To graph a linear inequality word problem, identify the inequality, plot points on a coordinate graph, and then shade the appropriate region depending on the type of inequality.
To graph a linear inequality word problem, you need to identify the inequality, plot the inequality on a graph, and then shade the appropriate region.
1. Identify the inequality: Determine the inequality from the word problem.
2. Plot the inequality: Plot the points on a coordinate graph.
3. Shade the appropriate region: Shade the graph depending on the type of inequality. For example, if the inequality is “greater than”, shade the area above the line. If the inequality is “less than”, shade the area below the line.
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To graph a linear inequality of a word problem we take only y on one side of graph before we graph a linear inequality in two variables and then, we take into account associated equation which was created by switching the inequality sign for an equality sign.
What is Linear Inequality ?
Linear Inequality is defined as the Mathematical statement which shows a relation between two expressions using the inequality symbol.
The expressions on both sides of the inequality sign are not equal. It means that expression on the left-hand side can be greater than(>) or less than ( < ) the expression on the right-hand side or vice versa.
So , to graph the inequality involving two variable x and y , we first take the variable y on one side of the graph , then, we take into account associated equation which was created by switching the inequality sign for an equality sign. , and after that we graph the inequality .
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Please Help!
What is the volume of a right circular cylinder with a diameter of 8 meters and a height of 12 meters. Leave the answer in terms of π. 96π m3 192π m3 603π m3 768π m3
if the diameter is 8 meters, then its radius is half that, or 4 meters.
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=4\\ h=12 \end{cases}\implies V=\pi (4)^2(12)\implies V=192\pi[/tex]
The volume of a right circular cylinder with a diameter of 8 meters and a height of 12 meters is,
⇒ V = 96π m³
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Diameter of a right circular cylinder = 8 meters
And, Height of a right circular cylinder = 12 meters
Now, We know that;
The volume of a right circular cylinder is,
⇒ V = πr²h
Here, Diameter of a right circular cylinder = 8 meters
Radius = 8 / 2 = 4 m
Thus, We get;
⇒ V = πr²h
⇒ V = π × 4² × 12
⇒ V = 96π m³
Thus, The volume of a right circular cylinder with a diameter of 8 meters and a height of 12 meters is,
⇒ V = 96π m³
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18. Write each of the following numbers in scientific notation b. 984.35 c. 0.0045 a. 4327 d. 624.87 e. 0.1357 f. 98.180004
Scientific notation is a way of writing numbers that are too large or too small to be conveniently written in the standard form. It involves expression numbers as the product of a number between 1 and 10 and a power of 10. This notation is commonly used by scientists, mathematicians, and engineers.
a. 4.327 x 103
b. 9.8435 x 102
c. 4.5 x 10-3
d. 6.2487 x 102
e. 1.357 x 10-1
f. 9.8180004 x 10-1
When a number is too big or too small to be stated in the conventional form, it can be written using scientific notation.. It involves expressing numbers as the product of a number between 1 and 10 and a power of 10. For example, a number like 4.327 x 103 would be written as 4,327 in standard form. Similarly, 9.8435 x 102 would be written as 984.35 in standard form. While 4.5 x 10-3 would be written as 0.0045 in standard form and 6.2487 x 102 would be written as 624.87 in standard form. Additionally, 1.357 x 10-1 would be written as 0.1357 in standard form and 9.8180004 x 10-1 would be written as 98.180004 in standard form. Scientists, mathematicians, and engineers frequently employ scientific notation.
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Heidi and Dan signed up for a cell phone plan with a brand new company called Bolt.
The price for 30 gigabytes of data and unlimited talk and text is $55 — Each line costs $19 and the taxes are $9.50 per month.
Three months later, they decide that they would like to update their contract to an unlimited data plan instead.
The unlimited data plan includes unlimited talk, text and data, and costs $85. The new taxes are $12.49 per month.
How much will their bill increase when they make this switch?
The increase in their bill when they switch from their current phone plan to the unlimited plan will be $13.99.
