A grocery store chain introduces a new brand of cereal in several of its stores. The function B(w)=120w150+w2 for w≥0 models the number of boxes, B, in thousands, of the cereal sold after w weeks. The graph of this function is shown below.
Select the THREE true statements regarding the graph of B(w).
A
Based on the zeros of the function, the number of boxes of cereal sold is 0 after 0 weeks.
B
Based on the zeros of the function, the number of boxes of cereal sold is 0 after 1,250 weeks.
C
Based on the end behavior of the function, the number of boxes of cereal sold will keep falling after reaching the maximum.
D
Based on the asymptote of the function, the number of boxes of cereal sold will never fall below 800 after reaching the maximum.
E
Based on the asymptote of the function, the number of boxes of cereal sold will never reach 0 after the cereal is introduced in the store.
The THREE true statements regarding the graph of B(w) are;
A) Based on the zeros of the function, the number of boxes of cereal sold is 0 after 0 weeks.
C) Based on the end behavior of the function, the number of boxes of cereal sold will keep falling after reaching the maximum.
E) Based on the asymptote of the function, the number of boxes of cereal sold will never reach 0 after the cereal is introduced in the store.
How to Interpret Quadratic Graph?
We are given the graph represented by the quadratic function;
B(w) = 120w/(150 + w²) for w ≥ 0 that models;
the number of boxes, B, in thousands, of the cereal sold after w weeks
From the graph, we can see that at the origin which is the coordinate (0, 0) that it remains so and as such the number of boxes of cereal sold is 0 after 0 weeks. Thus, option A is correct
Secondly, from the given graph, we see that the graph starts rising from zero to a maximum after which it keeps falling. Thus, we can say that option C is correct
Lastly, we see that the graph asymptote approaches 500 thousand boxes but never gets to zero and as such we can say that option E is correct.
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What is an equation example?
The definition and explanation of an equation are given below with an example.
in mathematics, an equation is defined as an expression that expresses equality between 2 quantities or expressions. We use equations quite a lot in our daily lives whenever we have to equate two quantities and find out how they are equal. These are used in all branches of science because of the huge purpose they serve.
in simple words it tells what we have on the Left-Hand Side of the "=" sign is the same as what we have on the right-hand side of the statement. Some examples of equations are-
E²=m²c⁴+p²c²
x²+3x-1=0
70 oranges= 7 oranges × 10 oranges
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simplify any fractions……………
The probability that a bike is green given that it has road tyres is 2/3
How to determine the probability?From the question, we have the following parameters that can be used in our computation:
The table of values
From the table of values, we have:
Number of bikes that are green and road tyres = 4
Number of bikes that are road tyres = 6
The probability is then calculated using the following formula
Probability = Number of bikes that are green and road tyres/Number of bikes that are road tyres
Substitute the known values in the above equation, so, we have the following representation
Probability = 4/6
Simplify
Probability = 2/3
Hence, the value of the probability is 2/3
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which value of x makes the expression 3sqrt153x equivalent to 21sqrt153
Answer:
x=1
Step-by-step explanation:
Answer: x=49
Step-by-step explanation:
equations
[tex]3\sqrt[]{153x} = 21\sqrt[]{153}[/tex]
To remove the radical on the left side of the equation, square both sides.
[tex](3\sqrt{153x})^{2}= (21\sqrt{153})^{2}[/tex]
1377x=67473
Divide each term in
1377x=67473 by 1377and simplify
x=49
Create two different explicit equations that describe the values in the table.
The explicit equations that describe the values in the table are y = 7(x - 57) - 49 and y = 7x - 448
How to determine the explicit equations?From the question, we have the following parameters that can be used in our computation:
As x increases by 1, y increases by 7
This means that the slope (m) is
m = 7
A linear equation is represented as
y = m(x - X) + Y
In this case, we have
(X, Y) = (57, -49)
m = 7
Substitute the known values in the above equation, so, we have the following representation
y = 7(x - 57) - 49
Expand
y = 7x - 448
Hence, the equation is y = 7x - 448
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Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle C?
Enter your answer in the box.
After solving for the internal angles of the given figure, we know that the value of ∠C is 44°.
What are angles?An angle is formed when two straight lines or rays meet at a single terminal.
The place where two points converge is known as an angle's vertex.
The name "angel" comes from the Latin word "angulus," which means "corner."
Acute, obtuse, right, straight, reflex and full rotation are examples of basic angles.
By joining two rays at their termini, a geometric shape known as an angle is produced.
An angle is often stated in degrees.
So, let the angle is x.
2x + 3 + 3x + 9 + 2x - 4 + x = 360
Now, calculate for x as follows:
8x + 12 - 4 = 360
8x + 8 = 360
8x = 360 - 8
8x = 352
x = 352/8
x = 44°
Therefore, after solving for the internal angles of the given figure, we know that the value of ∠C is 44°.
