Answers
Step-by-step explanation:
the domain of a function is the interval or set of all valid x (input) values.
the range of a function is the interval or set of all valid y (function result) values.
the graph shows us that the x values are continuously between -5 and +3.
and the end points are filled, so, they are to be included as valid points (via the <= or >= signs).
so, the domain is
-5 <= x <= 3
Related Questions
The radius r and height h of a circular cone change at a rate of 2 cm/s. How fast is the volume of the cone increasing when r = 10 and h = 20?
Answers
At r = 10 cm and h = 20 cm, the cone's volume is growing at a rate of 1047 cm³/s.
Describe the term rate of change?Volume changes at a rate of dV/dt. The rate at which the side length is varying is what is being questioned ds/dt would then apply. The result is dV/dt = d/dt[s^3]. if we consider the derivative from both side of V = s3.The following formula determines the cone's volume:
V = 1/ 3 πr²h
In which r and h are specified in cm, whereas V is given in cm³.
Assume that a circular cone's height h and radius r are both rising at a speed of 2 cm/s.
This indicates that; the rate of change of volume
dh/dt = dr/dt = 2 cm/s.
Increasing the cone's volume at r = 10 cm and h = 20 cm.
dV/dt for r = 10 cm and h = 20 cm.
V = 1/ 3 πr²h
Implicit distinction in use:
V, r, and h are the three variables we have. So
dV/dt = (1/3) [2r.(dr/dt).hπ + r²π(dh/dt)]
dV/dt = (1/3) [2(10).(2).(20)π + (10)²π(2)]
dV/dt = 1047 cm³/s
At r = 10 cm and h = 20 cm, the cone's volume is growing at a rate of 1047 cm³/s.
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x+y=-9. I need help asap! Thank you!
Answers
Answer: -5 and -4
Step-by-step explanation:
Answer:
-6, -3
-9, 0
20, -29
-5,-4
etc.
Step-by-step explanation:
There are many. Did they give you any other info???
Kenny and Tara are both members of a population, and a simple random sample is being conducted. If the chance of Kenny being selected is 1/29, what is the chance of Tara being selected?
Answers
Given:
a.) The chance of Kenny being selected is 1/29.
From the given, we can say that the total population is 29.
Since it's been given that Kenny and Tara are both memb
a punch recipe calls for 1 1/2 quarts of sparkling water and 3/4 of a quart of grape juice. how much of each ingredient would you need to make 75 quarts of punch?
Answers
50 quarts of sparking water and 25 quarts of grape juice are needed for 75 quarts of punch.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that a punch recipe calls for 1(¹/₂) quart of sparkling water and 3/4 of a quart of grape juice.
The ratio of sparkling water to grape juice is,
1(¹/₂) : (3/4 quarts) = (3/2) : (3/4) = 2 : 1
The amount sparkling water in the total volume is 2 : (2+1) = 2/3 of the total volume. For a volume of 100 quarts, the sparkling water content is
2/3 · 75quarts = 50 quarts
Then the grape juice content is,
1/3 · 75 quarts = 25 quarts
Therefore, 50 quarts of sparking water and 25 quarts of grape juice are needed for 75 quarts of punch.
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8)
Which of the numbers is a rational number?
A)
B)
V11
100
D)
V143
Answers
Answer: Step-by-step explanation:
I believe that is it 100, since it is the only number listed that has factors and multiples.
Hope this helps!
Select the inequality that describes each sentence.
Jason ran for less than 3 miles.
Answers
If D is the distance that Jason ran (in miles), the inequality will be:
D < 3.
Which inequality describes this sentence?Here we want to write an inequality for the given sentence:
"Jason ran for less than 3 miles."
Let's define the variable D as the distance that Jason ran in miles, now we want to write an inequality that says that D is less than 3 miles.
To do so, we will use the symbol <, it is used to say that the thing in the left is smaller than the thing in the right, then the inequality will be:
D < 3.
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What is the solution to the equation below?