What is the cost of the current phone plan?The cost of the current phone plan is calculated as follows:
The cost of the current phone plan = $55 + $19 + $9.50
The cost of the current phone plan = $83.50
The cost of the unlimited plan will be:
The cost of the new unlimited plan = $85 + $12.49
The cost of the new unlimited plan = $97.49
The increase in their bill will be:
The increase in their bill = $97.49 - $83.50
The increase in their bill = $13.99
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A population of mice has a growth factor of 3.
after one month, there are 36 mine. after 2
months, there are 108 mice.
B. Write an equation for the population after any number of months. Explain what information the numbers and variables in your equation represent.
The equation representing the data is N=12×3ⁿ Where n is the number of months.
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here, A population of mice has a growth factor of 3. after one month, there are 36 mines. after 2 months, there are 108 mice.
let n be the number of months and N be the number of mice after n months
thus , N=36
⇒ 36=12×3¹
N=108
⇒108=12×3²
Therefore for any n the Number of mice is N=12×3ⁿ
Hence, The equation representing the data is N=12×3ⁿ Where n is the number of months.
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Which word is associated with multiplication when computing probabilities? Choose the correct answer below Disjoint O And O Not
When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.
According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .
According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.
The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.
Therefore,
When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.
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can someone answer this question really quick
Review the following problem and answer the questions that follow.
Problem: 8 + 3(2a - 4)
Work: 11(2a - 4)
Answer: 22a - 44
1) What mistake was made? Be specific.
2) What suggestion would you give me to avoid making that same mistake in the future?
Answer:
1) The mistake is not following order of operations, the multiplication between the 3 and (2a - 4) in the brackets is a priority. You should of added the 8 after you resolve the bracket.
2) We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
A point of the form 25 + bi is 37 units from 13 – 31i. what is the value of b? a. 4 b. 6.6 c. 36.6 d. 40.6
The correct answer is C, 36.6. To solve this problem, use the distance formula to calculate the distance between the two points.
The distance formula is:
d = √((x² - x)² + (y² - y)²)
In this problem, the first point is 13 – 31i and the second point is 25 + bi. Plugging these values into the distance formula, we get:
d = √((25 - 13)² + (b - (-31))²
Simplifying and solving for b, we get:
37 = √(144 + b² + 62)
⟹ 37² = 144 + b² + 62
⟹ b² = 37² - 144 - 62
⟹ b² = 1189
⟹ b = 34.6
Therefore, the value of b is 36.6.
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Answer:
4
Step-by-step explanation:
4 on edge got it right
Find the value of X.
Answer:
you have given wrong answer bro\sis correct it
The question is in the image i need the answer at least 2 mins after sending the question
Answer:
Slope= 3/4
y intercept= (0,-3)
Step-by-step explanation:
hope it helps :)
ANSWER FOR BRAINLIST AND HEARTS 30 POINTS!
The recursive definition of a sequence is given.
a1 = 2, an an-1 + 2
-
Write the explicit definition. Your answer must be simplified.
Explicit Definition of an Arithmetic Sequence
an = a₁ + (n-1) d
To solve this we must be knowing each and every concept related to arithmetic sequence and its calculations. Therefore, arithmetic sequence can be defined as below.
What is arithmetic sequence?An arithmetic sequence is a collection of integers that follow a specific pattern. It's an arithmetic sequence if you pick any number inside the sequence and subtract it from the preceding one, and the outcome remains the same or constant.
an = a₁ + (n-1) d
The common difference, indicated by the letter d, is the constant difference between all pairs of subsequent or succeeding integers in a series. To transition from one phrase to another, we employ the common difference.
Therefore, arithmetic sequence can be defined as above.
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Help with geometry similar triangles.
=====================================================
Explanation:
The segment (4x-9) units long is the midsegment of the triangle. This is because each endpoint is a midpoint of the slanted sides.
One property of midsegments is that it is half as long as the side parallel to it.
The (4x-9) side is half as long compared to the 6x side.
Rephrased another way: The 6x is twice as long compared to (4x-9)
We'll use this to set up the equation to solve for x.
