFrom the question, we are to determine the value of cos E
From the given information, we have
[tex]sin \ D=\frac{24}{25}[/tex]
By SOH CAH TOA
Opposite = 24
Hypotenuse = 25
Thus, considering the diagram
/EF/ = 24
and
/DE/ = 25
By SOH CAH TOA
[tex]cos \ E =\frac{/EF/}{/DE/}[/tex]
∴ [tex]cos \ E =\frac{24}{25}[/tex]
Hence, the value of cos E is [tex]\frac{24}{25}[/tex]. The correct option is A. [tex]\frac{24}{25}[/tex]
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What is (6 532/1000kg + 7,278g + 5kg 166g) x 8?
Answers
Answer:
151.80800 kilograms
Step-by-step explanation:
42 times 12 divided by 4
Answers
Answer:
42×12/4
=42×3
=126
........
_____= ______= 252
2 2
The answer the this question is 252.
help help help help help
Answers
L x W x H
60 x 40 x 30
write the formula of gravitational force between two bodies of mass 'x'and 'y' kept at a distance 'r'
Answers
[tex]\huge \orange{F =G.\frac{xy}{r^2}}[/tex]
Step-by-step explanation:
Masses of the bodies are x and yDistance at which they are kept is rWhen two bodies are of masses x and y are placed at a distance r then the gravitational force acting on them is given as:[tex]\huge \purple{F =G.\frac{xy}{r^2}}[/tex]Where G is the gravitational constant.