Which two recipes will taste the same, and which one will taste different? Explain or show your reasoning.
Answers
The way to know if two recipes will taste the same or not is by checking if the ratio or cups of orange juice to cups of pinneaple juice is the same. To calculate this ratio, we simply divide the number of cups of orange juice by the number of cups of pinneapple juice. If we get the same ratio for different recipes, they taste the same, but if the ratio is different, then the taste is also different. Now, we calculate the ratio for each recipe
Recipe 1: 4 orange juice cups, 6 pinneapple juice cups. Ratio 4/6.
Recipe 2: 6 orange juice cups, 9 pinneapple juice cups. Ratio 6/9.
Recipe 3: 9 orange juice cups, 12 pinneapple juice cups. Ratio 9/12.
Note that for recipe 1:
\(\frac{4}{6}=\frac{2\cdot2}{2\cdot3}=\frac{2}{3}\)Also, for recipe 2:
\(\frac{6}{9}=\frac{2\cdot3}{3\cdot3}=\frac{2}{3}\)Finally, for recipe 3:
\(\frac{9}{12}=\frac{3\cdot3}{3\cdot4}=\frac{3}{4}\)So, since the ratio for recipe 1 is the same as the ratio of recipe 2, then their taste is the same. Recipe 3 has a different taste from recipes 1 and 2.
Related Questions
22.
Round 203.497 to the nearest whole number
Answers
Answer:
≈ \(\sf 203\)
Can anyone solve this correctly?
Answers
Answer:
30 cm²
Step-by-step explanation:
The shaded area is the difference between the area of the rectangle and the area of the triangle.
The area of the rectangle is ...
A = LW = (12 cm)(4 cm) = 48 cm²
The area of the triangle is ...
A = 1/2bh = 1/2(9 cm)(4 cm) = 18 cm²
__
The shaded area is the difference ...
rectangle area - triangle area = 48 cm² -18 cm² = 30 cm²
The area of the shaded region is 30 square centimeters.
Answer:
ANSWER30cm²Step-by-step explanation:
A(rectangle) - A(triangle)
L×W - ½×B×H
12×4 - ½×(9)×(4)
48 - 2×(9)
48 - 18
= 30cm²
Someone knows the answer
Answers
Answer:
11/6
Step-by-step explanation:
when run is from 3 to 6 on the x-axis
raises from about 3 to 9 on the y-axis so is about
9-3/6-3 = 6/3=2
the closest fraction to 2 is 11/6
suppose ax=b has a solution. explain why the solution is unique precisely when ax=0 has only the trivial solution.
Answers
Translation of the Ax=0 solution set yields the Ax-b solution set since Ax-b is consistent. The Ax = b solution set is therefore a single vector if and only if the Ax = 0 solution set is a single vector, which occurs if and only if Ax 0 has only the trivial solution.
what is solution ?Finding the solution to an equation is like finding the solution to a puzzle. A mathematical equation proves the equality of two algebraic expressions. Determine the values of the variables that make the equation a true statement in order to solve an equation. An equation's solution is any value that causes the equation to be true.
given
Let's suppose that there is a solution to the equation ax = b.
Now, we want to demonstrate that the trivial solution exists for the equation ax = b when ax = 0.
Ax = 0 is homogeneous.
In the event that this equation was true for b, we define
To be a set of vectors with the form ax = b
w = m + gh
The subscript "h"
A solution to ax = 0 is gh.
Ax=b is in the form of w= m+gh based on the information we know had.
with
m = ax=solution b's
Soulution of gh = ax=0
Only a simple solution, ax = 0, exists.
gh = 0
where gh = 0
The relationship between ax=b and w=m
Ax = b thus has no alternative solutions.
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the taylor series for a function f about x=1 is given by
Answers
The Taylor series for a function f about x=1 is an infinite sum that represents the function using its derivatives at x=1. It starts with the value of the function at x=1 and includes terms involving higher derivatives multiplied by powers of (x-1) divided by factorials. It allows us to approximate the function near x=1 using a polynomial.
