Step-by-step explanation:
the average rate of change of a function f in an interval [x-low, x-high] is
(f(x-high) - f(x-low)) / (x-high - x-low)
the year 2000 means t = 2000-1980 = 20
the year 2015 means t = 2015-1980 = 35
so, we have
(A(35) - A(20)) / (35 - 20)
((-0.6(35)² + 37.2×35 + 243) - (-0.6(20)² + 37.2×20 + 243)) / 15
((-735 + 1302 + 243) - (-240 + 744 + 243)) / 15
(810 - 747) / 15 = 63/15 = 4.2
the average change rate between 2000 and 2015 is 4.2.
that means that the use of nuclear energy in the USA increased by 4.2 billions of kilowatt hours per year during that period.
what was the most inaccurate version of pi? explain who, when and what the value was.
The value of pi is known to over 31 trillion decimal places, thanks to the use of powerful computers and sophisticated algorithms.
Describe about the history of pi?The history of pi dates back thousands of years, and over time, various civilizations have attempted to calculate its value with varying degrees of accuracy. One of the most inaccurate versions of pi was recorded by the ancient Babylonians around 2000 BC.
The Babylonians calculated the value of pi as 3.125, which is off by more than 6% from the actual value. It is believed that the Babylonians arrived at this value by using a rough approximation of a circle as a hexagon. They measured the perimeter of the hexagon and divided it by the diameter to get their approximation of pi.
This value was later refined by the ancient Egyptians and Greeks, who were able to calculate pi with greater accuracy. The Greek mathematician Archimedes, for instance, was able to calculate pi to within 1% accuracy by using a method of exhaustion.
It wasn't until the development of calculus in the 17th century that mathematicians were able to derive an exact formula for pi. Today, the value of pi is known to over 31 trillion decimal places, thanks to the use of powerful computers and sophisticated algorithms.
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if michigan has a strictness level equal to 50 and has more than 55 available hospitals, what is the expected number of new cases per 100,000 in michigan according to the multiple regression model? round your answer to the nearest whole number (no decimal places).
The expected number of new cases per 100,000 in Michigan according to the multiple regression model is 930
In statistics, multiple regression model refers a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables.
Here we have given that if Michigan has a strictness level equal to 50 and has more than 55 available hospitals,
And we need to find the expected number of new cases per 100,000 in Michigan according to the multiple regression model.
While we looking into the given question, we have identified the value of
Strictness level = 50
Available hospital = 55
New cases per day = 100,000
Then the expected number is calculated by using the multiple regression model is written as,
=> 50x + 55y ≤ 100,000
When we solve it graphically, then we get, the graph like the following,
As per the given graph, the expected number is 930.
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The height of the building is :
(i) 120 feet
(ii) 96 feet
(iii) 40 feet
Please someone help me with this question.
Relationships between two categorical variables are less evident when the data is expressed in counts rather than percentages. True or False
The statement "Relationships between two categorical variables are less evident when the data is expressed in counts rather than percentages" is false. Categorical variables are those that divide a population into groups. These groups can be classified into one of two categories: nominal or ordinal. The nominal category does not have an intrinsic order, whereas the ordinal category does.
Categorical data is a data type that is collected from observations that are grouped into categories with numerical figures. These variables are frequently defined in nominal terms. The data is expressed in percentages or proportions in a categorical data table instead of counts. When analyzing categorical data, it is best to use percentages, as these provide a better picture of the underlying relationship.
Therefore, relationships between two categorical variables are more evident when data is expressed in percentages rather than counts. When percentages are utilized, it is more straightforward to understand the relationship between two categorical variables. An example of categorical data is the top 150 movies of all time.
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A car averages 32 mpg. Gas costs $1. 97 per gallon. How much would it cost to pay for the gas if this car made a trip of 866 miles?.
The cost to pay for the gas if this car made a trip of 866 miles cost is $53.31.
A car averages 32 mpg and gas costs $1.97 per gallon.
