Answer:
n/r
Step-by-step explanation:
TAN, or tangent, is the opposite side over the alternate (next to) side.
To find Tan N, you need to find the side opposite to N (n), over the side next to N (r). Put those into a fraction and you get your answer:
n/r
Hope this helps!
Answer:
I believe it is \(\frac{r}{n}\)
Step-by-step explanation:
Please help me with this :)))
Answer:
Transitive
Step-by-step explanation:
Is there any surjective linear map L : R2 → R3? Why? (If yes, find an example. Otherwise, explain why it is not possible.)
Yes, there exist surjective linear maps from R2 (two-dimensional real space) to R3 (three-dimensional real space). An example of such a map is provided by extending the dimensions of the input vector.
A linear map is defined as surjective if it covers the entire target space.
In this case, we are considering linear maps from R2 to R3, which means we need to find a transformation that maps every vector in R2 to a unique vector in R3.
To construct a surjective linear map, we can extend the dimensions of the input vector in order to match the dimensions of the output vector.
One possible example is the map L: R2 → R3 defined by L(x, y) = (x, y, 0), where (x, y) is a vector in R2 and (x, y, 0) is the corresponding vector in R3.
This linear map takes a two-dimensional vector and adds a zero in the third component, effectively embedding R2 within R3 as a plane parallel to the xy-plane.
Since every point in R3 can be reached by extending a point in R2, this map covers the entire target space and is therefore surjective.
In conclusion, there exist surjective linear maps from R2 to R3, and an example is given by extending the dimensions of the input vector.
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You are constructing a 90% confidence interval for the difference of means from simple random samples from two independent populations. The sample sizes are = 6 and = 14. You draw dot plots of the samples to check the normality condition for two-sample t-procedures. Which of the following descriptions of those dot plots would suggest that it is safe to use t-procedures?
I. The dot plot of sample 1 is roughly symmetric, while the dot plot of sample 2 is moderately skewed left. There are no outliers.
II. Both dot plots are roughly symmetric. Sample 2 has an outlier.
III. Both dot plots are strongly skewed to the right. There are no outliers.
A) I only
B) II only
C) I and II
D) I, II, and III
E) t-procedures are not recommended in any of these cases.
A) I only . In order to use t-procedures for constructing a confidence interval, the samples should be approximately normally distributed.
Option I suggests that one sample is roughly symmetric and the other is moderately skewed left, but there are no outliers. This suggests that the normality condition may be met and t-procedures can be used. Option II indicates that both samples are roughly symmetric, but one sample has an outlier. This may violate the assumption of normality and t-procedures may not be appropriate.
Option III suggests that both samples are strongly skewed to the right, which also violates the normality assumption and t-procedures are not recommended.
Therefore, the correct answer is A) I only.
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TRUE/FALSE. the percentile rank identifies the percentile of a particular value within a set of data.
The answer is True, the percentile rank identifies the percentile of a particular value within a set of data.
The percentile rank is a measure that identifies the percentage of scores in a distribution that are equal to or lower than a given score. It is calculated by dividing the number of scores that are equal to or lower than the given score by the total number of scores in the distribution, and multiplying the result by 100 to obtain a percentage. The percentile rank can be used to compare individual scores to the rest of the distribution, and can provide useful information about the relative standing of a score within a particular group or population. Therefore, it is true that the percentile rank identifies the percentile of a particular value within a set of data.
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Write as an algebraic expression: the difference of 27 and 5
The algebraic expression of the statement given as the difference of 27 and 5 is 27 - 5
How to write the statement as an algebraic expression?The statement is given as:
the difference of 27 and 5
Difference means minus.
The minus sign is represented as -
This means that the statement given as: the difference of 27 and 5
Can be represented as
27 minus 5
So, have
27 - 5
Hence, the algebraic expression of the statement given as the difference of 27 and 5 is 27 - 5
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what is the answer to number 2 at the top?
The equation of the transformed exponential function g(x) is g(x) = 2^-x - 1
Writing an exponential function for the graph of g(x)From the question, we have the following parameters that can be used in our computation:
Parent function: y = 2^x
The graph of the transformed exponential function g(x) passes through the points (-2,3), (-1,1), (0,0), (1,-0.5) and (2, -0.75)
So, we have the following transformation steps:
1st Transformation:
Reflect y = 2^x across the y-axis
So, we have
y = 2^-x
2nd Transformation:
Translate y = 2^-x down by 1 unit
So, we have
y = 2^-x - 1
This means that
g(x) = 2^-x - 1
Hence, the equation of the function g(x) is g(x) = 2^-x - 1
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Rachana has a set of ten mugs the set up is made of 3 different mugs
If Rachana randomly selects two mugs from the set, the probability that she gets two different mugs is 0.1556 or 15.56%.
To solve this problem, we can use the concept of combinations. Since there are 10 mugs in the set, there are 10 choose 2 = 45 ways to select two mugs without considering order.
Out of these 45 ways, we need to count the number of ways Rachana can select two different mugs. Since there are 3 different types of mugs, Rachana can choose any one of the three types for the first mug. There are 10 mugs in the set, out of which 3 belong to the chosen type. Therefore, the probability of choosing a mug of the chosen type is 3/10.
For the second mug, Rachana can choose from the remaining 9 mugs. Since she needs to choose a different type of mug, she can choose any one of the 2 remaining types. There are 7 mugs left from the other 2 types. Therefore, the probability of choosing a mug of a different type is (7/9) * 2/3 = 14/27.
Therefore, the probability of selecting two different mugs is the product of the probabilities of selecting a mug of the chosen type and a mug of a different type. This is given by (3/10) * (14/27) = 7/45, which is approximately 0.1556 or 15.56%.
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Complete question is:
Rachana has a set of ten mugs the set up is made of 3 different mugs. If Rachana randomly selects two mugs from the set, what is the probability that she gets two different mugs?
A bicycle shop charges customs $20 plus $4.50 per hour to rent a bicycle. Rylie paid $47 to rent a bicycle. For how many hours did Rylie rent the bicycle?
a) 5 hours
b) 6 hours
c) 7 hours
d) 8 hours
what is the answer to 1.3a=9
30 POINTS SEND ASAP OR I WONT SEE IT! Do both
Answer:
ITS "B"
Step-by-step explanation:
a sphere of ice cream is placed onto your ice cream cone. both have a diameter of 8 cm. the height of your cone is 12 cm. if you push the ice cream into the cone, will all of it fit? volume of ice cream
The sphere of ice cream with a diameter of 8 cm will not fit entirely into the ice cream cone with a height of 12 cm.
The volume of the sphere can be calculated using the formula V = (4/3)πr³, where r is the radius of the sphere. As the diameter of the sphere is 8 cm, the radius will be 4 cm. Substituting the value of r in the formula, we get V = (4/3)π(4)³ = 268.08 cubic cm.
Now, the volume of the cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone. As the diameter of the cone is also 8 cm, the radius will be 4 cm. Substituting the values of r and h, we get V = (1/3)π(4)²(12) = 160.8 cubic cm.
Since the volume of the sphere is greater than the volume of the cone, the sphere will not fit entirely into the cone. However, some part of the sphere will fit into the cone, and the remaining part will overflow.
Therefore, the ice cream will not entirely fit into the cone.
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Calcule as potências a) (-5)⁴ b) (+2)⁶ c)(+12)² d)(+15)¹ e) (-1)²⁰ f) (-4)⁵ g)(-15)⁰ h) (-2)⁷ i) (+15)⁰ j) (+15)¹ k) (+15)² l) (-15)² mim ajudemmmm
Answer:
Follows are the solution to the given points:
Step-by-step explanation:\(a) \ \ (-5)^4 = -5 \times -5 \times -5 \times -5 =-625 \\\\ b) \ \ (+2)^6= 2 \times2 \times2 \times2 \times2 \times2 =64 \\\\ c)\ \ (+12)^2 = 12 \times 12 = 144 \\\\ d)\ \ (+15)^1= 15 \\\\ e)\ \ (-1)^{20} = -1 \times -1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1\times-1= 1\)
\(\\\\ f) \ \ (-4)^5 =-4 \times -4 \times-4 \times-4 \times-4 =-1024\\\\ g)\ \ (-15)^0= 1 \\\\ h) \ \ (-2)^7= -2 \times-2 \times-2 \times-2 \times-2 \times-2 \times-2 =-128 \\\\ i) \ \ (+15)^{0}=1 \\\\ j)\ \ (+15)^1 =15\\\\ k)\ \ (+15)^2 = 15 \times 15=225\\\\ l)\ \ (-15)^2= -15 \times -15=225\)
solve the equation H
\(p-5(p+4) = p-(8-p)\\\\\implies p-5p - 20 = p-8+p\\\\\implies -4p-2p = 20 -8 \\\\\implies -6p = 12 \\\\\implies p = -2\)
HELP QUICK! NO BOTS!
Answer:I'm pretty sure it's A
Step-by-step explanation:
El peso promedio de 500 árboles de un vivero es de 70kg y la desviación estándar de 3kg. Suponiendo que los pesos se distribuyen normalmente, encontrar CUANTOS arboles pesan: a) Entre 60 y 75 kg b) Más de 90kg c) Menos de 64kg. D) 64 Kg
Answer:
Step-by-step explanation:
Resolvemos usando la fórmula de puntuación z
z = (x-μ) / σ, donde
x es la puntuación bruta
μ es la media poblacional = 70 kg
σ es la desviación estándar de la población = 3 kg
a) Entre 60 y 75 kg
Para x= 60kg
z = 60 - 70/3 kg
=-3.33333
Valor de probabilidad de la tabla Z:
P(x = 60) = 0.00042906
Para x = 75 kg
z = 75 - 70/3 kg
= 1.66667
Valor de probabilidad de la tabla Z:
P(x = 75) = 0.95221
P(x = 75) - P(60)
0.95221 - 0.00042906
b) Más de 90 kg
Para x> 90 kg
z = 90 - 70/3
= 6.66667
Valor de probabilidad de la tabla Z:
P (x <90) = 1
P (x> 90) = 1 - P (x <90) = 0
Número de árboles = 500
Por tanto, 500 × 0 = 0 árboles
c) Menos de 64 kg
x <64 kg
z = 64 - 70/3 kg
= -2
Valor de probabilidad de Z-Table:
P (x <64) = 0,02275
Hay 500 arboles
= 500 × 0.02275
= 11.375 árboles
D) 64 kilogramos
x = 64 kg
z = 64 - 70/3 kg
= -2
Valor de probabilidad de Z-Table:
P (x = 64) = 0,02275
Hay 500 arboles
= 500 × 0.02275
= 11.375 árboles
the heights of a maple tree and a cherry tree currently have a ratio of 5:2. if the maple tree grew 20 centimeters, and 20 centimeters was cut off the top of the cherry tree, the ratio of their heights would be 3:1. before this change, how much taller was the maple tree than the cherry tree, in centimeters?
Before the change maple tree was 240 cm longer than cherry tree when the heights of a maple tree and a cherry tree currently have a ratio of 5:2. if the maple tree grew 20 centimeters, and 20 centimeters was cut off the top of the cherry tree, the ratio of their heights would be 3:1.
Define ratio.One quantity can be expressed as a fraction of another using a ratio, which is a number. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given,
Current ratio = 5:2
Let y equal the height of the cherry tree, and x represent the height of a maple tree.
x/y = 5/2
New ratio = 3:1
x+20/y-20 = 3/1
Cross multiplying,
x + 20 = 3(y - 20)
x = 3(y - 20) -20
Equating values in x/y = 5/2
3(y-20) - 20/y = 5/2
5y = 2(3y - 60) -20
5y = 6y - 160
y = 160
Now, for value of x,
Equating values in x = 3(y - 20) -20
x = 3(160 - 20) - 20
x = 480 - 60 - 20
x = 400
For the height,
400 - 160
240
Before the change maple tree was 240 cm longer than cherry tree when the heights of a maple tree and a cherry tree currently have a ratio of 5:2. if the maple tree grew 20 centimeters, and 20 centimeters was cut off the top of the cherry tree, the ratio of their heights would be 3:1.
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pls help asap if you can!!!!
The statement that proves that angle XWY is equal to angle ZYW is
A. If two parallels are cut by a transverse, then alternate interior angles are congruent
What are alternate interior anglesAlternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.