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A card is drawn from a standard 52-card deck. If the card is a king, you win $20; otherwise, you lose $1. What is the expected value of the game?
Let X be the random variable for the amount won on a single play of this game.
If X is a radom variable for amount you win, Then the excepted value of game or expected income i.e E(X) is 8/13.
What is Expected Income ?Expected Income is the result of multiplying your income by the probability of earning it. This expected revenue can be subtracted by the expected cost to get the expected profit.
Mathematically, E(X) = X₁p₁ + X₂p₂ + ---+ Xₙpₙ
where Xᵢ are observation and pᵢ probability of Xᵢ.
We have given that,
Total number of cards in standard card deck = 52
i.e total possible outcomes = 52
One card is drawn from deck.
Total number of king cards in 52-card deck = 4
Favourable outcomes that drawn card is king = 4
Probability of getting a king card , p = 4/52 = 1/13
Probability of not getting a king ,q = 1 - p
= 1 - 1/13 = 12/13
let X be the amount you win . You win $20 if a king is drawn and lose $1 if king is not drawn . So, probability distribution is
Xᵢ pᵢ
$20 1/13
-$1 12/13
So, E(X) = ∑ Xᵢpᵢ = 20× 1/13 + (-1)× 12/13 = 20/13 - 1/13 = 8/13
Hence, required excepted value is 8/13.
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Help me for both of them please i just need answers no explanation
Answer:
1=140 2=7
Step-by-step explanation:
Set equal to zero and solve for x. f(x)=4(x+4)(x-7)^2
Find the dimensions of a rectangle (in m) with perimeter 68 m whose area is as large as possible.
The dimension of a rectangle is 17m and 17m.
Here we have to find the area of a rectangle as large as possible.
Data given:
Perimeter = 68m
The formula for the perimeter of the rectangle:
perimeter = 2(length + breadth)
68 = 2( l + b)
l + b = 34
We have to find the largest area, so when we will take the length and breadth same then we get the largest area.
So length = breadth
2 length = 34
length = 17m
length = breadth = 17m
Therefore the dimensions are 17m and 17m.
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What properties are whole numbers closed under?
All the properties of whole numbers are closed under addition and multiplication.
Whole numbers are a set of natural numbers including zero, but the set does not include fractions, decimals, and negative integers. The set of whole numbers is represented by ‘W’={0, 1, 2, 3, 4, 5, …...}
To check if the whole numbers are closed under subtraction or not we will check out the four properties namely, the closure property, the commutative property, the associative property, and the distributive property.
Let us consider each property one by one -
1. The closure property-
let's take two whole numbers say 5 and 3.
now, 5+3=8
and 5 × 3 =15
Thus, whole numbers are closed under addition and multiplication by closure property.
2. The commutative property-
let's take two whole numbers say 5 and 3.
now, 5+3=8 and 3+5=8,
hence, we get 3+5 = 5+3.
Also, 5 × 3 =15 and 3 × 5 =15
hence, we get 5 × 3 = 3 × 5
Thus, whole numbers are closed under addition and multiplication by commutative property.
3. The associative property-
let's take three whole numbers say 5, 3, and 1.
now (5+3)+1 = 9 and 5+(3+1)= 9
hence, we get (5+3)+1 = 5+(3+1).
Also, (5×3)×1 = 15 and 5×(3×1)= 15
hence, we get (5×3)×1 = 5×(3×1).
Thus, whole numbers are closed under addition and multiplication by associative property.
4. The distributive property-
let's take three whole numbers say 1, 6, and 5.
now, 1 × ( 6 + 5 ) = 1 + 6 – 1 × 5 = 1
and 1 × ( 6 – 5 ) = 1 × 1 = 1
Hence, 1=1.
Also, 1 × (6×5)= (1 × 6) × (1 ×5) = 6 × 5 =30
and 1 × (6×5) = 1 × 30 =30
hence, we get 30=30.
Thus, whole numbers are closed under addition and multiplication by distributive property.
Hence, we can conclude that all the properties of whole numbers are closed under addition and multiplication.
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The complete question is-
What properties are whole numbers closed under addition and multiplication?
A cylinder has a base diameter of 8 inches and a height of 7 inches. What is its volume in cubic inches, to the nearest tenths
place?