6x = 2*(4x-9)
6x = 8x-18
6x-8x = -18
-2x = -18
x = -18/(-2)
x = 9 is the final answer
John types at a rate of 16 words per minute. How many words does he type in 4 minutes?
Answer:
64 words-------------------------------
John types at a rate of 16 words per minute.
With the stable rate, in 4 minutes he types:
16 * 4 = 64 wordsplease answer fast i need this hw done
From the give expressions, the rational one are numbers 1 and 3 and the irrational ones are numbers 2 and 4 respectively
What is rational and irrational numbers?Rational numbers are numbers that can be expressed as a ratio or whole number while the irrational numbers cannot be expressed as ratios or whole numbers
The given expressions are
1) 2√9 + 8
= 2*3+8
6+8
=14 This a Rational number because it shows a whole number
2) 2√7 +8
This is irrational hence it cannot be expressed to lowest term
3) 3√18√2
= 3*√18*2
=3*√36
=3*6
=1 8
This is rational because it can be expressed to its lowers term and forms a whole number
4) 2√15√3
= 2*√45
= 2*√9√3
=2*3*√3
=6√3
This is irrational because it does not form a whole number
In conclusion, the rational numbers show whole numbers while the irrational numbers show none whole numbers
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The ________ symbol indicates that some condition must be tested in a flowchart.
Rectangle
Square
Oval
Diamond
Parallelogram
Answer: diamond
Step-by-step explanation:
The diamond symbol is used to indicate a condition that must be tested in a flowchart. It is used to represent a decision point, where the flow of the process will depend on the outcome of the test. The diamond symbol is typically used in conjunction with other symbols, such as arrows or ovals, to show the flow of the process.
-5 is reduced by 2, the result is 26 less than twice the opposite of the number. What is the number
The number represented in the statement is 19/2
How to determine the number in the scenarioFrom the question, we have the following parameters that can be used in our computation:
Mathematical statement
The mathematical statement is represented as:
-5 is reduced by 2, the result is 26 less than twice the opposite of the number.
Represent the number with x
So, we have
-5 is reduced by 2, the result is 26 less than twice the opposite x
Express reduced by as subtraction
This gives
-5 - 2, the result is 26 less than twice the opposite x
Express the result as an equation
-5 - 2 = 26 less than twice the opposite x
less than here means minus
So, we have
-5 - 2 = -2x - 26
Evaluate the like terms
2x = 19
Divide by 2
x = 19/2
Hence, the number is 19/2
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Hot Spot is a California lottery game. Players pick 1 to 10 Spots (sets of numbers, each from 1 to 80) that they want to play per draw. For example, if you select a 4 Spot, you play four numbers. The lottery draws 20 numbers, each from 1 to 80. Your prize is based on how many of the numbers you picked 27% match one of those selected by the lottery. The odds of winning depend on the number of Spots you choose to play. For example, the overall odds of winning some prize in 4 Spot is approximately 0.256.
You decide to play the 4 Spot game and buy 5 tickets. Let X be the number of tickets that win some prize. 6452 Location 18277 of 68468 32°F Mostly cloudy 6:10 3/14 the location of the mean on your histogram.
a. Xhas a binomial distribution. What are n and p?
b. What are the possible values that x can take?
c, Find the probability of each value of X. Draw a probability histogram for the distribution of X. (See Figure 14.2 on page 331 for an example of a probability histogram.)
d. What are the mean and standard deviation of this distribution? Mark the location of the mean on your histogram
Based on the information provided, a) if X has a binomial distribution, n = 5 and p = 0.256. b) X can take values in the range of 0 to 5. c) The values of P(x) for x = 0, 1, 2, 3, 4 , 5 are 0.228, 0.392, 0.269, 0.093, 0.016, and 0.011 respectively. d) mean = 1.28 and standard deviation = 0.995.
a) If X has a binomial distribution n represents the number of tickets bought which is 5 and p represents the probability of winning a prize after taking a single ticket which is 0.256.