When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.
In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles
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What is the vertical shift of the function y = 3x - 8
Answer:
8
-3
___
y
Step-by-step explanation:
Help pls (8grade math)
Answer:
It's D. (1,-2)
Step-by-step explanation:
Answer:
The answer is B: (-1, 2)
Step-by-step explanation:
Imagine a mirror is placed along the y-axis.
Since a reflection is applied, the mirror coordinates would be the opposite of the original coordinates, just like a mirror is opposite of what you see when you look into it.
Original coordinates: (1, 2)
Mirror coordinates: (-1, 2)
simplify
(8p^6)^1/3
simplifyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Answer:
\(2p^2\)
Step-by-step explanation:
Step 1: Apply the exponentiation property:
\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)
Step 2: Simplify the cube root of 8:
The cube root of 8 is 2:
\(8^\frac{1}{3} =2\)
Step 3: Simplify the cube root of \((p^6)\):
The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)
Step 4: Combine the simplified terms:
\(2 * p^2\)
So, the simplified expression is \(2p^2\).
3721nm equals how many m
Answer:
0.000003721m
Scientific Notation: 3.72*10^-6
Step-by-step explanation:
1nm is 1*10^-6nm
Based on that we find the answer above.
Determine the x- and y-intercepts of the graph of x+2y=−4 .
Then plot the intercepts to graph the equation. Plzzz help
Answer: graph is in picture
Graph the line using the slope and y-intercept, or two points
Slope: −1/2
x y
0. −2
2. −3
—————-————————————
the x- and y-intercepts :
x-intercept(s): (−4, 0)
y-intercept(s): (0, −2)
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
From the following list, choose the random variables that are continuous. Select all that apply:
The tire pressure of a tire on a randomly selected automobile.
The amount of time a light bulb lasts.
The number of students attending a lecture.
The number of clubs in a poker hand.
Random variables that are continuous are A and B, random variables that are discrete are C and D.
Describe Probability?Probability is a measure of the likelihood or chance of an event occurring. It is a fundamental concept in mathematics, statistics, and many other fields, and it is used to model and analyze uncertainty and randomness.
The probability of an event is a number between 0 and 1, where 0 represents impossibility and 1 represents certainty. If an event has a probability of 0.5, for example, it means that there is a 50% chance of the event occurring and a 50% chance of it not occurring.
The random variables that are continuous are:
The tire pressure of a tire on a randomly selected automobileThe amount of time a light bulb lastsThe random variables that are discrete are:
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HELP PLS
Comparing irrational numbers with calculator
Compare.
Answer:
3 2/3 is greater
Step-by-step explanation:
3 2/3 is 3.6666 while √11 is 3.32
If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure? Figure is composed of a right square pyramid on top of a square prism. The sides of the square pyramid are equal to the sides of the square prism, the length and width of the square prism is w, the height of the square prism is x, and the height of the square pyramid, which forms a right angle with the center, is y.
Answer:
720 sq units.
Step-by-step explanation:
Length and width of square prism, w = 12 units
Height of square prism, x = 7 units
Height of square pyramid, y = 8 units
Please have a look at the attached image.
Here 2 Surfaces will not be exposed which are base of the square pyramid and the top of the square prism i.e. 2 square surfaces will not be exposed.
Here, surface area of the composite figure will be:
Surface Area of Composite Figure = Lateral surface area of Square Pyramid + Surface Area of 5 surfaces of the square prism
For finding the lateral surface area of pyramid, we need to find the slant height of the pyramid.
Let slant height be \(l\) units.
Using pythagoras theorem, we can find out the value of \(l\).
As per theorem:
\(Hypotenuse^{2} = Base^{2} + Height^{2}\\\)
\(\Rightarrow l^{2} = (\dfrac{w}{2})^{2} + y^{2}\\\Rightarrow l^{2} = (\dfrac{12}{2})^{2} + 8^{2}\\\Rightarrow l^{2} = {6}^{2} + 8^{2}\\\Rightarrow l^{2} = 36+64 = 100\\\Rightarrow l = 10\ units\)
Lateral surface area of square prism = 4 \(\times\) Area of triangular surface
\(\Rightarrow 4 \times \dfrac{1}{2}\times Base \times Slant\ Height\\\Rightarrow 4 \times \dfrac{1}{2} \times 10 \times 12\\\Rightarrow 240\ sq\ units\)
Surface Area of 5 surfaces of the square prism =
\(4 \times x \times w + w^2\\\Rightarrow 4 \times 12 \times 7 + 12^2\\\Rightarrow 336 +144\\\Rightarrow 480\ sq\ units\)
So, total surface area of composite figure:
240 + 480 = 720 sq units.
Answer:
B 720 units2
Step-by-step explanation:
A line is to be graphed through the point
(–3, 0).
A coordinate plane with a point at (negative 3, 0).
Which points can be used to create a line with an undefined slope through (–3, 0)? Check all that apply.
(–5, –3)
(–3, –6)
(–3, 2)
(–1, 0)
(0, –3)
(3, 0)
Answer:
B and C
Step-by-step explanation:
Answer:
B/C
Step-by-step explanation:
i just did it :)
2х + Зу = 13
4х – у = -2
Solve the equation
Answer:
The answer to equation is ( 1/2, 4 )
Quadrilateral DEFG is similar to quadrilateral HIJK. Find the measure of side JK.
Round your answer to the nearest tenth if necessary.
G
47
D
Ancwor
24
F
E
K
12
H
J
Answer:
Step-by-step explanation:
you get lm
The measure of the side JK is 6.1 unit.
What is a quadrilateral?A quadrilateral in geometry is a four-sided polygon with four edges and four corners.
Given:
Quadrilateral DEFG is similar to quadrilateral HIJK.
To find the measure of side JK:
So,
GD / KH = GF / KJ
47/12 = 24 / KJ
Applying cross multiplication,
KJ = 24 x 12 / 47
KJ = 288/47
KJ = 6.12
KJ = 6.1 to then nearest tenth.
Therefore, the measure of KJ is 6.1.
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Consider the following vector field.
F(x, y, z) =
9ex sin(y), 2ey sin(z), 8ez
sin(x)
(a)
Find the curl of the vector field.
curl(F) =
(b)
Find the divergence of the vector field.
div(F) =
The curl of the vector field
curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k
The divergence of the vector field
div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z
To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.
(a) Curl of F:
The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:
curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k
In this case, we have:
P(x, y, z) = 9ex sin(y)
Q(x, y, z) = 2ey sin(z)
R(x, y, z) = 8ez sin(x)
Taking the partial derivatives, we get:
∂P/∂y = 9ex cos(y)
∂Q/∂z = 2ey cos(z)
∂R/∂x = 8ez cos(x)
∂R/∂y = 0 (no y-dependence in R)
∂Q/∂x = 0 (no x-dependence in Q)
∂P/∂z = 0 (no z-dependence in P)
Substituting these values into the curl formula, we have:
curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k
= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k
Therefore, the curl of the vector field F is given by:
curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k
(b) Divergence of F:
The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:
div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z
In this case, we have:
∂P/∂x = 9e^x sin(y)
∂Q/∂y = 2e^y sin(z)
∂R/∂z = 8e^z
Substituting these values into the divergence formula, we have:
div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z
Therefore, the divergence of the vector field F is given by:
div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z
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If z is directly proportional to the product of x and y and if z is 10 when x is 4 and y is 5, then x, y, and z are related by the equation
The equation relating x, y, and z is:
z = 0.5 * x * y.
In the given problem, the relationship between x, y, and z can be expressed by the equation z = k * x * y, where k represents the constant of proportionality. By substituting the values of x = 4 and y = 5, when z is equal to 10, we can determine the value of the constant of proportionality, k, and further define the relationship between the variables.
To find the constant of proportionality, we substitute the known values of x = 4, y = 5, and z = 10 into the equation z = k * x * y. This gives us the equation 10 = k * 4 * 5. By simplifying the equation, we have 10 = 20k. To isolate k, we divide both sides of the equation by 20, resulting in k = 0.5. Therefore, the equation relating x, y, and z is z = 0.5 * x * y, meaning that z is directly proportional to the product of x and y with a constant of proportionality equal to 0.5.
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