An airplane flying at 15, 000 ft descends to land at
an airport. During the airplane's final approach it
descends from 15,000 ft to 7, 400 ft in 3 min.
Answers
The plane descends, on average, 42.22 feet per second.
Given that an airplane flying at 15, 000 ft descends to land at an airport, and during the airplane's final approach it descends from 15,000 ft to 7, 400 ft in 3 min, to determine the average descent per second, the following calculation must be performed:
(15,000 - 7,400) / (3 x 60) = X 7600/180 = X 42.22 = X
Therefore, the plane descends, on average, 42.22 feet per second.
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Related Questions
The distance from Earth to the Sun is approximately 9 x 10exponetn7 miles. The distance from Earth to the moon is approximately 2 x 10exponent 5 miles. Approximately how many times the distance from the Earth to the Moon is the distance from Earth to the Sun? 0 18 45 222 450
Answers
450 miles
Explanation
Step 1
Let
\(\begin{gathered} \text{distance(earth-sun)}=9\cdot10^7miles \\ \text{distance(earth-moon)}=2\cdot10^5miles \end{gathered}\)Step 2
how many times the distnce (E-M) is the distance(E-S)
\(\frac{ES}{EM}=\frac{9\cdot10^7}{2\cdot10^5}=\frac{9}{2}\cdot10^{7-5}=4.5\cdot10^2miles\)so, the distance is
\(4.5\cdot10^2miles=4.5\cdot100=450\)I hope this helps you
solve the linear system using substitution
y - 5 = x
4x - y = 4
Answers
Step-by-step explanation:
X=y-5
Now,
4x-y=4
4(y-5)-y=4
4y-20-y=4
3y=24
Y=8
Substituting the value of y
8-5=x
X=3
the graph below represents which of the following functions. A. y= 3sin(2(x+pi/3))
Answers
The trigonometric function for this graph is given as follows:
D. y = 3sin(2(x - π/3)).
How to define the sine function?The standard definition of the sine function is given as follows:
y = Asin(B(x - C)) + D.
For which the parameters are given as follows:
A: amplitude.B: the period is 2π/B.C: phase shift.D: vertical shift.Thus function has an amplitude of 3, hence the parameter A is given as follows:
A = 3.
The period is the standard period of 2π, hence the coefficient B is given as follows:
B = 1.
The function was shifted π/3 units right, hence the coefficient C is given as follows:
C = π/3.
Hence the function is:
y = 3sin(2(x - π/3))
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2x+3>_7 or 2x+9>11 plzzzz help meee
Answers
Answer:
b
Step-by-step explanation:
hi I I'm the explanation
3. Find \( y^{\prime} \) for the following implicit function \( y^{2}-x^{2} y=-2 \)
Answers
The derivative \(\( y' \)\) of the implicit function \(\( y^2 - xy = -2 \)\) is 0, indicating a constant slope with no change in relation to \(\( x \)\).
To find \(\( y' \)\)for the implicit function \(\( y^2 - xy = -2 \)\), we can differentiate both sides of the equation with respect to \(\( x \)\) using the chain rule. Let's go step by step:
Differentiating \(\( y^2 \)\) with respect to \(\( x \)\) using the chain rule:
\(\[\frac{d}{dx}(y^2) = 2y \cdot \frac{dy}{dx}\]\)
Differentiating \(\( xy \)\) with respect to \(\( x \)\) using the product rule:
\(\[\frac{d}{dx}(xy) = x \cdot \frac{dy}{dx} + y \cdot \frac{dx}{dx} = x \cdot \frac{dy}{dx} + y\]\)
Differentiating the constant term (-2) with respect to \(\( x \)\) gives us zero since it's a constant.
So, the differentiation of the entire equation is:
\(\[2y \cdot \frac{dy}{dx} - (x \cdot \frac{dy}{dx} + y) = 0\]\)
Now, let's rearrange the terms:
\(\[(2y - y) \cdot \frac{dy}{dx} - x \cdot \frac{dy}{dx} = 0\]\)
Simplifying further:
\(\[y \cdot \frac{dy}{dx}\) \(- x \cdot \frac{dy}{dx} = 0\]\)
Factoring out:
\(\[(\frac{dy}{dx})(y - x) = 0 \]\)
Finally, solving:
\(\[\frac{dy}{dx} = \frac{0}{y - x} = 0\]\)
Therefore, the derivative \(\( y' \)\) of the given implicit function is 0.
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Based on Exercise 9, prove that τ and σ are multiplicative. That is, prove that if m and n are relatively prime, then τ(mn)=τ(m)τ(n) and σ(mn)= σ(m)σ(n).
Answers
To prove that τ and σ are multiplicative, we need to show that if m and n are relatively prime, then τ(mn) = τ(m)τ(n) and σ(mn) = σ(m)σ(n).
To prove τ(mn) = τ(m)τ(n), we can start by considering the prime factorization of m and n. Let's say m = p₁^a₁ * p₂^a₂ * ... * pₖ^aₖ and n = q₁^b₁ * q₂^b₂ * ... * qₙ^bₙ, where p₁, p₂, ..., pₖ and q₁, q₂, ..., qₙ are distinct prime numbers. Since m and n are relatively prime, none of their prime factors overlap.
Now, the divisors of mn are the numbers of the form p₁^x₁ * p₂^x₂ * ... * pₖ^xₖ * q₁^y₁ * q₂^y₂ * ... * qₙ^yₙ, where 0 ≤ xᵢ ≤ aᵢ and 0 ≤ yⱼ ≤ bⱼ. Thus, the number of divisors of mn, τ(mn), can be calculated by multiplying the number of divisors of m, τ(m), with the number of divisors of n, τ(n). Hence, τ(mn) = τ(m)τ(n).
To prove σ(mn) = σ(m)σ(n), we can again use the prime factorization of m and n. Similar to the previous proof, the sum of divisors of mn, σ(mn), can be calculated by multiplying the sum of divisors of m, σ(m), with the sum of divisors of n, σ(n). Hence, σ(mn) = σ(m)σ(n).
Therefore, we have proved that τ and σ are multiplicative when m and n are relatively prime.
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We have shown that both τ and σ are multiplicative functions, satisfying the properties τ(mn) = τ(m)τ(n) and σ(mn) = σ(m)σ(n) for relatively prime numbers m and n.
To prove that τ (the number of positive divisors) and σ (the sum of positive divisors) are multiplicative functions, we need to show that for any two relatively prime numbers, m and n, the following properties hold:
1. τ(mn) = τ(m)τ(n)
2. σ(mn) = σ(m)σ(n)
Let's start with property 1:
1. τ(mn) = τ(m)τ(n)
If m and n are relatively prime, it means that they do not share any prime factors. Therefore, the divisors of mn are formed by taking a divisor of m and a divisor of n. Each divisor of mn can be uniquely expressed as the product of a divisor of m and a divisor of n.
Since the number of divisors of mn is equal to the product of the number of divisors of m and the number of divisors of n, we can conclude that τ(mn) = τ(m)τ(n).
Now let's move on to property 2:
2. σ(mn) = σ(m)σ(n)
Similar to property 1, we can express the sum of divisors of mn as the sum of products, where each product is formed by taking a divisor of m and a divisor of n. Again, since m and n are relatively prime, their divisors are distinct.
Using the distributive property, we can expand the sum of products as the sum of two separate terms: one involving the divisors of m and another involving the divisors of n. The sum of divisors of mn is therefore equal to the product of the sum of divisors of m and the sum of divisors of n.
Hence, we can conclude that σ(mn) = σ(m)σ(n).
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Meg is a veterinarian. I. Given week , 50% of the 16 dogs she saw were boxers . Steve is also a veterinarian. In the same week , 7 of the 35 dogs he saw this week were boxers. Each wants to know the record the part , the whole and the percent. Does meg need to find the part the whole or the percent
Answers
In this situation, Meg will need to find the whole because she already has the part and the percentage.
What is a whole?In mathematics, a whole represents the total number of items that are analyzed, in this case, the total number of dogs.
What is the part?The part refers to a number that is usually lower than the whole and describes specific characteristics. For example, in a classroom of 30 kids, 20 like to play basketball. Then 20 is the part.
What is the percentage?The percentage is the number followed by the symbol % and represents the relationship between the part and the whole. In this case, the percentage of boxers is related to the number of total dogs.
Based on this, Meg already has the percentage (50%), and the part (16), therefore, she needs to find the whole or the total number of dogs, in this case, 32.
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She needs the find the whole
Find the length of WY
Answers
Answer:
WY = 180
Step-by-step explanation:
the diagonals of an isosceles trapezoid are congruent , so
ZX = WY , that is
8y - 4 = 7y + 19 ( subtract 7y from both sides )
y - 4 = 19 ( add 4 to both sides )
y = 23
Then
WY = 7y + 19 = 7(23) + 19 = 161 + 19 = 180
What are the 4 types of functions?.
Answers
The four types of function are One One Function , Many to One Function , Onto Function and Into Function .
The four types of functions are :
A one-to-one function is defined as f: A B, where each element in set A is connected to a specific element in set B. The one-to-one function is also known as an injective function. Each domain element in this case has a distinct image or co-domain element for the given function.A many-to-one function is defined by the function f: A B, which links various elements of set A to a single element of set B. In a many to one function, multiple elements share the same co-domain or image.In an onto function, the domain element and each codomain element are connected. For a function described by f: A B, every element in set B has a pre-image in set A. The onto function is also known as a subjective function.The characteristics of an onto function and an into function are identical. In this instance, some co-domain components are missing pre-images. Set B contains an excessive number of components in its range, and none of them are related to anything in set A.To learn more about functions visit:
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Suppose A is a 4x3 matrix and b is a vector in R4 with the property that Ax=b has a unique solution. What can you say about the reduced echelon form of A? Justify your answer. Choose the correct answer below. A. The first term of the first row will be a 1 and all other terms will be 0. There is only one variable Xm, so there is only one possible solution. B. The first 3 rows will have a pivot position and the last row will be all zeros. If a row had more than one 1, then there would be an infinite number of solutions for am*m=bm.
C. There will be a pivot position in each row. If a row did not have a pivot position then the equation Ax = b would be inconsistent. D. The first row will have a pivot position and all other rows will be all zeros. There is only one equation to solve, so there is only one solution.
Answers
There will be a pivot position in each row. If a row did not have a pivot position then the equation Ax = b would be inconsistent. The correct answer is C.
What is the matrix?A matrix is a collection of numbers, encompassed by brackets.
The numbers are known as matrix elements or entries. The components are organized in rows (horizontal) or columns (vertical), which determine the matrix's size (dimension or order).
This statement C is true because, in the reduced echelon form of a matrix, the pivot position in each row indicates the non-zero leading term in that row, which corresponds to a unique unknown variable. If a row did not have a pivot position, then the corresponding equation would be equivalent to 0 = b, which is inconsistent.
Therefore, in order for Ax = b to have a unique solution, it is necessary that each row in the reduced echelon form of A has a pivot position.
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Find the equation of the horizontal line passing through the point (-3,-9)
Answers
Horizontal line passing through point is y = -9.
What is the equation of a line that passes through the point (-3,-9) and is parallel to the x-axis?The equation of a horizontal line is of the form y = b, where 'b' is the y-coordinate of any point lying on the line.
In this case, we're given that the line passes through the point (-3, -9). Therefore, we can substitute the value of '-9' for 'y' in the equation y = b to get:
-9 = b
This tells us that the y-intercept of the line is -9, which means that the line crosses the y-axis at the point (0, -9).
Since the line is horizontal, it doesn't matter what the x-coordinate is - the y-coordinate will always be -9. So the equation of the line is:
y = -9
And that's it! The equation of the horizontal line passing through the point (-3, -9) is y = -9.
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how to determine if a function has a horizontal asymptote
Answers
If the function approaches a specific value (y = c) as x approaches infinity or negative infinity, then it has a horizontal asymptote at y = c.
To determine if a function has a horizontal asymptote, consider the behavior of the function as x approaches positive or negative infinity. The main idea is to analyze the end behavior of the function.
Degree of Polynomials:
If the degree of the numerator is less than the degree of the denominator, the function has a horizontal asymptote at y = 0 (the x-axis). If the degree of the numerator is equal to the degree of the denominator, divide the coefficients of the highest degree terms. The resulting ratio determines the horizontal asymptote. If the degrees are unequal, there is no horizontal asymptote.
Limits:
Take the limit of the function as x approaches positive or negative infinity. If the limit evaluates to a finite value, that value represents the horizontal asymptote. If the limit is infinite (∞) or does not exist, there is no horizontal asymptote.
Infinity:
If the function involves terms like exponential functions or logarithmic functions, analyze their behavior as x approaches infinity. Exponential functions with positive exponents tend to infinity, while those with negative exponents approach zero. Logarithmic functions tend to negative infinity as x approaches zero.
By considering these methods, you can determine if a function has a horizontal asymptote and find its equation or behavior as x approaches infinity or negative infinity. Remember to apply these techniques with caution and consider the specific characteristics of the function being analyzed.
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exercise 6.1.11: find the inverse laplace transform of 1 /(s−1)^2 (s+1) .
Answers
Answer:
The inverse Laplace transform of 1/(s-1)^2 (s+1) is e^t - te^t + e^(-t)
We start by applying partial fraction decomposition to the given expression:
1/(s-1)^2 (s+1) = A/(s-1) + B/(s-1)^2 + C/(s+1)
Multiplying both sides by the denominator, we get:
1 = A(s-1)(s+1) + B(s+1) + C(s-1)^2
Substituting s=1 gives:
1 = 4C
So, C=1/4.
Substituting s=-1 gives:
1 = -4A
So, A=-1/4.
Substituting s=1 and simplifying gives:
B = 1/2.
Thus, we have:
1/(s-1)^2 (s+1) = (-1/4)/(s-1) + (1/2)/(s-1)^2 + (1/4)/(s+1)
Taking the inverse Laplace transform of each term using the table of Laplace transforms, we get:
L^(-1){(-1/4)/(s-1)} = -e^t
L^(-1){(1/2)/(s-1)^2} = te^t
L^(-1){(1/4)/(s+1)} = (1/2)e^(-t)
Hence, the inverse Laplace transform of 1/(s-1)^2 (s+1) is e^t - te^t + e^(-t).
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PLEASE HELP ME..... PLEASE
Answers
Because you have to cross multiply 7*3 and 8*2 so you get 21 and 16
You subtract that and you get 5 which is your top number
Answer:
answer is 5/24
Step-by-step explanation:
hope it help
Use the drawing tool(s) to form the correct answer on the provided graph.
A dilation by a scale factor of 2 centered at (2,-1) is performed on the triangle shown.
Draw the resulting triangle.
Drawing Tools
Select
Point
Line Segment
Click on a tool to begin drawing.
<+++
-10 -9 -8-7 -6 -5
-4
-2
10
9-
8-
7+
6
5-
4-
3-
2-
1
Delete
3
5
Undo
6
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00
8
Reset
9 10 no
Answers
The resulting dilated triangle is as attached and it has the coordinates; (2, 4), (4, -2) and (-6, -2).
How to interpret Dilation Scale Factor?When a triangle is dilated, it means that each vertex of the figure has it's coordinates multiplied by the scale factor of the dilation. Now, due to the fact that multiplication operation is involved, it means that the original triangle and the dilated triangle are not congruent, as their side lengths are different.
The vertices of the triangle are given as follows:
(1, 2), (2, -1) and (-3, -1).
The dilation has a scale factor of 2, meaning that each coordinate of the vertices will be multiplied by 2 and as such, the coordinates of the dilated triangle are given as follows:
(2, 4), (4, -2) and (-6, -2).
The new triangle is as attached
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what is 16% of 4kilogram
Answers
Answer:
0.64 kilogram
Step-by-step explanation:
95, 80, 65, 50,
Which function represents this sequence?
Answers
Answer:
I believe it is C
Step-by-step explanation:
a{n}=a{1}+(n-1)d
an = the nᵗʰ term in the sequence
a1 = the first term in the sequence
d = the common difference between terms
Answer:
D
Step-by-step explanation:
Here the sequence start with 95
then start to minus 15 to make the sequence
for the first time 80
then for the second 65
and for third time 50
in this equation (n) represent the times or how many 15 we will minus from 95
so in
-15n+95
-15(1)-95=80
-15(2)-95=65
-15(3)-95=50
I hope this help
a carpenter has an AB wooden plank lengthening 252cm. He divides it into four parts by inserting the points C, D and E in such a way that: CD=3*AC, DE=2*CD, EB=4*AC. Calculate the measure of each of the four parts of the axis
Answers
The value of each part is AC = 18 cm, CD = 54 cm, DE = 108 cm, and
EB = 72 cm. This can be solved using the concept of mathematical operators.
What are mathematical operators?A collection of numbers and operations is an expression in mathematics. The following are the parts of a math expression that do a math operation:
Operands: Operands are the numbers that an operation uses. The terms that are given to the operands vary according to the kind of operation.
Operator: An operator is the symbol that denotes a math operation, such as: division, addition, subtraction, and multiplication.
Given that,
length of wooden plank AB is 252 cm
divides it into four parts by inserting the points C, D and E
parts of plank are AC, CD, DE, EB
CD = 3AC,
DE = 2CD, and
DE = 2(3AC)
DE = 6AC
EB = 4AC
AB = AC + CD + DE + EB
substitute the values we get,
AB = AC + 3AC + 6AC + 4AC
252 = 14AC
AC = 252/14 = 18cm
CD = 3AC = 3(18) = 54 cm
DE = 6AC = 6(18) = 108 cm
EB = 4AC = 4(18) = 72 cm
Hence length of each part is AC = 18 cm, CD = 54 cm, DE = 108 cm, and
EB = 72 cm.
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What is the derivative of f(x)=−3cos(x)+4sin(x) at the point x=π/3? Enter an exact answer.
Answers
The derivative of f(x) =−3cos(x)+4sin(x) at the point x = π/3 is (3√3 + 4)/2.
The derivative of f(x) = -3cos(x) + 4sin(x) at the point x = π/3 can be found by first taking the derivative of the function and then plugging in the given value for x.
The derivative of f(x) is given as f'(x) = 3sin(x) + 4cos(x).
Next, plug in x = π/3 to find the derivative at that point:
f'(π/3) = 3sin(π/3) + 4cos(π/3)
= 3(√3/2) + 4(1/2)
= (3√3 + 4)/2
Therefore, the derivative of f(x) at the point x = π/3 is (3√3 + 4)/2.
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Determine if the graph represents a function.
PLEASE do not give me downloadable images. Just type yes it is a function or no it is not a function. One person gave me an image and it gave me a virus on my computer and started downloading weird stuff.
Answers
Answer:
Yes it is a function.
Step-by-step explanation:
By the way, don't click on any links, there's a bunch of raiders going around sharing links that will give you a virus, if you still have the virus, you should probably factory-reset your device, it could be taking your information.
In this polygon, all angles are right angles.
What is the area of the polygon? Show your work.
Answers
The area of the polygon is solved to be 1044 squared cm
How to find the are of the c]polygonThe area of the composite polygon is solved by dividing the object into two sections. Then adding up the areas
Section 1 has dimensions:
length * width = 46 * 14 = 644
section 2 has dimensions:
length = 46 - 21 = 25
width = 30 - 14 = 16
Area = 25 * 16 = 400
Area of the composite figure
section 1 + section 2
= 644 + 400
= 1044 squared cm
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which of the following would lead you to predict an upward shift in the consumption function?
Answers
Factors such as an increase in disposable income, a decrease in taxes, an increase in consumer confidence, and an increase in wealth can lead to an upward shift in the consumption function.
An increase in disposable income, a decrease in taxes, a decrease in interest rates, or an increase in consumer confidence would lead to an upward shift in the consumption function. These factors would increase consumer spending and shift the consumption function upwards.
To predict an upward shift in the consumption function, consider the following factors:
An increase in disposable income: When people have more disposable income, they are more likely to spend money, leading to an upward shift in the consumption function.
A decrease in taxes: Lower taxes mean more disposable income for consumers, resulting in higher consumption.
An increase in consumer confidence: When consumers feel confident about their economic future, they are more likely to spend money, causing the consumption function to shift upward.
An increase in wealth: When consumers' wealth increases, they are more likely to spend, leading to an upward shift in the consumption function.
In summary, factors such as an increase in disposable income, a decrease in taxes, an increase in consumer confidence, and an increase in wealth can lead to an upward shift in the consumption function.
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If a histogram is right skewed, which will be greater the mean or the median? Type a single word answer in the space
provided, for example if the answer is mode, type mode.
Answers
Answer:
Mean is greater
Step-by-step explanation:
For a skewed distribution, then the tail is longer to one side from the center than to the other. In a right skewed distribution, the tail is longer to the right.
When a distribution is skewed, the mean will be closer to the tail Than the median. Therefore. For a right skewed histogram, the mean is closer to the tail of the histogram and hence closer to the right. Once this happens, values closer to the right of a distribution are higher (number line). Thus the mean will be greater than the median.
Find an equation of the line parallel to y = 3x - 3 and that passes through the point (3, 2)
Answers
The solution is, the equation of a line parallel to y=3x-3 and passing through point (3,2) is y=3x-7.
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
The equation of the given line is,
y=3x-3 ....1
We have to find the equation of a line parallel to y=3x-3 and passing through the point (x1, y1)=(3,2).
The general equation of a line is,
y = mx+c ....2
Here, m is the slope of the line.
Comparing equations (1) and (2), we find that the slope of the line
y=3x-3 is m=3.
The slope of two parallel lines are always equal.
Hence, the slope of a line parallel to the line y=3x-3 is also m=3.
Now, the formula for the point slope form of the equation of a line can be written as,
y - y1 = m (x - x1)
Substitute m=3, x1=3 and y1=2 in the above equation to find the equation of a line parallel to y=3x-3 and passing through point (3,2) is,
y-2 = 3(x - 3)
Therefore, the equation of a line parallel to y=3x-3 and passing through point (3,2) is y=3x-7.
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A bearded old man with flying reindeer flies in a triangular pattern starting at the NorthPole, then directly south to City A on the equator, then straight West to City B which isalso on the equator, and lastly straight North back to the North Pole where he can finallyget some rest.Given that the shape of the Earth can be approximated by spherical geometries, which ofthese is a possible sum of the 3 angles formed by this triangle?
Answers
EXPLANATION :
From the problem, since the Earth can be approximated by spherical geometries, the triangle that we will form is a spherical triangle.
Note that the sum of the angles in a spherical triangle is greater than 180 degrees.
From the options, the only angle that's greater than 180 degrees is 185 degrees.
ANSWER :
D. 185 degrees
Write an equation for the line of fit for this data in the form y=mx+b where x is latitude and y is temperature.
Answers
Answer:
\(y = -x + 115\)
Step-by-step explanation:
Given
See attachment for graph
Required
The equation of best fit
First, we pick two corresponding points on the graph,
We have:
\((x_1,y_1) =(55,60)\)
\((x_2,y_2) =(45,70)\)
Calculate slope (m)
\(m = \frac{y_2 -y_1}{x_2 - x_1}\)
This gives:
\(m = \frac{70 - 60}{45 - 55}\)
\(m = \frac{10}{-10}\)
\(m = -1\)
The equation is the calculated using:
\(y = m(x - x_1) + y_1\)
This gives
\(y = -1(x - 55) + 60\)
Open bracket
\(y = -x + 55 + 60\)
\(y = -x + 115\)
Which of the following is not a benefit of increased physical activity?
Select one:
O a. Sleep Better
O b. Less Energy
O c. Improved Mood
O d. Improved Health
Answers
Answer:Less energy
Step-by-step explanation:Because if you don't have alot of energy in you you'll be tired and cant move that much if that makes since.
Answer is b. Less Energy is not a benefit of increased physical activity.
What is physical activity?Physical activity refers to all movement including during leisure time, for transport to get to and from places, or as part of a person's work.
here, we know that,
not a benefit of increased physical activity is Less Energy.
Because if you don't have a lot of energy in you you'll be tired and cant move that much if that makes since.
Hence, Answer is b. Less Energy is not a benefit of increased physical activity.
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Guys Solve this ASAP ( first one to answer brainlisest)
Answers
Step-by-step explanation:
11.a 11.81318681
11.b 11.8
12. a 144.444444444444
12.b 100
help me please
Given a1 = -7 and d = 1/2", what is the 15th term?I
Answers
Answer:
0
Step-by-step explanation:
a1 is the first term and d is the number it goes up each time so you can just do 14 times 1/2 and add it to -7 so you get 0 for the 15th term
w - 8 > 5.6 ??????????????????????????????????????
Answers
Answer:
IF YOU ARE TRIING TO FOND W IT IS 97
Step-by-step explanation:
Answer:
Step-by-step explanation:
w - 8 > 5. 6
Adding 8 on both sides
w - 8 + 8 > 5.6 + 8
w > 13.6
hope it helps :)