The Domain of the given function is −2≤x≤2 and the range of the given function are −2≤y≤3.
The domain of a graphical function refers to all the input values which are shown or plotted on the x-axis. The domain of a function may be defined as the set of values that are assumed for the function.
The range of a graphical function refers to all the input values which are shown or plotted on the y-axis. The range of a function may be defined as the set of values that the function gives after assuming the input values for the function.
Here in the graph, the set of input values on the x-axis are from -2 to 2. Thus, the domain is −2≤x≤2. Also, the set of input values on the y-axis is from -2 to 3. Thus, the range is −2≤y≤3.
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Someone please help me I’ll give out brainliest please dont answer if you don’t know.
Answer: 4x + 8 = 12
Step-by-step explanation: U combine 3x + 4x - 3x = 4x and just add 8 add 12 to the equation
what x what = 1600 pls help me
Answer:
80
Step-by-step explanation:
40×40=1600
Go the cal and check it yrself plss
I'm just trying to help
Brainliest plss
If u like to
Thnx_Helperoverhere
The price have changed from $120 to $75. By how many
percent did it change?
Plz show how you did it
Answer:
around 37%
Step-by-step explanation:
120 × (1 - 37%) = 120 × (1 - 0.37) = 75.6
if im being honest i used calculator . net's percentage calculator
Which pattern is a characteristic of a graph of exponential growth?.
Answer:
rises sharply on the right
Step-by-step explanation:
Please help!!
Which item uses a variable to represent an unknown?
A. Aisle 4G
B. A B-grade
C. Office 16D
D. S students are in Social Studies class.
Answer:
i could be wrong but B
Step-by-step explanation:
I assume it's D
S shows a variable you need to find to find how many students are in Social Studies class.
A typical value for GPA is 3.26541. Which statement correctly rounds to the hundredth position?
a. newgpa = round(gpa, 100)
b. newgpa = round(gpa, 2)
c. newgpa = round(gpa, .01)
d. newgpa = round(gpa, '$.01')
The statement that correctly rounds the GPA to the hundredth position is b. newgpa = round(gpa, 2).
Rounding to the hundredth position means keeping only two decimal places. To do this in Python, we use the round() function with a second argument of 2, which specifies the number of decimal places to keep. Therefore, the correct statement is b. newgpa = round(gpa, 2).
It's important to understand what each of the answer choices means to see why b is the correct option. Option a. newgpa = round(gpa, 100) would round the GPA to the nearest multiple of 100, which is not what we want. Option c. newgpa = round(gpa, .01) and d. newgpa = round(gpa, '$.01') are invalid statements because the second argument of the round() function must be an integer, not a string or float. Therefore, the only valid option is b. newgpa = round(gpa, 2), which rounds the GPA to two decimal places.
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Rachel has a box that was 2 feet wide, 4 feet tall, and 3 feet long. Look at the box below. What is the volume of Rachel's box in cubic inches? 24 cubic inches 648 cubic inches 1,728 cubic inches 41,472 cubic inches
Answer:
volume = 41,472 in³
Step-by-step explanation:
volume = 24 x 48 x 36 = 41,472 in³
A rectangle has a length of 8.3cm and a permimeter of 22.4 cm. Enter the widty of the rectangle, in decimal form, in the box.
Answer:
the width is 2.9
Step-by-step explanation:the perimeter is found by L+W+L+W. Each L is going to be the same length and each width is going to be the same length since its a rectangle.
Double the length. 8.3+8.3= 16.6
Then subtract that from the perimeter. 22.4-16.6= 5.8
Then divide 5.8 as that is the total of the two missing sides. 5.8/2= 2.9
Then 2.9 is your answer. Hope that helps.
Here is a restaurant's menu.
Starter
Prawn Cocktail
Duck Spring Rolls
Lamb Meatballs
Leaf Salad (V)
Mushroom Soup (V)
(V) denotes vegetarian
Main
Hunter's Chicken
Beef Curry
Steak
Fish Pie
Lasagne
Egg Salad (V)
Vegetable Hot Pot (V)
Macaroni Cheese (V)
Dessert
Trifle
Ice Cream
Cheesecake
Chocolate Cake
Bakewell Tart
Fruit Salad (V)
Cherry Pie (V)
(a) A 3-course meal consists of one starter, one main and one dessert.
Work out how many different 3-course meals can be chosen from the menu.
Answer:6
Step-by-step explanation:
half of farihas hockey cards got wet and ruined.fariha bought 5 cards to replace some that were lost
There is approximately 10 cards at the start
Please solve on same Kind of coordinate plane. Thank you!
Answer:
(0,8)
Step-by-step explanation:
the count in a bateria culture was 400 after 10 minutes and 1900 after 35 minutes. assuming the count grows exponentially,what was the initial size of the culture? find the doubling period. find the population after 60 minutes. when will the population reach 11000.
Initial size of the culture = 400 , Doubling period = (35 minutes - 10 minutes) / (1900 - 400) = 0.1437 minutes , Population after 60 minutes = 400 * (2^(60/0.1437)) = 10201 and Population will reach 11000 after approx. 74.51 minutes.
The initial size of the culture can be found by substituting t = 0 into the exponential growth formula:
P(t) = P0 * (2^(t/T))
where P(t) is the population at time t, P0 is the initial population, and T is the doubling period. Substituting t = 0, we get:
400 = P0 * (2^(0/T))
Therefore, P0 = 400.
The doubling period can be found by rearranging the exponential growth formula:
T = (t2 - t1) / (ln(P2) - ln(P1))
where t1 and t2 are the time points, and P1 and P2 are the populations at those time points. Substituting t1 = 10, t2 = 35, P1 = 400, and P2 = 1900, we get:
T = (35 - 10) / (ln(1900) - ln(400)) = 0.1437 minutes
The population after 60 minutes can be found by substituting t = 60 into the exponential growth formula:
P(60) = P0 * (2^(60/T))
Substituting P0 = 400 and T = 0.1437, we get:
P(60) = 400 * (2^(60/0.1437)) = 10201
Finally, the population will reach 11000 after approx. 74.51 minutes can be found by setting P(t) = 11000 in the exponential growth formula and solving for t:
11000 = 400 * (2^(t/0.1437))
t/0.1437 = ln(11000/400)
Therefore, t = 0.1437 * ln(11000/400) ≈ 74.51 minutes
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a test of the null hypothesis 0:=0 gives test statistic =1.37. what is the -value if the alternative is :<0? with
The p-value of a test statistic is the probability of observing a test statistic as extreme or more extreme than the one calculated, assuming the null hypothesis is true.
In this case, since the alternative hypothesis is "<0", we would be looking for the probability of observing a test statistic less than 1.37.
To determine the p-value, one would need more information about the distribution of the test statistic, such as the degrees of freedom, sample size, and the type of test being performed. With this information, one could use a statistical table or software to determine the p-value.
It's worth noting that a p-value of 0.05 or less is commonly used as a threshold for statistical significance, meaning that if the p-value is below 0.05, the null hypothesis is rejected in favor of the alternative hypothesis.
However, this threshold is arbitrary and the choice of a significance level depends on the specific context and research question being addressed.
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4 x + 2 + x = blank x – 19
The result of the equation 4 x + 2 + x = x – 19 is - 5.25.
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
There are two kinds of equations: identities and conditional equations. An identity is true for all values of the variables.
Given equation -
4 x + 2 + x = x – 19
Simplify the equation
5x + 2 = x - 19
5x - x = -19 - 2
4x = -21
x = -21 / 4
x = -5.25
Hence, -5.25 is the answer to the equation 4 x + 2 + x = x - 19.
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Given the system of linear equations ... \[ \left\{\begin{array}{c} x+2 y+3 z=9 \\ 2 x-y+z=8 \\ 3 x-z=3 \end{array}\right. \] 1) Write the system in the matrix form \( A . X=B \) (2 points) 2) Solve t
The solution of the system of equations is \(\[x=3,\text{ }y=0,\text{ and }z=2\]\).
As per data the system of linear equations,
\(\[ \left\{\begin{array}{c} x+2 y+3 z=9 \\ 2 x-y+z=8 \\ 3 x-z=3 \end{array}\right. \] 1)\)
Write the system in the matrix form \(\( A . X=B \)\)
We know that the matrix form of the system of linear equations is as follows.
\(\[A. X = B\]\)
Where
\(\[A=\begin{pmatrix} 1 & 2 & 3 \\ 2 & -1 & 1 \\ 3 & 0 & -1 \end{pmatrix}\[X=\begin{pmatrix} x \\ y \\ z \end{pmatrix}\]\)
and
\(\[B=\begin{pmatrix} 9 \\ 8 \\ 3 \end{pmatrix}\]2)\)
To solve the system, we can use row reduction method.
\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 2 & -1 & 1 & 8 \\ 3 & 0 & -1 & 3 \end{pmatrix}\]\)
Applying the elementary row operations
\(\[R_{2}\to R_{2}-2R_{1}\]\)
and
\(\[R_{3}\to R_{3}-3R_{1}\]\)
we get,
\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 0 & -5 & -5 & -10 \\ 0 & -6 & -10 & -24 \end{pmatrix}\]\)
Now applying the elementary row operations
\(\[R_{3}\to R_{3}-(6/5)R_{2}\]\)
we get,
\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 0 & -5 & -5 & -10 \\ 0 & 0 & -1 & -2 \end{pmatrix}\]\)
Now, we need to apply back substitution method. Using the third row, we can get the value of z as z = 2.
Now, using the second row,
\(\[-5y - 5z = -10\]\\\-5y - 5(2) = -10\]\)
Solving this equation, we get y = 0.
Finally, using the first row, we can get the value of x as
\(\[x + 2y + 3z = 9\]\\x = 3\]\)
Hence, the solution of the system of equations is \(\[x=3,\text{ }y=0,\text{ and }z=2\]\).
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Read and analyze each item correctly. Provide what is ask in each item. 1. Is the relation ((0,0) , (1,1) . (2,4) , (3,9)) a function? 2. Can the graph of a circle be considered a function? 3. Cite a real-word example or scenario that can be expressed as a relation that is not a function.
1. Yes, the relation ((0,0), (1,1), (2,4), (3,9)) is a function. A function is a relation in which each input (x-value) is associated with only one output (y-value). In this case, for every x-value, there is a unique y-value. For example, when x is 0, y is 0; when x is 1, y is 1; when x is 2, y is 4; and when x is 3, y is 9.
Therefore, there is a clear and consistent mapping between the x-values and the y-values, satisfying the criteria for a function.
2. No, the graph of a circle cannot be considered a function. A function requires that each input (x-value) is associated with only one output (y-value). However, in the graph of a circle, for some x-values, there are multiple y-values or no y-value at all. This violates the definition of a function. For example, consider the equation of a circle: x^2 + y^2 = r^2. If we solve for y, we get two possible y-values for each x-value (except for the points where the circle intersects the x-axis). Therefore, the graph of a circle is not a function.
3. A real-world example of a relation that is not a function is a person's age and their height. While a person's age can be mapped to a single value, their height can vary. For example, a person who is 10 years old can have a height of 4 feet, but another person who is also 10 years old can have a height of 5 feet. This demonstrates that for a given age, there can be multiple possible heights, making it a relation that is not a function.
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A landscaper wishes to plant a uniform border of tulips within a
rectangular garden with dimensions 18 m by 12 m. To obtain a
pleasing look the area of the tulip border should be half the area
of the garden. How wide should the border be, to 1 decimal
place?
The tulip border should be half the size of the garden, which is 108m.
Explain about the rectangular?A rectangle is a closed 2-D shape with four sides, four corners, and four right angles (90°). The opposing sides of a rectangle are equal and parallel. A rectangle has two dimensions: length and width, as it is a two-dimensional structure.
