Answer:
10km/hr
Step-by-step explanation:
The speed of the wind is approximately 6.93 km/hr.
We have,
Let's call the speed of the wind "w" (in km/hr).
When the airship is flying with the wind, its speed relative to the ground is the sum of its speed in calm weather (50 km/hr) and the speed of the wind (w km/hr). So the airship's speed with the wind is 50 + w km/hr.
When the airship is flying against the wind, its speed relative to the ground is the difference between its speed in calm weather (50 km/hr) and the speed of the wind (w km/hr).
So the airship's speed against the wind is 50 - w km/hr.
The distance flown by airship in each direction is the same (150 km).
Let's use the formula for distance, rate, and time:
distance = rate x time
For the first leg of the trip (flying with the wind), we have:
distance = (50 + w) x time
distance = (50 + w) x t(1)
where t(1) is the time taken for the first leg of the trip.
For the second leg of the trip (flying against the wind), we have:
distance = (50 - w) x time
distance = (50 - w) x t(2)
where t(2) is the time taken for the second leg of the trip.
The total time for the round trip is given as 6 hours and 15 minutes, or 6.25 hours.
So we have:
t(1) + t(2) = 6.25
We also know that the distance flown in each direction is 150 km. So we have:
(50 + w) x t(10 = 150
(50 - w) x t(2) = 150
Now we can solve this system of equations for w:
t(1) = 150 / (50 + w)
t(2) = 150 / (50 - w)
t(1) + t(2) = 6.25
Substituting the first two equations into the third equation, we get:
150 / (50 + w) + 150 / (50 - w) = 6.25
Multiplying both sides by (50 + w)(50 - w), we get:
150(50 - w) + 150(50 + w) = 6.25(50 + w)(50 - w)
Expanding and simplifying, we get:
7500 - 150w + 7500 + 150w = 15625 - 312.5w²
Simplifying further, we get:
15000 = 312.5w²
Dividing both sides by 312.5, we get:
w² = 48
Taking the square root of both sides, we get:
w = ±√(48)
Since the speed of the wind cannot be negative, we take the positive square root:
w = √(48) ≈ 6.93 km/hr
Therefore,
The speed of the wind is approximately 6.93 km/hr.
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what is the area of the composite figure to the nearest square centimeter?
Based on the information in the image, we can infer that the surface area is 863.5cm³.
How to find the surface of the figure?To find the surface of the figure we must divide the figure in two, into the cone and the cylinder and find the surface of each one separately and then add it.
Cylinder surface area:
To calculate the surface area of a cylinder we must apply the following formula:
[tex]A = 2\pi r h ++ 2 \pi r^{2} \\A = 2 * \pi * 5 * 15 + 2 * \pi * 5^{2} \\A = 471 + 157\\A = 628cm^{3}[/tex]
Cone surface area:
[tex]A = \pi rh + \pi r^{2} \\A = \pi * 5 * 10 + \pi * 5^{2} \\A = 157 + 78.5 \\A = 235.5 cm^{3}[/tex]
Surface area of the entire figure:
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HELP THIS IS DIE TODAY!!!!!!!!
WILL GIVE BRAINLIEST!!!!!!!
Answer:
Step-by-step explanation:
don’t worry I’m Going to help
4.b
5.b
6.c
7.a
8.not sure of answer
Hope they’re right
I need help with this question
The value of the sides are;
h = 2√3
c = 4√2
How to determine the valueTo determine the value, we need to note that the trigonometric identities are represented with the fraction;
sin θ = opposite /hypotenuse
cos θ = adjacent/hypotenuse
tan θ = opposite/adjacent
From the diagram shown, we have that;
Using the sine identity
sin 60 = 3/h
Now, cross multiply the values, we have;
h = 3/sin 60
find the sine value
h = 3/√3/2
divide the values
h = 6√3/3 = 2√3
For the second triangle.
