Answer:
(6^2)3n
Step-by-step explanation:
6 to the 2nd is 6^2, and since it's hard to tell whether the *n is part of the exponent, I put parentheses around the 6^2. Then just multiply by 3 by adding a 3 to the n.
Answer:
Step-by-step explanation: Raising 6 to the second power means 6 squared, then you multiply it by n so it would be n x 6^2, and then you multiply all of that by 3 so 3(n x6^2)
Explain what is wrong with the following proof by mathematical induction that all horses are the same color:
Clearly all horses in any set of 1 horse are all the same color. This completes the basis step. Now assume that all horses in any set of n horses are the same color. Consider a set of n + 1 horses, labeled with the integers 1, 2,...,n + 1. By the induction hypothesis, horses 1, 2,...,n are all the same color, as are horses 2, 3,..., n, n + 1. Because these two sets of horses have common members, namely, horses 2, 3, 4,...,n, all n + 1 horses must be the same color. This completes the induction argument.
The proof by mathematical induction that all horses are the same color is flawed because the basis step does not make any sense. Because the basis step is invalid, the proof is incorrect overall.
Specifically, for the basis step, we cannot start with a set of 1 horse, as there is no other horse to compare it to. Hence, we cannot make any definitive claims about a single horse, and the basis step cannot be completed. The inductive step, on the other hand, is correct, assuming that the basis step was valid. By assuming that all horses in a set of n horses are the same color, we can show that horses 1 through n + 1 must be the same color. This is because the sets of horses from 1 to n and from 2 to n + 1 overlap, and therefore, by the transitive property of equality, all horses in the set from 1 to n + 1 must be the same color. However, because the basis step is invalid, the proof is incorrect overall.
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someone help me please
The height of the aquarium is h = 18 3/4 yd
Volume of a rectangular boxThe formula for calculating the volume of a rectangular box is expressed as
V = lwh
where
l is the length
w is the width
h is the height
Substitute
350 = 20/3 * 14/5 * h
350 = 280/15h
35 = 28/15h
28h = 35 * 15
28h = 525
h = 525/28
h = 18 3/4 yd
Hence the height of the aquarium is h = 18 3/4 yd
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help me please!!!!!!!!!!!
Answer:
I did mostly everything for you bestiieee on the pictureee :3
Step-by-step explanation:
hope this helped :3
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What is the answer for. 49x^2-25y
What's the recursive definition for the sequence 1,3,7,15,31
Collected at twice the amount collected each time the previous time
A _______ variable is defined inside the body of a function and is not accessible outside that function.
A local variable is defined inside the body of the function and is not accessible outside of the function.
A local varible is a type of variable that we declare inside a block or a function, unlike the gloabal variable. They can be used only by the statements that are inside the function or the block of the code. Local variables are not known to functions outside their own.
Thus,
A local variable is defined inside the body of the function and is not accessible outside of the function.
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In the figure below, lines and k are parallel
M21 = m28
m23 = m25
1/2
3/4
26 = m27
19
m24+ m26 = 180°
10
5/6
7/8
→K
m25+ m2g + m2 10 = 180°
Select all the equations that must be true.
180°
27 = m29 + m2 10
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The true statements of the angles of the parallel lines are
a) m∠1 = m∠8
b) m∠6 = m∠7
c) m∠4 + m∠6 = 180°
d) 180° - m∠7 = m∠9 + m∠10
What are Parallel Lines Cut by Transversal?Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.
Corresponding angles
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position
Alternate Interior Angles
Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.
Alternate Exterior Angles
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Consecutive Interior Angles
When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.
Given data ,
The true statements are
a) m∠1 = m∠8 ( alternate exterior angles )
b) m∠6 = m∠7 ( vertically opposite angles )
c) m∠4 + m∠6 = 180° ( co-interior angles are supplementary )
d) 180° - m∠7 = m∠9 + m∠10 ( triangle exterior angle theorem )
Hence , the angles of the parallel lines are solved
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how many standard deviations (in ftes) away from the mean is the median? (round your answer to two decimal places.)