Answer:
351.9 cubic inches
Step-by-step explanation:
The volume formula for a cylinder is:
[tex]V=\pi r^{2} h[/tex]
r is the radius
h is the height
To find the radius, we simply divide the diameter by 2 since the radius is have of the diameter. This will give us 4. Now we just put our values into the formula and solve with a calculator:
[tex]V=\pi (4^{2}) (7)\\V=\pi 16(7)\\V=\pi 112\\V=351.85\\[/tex]
The rounded number is 351.9
In working with two variables related by a regression equation, the _________________ in a variable is the amount that it changes when the other variable changes by exactly one unit.
In working with two variables related by a regression equation, the marginal change in a variable is the amount that it changes when the other variable changes by exactly one unit.
What is the regression equation for two independent variables?The regression equation, Y'i = b₀ + b₁X₁[tex]_{i}[/tex] + b₂X₂[tex]_{i}[/tex], in three dimensions, defines a plane. If you computed all possible values of Y for all possible values of X1 and X2, all of the points would fall on a two-dimensional surface.If y is the dependent variable and x is the independent variable in a regression analysis, the relationship is described as the regression of y on x. A simple equation known as the regression equation can be used to represent the relationship.Learn more about regression equation at: brainly.com/question/29582333
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a discussion of digital ethics appears in an article. one question posed in the article is: what proportion of college students have used cell phones to cheat on an exam? suppose you have been asked to estimate this proportion for students enrolled at a large university. how many students should you include in your sample if you want to estimate this proportion to within 0.07 with 95% confidence? (round your answer up to the nearest whole number.)
Number of students included in the sample to estimate the proportion with confidence interval 95% is equal to 9604.
As given in the question,
Confidence interval = 95%
z -critical value for 95% confidence interval = 1.96
Estimate proportion is in the limit 0f 0.07
Let us assume value of
sample proportion 'p' = 0.5
Margin of error = 0.01
level of significance = 0.05
let 'n' be the sample size to represent number of students included for the hypothesis.
n = p ( 1 - p ) ( z- critical value / margin of error )²
⇒ n = 0.5 ( 1 - 0.5 )( 1.96 / 0.01 )²
⇒ n = 0.5 (0.5 ) (3.8416/ 0.0001)
⇒ n = 0.25 × 38416
⇒ n = 9604
Therefore, the number of students included for the hypothesis to estimate the proportion with confidence interval 95% is equal to 9604.
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Kira set a goal to walk 60 miles this month. She walks at a consistent rate of 4 miles per hour. How long will kira have to walk in order to reach her goal?.
Answer: It will take her 15 hours to walk 60 miles at the constant rate of 4 miles an hour.
Step-by-step explanation:
60/4 is 15. Kira's total is 60, and her rate is 4. Rate*time=distance, and distance/time=rate.
pls I'm begging someone please help me out I'm givings lots of points (btw ik it's not math I just accidently clicked math for the subject lol)
Answer:
the answer is C! hope this helps!! in which it will
How do you solve 5 linear equations?
Steps to solve linear equations;
Clear decimals or fractions.To make the equation simpler, remove the parentheses from either side and consolidate related statements.On the other side of the equation, eliminate the variable term.To determine the answer, divide both sides of the equation.Verify your response.Given,
Linear equations;
The typical form for linear equations with two variables is Ax + By = C. For instance, the equation 2x + 3y = 5 is a standard form linear equation. Finding both intercepts of an equation in this style is quite easy (x and y).
Here,
To resolve linear equations, follow these steps:
Clear decimals or fractions.To make the equation simpler, remove the parentheses from either side and consolidate related statements.On the other side of the equation, eliminate the variable term.To determine the answer, divide both sides of the equation.Verify your responseLearn more about linear equations here;
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The scatterplot shows the number of hours of study for 10 students and their scores on a state test. How many students studied more than 5 hours?
There are four students who studied more than 5 hours.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The scatterplot shows the number of hours of study for 10 students and their scores on a state test.
The x axis represents the number of study hours and y represents the test scores.
A scatterplot is a type of data display that shows the relationship between two numerical variables
From the graph, there are 5 students who have studied less than 5 hours and 1 student is studied for 5 hours and Remaining students were studied more than 5 hours.
Hence, there are four students who studied more than 5 hours.
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How much simple interest is earned on an investment of $800 with a rate of 6.1% over 7 years?
A. $341.60
B. $410.87
C. $3,416.00
D. $4,108.70
Answer:
$341.60
Step-by-step explanation:
I=Prt
I=800(0.061)(7)
I=48.8x7
I=341.6
Hopes this helps
S varies directly as t. if s is 20 when t is 4 then t is ____ when s is 30
Answer:
Step-by-step explanation:
s = 20, t = 4
s = 30, t =?
[tex]\frac{20}{4} = \frac{30}{t}[/tex]
[tex]20t = 120 \\t = 6[/tex]
∴ t is 6 when s is 30.
the area of a square is numerically equal to twice its perimeter. find the length of a side of the square.