By unitary method for 866 miles, average would be,
= 866/32
= 27.0625 miles per gallon
and the cost to pay for the gas if this car made a trip of 866 miles would be,
= 27.0625 × $1.97
= $53.31
Therefore, the cost to pay for the gas if this car made a trip of 866 miles cost is $53.31.
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what is the slope of the line passing through (2,9) and (2,-14)
Answer:
The slope is undefined
Step-by-step explanation:
When graphed, the two points form a vertical line, since we can't divide the slope by zero thw slope is considered as undefined
pls help if you can asap!!!!
Answer: x= 6
Step-by-step explanation:
Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.
You can see they do not look the same so they add up to equal 180
12x + 3 +105 = 180
12x + 108 = 180
12x = 72
x = 6
Find WZY. (helpp fast)
Answer:
\(m\angle WZY = 24^\circ\)
Step-by-step explanation:
Angles and Lines
The figure shows two triangles WXZ and WYZ. Considering:
* Angles WXZ and WYZ are right (90°)
* Sides XW and YW are congruent (red marker on both)
* They share the side WZ.
We can conclude they are congruent. Thus, angles XZW and YZW are congruent or have the same measure:
5x + 4 = 6x
Subtracting 5x:
4 = x
Or, x =4
Thus:
\(m\angle WZY = 6x = 24^\circ\)
\(\mathbf{m\angle WZY = 24^\circ}\)
Will the solution (-3,-7) make the following system of equations a true statement.
y = 4x + 5
y=4 - 4
No
Yes
Answer:
Yes
Step-by-step explanation:
If you mean the equation
y = 4x + 5
y = x - 4
then yes
[WILL GIVE BRAINLIEST!!]
Write a trigonometric function for the sinusoid shown.
The sine function for this problem is defined as follows:
y = 2sin(2x).
How to define the sine function?The sine function for this problem is defined as follows:
y = Asin(B(x - C)) + D.
The parameters are described as follows:
A is the amplitude.The period is of 2π/B.C is the phase shift.D is the vertical shift.The function has a minimum value of -2 and a maximum value of 2, for a difference of 4, hence the amplitude is obtained as follows:
2A = 4
A = 2.
The period is of π, hence the coefficient B is given as follows:
2π/B = π
B = 2.
The function does not have a phase shift (when x = 0, y = 0), neither a vertical shift (between 2 x -1 = -2 and 2 x 1 = 2), hence it is defined as follows:
y = 2sin(2x).
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Which relation is not a function?
5
O A.
3
4
B. (19,11), (6,16), (9, 10). (5,18),
(4,7), (16,4)}
O c. x 14 7
21 28 35
y 7
14 7
35 21
O D. {(19, 11),(4,9), (19,10), (8, 18),
(5,3), (15, 17)
Answer:
Option D i.e. {(19, 11), (4, 9), (19, 10), (8, 18), (5, 3), (15, 17)} is correct option.
Step-by-step explanation:
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
If we carefully analyze the options A, B, and C, all the options represent the function because all of them represent a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
Considering the given relation in option D
{(19, 11), (4, 9), (19, 10), (8, 18), (5, 3), (15, 17)}
If we carefully analyze the option D, we can easily determine that the value of x = 19 is repeated twice.
In other words, the x-value x = 19 is duplicated.
We know that we can not have duplicated inputs as there should be only 1 output for each input.
Therefore, the relation {(19, 11), (4, 9), (19, 10), (8, 18), (5, 3), (15, 17)} DOES NOT represent the function.
Hence, option D i.e. {(19, 11), (4, 9), (19, 10), (8, 18), (5, 3), (15, 17)} is correct option.
an arrow is horizontally projected from the top of a tower with an initial velocity of 18m/s if it reaches the ground 7s later, calculate the height of the tower (take g=10m/s²)
Answer:
x[f]=at^2/2+v[i]t+x[i]
Brackets dennote a subscript.