Therefore , the solution of the given problem of standard deviation comes out to be the value of x=48 is 0.4853 standard deviations away from the mean.
Define standard deviation.Statistics uses variance to measure variation. The square root with that number is used to compute the average variation here between data and the mean. In contrast to certain other quantifiable measures of variability, it takes into account all datasets in its calculations by comparing each result to the mean. Variations could be caused by internal or external forces, and they might involve things like unintended mistakes, inflated expectations, and shifting economic or commercial conditions.
Here,
Given :
Standard deviation is 12.59, with a mean of 54.11
X=48
employing the z-formula
=> z = x -u / α
Values are replaced to produce
=> z = 48 -54.11/12.59
the z value is
z= - 0.4853
As a result, it can be shown that the value of x=48 is 0.4853 standard deviations away from the mean.
Therefore , the solution of the given problem of standard deviation comes out to be the value of x=48 is 0.4853 standard deviations away from the mean.
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The complete question is " The annual rainfall in a town has a mean of 54.11 inches and a standard deviation of 12.59 inches. Last year there was rainfall of 48 inches. How many standard deviations away from the mean is that? Round your answer to two decimal places."
Rupert’s height is 1.9m
There is a line that measures 12.8m and the same line continues to 1.6km.
I need to use Soh Cah Toa and the Sine or Cosine Law
Answer:
239.4 m
Step-by-step explanation:
Find the intersection point for the following linear functions.
f(x) = 2x + 3
g(x) = -4x − 27
A.
(5,13)
B.
(5,-7)
C.
(-5,-10)
D.
(-5,-7)
Answer:
(-5,-7)
Step-by-step explanation:
To find points of intersection, first set the two equations equal and then solve for x. Then substitute that x back into either equation for the complete point of intersection.
2x + 3 = -4x - 27
6x = -30
x = -5
2(-5)+3 = -10 + 3 = -7 (substituting our solution into f(x) here)
Answer:
d
Step-by-step explanation:
An electronics superstore normally sells a new smartphone for $200, but it is currently offering a 50% discount off the price. The same phone is available online for $200; the website is offering 25% off the phone, plus another 25% discount off all purchases. Where should you buy the phone to get the better deal? Why?
Answer: They are equal, but if you are buying something else with it,, say a case, the website
Step-by-step explanation:
Website:
1/4 +1/4 = 1/2
Store:
1/2
Answer:
the 50% off is the better deal
Step-by-step explanation:
200 x .50= 100 so on the first phone you save $100
the website you get 25% off so .25 x 200=50 so 200 - 50 =150 then you get another 25% off .25 x 150 =37.50 so 150 - 37.50 = 112.50.
When testing μ or the difference of means μ1 – μ2 from independent populations, how do we decide whether to use the standard normal distribution or a Student's t distribution?
When testing the population mean (μ) or the difference of means (μ1 – μ2) from independent populations, you should consider the sample size and the known/unknown nature of population standard deviation to decide whether to use the standard normal distribution or a Student's t-distribution.
1. Use the standard normal distribution (z-test) when:
a) The sample size is large (n ≥ 30) and the population standard deviation (σ) is known.
b) The population is normally distributed, and the population standard deviation (σ) is known, regardless of the sample size.
2. Use the Student's t-distribution (t-test) when:
a) The sample size is small (n < 30) and the population standard deviation (σ) is unknown, requiring you to estimate it using the sample standard deviation (s).
b) The population is normally distributed or approximately normal, and the population standard deviation (σ) is unknown, regardless of the sample size.
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which One is rational number
Answer:
A
Step-by-step explanation:
Answer:
A is a ratinal number
Step-by-step explanation:
3000 millimetres to kilometre
Answer:
0.003 km
Step-by-step explanation:
KM = MM / 1,000,000
x = 3,000mm / 1,000,000 = 0.003 km
There are also 0.000001 km in 1 mm, so in reverse,
0.000001
0.001 <- move to left 3 times (1,000)
0.003 km = 3,000 mm.