The length of a side of the square is 8 unit.
Area of Square:
The area of a square is defined as the number of square units required to fill the square. Area is generally defined as the area occupied within the bounds of a planar object. Measurements are in square units and the default unit is square meters (m²).
Area of a Square = Side × Side
Therefore, the area of square = Side² square units
and, the perimeter of a square = 4 × side units
Given:-
Area of square is equal to twice its perimeter
To find:-
Side of square = ?
Now,
Let the side of square be a
Perimeter of square=4a
Area of Square = a²
Now,
According to the Question:
Area of Square = 2 × Perimeter of Square
⇒ a² = 2 ×4a
⇒ a² = 8a
⇒ a = 8.
Therefore, the side of square is 8 unit.
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A company find that it advertiing cot increaed from 72000 to 76680 in a year. What wa the rate of increae?
Using the basic percentage change rule, the answer is 6.5%.
What do you mean by percentage?In essence, percentages are fractions with a 100 as the denominator. In order to indicate that a number is a percentage, the percent symbol (%) is placed next to the number.
What is the formula to find percentage change?The required formula is:
[tex]Percentage = \frac {change}{inital} * 100[/tex]
initial=72000
final=76680
change=76680-72000
=4680
% change = 4680 / 72000 * 100
=6.5%
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what is the slope and y intercept of y+1=4/3x and how do you find the answers
Answer:
y intercept) -1
slope) 4/3
Step-by-step explanation:
To find the slope, we first need to move the 1 to the other side to get:
y = 4/3x - 1
The slope of an equation is basically the number next to the x, and it calculates the rise over the run. For this equation, for example, the slope is:
4/3
The y-intercept is when the line crosses the y-axis. Since all slope intercept form problems are written as y = mx + b, the b defines the y-intercept in this case it is:
-1
A car travels 2 3/4 miles in 4 1/2 minutes. How many miles does the car travel in 1 minute?
There are 11/18 miles does the car travel in 1 minute.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A car travels 2 3/4 miles in 4 1/2 minutes.
Now,
Since, A car travels 2 3/4 miles in 4 1/2 minutes.
Hence, The distance cover by car in 1 minute = 2 3/4 ÷ 4 1/2
= 11/4 ÷ 9/2
= 11/4 × 2/9
= 11/18 miles
Thus, The car travel 11/18 miles in 1 minute.
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a + b + c= What when a=8,b=11,c=-13
Answer:
6
Step-by-step explanation:
brainlyiest
Answer:
six
Step-by-step explanation:
8 plus 11 subyract 13
Is 2 a factor of 73 ?
Answer: No
Step-by-step explanation:
Because 73 can't be divided by 2, it is not a factor!
Answer:
No
Step-by-step explanation:
2 is not a factor because 73 is an odd number
2 is only a factor of even numbers with the exception of 0 (if you believe it is an even number)
Hope this helped and have a good day
0.84 is 28% of what number
which of the choices represents the number of days a taxpayer is allowed to extend the time to petition the tax court?a. 10 days, plus any days the location was unavailable or inaccessible. b. 12 days, less any days the location was unavailable or inaccessible. c. 14 days, plus any days the location was unavailable or inaccessible.d. 21 days, less any days the location was unavailable or inaccessible.
The right response is 21 days, minus any days that the location was unavailable or inaccessible.
What is the time petition of the tax court?This is due to the fact that taxpayers have 21 days starting from the date of the Notice of Deficiency to file a petition with the Tax Court, as per the Internal Revenue Service. However, the taxpayer can be given longer time to submit the petition if their place of residence or business was inaccessible or unavailable as a result of a natural disaster..
Upon receiving a Notice of Deficiency, the Internal Revenue Service (IRS) gives taxpayers 21 days to file a petition with the Tax Court. This petition is a formally filed motion asking the court to consider the proposed assessment of the IRS and resolve the taxpayer's disagreements with the agency.
Therefore, the right response is 21 days, minus any days that the location was unavailable or inaccessible.
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Write an equation of the line with the given points.
(0, 1), (1, -2)
Answer:
y = -3× + 1
use slope intercept formula and
m= y1 -y2/x1- x2 plug in the coordinates.
Find the area of the kite below to the nearest tenth. Be sure to label the unit.
Answer:
25
Step-by-step explanation:
3x3= 9 5x3 =15 9+15 = 25
Answer:
24 cm^2
Step-by-step explanation:
there are 2 different types of triangles in this photo
2 3 by 3 cm triangles and 2 5 by 3 triangles
3x3=9
9/2=4.5 cm^2
5x3=15
15/2
7.5 cm^2
now add these
7.5+4.5
12
and now multiply by 2
12x2
24
hopes this helps