Answer:
C.
Step-by-step explanation:
10 cups divided by 4 containers = 2.5 or 5/2 cups per 1 container
The graph is a function. + O True O False
the provided graph is not a function .
s
What is the equivdent
equation to: –6=3y
Answer:
-2 is the answer
Step-by-step explanation:
mark as me brainlist
Pete's Pottery observes the heights of the vases in inventory. The results are represented by the box plot shown below.
Select all of the true statements.
The data recorded must have been for 24 vases.
The box plot also gives data on the heights of mugs in inventory.
The heights are measured in centimeters.
The box plot gives data on the heights of vases in inventory.
There must be between 6 and 12 vases in inventory.
The heights are measured in inches.
Answer:
The box plot gives data on the heights of vases in inventory.The heights are measured in inches.Step-by-step explanation:
Given the question and the image, the following are the solution steps to answer the question.
STEP 1: Define box plot.
In descriptive statistics, a box plot or boxplot is a method for graphically demonstrating the locality, spread, and skewness groups of numerical data through their quartiles.
STEP 2: Choose the correct statement
The box plot shows the minimum height, maximum height, first and third quartiles, and the median.
Therefore,
The box plot does not show the number of vases recorded
The box plot does not show the heights of mugs, just vases.
The height is measured in inches, not centimeters.
in linear programming, a solution that does not simultaneously satisfy all constraints is called an part 2 a. intermediate solution. b. impossible solution. c. infeasible solution. d. illogical solution.
A solution that does not simultaneously satisfy all constraints is called an infeasible solution.
Option (C) is correct.
What is linear programming?
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.
In some cases, there is no feasible solution area, i.e., there are no points that satisfy all constraints of the problem. An infeasible LP problem with two decision variables can be identified through its graph. For example, let us consider the following linear programming problem.
Minimize z = 200x1 + 300x2
subject to
2x1 + 3x2 ≥ 1200
x1 + x2 ≤ 400
2x1 + 1.5x2 ≥ 900
x1, x2 ≥ 0
The region located on the right of PQR includes all solutions, which satisfy the first and the third constraints. The region located on the left of ST includes all solutions, which satisfy the second constraint. Thus, the problem is infeasible because there is no set of points that satisfies all three constraints.
Hence, a solution that does not simultaneously satisfy all constraints is called an infeasible solution.
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On Monday, the high temperature in Frostbite, Alaska, was -5 F. On Tuesday, it rose 14 F. On Wednesday, it dropped 20 F. What was the temperature on Wednesday?
Answer:
-11 F
Step-by-step explanation:
So we need to just add or decrease the temperature.
-5 + 14
9 - 20
-11
Answer:
-5 + 14 = 9
9 - 20 = -11
the answer is -11°f
Find the total balance of each investment account earning simple annual interest.
A: $624 at 5% for 3 years
B: $4,120 at 7% for 18 months
C: $900 at 3.1% for 6 months
D: $275 at 4.8% for 8 years
You should remember the formula: Interest = P * R * T /100
Apply it in every part.
A) I = 624 * 5 * 3 / 100
I = 9360/100
I = 93.60
So, Total amount = 93.60 + 624 = $717.60
B) I = 4120 * 7 * 3 / 2*100
I = 86520 / 200
I = 432.60
So, Total amount = 432.60 + 4120 = $4552.60
C) I = 900 * 3.1 * 1 / 2 * 100
I = 2790 / 200
I = 13.95
So, Total Amount = 13.95 + 900 = $913.95
D) I = 275 * 4.8 * 8 /100
I = 10560 / 100
I = 105.60
So, Total amount = 105.60 + 275 = $380.60
Hope this helps
Determine which of the following relations are functions. Select three that apply.
{(3, 0), (4, 1), (5, 2), (4, -1)}
{(8, 1), (8, 2), (8, 3), (8,4)}
{(1, 3), (2, 3), (3, 3), (4, 3)}
{(-3, 7), (1, 4), (2, 9), (5, 0);
O {(-2,5), (-1, 2), (0, 1), (1, 2)}
Answer:
{(1, 3), (2, 3), (3, 3), (4, 3)}
{(-3, 7), (1, 4), (2, 9), (5, 0)}
{(-2,5), (-1, 2), (0, 1), (1, 2)}
Step-by-step explanation:
those three have different domains
Find the slope of the tangent line to the graph at the given point. witch of agnesi: (x2 4)y = 8 point: (2, 1)
The slope of the tangent line to the witch of Agnesi graph at the point (2, 1) can be found by taking the derivative of the equation and evaluating it at the given point. The slope is 1/2 .
The equation of the witch of Agnesi curve is given by (x^2 + 4)y = 8. To find the slope of the tangent line at a specific point on the curve, we need to take the derivative of the equation with respect to x.
Differentiating the equation implicitly, we get:
2xy + (x^2 + 4)dy/dx = 0.
To find the slope of the tangent line at a particular point, we substitute the x and y coordinates of that point into the derivative expression. In this case, we substitute x = 2 and y = 1:
2(2)(1) + (2^2 + 4)dy/dx = 0.
Simplifying the equation, we have:
4 + (4 + 4)dy/dx = 0,
8dy/dx = -4,
dy/dx = -4/8,
dy/dx = -1/2.
Therefore, the slope of the tangent line to the witch of Agnesi graph at the point (2, 1) is -1/2, or equivalently, -0.5.
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Solve the system by Substitution.
x- 4y=-7
-x +2y = 3
Intro:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
Step 1:Solve x−4y=−7 for x...
\(x-4y=-7\\x=4y-7\)
Step 2:Substitute 4y−7 for x in −x+2y=3...
\(-x+2y=3\\-(4y-7)+2y=3\\-4y+7+2y=3\\-2y+7=3\\-2y=-4\\y=2\)
Step 3:Substitute 2 for y in x=4y−7...
\(x=4y-7\\x=4(2)-7\\x=8-7\\x=1\)
So the solution of these equations is (1,2).
3x-2
3
= 9
4x-1 what is the answer
Answer:
\(-\frac{22}{91} = x\)
Step-by-step explanation:
To solve the equation \(3x - 23 = 94x - 1\), we'll follow these steps:
Start by simplifying the equation by combining like terms. In this case, we have terms with x on both sides, as well as constants:
\(3x - 23 = 94x - 1\)
To isolate the x terms, we can subtract 3x from both sides of the equation:
\(3x - 3x - 23 = 94x - 3x - 1\)
Simplifying further, we get:
\(-23 = 91x - 1\)
Next, we want to isolate the constant term on one side of the equation. We can do this by adding 1 to both sides:
\(-23 + 1 = 91x - 1 + 1\)
Simplifying further:
\(-22 = 91x\)
Finally, we can solve for x by dividing both sides of the equation by 91:
\(-\frac{22}{91}=\frac{91x}{91}\)
Simplifying further:
\(-\frac{22}{91} = x\)
Therefore, the solution to the equation \(3x - 23 = 94x - 1\) is \(-\frac{22}{91} = x\)
,8. If A= {x:x is a factor of 72}
B= {x:72x+3<2x --3}.
C= {x:x<20} and A, B, Ccu.
Where 11 = {integers), list the
elemen:s of AnBnc.
(WAEC) pls help thx
Answer:
No element is common to all the sets
AnBnc = { }
Step-by-step explanation:
If A= {x: xis a factor of 72}
A = {2, 3, 4, 6, 8, 9, 12, 18, 36, 72}
If B= {x: 72x+3<2x-3).
72x+3 <2x-3
72x - 2x < -3-3
70x < -6
x < -6/70
x < -3/35
x< -0.0857
If
C= {x:x<20}
C = {-∞, 19}
The intersection of the sets AnBnc = {} i.e an empty set
Note that intersection means all the elements common to the three sets
Round 92,542 to the nearest thousand
Answer:
93,000
Step-by-step explanation:
let r={(x,y) : 0≤x≤π, 0≤y≤a}. for what values of a, with 0≤a≤π, is ∫∫rsin(x y) da equal to 1?
This integral does not have a closed-form solution using elementary functions, so we would typically use numerical methods to solve for 'a'. However, it is important to note that 'a' must lie in the interval [0, π] for the given region.
To find the values of 'a' for which the double integral of r*sin(xy) over the region r={(x,y) : 0≤x≤π, 0≤y≤a} equals 1, we need to evaluate the integral and then solve for 'a'.