\(1mm = 1 \times {10}^{ - 6} \\ 3000mm = x \\ \\ \\ x = 3000 \times {10}^{ - 6} \\ x = 0.003\)
3000 millimetre = 0.003 kilometre
a marathon runner can jog one mile in 7.5 minutes. how many miles can the runner complete in 3.5 hours
1 hour = 60 minutes
3.5 hours x 60 = 210 minutes
210 minutes / 7.5 minutes per mile = 28 miles
Answer: 28 miles
Find the surface area of the prism.
2 yd
5 yd
4 yd
The surface area is
square yards.
The surface area is 76 square yards
How to determine the surface area of the prism?You should recall that In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces, necessarily all parallelograms,
The surface area is given as 2(lb + bh + lh)
2(5*4)+2(5*2)+2(4*2)
40+20+16
76 square yards
Therefore, the surface area of the prism is 76 square yards
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help please???????????
Answer:
The answer is C. (a + -a = 0 )
Step-by-step explanation:
"The additive inverse of a number a is the number that, when added to a, yields zero"
What percent of the large square is shaded?
(x - 3)? > -3(x + 2) for x = 3
Answer:
The Left side (0) is greater then the right side (-15)
Step-by-step explanation:
(x - 3) is greater than -3(3+2)
Please help me with this homework only the answer
Answer:
-4/-12 or simplified would be 1/3
Step-by-step explanation:
what is 2+2x9x9x9x9x9x9x9
\(\huge\boxed{9,565,940.}\)
___________________________________________________________
We have the equation...
\(\boxed{2+2x9x9x9x9x9x9x9=(?)}\)
Enter this into your calculator...
\(\boxed{2+2x9x9x9x9x9x9x9}\)
You should get...
\(\boxed{9 565 940}\)
Someone pls explain :)!!!!
Answer:
The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.
The formula is y=mx+b
:D
A water coller filll 150 glae in 30 minute how many glae of water can the coller filll in one minute
Five water glasses each minute, one minute to fill the cooler.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. what kinds of values and units
Let's say you go to the store to buy six apples.
You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples. Recognizing the units and values is crucial when using the unitary technique to a problem.
Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.
We are aware of the quantity of apples and the amount of money in the aforesaid problem.
According to our question-
divide 150 by 30 equal 5
= 5
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Write a brief statement about life in the mid-1800s using the following terms. A. Prejudice B. Discrimination C. Famine d. Nativists e. Emigrant
Answer:
Step-by-step explanation:
Life in the mid-1800s was marked by widespread prejudice and discrimination against minority groups, including immigrants and African Americans. The period was also characterized by a series of famines that led to significant suffering and mortality. Nativist movements gained popularity, promoting the interests of those born in the United States over those of immigrants. At the same time, millions of emigrants left their homes in search of better opportunities in America, despite the obstacles they faced upon arrival.
Answer:
(if you would like a short one/ still need help)
Nativists we’re prejudice and discriminatory towards Irish emigrants who had come to the United States after the events of the Irish Potato Famine
hope this helps :)
The length of telephone conversation in booth has been an exponential distribution and found on an average to be 5 minutes. Find the probability that a random call made from this booth (i) ends less than 5 minutes (ii) between 5 and 10 minutes
Answer:
0.632 ; 0.233
Step-by-step explanation:
Given that :
Conversation average λ = 1/5 = 0.2
Using the poisson distribution function :
P(x) = 1 - e^(-λ/x)
p(< 5) = 1 - e^-(1/5 * 5)
P(<5) = 1 - e^-1
P(< 5) = 1 - 0.3678794
= 0.6321205
= 0.632
B.) between 5 and 10 minutes
5 < x < 10
P(x< 5) - p(x< 10)
P(< 5) = 1 - 0.3678794 = 0.6321205
P(< 10) = 1 - (e^-1/5 * 10)
P(< 10) = 1 - e^-2 = 1 - 0.1353352 = 0.8646648
P(< 10) - P(<5)
0.8646648 - 0.6321205
=0.2325443
= 0.233
If △ABC is dilated by a scale factor of 1/2 with a dilation center of A, what is the coordinates of point C?