A rectangle is a type of quadrilateral with four 90-degree-distance vertices and parallel sides that are equal to one another. It is also referred to as an equiangular quadrilateral because of this. A rectangle can also be referred to as a parallelogram since its opposing sides are equal and parallel.
A quadrilateral with four equal and right-angled angles is a rectangle. A square also has all equal sides in addition to all equal angles.
Tulip border area = (1/2) (area of garden)
= (1/2) (18 x 12)
= (1/2) (216)
= 108
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Calculate the average rate of change of a function over a specified interval. Which expression can be used to determine the average rate of change in f(x) over the interval 2, 9? On a coordinate plane, a curve opens down and to the right. The curve starts at (0, 0) and goes through (1, 3), (4, 6), and (7, 8). f(9 – 2) f(9) – f(2) StartFraction f (9 minus 2) Over 9 minus 2 EndFraction StartFraction f (9) minus f (2) Over 9 minus 2 EndFraction Mark this and return
The expression that can be used to determine the average rate of change in f(x) over the interval 2, 9 is (f(9) - f(2))/(9 - 2), which evaluates to 2/7 in the given scenario.
To determine the average rate of change of a function over a specified interval, we need to find the change in the function's values divided by the change in the input values (x-values) over that interval. In this case, we are interested in finding the average rate of change of function f(x) over the interval 2 to 9.
The expression that can be used to determine the average rate of change in f(x) over the interval 2, 9 is:
StartFraction f (9) minus f (2) Over 9 minus 2 EndFraction
This expression calculates the difference in the values of f(x) at the endpoints of the interval (f(9) and f(2)), and then divides it by the difference in the corresponding x-values (9 minus 2).
In the given scenario, we are provided with three points on the curve: (0, 0), (1, 3), (4, 6), and (7, 8). Since the interval of interest is from 2 to 9, we need to evaluate f(9) and f(2) using the given points.
Using the points on the curve, we find that f(9) = 8 and f(2) = 6. Plugging these values into the expression, we get:
StartFraction 8 minus 6 Over 9 minus 2 EndFraction
Simplifying, we have:
StartFraction 2 Over 7 EndFraction
Therefore, the average rate of change of f(x) over the interval 2, 9 is 2/7.
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heath records the number of winners of three ring toss games. According to heaths experiments, what is the probability a player will win the game
what is 20 divided by 5 times 20 plus 10
Answer:
Step-by-step explanation:
20 divided by 5x20+10=90
Answer:
90
Step-by-step explanation:
this is easiest if you know your order of operations PEMDAS so there are no parenthesis or exponents so next is multiplication and division. so 20/5= 4 then 4*20 is 80 and 80+10=90.
here's an easy way to remember PEMDAS
Please Excuse My Dear Aunt Sally
3 sin ^2 x - 3 sin ^4 x =0
I assume you're just solving for x. Factorize the left side as
3 sin²(x) - 3 sin⁴(x) = 3 sin²(x) (1 - sin²(x)) = 0
Recall that
sin²(x) + cos²(x) = 1
so that the equation further reduces to
3 sin²(x) cos²(x) = 0
Also recall the double angle identity,
sin(2x) = 2 sin(x) cos(x)
which lets us rewrite the equation as
3/2² (2 sin(x) cos(x))² = 3/4 sin²(2x) = 0
Solve for x :
3/4 sin²(2x) = 0
sin²(2x) = 0
sin(2x) = 0
2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ
(where n is any integer)
2x = 2nπ or 2x = (2n + 1) π
x = nπ or x = (2n + 1)/2 π
Notice that this means the solution set is
{…, -2π, -3π/2, -π, -π/2, 0, π/2, π, 3π/2, 3π, …}
so we can condense the solution further to
x = nπ/2
with any integer n.
Are the following fractions
equivalent? Explain what
strategy you used to find
your answer 4/9 and 8/18
Answer:
they are
Step-by-step explanation:
the simplest form 8/18 is 4/9
Find the surface area of the cylinder below. Round your answer to two decimal places.
Answer:
728.85
Step-by-step explanation:
Surface area of a cylinder equation: A = 2πrh+2πr²
A = (2π(4)(25))+(2π(4²))
A = 728.85cm³
Question 5 The equations N1 /dt = r1N1 [(K1 - N1 - ON2)/K1] and ON2/dt = r2N2 [(K2 - N2 - BN1)/K2] describe the models for the
The equations N1/dt = r1N1[(K1 - N1 - ON2)/K1] and ON2/dt = r2N2[(K2 - N2 - BN1)/K2] describe models for population dynamics. These models are used to understand how populations of organisms change over time, based on factors like birth rates, death rates, and available resources.
In these equations, N1 and N2 represent the population sizes of two interacting species. The variables r1 and r2 are the intrinsic growth rates of these species, or the rates at which they reproduce in the absence of limiting factors. K1 and K2 represent the carrying capacities of the environment for each species, or the maximum population sizes that can be sustained by available resources.
The terms ON2 and BN1 represent the effects of interspecific interactions on population growth. ON2 refers to the negative impact of species 2 on the growth rate of species 1, and BN1 refers to the negative impact of species 1 on the growth rate of species 2. These interactions can take many forms, such as competition for resources or predation.
By manipulating these equations, scientists can make predictions about how populations will change over time, and test these predictions against real-world data. These models are particularly useful for understanding how species interact in complex ecosystems, and how human activities like habitat destruction and climate change are affecting these ecosystems.
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Use the equation below to find y, if m =6, x = 3, and b = 5.
y = mx + b
Consider the following system of equations.
StartLayout Enlarged left-brace 1st row negative 10 x squared minus 10 y squared = negative 300 2nd row 5 x squared + 5 y squared = 150 EndLayout
Which statement describes why the system has infinite solutions?
The equations represent parabolas that result in graphs that do not intersect.
The equations represent circles that result in graphs that do not intersect.
The equations represent parabolas that result in the same graph.
The equations represent circles that result in the same graph.
Answer:
the answer is going to be D
Step-by-step explanation:
Answer:
The equations represent circles that result in the same graph.
Step-by-step explanation:
Which term has the value of 732? 732=9x+-30
Answer:
X=84.6
Step-by-step explanation:
732=9x-30
You subtract 30 from both sides which leaves us with
762=9x
Then you divide both sides by 9
So x=84.66
Answer:
84.66
Step-by-step explanation:
732=9x-30
732+30=9x
(732+30)/9= x
x = 762/9 = 84.667
When using the normal approximation to the binomial, what is the mean for a binomial probability distribution with p =.32 and n = 150?Nxp
The mean of a binomial probability distribution with p = 0.32 and n = 150 is 48
The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success, denoted by p. In the case of a binomial distribution with n trials and probability of success p, the mean, or expected value, is equal to the product of the number of trials and the probability of success, which is np.
In this case, the problem provides the values of p and n, which are p = 0.32 and n = 150, respectively. Therefore, the mean can be calculated by multiplying these two values
μ = np = 150 x 0.32 = 48
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Trying to Figure it out. How to Solve Vector Problems
Answer:
The magnitude of the vector is 5.
Step-by-step Explanation:
The magnitude of a vector |v| can be found using the Pitagoras theorem, according to the figure below:
The magnitude can be calculated as:
\(|v|=\sqrt[]{x^2+y^2}\)In this exercise,
x = -3
y = 4
So,
\(\begin{gathered} |v|=\sqrt[]{3^2+4^2} \\ |v|=\sqrt[]{9+16} \\ |v|=\sqrt[]{25} \\ |v|=5 \end{gathered}\)The magnitude of the vector is 5.
calculate 421 + 12 + 42 in base five
Answer:
1131 base5
Step-by-step explanation:
\( \: 4 \: 2 \: 1base5 \\ + 1 \: 2base5 \\ \: \: \: 4 \: 2base5 \\ \\ 1 \: 1 \: 3 \: 1base5\)