8-(x+10)=2x-1
Answers
Answer:
x = -1/3
Step-by-step explanation:
1. 8-x-10 = 2x-1
2. 2x-1 = -x-2
3. 3x-1 = -2
4. 3x = -1
5. x = -1/3
Solve for x and find the measure of the indicated angle.
D
100°
(13x + 2)
70°
(18x + 2)%
B
=
mZC =
Answers
Answer:
\({ \rm{100 + (13x + 2) + (18x + 2) + 70 = 360}} \\ \\ { \rm{31x + 174 = 360}} \\ \\ { \rm{31x = 186}} \\ \\ { \rm{x = 6 }}\)
• Angle C
\({ \rm{m \angle C = (13x + 2)}} \\ \\ { \rm{m \angle C = (13 \times 6) + 2 }} \\ \\ { \rm{m \angle C =80 \degree }}\)
You use generally accepted facts (such as: there are approximately 6 billion people on the planet. ) without citing them is it plagiarism?
Answers
No, this not plagiarism .You can use generally accepted facts without citing them.
What defines self-plagiarism?
Self-plagiarism is defined as a type of plagiarism in which the writer republishes a work in its entirety or reuses portions of a previously written text while authoring a new work.
What is considered general knowledge in plagiarism?
Common knowledge is typically defined as facts that are unsupported by at least five reliable sources. In the discipline of composition studies, for instance, the statement "Writing is difficult" is taken for granted because at least five reliable sources may support it.How to Avoid plagiarism common knowledge?
Quoting correctly, paraphrasing and summarizing correctly, and documenting (citing) correctly are the keys to providing credit and avoiding plagiarism; you can go to page 3 of this handout for more information. Almost all of the information you discover in outside sources needs to be documented.Learn more about plagiarism
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Which phrase could the expression x minus 4 represent? a number less than four the difference of a number and four the sum of a number and four four more than a number
Answers
The phrase "x minus 4" represents the difference of a number and four. So second option is the correct answer.
It implies subtracting 4 from a given number, x. The expression x minus 4 can be written mathematically as x - 4. When evaluating this expression, we start with the value of x and subtract 4 from it.
For example, if x is 10, then x minus 4 would equal 10 - 4, resulting in 6. The expression "x minus 4" refers to the action of subtracting 4 from a given number, which signifies finding the difference between the original number and the value 4. Therefore, the correct answer is second option.
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the area of a regular hexagon is 100 units if all the dimensions were cut in half what would the new area be
Answers
Answer:
50 units most likely. I could be wrong. I am extrememly sorry if I am wrong.
Step-by-step explanation:
please answer this i really need it!! i’ll give brainly
Answers
for the graph of a certain quadratic $y = ax^2 + bx + c$, the vertex of the parabola is $(3,7)$ and one of the $x$-intercepts is $(-2,0)$. what is the $x$-coordinate of the other $x$-intercept?
Answers
The \($x$\)-coordinate of the other \($x$\)-intercept is \($\boxed{3-2\sqrt{39}}$\).
Since the vertex of the parabola is\($(3,7)$\), we know that the axis of symmetry is\($x=3$\). Since \($(-2,0)$\) is one of the\($x$\)-intercepts, we can write the quadratic equation in factored form as:
\($$y=a(x+2)\left(x-x_1\right)$$\)
where \($\$ x_{-} 1 \$$\) is the \($\$ \times \$$\)-coordinate of the other \($\$ \times \$$\)-intercept.
We know that the vertex is on the axis of symmetry, so we can use this information to find the value of \($\$ x_{-} 1 \$$\). Since the axis of symmetry is \($\$ \mathrm{x}=3 \$$\), the distance between the vertex at \($\$(3,7) \$$\) and the\($\$ \times \$$\)-intercept at \($\$(-2,0) \$$\) must be the same as the distance between the vertex and the other \($\$ \times \$$\)-intercept, which we don't know yet.
