The limit of the function will be:
lim f(x) = ∞ as x → ∞
lim f(x) = 0 as x → -∞
How to explain the functionThe limit of f(x) as x goes towards infinity is infinite while the limit of f(x) approaches 0 when x tends to a negative value. Mathematically speaking,
lim f(x) = ∞ as x → ∞
lim f(x) = 0 as x → -∞
We can comprehend such behavior because the function's base is greater than 1 which explains how its growth accelerates as x increases and diminishes quickly as x declines towards zero.
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You are finding a measure of center in the data sets below using either the mean or the median. In which of the data sets should you find the median? Select all that apply.
A) 68, 73, 77, 75, 23, 62 B) 84, 73, 28, 91, 93, 77 C) 24, 22, 21, 19, 23, 25 D) 18, 13, 56, 21, 12, 19 E) 77, 15, 81, 83, 84, 72
The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.
What is median of a data set?The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.
For example the median of option A) is calculated as follows:
Data set= 23,62,68,73,75,77
Median = 68+73/2 = 70.5
Therefore the median is between 68 and 73 which is = 70.5
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Can the following list represent a complete probability model? P(2)= 1/12 P(3) = 2/3 P(4) = 1/4
Therefore , the solution of the given problem of probability comes out to be a complete probability model cannot be represented by this list.
What exactly is probability?The main objective of each considerations technique is to calculate the likelihood that a claim is true or that a particular incident will occur. Anything between 0 and 1, were 0 traditionally denotes a percentage and 1 typically denotes the degree of certainty, can be used to represent chance. A probability illustration shows the likelihood that a particular event will occur.
Here,
The probabilities assigned to the outcomes do not add up to 1, hence the following list cannot be a complete probability model.
=> P(2) + P(3) + P(4)
=> 1/12 + 2/3 + 1/4
=> (1 + 8 + 3) / 12
=> 12 / 12 = 1
In a complete probability model, the total of the probabilities should always be equal to 1, indicating that there is a probability of 1 that one of the events will occur.
In this instance, there is a missing probability since the sum of the probabilities assigned to the possible possibilities is less than 1.
Therefore, a complete probability model cannot be represented by this list.
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PLS HURRY.
Determine whether each statement is true or false?
Answer:
The order is:
True
False
False
Select the correct answer from each drop-down menu. Astronomers can use geometry to measure the objects in space and describe their
Please Help.
Astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.
Who are astronomers?It should be noted that astronomers study stars, planets, and other celestial bodies. It should be noted that they use ground-based equipment, like optical telescopes, and space-based equipment. Some astronomers study distant galaxies and phenomena such as black holes and neutron stars.
In this case, astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.
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Answer:
distance between, motion
Step-by-step explanation:
plato, I got it right
Question 12
Which of the following relations is NOT a function?
A
{(2, 1), (5, 7), (2, 4), (1, 9)}
B
{(2,5), (3,5), (-2, 1), (5, 2)}
с
{(-1,3), (5,7), (1, 4), (9, 2)}
D
{(-2, 4), (3, 6), (2, 3), (4, -2)}
Answer:
A, because for every x value there can only be exactly one y value. Since 2 pairs with 1 and 4, the relation is not a function.
Step-by-step explanation:
It is approximately 100,000,000 miles from the earth to the sun it is approximately 200,000 miles from the earth to the moon approximately how much farther is the earth and the sun from the earth to the moon
The earth and the sun is 500 times farther form the earth and the moon.
What is a scale factor?The scale factor defines a variable in a ratio of two different measurements.
Sometimes drawings of large models are represented in a scale factor of a smaller unit.
Given, The distance between the sun and the moon is 100,000,000 miles.
And the distance from the earth to the moon is 200,000.
Therefore, The earth and the sun is (100000000/200000) miles farther from the earth and the moon.
= 500 times farther.
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Calculate the perimeter of the following figure.