You're given x[f], a, t,and v[i]. You can just plug in their values into the formula and solve for x[i]. The horizontal velocity is irrelevant, the height of the tower is the initial position of the arrow, and final position is gonna be when it reaches the ground,or 0.
HELP! will mark branniest answer!
Answer:
X=-7
Step-by-step explanation:
X+37+x+67=90
2x+104=90
2x=-14
X=-7
2. What value of x makes the equation below true?
12 + 2x + 12
(a) Not possible
(b) 0
(c) 12
(d) -12
What is the solution to the system of equations: y = -2x – 3 5x = -4+ y
Answer:
they are both simplified already, theres nothing else you can do with them
Step-by-step explanation:
im not sure exactly what they are looking for but there is nothing else you can do there except put it in different froms like slope intercept and standard form
The solution to the system of equations is x = -1 and y = -1
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
y = -2x - 3 be equation (1)
5x = -4 + y
Adding 4 on both sides , we get
y = 5x + 4 be equation (2)
On simplifying the equations , we get
5x + 4 = -2x - 3
Adding 2x on both sides , we get
7x + 4 = -3
Subtracting 4 on both sides , we get
7x = -7
Divide by 7 on both sides , we get
x = -1
Substituting the value of x = 1 in equation (2) , we get
y = 5 ( -1 ) + 4
y = -5 + 4
y = -1
Therefore , the value of x and y are -1 respectively
Hence , the system of equations are solved
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Helppppppppppppppppp
Answer:
B
Step-by-step explanation:
B, because -9.2 = -4.5, which is less than -4.12. Also, 17/4 = 4.25 is less than sqrt(20), which is 4.4721
5- For the regression equation 9 = 7 - 1.2x the predicted value y when x=4is? a) 0 b) 2.2√ c) 3.4 $1.6 6- If A and B make a partition of the sample space, (i. e AUB-S). Then the probability that at
For the regression equation 9 = 7 - 1.2x the predicted value y when x=4 is (b) 2.2√ is the predicted value of y.
The regression equation 9 = 7 - 1.2x is given. The task is to find the predicted value y when x = 4. Let's find out:
Putting x = 4 in the regression equation: 9 = 7 - 1.2x
⇒ y = 7 - 1.2(4)
⇒ y = 7 - 4.8
⇒ y = 2.2
Therefore, when x = 4, the predicted value of y is 2.2. Hence, the option (b) 2.2√ is correct.
Next, the second question is incomplete and the options are not provided. Please provide the complete question and options so that I can assist you better.
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5- For the regression equation 9 = 7 - 1.2x the predicted value y when x=4is? a) 0 b) 2.2√ c) 3.4 $1.6 6- If A and B make a partition of the sample space, (i. e AUB-S). Then the probability that at least one of the events occur is equal to a) 0 b) 0.25 c) 0.50 7- Let X be a continuous random variable and pdf f(x)=, 0sxs3 then P<X<D) is: a)- b) 8- If X is a discrete random variable with values (2, 3, 4, 5), which of the following functions is the probability mass function of X: C) IS
The predicted value of y when x=4 for the regression equation 9 = 7 - 1.2x is 2.2.
Explanation:
Given the regression equation: 9 = 7 - 1.2x, we need to find the predicted value of y when x=4.
To do this, we substitute x=4 into the equation and solve for y.
Substituting x=4 into the equation, we have:
9 = 7 - 1.2 × 4
9 = 7 - 4.8
9 = 2.2
Therefore, the predicted value of y when x=4 is 2.2.
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find the first partial derivatives of the function. w = ln(x 6y 8z) ∂w ∂x = ∂w ∂y = ∂w ∂z =
The first partial derivatives of the function is ∂w/∂x = 48y/ (x 6y 8z)
∂w/∂y = -48xz/ (x 6y 8z)
∂w/∂z = 48xy/ (x 6y 8z)
To find the first partial derivatives of the function w = ln(x 6y 8z), we need to differentiate w with respect to x, y, and z separately, while treating the other variables as constants.
So,
∂w/∂x = 1/(x 6y 8z) * (6y * 8z) = 48y/ (x 6y 8z)
∂w/∂y = 1/(x 6y 8z) * (x * (-6) * 8z) = -48xz/ (x 6y 8z)
∂w/∂z = 1/(x 6y 8z) * (x * 6y * 8) = 48xy/ (x 6y 8z)
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Mhanifa please help! This is due in 1 hour! I will mark brainliest! Random answers will be reported
Answer:
m∠M = 33°Step-by-step explanation:
Given
ΔXYZ ≅ ΔMNLCorresponding angles are congruent:
∠X≅∠Mm∠X = m∠Mm∠X = 33° ⇒ m∠M = 33°Will award brainliest if answer quickly! Which expression is equivalent to startroot 2 endroot divided by 3 startroot 2 endroot? 1/4,
6 startroot 2 endroot,
startroot 2 endroot,
startroot 2 endroot divided by 2
Answer:
The simplified answer to the given equation is 6√2
Step-by-step explanation:
First, we must simplify the radicals in the equation.
√2 = 1.414213562
∛2 = 1.25992105
Now, we divide these numbers. You can divide it this way or you can divide it using a calculator.
√2 ÷ ∛2 = 1.122462048
Now, let;s look at our answer choices. We can immediately cross out A because 1/4 equals 0.25. Let's look at the others.
6√2 = 1.22462048
So, our answer here is answer choice B.
A sociedade brasileira de pediatria recomenda limitar o tempo máximo de telas e jogos de videogames a três horas por dia, para adolescentes com idades entrar 11 e 18 anos Este tempo máximo, se usado todos os dias, representa, dos 11 aos 18 anos, um total de horas que equivale a A) 1 ano B) 3 anos C) 6 anos D) 7 anos E) 8 anos
Responder:
A) 1 ano
Explicação passo a passo:
Tempo máximo de tela = 3 horas / dia
Número de anos entre 11 e 18 anos = 8 anos
Vamos calcular o número de tempo de tela em um ano:
Número de dias em um ano = 365
Horas de uso em um ano:
3 horas / dia * 365 dias = 1.095 horas
Horas de uso em 8 anos:
1.095 horas * 8 = 8.760 horas
Convertendo o número de horas em anos:
Número de horas em um ano:
24 horas * 365 dias = 8760 horas por ano
Anos de tempo na tela:
Número de horas em 8 anos / número de horas em um ano
8760/8760 = 1 ano
120 men had provisions for 200 days. After 5 days, 30 men died due to an epidemic. The remaining food will last for _______________ Proportion (a) 146 1/4 days (b) 150 days (c) 2251/2 days (d) 260 days
Answer:
the answer is 150 days
Step-by-step explanation:
that is the answer
Which could be the dimensions of a rectangular prism whose surface area is less than 160 square feet? Select two options.
Answer: First option
Step-by-step explanation:
Answer:
The correct answer is A. 8 feet by 4 feet by 3 feet & E. 3 feet by 5 feet by 7 feet
Step-by-step explanation:
Hope this helps! Have a great rest of your day/night! :)))
Arrange the matrices in increasing order of their determinant values.
Answer:
c, a, b
Step-by-step explanation:
Given
See attachment for matrices
(a)
\(D = \left[\begin{array}{cc}\cos\theta &\sin\theta\\ -\sin\theta& \cos\theta\\\end{array}\right]\)
The determinant of the matrix is:
\(|D |= (\cos\theta * \cos\theta - \sin\theta *- \sin\theta)\)
\(|D | = \cos^2\theta + \sin^2\theta\)
Using trigonometry ratio, we have:
\(|D | = 1\)
(b)
\(\left[\begin{array}{ccc}2&0\\0&2\end{array}\right]\)
The determinant of the matrix is:
\(|D| = 2 * 2 - 0 * 0\)
\(|D| = 4 - 0\)
\(|D| = 4\)
(c)
\(\left[\begin{array}{ccc}0&i\\-i&0\end{array}\right]\)
The determinant of the matrix is:
\(|D| = 0 * 0 -(-i * i)\)
\(|D| = 0 +i^2\)
\(|D| = i^2\)
In complex numbers
\(i^2 = -1\)
So:
\(|D| = -1\)
So, the order of the determinants is: c, a, b
Solve the inequality. −4x≤−48
Answer:
x≤12
Step-by-step explanation:
-48/-4=12 and the symbol means less than or equal to.
