Answer:
y ≤ 1/3x - 4
Step-by-step explanation:
it could not be options 3 or 4 because the y-intercept is -4, not +4
I picked a point in the shaded area to see which inequality, the first or the second, would make it true; the point I used was (3, -4)
1st option: y ≥ 1/3x - 4 Is this true? -4 ≥ 1/3(3) No, -4 is not GE 1
2nd option: y ≤ 1/3x - 4 Is this true? -4 ≤ 1/3(3) Yes, -4 is LE 1
Urban rail systems have been proposed to alleviate traffic congestion, but results in many cities have been cited as evidence that this approach to traffic management is ineffective. For example, a U.S. city that opened three urban rail branches experienced a net decline of 3,100 urban rail commuters during a period when employment increased by 96,000. Officials who favor urban rail systems as a solution to traffic congestion have attempted to counter this argument by noting that commuting trips in that city represent just 20 percent of urban travel.
The response of the officials to the claim that urban rail systems are ineffective is most vulnerable to criticism on the grounds that it
A) presents no evidence to show that the statistics are incorrect
B) relies solely on general data about U.S. cities rather than data about the city in question
C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion
D) fails to show that the decline in the number of urban rail commuters in one U.S. city is typical of U.S. cities generally
E) provides no statistics on the use of urban rail systems by passengers other than commuters
Answer:
C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion
Step-by-step explanation:
The correct option is - C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion
Reason -
Option A is incorrect because the statistics can not be incorrect.
Option B is incorrect because they are not talking about the city.
Option C is correct because Urban rail reduces congestion.
Option D is incorrect because the opposers cited the example of one city and the supporters are presenting evidence in the case of that city itself.
Option E is incorrect because they are providing an explanation for why the commuters data given by opposers is not relevant. The opposers talked about commuters.
How do you find the gradient of y 2x 3?
The gradient of the equation y=2x+3 is 2.
The Gradient (also called Slope) of a line shows how steep it is.
The gradient of a function is defined to be a vector field. Generally, the gradient of a function can be found by applying the vector operator to the scalar function. (∇f (x, y)). This kind of vector field is known as the gradient vector field.
Given equation: y = 2x + 3
y = mx + c
2x - y = -3
x/ -3/2 + y/3 = 1
Comparing both the equation we get,
m=2 (slope) and c=3(intercept)
So the gradient is 2.
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find cot θ of csc θ = sqrt 5/2 and tan θ 0
Cot θ is equal to 1/2.
To find cot θ, we need to use the given information:
csc θ = √(5/2)
tan θ = 0
We can use the reciprocal identities and the Pythagorean identity to find cot θ.
Reciprocal Identity:
csc θ = 1/sin θ
Pythagorean Identity:
\(sin^2\) θ + \(cos^2\)θ = 1
Given that csc θ = √(5/2), we can find sin θ:
1/sin θ = √(5/2)
sin θ = 2/√5
Using the Pythagorean identity, we can find cos θ:
\(sin^2\) θ + \(cos^2\) θ = 1
\((2/√5)^2\)+ \(cos^2\) θ = 1
4/5 + \(cos^2\) θ = 1
\(cos^2\) θ = 1 - 4/5
\(cos^2\)θ = 1/5
cos θ = ±√(1/5)
Now, we can find cot θ:
cot θ = cos θ / sin θ
Since tan θ = 0, it means that sin θ is not equal to 0, as tan θ = sin θ / cos θ. Therefore, we can use the positive value of cos θ.
cot θ = (√(1/5)) / (2/√5)
cot θ = (√5/√5) / (2/√5)
cot θ = 1/2
Therefore, cot θ is equal to 1/2.
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List all the permutations of four objects m, I, n, and k taken two at a time without repetition. What is P? List all the permutations of four objects m, I, n, and k taken two at a time without repetition. Choose the correct answer below. O A. m, mn, mk, In, lk, nk OB. ml, mn, mk, Im, in, lk, nm, nl, nk, km, kl, kn OC. m. I, n,k OD. mm, ml, mn, mk, II, In, lk, nn, nk, kk What is P2?
