Samantha conjectures that for x < -1, it is true that x5 - 2 > x. Is her conjecture correct? Why or why not?
Answer:
The conjecture cannot work for any negative numbers, It works for x > 1.3.
Step-by-step explanation:
An odd power preserves the sign. For |x| > 1, the power increases the magnitude. For x < 0, adding -2 only increases the magnitude more. A negative number of larger magnitude will not be "greater than" the reference. It will be "less than."
It only takes a counterexample to show the conjecture is incorrect.
x^5 -2 ?? x
(-2)^5 -2 ?? (-2)
-32 -2 ?? -2
-34 < -2 . . . . . . not greater than
HELP ME I MARK BRAIN THING
Answer:
your answer will be B
Step-by-step explanation:
have a nice day/night !!!
Answer:
A
Step-by-step explanation:
it is joined so it is symmetrical
What function is represented in the graph below?
The function that represents the graph is the second option;
f(x) = 5·sin(3·θ)
What is a function?A function assigns or maps the values in the set of input variables unto the set of the output variables.
The general form of a sinusoidal function is; y = A·sin(B·(x - C)) + D
Where;
A = The amplitude
The period, T = 2·π/B
D = The vertical shift of the graph of the function
The peak and midline coordinates of the graph are (π/6, 5), and (π/3, 0)
The amplitude of the graph is therefore; 5 - 0 = 5
The period of the graph is the distance between successive peaks, which can be found as follows;
Period, T = 5·π/6 - π/6 = 4·π/6 = 2·π/3
Therefore; T = 2·π/3 = 2·π/B
B = 3
The point (0, 0), on the graph indicates that when the function is a sine function, and sin(0) = 0, the horizontal shift is; C = 0
The location of the midline on x-axis indicates that the vertical shift of the function is; D = 0
The function is therefore;
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arthur is building a rectangular sand box for his son ther area of the sandbox is 17 23/32 square feet if the length of the sand box is 3 3/8 feet what is the width of the sand box
Answer:
i think its uh carrot
Step-by-step explanation:
a triangular fence is being built to surround a garden. if two of the side lengths must be 4 feet and 12 feet, which inequality could be solved to determine the minimum length of the third side?
The minimum length of the third side must be greater than 16 feet.
The minimum length of the third side can be determined using the Triangle inequality theorem. This theorem states that the sum of any two sides of a triangle must be greater than the length of the third side. The Triangle Inequality Theorem can be expressed by the following inequality: a + b > c, where a, b, and c are the lengths of the three sides of the triangle. In this case, we have two sides of 4 feet and 12 feet, so the inequality can be written as 4 + 12 > c, which simplifies to 16 > c. Solving for c yields c > 16, which means that the minimum length of the third side must be greater than 16 feet.
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Determine whether the sequence converges or diverges. an= (4+ 13n^2)/ (n +14n^2)
To check whether the sequence converges or diverges, we examine the behaviour of the sequence as n approaches infinity. Here the sequence converges to the value 13/14.
Let's analyze the given sequence: an = \((4 + 13n^2) / (n + 14n^2).\)
As n approaches infinity, the dominant terms in both the numerator and denominator become the highest power of n. In this case, it is the term 13n² in the numerator and the term 14n² in the denominator.
Dividing both the numerator and denominator by n², we get:
an = \((4/n^2 + 13) / (1/n + 14).\)
As n approaches infinity, \(4/n^2\)tends to 0, and 1/n tends to 0. Therefore, we have:
an = (0 + 13) / (0 + 14) = 13/14.
The sequence converges to the constant value 13/14 as n goes to infinity.
In conclusion, the sequence converges to the value 13/14.
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Pls help as fast as possible
Answer:
452.389342 cubic inches
Step-by-step explanation:
The volume of a sphere is calculated using the formula V = 4/3 pi r^3
to determine the radius, you can notice that 4 spheres take up 24 in in length. This means that the radius of 1 sphere is 24/4/2 = 3 inches.
from there we plug and play: V = 4/3 * pi * 3^3 = 113.097336 cubic inches.