b) X can take values in the range of 0 to 5, which indicates the possible number of won tickets. Hence, x = 0, 1, 2, 3, 4, 5. c)
Using the binomial distribution formula, P (x) = nCx*p^x*(1 – p)^(n-x). Hence,
P(0) = 5C0*(0.256)^0*(1 – 0.256)^)(5-0) = 0.228
P(1) = 5C1*(0.256)^1*(1 – 0.256)^)(5-1) = 0.392
P(2) = 5C2*(0.256)^2*(1 – 0.256)^)(5-2) = 0.269
P(3) = 5C3*(0.256)^3*(1 – 0.256)^)(5-3) = 0.093
P(4) = 5C4*(0.256)^4*(1 – 0.256)^)(5-4) = 0.016
P(5) = 5C5*(0.256)^5*(1 – 0.256)^)(5-5) = 0.011
d) The mean and standard deviation of the distribution is given by:
mean = n*p = 5*0.256 = 1.28
standard deviation = √np(1 – p) = √5(0.256)(1 – 0.256) = 0.995
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which relation is a function ?
Graph A represents the relation as a function. Then the correct option is A.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
If the number of values of the dependent variables is one for a single value of the independent. Then the relation is known as function.
If the number of values of the dependent variables is more than one for a single value of the independent. Then the relation is not function.
In graph A, for each value of 'x' the number of the value 'y' is one. Then graph A represents the relation as a function.
Then the correct option is A.
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What is the measure of each of the angle of a rectangle class 8?
The measure of each of the angle of a rectangle is 90 degrees.
A rectangle is a four-sided shape with four right angles. Each angle measures 90 degrees, meaning that the sum of the angles of a rectangle is 360 degrees. This is true regardless of the size or proportions of the rectangle.
Each angle of a rectangle can also be referred to as a right angle.
A rectangle is a four-sided shape with four right angles, making each of its angles 90 degrees. This is the measure of each of the angles of a rectangle - 90 degrees.
The four angles fit together perfectly to form a rectangle, making it a very useful shape for construction and design.
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Jamal used a ride-share service that
charged $2.50 per mile. He also paid an
additional $5 in tip. If he paid $25 total, how
many miles did he travel?
Answer: 8 Miles is the answer
Step-by-step explanation: this is because if you pay a $5 tip that leaves you at $20 then you divide 20 by 2.50 which equals 8
8 is the answer
10% of 240
dis hawddd!!!
expert that helps you learn core concepts.
See Answer
A(n) ___________ solution satisfies all the constraint expressions simultaneously.
a.feasible
b.objective
c.infeasible
d.extreme
A problem is said to be infeasible if no solution exists which satisfies all the constraints.
Objective function: the expression that defines the quantity to be maximized or minimized in a linear programming model. Constraints: restrictions that limit the settings of the decision variables.
When it comes to linear programming, the solution which would be effective in satisfying all constraints in the given program in a simultaneous matter is called that of feasible programming. This is due to the fact that the program can satisfy all requirements at the same time.
Linear programming, also known as linear optimization, is a method for achieving the best result in a mathematical model with requirements represented by linear relationships. Linear programming is a special case of mathematical programming.
In linear programming, a solution that does not simultaneously satisfy all constraints is called an infeasible solution.
Therefore,
A problem is said to be infeasible if no solution exists which satisfies all the constraints.
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q12 ANSWER FOR 50 POINTS AND BRAINLIST
Initial Me charges $8 per T-shirt printed.
Monogram Mania charges less per T-shirt printed than Initial Me charges.
How determine which statements are true about Initial Me and Monogram Mania?Let's examine the linear graph:
The two companies will cost the same if 10 T-shirts are purchased and the cost is 130.
The initial fee charged by Initial Me is $50.
The initial fee charged by Monogram Mania is $80.
Note: The y-intercept of the graph is the initial fee
The slope of the lines will give the cost per T-shirts (unit rate)
Initial Me: slope = (130-50)/(10-0) = 80/10 = $8
Monogram Mania: slope = (130-80)/(10-0) = 50/10 = $5
Thus, Initial Me charges $8 per T-shirt printed while Monogram Mania charges $5 per T-shirt printed.