Step 1: Set up the double integral
∫(from 0 to π) ∫(from 0 to a) sin(xy) dy dx
Step 2: Integrate with respect to 'y'
∫(from 0 to π) [-cos(xy)/x] (from 0 to a) dx
Step 3: Apply the limits for 'y'
∫(from 0 to π) [-cos(a*x)/x + cos(0)/x] dx
Step 4: Simplify the expression
∫(from 0 to π) [-cos(a*x)/x + 1/x] dx
Step 5: Set the integral equal to 1 and solve for 'a'
1 = ∫(from 0 to π) [-cos(a*x)/x + 1/x] dx
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Help with question below
The triangle ∆MNO is similar to the triangle ∆M'N'O' hence, N'O' is equal to 4.5 inches and M'O' is equal to 6 inches
What are similar trianglesSimilar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.
We solve for N'O' and M'O' with the proportion equation as follows:
NO/N'O' = MN/M'N'
3in/N'O' = 2/3
N'O' = (3 × 3in)2 {cross multiplication}
N'O' = 4.5 in
MO/M'O' = MN/M'N'
4in/M'O' = 2/3
M'O' = (3 × 4in)2 {cross multiplication}
M'O' = 6 in
Therefore, the similar triangles ∆MNO and ∆M'N'O' have the value of N'O' equal to 4.5 inches and M'O' is equal to 6 inches
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In a particular rectangular pool, it is possible to swim a mile by swimming the length of the pool 40 times or along the perimeter (the pool's edge) 11 times. There are 5280 feet in a mile. In square feet, what is the area of the region bounded by the edge of the pool?
Answer:
Step-by-step explanation:
use double integrals to find the area inside the curve r = 3 + sin(θ).
The area inside the curve r = 3 + sin(θ) is (5π)/2 square units.
Double integration is an important tool in calculus that allow us to calculate the area of irregular shapes in the Cartesian coordinate system. In particular, they are useful when we are dealing with shapes that are defined in polar coordinates.
To find the area inside this curve, we can use a double integral in polar coordinates. The general form of a double integral over a region R in the xy-plane is given by:
∬R f(x,y) dA
where dA represents the infinitesimal area element, and f(x,y) is the function that we want to integrate over the region R.
In polar coordinates, we can express dA as r dr dθ, where r is the distance from the origin to a point in the region R, and θ is the angle that this point makes with the positive x-axis. Using this expression, we can write the double integral in polar coordinates as:
∬R f(x,y) dA = ∫θ₁θ₂ ∫r₁r₂ f(r,θ) r dr dθ
where r₁ and r₂ are the minimum and maximum values of r over the region R, and θ₁ and θ₂ are the minimum and maximum values of θ.
To find the area inside the curve r = 3 + sin(θ), we can set f(r,θ) = 1, since we are interested in calculating the area and not some other function. The limits of integration can be determined by finding the values of r and θ that define the region enclosed by the curve.
To do this, we first note that the curve r = 3 + sin(θ) represents a cardioid, which is a type of curve that is symmetric about the x-axis. Therefore, we only need to consider the region in the first quadrant, where 0 ≤ θ ≤ π/2.
To find the limits of integration for r, we note that the curve intersects the x-axis when r = 0. Therefore, the minimum value of r is 0. The maximum value of r can be found by setting θ = π/2 and solving for r:
r = 3 + sin(π/2) = 4
Therefore, the limits of integration for r are r₁ = 0 and r₂ = 4.
The limits of integration for θ are simply θ₁ = 0 and θ₂ = π/2, since we are only considering the region in the first quadrant.
Putting it all together, we have:
Area = ∬R 1 dA
= ∫\(0^{\pi /2}\) ∫0⁴ 1 r dr dθ
Evaluating this integral gives us:
Area = π(3² - 2²)/2 = (5π)/2
Therefore, the area inside the curve r = 3 + sin(θ) is (5π)/2 square units.
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Using double integrals, the area inside the curve r = 3 + sin(θ) is 0 units².
For the area inside the curve r = 3 + sin(θ), we can use a double integral in polar coordinates. The area can be expressed as:
A = ∬R r dr dθ
where R represents the region enclosed by the curve.
In this case, the curve r = 3 + sin(θ) represents a cardioid shape. To determine the limits of integration for r and θ, we need to find the bounds where the curve intersects.
To find the bounds for θ, we set the expression inside sin(θ) equal to zero:
3 + sin(θ) = 0
sin(θ) = -3
However, sin(θ) cannot be less than -1 or greater than 1. Therefore, there are no solutions for θ in this case.
Since there are no intersections, the region R is empty, and the area inside the curve r = 3 + sin(θ) is zero.
Hence, the area inside the curve r = 3 + sin(θ) is 0 units².
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Hewp plz it emergency
XD
Answer:
what's this?
