Cheyenne can buy a maximum of 13 bags of Takis.
We have,
To find the maximum number of bags of Takis Cheyenne can buy with $20, we need to divide the total amount of money she has by the cost per bag of Takis.
Cost per bag of Takis = $1.50
Total money Cheyenne has = $20
Maximum number of bags of Takis = Total money / Cost per bag
Maximum number of bags of Takis = $20 / $1.50
Maximum number of bags of Takis = 13.33
Since Cheyenne cannot buy a fraction of a bag, the maximum number of bags of Takis she can buy is 13.
Thus,
Cheyenne can buy a maximum of 13 bags of Takis.
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Complete the table of values below: x -3 -2 -1 0 1 2 3 How the graph relates to y=2x y=2x Answer Answer Answer Answer Answer Answer Answer Not applicable y=-2x Answer Answer Answer Answer Answer Answer Answer multiplied by Answer y=(3)(2x)
Answer:
The values of x are:
x : -3, -2, -1, 0, 1, 2, 3
Let's solve each by putting each value of x into each equation:
a \(y = 2^x\)
> x = -3
=> y = 2^(-3) = 1/8
> x = -2
=> y = 2^(-2) = 1/4
> x = -1
=> y = 2^(-1) = 1/2
> x = 0
=> y = 2^0 = 1
> x = 1
=> y = 2^1 = 2
> x = 2
=> y = 2^2 = 4
> x = 3
=> y = 2^3 = 8
b. \(y = -2^x\)
> x = -3
=> y = -2^(-3) = -1/8
> x = -2
=> y = -2^(-2) = -1/4
> x = -1
=> y = -2^(-1) = -1/2
> x = 0
=> y = -2^0 = -1
> x = 1
=> y = -2^1 = -2
> x = 2
=> y = -2^2 = -4
> x = 3
=> y = -2^3 = -8
c. \(y = (3)(2^x)\)
> x = -3
=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8
> x = -2
=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4
> x = -1
=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2
> x = 0
=> y = 3 * 2^0 = 3 * 1 = 3
> x = 1
=> y = 3 * 2^1 = 3 * 2 = 6
> x = 2
=> y = 3 * 2^2 = 3 * 4 = 12
> x = 3
=> y = 3 * 2^3 = 3 * 8 = 24
Input these values into the table.
Answer:
a y = 2^x
> x = -3
=> y = 2^(-3) = 1/8
> x = -2
=> y = 2^(-2) = 1/4
> x = -1
=> y = 2^(-1) = 1/2
> x = 0
=> y = 2^0 = 1
> x = 1
=> y = 2^1 = 2
> x = 2
=> y = 2^2 = 4
> x = 3
=> y = 2^3 = 8
b. y = -2^x
> x = -3
=> y = -2^(-3) = -1/8
> x = -2
=> y = -2^(-2) = -1/4
> x = -1
=> y = -2^(-1) = -1/2
> x = 0
=> y = -2^0 = -1
> x = 1
=> y = -2^1 = -2
> x = 2
=> y = -2^2 = -4
> x = 3
=> y = -2^3 = -8
c. y = (3)(2^x)
> x = -3
=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8
> x = -2
=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4
> x = -1
=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2
> x = 0
=> y = 3 * 2^0 = 3 * 1 = 3
> x = 1
=> y = 3 * 2^1 = 3 * 2 = 6
> x = 2
=> y = 3 * 2^2 = 3 * 4 = 12
> x = 3
=> y = 3 * 2^3 = 3 * 8 = 24
Step-by-step explanation:
PLS HELP I WILL REALY BE HAPPY IF YOU HELPED A window is being replaced with tinted glass. The plan below shows the design of the window. Each unit length represents 1 foot. The glass costs $13 per square foot. How much will it cost to replace the glass? Use 3.14 for π
can i get some help on this pretty please?
1. Each of these relationships reflects a correlation. Which relationship most likely reflects correlation but not causation?
Answer
A. Cleaning windows more often is associated with vacuuming more often.
B. Having more dogs is associated with vacuuming more often.
C. Hosting more dinner parties is associated with vacuuming more often.
Answer: A
Step-by-step explanation:
A. Cleaning windows more often is associated with vacuuming more often. This relationship most likely reflects correlation but not causation because it is possible that these two activities are related, but not necessarily because one causes the other. For example, it is possible that the increased frequency of vacuuming is unrelated to the increased frequency of window cleaning and is actually due to other factors such as the amount of time spent at home.