This implies Monogram Mania charges less per T-shirt printed than Initial Me charges.
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For which of the following values of p is the value of P(1 − p) maximized? a. p = .50 b. p = .99 c. p = .90 d. p = 1.0
For 0.50 the value of P(1 − p) maximized.
The chance of an event happening given that another event has already occurred (via assumption, supposition, statement, or evidence) is known as conditional probability in the field of probability theory. [1] This particular approach depends on event B happening in some way connected to another event A. In this case, a conditional probability analysis with respect to event B is possible.
The probability of A under the condition B is typically expressed as P(A|B)[2] or PB if the event of interest is A and the event B is known to have occurred or is assumed to have done so (A). This can alternatively be thought of as the percentage of possibility that B and A will collide.
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The graph of a line passes through the points (0, 8) and (4, 0). What is the equation
of the line?
Answer: y= -2x+8
Step-by-step explanation:
please give a step by step explanation
The radius of the sphere, given the volume of the sphere and the formula for the volume, is 15. 64 mm
How to find the radius of the sphere ?We are told that to find the volume of a sphere, we can use the formula :
Volume of sphere = 4 / 3 x π x r³
We are then given that volume in this instance to be 5, 100π mm³ which means that we can equate the formula to this volume to be able to find the radius.
We can therefore find the radius to be:
5, 100 π = 4 / 3 x π x r³
r ³ = 5, 100 π / ( 4 / 3 x π )
r ³ = 5, 100 / ( 4 / 3 )
r ³ = 3, 825
r = ∛ 3, 825
r = 15. 64 mm
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Translate into an algebraic expression: the product of the sum of a number and it’s reciprocal and the opposite of the cube of the number
If you purchase a reciprocal membership from the two museums, you can visit both at no charge.
What is a reciprocal of an algebraic expression?Mathematical expressions with variables, constants, coefficients, and algebraic operations are called algebraic expressions.
As a similar matter, the adjective reciprocal can also be used to denote something that is opposite or inversely connected (which is just about the opposite of what reciprocal is generally used to mean). A reciprocal membership is available from the two museums, allowing you access to both for free.
This fraction, turned upside down, is the reciprocal of a number. The reciprocal, then, has the top number, or numerator, on top and the bottom number, or denominator, of the original fraction on the bottom. Due to the fact that 1/6 is the inverse of 6/1 and 6 = 6/1, the reciprocal of 6 is 1/6.
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Julia went shopping for a new pair of pants because of a sale. The store was offering a 35% discount. If the price on the tag was $41, what would be the price after the discount but before tax, to the nearest dollar and cent?
The price after the discount but before tax including 35% will be $26.65.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
Price tag = $41
35% on $41 will be given as,
⇒ (35/100)41 = $14.35
Price after discount = price tag - discount
⇒ $41 - $14.35 = $26.65
Hence "The cost will be $26.65 after the discount but before the 35% tax.".
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Evaluate the iterated integral. The first integral is 0 to 2 and the second integral is 2 to 3. xy^2 dx dy. Please show step by step with detail. Thanks
\int \int xy^2 dx dy
find an equation of the tangent line to the curve y=x^4+1 that is parallel to the line 32x-y=15
An equation that is parallel to the line 32x-y=15 is y = 32x - 47.
y' = 4x³
m = slope of tangent line =slope of the given line = 32
y' = 32 at the tangent point
4x³ = 32
x = 2
y = 2⁴+ 1 = 17
The tangent point is (2,17)
Tangent line:
y = 32x + b
17 = 32(2) + b
b = -47
y = 32x - 47
The straight line that "just touches" the curve at a particular location is known as the tangent line (or simply tangent) to a plane curve in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together.
A straight line has a slope of f'(c), where f' is the derivative of f, and is said to be tangent to a curve at a point x = c if it passes through the point (c, f(c)) on the curve. Space curves and curves in n-dimensional Euclidean space have a similar definition.
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