The period of the function y = sin(3x) is (2π/3).
I assume you meant to write "y = sin(3x)".
The period of the function y = sin(3x) can be found using the formula:
period = 2π / b
where "b" is the coefficient of x in the function.
In this case, b = 3, so:
period = 2π / 3
Therefore, the period of the function y = sin(3x) is (2π/3).
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to evaluate which of a set of curves fits the data best, we can use: a. APE b. MAPE c. R2 d. NPV
To evaluate which of a set of curves fits the data best, you can use the option "c. R2", also known as the coefficient of determination.
R2 is a statistical measure that helps determine the proportion of variance in the dependent variable explained by the independent variable(s) in the regression model. It ranges from 0 to 1, with higher values indicating a better fit of the curve to the data.
To evaluate which of a set of curves fits the data best, we can use the R2 (coefficient of determination) metric. R2 is a statistical measure that represents the proportion of the variance in the dependent variable that is explained by the independent variable(s) in a regression model.
A higher R2 value indicates a better fit of the curve to the data. APE (absolute percentage error), MAPE (mean absolute percentage error), and NPV (net present value) are not appropriate metrics for evaluating the fit of a curve to data. APE and MAPE are typically used to measure forecasting accuracy, while NPV is a financial metric used to determine the present value of future cash flows.
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simplify 3(6-3) -2x2 + 15 /5
Answer: \(\frac{3(6-3)-2x^{2}+15 }{5} : \frac{-2x^{2}+24 }{5}\)
You're welcome.
Factor the polynomials, show your work. -3x^4 - 9x³ + 15x²; 3x² - 18x + 24; 2x² + 17x + 21; 3x² - 17x + 10; x² - 81; 4x² - 25b²; x² + 14x + 49; x² - 16x + 64 Thank you so much, I know its kind of a lot!
Answer:
hello : here is an solution
Step-by-step explanation:
What is the value of x?
Enter your answer, as a decimal, in the box.
Answer:
to find x you will substract 81.9 and 32
81.9-32
the answer will be 49.9
A radio is on sale for $50. If the price represents a 10% discount from the original price, what is the original price to the nearest nickel?
Answer:
Ok, so the discount is given in a percentage, in this case 10%. The sale price is going to reflect 10% of the original price minus the discount, so...
Sale $ = original$ - original $ x .10
If we use some algebra, we can reorganize the equation to solve for the original price...
Sale $ = original$ - original $ x .10
Sale $ = original$ (1 - .10)
Sale $ = original$ x .90
original$ = sale$/.90
So now we can plug in our values
original price = 50/.90
original price = 55.55555 = $55.55 to the nearest nickel
Pleas help me with this equation
what is 21 x ? =7
The value of x is 1/3
Expressions and equationsEquations are expressions separated by an equal sign
Given the following equation
21x = 7
We are to find the value of x. Divide both sides by 21
21x/21 = 7/21
x = 7/21
x = 1/3
Hence the value of x is 1/3
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A girl travels from garage a for 59km ti garage b on a bearing of 037degree and then turn right through 90degree and travels for 119km to garage c what is the bearing frim c from a if ac is 138km
The bearing from C to A of the given travel path is gotten as; 100.63°
How to calculate the bearing?From the bearing image attached, we can use trigonometric ratios to get;
tanx = opp/adj
x = 53 + θ ---------- eqn(1)
opp = 119
adj = 59
Thus;
tan x = 119/59
tan x = 2.0169
x = tan⁻¹(2.0169)
x = 63.63°
From eqn (1), we have;
θ = x - 53
θ = 63.63 - 53
θ = 10.63°
Thus, the bearing from C to A = 90 + 10.63 = 100.63°
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Find the x,y,z
For 10points
Answer:
x = y = 110°z = 70°Step-by-step explanation:
You want to know angles x, y, and z in the given figure where parallel lines 'a' and 'b' are crossed by a transversal. The sum of these angles is 290°.