To determine the coordinates of point C after dilation by scale factor k=1/2, you have to multiply each coordinate of the original point by the scale factor, following the rule:
\((x,y)\to(\frac{1}{2}x,\frac{1}{2}y)\)First, determine the coordinates of C. The point is over the x-axis, so the y-coordinate is zero, the x-coordinate can be read from the graph, it is x=2
C(2,0)
Calculate the dilation as follows:
\(C(2,0)\to C^{\prime}(\frac{1}{2}\cdot2,\frac{1}{2}\cdot0)=C^{\prime}(1,0)\)The coordinates of point C after the dilation are C'(1,0)
helpppooooooopppppppp plssss
Answer:
boys + girls = 45 -------(1)
There boys 17 more than girls, boys = girls + 17 ----------(2)
substitute (2) in (1)
girls + 17 + girls = 45
2 x girls + 17 = 45
2 x girls = 45 - 17
2 x girls = 28
girls = 14
substitute in (2): boys = girls + 17 = 14 + 17 = 31
option D
Answer:
The answer is D
Step-by-step explanation:
License plates are made using 2 letters followed by 3 digits. How many plates can be made if repetition of letters and digits is not allowed?
The number of license plates that can be made if repetition of letters and digits is not allowed is 468,000.
We will use the multiplication principle of counting here.
In multiplication principle of counting, if a task can be done in m ways and another task can be done in n ways, then both tasks can be done together in m × n ways. So, the number of ways the license plates can be made without repetition is:
Number of ways to select 2 letters from 26 letters without repetition = 26P2 = 26 × 25
Number of ways to select 3 digits from 10 digits without repetition = 10P3 = 10 × 9 × 8
Hence, using the multiplication principle of counting, the number of license plates that can be made without repetition of letters and digits is:
26 × 25 × 10 × 9 × 8= 468,000.
Therefore, the number of license plates that can be made if repetition of letters and digits is not allowed is 468,000.
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Thank non so much Chene Inters! thank nen so much Chene Inters! Thank nen semneh Chena inters! That en so much Chean Inters! Thank nen so much Chean Inters! thank nen remneh Chene Inters! Thank you so much Cheos tuters! Thank you so much Cheas tuters! thank you so much Cheao tutor thank you so much Cheos tuters! Thank you so much Cheos tuters! Thank you so much Cheas tuter This is This is The The QuestioQuestion I need I need Help Help With: With: This is This is The The QuestioQuestion I need I need Help Help Write a Regular Expression For this With: With: This is This is The The Questionuestion I need I need Help Help With: With: This is This is language: The Question L = {w = {a,b}* | w has I need Help With: This is odd number of The Question I need a's and ends Help With: This is The Question I need Help With: This is The The Question Question need with b} Please show work neatly and I will thumb up your answer promptly if it makes sense! Do not copy and paste work from other questions or I will give you a thumbs down. I need Help With: Help With: This is This is The The Question Question I need I need Help With: Help
The regular expression is ^(a(aa)*b)$.
Find Regular expression for odd 'a's, ending with 'b'?To create a regular expression for the language L = {w = {a,b}* | w has an odd number of 'a's and ends with 'b'}, we can use the following expression:
^(b|(a(aa)*b))$
Breaking it down:
^ indicates the start of the string.
(b|(a(aa)*b)) matches either 'b' or a sequence of 'a's followed by an odd number of 'a's and 'b'.
(aa)* matches zero or more pairs of 'a's.
$ indicates the end of the string.
This regular expression ensures that the string starts with 'b' or a sequence of 'a's, followed by an odd number of 'a's, and ends with 'b'. Any additional characters or sequences in between are not allowed.
Please note that regular expressions can have different notations and conventions depending on the context or programming language you're using. The expression provided here follows a general pattern that should work in most cases.
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What is the measure of y?
4
16
Z
X
y = [?]
=
Give your answer in simplest form.
please help!! the video i watched didn’t help me much in understanding
Answer:
=8
Step-by-step explanation:
=4, =16 =?
16-4=8⇚
=8