Solve the proportion y/25=12/10
Answers
first, you cross multiply
10*y = 25*12
10y = 300
divide both sides by 10
y = 30
Answer:
y=30
Step-by-step explanation:
y/25=12/10
Use cross multiplication
y*10=25*12
10y=300
y=30
Related Questions
4. Consider the ground state of the Harmonic Oscillator with the potential in the k standard form V = x² so the potential well is centered at x = 0. 2 (a) Evaluate the values of (x²) and σ₂ = √
Answers
(a) To evaluate (x^2) for the ground state of the Harmonic Oscillator, we need to integrate x^2 multiplied by the square of the absolute value of the wavefunction ψ0(x).
(b) The expectation value of p^2 for the ground state of the Harmonic Oscillator is simply the eigenvalue corresponding to the momentum operator squared.
(c) By calculating the uncertainties in position (Δx) and momentum (Δp) for the ground state, we can verify that their product satisfies Heisenberg's uncertainty principle, Δx · Δp ≥ ħ/2.
(a) In the ground state of the Harmonic Oscillator, the wavefunction is given by \(\psi_0(x) = \frac{1}{\sqrt{\sigma}}e^{-\frac{x^2}{2\sigma^2}}\), where \(\sigma\) is the standard deviation.
To evaluate \((x^2)\), we need to find the expectation value of \(x^2\) with respect to the wavefunction \(\psi_0(x)\). Using the formula for the expectation value, we have:
\((x^2) = \int_{-\infty}^{\infty} x^2 \left|\psi_0(x)\right|^2 dx\)
Substituting the given wavefunction, we have:
\((x^2) = \int_{-\infty}^{\infty} x^2 \frac{1}{\sqrt{\sigma}}e^{-\frac{x^2}{\sigma^2}} dx\)
Evaluating this integral gives us the value of \((x^2)\) for the ground state of the Harmonic Oscillator.
To evaluate \(\sigma_2\), we can simply take the square root of \((x^2)\) and subtract the expectation value of \(x\) squared, \((x)^2\).
(b) To evaluate \((p^2)\), we need to find the expectation value of \(p^2\) with respect to the wavefunction \(\psi_0(x)\). However, in this case, it is clear that the ground state of the Harmonic Oscillator is an eigenstate of the momentum operator, \(p\). Therefore, the expectation value of \(p^2\) for this state will simply be the eigenvalue corresponding to the momentum operator squared.
(c) The Heisenberg's uncertainty principle states that the product of the uncertainties in position and momentum (\(\Delta x\) and \(\Delta p\)) is bounded by a minimum value: \(\Delta x \cdot \Delta p \geq \frac{\hbar}{2}\).
To show that the uncertainty product satisfies the uncertainty principle, we need to calculate \(\Delta x\) and \(\Delta p\) for the ground state of the Harmonic Oscillator and verify that their product is greater than or equal to \(\frac{\hbar}{2}\).
If the ground state wavefunction \(\psi_0(x)\) is a Gaussian function, then the uncertainties \(\Delta x\) and \(\Delta p\) can be related to the standard deviation \(\sigma\) as follows:
\(\Delta x = \sigma\)
\(\Delta p = \frac{\hbar}{2\sigma}\)
By substituting these values into the uncertainty product inequality, we can verify that it satisfies the Heisenberg's uncertainty principle.
Regarding the statement \((x) = 0\) and \((p) = 0\) for this problem, it seems incorrect. The ground state of the Harmonic Oscillator does not have zero uncertainties in position or momentum. Both \(\Delta x\) and \(\Delta p\) will have non-zero values.
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Find the lines that are tangent and normal to the curve at the given point. y=7 sin (x+y). (-1,0) The line tangent to the curve y = 7 sin (x + y) at (-1,0) is y=[ The line normal to the curve y = 7 sin (x + y) at (-1,0) is y=
Answers
The tangent line to the curve y = 7sin(x + y) at the point (-1,0) is given by the equation y = 7x + 7. The normal line to the curve at the same point is represented by the equation y = -x/7.
To find the tangent line to the curve y = 7sin(x + y) at the point (-1,0), we need to determine the slope of the curve at that point. The slope of a curve at any given point can be found by taking the derivative of the equation with respect to x. However, since the equation involves both x and y, we need to use implicit differentiation.
Differentiating y = 7sin(x + y) implicitly with respect to x, we get:
dy/dx = 7cos(x + y) * (1 + dy/dx)
Substituting the point (-1,0) into the equation, we have:
dy/dx = 7cos(-1 + 0) * (1 + dy/dx)
dy/dx = 7cos(-1) * (1 + dy/dx)
Simplifying, we find:
dy/dx = 7cos(-1) / (1 - 7cos(-1))The slope of the tangent line is equal to dy/dx at the point (-1,0). Using this slope and the point (-1,0), we can find the equation of the tangent line using the point-slope form:
y - y₁ = m(x - x₁)
y - 0 = (7cos(-1) / (1 - 7cos(-1)))(x - (-1))
y = 7cos(-1)x / (1 - 7cos(-1)) + 7cos(-1) / (1 - 7cos(-1))
Simplifying further, we have:
y = 7x + 7
For the normal line, we know that the slope of the normal line is the negative reciprocal of the slope of the tangent line. Therefore, the slope of the normal line is -1/(7cos(-1) / (1 - 7cos(-1))). Using the point-slope form, we can find the equation of the normal line:
y - y₁ = m(x - x₁)
y - 0 = (-1/(7cos(-1) / (1 - 7cos(-1))))(x - (-1))
y = -x / (7cos(-1) / (1 - 7cos(-1)))
Simplifying further, we get:
y = -x / 7cos(-1)
Therefore, the equation of the tangent line is y = 7x + 7, and the equation of the normal line is y = -x / 7cos(-1).
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What is the distance between the points (-4, -8) and (10, -8)?
Answers
Answer:
14
Step-by-step explanation:
the difference between -4 and 10 is 14, (4 to get to 0, and 10 more to get to 10.) and the difference between -8 and -8 is 0 so we don’t have to count it.
a card game using 36 unique cards: four suits (diamonds, hearts, clubs, and spades) with cards numbered from 1 to 9 in each suit. a hand is a collection of 9 cards, which can be sorted however the player chooses. how many 9 card hands, out of the total set of 36 possible cards, can be made?
Answers
There are 9,075,135,300 possible 9 card hands that can be made from a set of 36 unique cards.
This is a combination problem, where we want to select 9 cards from a set of 36 cards.
The order of the cards in the hand does not matter, so we need to use the formula for combinations:
n C r = n! / (r! * (n-r)!)
where n is the total number of items, r is the number we want to select, and ! denotes the factorial function.
In this case, we have n = 36 and r = 9. So, the number of 9 card hands we can make is:
36 C 9 = 36! / (9! * (36-9)!)
= (36 x 35 x 34 x 33 x 32 x 31 x 30 x 29 x 28) / (9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
= 9,075,135,300
Therefore, there are 9,075,135,300 possible 9 card hands that can be made from a set of 36 unique cards.
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The sum of 8 and the quotient of a number and 25
Answers
Answer:
8 + n/25
Step-by-step explanation:
A fixed ratio schedule provides reinforcement for a response only if a fixed time period has elapsed. true or false?
Answers
False. A fixed ratio schedule provides reinforcement for a response after a fixed number of responses, not based on a fixed time period.
A fixed ratio schedule provides reinforcement for a response only after a fixed number of responses have been made, not after a fixed time period has elapsed. In contrast, a fixed interval schedule provides reinforcement for a response after a fixed time period has elapsed.
Planning examples include support after certain responses have been submitted. The term flat rate is calculated using a fixed response. For example, if the rabbit were to get stronger when the force was pulled exactly five times, it would get stronger in time FR 5.
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solve for x please help and asap show steps if possible
Answers
Answer:
x=21.53
Step-by-step explanation:
You can use trigonometric ratios.
I need the answers from question 10 to 17
You don’t have to answer all of them but I would like one or maybe a couple of answers
Answers
b)8m
c)9m
d)20m
Which ordered pair is a solution for 3x - 1 = y?
Answers
Answer: A (2,5)
Step-by-step explanation: Remove Parenthesis
y = 3 (2) - 1
Simplify 3 (2) - 1
Multiply 3 by 2
y = 6 - 1
Subtract 1 from 6
y = 5
Use the x and y values to from the ordered pair.
(2,5)
Answer:
(2.5)
Step-by-step explanation:
Simply because if we tried it it works : 3*2-1=6-1=5y=5 so it's truewhat element is defined by the following information? p = 17 n° = 20 e- = 17
Answers
The element defined by the given information p = 17 n° = 20 e- = 17 is Chlorine (Cl).
An atom consists of protons, neutrons, and electrons. The atomic number of an element corresponds to the number of protons present in the nucleus of an atom. Hence, the atomic number (p) of the given element is 17. A neutral atom contains an equal number of protons and electrons.
Therefore, the number of electrons (e-) of the given element is 17 as well. The number of neutrons (n°) can be calculated as the difference between the atomic mass number (A) and the atomic number (p).
In the case of the given element, the atomic number is 17, and the atomic mass number is 37 (as chlorine has two stable isotopes of mass numbers 35 and 37). Hence, n° = 37 - 17 = 20. Therefore, the element defined by the given information p = 17 n° = 20 e- = 17 is Chlorine (Cl).
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Unknown angle problems (with algebra)
Answers
Answer:
x = 20
Step-by-step explanation:
100 + 3x + x = 180
100 + 4x = 180
- 100 -100
4x = 80
÷4 ÷4
x = 20
360° is a full circle, and since this is half you set the numbers equal to 180°
I hope this helps!
A parabola has a vertex at (0,0). The equation for the directrix of the parabola is x = –4.
In which direction does the parabola open?
up
down
right
left
Answers
The direction does the parabola open is right. Option C
What is the equation of a parabola?
It is important to note that the general equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h
where
⇒ (h , k) denotes the vertex.
Also, the standard equation of a regular parabola is y² = 4ax.
From the equation given , we have
The vertex of the parabola is at (0, 0)Directrix of the parabola is x = -4We know that when the vertex of the parabola is (0, 0) and the directrix is x = - a, the parabola will have the form;
y² = 4ax
It is important to note that ;
If the x - axis has a positive value, the parabola shifts to the leftif the x- axis has a negative value, the parabola shift to the rightFrom this, we can see that the parabola would open in the right direction
Thus, the direction does the parabola open is right. Option C
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Simplify and write the trigonometric expression in terms of sine and cosine: (1+cos(y))/(1+sec(y))
Answers
The simplified expression in terms of sine and cosine is:
\(cos(y) + \frac{1}{(cos(y)+1) }- \frac{sin(y)^2}{(cos(y)+1)}\)
To simplify the expression (1+cos(y))/(1+sec(y)), we need to rewrite sec(y) in terms of cosine and simplify. Recall that sec(y) = 1/cos(y). Substituting this in, we get:
\(\frac{(1+cos(y))}{(1+sec(y))} =\frac{ (1+cos(y))}{(1+1/cos(y))}\)
Now we need to get a common denominator in the denominator of the fraction. Multiplying the second term by cos(y)/cos(y), we get:
\(\frac{(1+cos(y))}{(1+1/cos(y))} =\frac{ (1+cos(y))}{(cos(y)/cos(y) + 1/cos(y))} = \frac{(1+cos(y))}{((cos(y)+1)/cos(y))}\)
Next, we invert the denominator and multiply by the numerator to simplify:
\(\frac{(1+cos(y))}{((cos(y)+1)/cos(y)) }= \frac{(1+cos(y)) * (cos(y)}{(cos(y)+1))} = cos(y) + cos(y)^2 / (cos(y)+1)\)
Finally, we can simplify further using the identity cos(y)^2 = 1 - sin(y)^2, which gives:
\(cos(y) + cos(y)^2 / (cos(y)+1) = cos(y) + (1-sin(y)^2)/(cos(y)+1)\)
Combining the terms, we get:
\(\frac{(1+cos(y))}{(1+sec(y))} = cos(y) + (1-sin(y)^2)/(cos(y)+1)\\\\ = cos(y) + 1/(cos(y)+1) - sin(y)^2/(cos(y)+1)\)
Therefore, the simplified expression in terms of sine and cosine is:
\(cos(y) + \frac{1}{(cos(y)+1) }- \frac{sin(y)^2}{(cos(y)+1)}\)
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In a direct variation, y=84.7 when x=77. Write a direct variation equation that shows the relationship between x and y.
HELP!
Answers
Answer:
Step-by-step explanation:
In a direct variation, y and x are directly proportional to each other, so we can write:
y = kx
where k is a constant of variation.
To find k, we can use the given values of x and y:
y = kx
84.7 = k(77)
Solving for k:
k = 84.7/77
k = 1.0994
So the direct variation equation that shows the relationship between x and y is:
y = 1.0994x
Alexis walked 1.5 km to her house in 0.5 hours. What is Alexis' speed?
3 km/hr
.33 km/hr
O 75 km/hr
O 3 mph
Answers
Answer:
.33
Step-by-step explanation:
Which expression is equivalent to 12.8-3s+15.5+8s?
A. -2+5s
B. 5s +28.3
C. 33.3s
D. 27.3 +5s
Answers
The correct expression which is equivalent to 12.8 - 3s + 15.5 + 8s is,
⇒ 5s + 28.3
We have to given that;
Expression to solve is,
⇒ 12.8 - 3s + 15.5 + 8s
Now, WE can simplify as;
⇒ 12.8 - 3s + 15.5 + 8s
Combine like terms,
⇒ 12.8 + 15.5 - 3s + 8s
⇒ 28.3 + 5s
⇒ 5s + 28.3
Thus, The correct expression is,
⇒ 5s + 28.3
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if each ticket cost $4 and I wanted to buy 1,000 how much would that cost?
Answers
Explanation:
Multiply the number of tickets by the cost
Answer:
$4000
Step-by-step explanation:
1 ticket = $4
Then,
1000 tickets = 1000 x 4 = $4000
I'm not sure how to work this out, can someone please explain to me?
Answers
translation to an algebraic expression 44 more than bthe translation is
Answers
The phrase "more than" indicates that the number must be added to another number.
Thus, the translation of the mathematical phrase is:
\(b+44\)I need this asap please help
Answers
Answer:
Step-by-step explanation:
the answer would be 5/4 i belive
Solve 6- 7x = 7x - 9x + 11 The value of xis
Answers
Answer:
x=-1
Step-by-step explanation:
-7x-7x+9x=-6+11
-5x=5
x=-1 (b0th side divide by -5 )
Nakul starts his journey to his school by scooter at 9 am and reaches his school at 1 pm. if he drives the scooter at a speed of 30 km/hr. By how much should he increase the speed of the scooter so that he can reach the school by 12 noon ?
Answers
Answer:
(30 km/hr)(4 hr) = 120 km
120 km/3 hr = 40 km/hr
Nakul should increase the speed of the scooter by 10 km/hr.
Replace ∗ with a monomial so that the derived equality will be an identity
1. ( * +3b)²=a²+6ab+9b²
Answers
Please find attached photograph. The monomial is a.
student researchers wanted to see whether a short delay between seeing a list of words and when people were asked to recall them would hinder memorization. the subjects were shown a list of words to memorize for 1 minute and were then given 1 minute to recall as many words as they could. each subject did this once with no delay between memorizing and recall and another time with a 30-second wait between memorizing and recall. they were randomly assigned the order of the two conditions. the number of words memorized under each condition can be found in the statcrunch data set memorizingwords. questions: use the appropriate simulation applet to calculate an approximate p-value. is there strong evidence that a short delay hinders the memorization process? explain.
Answers
The appropriate simulation applet to calculate an approximate p-value is 0.0077.
The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.
Delay or no delay, answer: the number of words remembered
The mean distance between words remembered with and without delay over time is null, or zero.
Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.
Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.
The mean distance in words remembered is 1.85.
1)0.0077 as the p-value
2)Strong data suggests that a brief delay impairs memorization.
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Which of the following is a polynomial?
Answers
Answer:
i think option d is the correct answer of this question.
Which pair shows equivalent expressions? (a) 2(2/5x+2)=2 2/5 x+1 (B) 2(2/5x+2) = 2/5x+4 (C) 2(2/5x+2) =2/5x+2 (D) 2(2/5x+2) =2 2/5x+8
Answers
Answer:
No equivalent pairsStep-by-step explanation:
(A) 2(2/5x+2)=2 2/5 x+1, wrong as 2*2 = 4 not 1 and 2*2/5 = 4/5 not 2 2/5(B) 2(2/5x+2) = 2/5x+4, wrong as 2*2/5 = 4/5 not 2/5(C) 2(2/5x+2) =2/5x+2, wrong as the right side is not doubled(D) 2(2/5x+2) =2 2/5x+8, wrong as 2*2/5 = 4/5 not 2 2/5 and 2*2 = 4 not 8Answer:
0 (none). Just bc their is no exact value therefore when u compare them all they equal 0 equivalents
I really need help with this please help me, thanks.
Answers
Answer:
D
Step-by-step explanation:
What multiplies to make 400 and adds to make -40 PLS HELP
Answers
Answer:
-20 and -20
Step-by-step explanation:
Mark brainliest please
Bobby says, “when you multiply two numbers, the product is greater than both factors “ Bobby’s claim is not always true select the two multiplication expressions that show Bobby’s claim is not always true
Answers
Answer:
0*1=0 7*1 basically anything multiplied by 0 or 1 will not be greater than both factors
Step-by-step explanation:
Based on how I do not know the options I am going to say what I believe you might have as options for example, anything multiplied by 0 is less than and anything multiplied by 1 is not greater it is equal to.
view picture please!!!
Answers
Answer:
70/3
Step-by-step explanation:
\(f(0)=\frac{140}{1+5e^{-2(0)}} \\ \\ =\frac{140}{1+5(1)} \\ \\ =\frac{140}{6} \\ \\ =\frac{70}{3}\)