The distance between \($\$(3,7) \$$\) and \($\$(-2,0) \$$\) is:
\($$\sqrt{(3-(-2))^2+(7-0)^2}=\sqrt{25+49}=2 \sqrt{39}$$\)
So the distance between the vertex and the other \($\$ \times \$$\)-intercept is also \($\$ 2$\) |sqrt\($\{39\} \$$\). This means that the\($\$ \times \$$\)-coordinate of the other \($\$ \times \$$\)-intercept must be \($\$ 3+2 \mid$\) sqrt \($\{39\} \$$\) or \($\$ 3$\) 21 sqrt \($\{39\} \$$\).
So the distance between the vertex and the other \($x$\)-intercept is also
\($2\sqrt{39}$\). This means that the \($x$\)-coordinate of the other \($x$\)-intercept must be \($3+2\sqrt{39}$\) or \($3-2\sqrt{39}$\).
Therefore, the \($x$\)-coordinate of the other \($x$\)-intercept is \($\boxed{3-2\sqrt{39}}$\).
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A standing wave can be mathematically expressed as y(x,t) = Asin(kx)sin(wt)
A = max transverse displacement (amplitude), k = wave number, w = angular frequency, t = time.
At time t=0, what is the displacement of the string y(x,0)?
Express your answer in terms of A, k, and other introduced quantities.
Answers
The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.
At time t=0,
the standing wave can be mathematically expressed as
y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.
This means that the displacement of the string is zero at time t=0.
However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.
As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).
The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.
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in the citation 319 n.w. 2d 459, the number 459 represents the
Answers
The number 459 in the citation 319 N.W. 2d 459 represents the page number where the case or legal opinion can be found in the North Western Reporter, Second Series. The North Western Reporter is a series of case reporters that includes court decisions from various states in the northwestern region of the United States.
In legal citations, the number before the "N.W." indicates the volume number of the reporter. So in this case, "319" refers to the specific volume where the case is located. The abbreviation "N.W." stands for North Western Reporter, which is the name of the reporter series. The number "2d" after "N.W." indicates that this is the second series of the North Western Reporter.
To locate the case within the volume, the number "459" refers to the page number where the case begins. This allows readers, such as lawyers, judges, or researchers, to easily find and reference the specific case within the reporter.
In summary, the number "459" in the citation 319 N.W. 2d 459 represents the page number where the case can be found in the North Western Reporter, Second Series.
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38. find the area of the band cut from the paraboloid x2 y2 - z = 0 by the planes z = 2 and z = 6.
Answers
The area of the band cut from the paraboloid \(x^2 + y^2 - z = 0\) by the planes z = 2 and z = 6 is approximately 12.56 square units. To find the area of the band, we first need to determine the intersection curves between the paraboloid and the planes z = 2 and z = 6.
By substituting these values of z into the equation of the paraboloid, we obtain two equations: \(x^2 + y^2 - 2 = 0\) and \(x^2 + y^2 - 6 = 0.\)
These equations represent circles centered at the origin in the xy-plane with radii √2 and √6, respectively. The band is formed by the region between these two circles. To calculate the area of this band, we need to find the difference between the areas of the larger circle and the smaller circle.
The area of a circle is given by the formula A = πr², where r is the radius. Therefore, the area of the larger circle is π(√6)²= 6π, and the area of the smaller circle is π(√2)² = 2π. The area of the band is the difference between these two areas: 6π - 2π = 4π.
To find the numerical value of the area, we can approximate π as 3.14. Thus, the area of the band is approximately 4π = 4 * 3.14 = 12.56 square units. Rounded to two decimal places, the area of the band is approximately 12.56 square units.
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The variable data refers to the list [10, 20, 30]. After the statement data[1] = 5, data evaluates to
[10, 5, 30]
[5, 10, 20]
[10, 5, 20]
[5, 20, 30]
Answers
The variable data refers to the list [10, 20, 30]. After the statement data[1] = 5, data evaluates to [10, 5, 30]. A list is one of the compound data types that Python provides. Lists can contain items of different types, but they are usually all the same type.