Consecutive interior anglesAngles y and z are called consecutive interior angles. As such, they are supplementary, so their sum is 180°.
x + y + z = 290°
x + 180° = 290°
x = 110°
Vertical anglesAngles x and y are vertical angles, so are congruent.
y = x = 110°
Then z is found from ...
y + z = 180°
110° + z = 180°
z = 70°
The measures of x, y, and z are 110°, 110°, and 70°, respectively.
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Determine which letter best represents the expression divide 15 by B a. B divided by 15 b. 15 divided by be
Answer: 15/b
Step-by-step explanation:
N = 27 divided (4 + 5)
write the symbolic expression for each of the following descriptions, then get rid of the radical and make them exponential expressions in fractional form. 11. the eighth root of fifty seven to the sixth degree
The final exponential expression in fractional form for "the eighth root of fifty-seven to the sixth degree" is 57^(3/4).
To express the given description as a symbolic expression and then convert it into an exponential expression in fractional form, we'll follow these steps:
Step 1: Symbolic Expression
The description states "the eighth root of fifty-seven to the sixth degree." Let's denote this as √[57]^(1/8)^6.
Step 2: Removing Radical
To eliminate the radical (√), we can rewrite it as a fractional exponent. The numerator of the fractional exponent corresponds to the power (6) applied to the base, and the denominator corresponds to the index of the root (8).
So, the expression becomes (57^(1/8))^6.
Step 3: Simplifying Exponents
To simplify the exponent, we multiply the powers:
(57^((1/8)*6))
Simplifying further:
(57^(6/8))
Step 4: Fractional Form
The exponent 6/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:
(57^(3/4))
Therefore, the final exponential expression in fractional form for "the eighth root of fifty-seven to the sixth degree" is 57^(3/4).
This means that we raise 57 to the power of 3/4 to represent the original description. The fraction 3/4 indicates taking the eighth root of 57 and then raising it to the sixth power.
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A pile of newspapers in Mr. Moore’s ELA class was 17 ¾ inches high. Each consecutive week, for the next 5 weeks, the height of the pile of newspapers increases by 8 712 inches each week. What was the height, in inches , of the pile after 3 weeks? Step by step plz
Answer:
43 1/2
Step-by-step explanation:
answer will be:
original height plus 3 times 8 7/12 inches
3 times 8 7/12 can be done by converting the mixed number to an improper fraction:
\(\frac{3}{1}\) · \(\frac{103}{12}\) = \(\frac{103}{4}\) = 25 3/4
25 3/4 added to 17 3/4 equals 42 6/4 which is 42 + 1 1/2 = 43 1/2
a study is to be conducted to help determine whether a die is fair. how many degrees of freedom are there for a chi-square goodness-of-fit test?
The degrees of freedom for a chi-square goodness-of-fit test are calculated as the number of categories minus 1.
Suppose we wish to determine if an ordinary-looking six-sided die is fair, or balanced, meaning that each face has a probability of 1/6
of arrival on top when the die is tossed. We could toss the die dozens, maybe hundreds, of times and compare the actual number of times each face arrival on top to the scheduled number, which would be 1/6
of the total number of tosses. We would not expect each number to be exactly 1/6 of the total, but it should be close.
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A frequency distribution is a way to describe categorical data categorically.
O A. True
O B. False
Answer:
Its true
Step-by-step explanation:
make sure too look at the question you have and if its the same one, so if my answer was wrong for you then its because ur question was different from this one.
If f(x)=x³-2x²-73x-70, which of the following is not a factor of f(x)?
A) (x+1)
B) (x-10)
C) (x+10)
D) (x+7)
Answer:
C. (x + 10)
Step-by-step explanation:
Please complete. Due today
3 (n+7)
Answer:
3(n+7) =
(3)(n) + (3)(7) =
3n + 21
Step-by-step explanation:
I hope this helps you :D
One evening in snowed in several towns the number of inches of snow received are shown in the list below
Answer:
Please find the required line chart created with MS Excel
Step-by-step explanation:
Question:
The given data are;
3/4, 1 1/2, 2, 1 1/4, 3/4, 2, 1 1/2, 1 1/4, 1 1/2, 1/2, 1
In the question, it is required to create a line plot to represent the data
The given data can be sorted in ascending order in decimal form as follows;
0.5, 0.75, 0.75, 1, 1.25, 1.25, 1.5, 1.5, 1.5, 2
The line chart created with MS Excel is attached.
Answer:
3/4, 1 1/2, 2, 1 1/4, 3/4, 2, 1 1/2, 1 1/4, 1 1/2, 1/2, 1
In the question, it is required to create a line plot to represent the data
The given data can be sorted in ascending order in decimal form as follows;
0.5, 0.75, 0.75, 1, 1.25, 1.25, 1.5, 1.5, 1.5, 2
Step-by-step explanation:
If you select one card at random from a standard deck of 52 cards, what is the probability of that card being a 3, 4, OR 5?
Since we have four three cards, four four cards and four five cards, this means that we have 12 possibilities out of 52; that is the probability is:
\(P=\frac{12}{52}=\frac{3}{13}\)Therefore the probability is 3/13
Which equation has the greatest rate of change?
y=12x-7
y=5x+9
y=4x+12
y=X+36
Answer:
y=12x-7
Step-by-step explanation:
Rate of change is the same thing as slope which can be found by looking at the value before the x. Since 12 is the largest number, it has the largest rate of change.
Facts, statistics, numerical data, quotations, specific examples, and expert opinions that support a claim are called:reasonevidencerebuttalstructural element
The correct that refers Facts, statistics, numerical data, quotations, specific examples, and expert opinions that support a claim are called evidence.
The term numerical data refers the data which is in the form of numbers, and not in any language or descriptive form.
Here we have to find the suitable term for the statement "Facts, statistics, numerical data, quotations, specific examples, and expert opinions that support a claim are called".
While we have looking into the given statement, we have identified the following from it,
factsstatistics, numerical data, quotations, specific examples, and expert opinionsWhen we look into the meaning of each one we have identified that each of them are acted as the proof to prove the thing is liable.
So, all these things are collectively called as evidence.
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every rational number has a decimal expansion, so we could apply this same argument to show that the set of rational numbers between 0 and 1 is uncountable. however, because we know that any subset of q must be countable, the proof of theorem 1.6.1 must be flawed.
Every rational number can be expressed in decimal form. This argument cannot be used to demonstrate that rational numbers between 0 and 1 are countable. We frequently use this fact to demonstrate that rationals are countable since every rational number has a decimal representation that terminates on a non-teminating repeating sequence.
Rational number:
P/Q is the format for rational numbers, where p and q are open-ended integers and q 0. Thus, natural numbers, whole numbers, integers, fractions of integers, and decimals are all examples of rational numbers (terminating decimals and recurring decimals). The word "ratio" is where the word "rational" first appeared. Rational numbers are therefore closely tied to the idea of fractions, which stand for ratios. In other terms, a number is a rational number if it can be written as a fraction in which the numerator and denominator are both integers.
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Part 1: Use the first 4 rules of inference to provide
logical proofs with line-by-line justifications for the following
arguments.
(2) 1. A > (E > ~F)
2. H v (~F > M)
3. A
4. ~H /E > M
To provide Logical Proofs with line-by-line justifications for the following arguments,
Let's use the first 4 rules of inference.
Given below is the justification for each step of the proof with the applicable rule of Inference.
E > M1. A > (E > ~F) Premise2. H v (~F > M) Premise3. A Premise4. ~H Premise5. A > E > ~F 1, Hypothetical syllogism6.
E > ~F 5,3 Modus Ponens 7 .
~F > M 2,3 Disjunctive Syllogism 8.
E > M 6,7 Hypothetical SyllogismIf
A is true, then E must be true because A > E > ~F.
Also, if ~H is true, then ~F must be true because H v (~F > M). And if ~F is true,
Then M must be true because ~F > M. Therefore, E > M is a valid based on the given premises using the first four rules of inference.