The statement 'A. Cleaning windows more often is associated with vacuuming more often' most likely represents correlation but not causation, as one activity does not necessarily lead to the other.
Explanation:The statement 'A. Cleaning windows more often is associated with vacuuming more often' most likely reflects a correlation but not causation. This implies that although the two activities may happen together, one does not necessarily cause the other. For instance, a person could clean the windows without necessarily vacuuming more often.
Whereas, in option B and C, having more dogs and hosting dinner parties could possibly lead to vacuuming more often due to increased dirtiness and cleanliness needs, thus indicating a probable causation.
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For the following two utility functions, derive the indifference curve equations for when U=1,U=2, and U=3. Roughly, sketch the shape of the indifference curves for the equations you derived. 1 (a) U(x,y)=x41y43 (1 point) (b) U(x,y)=y−2x. (1 point) (c) For each of the two utility functions, do the preferences they represent satisfy completeness, transitivity, and monotonicity? If not, which assumptions are violated? How do these violations affect the indifference curves you sketched? (3 points)
For the utility function U(x, y) = \((x^4)/(y^4)\), we can derive the indifference curve equations by setting the utility function equal to the given values U = 1, U = 2, and U = 3.
1. When U = 1:
\((x^4)/(y^4) = 1\)
\(x^4 = y^4\)
Taking the fourth root of both sides, we get:
x = y
2. When U = 2:
\((x^4)/(y^4) = 2\)
\(x^4 = 2y^4\)
\(x = (2^(1/4)) * y\)
3. When U = 3:
\((x^4)/(y^4) = 3\)
\(x^4 = 3y^4\)
\(x = (3^(1/4)) * y\)
The indifference curves for this utility function are shaped like a rectangular hyperbola, where the ratio of x to y remains constant along each curve.
(b) For the utility function U(x, y) = y - 2x, the indifference curves can be derived by setting the utility function equal to the given values U = 1, U = 2, and U = 3.
1. When U = 1:
y - 2x = 1
y = 2x + 1
2. When U = 2:
y - 2x = 2
y = 2x + 2
3. When U = 3:
y - 2x = 3
y = 2x + 3
The indifference curves for this utility function are straight lines with a slope of 2. They have a positive slope, indicating a positive marginal rate of substitution between x and y.
(c) Both utility functions satisfy completeness, transitivity, and monotonicity.
1. Completeness: The preferences are complete if, for any two bundles of goods, the consumer can compare and rank them. Both utility functions provide a ranking of bundles based on their utility values, indicating completeness.
2. Transitivity: Transitivity implies that if bundle A is preferred to bundle B, and bundle B is preferred to bundle C, then bundle A must be preferred to bundle C. Both utility functions satisfy this assumption.
3. Monotonicity: Monotonicity assumes that more is better. If a bundle has higher quantities of both goods compared to another bundle, it should be preferred. Both utility functions satisfy this assumption as well.
The violations of these assumptions would affect the shape and properties of the indifference curves. For example, if completeness is violated, there may be some bundles that cannot be compared or ranked, resulting in incomplete indifference curves.
If transitivity is violated, there may be cycles of preferences, leading to inconsistent indifference curves. If monotonicity is violated, the indifference curves may not have a consistent upward slope. However, in the case of the given utility functions, all assumptions are satisfied, allowing for well-defined indifference curves.
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Please look at photo. Help please. Algebra 1 problem.
Answer:
set up equations, then explain. use u as
Step-by-step explanation:
Simplify this algebraic expression completely 10y-3(y+5)
Answer:
7y - 15
Step-by-step explanation:
A mattress 39 inches wide×80 inches long× 11 inches high. How many will fit in a 30 yard dumpster at 8 feet wide × 22 feet long × 6 feet high. It holds 30 cubic yards of waste.
Which statement is true about the end behavior of the
graphed function?
• As the x-values go to positive infinity, the function's
values go to negative infinity.
O As the x-values go to zero, the function's values go
to positive infinity.
• As the x-values go to negative infinity, the function's
values are equal to zero.
As the x-values go to positive infinity, the function's
values go to positive infinity.
As the x-values approach negative infinity, the function's values approach positive infinity, which is the right assertion regarding the graph's final behavior. The right answer is D.
What Does Function Mean?A function in mathematics is an expression, rule, or law that determines the relationship between two variables, one of which is independent, and the other of which is dependent (the dependent variable). Functions can be found everywhere in mathematics, and they are essential for building physical connections in the sciences.
According to given information;
In light of the available data, the graph in the question depicts a function. The graph reveals the conclusions listed below:
At x=0, the function's value is 0.
The value of the function is 0 at x=0.
The function has a minimum value at x=2.4.
As the value of x reaches negative infinity, the function tends to positive infinity because it is open upwards.
As the value of x reaches positive infinity, the function tends to positive infinity because it is open upwards.
From the above conclusions, it can be said that "as the x-values go to negative infinity, the function's values go to positive infinity".
Therefore, option D is correct.
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3x+18y=54
need help with it
3. 2(x − 3)
A) 2
B) −4
C) 2x − 6
D) 2x − 4 4)
Answer:
C
Step-by-step explanation:
multiply by 2 to be 2x-6
Answer:
x=8//
Step-by-step explanation:
2(x- 3)
or,2x-6
or,X=6+2
hence,X=8//
luis has a pyramid shaped plant pot. it has a square base with a side length of 36 cm 36 cm36, start text, space, c, m, end text, and the height of the pot is 36 cm 36 cm36, start text, space, c, m, end text. s an upside down square-based pyramid with a base length of thirty-six centimeters and a height of thirty-six centimeters. an upside down square-based pyramid with a base length of thirty-six centimeters and a height of thirty-six centimeters. luis wants to fill the pot with soil so that the soil takes up 75 % 75u, percent of the pot's volume. how far up the pot will the soil reach? round to the nearest tenth.
The soil will reach about 27 cm up the pot when it fills 75% of the pot's volume.
To determine how far up the pot the soil will reach, we need to first find the volume of the pot, then find 75% of that volume, and finally calculate the height of soil in the pot.
Step 1: Calculate the volume of the pot
The volume of a pyramid can be calculated using the formula V = (1/3) * B * h,
where V is the volume, B is the area of the base, and h is the height.
Since the base is a square with a side length of 36 cm, the area of the base (B) is 36 cm * 36 cm = 1296 cm².
Now, plug the values into the formula:
V = (1/3) * 1296 cm² * 36 cm = 15552 cm³
Step 2: Calculate 75% of the pot's volume
75% of the pot's volume can be calculated as:
Soil volume = 15552 cm³ * 0.75 = 11664 cm³
Step 3: Calculate the height of the soil in the pot
To find the height of the soil, we can use the same formula for the volume of the pyramid, but we will solve for the height\((h_soil)\) this time:
11664 cm³ = (1/3) * 1296 cm² * \(h_soil\)
Solve for h_soil:
\(h_soil\) = (11664 cm³ * 3) / 1296 cm² ≈ 27 cm.
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help will mark brainliest
Answer:
no mistakes
Step-by-step explanation:
There are no mistakes in the derivation of the quadratic formula by completing the square
Step 1
Move c to the right hand side
Step 2 Get x^2 to have a coefficient of 1
Step 3 complete the square by adding ( b/2a) ^2 to each side
Step 4 Write in the completed square form ( x+ b/2x) ^2 = -c/a + ( b/2a) ^2
Step 5 take the square root of each side, remembering the plus and minus
Step 6 subtract (b/2a) from each side
Sean is choosing what size gloves to order from an online store. He estimates that his hand is 20 centimeters long. When he measures with a ruler, however, he finds that his hand is actually 18 centimeters long. What is the percent error for his estimate?
Answer:
10%
Step-by-step explanation:
Sean first thought that his hand was 20 cm so:
20cm
When he measures with a ruler, he gets 18 cm so:
18cm
The equation is really simple, and you basically do:
20/20 - 18/20 = 2/20 = 1/10 = 10%
The equation is:
1- x/y
x equals the new number
y equals the original number
On a coordinate plane, a v-shaped line crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and the x-axis at (2, 0). What is the domain of the function on the graph? all real numbers all real numbers greater than or equal to –2 all real numbers greater than or equal to –5 all real numbers greater than or equal to 0
Answer:
Domain of the given function is all real numbers i.e. R.
Step-by-step explanation:
It is given that the given graph is a V shaped graph.