The permutations of four objects m, I, n, and k taken two at a time without repetition are: mn, mk, mi, nm, nk, ni, km, kn, ki, in, im, ik.
P is the total number of permutations, which is equal to 12.
The correct answer is OB, which lists all 12 permutations.
P2 is the number of permutations taken two at a time with repetition allowed. This means that we can repeat the same object in a permutation.
There are 16 possible permutations with repetition allowed: mm, ml, mn, mk, ll, ln, lk, nn, nk, kk, ii, ik, nn, ni, nk.
Therefore, P2 is equal to 16.
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For his long distance phone service, Ali pays a 7 monthly fee plus 7 cents per minute. Last month, Ali's long distance bill was 19.53 . For how many minutes was Ali billed?
Answer:
179 minutes
Step-by-step explanation:
From the information given, you know that the total cost of the long distance service is equal to 7 plus the result of multiplying 0.7 for the number of minutes:
Total cost=7+0.07x, where x is the amount of minutes.
Now, you can replace the total cost with 19.53 that is the amount Ali was billed and solve for x:
19.53=7+0.07x
19.53-7=0.07x
12.53=0.07x
x=12.53/0.07
x=179
According to this, the answer is that Ali was billed for 179 minutes.
determine the balance a for p dollars iinvested at a rate r for t years and compunded n times per year
The balance A for P dollars invested at a rate r for t years and compounded n times per year can be calculated using the formula: A = P (1 + r/n)^(n*t)
where:
P = the principal amount (initial investment)
r = the annual interest rate (as a decimal)
t = the number of years the money is invested
n = the number of times the interest is compounded per year
A = the total amount including principal and interest
To solve for the balance A, simply substitute the given values for P, r, t, and n into the formula and evaluate:
For example, let's say we invest $5000 at an annual interest rate of 4.5% for 3 years, compounded monthly (n=12).
P = $5000
r = 0.045 (4.5% expressed as a decimal)
t = 3 years
n = 12 (compounded monthly)
A = 5000 (1 + 0.045/12)^(12*3)
= 5000 (1.00375)^36
= $5,838.27
Therefore, balance A is $5,838.27 after 3 years of investing $5000 at an annual interest rate of 4.5%, compounded monthly.
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-2, -7, -12,-17, ...
find out the nth term
Answer: -42
Step-by-step explanation:
Add 5 to each number until you reach the ninth term.
Answer:
-42 is the ninth term
Step-by-step explanation:
You need to find patterns in these kinds of problems. What do you do to the number to get to the next one? In this case, you are subtracting 5 from every number to get to the next. Therefore, to get to the ninth number, you must continue the pattern like this:
-2 (now subtract 5), -7 (subtract 5), -12 (-5), -17 (-5), -22 (-5), -27 (-5), -32 (-5), -37 (-5), -42 (-5)
Will give Brainliest! The Math Club at North High School decided to have a car wash to raise money for expenses related to math competitions. The graph below shows the relationship between cars washed and earnings (in dollars). What is the domain of the graph?
-20 ≤ y ≤ 40, where x ≥ 0
-20 ≤ y ≤ 40, where y is all integers
0 ≤ x ≤ 12, where x ≥ 0
0 ≤ x ≤ 12, where x is all non-negative integers
Answer:
the second one Step-by-step explanation:
A rectangular area rug has a length of 3 4 feet and a width of 2 3/4
feet. What is the area of the rug?
Answer:
93.5 feet squared
Step-by-step explanation:
l=34 feet
w=2 3/4 feet
2 3/4 also = 2.75
how to write an exponential function from a word problem
To write an exponential function from a word problem, identify the pattern, determine the initial value, find the growth/decay factor, determine the independent variable, and write the function as y = a * \(b^x.\)
1. Identify the exponential growth or decay pattern: Read the word problem carefully to determine if it describes exponential growth or decay. Look for keywords such as "grows exponentially," "doubles/halves every," or "decays exponentially."
2. Determine the initial value: Identify the starting point or initial value mentioned in the problem. It could be a population size, an initial amount, or any measurable quantity at the beginning.