Note that this is only the volume of 1 sphere, so we multiply by 4
and we get 452.389342 cubic inches
Answer:
452.4
Step-by-step explanation:
Radius of each sphere: 24/4/2=3
Formula for volume: (4pir^3)/3
Formula for 4 spheres: 4 times (4pir^3)/3
Substitute 3 for r
Tea Off served a total of 8,080 cups of chamomile tea to its customers last year. This year, the number of served was 35% lower. How many cups of chamomile tea did the cafe serve this year?
mont 10: The diagonals of a square bisect the vertical engles yp 1: Draw a square ABCD. Draw diagonals AC and BD. D B A | 2: of each vertical angle by the diagonals. Write the measurements in the table. Vertical angles Other angles formed by diagonals at Result each vortex ZBAD = ROZBAC ZCAD ZBAC = CAD LABD = ZCBD = ZABD = ZCED ZBCA ZACD ZBCA ZACD ZADB BDC = ZADE - EDC ABC = BCD ADC Conclusion: The diagonals of a square bisect the vertical angles.
Answer:
square the vertical starting from bisect angle !
If a conditional statement is written in the form “If p then q”, how is the inverse of the conditional statement written? If not q, then not p If not q then p If not p then q If not p, then not q
The inverse of the conditional statement "If p then q" is, "p and not q".
What is conditional statement?
"If...then" is how a conditional statement is expressed. If we consider p and q to be the two statements, then p and q can be written under several conditions, such as;
P implies Q P is adequate for Q Q is required for P P ⇒ QIf the "If" component (p) and the "then" part (q) of a conditional statement are both negated, this is known as a conditional statement in reverse. The conditional statement in geometry is known as p → q. Where stands for NOT or negating the statement, the inverse is written as ~ p → ~ q.
In logic, "p and not q" is identical to the negation of "if p then q."
Therefore, the inverse of the conditional statement "If p then q" is,
"p and not q".
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The equation L= 4m+25 and H= 9m+41 represent the number of LA Lakers shirts, L, and the number of Miami Heat shirts, H, sold in m months at a sports store.
Write an expression for the total of Lakers and Heat shirts sold.
Predict the number of Lakers and Heat shirts sold in 1 year and 2 months (Hint: Remember that m is in months 1 year =12 months)
Answer:
Step-by-step explanation:
A computer virus infects files very quickly. The number of files triples every minute. After the first minute, five files are infected. (pls answer)
Options in the pic
Answer:
C
Step-by-step explanation:
The answer is C because r =3 I got that because it says triples. a=5 it comes from when it says five files are infected. an=3an-1. an=5(3)n-1. Hope this helps!
Consider the two functions below. Which one of these functions is linear? What is its equation? Enter any answers to two decimal places
Answer:
A
Step-by-step explanation:
A linear function is a straight line when graphed so is not B.
For confirmation of A note how for each increase of 3 in x we get the same increase of 5 in y.
An inclined plane that forms a 30° angle with the horizontal is thus released from rest, allowing a thin cylindrical shell to roll down it without slipping. Therefore, we must determine how long it takes to travel five metres. Given his theta, the distance here will therefore be equivalent to five metres (30°).
The transformation of System A into System B is:
Equation [A2]+ Equation [A 1] → Equation [B 1]"
The correct answer choice is option D
How can we transform System A into System B?
To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].
System A:
-3x + 4y = -23 [A1]
7x - 2y = -5 [A2]
Multiply equation [A2] by 2
14x - 4y = -10
Add the equation to equation [A1]
14x - 4y = -10
-3x + 4y = -23 [A1]
11x = -33 [B1]
Multiply equation [A2] by 1
7x - 2y = -5 ....[B2]
So therefore, it can be deduced from the step-by-step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].
The complete image is attached.
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The perimeter of a rectangle is 48 in. If the length is twice
the width, what is the length of the rectangle?
A) 64 in.
B) 16 in.
C) 8 in.
D) 4 in.
Answer:
\( \boxed{\sf Length \ of \ the \ rectangle = 16 \ in} \)
Given:
Perimeter of rectangle = 48 in
Length = Twice the width
To Find:
Length of the rectangle
Step-by-step explanation:
Let width of the rectangle be 'w'.
So,
Length of the rectangle = 2w
\(\sf \implies Perimeter \ of \ rectangle = 2(Length + Width \\ \\ \sf \implies 48 = 2(2w + w) \\ \\ \sf \implies 48 = 2(3w) \\ \\ \sf \implies 48 = 6w \\ \\ \sf \implies 6w = 48 \\ \\ \sf \implies \frac{ \cancel{6}w}{ \cancel{6}} = \frac{48}{6} \\ \\ \sf \implies w = \frac{48}{6} \\ \\ \sf \implies w = \frac{8 \times \cancel{6}}{ \cancel{6}} \\ \\ \sf \implies w = 8 \: in\)
Width of the rectangle (w) = 8 in
Length of the rectangle = 2w
= 2 × 8
= 16 in
how many 0's are located to the right of the decimal point and before the first non-zero digit in the terminating decimal representation of $\frac{1}{2^5\cdot5^8}$?