It is crossing x - axis at \((-2,0)\)
then y-axis at \((0,-2)\) and
then again x - axis at \((2,0)\).
If we try to plot the graph, the graph will be like it comes down from the negative x axis side and then intersect x axis at \((-2,0)\), then intersects y axis at \((0,-2)\) and then rises towards the right side (i.e. positive x axis) intersecting the positive x axis at \((2,0)\).
Please find attached graph for the same.
This graph denotes the following function:
\(y=f(x)=|x|-2\)
Domain of a function \(y =f(x)\) is the values of \(x\) that can be provided to the function.
Here function is a modulus function and from graph we can easily infer that it can have any Real Number, R as its input.
Modulus function has R as its domain.
So, the answer is:
Domain of given function is all Real Numbers, R
Answer:
A on edg. all real numbers
Step-by-step explanation:
a certain sum of money doubles itself in 10 years in how many years will it triple itself
7. The quality control division of Rothschild's Blueberry Farm randomly inspects 100 of the containers in the truck being
sent to Stop and Shop. Identify the population and sample given in this scenario.
The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.
Population: The containers of blueberries that are being sent to Stop and Shop.
Sample: The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.
Therefore, the 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.
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Open Ended Alexandra is working on a float for a parade She is making a sphere out of paper mache She knows the circumference of a cross section through the center of a sphere. How can Alexandra find the radius of the sphere?
Answer:
r=C2
Step-by-step explanation:
C=2r is the equation to find circumference
She needs to work backwards in this case, so:
r=C2
r=The circumference she knows x 2 x 3.14(or 3.14159265359)
-----------------------------------------------------------------------------------------------------------------
I would recommend writing/typing all of this(Especially if you need to show you work)!I hope this helped!
find the measure of the indicated angle
Answer:
Angle A is also the measurement of 48 degrees because the dashes on the triangle lines indicate that they are the same.
Step-by-step explanation:
Suppose you send about 8 text messages a day, and your older sister sends more text messages than you do. Together, you send a total of about 21 messages per day. About how many text messages does she send a day? Write an equation that contains the unknown value, x, and solve for the unknown value.
PLS HURRY THIS IS A PROJECT
Answer:
21 - 8 = x
21 - 8 = 13
Step-by-step explanation:
because you send a total of 21, and you send 8, just do 21 - 8 and thats how many text messages she sends
Solve the given differential equation:
xy''+y'=0
usually if it was the form (x^2)y''+xy'+5y=0, you could then assume (r^2)+(1-1)r+5=0
how do i start/solve this?
The solution to the given differential equation is \(y = a_0x^{[0]} + a_1x^{[1]} + a_2x^{[2]}\), where a_0, a_1, and a_2 are constants.
How to solve the differential equationTo fathom the given differential equation, xy'' + y' = 0, we will begin by expecting a control arrangement of the frame y = ∑(n=0 to ∞) a_nx^n, where a_n speaks to the coefficients to be decided.
Separating y with regard to x, we get:
\(y' = ∑(n=0 to ∞) a_n(nx^[(n-1))] = ∑(n=0 to ∞) na_nx^[(n-1)]\)
Separating y' with regard to x, we get:
\(y'' = ∑(n=0 to ∞) n(n-1)a_nx^[(n-2)]\)
Presently, we substitute these expressions for y and its subsidiaries into the differential condition:
\(x(∑(n=0 to ∞) n(n-1)a_nx^[(n-2))] + (∑(n=0 to ∞) na_nx^[(n-1))] =\)
After improving terms, we have:
\(∑(n=0 to ∞) n(n-1)a_nx^[(n-1)] + ∑(n=0 to ∞) na_nx^[n] =\)
Another, we compare the coefficients of like powers of x to zero, coming about in a boundless arrangement of conditions:
For n = 0: + a_0 = (condition 1)
For n = 1: + a_1 = (condition 2)
For n ≥ 2: n(n-1)a_n + na_n = (condition 3)
Disentangling condition 3, we have:
\(n^[2a]_n - n(a_n) =\)
n(n-1)a_n - na_n =
n(n-1 - 1)a_n =
(n(n-2)a_n) =
From equation 1, a_0 = 0, and from equation 2, a_1 = 0.