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which property is shown by 2 + 0 = 2
A. Associative Property of Addition
B. Commutative Property of Addition
C. Distributive Property
D. Identify Property of Addition
The property shown in 2 + 0 = 2 is the Identify Property of Addition
How to name the property shown?The expression is given as:
2 + 0 = 0
The Identify Property of Addition property states that
a * 0 = a
This means that the property shown is the Identify Property of Addition
Hence, the property shown in 2 + 0 = 2 is the Identify Property of Addition
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How many yards are in 126 feet?
1 yard = 3 feet
the scores on a statistics test had a mean of 81 and a standard deviation of 9. one student was absent on the test day, and his score wasn’t included in the calculation. if his score of 84 was added to the distribution of scores, what would happen to the mean and standard deviation?
Considering the concepts of the mean and the standard deviation, we have that:
The mean would increase.The standard deviation would remain constant.What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.When the measure of 84 is added, we have that:
A measure greater than the mean is added, hence the mean would increase.The difference squared between 84 and the mean of 81 is of 9, which is the same as the standard deviation, which would remain constant.More can be learned about the mean and the standard deviation of a data-set at https://brainly.com/question/26941429
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Which sentence(s) are the correct interpretation sentences for the TV problem above. Check all sentence that would be correct. A total of 500 TVs can be sold if the price is set at $190. When the price for the TV is $190, there are 500 TVs sold. A total of 190 TVs can be sold if the price is set at $500. When the price for the TV is $500, there are 190 TVs sold.
The correct interpretation sentences for the TV problem above are:- A total of 500 TVs can be sold if the price is set at $190.
- When the price for the TV is $190, there are 500 TVs sold.
The other sentence "A total of 190 TVs can be sold if the price is set at $500. When the price for the TV is $500, there are 190 TVs sold" is not correct as it has the price and the quantity of TVs sold reversed.
In interpretation, it is important to pay attention to the context and the logic of the problem to ensure that the sentence accurately reflects the information provided. In this case, the correct interpretation sentences reflect the relationship between the price and the quantity of TVs sold. These sentences help to clarify the information and provide a clear understanding of the problem.
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About what percent of the x values from a normal distribution lie within two standard deviations (left and right) of the mean of that distribution?
According to the given information, about 95% of the x values from a normal distribution lie within two standard deviations (left and right) of the mean of that distribution.
What is Normal distribution?
Normal distribution, also known as Gaussian distribution or bell curve, is a probability distribution that describes the random variation of a continuous variable in a population.
In a normal distribution, about 68% of the values lie within one standard deviation of the mean, about 95% of the values lie within two standard deviations of the mean, and about 99.7% of the values lie within three standard deviations of the mean.
Therefore, about 95% of the x values from a normal distribution lie within two standard deviations (left and right) of the mean of that distribution.
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Question:
About what percent of the x values from a normal distribution lie within two standard deviations (left and right) of the mean of that distribution?(Enter an exact number as an integer, fraction, or decimal.)
Find g(3), given that g is a linear function with g(1)=-2 and g(4)=8
Answer:
14/3
Step-by-step explanation:
linear equation slope passing (1,-2), (4,8)= 8-(-2) / 4-1 = 10/3
g=10/3 x +b, substitute (1,-2) to solve b
-2=10/3 (1) +b, b=-16/3
thus, g=10/3 x - 16/3
when x=3, g=14/3
Explain and demonstrate how to convert 17% to a decimal
Question 37: Find rectangular coordinates for the point with polar coordinates (2, 5π/6).
SOLUTION:
\(\begin{gathered} \text{The opposite side of the triangle is }2\sin \frac{\pi}{6} \\ \text{The adjacent side is -2 }\cos \frac{\pi}{6} \end{gathered}\)\(\begin{gathered} \text{Upon simplification;} \\ x\text{ = -}\sqrt[]{3}\text{ and y = 1} \\ (-\sqrt[\square]{3,}\text{ 1)} \end{gathered}\)