3. Find the growth/decay factor: Determine the factor by which the initial value increases or decreases over a specific interval. This factor is often given in the problem as a percentage or a rate.
4. Determine the independent variable: Identify the quantity that is changing over time. This could be time itself or any other variable that affects the growth or decay.
5. Write the exponential function: Use the general form of an exponential function, which is y = a * \(b^x\), where 'a' represents the initial value, 'b' is the growth/decay factor, and 'x' is the independent variable. Substitute the values you determined in steps 2-4 into the equation.
6. Simplify and interpret the function: Simplify the equation if possible and interpret the function in the context of the word problem. This involves understanding what the variables represent and how they relate to the situation described. Remember to double-check your work and ensure the function aligns with the problem's details and conditions.
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To write an exponential function from a word problem, follow these steps: identify the exponential growth or decay pattern, determine the initial value and base, write the exponential function using the form y = ab^x, substitute the given values, and simplify if necessary.
To write an exponential function from a word problem, follow these steps:
Read the word problem carefully and identify the exponential growth or decay pattern.Determine the initial value (a) and the base (b) from the problem.Write the exponential function using the form y = ab^x, where a is the initial value, b is the base, and x is the exponent.Substitute the given values into the function to find the specific equation.Simplify the equation if necessary.For example, let's say you have a word problem that describes exponential growth with an initial value of 100 and a growth factor of 1.05. The exponential function would be y = 100 * 1.05^x.
Remember to always carefully analyze the word problem and identify the relevant information to write the correct exponential function.
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An electrician leans an extension ladder against the outside wall of a house so that it
reaches an electric box 22 feet up. The ladder makes an angle of 66° with the ground.
Find the length of the ladder. Round your answer to the nearest tenth of a foot if
necessary.
Answer:
z
Step-by-step explanation:
hope it will help full
is it right
Answer:24.1 feet long
Step-by-step explanation:
The ordered pairs shown below represent a relation. (3, 2) (5, 1) (6, 0) (4, 4) (5,2) Which number is not in the domain of the relation?
a2
b3
c4
d5
Answer:
d) 5
Step-by-step explanation:
we can observe that the x-value 5 appears twice in the relation. However, in a function or a relation, each x-value should only have one corresponding y-value. Therefore, the repetition of (5, 1) and (5, 2) indicates an inconsistency or ambiguity in the relation. As a result, 5 is not a valid x-value in the domain.
Kade measured the growth of a bean plant for 30 days. He plotted his
data and calculated the equation y = x + 3 to model the growth. Which
is the meaning of the y-intercept in this equation?
Answer:
y = x - 3
Step-by-step explanation:
Hii can someone who is really good at math please help me with these 2 math questions. I'm struggling with them!!
What do you have to do to
determine which function increases faster when
looking at a table and a graph of two different
functions PLS SOMEONE HELP
To determine which function increases faster, we have to find the ratio = \(\frac{\triangle y}{\triangle x}\).
Rate of Change:
A rate of change describes how an output quantity changes relative to the change in the input quantity. The units on a rate of change are “output units per input units.”
The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
\(\frac{\triangle y}{\triangle x} = \frac{f(x_{2})-f(x_{1}) }{x_{2}-x_{1}}\)
How to determine:
Given the value of a function at different points, calculate the average rate of change of a function for the interval between two values \(x_{1}\) and \(x_{2}\).
Calculate the difference \(y_{2}-y_{1} = \triangle y\)Calculate the difference \(x_{2}-x_{1} = \triangle x\)Find the ratio \(\frac{\triangle y}{\triangle x}\)Hence the answer is to determine which function increases faster, we have to find the ratio = \(\frac{\triangle y}{\triangle x}\).
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How many solutions does this system have? 3x+ 5y=-9
Answer:
See below :)
Step-by-step explanation:
Infinite. We can prove it by graphing and after graphing, we can see that the line never ends indicating all points on the line are solutions.
Isla has 225 trading cards and Lily has 180 trading cards. a) Calculate the number of Isla's trading cards as a percentage of the number of Lily's trading cards. b) Calculate the number of Lily's trading cards as a percentage of the number of Isla's trading cards. Give your answers to the nearest 1%.