Step-by-step explanation:
Answer:
what the question?
Step-by-step explanation:
im sorry because i dont watch a anime
numbers that lies exactly half way between-2,4 and 1, 7
Answer:
(- 0.5, 5.5 )
Step-by-step explanation:
Using the midpoint formula
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )
Here (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (1, 7) , then
midpoint = ( \(\frac{-2+1}{2}\), \(\frac{4+7}{2}\) ) = ( \(\frac{-1}{2}\), \(\frac{11}{2}\) ) = ( - 0.5, 5.5 )
Please help me! thank you
Suppose an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t)=-16t^2+48t+120. Find the average velocity from t=2 to t=4.
Type your answer as a number with no units.
The average velocity from t = 2s to t = 4s would be - 48 ft/s.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.
Average velocity
Average rate of change of velocity with time is called average velocity. Mathematically -
v{avg.} = Δx/Δt .... Eq { 1 }
Δx = x(4) - x(2)
Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}
Δx = - 96
Δt = 4 - 2 = 2
So -
v{avg.} = Δx/Δt = -96/2 = - 48 ft/s
Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.
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Plsss helppp ASAP
Extra 500 point
And brainliest
Answer:
500 pts :DDDD
Step-by-step explanation:
1 ) y = mx + b
hmmm 2 is wrong
2) y = -a\(x^{2}\)+bx+c
I'm unsure about 3 also hmm
3) y = a\(x^{y}\)
Evaluate x²y + y²
x
when x = 5 and y = -2
Answer:
-30
Step-by-step explanation:
x²y + y²x
substitute all the xs for 5s and all the ys for -2s
5²-2 + -2²5
x²y = x² times y
We can solve this equation now, breaking it up.
5² = 25
25 x -2 = -50
-50 + (-2² x 5)
-2² = 4
4x5 = 20
-50 + 20 = -30
Hope this makes sense!
- profparis
Answer:
-30
Step-by-step explanation:
x²y + y²x
Let x = 5 and y = -2
5²(-2) + (-2)²(5)
Using PEMDAS, we evaluate exponents first
(25)(-2) + 4(5)
Now we multiply
-50 +20
Finally we can add and subtract
-30
Mhanifa can you please help? This is due asap!
13. k=3/4 14. a=23
15. p= 5 1/2 16. x=13
17. m=56 18. n=1 1/2
Answer:
13)
9/8 = (k + 6)/6 8(k + 6) = 6*98k + 48 = 548k = 6k = 6/8k = 3/414)
2/10 = 4/(a - 3)a - 3 = 4*5a - 3 = 20a = 2315)
10/(p + 2) = 4/34(p + 2) = 10*34p + 8 = 304p = 22p = 22/4p = 11/216)
4/6 = 8/(x - 1)4(x - 1) = 8*6x - 1 = 12x = 1317)
m/8 = (m + 7)/ 99m = 8(m + 7)9m = 8m + 56m = 5618)
n/(n + 1) = 3/55n = 3(n + 1)5n = 3n + 32n = 3n = 3/2The Munn Sugar Processing Plant is able to process 10 tons of sugar
per month. Assuming that this process stays steady, is this example
linear or exponential?
Answer:
Its Linear
Step-by-step explanation:
Linear!
for a certain basketball player, the probability of shooting a 3-pointer is 0.2; on an average how many attempts will she have to make to score a 3-pointer? what is the expected number of 3-pointers scored in 8 attempts (and the standard deviation
According to the probability, the standard deviation of the number of 3-pointers scored in eight attempts is approximately 1.26.
The expected number of 3-pointers scored in eight attempts can be calculated using the formula:
Expected number of successes = Number of trials x Probability of success
In this case, the number of trials is eight, and the probability of success is 0.2, so the expected number of 3-pointers scored is:
Expected number of 3-pointers = 8 x 0.2 = 1.6
Therefore, we can expect the player to score approximately 1 or 2 3-pointers in eight attempts.
The standard deviation of the binomial distribution can be calculated using the formula:
Standard deviation = √(Number of trials x Probability of success x (1 - Probability of success))
In this case, the number of trials is eight, and the probability of success is 0.2, so the standard deviation is:
Standard deviation = √(8 x 0.2 x (1 - 0.2)) = 1.26
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6.
a rectangular room measuring 5.75m by 6.5 in to be covered by whole square tiles,
Calculate the size of each tile and the number of tiles required.
(3mks)
Answer:
Below.
Step-by-step explanation:
The dimensions are 5.75m * 6.5 m
= 575cm * 650 cm.
Finding the GCF:
575 = 5 * 5 * 23
650 = 5 * 5 * 26
- so t he Greatest Common Factor of these 2 is 25cm.
575 / 25 = 23
650 / 25 = 26.
So we need 23 tiles along the width of the room and the length will have 26 tiles.
Each tile with be 25cm * 25 cm. in size and the number of tiles = 23*26
= 598.
Which of the following correctly describes the domain of the function shown below?
Except than x = 1, all real numbers fall within the function's domain.
Why can't a domain consist entirely of real numbers?Since there are no limitations on what we can substitute for x, the domain of a function, f(x), is all real numbers because any real numbers would make f(x) a defined function. As a result, when this is not the case, the domain of a function, f(x), is not all real numbers.
The rational function r(x) = 2x/(x-1) is defined as follows.
So, we set the denominator to zero and solve for x in order to determine the domain of r(x):
x - 1 = 0
x = 1
Hence, x = 1 is the only value of x that causes the denominator to equal 0. R(x) therefore has a domain of all real numbers other than x = 1.
We can express the domain as follows in interval notation:
(-∞, 1) U (1, ∞)
Except than x = 1, all real numbers fall within the function's domain.
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Question:
Which of the following correctly describes the domain of the function shown below?
r(x) = 2x x-1
A. {x:x0}
B. {x: x = 1}
c. x all .real .numbers}
D. xx1}
witch of the following one step transformations of figure p could Laney have done to draw figure q.
The one step transformations of figure p is reflection over the line x = 1.
option D.
What is the reflection of a figure?A reflection is a mirror image of a shape or figure. An image will reflect through a line, known as the line of reflection.
A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.
So from the given figure P, the figure Q is obtained through the reflection of x axis, particular on x = 1.
When reflecting a figure vertically across x = 1, we essentially flip it over like a mirror reflection across this axis.
By doing so, all points in our original image transform into new points positioned symmetrically to this straight line relative to their previous location - e.g., equidistant but on opposite sides, as shown in figure Q.
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In the ale the original price are reduced by 15%
a. Calculate the ale price of a book that ha an original price of $12
b. Calculate the original price of a jacket that ha a ale price of $38. 25
Answer:b
Step-by-step explanation:
Twelve students competed in a dance contest.
Which expression can be used ti determine the number of possible ways the first, second, and third place ribbons can be rewarded?
A. 3 • 2 • 1
B. 3 • 3 • 3
C. 12 + 11 + 10
D. 12 • 11 • 10
E. 12 • 12 • 12
The expression that shows the number of possible ways that the first, second, and third place ribbons can be awarded is C. 12 + 11 + 10.
How many ways can the ribbons be awarded ?There are twelve students competing in the dance competition which means that each of these twelve people stand a chance to win either the first, second or third place positions.
This means that the number of ways possible for a person to win the first place ribbon is 12 ways as there are 12 students dancing.
After this student is awarded, there will be 11 students left to be awarded the second and third places so there will now be 11 ways.
After the second place is awarded then 10 students remain to be awarded and so there will be 10 ways for the third place to be awarded.
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wind speeds, represented by random variable , in , have a lognormal distribution. in other words, is normal. if , and , what value of (the standard normal rv) is associated with a wind speed of ?
Wind speeds, represented by random variable X, have a lognormal distribution. The corresponding value of the standard normal random variable (Z) is associated with a wind speed of 14.35 is 25.5
Wind speeds represented by random variable X, in miles per hour, have a lognormal distribution. In other words, log(X) is normal.
If \(\mu = 4.8\) and \(\sigma = 0.4\), what value of Z (the standard normal rv) is associated with a wind speed of 15 miles per hour.
The value of Z (the standard normal rv) associated with a wind speed of 15 miles per hour.
The standard score (z) of a random variable X is calculated as follows:
\(z = \frac{(X - \mu)}{\sigma}\)
Given: μ = 4.8, σ = 0.4
Let X be a wind speed 15 mph.
To find the standard normal rv Z associated with a wind speed of 15 miles per hour, we will use the formula for calculating the standard score (z):
\(z = (X - \mu) /\sigma \\z = (15 - 4.8) / 0.4\\z = 25.5\)
Therefore, the value of Z (the standard normal rv) associated with a wind speed of 15 miles per hour is 25.5.
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