40-32 dived by 8+5-2
39
40-32÷8+5-2
40-4+3
40-1
39
The superintendent of a large school district wants to estimate the percent of district residents who support the building of a new middle school. To gather data, the superintendent will select a random sample of district residents.Which of the following is the most appropriate method for creating such an estimate? *
A one-sample z -interval for a sample proportion
A two-sample z -interval for a difference between population proportions
A two-sample z -interval for a population proportion
A one-sample z -interval for a difference between population proportions
A one-sample z -interval for a population proportion
According to the hypothesis test, the option that gives the most appropriate method for creating such an estimate is:
A one-sample z-interval for a population proportion.
What is the hypothesis test?He will test if there is enough support to build a new middle school, that is, if the population proportion that supports the building of a new middle school is greater than a threshold.
Only one sample is taken from the district residents, hence the correct option is:
A one-sample z-interval for a population proportion.
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Six times a number is at least four less than eight times the number. If x represents the number, which will help find the
number?
O6x<8x-4
O6x≤8x-4
O 6x28x-4
O 6x>8x-4
The number that represents Six times a number is at least four less than eight times the number is the expression 6x ≥ 8x - 4.
What is system of equations?
A system of equations, also referred to as a set of simultaneous equations or an equation system, is a finite set of equations for which we searched for the common solutions. Similar to single equations, a system of equations can also be categorised. In everyday life, systems of equations are used to model situations where the unknown values can be represented by variables.
A system of equations is made up of two or more equations with the same variables. A solution to an equation system is the point at which the lines intersect.
According to given question, x represents the number
So, The number would be 6x ≥ 8x - 4
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Molly earns $8.00 an hour at her job.
-Part 1 out of 2-
Let x represent the number of hours that Molly works.
Write a function using x and f(x) that describes
Molly's pay for working x hours.

F(x) =________
The function is f(x) = 8x which represents Molly's pay for working x hours if Molly earns $8.00 an hour at her job.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Molly earns $8.00 an hour at her job.
Let x represent the number of hours that Molly works.
Molly's pay for working x hours.
f(x) = 8x
Thus, the function is f(x) = 8x which represents Molly's pay for working x hours if Molly earns $8.00 an hour at her job.
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While assessing an adult client, the nurse observes an elevated, palpable, solid mass with a circumscribed border that measures 0.75 cm. The nurse documents this as a:
The nurse would document the observed findings as a "0.75 cm elevated, palpable, solid mass with a circumscribed border."
When documenting the observed findings, the nurse provides a description of the characteristics of the mass. Here's an explanation of the terms used in the documentation:
Elevated: This means that the mass is raised above the surrounding tissue. It indicates that the mass is not flat or flush with the skin or underlying structures.
Palpable: This means that the nurse can feel the mass by touch. It suggests that the mass can be detected through physical examination or palpation.
Solid: This indicates that the mass has a firm consistency, as opposed to being fluid-filled or soft. It suggests that the mass is composed of dense tissue or cells.
Circumscribed border: This means that the mass has a well-defined or clearly demarcated edge or boundary. It indicates that the mass is distinguishable from the surrounding tissue, with a distinct border between the mass and normal tissue.
The measurement of 0.75 cm refers to the size or diameter of the mass. It provides information about the dimensions of the mass and is helpful for monitoring any changes in size over time.
By documenting these characteristics, the nurse provides important details about the appearance and features of the observed mass, which can aid in further assessment, diagnosis, and treatment planning.
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