For n ≥ 2, we have two conceivable outcomes:
n(n-2) = 0, which gives n = or n = 2.
a_n = (minor arrangement)
So, the solution to the given differential equation is \(y = a_0x^{[0]} + a_1x^{[1]} + a_2x^{[2]}\), where a_0, a_1, and a_2 are constants.
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What is the increasing and decreasing?!?!?!?!?!?!?!??!?!?!?!?!?!
Answer:
Function decreasing: where x is (-4; 0) and (2; 4)
Function increasing: where x is (0; 2)
Step-by-step explanation:
Decreasing is the part in graph where function goes down. Increasing is the part where function goes up.
if a feather is dropped from the top of a bridge 75 feet above a river, how long does it take the feather to reach the water? your answer is seconds.
The answer can be solved by using the kinematic equation, S= ut+at²/2. Here the time taken by the feather to fall from 75 feet will be 2.16 s.
Here a feather is dropped from a height of 75 ft. All other units are in SI system. So we have to convert the height to meters.
75 ft = 75/ 3.281 = 22.86 m.
We are neglecting the frictional force, or any other force acting on the feather. If the feather is under free fall, we can use the kinematic equation,
S = ut + at²/2
S is the displacement, here the height = 22.86 m
u is the initial velocity, which is 0
t is the time
a is acceleration, here a= g, acceleration due to gravity = 9.8 m/s².
S = 0×t + 9.8t²/2
22.86 = 4.9t²
t² = 22.86/4.9
= 4.665
t = √4.665 = 2.159 s = 2.16 s
So the time taken for the feather to reach water will be 2.16 s.
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Evaluate (35 = x)
2 when x = 7
O A. 3
O B. 7
O c. 5
O D. 26
I will give brainiest points
Answer:
the answer : a
equation : 35 = x
35 = 7
35/7 = 5
5-2 = 3
Hey there!
(35 ÷ x) - 2
= (35 ÷ 7) - 2
= (5) - 2
= 5 - 2
= 3
Therefore, your answer is: Option A. 3
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
please help!!!!!!!!!!!!!!!!
Answer:
the answer is simple you just p times a
and d
Step-by-step explanation:
:]
Answer:
hope this help you
Step-by-step explanation:
p times x and d
find the area of the region between y=x1/2 and y=x1/3 for 0≤x≤1.
We have to find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1.
To find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1, we have to integrate x^(1/2) and x^(1/3) with respect to x. That is, Area = ∫0¹ [x^(1/2) - x^(1/3)] dx= [2/3 x^(3/2) - 3/4 x^(4/3)] from 0 to 1= [2/3 (1)^(3/2) - 3/4 (1)^(4/3)] - [2/3 (0)^(3/2) - 3/4 (0)^(4/3)]= 0.2857 square units
Therefore, the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1 is 0.2857 square units. Note: The question but the answer has been provided in the format requested.
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Write your answer as a whole number and remainder.
19 + 7 =
R
solve with quadratic formula 8x^2-10=x^2-7x+3
Answer:
Step-by-step explanation:
points
The following frequency table summarizes yesterday's orders at Sizzlin' Skillets.
Type of stir fry Number of orders
Vegetable 333
Chicken 666
Pork 222
Beef 222
Shrimp 555
Based on this data, what is a reasonable estimate of the probability that the next type of stir fry ordered is shrimp?
Choose the best answer.
Choose 1 answer:
Choose 1 answer:
The probability that the next type of stir fry ordered is shrimp is 0.28.
Given that, the frequency table provided summarizes yesterday's orders at Sizzlin' Skillets.
What is a frequency table?A frequency distribution table displays the frequency of each data set in an organized way. It helps us to find patterns in the data and also enables us to analyze the data using measures of central tendency and variance. The first step that a mathematician does with the collected data is to organize it in the form of a frequency distribution table. All the calculations and statistical tests and analyses come later.
The given frequency table is
Type of stir fry Number of orders
Vegetable 333
Chicken 666
Pork 222
Beef 222
Shrimp 555
As we know, probability of an event = Number of favourable outcomes / Total number of outcomes
Here, the number of favourable outcomes = 555
The total number of outcomes = 333+666+222+222+555 = 1998
So, the probability of getting shrimp = 555/1998
=0.277≈0.28
Therefore, the probability that the next type of stir fry ordered is shrimp is 0.28.
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Need help on this ASAP I’m having trouble solving :(
Answer:
B
Step-by-step explanation: