Precession and nutation are two distinct motions of a spinning top or gyroscope. Precession is a slow, uniform motion that results from the gravitational force acting on a spinning top or gyroscope.
It is a slow, uniform motion in which the spinning object's axis of rotation moves in a cone-like motion.
Nutation is a fast, non-uniform motion that is caused by the torque of a nearby force. It is a rapid, irregular motion that causes the spinning object's axis of rotation to wobble back and forth.
Precession is a regular, predictable motion, whereas nutation is an unpredictable, irregular motion. Precession is typically used to describe the motion of a satellite or planet in its orbit, while nutation is used to describe the motion of a spinning top or gyroscope.
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Precession and nutation are two different types of rotational movements in astronomy.
Precession refers to the slow, conical movement of an object's rotational axis, which changes the orientation of the object over time. In the case of Earth, precession causes the direction of the North Pole to change over time.
Nutation, on the other hand, is a rapid, irregular movement of an object's rotational axis. It is caused by the combined gravitational forces of the Sun, Moon, and other celestial bodies on the Earth. Unlike precession, nutation occurs in small, cyclical changes in the orientation of the rotational axis, causing the axis to move slightly back and forth.
In summary, precession is a slow, systematic change in the orientation of an object's rotational axis, while nutation is a rapid, irregular movement of the axis caused by external forces.
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How many grams of protein will 7 servings provide?
Answer:
What does the serving consist of?
Step-by-step explanation:
Answer:
it depends on what the servings are
Step-by-step explanation:
the mean absolute deviation (mad) is used to: group of answer choices eliminate forecast errors. detects random factors. estimate the trend line. measure forecast accuracy.
The mean absolute deviation (MAD) is a measure of forecast accuracy that is used to detect random factors in a data set. It is calculated by taking the mean of the absolute differences between the actual values and the forecast values.
The MAD can be used to eliminate forecast errors by identifying and removing random factors that are causing the errors. It is not typically used to estimate the trend line or measure forecast accuracy. Mean absolute deviation (MAD) is a measure of the variability or dispersion of a data set. It is calculated by taking the mean of the absolute differences between the individual values in the data set and the mean of the data set.
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I have to find out what 56 divided by 1/17 is
Answer:
it's 952 :)
Step-by-step explanation:
I hope this was helpful!
God loves u ! Byeee
Divide 3) 5,945 R?
what's the remader PLS HELPP
Answer:
1981
Step-by-step explanation:
3÷5,945
1981 for 1/3
vgiven the set of integers: {88, 2, 9, 36}, how many different min heaps can be made using these integers? justify your answe
There are six different min heaps that can be made using the set of integers {88, 2, 9, 36}.
To understand why there are six different min heaps, we first need to know what a min heap is. A min heap is a binary tree where the parent node is always smaller than or equal to its child nodes.
Now, let's consider the set of integers {88, 2, 9, 36}. To make a min heap, we start by taking the smallest integer and making it the root of the tree. So, we can start with either 2 or 9 as the root.
If we start with 2 as the root, we have three choices for the second level of the tree: 9, 36, or 88. If we choose 9 as the second level, then we have only one choice for the third level, which is 88. If we choose 36 as the second level, we have two choices for the third level: 88 or 9. If we choose 88 as the second level, we have only one choice for the third level, which is 9. Therefore, starting with 2 as the root, we have a total of 3 possible min heaps.
If we start with 9 as the root, we have two choices for the second level: 2 or 36. If we choose 2 as the second level, we have only one choice for the third level, which is 88. If we choose 36 as the second level, we have only one choice for the third level, which is 88. Therefore, starting with 9 as the root, we have a total of 2 possible min heaps.
So, adding up the possibilities from both starting points, we get a total of 3 + 2 = 5 possible min heaps. However, we need to consider one more possibility: starting with 36 as the root. In this case, we have only one choice for the second level, which is 88. Therefore, starting with 36 as the root, we have a total of 1 possible min heap.
Therefore, the total number of different min heaps that can be made using the set of integers {88, 2, 9, 36} is 3 + 2 + 1 = 6
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Calculate the simple interest earned on an investment of $7250 at a semiannual rate of 2.1% for 6 years.
Write your answer to the nearest cent.