1. The first term, f(1), represents the value of the function at x=1.
2. The subsequent terms involve the derivatives of the function at x=1. The second term, f'(1)(x-1), is the first derivative of f at x=1 multiplied by (x-1).
3. Each subsequent term involves higher derivatives of f at x=1, with each derivative being multiplied by (x-1) raised to a power and divided by the corresponding factorial.
The Taylor series is a way to represent a function as an infinite sum of terms derived from its derivatives at a specific point. In this case, the Taylor series for function f about x=1 is given by f(x) = f(1) + f'(1)(x-1) + f''(1)(x-1)^2/2! + f'''(1)(x-1)^3/3! + ...
Each term involves a derivative of f evaluated at x=1, multiplied by (x-1) raised to a power and divided by the corresponding factorial. By including more terms in the series, we can approximate the function better near x=1 using a polynomial.
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If f(x, y) = xy, find the gradient vector ∇f(4, 7) and use it to find the tangent line to the level curve f(x, y) = 28 at the point (4, 7). a) gradient vector b) tangent line equation c)Sketch the level curve, the tangent line, and the gradient vector.
Answers
To find the gradient vector ∇f(4, 7), we need to compute the partial derivatives of f(x, y) = xy with respect to x and y.
Given:
f(x, y) = xy
Partial derivative with respect to x (keeping y constant):
∂f/∂x = y
Partial derivative with respect to y (keeping x constant):
∂f/∂y = x
So, the gradient vector ∇f(4, 7) is (∂f/∂x, ∂f/∂y) evaluated at (4, 7):
∇f(4, 7) = (7, 4)
The equation of the tangent line to the level curve f(x, y) = 28 at the point (4, 7) can be written as:
z - f(4, 7) = ∇f(4, 7) · (x - 4, y - 7)
Substituting the values:
z - 28 = (7, 4) · (x - 4, y - 7)
Expanding the dot product:
z - 28 = 7(x - 4) + 4(y - 7)
z - 28 = 7x - 28 + 4y - 28
z = 7x + 4y - 56
Therefore, the equation of the tangent line to the level curve f(x, y) = 28 at the point (4, 7) is z = 7x + 4y - 56.
To sketch the level curve, the tangent line, and the gradient vector, you can plot the points on a graph with x and y coordinates and represent the tangent line as a straight line passing through the point (4, 7) with a slope of 7/4. The gradient vector (7, 4) can be represented as an arrow starting from the point (4, 7) in the direction of the vector.
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Janet attends state university and lives in an on campus dorm suite with 5 friends. They share cost of the monthly upgraded cable bill for their suite. Below is a listing of the bills for their freshman year. 9. Round the following value
Σ
619
X₁
to the nearest dollar.
Interpret the answer in the context of the problem.
Answers
Answer:
Step-by-step explanation: Step 1
1 of 2
step 1.2659 ;[26 Discovery Group
October 20
Last
Trade Time
Chg
Open
52-week High
52-week Low
Sales in 100s
High
Low
$38.50
4:00 P.M. ET
$1.56
$37.22
$76.19
$22.78
19,700
$40.10
$36.77
\begin{matrix} \text{Discovery Group} & \text{}\\ \text{October 20} & \text{}\\ \text{Last} & \text{\$42.00}\\ \text{Trade Time} & \text{4:00 P.M. ET}\\ \text{Chg} & \text{\$1.50}\\ \text{Open} & \text{\$42.50}\\ \text{52-week High} & \text{\$76.19}\\ \text{52-week Low} & \text{\$22.78}\\ \text{Sales in 100s} & \text{23,600}\\ \text{High} & \text{\$42.50}\\ \text{Low} & \text{\$42.00}\\ \end{matrix}
Discovery Group
October 20
Last
Trade Time
Chg
Open
52-week High
52-week Low
Sales in 100s
High
Low
$42.00
4:00 P.M. ET
$1.50
$42.50
$76.19
$22.78
23,600
$42.50
$42.00
I dont understand what this i keep getting it wrong i need help.