(a) Isla's trading cards are 125% of Lily's trading cards.
(b) Lily's trading cards are 80% of Isla's trading cards.
Given that,
There are 225 trading cards and Lily has 180 trading cards.
To calculate the percentage of Isla's trading cards compared to Lily's,
We can use this formula:
⇒ Isla's trading cards / Lily's trading cards x 100%
Plugging in the values we get:
⇒ (225 / 180) x 100% = 125%
Therefore,
Isla's trading cards are 125% of Lily's trading cards.
b) To calculate the percentage of Lily's trading cards compared to Isla's, we can use the formula:
⇒ Lily's trading cards / Isla's trading cards x 100%
Plugging in the values we get:
(180 / 225) x 100% = 80%
Therefore,
Lily's trading cards are 80% of Isla's trading cards.
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how many independent variables are in a 2x3x2 factorial design
A 2x3x2 factorial design has three independent variables. What is a factorial design? A factorial design is an experimental design that studies the impact of two or more independent variables on a dependent variable.
The notation of a factorial design specifies how many independent variables are used and how many levels each independent variable has. In a 2x3x2 factorial design, there are three independent variables, with the first variable having two levels, the second variable having three levels, and the third variable having two levels.
The number of treatments or conditions required to create all feasible combinations of the independent variables is equal to the total number of cells in the design matrix, which can be computed as the product of the levels for each factor.
In this case, the number of cells would be 2x3x2=12.Therefore, a 2x3x2 factorial design has three independent variables and 12 treatment groups..
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A point (a,b) shown in below graph in polar coordinates is given. Convert the point to rectangular coordinates.
a = 6, b = pi/2
Answer:
When converting the polar coordinates a=6, b=pi/2. the rectangular coordinates would be
C) (0,6)
Find the area of a circle
Answer: 452 cm squared
Step-by-step explanation:
Since the diameter is the radius times two, the radius of this circle is 24 divided by 2 which is 12. To find the area of a circle you multiply the radius by pi. Pi= 3.14, so 3.14(pi) times 12(radius)= 452.16 cm.
Answer:
452.16 ft²
Step-by-step explanation:
find radius
24 : 2 = 12 ft
find area (πr²)
π12² =
3.14 * 12² =
3.14 * 144 =
452.16 ft²
an accessories company finds that the revenue, in dollars, from the sale of x belts is given by R(x) = 65x^(9/10). Find the rate at which average revenue is changing when 177 belts have been produced and sold.
The rate at which the average revenue is changing at x = 177 (the quantity of belts produced and sold) is approximately -0.0345.
How to Solve the Problem?To discover the rate at which the average income is changing, we ought to differentiate the income function and after that assess it at the given amount of belts.
The income work is given as:
R(x) = 65x^(9/10)
To discover the normal income, we partition the whole income by the amount of belts delivered and sold. So, the normal income work, AR(x), is:
AR(x) = R(x) / x = (65x^(9/10)) / x = 65x^(-1/10)
To discover the rate at which normal income is changing, we got to separate the normal income work, AR(x), with regard to x.
d/dx [AR(x)] = d/dx [65x^(-1/10)]
Utilizing the control run the show of separation, ready to rework this as:
d/dx [AR(x)] = -1/10 * 65x^(-1/10 - 1) = -6.5x^(-11/10)
Presently, we will assess the subordinate at x = 177 (the amount of belts delivered and sold) to discover the rate at which normal income is changing:
d/dx [AR(x)] = -6.5(177)^(-11/10)
Calculating this value will give us the required result of -0.0345.
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Elena’s dad buys another type of cell phone that also usually sells for $250. He pays 75% of the usual price. How much did he pay?
When buying advertiing time on televiion or in magazine, advertier calculate the cot per thouand (CPM) people reached by the ad. If the cot of advertiing wa $100,000 and the reach or circulation wa 10,000,000 people, what would be the CPM? (Note: M i the Roman numeral for 1,000. )
If the cost of advertising was $100,000 and the reach or circulation was 10,000,000 people, then the CPM is $10.
Cost per thousand (CPM), which is also called cost per mille, is a marketing word used to denote the price of 1,000 advertisement prints on one web page. If a publisher of a website charges $2.00 CPM, that means an advertiser must pay $2.00 for every 1,000 prints of its ad.
The CPM is calculated by dividing the cost of the advertisement by the number of people reached and then multiplying by 1000.
Given that the cost of advertising was $100,000 and the reach was 10,000,000 people, the CPM can be calculated as follows:
CPM = ($100,000 / 10,000,000) × 1000 = $10.
So, the CPM is $10.
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write these numbers in order starting with smallest 3.6 3.116 3.16
Answer:
3.116, 3.16, 3.6
Step-by-step explanation:
I hope this helps! :) Have a lovely day!
46n = 350 what does n stand for?
Answer:
n=7.6
Step-by-step explanation:
350÷46=n
n=7.6
Hope this helps! :)
5a) Determine the measure of each unknown angle
Answer:
Step-by-step explanation:
25, i think
You are the owner of an ice cream shop. You charge $2 for a single scoop cone and $3 for a double scoop cone. Yesterday, you made $206 and sold 86 cones total. How many of each cone did you sell? Write a system of linear equations and solve.
Answer:
las vidas una carnival
Step-by-step explanation:
How can we solve this question ?A bowl contains 1010red balls and 1010blue balls, and a women picks up balls from the bowl, at random, without looking.A) How many balls must she pickup in order for her to be sure she is holding at least 33balls of the same color?B) How many balls must she pickup in order for her to be sure she is holding at least 33blue balls ?
woman must pick up at least 43 balls to be sure she is holding at least 33 blue balls.we can use the Pigeonhole Principle.
A) In order for the woman to be sure she is holding at least 33 balls of the same color, we need to find the minimum number of balls she must pick up such that there are at least 33 balls of each color.
Since there are 10 red balls and 10 blue balls, we can pick up 32 balls without getting 33 of the same color. However, if we pick up one more ball (33rd ball), it must be the same color as one of the previous 32 balls, either red or blue.
Therefore, the woman must pick up at least 33 balls to be sure she is holding at least 33 balls of the same color.
B) In order for the woman to be sure she is holding at least 33 blue balls, we need to find the minimum number of balls she must pick up such that there are at least 33 blue balls.
If the woman is lucky, she could pick up 32 balls without getting 33 blue balls. However, if she picks up 33 balls, the worst-case scenario is that she picks up all the red balls and only 10 blue balls.
Therefore, woman must pick up at least 43 balls to be sure she is holding at least 33 blue balls.
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What is the area of the hexagon?
Answer:
\(Split \ the \ hexagon \ into \ 2 \ trapezoid .\\\\Area \ of \ trapezoid = \frac{a + b}{2} \times h \\\\a = 5 \ , \ b = 9.28, h = 4\\\\Area \ of \ 1\ trapezoid = \frac{5 + 9.28}{2} \times4 = 28.56cm^2\\\\Total \ area = 2 \times 28.56 = 57.12cm^2\)
Answer:
\(Area:-\)
\((1/x\times~5\times~4)x2\)
\(+4x(1/2\times4.64\times4^2)\)
\(=20+37.12\)
\(=57.12~cm^2\)
------------------------
hope it helps..
have a great day!!
A rectangular mural has a length of l centimeters and a width 30 centimeters less than its length. how much does it cost to border the outside of the mural using 1-centimeter square tiles that cost $2 each?
The cost to border the outside of the mural using 1-centimeter square tiles is 600 dollars.
What is Area of Rectangle?The area of Rectangle is length times of width.
We have been given that a rectangular mural has a length of 90 centimeters and a width of 30 centimeters less than its length.
Length = 90 cm
Width = 90 - 30 = 60 cm
The formula to calculate the perimeter of a rectangle,
Perimeter = 2(length + breadth)
Perimeter = 2(90 + 60)
Perimeter = 2(150)
Perimeter = 300
Therefore, the cost to border the outside of the mural using 1-centimeter square tiles costs $2 each.
= 300 x 2
= 600 dollar
Hence, the cost to border the outside of the mural using 1-centimeter square tiles is 600 dollars.
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