Answer:
the simple interest=913.5
914 (Nearest cent)
Step-by-step explanation:
\(i = \frac{prt}{100} \\ i = \frac{7250 \times 2.1 \times 6}{100} \\ i = \frac{91,350}{100} \\ i = 913.5\)
\(I = 914 \\ to\: the\: nearest \:cent\)
find the value of questions
Answer:
The simplified expression is:
\(\frac{3^9y}{2\times \:81}=\frac{243y}{2}\)
Step-by-step explanation:
Given the expression
\(\frac{3^9\times \:y}{2\times 81}\)
solving the expression
\(\frac{3^9\times \:y}{2\times 81}=\frac{3^9y}{162}\)
\(=\frac{3^9y}{3^4\times \:2}\) ∵ \(162=3^4\times \:2\)
\(=\frac{3^5y}{2}\) ∵ \(\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\)
\(=\frac{243y}{2}\) ∵ \(3^5=243\)
Therefore, the simplified expression is:
\(\frac{3^9y}{2\times \:81}=\frac{243y}{2}\)
Which equation is equivalent to 3/5 = 17 2/5 ÷ h? A.3 = (87 ÷ h) – 9 B.3 × 9 = (87 ÷ h) ÷ 9 3 + 9 = (87 ÷ h) + 9 C.3 – 9 = (87 ÷ h)
The value of equivalent expression is,
3 = 87 ÷ h
We have to given that;
Equation is,
⇒ 3/5 = 17 2/5 ÷ h
Now, We can simplify as;
⇒ 3/5 = 17 2/5 ÷ h
⇒ 3/5 = 87/5 ÷ h
⇒ h = 87/5 × 5/3
⇒ h = 29
For Option A;
3 = 87 ÷ h
h = 87 / 3
h = 29
For B;
3 × 9 = (87 ÷ h) ÷ 9
27 × 9 = 87 ÷ h
h = 87 / 27 x 9
h = 0.35
C) 3 - 9 = 87 ÷ h
h = 87 / - 3
h = - 29
Thus, The value of equivalent expression is,
3 = 87 ÷ h
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find slope of the line given (0,-2) and (-2, -8)
Answer:
\(3\)
Step-by-step explanation:
\(\mathrm{The\ slope\ of\ a\ line\ passing\ through\ the\ points\ (x_1,y_1)\ and\ (y_2,y_1)\ is\ given\ by:}\\\mathrm{Slope(m)=\frac{y_2-y_1}{x_2-x_1}}\\\\\mathrm{According\ to\ the\ question,}\\\mathrm{(x_1,y_1)=(0,-2)}\\\mathrm{(x_2,y_2)=(-2,-8)}\)
\(\mathrm{Therefore\ the\ slope=\frac{-8-(-2)}{-2-0}=\frac{-8+2}{-2}=3}\)
David wants to buy 2 apples and some bananas. (4 points)
• The price of 1 apple is $2.99.
• The price of bananas is $0.67 per pound.
David wants to spend less than $10.00. Write an inequality that represents the number of pounds of bananas, b, David can buy.
Answer:
10 ≥ 2(2.99) + 0.67b
10 ≥ 5.98 + 0.67b
4.02 ≥ 0.67b
6 ≥ b
David can buy 6 pounds of bananas at most.
Hope I helped <3
How to find the inverse fraction
The function g(x) = √x/(√x + 1) does not have an inverse
How to determine the inverse functionFrom the question, we have the following parameters that can be used in our computation:
g(x) = √x/(√x + 1)
Express as an equation
So, we have
y = √x/(√x + 1)
Swap the variables x and y
This gives
x = √y/(√y + 1)
Square both sides
x^2 = y/(y + 2√y + 1)
So, we have
x^2(y + 2√y + 1) = y
This gives
(y + 2√y + 1)/y = 1/x^2
Divide all
1 + 2/√y + 1/y = 1/x^2
So, we have
2/√y + 1/y = (1/x^2) - 1
The equation cannot be sovled further
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Is $9 : 4 visitors - $18 : 8 visitors proportional
Yes, $9 for 4 visitors and $18 for 8 site visitors are proportional.
To determine whether or not $9 for 4 visitors and $18 for 8 visitors are proportional, we need to test if the ratio of the value to the number of visitors is the equal for both cases.
The ratio of cost to the quantity of visitors for $9 and four visitors is:
$9/4 visitors = $2.25/ visitors
The ratio of value to the quantity of visitors for $18 and eight visitors is:
$18/8 visitors = $2.25/ visitors
We are able to see that both ratios are equal to $2.25 per visitor.
Therefore, $9 for 4 visitors and $18 for 8 site visitors are proportional.
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calculate the first order correction to for a particle in a one-dimensional box with walls at and due to the following perturbations
The first-order correction to the energy of a particle in a one-dimensional box with walls at positions x = 0 and x = L due to perturbations can be calculated using perturbation theory. The perturbations in this case are specified as follows:
In order to determine the first-order correction, we need to calculate the expectation value of the perturbing potential operator, V(x), between the unperturbed eigenstates of the system. Since the particle is confined to a one-dimensional box, the unperturbed eigenstates are given by the stationary states of the particle in the absence of perturbations, which are the standing waves (also known as stationary states) described by the wavefunction ψ_n(x) = √(2/L)sin(nπx/L), where n is the quantum number.
The first-order correction to the energy is given by the expression ΔE^(1) = ⟨ψ_n|V|ψ_n⟩, where ⟨ψ_n|V|ψ_n⟩ represents the expectation value of the potential operator V(x) between the unperturbed eigenstates. We can evaluate this expectation value by integrating the product of the perturbing potential and the square of the unperturbed eigenstate wavefunction over the entire range of the box.
In summary, to calculate the first-order correction to the energy of a particle in a one-dimensional box due to perturbations, we evaluate the expectation value of the perturbing potential operator between the unperturbed eigenstates. This correction accounts for the effects of the perturbations on the system's energy levels and provides insight into the behavior of the particle in the presence of the perturbing potential.
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fastt
13. Calculate the compound interest of an annuity due of BD400 paid each 4 months for 6.2 years if the nominal rate is 3% thirdly? (3 Points)
Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.
Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)
whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as
:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1
(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,
the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:
A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17
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Find the slope given the the two points
Answer:
the answer is 2
Step-by-step explanation:
use the slope equation
y^1-y^2/x^1-x^2
-1-(-5)/1-(-1)
4/2
2
HELP NOW!!?!! who ever gets all three of them right gets brainlist and (15 points) *questions in photo*
Answer:
1. 1,518,720
2. B = 458
3. Leah
Step-by-step explanation:
1. In order to get the first answer you must multiply 48 by 56 and then multiply that by the cost per feet to get your answer.
\(48=56\)
\(48\times56=2688\)
\(2688\times565=1518720\)
\(=1518720\)
2. In order to get the answer to this question you need to find the amount of necklaces both girls created and then multiply that number by the number of beads on those necklaces.
\(G=106\)
\(106+39=145\)
\(L=145\)
\(106\times104=210\)
\(145\times104=249\)
\(210+249=459\)
\(=458b\)
3. In order to find the answer to this question you need to calculate how much each the girls made then compare.
\(G=106\)
\(L=145\)
\(106\times14=1484\)
\(14+10=24\)
\(145\times24=3480\)
\(1484 < 3480\)
\(=3480L\)
Hope this helps.
10 Mrs Jeya bought some stickers. On Monday, she gave
\( \frac{1}{4} \)
stickers to students in Group A and had 72 stickers remaining. (a) On Tuesday, she gave
\( \frac{ \\ 5}{12} \)
of the remaining stickers to students in Group B. How many stickers did she give to Group B? (b) How many stickers did Mrs Jeya buy?
(a) Mrs Jeya gave 30 stickers to Group B on Tuesday. (b) Mrs Jeya bought a total of 126 stickers.
(a) Let's first calculate the number of stickers Mrs Jeya had remaining after giving 1/4 of the stickers to Group A. If she had 72 stickers remaining, it means that 3/4 of the original number of stickers is equal to 72. We can set up the equation:
(3/4) * x = 72
To solve for x, we multiply both sides of the equation by 4/3:
x = (72 * 4) / 3 = 96
So Mrs Jeya initially had 96 stickers.
Now, on Tuesday, she gave 5/12 of the remaining stickers to Group B. We know that the remaining number of stickers after giving to Group A was 72. Let's calculate the number of stickers she gave to Group B:
(5/12) * 72 = 30
Therefore, Mrs Jeya gave 30 stickers to Group B on Tuesday.
(b) To determine how many stickers Mrs Jeya bought, we need to add up the stickers she gave to Group A, the stickers she gave to Group B, and the remaining stickers.
Stickers given to Group A: 1/4 * 96 = 24
Stickers given to Group B: 30
Remaining stickers: 72
Total stickers = Stickers given to Group A + Stickers given to Group B + Remaining stickers
= 24 + 30 + 72
= 126
Therefore, Mrs Jeya bought a total of 126 stickers.
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From the observation deck of a skyscraper, Jack measures a 67 angle of depression to a ship in the harbor below. If the observation deck is 903 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
Step-by-step explanation:
From the observation deck of a skyscraper; Madison measures a 67 angle of depression to a ship in the harbor below. Ifthe observation deck is 1143 feet high; what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary
========================================================
Explanation:
The drawing is shown below.
Notice that 23 + 67 = 90, or you could say 90-67 = 23.
Use the tangent ratio to find x.
tan(angle) = opposite/adjacent
tan(23) = x/903
x = 903*tan(23)
x = 383.300759 approximately
x = 383.30
PLEASE HELP I WILL GIVE THE BRAINIEST!!!! solve r to the nearest tenth of a centimetre
Answer:
11.75 cm
Step-by-step explanation:
sin50° = \(\frac{9.0cm}{v}\)
\(v=\frac{9.0cm}{sin50} = 11.75 cm\)
What is the smallest angle of rotational symmetry for a square?
45º
90º
180º
360º
Answer:
90 degrees
Step-by-step explanation:
took the test
The smallest angle of rotational symmetry for a square is 90°. option B
Properties of a squareA square is a quadrilateral with equal 4 sides and 4 vertices.The opposite sides of a square are parallel to each other.Interior angle at each vertex is 90°.Sum of all interior angles is 360°.Thus, the smallest angle of rotational symmetry for a square is 90°
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wer:
Find the slope of the line that passes through the given points.
(-3, 7.2) and (2,-2.3)
Answer:
Step-by-step explanation:
this slope of a line question is such a common question. I feel like math teachers all over don't understand how to teach this subject. Just so you know, I answer a question like this about 10 times a day when I am on here. It's like one of the most common questions.
Here is my copy and paste answer for this...
point P1 (-3,7.2) in the form (x1,y1)
point P2(2,-2.3) in the form (x2,y2)
slope = m
m = (y2-y1) / (x2-x1)
m = (-2.3-7.2) / (2-(-3))
notice all the minus signs and how i'm being very careful to keep close track of them. Also, who ever has written this question is intentionally trying to trip you up by putting in all the minus signs, there is no need for so many minus signs to teach this well. Anyway...
m = -8.5 / 5
m = - 1.7
the problem question ends there , but there is a common place this question is supposed to take you. to the point slope formula. but for another question.
The slope of (-3, 7.2) and (2, -2.3) is -1.9.
Consider,
(x1, y1) = (-3, 7.2)
(x2, y2) = (2, -2.3)
slope = (y2 - y1)/(x2-x1)
slope = ((-2.3) - (7.2))/((2) - (-3))
slope = (-9.5)/(5)
slope = -1.9
Therefore, the slope of the given points (-3, 7.2) and (2, -2.3) is -1.9.
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What are are rational numbers ?!!
Rational numbers are numbers that can be expressed as the ratio or fraction of two integers, where the denominator is not zero. In other words, a rational number is any number that can be written in the form of p/q. This is where p and q are integers and q is not equal to zero.
Rational numbers include integers (whole numbers and their negatives) and fractions. For example, 1, -3, 4/5, -2/7, and 0 are all rational numbers because they can be expressed as the ratio of two integers.
Rational numbers can be positive, negative, or zero, and they can be either finite (terminating) or non-repeating (recurring) decimals when expressed in decimal form. For example, 1/2 is a rational number that can be expressed as the finite decimal 0.5, while 1/3 is a rational number represented by the non-repeating decimal 0.3333...
It is worth noting that irrational numbers, such as the square root of 2 (√2) or pi (π), are numbers that cannot be expressed as a fraction and are not considered rational numbers.
Answer:
Numbers which can be expressed in the form of p/q (where q≠0) are called rational numbers. example:
7/3 , 21/11 etc.
Please answer and no links please and thank you.
Answer:
286 mm²
Step-by-step explanation:
A trapezium is given with ,
Parallel sides = 24mm , 28 mmHeight = 11mm .The area is given by :-
\(:\implies\) Area = 1/2 ( b₁ + b ₂) × h
\(:\implies\) Area = 1/2 ( 24 + 28)×11 mm²
\(:\implies\)Area = 1/2 × 52× 11mm²
\(:\implies\) Area = 286 mm²
Hence the area of the trapezium is 286 mm².Identify the equation for the line tangent to the circle x^2 + y^2 = 100 at the point (−6, 8).
The equation of tangent to the circle \(x^{2} +y^{2} =100\) at the point (-6,8) is -6x+8y=100.
Given the equation of circle \(x^{2} +y^{2} =100\)
and point at which the tangent meets the circle is (-6,8).
A tangent to a circle is basically a line at point P with coordinates is a straight line that touches the circle at P. The tangent is perpendicular to the radius which joins the centre of circle to the point P.
Linear equation looks like y=mx+c.
Tangent to a circle of equation \(x^{2} +y^{2} =a^{2}\) at (z,t) is:
xz+ty=\(a^{2}\).
We have to just put the values in the formula above to get the equation of tangent to the circle \(x^{2} +y^{2} =100\) at (-6,8).
It will be as under:
x(-6)+y(8)=100
-6x+8y=100
Hence the equation of tangent to the circle at the point (-6,8) is -6x+8y=100.
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Convert 48 fluid ounces to cup I need help
Answer:
6 Cups
Step-by-step explanation:
There are 8 fluid ounces in a cup, 48 divided by 8 = 6
determine the position of each hidden term. -14 is the _th term of 2 1/5, 2 , 1 4/5
-14 is the 81th term.
What is the position of -14?The first step is to determine the relationship between the numbers in the sequence. When examined, it can be seen that the number decline by 1/5.
To confirm : 2 1/5 - 2 = 1/5
The linear equation that can be used to determine the position of a number is:
2 1/5 - 1/5(x)
Where x is the position of the number
For example, the third number is
2 1/5 - 1/5(3) = 1 4/5
Given the number, the position of the number can be determined using the above linear equation:
-14 = 2 1/5 - 1/5(x)
In order to determine the value of x, take the following steps:
Multiply through by 5
(-14 x 5) = (11/5 x 5) - (x / 5 x 5)
-70 = 11 -x
Combine similar terms: 70 + 11 = x
Add similar terms: x = 81
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Mr. Delgado has some young orange trees. He wants to plant them in 49 rows. If t is the total number of orange trees, enter an algebraic expression to represent how many trees he can plant in each row.
HURRY HELP PLS!!!
Answer:which website is it from i can help u better
Step-by-step explanation:
(a) for what values of h is v3 in
Span {v1, v2} and (b) for what values of h is {v1, v2, v3} linearly
dependent? Justify each answer.
The vector v3 is in the span of {v1, v2} if and only if h = -9. {v1, v2, v3} is linearly dependent if and only if h = 9, and otherwise it is linearly independent. The results are obtained by solving a system of linear equations and performing row operations on a matrix.
To determine for what values of h v3 is in the span of {v1, v2}, we need to find the values of h that satisfy the equation
v3 = c1 * v1 + c2 * v2
where c1 and c2 are constants. This equation can be written as a system of linear equations
1 * c1 - 3 * c2 = 2
-3 * c1 + 10 * c2 = -7
2 * c1 - 6 * c2 = h
Using Gaussian elimination or another method, we can solve this system of equations to obtain
c1 = -1/2 * h - 1/2
c2 = -1/2
Therefore, v3 is in the span of {v1, v2} if and only if the values of h that satisfy the above system of equations are the same as the value of h in v3, which is
-1/2 * h - 1/2 = 2
h = -9
So, v3 is in the span of {v1, v2} if and only if h = -9.
To determine for what values of h {v1, v2, v3} is linearly dependent, we can form a matrix with v1, v2, and v3 as columns
A = [1 -3 2; -3 10 -7; 2 -7 h]
Then we can use Gaussian elimination or another method to row-reduce the matrix to obtain its row echelon form
[ 1 -3 2 ]
[ 0 1 -1 ]
[ 0 0 h-9 ]
If h-9 = 0, then the matrix has a row of zeros and is linearly dependent. Therefore, {v1, v2, v3} is linearly dependent if and only if h = 9.
Otherwise, the matrix is linearly independent and so is {v1, v2, v3} for all other values of h.
Therefore, {v1, v2, v3} is linearly dependent if and only if h = 9.
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--The given question is incomplete, the complete question is given
" for what values of h is v3 in
v1 = [1 -3 2], v2 = [-3 10 -6], v3 = [2 -7 h]
Span {v1, v2} and (b) for what values of h is {v1, v2, v3} linearly
dependent? Justify each answer."--
x- 4y=4
show steps please
Answer:
y = -1+ 1/4x
Step-by-step explanation:
x - 4y = 4
subtract x from both sides to isolate y
-4y = 4 - x
divide both sides by -4
y = -1 + 1/4x
Given that 1 inch is approximately 2.54 centimeters, how many inches are in 2 centimeters? Round your answer to the nearest tenth.
Answer:
0.7874 inches
Step-by-step explanation:
divide
2 / 2.54
Answer:
0.8 in (nearest tenth)
Step-by-step explanation:
\(\sf Given \ 2.54 \ cm \approx 1 \ in\)
\(\sf \implies 1 \ cm \approx \dfrac{1}{2.54}=\dfrac{50}{127} \ in\)
\(\sf \implies 2 \ cm \approx \dfrac{50}{127}\cdot 2= \dfrac{100}{127} =0.8\ in \ (nearest \ tenth)\)