really need help please ASAP The graph of a function is shown below.
Use the graph of the function to find its average rate of change from x=0 to x=3
Simplify your answer as much as possible.
accualy in math one but they dont have 9th grade on hear.
Answers
As a result, the function's average rate of change from x = 0 to x = 3 is 4/3 as the average rate of change of the function from x = 0 to x = 3.
what is function ?A function is a rule in mathematics that links every element of one set, known as the domain, to a certain element of some other set, known as the range. A function is just a relationship between the values of the input and the output, where the outcome specifically depends on the input. A function can be depicted in a number of different ways, including as an equation, a chart, or a list of values. For instance, the function f(x) = 2x multiplies the input value x by two to get the output value f. (x). The range of this function is indeed the set of all real numbers, and its domain is any set of real numbers.
given
To determine (3, f(3)) on the function graph the average rate of change of the function from x = 0 to x = 3.
According to the graph, the point (0, f(0)) is on the y-axis and has a y-coordinate of 2, while the point (3, f(3)) is on the line that connects the points (2, 0) and (4, 6) and has a slope of m = 3. As a result, we have:
f(0) = 2 and f(3) = 6
We can determine the slope of the line connecting these two points using the slope formula:
m = (f(3) - f(0)) / (3 - 0) = (6 - 2) / 3 = 4/3
As a result, the function's average rate of change from x = 0 to x = 3 is 4/3 as the average rate of change of the function from x = 0 to x = 3.
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Related Questions
FH bisects ZEFG. Find the indicated
angle measures.
m/GFH=71°. Find m/EFH and
m/EFG.
m/EFH=
m/EFG =
Answers
From the information provided the measure of the angles are given as,
m ∠EFH = 71; and m ∠EFG = 142°.
Angles are measured in degrees, which is why they are called "degrees". A complete circle equals 360 degrees, so it is divided into 360 parts. Each part of the revolution is a degree. Any angle, whether acute, obtuse, reflected or right, can be measured with a protractor. Although based on right angles, we are able to distinguish acute, obtuse or reflex angles. But if we have two acute angles to measure, we cannot determine the greater angle between the two. Therefore, we need to use a protractor to measure angles accurately.
According to the Question:
It is to be noted that
m ∠GFH = m ∠EFH
⇒ m ∠EFH = 71°
⇒ m ∠EFG = m ∠GFH + m EFH
Hence,
m ∠EFG = 71 + 71
= 142°
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prove using the well-ordering principle that two consecutive elements of fibonacci's sequence cannot both be divisible by 13. can you generalize your result?
Answers
Our assumption that two consecutive elements of the Fibonacci sequence can be divisible by 13 is false, and the proposition is proved.
We begin with the fact that the Fibonacci sequence is an increasing sequence; that is, each element is greater than the one before it.
The sequence is defined as follows:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155, 165580141, 267914296, 433494437, 701408733, 1134903170, 1836311903, and so on.
Now, let us prove the proposition by contradiction. Assume that there are two consecutive elements of the Fibonacci sequence that are divisible by 13. Then there must be some integer n such that:
F(n) = 13m, andF(n + 1) = 13p,
where m and p are integers.
Since the Fibonacci sequence is defined recursively by F(n) = F(n-1) + F(n-2), we can obtain an expression for F(n-2) in terms of F(n) and F(n-1):
F(n-2) = F(n) - F(n-1)Since F(n) and F(n-1) are both divisible by 13, their difference must also be divisible by 13.
Therefore, F(n-2) is divisible by 13 as well. However, this contradicts the well-ordering principle, which states that every non-empty set of positive integers has a least element.
Since the Fibonacci sequence is an increasing sequence, there must be some least element k such that F(k) is divisible by 13 but F(k-1) is not. But this means that F(k-2) cannot be divisible by 13, which contradicts our assumption that both F(n) and F(n-1) are divisible by 13.
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consider the pharmaceutical company that desires an estimate of the mean increase in blood pressure of patients who take a new drug. the blood pressure increases (measured in points) for the 6 patients in the human testing phase are shown below. 1.7 3.0 0.8 3.4 2.7 2.1 what assumptions must be made in order for a 95% confidence interval for the mean increase in blood pressure to be valid?
Answers
If below assumptions are not met, then the validity of the confidence interval may be compromised, and alternative methods may need to be used to estimate the mean increase in blood pressure.
Describe Sampling?In statistics, sampling is the process of selecting a subset of individuals or objects from a larger population for the purpose of studying or estimating certain characteristics of the population. The subset of individuals or objects is known as a sample.
Sampling is often used when it is impractical or impossible to collect data on the entire population. By studying a representative sample, statisticians can make inferences about the population as a whole with a certain level of confidence.
In order for a 95% confidence interval for the mean increase in blood pressure to be valid, the following assumptions must be made:
Random sampling: The patients included in the study must be selected at random from the population of interest (i.e. patients who would take the drug in the real world). This helps to ensure that the sample is representative of the population and reduces the risk of bias in the results.Independence: The measurements of blood pressure increases for each patient must be independent of each other. This means that the blood pressure increase for one patient should not be influenced by the blood pressure increase of another patient.Normality: The distribution of blood pressure increases in the population of interest should be approximately normal. This assumption is important because it allows us to use parametric statistical methods to estimate the mean increase in blood pressure and calculate the confidence interval.Equal variance: The variance of blood pressure increases should be approximately equal across the population of interest. This assumption is important because it allows us to use a pooled variance estimate in calculating the confidence interval, which can improve the precision of the estimate.If these assumptions are not met, then the validity of the confidence interval may be compromised, and alternative methods may need to be used to estimate the mean increase in blood pressure.
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J'K'L'M' is a translation of JKLM by
-6
(₂9).
2
a) What are the coordinates of K'?
b) What are the coordinates of M'?
vector
Y
4
2-
11
-10-9-8-7-6-5-4-3 -2 -10
-1-
-2-
نہ بن
-3-
-4
-5+
1 2
JK
3 4 5 6 7 8 9 10
X
M L
Answers
After answering the provided question, we can conclude that Therefore, the coordinates of M' are (11, -8).
what are coordinate ?In mathematics, a coordinate is a number or combination of integers that indicates the location of a point or object in space. Coordinates are frequently used to define a point or object's position in a specific coordinate system, such as the Rectilinear or polar coordinate systems. In the Cartesian coordinate system, a point is located by its distance from the origin along the x-axis and its distance first from origin along the y-axis. These distances are represented by two digits, the x-coordinate and indeed the y-coordinate. The point's position in the plane is specified by the two coordinates.
(x', y') = (x, y) - (a, b)
a) To find the coordinates of K', we need to use the above formula with (a, b) = (-6, 2) and (x, y) = (3, 4) (the coordinates of K in the original figure)
(x', y') = (x, y) - (a, b)
= (3, 4) - (-6, 2)
= (3 + 6, 4 - 2)
= (9, 2)
Therefore, the coordinates of K' are (9, 2).
(x', y') = (x, y) - (a, b)
= (5, -6) - (-6, 2)
= (5 + 6, -6 - 2)
= (11, -8)
Therefore, the coordinates of M' are (11, -8).
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a motorboat travels -3.4 miles per hour for 0.75 hours how far did it go
Answers
Answer:
239 miles in 0.75 of an hour
Step-by-step explanation:
The points Q(6, 3), R(-4,-3), S(-1,-8), and T(9,-2) form rectangle QRST.
Plot the points then click the "Graph Quadrilateral" button. Then find the area of the
rectangle.
Answers
The area of the rectangle is 136 square units.
What are quadrilateral graph ?
A quadrilateral graph is a graphical representation of a quadrilateral, which is a four-sided polygon. It is a coordinate system that uses a Cartesian plane, where the x and y axes are used to plot the four vertices of the quadrilateral. The four vertices of the quadrilateral are represented by four points on the graph, and the sides of the quadrilateral are represented by the line segments connecting the points. By examining the coordinates of the vertices and the lengths of the sides, we can determine the properties of the quadrilateral, such as whether it is a parallelogram, a rectangle, a square, a trapezoid, or a kite. Quadrilateral graphs are useful tools for visualizing and analyzing quadrilaterals in geometry.