Answers
Find the surface area of the square pyramid (above) using its net (below)
Answers
Answer:
please where is the above square pyramid
Step-by-step explanation:
please I wish I could help you but your question is in complete
Work out the size of angle 0.
Give reasons for your answer.
Answers
Answer:
θ = 56°
Step-by-step explanation:
As OA and OB are both radii, triangle AOB is an isosceles triangle:
⇒ m∠ABO = m∠OAB = 48°
Interior angles of a triangle sum to 180°:
⇒ m∠ABO + m∠OAB + m∠AOB = 180°
⇒ 48° + 48° + m∠AOB = 180°
⇒ m∠AOB = 180° - 48° - 48°
⇒ m∠AOB = 84°
Angles on a straight line sum to 180°:
⇒ m∠AOB + m∠DOB = 180°
⇒ 84° + m∠DOB = 180°
⇒ m∠DOB = 180° - 84°
⇒ m∠DOB = 96°
The tangent of a circle is always perpendicular to the radius.
Therefore, tangent BC is perpendicular to radius OB, and tangent DE is perpendicular to radius OD, so:
m∠OBC = 90°m∠ODE = 90°OBCD is a quadrilateral.
The interior angles of a quadrilateral sum to 360°:
⇒ m∠OBC + m∠BCD + m∠CDO + m∠DOB = 360°
⇒ 90° + θ + 28° + 90° + 96° = 360°
⇒ θ + 304° = 360°
⇒ θ = 360° - 304°
⇒ θ = 56°
bicycle rental company charges a $5 flat fee plus $1.20 per hour. Select the expression that represents renting a bicycle for h hours. A. 5h + 120h B. (5 + 1.20)h C. 5 + 1.20h D. 5h + 1.20
Answers
Answer:
a
Step-by-step explanation:
Need help please
Which of the following systems of inequalities matches the word problem? You are on the planning committee for the prom You have an 80 budget for food You decide to cater the prom with Little Cesar's $5 pizzas and McDonald's McChicken's, which cost 2 each. Based on a survey given to students, you will need at least 8 Little Cesar's pizzas to feed everyone that wants pizza Let x represent the number of pizzas bought and y represent the number of McChicken's bought
Answers
The system of inequalities that matches the given word problem is:
5x + 2y <= 80
x >= 8
What is system of inequalities?A system of inequalities is a set of two or more inequalities in one or more variables. Systems of inequalities are used when a problem requires a range of solutions, and there is more than one constraint on those solutions.
Equation:Let's break down the problem and identify the key information:
The budget for food is 80 dollars
Little Cesar's pizzas cost 5 dollars each
McDonald's McChicken's cost 2 dollars each
At least 8 Little Cesar's pizzas are needed to feed everyone that wants pizza
Let x represent the number of pizzas bought and y represent the number of McChicken's bought. The total cost of pizzas and McChicken's should be less than or equal to 80 dollars, which gives us the first inequality:
5x + 2y <= 80
Additionally, we know that at least 8 pizzas should be bought, which gives us the second inequality:
x >= 8
Therefore, the system of inequalities that matches the word problem is:
5x + 2y <= 80
x >= 8
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help please? thank you!!!
Omari drives a car that gets 18 miles per gallon of gasoline. The car’s gasoline tank holds 15 gallons. The distance Omari drives before refueling is a function of the number of gallons of gasoline in the tank. Identify a reasonable domain for this situation.
Answers
A survey asked recently retired people the number of people, X, they met through work during their working lives that they considered close friends. The table below is a probability distribution table representing the data collected. Find the mean and the standard deviation of the probability distribution using Excel. Round the mean and standard deviation to three decimal places.
Answers
The mean and standard deviation of the probability distribution using Excel. Remember to round the values to three decimal places as specified.
To find the mean and standard deviation of the probability distribution using Excel, you can follow these steps:
1. Enter the given data into an Excel spreadsheet. In one column, list the number of people, X, that retired individuals considered close friends, and in the next column, list the corresponding probabilities.
2. In a new cell, use the formula "=SUMPRODUCT(A2:A6*B2:B6)" to find the mean. This formula multiplies each value of X by its corresponding probability, and then sums the results.
3. Round the mean to three decimal places using the "ROUND" function. For example, if the mean is in cell C2, the formula would be "=ROUND(C2, 3)".
4. In another new cell, use the formula "=SQRT(SUMPRODUCT((A2:A6-C2)^2*B2:B6))" to find the standard deviation. This formula calculates the sum of the squared differences between each value of X and the mean, weighted by their corresponding probabilities, and then takes the square root of the result.
5. Round the standard deviation to three decimal places using the "ROUND" function. For example, if the standard deviation is in cell D2, the formula would be "=ROUND(D2, 3)".
By following these steps, you can find the mean and standard deviation of the probability distribution using Excel. Remember to round the values to three decimal places as specified.
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write 2 binomials whose product includes the term 12.
Answers
The two binomials are:
x² + 7x + 12
6x² - 13x + 6
We have,
One possible set of binomials whose product includes the term 12 is:
(x + 4)(x + 3)
Expanding this product, we get:
x^2 + 7x + 12
And,
Another set of binomials whose product includes the term 12 is:
(2x - 3)(3x - 2)
Expanding this product, we get:
6x^2 - 13x + 6
Thus,
The two binomials are:
x² + 7x + 12
6x² - 13x + 6
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let f(x)=-2x-7 and g(x)=-4x+3 find (f°g)(-5)
Answers
Answer:
-53
Step-by-step explanation:
f°g = f(g(x)) Remember this because this notation is less confusing for you.
Step 1. Plug g(x) in all values of x in the function f(x).
f(g(x)) = -2(-4x+3) -7
Step 2. Distribute the -2
-2(-4x+3) = 8x -6
f(g(x)) = 8x-6-7
Step 3. Simplify by subtracting -6 - 7
f(g(x)) = 8x-13
Step 4. Plug in -5 for x
8(-5) - 13 = -40 - 13 = -53
the perimeter of a rectangle is 52 cm. The length of the rectangle can be represented by (x.+5) and its width can be represented by (3x-7) what are the dimensions of this rectangle?
Answers
Answer:
Length=11
Width=11
Step-by-step explanation:
P (perimeter) is 52 so
2(x+5)+2(3x-7)=52
then
2x+10+6x-14=52
8x-4=52
8x=48
x=6
so
Writing to give opinions about the future roles of science and technology
Answers
In considering the future roles of science and technology, it is evident that they will continue to play significant and transformative roles in various aspects of our lives.
From healthcare advancements to environmental solutions and innovative communication tools, science and technology will shape the future in numerous ways. However, careful consideration and ethical frameworks must be established to ensure responsible use and mitigate potential risks associated with their rapid development. The future roles of science and technology are bound to be immense and far-reaching. Advancements in fields such as healthcare hold great promise for improving medical treatments, disease prevention, and overall well-being.
From personalized medicine to cutting-edge therapies, science and technology will drive innovative breakthroughs that will revolutionize healthcare systems worldwide. Similarly, addressing pressing global challenges, such as climate change and environmental degradation, will heavily rely on scientific advancements and technological solutions. Sustainable energy sources, efficient resource management, and eco-friendly practices will be vital to creating a more sustainable future.