Lists are mutable sequences, meaning that their elements can be changed after they have been created. Lists can be defined in several ways, including by enclosing a comma-separated sequence of values in square brackets ([ ]).
The elements of a list can be accessed using indexing, with the first element having an index of 0. The second element has an index of 1, the third element has an index of 2, and so on. To change the value of an element in a list, you can use indexing with an assignment statement.
For example, the statement `data[1] = 5` changes the second element of the `data` list to 5. Therefore, after this statement, the `data` list will be `[10, 5, 30]`.
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A website sells a dress at £30 and shoes at £25.
The website has an offer:
Buy a dress and shoes together and get
1/5
off the price.
There is also a shipping and handling charge of £8 added at the end, after any discount.
If Ruth buys both a dress and shoes, how much will she actually pay?
Answers
Answer:
$19
Step-by-step explanation:
30+25 = 55
55 / 1/5 = 11
11+8 = 19
find the amount of x. 2x+4=3x-10
Answers
Answer:
x=14
Step-by-step explanation:
You want to get x by itself on one side so you start by canceling the smaller x: 2x. You do this by subtracting 2x from both sides. You should have 4=x-10. After this, you want to cancel the -10 to get x by itself. To do this, you have to add 10 on both sides. You should have x=14. Lmk if this helps!
Answer: x=14
Step-by-step explanation:
2x+-3x=-4-10
-1x=14
X=14
Express the mixed number as an improper fraction with no common factors in the numerator and denominator. 5 1/4 help pls
Answers
The given mixed fraction 5 1/4 can be expressed as 21/4 in improper fraction.
A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
A mixed fraction is one that has both a correct fraction and a whole number portion, and whose value is consistently greater than 1. An example of a mixed number is 325 3 2 5. When the numerator is always higher than or equal to the denominator, the fraction is said to be inappropriate.
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Suppose a researcher compiled a data set consisting of the following variables for a sample of 200 women. For each variable, select whether it is discrete or continuous. Variable Discrete Continuous The number of meals eaten out in the last week The number of sons or daughters Dress size Height in inches Miles driven in the last year
Answers
We can identify the discrete variables by using concepts related to variables.
the total amount of college football games ever playedThe number of sons or daughtersThe total number of nations that have been visitedhow many animals are currently residing in the homeThe following are the continuous variables:
the amount of chocolate that was consumed last year in pounds.size of your shoes.Height in inches.What are continuous and discrete variables?A quantitative variable may be continuous or discrete in mathematics and statistics depending on whether it is normally obtained by measuring or counting. A variable is continuous over a range of real values if it can take on any two specific real values and all other real values in between.
According to the information:We can identify the discrete variables by using concepts related to variables.
the total amount of college football games ever playedThe number of sons or daughtersThe total number of nations that have been visitedhow many animals are currently residing in the homeThe following are the continuous variables:
the amount of chocolate that was consumed last year in pounds.size of your shoes.Height in inches.To know more about continuous and discrete variables visit:
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5 cm
7 cm
7 cm
- Q +
Answers
Step-by-step explanation:
5 times 7 times 7 since there are two sevens that means both sides are the same and thar means it is a square and that the other sides are the same makeing it so Q=5
Jan and Wayne went to the store to buy some groceries. Jan bought 2 cans of corn beef hash and 3 cans of creamed chipped beef for $4.95. Wayne bought 3 cans of corn beef hash and 2 cans of creamed chipped beef for $5.45.
Answers
Answer:
Corn Beef = x
Creamed Chipped beef = y
Jan:
2x + 3y = 4.95
Wayne:
3x +2y = 5.95
Graph two equation and find the point where two lines cross and that will be solution.
Point where two lines cross: (1.29, 0.79)
Corn Beef = $1.29
Creamed Chipped Beef = $0.79
Step-by-step explanation:
Kelley has to work 45 hours at her job to earn enough money to buy a phone. She works 3 hours each day. If she has worked x days, write a linear equation to represent how many more hours Kelley must work to afford the phone.
Answers
The linear equation that represents how many more hours Kelley must work to afford the phone is 3x - 45 = 0
Functions and valuesFunctions are expressions represented in terms of a variable.
From the question, we have the following
Total number of hours = 45
If she works 3 hours per day and has worked x days, the total number of hours she needs to work is 3x
Equating to the total hours wwill give:
3x = 45
3x - 45 = 0
Hence the linear equation that represents how many more hours Kelley must work to afford the phone is 3x - 45 = 0
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a simple random sample of 500 students at umass boston is taken to estimate the percentage of all students at the university who own a dog or cat. of the students in the sample, 34.8% have a dog or cat.
Answers
The 95%-confidence interval for the percentage of students at UMass Boston who own a dog or cat is (30.6% , 39.0%) .
In the question ,
it is given that ,
the number of students in the sample is (n) = 500 ,
percent of students that have a dog or cat is (p) = 34.8% = 0.348 ,
For 95% confidence interval for proportion , the Z critical value is
Z = 1.96 ,
So , the 95% confidence interval can be calculated using the formula ,
= (p ± Z*√(1-p)/n)
= (0.348 ± 1.96*√(1 - 0.348)/500)
Simplifying further ,
we get ,
= (0.348 ± 0.042)
= (0.348-0.042 , 0.348+0.042)
= (0.306 , 0.390)
= (30.6% , 39.0%)
Therefore , the 95% confidence interval is (30.6% , 39.0%) .
The given question is incomplete , the complete question is
A simple random sample of 500 students at UMass Boston is taken to estimate the percentage of all students at the university who own a dog or cat. of the students in the sample, 34.8% have a dog or cat . Find a 95%-confidence interval for the percentage of students at UMass Boston who own a dog or cat is ?
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17. Who am I? ___ Collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.
a) template
b) array
c) structure
d) local variables
Answers
You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.
A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.
The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.
The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.
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There are 3 batteries that go in a laser pointer if you had 100 lasers and took away the batteries of 5 lasers how much batteries do you have?
Answers
Answer:
285
Step-by-step explanation:
300-15=285
Answer:
285
Step-by-step explanation:
3 x 100 = 300
3 x 5 = 15
300 - 15 = 285
Hope This Helps!
In project network analysis, slack refers to the difference between:
Observed and predicted times
Optimistic and pessimistic times
Latest finish and latest start times
Earliest finish and earliest start times
Latest start and earliest start times
Answers
Slack represents the buffer or flexibility available in the project schedule, allowing for adjustments and potential delays without affecting the project's critical path.
In project network analysis, slack refers to the difference between the latest start and earliest start times of an activity. It represents the amount of time that an activity can be delayed without affecting the overall project duration.
The latest start time (LS) is the latest point in time an activity can start without delaying the project completion. It is determined by considering the dependencies and constraints of the project schedule. The earliest start time (ES) is the earliest possible point in time an activity can start based on its dependencies and the project schedule.
By subtracting the earliest start time from the latest start time, we calculate the slack or float of an activity. If an activity has positive slack, it means there is flexibility in its start time, and it can be delayed without impacting the project's critical path or completion date. On the other hand, if the slack is zero or negative, it indicates that any delay in the activity will affect the project's overall duration, making it critical.
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I NEED HELP!! WILL GIVE BRAINLEST!!!
Solve the system below by GRAPHING:
Y=5x-8
Y=1/3x+6
Answers
Answer:
I promise you the app Math. way will save you it will do it for u and show you where to put it on the graph just download it
f(x) = −11 + 12x
f(-9)= ?
Please help
Answers
Answer:
f(-9) = -119
Step-by-step explanation:
Hello!
You can evaluate for f(-9) by substituting -9 for x in the equation f(x) = -11 + 12x.
Evaluate f(-9)f(x) = -11 + 12xf(-9) = -11 + 12(-9)f(-9) = -11 - 108f(-9) = -119The evaluated value is -119.