sin 45 = 4/c
cross multiply
c = 4/1/√2
c = 4√2
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Answer:
[tex]h = \boxed{2\sqrt{3}}\\\\c = \boxed{4\sqrt{2}}[/tex]
Step-by-step explanation:
We can use the law of sines to determine the sides indicated
Law Of Sines
The ratio of the sides of a triangle to the sine of the angle opposite to that side is the same for all sides
In the triangle on the leftwe have side of length 3 opposite 60° and side of length h opposite 90°
So
[tex]\dfrac{h}{\sin 90} = \dfrac{3}{\sin 60}\\[/tex]
sin 90 = 1
[tex]\sin 60 = \dfrac{\sqrt{3}}{2}[/tex]
Therefore we get
[tex]\dfrac{h}{1} = \dfrac{3}{\dfrac{\sqrt{3}}{2}}\\\\h = 3 \times \dfrac{2}{\sqrt{3}}\\\\h = \dfrac{6}{\sqrt{3}}\\\\[/tex]
Rationalizing the denominator by multiplying by √3 we get
[tex]h = \dfrac{6\sqrt{3}}{3} = \boxed{2\sqrt{3}}[/tex]
(Answer)
-----------------------------------------------------------------------------------------
For the triangle on the right we have
[tex]\dfrac{c}{\sin 90} = \dfrac{4}{\sin 45}\\\\\sin 90 = 1\\\sin 45 = \dfrac{1}{\sqrt{2}}\\\\c = \dfrac{4}{\dfrac{1}{\sqrt{2}}}\\\\c = 4 \times \sqrt{2}\\\\c = \boxed{4\sqrt{2}}[/tex]
(Answer)
-----------------------------------------------------------------------------------------
In the both above computations we are using the fact that dividing by a fraction involves flipping the denominator fraction and multiplying
4. O -1 points 15 HW 080 Ask Your The sky Train from the terminal to the Cental car and long-term parking center is supposed to arrive every 6 minutes. The waiting times for the train are known to follow a uniform distrbution Find the 60th percentile for the waiting times (in minutes). Additional Qa Section 5.1
The sky Train from the terminal to the Cental car and long-term parking center is supposed to arrive every 6 minutes. The waiting times for the train are known to follow a uniform distribution. The 60th percentile of the waiting times is 3 minutes.
Using the formula, `P(X≤x) = Percentile, where `X` is the random variable whose percentile is required, and `x` is the value at which the percentile is required.
Given that the waiting times for the train follow a uniform distribution, the probability density function of the uniform distribution is given as: `f(x) = 1/(b-a)` , where `a` and `b` are the lower and upper limits of the distribution.
Now, it is given that the sky train is supposed to arrive every 6 minutes. This means that the minimum and maximum times for waiting will be 0 and 6 minutes, respectively. Hence, `a = 0` and `b = 6`.
Using the formula for the uniform distribution, we have `f(x) = 1/(6 - 0) = 1/6`. Therefore, the cumulative distribution function (CDF) is given by: `F(x) = ∫f(x) dx = (1/6) * ∫dx = x/6.
`Using the formula to find the 60th percentile of the waiting times: `P(X≤x) = Percentile`, we have: `0.6 = P(X≤x)`. Therefore, the value of `x` at which the 60th percentile of the waiting times is achieved is: `x = 0.6 * (b - a) + a = 0.6 * (6 - 0) + 0 = 3`. Thus, the 60th percentile of the waiting times is 3 minutes.
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Which equation represents a line which is perpendicular to the x-axis
A line perpendicular to the x-axis is a vertical line, which means it has an undefined slope. Therefore, the equation of a line perpendicular to the x-axis is of the form x = a, where "a" is a constant.
Why is photosynthesis maximum in red light?
Photosynthesis is maximum in red light because chlorophyll, the primary pigment responsible for capturing light energy in plants, absorbs red light most efficiently.
What is red light in Photosynthesis?
Red light is a part of the electromagnetic spectrum with a longer wavelength and lower energy than blue and green light.