To find the area of a rectangle, we need to know the length of two adjacent sides. Let's use the points Q and R to determine the length of the rectangle.
Length of QR = √((x₂- x₁)² + (y₂ - y₁)²)
= √((-4 - 6)²+ (-3 - 3)²)
= √((-10)²+ (-6)²)
= √(100 + 36)
= √(136)
Similarly, we can find the length of ST:
Length of ST = √((x₂ - x₁)²+ (y₂ - y₁)²)
= √((9 - (-1))² + (-2 - (-8))²)
= √((10)² + (6)²)
= √(100 + 36)
= √(136)
Since QR and ST are opposite sides of the rectangle and have equal length, we know that the rectangle is indeed a rectangle. Therefore, the area of the rectangle is simply the product of the length and width:
Area of rectangle = length * width
= √(136) * √(136)
= 136 square units
Hence, the area of the rectangle is 136 square units.
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- A gardener wants to enclose his rectangular garden with fencing. The garden
is 20 feet long and 8 feet wide. How many feet of fencing does the gardener
need?
Answers
Answer:
56 feet
Step-by-step explanation:
P = 2(1 + w)
P = 2(20 + 8)
P = 2(28)
2x28 = 56 feet
so the answer is 56 feet.
Answer:
P = 2l + 2w (2 times the length plus 2 times the width)
P = 2(40) + 2(20)
P = 80 + 40
P = 120 ft
You can also add the four sides together. (20 + 20 + 40 + 40
Step-by-step explanation:Since fencing the garden is the measure of perimeter of the garden and length and width of the rectangle are given, we find the perimeter of rectangle which is 2*width +2*length=2*20+2*40=40+80=120 feet of fence are needed.
What is the measure of angle x?
Answers
Answer:
Step-by-step explanation:So that is a right angle,which means the sum is 90 degrees.so you subtract 90 from 62 then you have your answer.
Answer:
x = 28°
Step-by-step explanation:
It is given that the full angle measurement is a right angle (90°), denoted by the blue(?) box.
Set the equation:
Total angle measurement (90) = x + 62
I~
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 62 from both sides of the equation:
90 (-62) = x + 62 (-62)
x = 90 - 62
x = 28
x = 28° is your answer.
~
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A concrete pillar has the shape of a cylinder. It has a diameter of 6 meters and a height of 7 meters. If concrete costs $116 per cubic meter, how much did the concrete cost for the pillar? For your calculations, do not round any intermediate steps, and use the button on a calculator. Round your answer to the nearest cent.
Answers
V = πr²h
where r is the radius of the base (which is half the diameter), and h is the height. So, for this pillar:
r = 6 meters / 2 = 3 meters
h = 7 meters
Substituting these values, we get:
V = π(3 meters)²(7 meters)
V = π(9 meters²)(7 meters)
V = π(81 meters³)
Using the value of π = 3.14159265359 (rounded to 11 decimal places), we can calculate the volume:
V ≈ 2,251.94671058 cubic meters
Multiplying the volume by the cost per cubic meter, we get the total cost of the concrete:
Total Cost = V × Cost per cubic meter
Total Cost = 2,251.94671058 cubic meters × $116/cubic meter
Total Cost ≈ $261,372.98
Rounding this to the nearest cent, we get the final answer:
The concrete cost for the pillar is approximately $261,372.98
Calcula el número de árboles que pueden plantarse en un terreno rectangular de 32m de largo y 28 m de ancho si cada planta necesita para descollarse 4m2
Answers
Por lo tanto, se pueden plantar 224 árboles en el terreno rectangular de 32m x 28m, considerando que cada árbol necesita 4m² para descollarse.
Para calcular el número de árboles que pueden plantarse en el terreno, primero necesitamos determinar el área total del terreno y luego dividirlo por el espacio requerido por cada árbol.
1. Calcula el área total del terreno rectangular:
Área = largo x ancho
Área = 32 m x 28 m
Área = 896 m²
2. Divide el área total entre el espacio requerido por cada árbol:
Número de árboles = Área total / Espacio por árbol
Número de árboles = 896 m² / 4 m²
Número de árboles = 224
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I NEED HELP ON THIS ASAP!!!!
Answers
Answer:a
Step-by-step explanation:
PLEASE ANSWER ASAP! How does the volume of a triangular prism change if it’s height is cut in half
Answers
Triangular prism formulas
volume = 0.5 * b * h * length , where b is the length of the base of the triangle, h is the height of the triangle, and length is prism length.
area = length * (a + b + c) + (2 * base_area) , where a, b, c are sides of the triangle and base_area is the triangular base area.
Your cell phone plan costs $39.99 plus $0.19 for each text message you send or receive. you have at most $49 to spend on your cell phone bill
Answers
Answer:
in image
Step-by-step explanation:
if it helped you please mark me a brainliest :))
Greg has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Greg's Jumble has
6
66 classical songs,
7
77 rock songs, and
9
99 rap songs on it.
What is
P(not a rap song
)
P(not a rap song)start text, P, left parenthesis, n, o, t, space, a, space, r, a, p, space, s, o, n, g, end text, right parenthesis?
If necessary, round your answer to
2
22 decimal places.
Answers
The Jumble is an MP3 player owned by Greg. The Jumble chooses music for the user to hear at random. Greg's Jumble features nine rap tracks, seven rock songs, and six classical songs. The probability of not selecting a rap song is 0.59.
The total number of songs on the Jumble is 6 + 7 + 9 = 22.
To find the probability of not selecting a rap song, we need to find the number of songs that are not rap songs, which is the sum of the number of classical and rock songs on the Jumble:
6 + 7 = 13
Therefore, the probability of not selecting a rap song is:
13/22
To round this to two decimal places, we can divide 13 by 22 using a calculator or long division to get:
0.59
Therefore, the probability of not selecting a rap song is 0.59 or 59%.
The complete question is:-
Greg has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Greg's Jumble has 6 classical songs, 7 rock songs, and 9 rap songs on it. What is P(not a rap song) If necessary, round your answer to 2 decimal places.
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2+2=4+4=8 how does that make sense, it just does.
Answers
It is not mathematically accurate to say that 2+2=4+4=8.
In arithmetic, 2+2 equals 4 and 4+4 equals 8, so each equation is evaluated separately. The sum of 2+2 and 4+4 is indeed 8, but they are not equal to each other.
Perhaps you meant it as a playful or creative statement, but from a mathematical standpoint, it is not accurate.
What is an arithmetic equation?
An arithmetic equation is a mathematical statement that uses arithmetic operations to relate two or more quantities. It typically involves addition, subtraction, multiplication, and division of numbers.
Arithmetic equations can take many forms, but they generally follow the pattern of a mathematical expression or formula that uses variables or numerical constants to represent quantities. The goal of solving an arithmetic equation is to determine the value of the variable that makes the equation true.
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Complete question is: It is not mathematically accurate to say that 2+2=4+4=8.
A cookie jar contains several cookies:
• 12 chocolate chip cookies
8 peanut butter cookies
.4 sugar cookies
Jace randomly selected a cookie from the jar.
What is the probability in decimal form that the cookie Jace selected was a chocolate chip cookie?
Answers
Answer:
.50 chance that she gets a chocolate chip cookie or 50 percent.
Step-by-step explanation:
half of all the cookies in the jar are chocolate chip cookies. 12/24 meaning that there is a 50/50 chance that she'll get a chocolate chip cookie
.50
WHOEVER ANSWERS FIRST gets BRAINLIEST! (If your wrong I will report.) What is the volume, in cubic inches, of 1 of the cubes? ALSO what is the surface area, in square inches, of the cubes?
Answers
The volume and the surface area of the prism is 6 and 22 square inches²
First, lets find the volume of the prism
Volume:
[tex]\text{Volume}=\text{(Area of the base)}\times\text{height}[/tex]
[tex]\text{Volume}=(3\times2)\times1[/tex]
[tex]\text{Volume}=6 \ \text{square inches}^2[/tex]
Since the volume of the prism is 6, now to find the Surface area of the cubes.
[tex]\text{Surface area}= \text{Total area of the 2-dimensional surfaces to make 3-dimensional }[/tex]
[tex]\text{Surface area}=2\times3=6, \ 3\times1=3, \text{and} \ 1\times2=2[/tex].
[tex]\text{Surface area}=6(2)+3(2)+2(2)=22 \ \text{square inches}^2[/tex]
The surface area of the prism is 22.
Therefore, the volume and the surface area of the prism is 6 and 22 square inches²
x3+y3+z3
what is the answer pls
Answers
the answer is
=3x+yx3+zx
=3x + 3y+3z
Find the measure of angle DBC.
Answers
Answer:
60°
Step-by-step explanation:
We know that a straight line would be 180 °.
we can see that the line is split into 3 equal sides .
180° ÷ 3 = 60°
Which vector spaces have exactly one basis?
Answers
The vector space that has exactly one basis is the trivial vector space, which is the vector space containing only the zero vector.
A basis for a vector space is a set of linearly independent vectors that span the entire space. In a non-trivial vector space (a space that contains more than just the zero vector), there are infinitely many possible bases. This is because any set of linearly independent vectors that span the space can be used as a basis.
However, in the trivial vector space, there is only one vector (the zero vector), and it is linearly independent of itself. Therefore, the trivial vector space has exactly one basis, which is the set containing only the zero vector. Any other set of vectors in the trivial vector space is linearly dependent, and therefore cannot be used as a basis.
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If the gymnasium is 30 meters long and 16 meters wide what will the distance be between opposite corners
Answers
In this case, the gymnasium is a rectangle, so we can use the Pythagorean theorem to find the distance between opposite corners:
a = 30 meters (length of the rectangle)
b = 16 meters (width of the rectangle)
c = ? (distance between opposite corners)
c² = a² + b²
c² = (30 meters)² + (16 meters)²
c² = 900 + 256
c² = 1156
Taking the square root of both sides to solve for c:
c = √1156
c = 34
Therefore, the distance between opposite corners of the gymnasium is approximately 34 meters.
I need help please help
Me answer
Answers
Answer:
the area is 40
Step-by-step explanation:
when x is a dummy variable, there will be no difference in ols estimators between quadratic and cubic regression models. a. true b. false
Answers
The dummy variable is used to capture the effect of the categorical variable and it has no effect on the quadratic or cubic relationship between the independent and dependent variable.
When x is a dummy variable, there will be no difference in OLS estimators between quadratic and cubic regression models. This statement is true.OLS stands for Ordinary Least Squares regression. It is a statistical method used to determine the relationship between one or more independent variables (predictors) and a dependent variable. The OLS regression method minimizes the sum of squared residuals (differences between actual and predicted values).Dummy variables are used in regression analysis to represent categorical variables.
These are represented by a variable with a binary value of 1 or 0, depending on whether the observation falls in that category or not. This variable is used to represent a categorical variable in regression analysis so that the model can capture the effect of that variable in the analysis.In regression analysis, the regression model is a function of the independent variable, also called the predictor variable, and the dependent variable. A quadratic regression model is a polynomial regression model of degree 2. It means that the relationship between the dependent and independent variable is a quadratic function.
A cubic regression model is a polynomial regression model of degree 3. It means that the relationship between the dependent and independent variable is a cubic function. When x is a dummy variable, there will be no difference in OLS estimators between quadratic and cubic regression models. The OLS estimators will be the same because the dummy variable will have no effect on the fit of the model. Hence, this statement is true.
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answer the question below
Answers
Answer: 22.3
Step-by-step explanation:
The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using
Answers
Answer:
PEMDAS or BIDMAS
Step-by-step explanation:
You want to know how to remember the order of operations.
AcronymsCommonly used acronyms for the Order of Operations are ...
PEMDAS
BIDMAS
The letters of these stand for ...
P, B — parentheses or brackets
E, I — exponents or indices
M, D — multiplication and division
A, S — addition and subtraction
PrecedenceExpressions enclosed in grouping symbols (parentheses or brackets) have the highest precedence. They are evaluated first, according to the order of operations.
Exponents (indices) are evaluated next. A sequence of exponent operations, such as a^b^c is evaluated right to left, as a^(b^c), unless parentheses modify the order.
Because exponents and indices have a higher precedence than other arithmetic operations, something like 2^3x is evaluated as (2^3)x, not 2^(3x), and √2p is (√2)p, not √(2p). It is fairly common to see a square root erroneously written as 3^1/2 = (3^1)/2 = 3/2 when 3^(1/2) = √3 is intended.
Multiplication and division have the same precedence. Even though M precedes D (or D precedes M, depending on which acronym you use), they are evaluated in order of appearance left to right. As with exponents, a common error is forgetting to put parentheses around numerators and denominators. For example, 3/2π is different from 3/(2π).
Similarly, addition and subtraction have the same precedence and are evaluated in order of appearance, left to right.
CompositionThe composition (ring) operator (∘) is used to signify a sequence of functional or transformation operations. For example (f∘g)(x) is the composition of functions f and g. The functions or transformations in a composition are evaluated right to left:
(f∘g)(x) = f(g(x))
Special notationsOperations performed on functions can be written in confusing ways. For example, ...
[tex]y = f^{-1}(x)\qquad\text{means }x=f(y),\text{ not }y=\dfrac{1}{f(x)}[/tex]
The notation using a positive exponent stands in contrast:
[tex]\sin^4(x)\qquad\text{usually means }(\sin(x))^4,\text{ not }\sin(\sin(\sin(\sin(x))))[/tex]
On the other hand, an exponent applied to a function name can mean recursive application of the function, as in sin²( ) = sin(sin(...)). It can also mean an n-th derivative. Context is important in such situations.
A, B & C lie on a straight line.
D, B & E lie on a different straight line.
∠
CBE = 62°.
Work out the angle marked
x
.
Answers
The angle marked x is 28°
What is the straight-line equatiοn?The fοrmula fοr a simple straight line is Y = mX + b, where Y is the respοnse (dependent) variable, X is the predictοr (independent) variable, m is the estimated slοpe, and b is the estimated intercept.
We have,
A, B & C lie in a straight line.
D, B & E lie οn a different straight line.
∠CBE = 62°.
x =?
Because < ABD and <CBE are οppοsite vertex angle
<ABD = <CBE
And because ∠CBE = 62°
∠ABD = 62°.
1 x = 90°- 62°
= 28
Hence, the angle marked x is 28°
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Help fasttttt!!!!!!
I attached a picture of the question.
Answers
The transformation rule is to: rotate triangle ABC by 90 degrees around the origin
What is the transformation rule used?As we are given the coordinates of Triangle ABC as:
Coordinate of point A = (1, 1)
Coordinate of point B = (3, 1)
Coordinate of point C = (1, 4)
The coordinates of the transformed image A'B'C' are:
A' (-1, 1) ,
B'(-1, 3)
C' (-4, 1)
The transformation rule would be to rotate triangle ABC by 90 degrees around the origin
The rule for this transformation is: (x,y) => (-y ,x)
A(1,1) => A' (-1,1) ,
B(3,1) => B'(-1 , 3)
C(1,4) => C' (-4,1)
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A caterer is making cookie trays for
upcoming holiday parties. This morning,
she made 2 small trays (x) and 3 large
trays (y), which contain a total of 64
cookies. In the afternoon, she made 6
small trays and 4 large trays, which
contain a total of 122 cookies. How
many cookies do the different sized
trays contain?