11 inches
4 inches
3 inches
4 inches
7 inches
Answer:
29 inches
Step-by-step explanation:
add all the sides
11+4+3+4+7=29
Answer:
29 inches
Step-by-step explanation:
⇒ Perimeter = Sum of the lengths of the sides
⇒ P = 11 + 4 + 3 + 4 + 7
⇒ P = 18 + 11
⇒ P = 29 inches
What is the probability of choosing a red marble or a green marble out of a bag containing 5 blue marbles, 3 red marbles, and 1 green marble?
Answer:
P(Red) = 1/3
Step-by-step explanation:
Total number of marbles = 15
5 red
6 green
4 blue
you want to reach $3,000 in savings over four years your account will earn 10% interest per year how much must you save each month
You would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four years.
To calculate the monthly savings required to reach a savings goal of $3,000.00 over four years with a 10% annual interest rate, we can use the PMT (Payment) function.
The PMT function helps us determine the fixed payment amount needed to achieve a specific future value within a given time frame.
Let's break down the given information:
Present Value (PV): $0.00 (initial account balance)
Future Value (FV): $3,000.00 (savings goal)
Interest Rate (rate): 10% per year (annual interest rate)
Number of Periods (nper): 4 years (48 months)
Using the PMT function, we need to plug in the values and solve for the monthly payment (savings amount).
The formula for the PMT function is:
PMT(rate, nper, pv, [fv], [type])
Where:
rate = Interest rate per period
nper = Total number of periods
pv = Present value (initial account balance)
fv = Future value (savings goal)
type = (Optional) Indicates whether the payment is made at the beginning (1) or end (0) of the period.
We'll assume 0 for monthly savings.
Let's calculate the monthly savings using the PMT function:
PMT(10%/12, 4*12, 0, -3000, 0)
Here, we divide the annual interest rate by 12 to get the monthly interest rate (10%/12), multiply the number of years by 12 to get the total number of months (4*12), set the initial account balance (pv) as $0, set the future value (fv) as -$3,000 (negative because it's an outgoing payment), and assume the savings are made at the end of each month (type = 0).
Using a financial calculator or spreadsheet software, the monthly savings required to reach the goal of $3,000.00 over four years with a 10% annual interest rate is approximately $56.62.
Therefore, you would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four year.
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Question : you want to reach $3,000.00 in savings over four years. Your account will earn 10% interest per yea Initially your account has a zero balance. How much must you save each month to achieve this goal? Use the PMT() function. Look it up in the e-book if you do not know how to use it. TIP: This is monthly so do not forget to adjust the interest rate and number of payment.
given f''(x)=4x-2 and f'(-1)=0 and f(-1)=4
find f'(x)=
find f(4)=
question is in the picture
The formula of the area of the trapezium as subject to x is,
x = 2A/h - y.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
Given:
The area of the trapezium,
A = (1/2)h(x + y)
To make x the subject of the equation:
2A/h = (x + y)
2A/h - y = x
x = 2A/h - y
Therefore, the formula is x = 2A/h - y.
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Given that f(x)=√x, describe the function of g(x)
shown on the graph.
The function is represented by the equation
g(x)=√x +
The function g(x) has a domain x²
The function g(x) has a range y ≥
Answer: It's not possible to accurately describe the function g(x) without more information about the equation or the graph. The equation provided is g(x)=√x + , which is incomplete, it does not have a value assigned for the "+" operator, it could be added to any number, for example, g(x)= √x + 1, or g(x)= √x+5, and so on.
Additionally, the statement that the function g(x) has a domain x² and range y ≥ , is not a valid mathematical notation or statement. The domain of a function is the set of all input values (x-values) for which the function is defined, it's usually a set of real numbers or interval, like [-∞,+∞], (a,b) or [a,b], for example.
And range is the set of all output values (y-values) of a function, it's also usually a set of real numbers or interval.
I would suggest if you can provide me with the complete function of g(x) and more detailed information about the graph. I can help you better understand its features and properties.