There are 11 zeros in the given fraction's terminating decimal representation.
To determine the number of zeros to the right of the decimal point and before the first non-zero digit in the terminating decimal representation of \($\frac{1}{2^5\cdot5^8}$\) , we need to simplify the fraction.
\($\frac{1}{2^5\cdot5^8}$\) can be rewritten as \($\frac{1}{32\cdot390625}$\) .
To find the decimal representation of this fraction, we divide 1 by the product of the denominators: \($32\cdot390625$\) .
Performing the division, we get:
\($0.000000000000512$\)
In this decimal representation, there are 11 zeros located to the right of the decimal point and before the first non-zero digit, which is 5. Therefore, there are 11 zeros in the given fraction's terminating decimal representation.
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A particle moves along the y-axis so that at time t≥0 its position is given by y(t)=t3−6t2+9t. Over the time interval 0
Therefore, the maximum displacement of the particle is 4 units, and it occurs at time t = 1.
To find the maximum displacement, we need to first determine the particle's velocity and acceleration.
The velocity of the particle is given by the derivative of its position function:
\(v(t) = y'(t) = 3t^2 - 12t + 9\)
The acceleration of the particle is given by the derivative of its velocity function: a(t) = v'(t) = 6t - 12
Now, to find the maximum displacement, we need to find the time at which the particle comes to rest.
This occurs when its velocity is zero:
\(3t^2 - 12t + 9 = 0\)
Simplifying this equation, we get:
\(t^2 - 4t + 3 = 0\)
This quadratic equation factors as:
(t - 1)(t - 3) = 0
So the particle comes to rest at t = 1 or t = 3.
Next, we need to determine whether the particle is at a maximum or minimum at each of these times.
To do this, we look at the sign of the acceleration:
When t = 1, a(1) = 6(1) - 12 = -6, which is negative.
Therefore, the particle is at a maximum at t = 1.
When t = 3, a(3) = 6(3) - 12 = 6, which is positive.
Therefore, the particle is at a minimum at t = 3.
Finally, we need to find the displacement of the particle at each of these times:
\(y(1) = 1^3 - 6(1)^2 + 9(1) = 4\)
\(y(3) = 3^3 - 6(3)^2 + 9(3) = 0.\)
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Consider seven points in 1-D, the one-dimensional space. Suppose a partitioning into two clusters C1 and C2 has been obtained by a k-medoids method (i.e., k=2). Let my and m2 be the representative objects of C1 and C2, respectively, m1 = 30 and m2 = 32. Cluster C1 has been assigned the (non-representative) points P1 = 3 P2 = 30 and cluster C2 the points P3 = 18 P4 = 23 p5 = 34 Using the Manhattan distance (i.e., the absolute value of the difference between two points) as the dissimilarity measure, calculate the absolute error E of the given partitioning.
By using Manhattan as the dissimilarity measure, the absolute error of the given partitioning is 52.
How to calculate absolute errorUsing the Manhattan distance, the distance between a point x and its representative object y is given by:
d(x, y) = |x - y|
The absolute error E is given by:
E = ∑d(x, y), for all x in the dataset
where y is the representative object of the cluster to which x belongs.
Using the given information, the dataset consists of the following seven points:
{3, 18, 23, 30, 30, 32, 34}
The representative objects of clusters C1 and C2 are m1 = 30 and m2 = 32, respectively.
Points P1 = 3 and P2 = 30 belong to cluster C1,
Points P3 = 18, P4 = 23, and P5 = 34 belong to cluster C2.
Therefore, we have:
d(P1, my) = |3 - 30| = 27
d(P2, my) = |30 - 30| = 0
d(P3, m2) = |18 - 32| = 14
d(P4, m2) = |23 - 32| = 9
d(P5, m2) = |34 - 32| = 2
Hence, the absolute error E is the sum of these distances:
E = d(P1, my) + d(P2, my) + d(P3, m2) + d(P4, m2) + d(P5, m2)
= 27 + 0 + 14 + 9 + 2 = 52
Thus, the absolute error of the given partitioning is 52.