Answers
[tex]10.4[/tex] cookies were divided here between small tray as well as a large tray.
What do Internet cookies do?A cookie is indeed a piece of information from a webpage that is saved in a browser for subsequent retrieval by the website. Cookie are used to let a server know whether visitors have visited a specific website again.
What takes place if I refuse cookies?You will have the greatest user experiences . for example if you provide enough, whereas denying cookies may make it harder for you to use the website. Consider purchasing online. When you browse further, cookies allow the website to maintain track of all the products you've added to your cart.
[tex]2s + 3l = 64[/tex] (equation 1)
[tex]6s + 4l = 122[/tex] (equation 2)
From equation [tex]1[/tex], we can solve for [tex]s[/tex] in terms of [tex]l[/tex]:
[tex]2s + 3l = 64[/tex]
[tex]2s = 64 - 3l[/tex]
[tex]s = (64 - 3l)/2[/tex]
We can then substitute this expression for [tex]s[/tex] into equation [tex]2[/tex]:
[tex]6s + 4l = 122[/tex]
[tex]6((64 - 3l)/2) + 4l = 122[/tex]
Simplifying:
[tex]192 - 9l + 4l = 244[/tex]
[tex]-5l = -52[/tex]
[tex]l = 10.4[/tex]
Now that we know that a large tray contains [tex]10.4[/tex] cookies, we can substitute this value back into equation [tex]1[/tex] to solve for [tex]s[/tex]:
[tex]2s + 3l = 64[/tex]
[tex]2s + 3(10.4) = 64[/tex]
[tex]2s = 20.8[/tex]
[tex]s = 10.4[/tex]
Therefore, a small tray contains [tex]10.4[/tex] cookies, and a large tray contains [tex]10.4[/tex] cookies.
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animal scientists studied foraging behavior of the scrub lizard, found in central florida. foraging is the process of searching for food. to study such behavior, the scientists recorded the number of head movements per minute for a sample of 63 lizards. a 95 percent confidence interval constructed from the sample is given as
Answers
The statement is valid in light of the fact that the stretch can oblige three head developments every moment.
How does probability work?The probability of an event occurring is referred to as probability. We frequently have to make predictions about the future in real life. We may or may not be aware of the outcome of an event.
At the point when this happens, we broadcast that there is plausible that the occasion will happen. In conclusion, probability can be put to great use in business as well as in this rapidly expanding field of artificial intelligence.
By simply dividing the total number of outcomes by the favorable number of possibilities, the probability of an event can be calculated using the probability formula.
As a result, the claim is true because the time allows for three head movements per minute.
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.
Write an equation for a function with the given characteristics.
A cosine curve with a period of 8, an amplitude of 3, a right phase shift of /3, and a vertical translation up 5 units.
f(x) =
Answers
The equation for the function is f(x) = 3 * cos (16x + [tex]\frac{16\pi }{3}[/tex] ) + 5.
What is an equation?
A assertion that two expressions with variables and/or numbers are equal is referred to as an equation. The fundamental driving forces behind the evolution of mathematics have been attempts to logically solve equations, which are really questions.
We know that f(x) = a cos (bx + c) + d.
We are given
a = 3 which is the amplitude
Period = 8π
b = 16
Phase shift = [tex]\frac{c}{b}[/tex]
⇒[tex]\frac{\pi }{3}[/tex] = [tex]\frac{c}{16}[/tex]
⇒ c = [tex]\frac{16\pi }{3}[/tex]
d = 5 as there is upward translation
So, from this we get the equation as
⇒f(x) = 3 * cos (16x + [tex]\frac{16\pi }{3}[/tex] ) + 5
Hence, the equation for the function is f(x) = 3 * cos (16x + [tex]\frac{16\pi }{3}[/tex] ) + 5.
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Question: Write an equation for a function with the given characteristics. A cosine curve with a period of 8π, an amplitude of 3, a right phase shift of π/3, and a vertical translation up 5 units.
f(x) = ______________