Step-by-step explanation:
B+8/2=6
How do I do this
Answer:
B = 2.
Step-by-step explanation:
First work out 8/2. Okay so how many 2's go into 8? 4.
We now have B + 4 = 6.
Now that we've simplified it a bit we can do a reverse equation and turn it into subtraction.
Take the answer (6) and 4 and put them into a subtraction equation,
6 - 4. And simple subtraction should be easy so 6 - 4 = 2.
So B equals 2. Let's check it! 2 + 4 = 6. I think that sounds right so that will be the answer. B=2.
Hope that helps. x
Calculate a point estimate of the mean oxide thickness for all wafers in the population. (Round your answer to 3 decimal places.) (b) Calculate a point estimate of the standard deviation of oxide thickness for all wafers in the population. (Round your answer to 2 decimal places.) (c) Calculate the standard error of the point estimate from part (a). (Round your answer to 2 decimal places.)
This question is incomplete, the complete question is;
Data on oxide thickness of semiconductors are as follows: 425, 430, 414, 419, 421, 436, 418, 412, 430, 434, 423, 426, 408, 437, 435, 428, 412, 426, 409, 439, 422, 426, 414, 416
(a) Calculate a point estimate of the mean oxide thickness for all wafers in the population. (Round your answer to 3 decimal places.)
(b) Calculate a point estimate of the standard deviation of oxide thickness for all wafers in the population. (Round your answer to 2 decimal places.)
(c) Calculate the standard error of the point estimate from part (a). (Round your answer to 2 decimal places.)
Answer:
a) point estimate of the mean oxide thickness for all wafers in the population is 423.333
b) point estimate of the standard deviation of oxide thickness for all wafers in the population is 9.23
c) the standard error of the point estimate from part (a) is 1.88
Step-by-step explanation:
Given the data in the question;
x = 425, 430, 414, 419, 421, 436, 418, 412, 430, 434, 423, 426, 408, 437, 435, 428, 412, 426, 409, 439, 422, 426, 414, 416.
a)
To determine the mean;
we sum the total value divided by the sample size.
mean x" = (425 + 430 + 414 + 419 + ............... + 414 + 416) / 24
mean x'' = 10160/ 24
mean x" = 423.3333 ≈ 423.333
Therefore; point estimate of the mean oxide thickness for all wafers in the population is 423.333
b) standard deviation
we can determine the population standard deviation us the formula;
S.D(X) = √[ (ⁿ∑_\(_{i=1}\) (\(X_{i}\) - X")²) / n ]
= √[ {(425-423.3333)² + (430-423.3333)² +......+ (416-423.3333)² } / 24 ]
= √[ 1957.333 / 24 )
S.D(X) = 9.03
Note, the point of estimate of the variance population is biased estimate.
The unbiased point estimate of oxide thickness for all wafers in the population will be;
S.D(X) = √[ (ⁿ∑_\(_{i=1}\) (\(X_{i}\) - X")²) / (n-1) ]
= √[ {(425-423.3333)² + (430-423.3333)² +......+ (416-423.3333)² } / (24-1) ]
= √[ 1957.333 / 23 )
S.D(X) = 9.225 ≈ 9.23
Therefore, point estimate of the standard deviation of oxide thickness for all wafers in the population is 9.23
c) the standard error
SE (X") = S.D / √n
since the standard deviation is the unbiased estimate for the population, so;
SE (X") = 9.23 / √24
SE (X") = 1.884 ≈ 1.88
Therefore, the standard error of the point estimate from part (a) is 1.88
PLEASE HELP!!!
What is an equation of the line that passes through the points ( − 6 , 8 ) (−6,8) and ( 3 , − 4 ) (3,−4)?
Answer:
y = 12x − 4
Hope this helps! :)
What is the slope of this segment ?
Answer:
divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
Step-by-step explanation:
That up there please heeeeelp
Answer:
A(2)
Step-by-step explanation:
X=91° and y=42° what is z?
Here, we just need to add x and y and subtract it from 180.
x + y = 91 + 42 = 133.
180 - 133 = 47.
Hence, z = 47 degrees.
Answer:
47°
Step-by-step explanation:
straight line = 180° we remove the angles x and y and find z
180 - 91 - 42 =
47°
Describe the transformations of the following equation:
Captionless Image
reflect over x-axis, left 2, up 2
reflect over y-axis, left 2, up 2
left 2, up 2
reflect over x-axis, right 2, up 2
The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.
The given function is a logarithmic function and it is undefined at x = 0.
First, let us understand the logarithmic function:
A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.
We are given:
p(x) = log 5x
substitute x = 0 in the above equation, we will get;
p(0) = log 5 × 0
p(0) = log 0
p(0) = undefined
Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.
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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.
Captionless Image
p(-2) > p(0)
p(-2) < p(0)
p(-2) and p(0) cannot be compared because p(-2) is undefined.
p(-2) and p(0) cannot be compared because p(0) is undefined.
The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
In the metric system each unit is ten times the size of the next smaller unit is this true or false?
This statement is false about metric system.
What is metric system?
matric systemare a group of two or more Lewis structure that represents a single polyatomic species.
Resonance is the ability of system to moves it's pi electron to the system .
Resonance structure are more significant beacuse they provide a much more realistic views of the shape of a molecule.
Each individua matric system is average into a resonance which is both true shape of the molecule .
Thus this statement is false about memetrictric system.
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) Quantifier negation.
Form the negation of the following statements. Then apply De Morgan’s law and/or conditional law, when
applicable. Negation should appear only within predicates, i.e., no negation should be outside a quantifier
or an expression involving logical connectives. Show all steps.
a) ∀x (P(x) ∧ R(x))
b) ∀y∃z(¬P(y) → Q(z))
c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))
The negations of the given statements with the application of De Morgan's law and/or conditional law.
a) ∃x (¬P(x) ∨ ¬R(x))
De Morgan's law:
∃y ∀z(¬P(y) ∧ ¬Q(z))
b) ∃y ∀z(¬P(y) ∧ ¬Q(z))
The double negation:
∃y ¬∃z(P(y) ∨ Q(z))
c) ¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))
The conditional law:
¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))
Let's form the negation of the given statements and apply De Morgan's law and/or conditional law, when applicable:
a) ∀x (P(x) ∧ R(x))
The negation of this statement is:
∃x ¬(P(x) ∧ R(x))
Now let's apply De Morgan's law:
∃x (¬P(x) ∨ ¬R(x))
b) ∀y∃z(¬P(y) → Q(z))
The negation of this statement is:
∃y ¬∃z(¬P(y) → Q(z))
Using the conditional law, we can rewrite the negation as:
∃y ¬∃z(¬¬P(y) ∨ Q(z))
c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))
The negation of this statement is:
¬∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))
Using the conditional law, we can rewrite the negation as:
¬∃x (P(x) ∨ (∀z (R(z) ∨ ¬Q(z))))
Applying De Morgan's law:
¬∃x (P(x) ∨ (∀z ¬(¬R(z) ∧ Q(z))))
Simplifying the double negation:
¬∃x (P(x) ∨ (∀z ¬(R(z) ∧ Q(z))))
Using De Morgan's law again:
¬∃x (P(x) ∨ (∀z (¬R(z) ∨ ¬Q(z))))
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HELP ASAP I WILL MARK BRAINLIEST!!!
Find the surface area of the sphere.
r=3 cm
Formulas for Spheres
S.A. = 41r2
V=far S.A. = [?] cm2
Round to the nearest tenth.
Answer: 113.0cm²
Step-by-step explanation:
The surface area if a square is calculated as:
= 4πr²
where, radius = 3cm
Surface area = 4πr²
= 4 × 3.14 × 3²
= 4 × 3.14 × 9
= 113.04
= 113.0cm²
Therefore, the surface area is 113.0cm²
Based on the chemical equation, use the drop-down menu to choose the coefficients that will balance the chemical
equation:
H₂0H₂ + O₂
2, 2, 1 use the drop-down menu to choose the coefficients that will balance the chemical equation.
How do chemical equations work?
These equations employ chemical symbols and formulae to represent chemical reactions. The reactants are represented on the left side of a chemical equation, and the products are on the right.
The reactant entities are presented on the left hand side of a chemical equation, while the product entities are given on the right hand side.
Due to the fact that there are two oxygen atoms on the right side of the equation but only one on the left, the coefficient of H2O will be 2. As of right now, the right side only has two hydrogens whereas the left side has four. Adding a 2 as the H2 coefficient will bring the equation into balance. The equation already has a balanced state, therefore we don't need to adjust the O2 coefficient.
Final answer, 2, 2, 1.
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Three times a number, x, increased by four is equal to five times the number, x. Which equation can be used to solve for
O 3x+ 5x=4
O 3x+4= 5x
О 3x =4+5х
O 3x-4-5x
Solve the equation: x²-2x=8
Show all the Steps with explanation.
Answer:
x = 4, -2
Step-by-step explanation:
x^2-2x=8
Move the constant term to the right side of the equation.
x^2 - 2x = 8
Take half of the coefficient of x and square it.
(-2/2)^2 = 1
Add the square to both sides of the equation.
x^2 - 2x + 1 = 8 + 1
Factor the perfect square trinomial.
(x - 1)^2 = 9
Take the square root of both sides of the equation.
x-1=\(\sqrt{9}\)
x-1=±3
Isolate x to find the solutions.
Taking positive
x=3+1=4
x=4
Taking negative
x=-3+1
x=-2
The solutions are:
x = 4, -2
Answer:
\(x = -2,\;\;x=4\)
Step-by-step explanation:
To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:
\(x^2-2x-8=8-8\)
\(x^2-2x-8=0\)
Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.
The two numbers whose product is -8 and sum is -2 are -4 and 2.
Rewrite the coefficient of the middle term as the sum of these two numbers:
\(x^2-4x+2x-8=0\)
Factor the first two terms and the last two terms separately:
\(x(x-4)+2(x-4)=0\)
Factor out the common term (x - 4):
\((x+2)(x-4)=0\)
Apply the zero-product property:
\(x+2=0 \implies x=-2\)
\(x-4=0 \implies x=4\)
Therefore, the solutions to the given quadratic equation are:
\(\boxed{x = -2,\;\;x=4}\)
PLEASE HELP ITS MATH THANK YOUUUU
Zaraheams a weekly salary of $350 plus a commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold 51,500 worth of merchandise?
Zarah would earn $(blank)for that week
Answer choices
A.1,500
B.1,565
C.1,850
D.1,597.50
Answer:
$547
Step-by-step explanation: bc Zarah earns a weekly salary of $645 plus a commission of 6.5% on sales at the clothing store where she works. How much would she earn in one ...
Solve for X:
4/9 = x/22.5
Answer:
x = 10
Step-by-step explanation:
...................
y=mx+c where m and c are integers or fractions in their simplest forms
The equation of the graphed line is y = -1/3x - 5
How to determine the equation of the graphThe graph is added as an attachment
Using points on the graph to get the equation
Slope intercept form:
y= mx + b
From the graph, point (0, -5) we can see y-intercept is b = -5
An calculating the slope using two points (-6, -3) and (6, -7):
m = (-7 - (-3)) / (6 - (-6)) = -4 / 12 = -1/3
So the line is:
y = -1/3x - 5
Hence, the line equation is y = -1/3x - 5
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Complete question
What is the equation of this graphed line?
Enter your answer in slope-intercept form y=mx+c where m and c are integers or fractions in their simplest forms