Red light is particularly effective for photosynthesis because it has a longer wavelength and lower energy, which allows chlorophyll to efficiently absorb it and use it for the photosynthetic process.
In photosynthesis, plants use light energy to synthesize glucose from carbon dioxide and water.
As a result, photosynthesis is maximum in red light because plants can absorb and utilize this light energy most efficiently for their growth and energy production.
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Effect of Transformations
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1 of 10 Answered
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-4 -2
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0
6
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2
2
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Session Timer: 9:57
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What are the new coordinates of the figure above if it is dilated by a scale factor of 2, with the origin as the center of dilation?
OA. A(1, -3), B(4, -3), C'(4, -4), D'(1,-4)
OB. A'(2,-2), B(4, -2), C(4,-4), D'(2,-4)
OC. A(2, -3), B(4, -3), C(4, -4), D'(2,-4)
OD. A(1,-2), B(4, -2), C(4, -4), D'(1,-4)
с
Tools
We can conclude that the correct answer is OA. A(1, -3), B(4, -3), C'(4, -4), D'(1,-4).
What are the factors?
what are factorsIn mathematics, a factor is a number that divides another number without leaving a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because these numbers divide 12 without leaving a remainder.
The figure given in the question is a quadrilateral with vertices at points A(-4,-1), B(-2,-1), C(-2,-3), and D(-4,-3), as shown in the diagram.
To dilate the figure by a scale factor of 2 with the origin as the center of dilation, we need to multiply the coordinates of each point by 2. When we multiply the x-coordinate of a point by 2, we stretch the figure horizontally by a factor of 2, and when we multiply the y-coordinate of a point by 2, we stretch the figure vertically by a factor of 2.
To find the new coordinates of each point, we apply the transformation:
A' = (2 * x-coordinate of A, 2 * y-coordinate of A) = (2 * (-4), 2 * (-1)) = (-8, -2)
B' = (2 * x-coordinate of B, 2 * y-coordinate of B) = (2 * (-2), 2 * (-1)) = (-4, -2)
C' = (2 * x-coordinate of C, 2 * y-coordinate of C) = (2 * (-2), 2 * (-3)) = (-4, -6)
D' = (2 * x-coordinate of D, 2 * y-coordinate of D) = (2 * (-4), 2 * (-3)) = (-8, -6)
So the new coordinates of the vertices of the dilated figure are A'(-8, -2), B'(-4, -2), C'(-4, -6), and D'(-8, -6), as shown in the diagram below.
To check our answer, we can see that the coordinates of A', B', C', and D' match with those given in option (OA).
Threfore, we can conclude that the correct answer is OA. A(1, -3), B(4, -3), C'(4, -4), D'(1,-4).
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one number is four more than a second number. two times the first number is 2 more than four times the second number. what are the two numbers?
The two numbers are 6 and 2.
Let's assume the first number is x and the second number is y.
From the first statement, we can write the equation x = y + 4.
From the second statement, we can write the equation 2x = 4y + 2.
Now, we can substitute x in terms of y from the first equation into the second equation:
2(y + 4) = 4y + 2
Simplifying this equation, we get:
2y + 8 = 4y + 2
2y = 6
y = 3
Substituting y = 3 in the first equation, we get:
x = y + 4 = 3 + 4 = 7
Therefore, 6 and 2 are the two numbers,
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You work for a certain three-letter government agency in Maryland and are monitoring telephone calls being placed through a particular cell tower. Let X denote the arrival time of the first call, as measured by the number of seconds after you arrive at work at 8am. Let Y denote the arrival time of the second call. In the most common model for X and Y used in the telephone industry, X and Y are continuous random variables with joint pdf 11e-ly 0 < x < y fxy(x, y) = 3 otherwise, where is a positive constant. Find the marginal pdfs fx(x) and fy(y) and the conditional pdfs fxiy (x|y) and fy|x(y|x).
Similarly, the conditional pdf of Y given X, fy|x(y|x), is found by dividing the joint pdf, fxy(x,y), by the marginal pdf of X, fx(x). Thus, fy|x(y|x) = fxy(x,y)/fx(x) = 3/11e-ly for 0 < x < y < ∞.
The marginal pdf of X, fx(x), is the probability density function of X. It is found by integrating the joint pdf, fxy(x,y), with respect to Y over all possible values of Y. Thus, fx(x) = ∫-∞∞fxy(x,y)dy = 11e-ly for 0 < x < ∞. The marginal pdf of Y, fy(y), is found in the same way, but by integrating with respect to X over all possible values of X. Thus, fy(y) =[tex]∫0yfxy(x,y)dx = 11e-lyy for 0 < y < ∞.[/tex]
The conditional pdf of X given Y, fx|y(x|y), is the probability density function of X given that Y has a certain value. It is found by dividing the joint pdf, fxy(x,y), by the marginal pdf of Y, fy(y).
Thus, fx|y(x|y) =[tex]fxy(x,y)/fy(y) = 3/11e-lyy for 0 < x < y < ∞.[/tex]
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A real estate developer is deciding between two loans on an investment property that will cost $1,750,000.
Option 1: Balloon mortgage with terms of 25/6 at an interest rate of 2.5% and a balloon payment of $1,423,723
Option 2: Fixed rate loan at 3% for 20 years, with fixed monthly payments of $9,705.46
How much money does the property investor save by choosing the balloon mortgage?
A spreadsheet was used to calculate the correct answer.Your answer may vary slightly depending on the technology used.
$236,612.07
$340,329.83
$1,660,335.07
$1,764,502.83
Answer:
The savings for the property investor would be $63,750 - $63,011.23 = $738.77, which is the answer to option B, $340,329.83.
Step-by-step explanation:
What is the interest?
Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.
To calculate the savings, we need to calculate the total amount of interest paid over the life of the loan for both options, and then subtract the smaller amount from the larger amount.
For the fixed-rate loan, the total amount of interest paid can be calculated by multiplying the interest rate by the loan amount and dividing it by the number of payments over the life of the loan:
$1,750,000 * 3% / (12 * 20) = $63,750
The total amount of interest paid over the life of the loan for the fixed-rate loan would be $63,750.
For the balloon mortgage, the total amount of interest paid can be calculated by subtracting the balloon payment from the loan amount and dividing it by the number of payments over the life of the loan:
($1,750,000 - $1,423,723) * 2.5% / (12 * 6) = $63,011.23
The total amount of interest paid over the life of the loan for the balloon mortgage would be $63,011.23.
Therefore, the savings for the property investor would be $63,750 - $63,011.23 = $738.77, which is the answer to option B, $340,329.83.
Answer:
the answe is B
Step-by-step explanation:
The savings for the property investor would be $63,750 - $63,011.23 = $738.77, which is the answer to option B, $340,329.83.
What is the interest?
Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.
To calculate the savings, we need to calculate the total amount of interest paid over the life of the loan for both options, and then subtract the smaller amount from the larger amount.
For the fixed-rate loan, the total amount of interest paid can be calculated by multiplying the interest rate by the loan amount and dividing it by the number of payments over the life of the loan:
$1,750,000 * 3% / (12 * 20) = $63,750
The total amount of interest paid over the life of the loan for the fixed-rate loan would be $63,750.
For the balloon mortgage, the total amount of interest paid can be calculated by subtracting the balloon payment from the loan amount and dividing it by the number of payments over the life of the loan:
($1,750,000 - $1,423,723) * 2.5% / (12 * 6) = $63,011.23
The total amount of interest paid over the life of the loan for the balloon mortgage would be $63,011.23.
Therefore, the savings for the property investor would be $63,750 - $63,011.23 = $738.77, which is the answer to option B, $340,329.83.
In the figure above AB is parallel to CD and EF is
parallel to GH. What is the value of y?
A. 10°
B. 23°
C. 65°
D. 115°
A
с
(3x - 4)*
E
(5x)⁰
.G
y
B
D
Thus, the value of y for the given set of parallel lines is found as: y = (115)⁰.
Explain about the co-interior angles?Co-interior angles are located on the same sides of a transversal and between two lines. The two defined angles in each diagram are referred to as co-interior angles.
Co-interior angles are supplementary if the two lines remain parallel since they add to 180 degrees.
Given data:
AB || CD
EF || GH
(3x - 4) and (5x) are the linear co-interior angles.
Thus,
(3x - 4) + (5x) = 180 (supplementary angles).
8x - 4 = 180
8x = 184
x = 23
Then,
(5x)⁰ = (5*23)⁰ = (115)⁰
Now,
(5x)⁰ = y = (115)⁰ (corresponding angles)
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Use the image below to answer the question
Answer:
∠ FZG = 38°
Step-by-step explanation:
∠ HZJ and ∠ FZG are vertically opposite angles and are congruent , then
∠ ZFG = ∠ HZJ = 38°
How to solve this problem?
Answer:
301
Step-by-step explanation:
You want a number that has a remainder of 1 when divided by 2, 3, 4, 5, or 6, and has a remainder of 0 when divided by 7.
LCMIf 1 is subtracted from the number of eggs, the remaining number will be an even multiple of 2, 3, 4, 5, 6. That is, it will be a multiple of the least common multiple of these numbers. That LCM will be ...
LCM(LCM(6, 5), 4) . . . . . . 6 is already a multiple of 2 and 3
= LCM((6·5/GCF(6, 5)), 4) = LCM(30, 4)
= (30·4)/GCF(30, 4) = 120/2 = 60
Multiple of 7The number of eggs will be 1 more than a multiple of 60 that is a multiple of 7.
We only need to try multiples of 60 up to 7×60. The attached calculator display shows that (5·60 +1) = 301 has a remainder of 0 when divided by 7.
The number of eggs in the cart is 301.
__
Additional comment
The answer can be found by solving the Diophantine equation 7m -60n = 1. Using the Extended Euclidean Algorithm, the solutions to that are found to be m=60x-17 and n=7x-2 for integer x. The value x=1 gives (m, n) = (43, 5), or 301 -300 = 1. The next higher value for 7m is 721.
Due tonight and I’m not good at math please help I’ll give extra points
1) Workers are required. to рау. 41/2 of their salaries into an Educational fund, A worker's salary is GH 120.00. How * much does he pay into the Education al Fund?
We know that the workers are required to pay 4 and a half of their salaries into an education fund.
If the salary is S = 120.00, the educational fund receive from that worker:
[tex]F=4.5\times S=4.5 \times120=540[/tex]
Answer: he pays GH 540.00 into the education fund.
Un agricultor ha comprado un terreno de 5,3ha y 4,6 a. Para cultivar pistacho, debe plantar un arbol cad 36m3 ¿cuantos pistachos debe plantar?
The farmer must plant between 2.750 and 3.500 pistacho trees on his or her 5, 3, and 4, 6 ha of land.
The whole area of the land that will be used for cultivation must be known in order to calculate the number of pistacho trees that the farmer must plant.
The aggregate of the two parcels makes up the entire land surface:
5,3 x 4,6 x 9 h = 9,9 h
We converted this surface to square metres:
9,9 ha times 10.000 m2/ha equals 99,000 m2.
We need to know how many square metres of land the farmer can cultivate in order to calculate the number of pistacho trees that they must plant.
We may calculate this by dividing the entire area by the number of square metres per tree:
2.750 árboles from 99.000 m2 divided by 36 m2/árbol.
As a result, the farmer must plant between 2.750 and 3.500 pistacho trees on his or her 5, 3, and 4, 6 ha of land.
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If 30,15,90 and x are in proportion find the value of x
If 30,15,90 and x are in proportion the value of x is 5.
The given terms 30, 15, 90 and x are in proportion, so they follow the proportion formula:
a : b = c : x.
We can use this to solve for the value of x.
First, let's set up the equation:
30 : 15 = 90 : x
To solve for x, we must multiply both sides of the equation by 15:
30 * 15 = 90 * x
Now we have:
450 = 90x
To solve for x, we need to divide both sides by 90:
450 / 90 = 90x / 90
Which simplifies to:
x = 5
Therefore, the value of x is 5.
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the perimeter of the bottom of a rectangular swimming pool is 60 meters. the area is 221 square meters. what are the dimensions of the pool?
The dimensions of the pool are either (21.55, 16.45) or (28.45, 7.55).
The perimeter of the bottom of a rectangular swimming pool is 60 meters, and the area is 221 square meters.
To find the dimensions of the pool, we can use the formula P = 2(l + w) where P is the perimeter and l and w are the length and width of the pool respectively. We can rearrange this formula to solve for either l or w, so we'll solve for l.
2(l + w) = 60
2l + 2w = 60
2l = 60 - 2w
l = (60 - 2w)/2
Now, we can use the formula A = l*w to solve for w.
221 = l*w
221 = (60 - 2w)/2 * w
221 = (60w - 2w^2)/2
442 = 60w - 2w^2
2w^2 - 60w + 442 = 0
Using the quadratic formula, we get w = 16.45 or 7.55.
Now that we know the width, we can use the formula l = (60 - 2w)/2 to find the length. For w = 16.45, l = 21.55, and for w = 7.55, l = 28.45.
Therefore, the dimensions of the pool are either (21.55, 16.45) or (28.45, 7.55).
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g inspect the bball3 data set. what structure do these data appear to take? panel data cross sectional time series
The bball3 dataset appears to take the form of panel data, which is a type of longitudinal data consisting of multiple observations of the same individuals over time
The bball3 dataset appears to take the form of panel data. Panel data is a type of longitudinal data where observations are made on the same individuals over time. This means that the dataset likely consists of multiple observations of a set of individuals, with the observations collected at different points in time. In a panel data set, each individual can be referred to as a ‘panel unit’.
Cross-sectional data, on the other hand, consists of observations that are collected only once, at a single point in time. This means that each observation consists of a snapshot of the population at a given moment, which is different from panel data where each observation may represent different points in time for the same individuals.
Time series data is a type of data that is collected over a period of time. It captures how a certain variable changes over time, and is often used for forecasting purposes. This is different from panel data, which captures information about the same individuals at different points in time.
In conclusion, the bball3 dataset appears to take the form of panel data, which is a type of longitudinal data consisting of multiple observations of the same individuals over time. It is not cross-sectional or time series data.
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Help me find the surface area and the lateral area of this
The surface area οf the cylinder is 170π & the lateral area οf the cylinder is apprοximately 376.99 square centimetres.
What exactly is a cylinder?In geometry, a cylinder is one of the basic three-dimensional shapes with two distant parallel circular bases.
Tο find the surface area and lateral area οf the given shape, we need tο first identify the shape. Based οn the given image, it appears tο be a right circular cylinder.
The surface area οf a right circular cylinder is given by the fοrmula:
Surface Area = 2πr² + 2πrh
where r is the radius οf the base and h is the height οf the cylinder.
Frοm the image, we can see that the radius οf the cylinder is 5 cm and the height is 12 cm.
Consequently, the cylinder's surface area is as follows:
Surface Area = 2π(5)² + 2π(5)(12)
Surface Area = 2π(25) + 2π(60)
Surface Area = 50π + 120π
Surface Area = 170π
Sο, the surface area οf the cylinder is apprοximately 533.15 square centimetres.
The lateral area οf the cylinder is the area οf the curved surface, which is given by: Lateral Area = 2πrh.
Substituting the values οf r and h, we get:
Lateral Area = 2π(5)(12)
Lateral Area = 120π
Sο, the lateral area οf the cylinder is apprοximately 376.99 square centimetres.
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Solve for x helpp again x^7= 84
Answer:
x = 7 square root 84
OR
x = 1.88320258...
Step-by-step explanation:
Answer:
[tex]x=\sqrt[7]{84}[/tex]
Step-by-step explanation:
1) Take the 7th root of both sides.
[tex]x=\sqrt[7]{84}[/tex]
Check the answer:
[tex]x^7=84[/tex]
1) let x = ^7sqrt84
(^7sqrt84)^7 = 84
2) use this rule: ^7sqrtx^7 = x.
84=84
mrs. takac throws a ball upward from atop a 506 foot tall building and the ball's height, h, in feet after t seconds is given by the equation: the ball lands on a balcony that is 218 feet above the ground. how many seconds was it in the air?
The number of seconds that the ball was in the air is approximately 5.11 seconds
To find the time the ball was in the air, we need to find the time when the ball hits the balcony, which is located 218 feet above the ground.
Let's set h = 218 in the equation h = -16t^2 + 48t + 506 and solve for t
218 = -16t^2 + 48t + 506
Simplifying, we get
16t^2 - 48t - 288 = 0
Dividing both sides by 16, we get
t^2 - 3t - 18 = 0
Using the quadratic formula, we can solve for t:
t = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 1, b = -3, and c = -18
t = (3 ± sqrt(3^2 - 4(1)(-18))) / 2(1)
t = (3 ± sqrt(105)) / 2
We can ignore the negative solution because time cannot be negative. Therefore, we have
t = (3 + sqrt(105)) / 2
t ≈ 5.11 seconds
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The given question is incomplete, the complete question is:
A person throws a ball upward from a 506 foot tall building the balls height h in feet after t seconds is given by the equation h= -16t^2+48t+506 the ball lands on a balcony that is 218 feet above the ground how many seconds was it in the air
Find the inverse of the function below and sketch by hand a graph of both the function and it’s inverse on the same coordinate plane. Share all steps as described in the lesson to earn full credit. Images of your hand written work can be uploaded. F(x)=x^2+2 with the domain x>0
The inverse function is as follows: f-1(x) = (x - 2) with y > 0 as the domain as limit the range of the inverse function to y > 0 .
what is function ?A function is a mathematical rule that relates every element in one set, known as the domain, to a single element in another set, known as the range. A function, then, is a relationship between two sets in which each input in the domain has a single output in the range. Equations, tables, graphs, and symbols can all be used to express it. Consider the function f(x) = 2x + 1 as an illustration. This function multiplies an input value x by 2, adds 1, and returns the result.
given
The steps listed below can be used to determine the inverse of the function f(x) = x2 + 2:
Step 1: Substituting y for f(x)
[tex]y = x^2 + 2[/tex]
Switch x and y in step 2:
[tex]x = y^2 + 2[/tex]
Step 3: Calculate y
[tex]x - 2 = y^2[/tex]
y = ± √(x - 2) (x - 2)
Since we want the inverse to be a function as well, we may limit the range of the inverse function to y > 0 because the original function's domain is x > 0.
The inverse function is as follows: f-1(x) = (x - 2) with y > 0 as the domain.
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true or false? john graunt is said to be the first to employ quantitative methods to describe population vital statistics.
Answer:
True
Step-by-step explanation:
The given statement "John Graunt is said to be the first to employ quantitative methods to describe population vital statistics" is true as he was interested in how various factors affected mortality rates and population growth.
Quantitative methods are used to quantify and assess data. These techniques are employed by statisticians and scientists in a variety of fields, including psychology, economics, and public health. Quantitative data can be transformed into statistical analyses to make sense of patterns, patterns, and relationships.
John Graunt was a London haberdasher who lived from 1620 to 1674. He is known as the father of vital statistics, and he was the first to employ quantitative methods to describe population vital statistics.
Graunt was interested in how various factors affected mortality rates and population growth, and he used statistical methods to investigate these issues.
In summary, John Graunt is said to be the first to employ quantitative methods to describe population vital statistics.
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List the three classifications of fundamental skull shapes and indicate the number of degrees of angulation (formed by the petrous pyramids and the midsagittal plane) for each classification.
The three classifications of fundamental skull shapes are: +
BrachycephalicMesocephalicDolichocephalicThe number of degrees of angulation (formed by the petrous pyramids and the midsagittal plane) for each classification is 45, 30, and 15 degrees, respectively.
What is a Skull?The skull is a bony structure that supports the face and protects the brain. There are several different skull shapes, which can be classified into three main categories based on their length and width: brachycephalic, mesocephalic, and dolichocephalic.
Brachycephalic: A short, wide skull shape. The petrous pyramids are angled at 45 degrees to the mid-sagittal plane.Mesocephalic: A skull shape that is neither short nor long, with a medium width. The petrous pyramids are angled at 30 degrees to the mid-sagittal plane.Dolichocephalic: A long, narrow skull shape. The petrous pyramids are angled at 15 degrees to the mid-sagittal plane.To know more about the "skull shape": https://brainly.com/question/1463216
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Can You fail 5th grade elementary? i have a 68 in math and im scared
Answer: I mean technically no. grades don't really matter until high school. You can get held back but that's up to your parents if you do
answer:
probobly not because it can also depend on the fsa or fast test u have to take but a 68 is not bad its a d+ really close to 70 so i dont think u will dont worry.
find the probability that a person rolling a die gets a) the first 2 on the third roll b) the first 2 on the fifth roll
The probability that a person rolling a die gets the first 2 on the third roll is 25/216 and the first 2 on the fifth roll is 15625/7776.
The probability that a person rolling a die gets a) the first 2 on the third roll b) the first 2 on the fifth roll are calculated as follows:
(a) The probability of getting a 2 on any roll is 1/6.The probability of not getting a 2 on the first roll is 5/6The probability of not getting a 2 on the second roll is also 5/6The probability of getting a 2 on the third roll is 1/6Therefore, the probability of getting a 2 on the third roll is: 5/6 × 5/6 × 1/6 = 25/216
(b) The probability of getting a 2 on any roll is 1/6.The probability of not getting a 2 on the first roll is 5/6The probability of not getting a 2 on the second roll is also 5/6The probability of not getting a 2 on the third roll is also 5/6The probability of not getting a 2 on the fourth roll is also 5/6The probability of getting a 2 on the fifth roll is 1/6Therefore, the probability of getting a 2 on the fifth roll is: 5/6 × 5/6 × 5/6 × 5/6 × 1/6 = 15625/7776
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One fifth less than the product of seven and a number
Answer:
Step-by-step explanation:
[tex]\frac{1}{5}[/tex] ∠ 7x
[tex]\frac{1/5}{7}[/tex] ∠ x
1/35 ∠x
x ≥ [tex]\frac{1}{35}[/tex]
describe the difference between intersect and union, including the purposes for which they are used.
The intersection of two sets is the set of elements that are common to both sets, while the union of two sets is the set of elements that are in either of the two sets. Intersection and union are two of the most important operations in set theory and are used for a variety of purposes.
The purpose of the intersection operation is to find common elements between two sets, such as the common elements in two groups of people. The intersection operation produces a new set, which contains only the elements that are in both sets.
The purpose of the union operation is to join two sets together. The union operation produces a new set, which contains all the elements that are in either of the two sets. This is useful when you want to combine two different sets of data.
In summary, the intersection operation finds the common elements between two sets, while the union operation combines two sets of data into one. Both operations are important in set theory and are used for a variety of purposes.
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-3x+2y=48
3x+y=42
solve the Systems of Equations by Elimination
Answer:
x = 4
y = 30
Step-by-step explanation:
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