However, as science and technology continue to advance, it is crucial to approach their implementation with caution. Ethical considerations and responsible governance are necessary to navigate potential risks and unintended consequences. Issues such as data privacy, artificial intelligence ethics, and the digital divide need to be addressed to ensure equitable access and fair distribution of benefits. Balancing innovation with societal well-being, human rights, and environmental sustainability should be a central focus when shaping the future roles of science and technology.
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A larger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smaller number. y = 4x+2, y = 2r+8 What is the value of the smaller number in the mathematical problem?
Answers
Answer:
3
Step-by-step explanation:
I got it wrong so then it told me what the correct answer was:)
When displaying quantitative data, what is an ogive used to plot? Multiple Choice Frequency or relative frequency of each class against the midpoint of the corresponding class Cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class Frequency or relative frequency of each class against the midpoint of the corresponding class and cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class None of the above
Answers
An ogive is used to plot cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class when displaying quantitative data. Option B.
An ogive is a graph that represents a cumulative distribution function (CDF) of a frequency distribution. It shows the cumulative relative frequency or cumulative frequency of each class plotted against the upper limit of the corresponding class. In other words, an ogive can be used to represent data through graphs by plotting the upper limit of each class interval on the x-axis and the cumulative frequency or cumulative relative frequency on the y-axis.
An ogive is used to display the distribution of quantitative data, such as weight, height, or time. It is also useful when analyzing data that is not easily represented by a histogram or a frequency polygon, and when we want to determine the percentile or median of a given set of data. Based on the information given above, option B: "Cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class" is the correct answer.
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Find the vertex of the function given below
\(y = {x}^{2} - 6x + 1\)
Answers
Answer:
3,-10...........................
Answer:
vertex = (3, - 8 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
\(x_{vertex}\) = - \(\frac{b}{2a}\)
y = x² - 6x + 1 ← is in standard form
with a = 1 and b = - 6 , thus
\(x_{vertex}\) = - \(\frac{-6}{2}\) = 3
Substitute x = 3 into the function for y
y = 3² - 6(3) + 1 = 9 - 18 + 1 = - 8
vertex = (3, - 8 )
This month. Cindy had a previous credit card balance of $150. bought a sweater for S125.50 treated herself
to 5 more for $67.62. She had made an early payment of $50.
How much will she owe on her due date?
Answers
Solve
Help mee please
Answers
1/2 Square equals to 1/4 equals to x over 5 2 Square
therefore 1/4 equals to x over 5 2 square
Equals to 1/4 equals to x over 5 * 4 you know that 2 square equals to 4
So now I'm going to solve for 1/4 equals to x of over 5 * 4 equals to 20
1/4 equals to x over 20
1/4 equals to 20 cross multiply
= 1\4 = x/20
= 4 * x = 20*1
4x = 20
divide both side by the coefficient of x
4x/4 = 20/4
x =5
A recipe needs tablespoon salt.
This same recipe is made 5 times.
How much total is needed?
Answers
Multiply 1 x 5
Then you will get 5 and that is your answer.
Hope I helped
a rectangle is constructed with its base on the diameter of a semicircle with radius 12 and with its two other vertices on the semicircle. what are the dimensions of the rectangle with maximum area?
Answers
As describes in geometry the area of the rectangle = 288cm
what is geometry ?
The area of mathematics known as geometry is concerned with the characteristics of the surrounding space as well as the shapes of individual objects and their spatial relationships.
solution
radius of semicircle = 12
diameter will be = 24 and this is the length of rectangle s given in the question
area of the rectangle = l*b
= 24*12
area of the rectangle = 288cm
Hence the area of the rectangle = 288cm
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Which shape must have opposite sides that are parallel and congruent, and diagonals that are perpendicular bisectors of each other? A.Parallelogram B.Rectangle C.Rhombus D.Trapezoid
Answers
Answer:
C. Rhombus.
Step-by-step explanation:
A rhombus is quadrilateral who each pair of opposite side are parallel and congruent and whose each diagonal is perpendicular to the other diagonal, which bisectors it.
In the cases of rectangle, parallelogram and trapezoid, diagonals are not perpendicular to each other. In the case of the trapezoid, only one pair of sides are parallel.
In consequence, right answer is C.
Round the following numbers to the nearest 10
a) 83
b) 127
c) 245
Answers
Answer:
a)80
b)250
c)130
Step-by-step explanation:
Answer:
a)
Step-by-step explanation:
83 = 3 is less than 5
so,83-3=80
b) l27 = 7 is more than 5
so 127 + 3 =30
c) 245 = 5 is equal to 5
so 245+5=250
A 100-gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The
function f(x)=100/x-5 represents the remaining time in minutes needed to fill the tank. How is the graph of the parent function f(x)=1/x
transformed to create the graph of the function f(x)=100/x-5?
Answers
Answer:
The parent graph has been dilated by a scale factor of 100 and has been moved to the right by 5 units
Step-by-step explanation:
The change made to f(x) = 1/x to f(x) = 100/x is a dilation by a scale factor of 100(the function has been multiplied by 100) .
The transformation of function f(x) = 100/x to f(x) = 100/x-5 is moving o the right 5 units (whenever a constant, let's call it "c", is being subtracted from the x when graphing, it means the graph has moved "c" units to the right, and vice versa--if "c" was added to x, then the graph would be moved "c" units to the left.).
TL;DR: f(x-c) means c units to the right, f(x+c) means c units to the left. f(x)*c means a dilation of c units.
hcf and lcm of 120 and 180, shown your work
Answers
The HCM and LCM of 120 and 180 are 360.
What is HCF and LCM?The Highest Common Factor (HCF) of two or more given numbers is the largest number that divides each of the given numbers without leaving any remainder. The Least Common Multiple (LCM) of two or more numbers is the smallest of the common multiples of those numbers.
Given are two numbers as -
120 and 180
We can write 120 and 180 as -
120 = 2 x 2 x 2 x 3 x 5
180 = 2 x 2 x 3 x 3 x 5
HCF of 120 and 180 will be equal to = 2 x 2 x 3 x 5 = 60
Now, we can find LCM using the formula -
LCM(a, b) = (a x b)/HCF(a, b)
LCM(a, b) = (120 x 180)/60
LCM(a, b) = 2 x 180 = 360
Therefore, the HCM and LCM of 120 and 180 are 360.
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What is the derivative of the function
f(x) = cos(x²-x)?
Select one:
a. 3(2x-1) cos(x2-x) sin(x2-x)
b. -3(2x-1) cos² (x² - x) sin(x² - x)
c. -3(2x-1) cos(x²-x)
d. -3cos² (x²-x)
Answers
The derivative of f(x) = cos(x² - x) is \(3(2x - 1)cos(x^{2} - x)sin(x^{2} - x).\)
To find the derivative of the function f(x) = cos(x² - x), we can use the chain rule.
The chain rule states that if we have a composite function, such as cos(g(x)), the derivative of this composite function is given by the derivative of the outer function multiplied by the derivative of the inner function.
In this case, the outer function is cos(u), where u = x² - x, and the inner function is u = x² - x.
The derivative of the outer function cos(u) is -sin(u).
To find the derivative of the inner function u = x² - x, we apply the power rule and the constant rule. The power rule states that the derivative of x^n, where n is a constant, is nx^(n-1), and the constant rule states that the derivative of a constant times a function is equal to the constant times the derivative of the function.
Applying the power rule and the constant rule, we find that the derivative of u = x² - x is du/dx = 2x - 1.
Now, using the chain rule, the derivative of f(x) = cos(x² - x) is given by:
df/dx = \(-sin(x^{2} - x) * (2x - 1)\)
Simplifying, we have:
df/dx = -\(2xsin(xx^{2} - x) + sin(x^{2} - x)\)
Therefore, the correct answer is option a. 3(2x-1)cos(x²-x)sin(x²-x).
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