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For Math
Name One MLE Choppa Song
One YNW Melly Song
And One Lil Tjay Song If I Know
All Three Songs Winner GetsCrown
Answer:
Nle Choppa: Camelot
YNW Melly: Murder On My Mind
Lil Tjay: Move On
:)
Suppose X and Y are independent Poisson random variables. Find the conditional probability mass function P(X=k∣X+Y=m)
[duplicate]
The conditional probability mass function P(X=k∣X+Y=m)= P(X=k, Y=m-k) / P(X+Y=m)
To find the conditional probability mass function P(X=k∣X+Y=m) for independent Poisson random variables X and Y, follow these steps:
1. Write down the joint probability mass function of X and Y:
P(X=k, Y=n)
= P(X=k) * P(Y=n) since X and Y are independent.
2. Express P(X=k) and P(Y=n) using the Poisson probability mass function:
P(X=k) = (e^(-λx) * λx^k) / k! and P(Y=n) = (e^(-λy) * λy^n) / n!
3. Plug these expressions into the joint probability mass function:
P(X=k, Y=n)
= [(e^(-λx) * λx^k) / k!] * [(e^(-λy) * λy^n) / n!]
4. Write down the marginal probability mass function for
X+Y: P(X+Y=m)
= Σ [P(X=k, Y=m-k)] for k=0 to m, where the summation is over all possible values of k.
5. Calculate the conditional probability mass function P(X=k∣X+Y=m) by dividing the joint probability mass function by the marginal probability mass function:
P(X=k∣X+Y=m) = P(X=k, Y=m-k) / P(X+Y=m)
In summary, the conditional probability mass function P(X=k∣X+Y=m) for independent Poisson random variables X and Y can be found using the joint probability mass function, the Poisson probability mass function, and the marginal probability mass function.
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1. Find the zero of: (write just the number, If there is no zero, write "none")
f(x) = -x - 5
Answer:
-5
Step-by-step explanation:
f(x) = -x - 5
did before
f(-5)= 5-5
Find the value of x in the figure below 13x+8 2x+7
Step-by-step explanation:
step 1. (13x + 8) + (2x + 7) = 180 (definition of same side interior angles)
step 2. 15x + 15 = 180 (like terms)
step 3. 15x = 165 (subtract 15 from each side)
step 4. x = 11. (divide both sides by 15)
HELP ME PLEASE
Toss one dice
the probability or rolling a 2 is 1/6
predict how many times a 2 will be rolled in 30 tosses...
Answer:
if you toss a dice 30 times, you will roll a two 5 times.
Step-by-step explanation:
If you toss a dice once, the probability of rolling a 2 is 1/6, like you said.
So if you multiply your chances of rolling a 2 by 30, you get;
30.1/6 = 30/6 = 5
Need help ASAP need to turn this in
Find the coordinates of the midpoint of
1. (6,3) and (4,5)
Answer:
(5,4)
Step-by-step explanation:
midpoint = (6 + 4 / 2 , 3 +5 / 2)
= (5,4)
what is the x coordinate of the point of inflection on the graph of y=1/3x^3+5x^2+24
Answer: x = -5
Step-by-step explanation:
HELP PLEASE THIS IS DUE IN 1 HOUR
Answer:
z=56
Step-by-step explanation:
trust me
z=56 pay attention in school
Given that y is the arithmetic mean of x and z, write an expression in terms of y that is equal to x+z
The expression in terms of y that is equal to x + z is 2y. This equation allows us to find the sum of x and z by substituting the value of y into the expression.
If y is the arithmetic mean of x and z, we can use this information to find an expression in terms of y that is equal to x + z.
The arithmetic mean of two numbers can be found by adding them together and dividing the sum by 2. So, we can write the equation for y as:
y = (x + z) / 2
To find an expression in terms of y that is equal to x + z, we can multiply both sides of the equation by 2:
2y = x + z
Now, we have an expression in terms of y that is equal to x + z. The expression is 2y.
This equation shows that the value of 2y is equal to the sum of x and z. So, if we know the value of y, we can substitute it into the expression 2y to find the sum of x and z.
For example, if y = 5, then 2y = 2 * 5 = 10. This means that x + z is equal to 10.
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Please help i need the answer in fraction form
You are first going to spin the spinner pictured below. Then you roll a six sided die. Lastly, you flip a fair coin.
Draw an area model AND a tree diagram depicting the probability outcomes
Answer:
According to the Fundamental Counting Principle, when we roll the die and spin the spinner the number of equally likely outcomes is (6)(4) = 24.
Step-by-step explanation: