Answer:
Question: Mt. Everest, the highest elevation in Asia, is 29,028 feet above sea level. The Dead Sea, the lowest elevation, is 1,312 feet below sea level.
While walking past a flag pole, Tommy looked down and noticed his shadow. Use the diagram below to
find the length of his shadow.
PLS HELP
Answer: 30ft
Step-by-step explanation:
What is the area of a square with a side of 7?
Answer:
49
Step-by-step explanation:
Formula for the area of a square is S^2
Plug 7 into the formula
7^2 = 49
Indicate below whether the equation in the box is true or false
Answer:
False
Step-by-step explanation:
In order to compare fractional terms both sides, you have to make sure that both sides are equal in denominator. In this case, our denominators are 3 and 12. To equalize the denominator of both sides, find the LCM of 3 and 12 which is 12.
Therefore, we multiply 2/3 by 4/4. Therefore:
\(\displaystyle{\dfrac{2\cdot 4}{3\cdot 4} = \dfrac{9}{12}}\\\\\displaystyle{\dfrac{8}{12} = \dfrac{9}{12}}\)
The equation is false since 8/12 does not actually equal 9/12. You can also try cutting the pieces into 12 pieces total and compare both shaded regions; you'll see that both are not equivalent at all.
Learn More About Comparing Fractionhttps://brainly.com/question/22008272. how can the directed graph of a relation r on a finite set a be used to determine whether a relation is asymmetric?
The directed graph of a relation r on a finite set a be used to R not equal to ∅ and it is reflexive, symmetric, transitive, anti symmetric, then the R is equivalence relation and an order relation.
Let the relation R R R be asymmetric. A loop in the directed graph corresponds to an ordered pair of the form ( a , a ) (a , a) (a , a). By the definition of asymmetric, the relation R R R cannot contains any ordered pairs of the form ( a , a ) (a , a) (a , a) and thus the directed graph cannot contain any loops.
They are typically represented by labeled points or small circles. We connect vertex a to vertex b with an arrow, called an edge, going from vertex a to vertex b if and only if arb. This type of graph of a relation r is called a directed graph or digraph .
It is a set where either there are many components or only the beginning or ending are provided. By n(A), we refer to the total number of components, and if n(A) is a characteristic number, then the set is constrained.
Let A be finite non-empty set.
Then the exist relation R on A which is both equivalence and order relation.
Suppose A = {\(a_{1} , a_{2} , a_{3} , ...... a_{n} ,\)}
And, R = { \((a_{1} ,a_{1}) , (a_{2} ,a_{2} ) ,(a_{3} ,a_{3} )........(a_{n} ,a_{n} )\) }
R not equal to ∅ and it is reflexive, symmetric, transitive, anti symmetric.
Then R is equivalence relation and an order relation.
Therefore,
The directed graph of a relation r on a finite set a be used to R not equal to ∅ and it is reflexive, symmetric, transitive, anti symmetric, then the R is equivalence relation and an order relation.
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Juana tiene en su tienda un costal con 28 libras de azucar.Hizo seis paquetes de 2,5 kg cada uno, de los cuales vendio cinco.¿Cuanta azucar quedo en el costal?
Answer:
Quedan 3 libras de azúcar en el costal.
Step-by-step explanation:
Una kilo es aproximadamente dos libras y dos libras y media equivalen a un paquete, para determinar la cantidad remanente de libras de azúcar luego de las ventas se calcula la masa vendida por regla de tres compuesta:
\(x = 5\,p \times \frac{2,5\,kg}{1\,p}\times \frac{2\,lb}{1\,kg}\)
\(x = 25\,lb\)
Juana vendió 25 libras de azúcar. Entonces, la masa remanente de azúcar en el costal es:
\(x = 28\,lb-25\,lb\)
\(x = 3\,lb\)
Quedan 3 libras de azúcar en el costal.
The total amount of sugar left in the sack is 3 pounds.
Using the conversion:
1 kg = 2lb
2.5kg =5lb
If she sold 5 pounds out of the total package, the amount of pounds sold will be 5 * 5lb = 25lb.Amount of sugar left in the sack = Total - amount sold
Amount of sugar left in the sack = 28lb - 25lb
Amount of sugar left in the sack = 3lb
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A rectangular parking lot must have a perimeter of 480 feet and an area of at least 9500 square feet. Describe the possible lengths of the parking lot.A rectangular parking lot must have a perimeter of 480 feet and an area of at least 9500 square feet. Describe the possible lengths of the parking lot.
The possible lengths of the parking lot are 190 feet and 50 feet
How to describe the possible lengths of the parking lot.The given parameters from the question are:
Perimeter of 480 feet An area of at least 9500 square feetLet the dimensions of the lot be L and W
So, we have the following representations
Perimeter, P = 2(L + W)
Area = LW
Substitute the known values in the above equation, so, we have the following representation
2(L + W) = 480
LW ≥ 9500
Divide 2(L + W) = 480 by 2
L + W = 240
So, we have
L = 240 - W
Substitute L = 240 - W in LW ≥ 9500
(240 - W)W ≥ 9500
This gives
240W - W² ≥ 9500
Using a graphing tool, we have
50 ≤ W ≤ 190
Substitute 50 ≤ W ≤ 190 in L = 240 - W
L = 240 - 50 = 190
L = 240 - 190 = 50
Hence, the possible lengths are 190 by 50 feet
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A computer has a list price of $1,200. It is on sale for 30% off list. What is
the sale price of the computer?
A $840
B $800
0
$720
$360
Answer:
A. $840
Step-by-step explanation:
multiply 1200 x .70 = 840
How much time will it take for the laptop to receive one mtu-size (1500 byte) packet?
The correct answer is it would take approximately 0.000012 seconds (or 12 microseconds) for the laptop to receive a packet of MTU size (1500 bytes) with a network speed of 1 Gbps.
To determine the time it will take for a laptop to receive a packet of MTU size (1500 bytes), we need to consider the data transfer rate or network speed.
Let's assume the network speed is given in bits per second (bps). We'll need to convert the packet size from bytes to bits and then divide it by the network speed to calculate the time.
First, let's convert the packet size from bytes to bits:
Packet size = 1500 bytes
1 byte = 8 bits
1500 bytes * 8 bits/byte = 12000 bits
Now, we need to divide the packet size by the network speed to calculate the time:
Time = Packet size / Network speed
For example, if the network speed is 1 Gbps (1 gigabit per second), the calculation would be:
Time = 12000 bits / (1 Gbps) = 12000 / (10^9) seconds = 0.000012 seconds
Therefore, it would take approximately 0.000012 seconds (or 12 microseconds) for the laptop to receive a packet of MTU size (1500 bytes) with a network speed of 1 Gbps.
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Suppose students' ages follow a normal distribution with a mean of 21 years old and a standard deviation of 3 years. If we select a random sample of size n= 9 students, what is the probability that the sample mean age is between 19 and 22 years? Round your answer to four decimal places.
The probability that the sample mean age is between 19 and 22 years is approximately 0.8186 or 81.86% (rounded to four decimal places).
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
We know that the sample mean age of 9 students follows a normal distribution with a mean of 21 years and a standard deviation of 3/sqrt(9) = 1 year (since the standard error of the mean is the standard deviation divided by the square root of the sample size).
To find the probability that the sample mean age is between 19 and 22 years, we first need to standardize the values using the standard normal distribution. We can do this by subtracting the mean and dividing by the standard error:
z1 = (19 - 21) / 1 = -2
z2 = (22 - 21) / 1 = 1
Now we need to find the probability that the sample mean falls between -2 and 1 standard deviations from the mean of the standard normal distribution. We can look this up in a standard normal distribution table or use a calculator:
P(-2 < Z < 1) = 0.8186
Therefore, the probability that the sample mean age is between 19 and 22 years is approximately 0.8186 or 81.86% (rounded to four decimal places).
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Harry maid fruit punch using 2 parts Orange juice to 3 parts of soda water. The amount of soda water that Henry used is directly proportional to the amount of orange juice used. How many cups of orange juice should henry use with 18 cups of soda water?
Answer:
Step-by-step explanation:
j represents the amount of juice
2 : 3 :: j : 18 proportion
3j = (2)(18)
A class of 25 students went to a zoo.The total admission cost for the 25 students was $56.25.The admission cost was the same for each student. What is the admission cost for 1 student
Answer:
2.25USD$ Per Student
Step-by-step explanation:
Please mark me brainliest :) I need it to rank up :)
Cynthia earns $680 in commissions and is paid $10.25 per hour. Javier earns $410 in commissions and is paid 12.50 per hour. What will you find if you solve for x in the equation 10.25x + 680 = 12.5x +410.
Answer:
x = 120
Step-by-step explanation:
10.25x + 680 = 12.5x +410.
Subtract 10.25x from each side
10.25x-10.25x + 680 = 12.5x-10.25x +410.
680 = 2.25x +410
Subtract 410 from each side
680-410 = 2.25x +410-410
270 = 2.25x
Divide each side by 2.25
270/2.25 =2.25x/2.25
120=x
Give the following non-linear equation: z = x² + 4xy + 6xy² 1.1. Linearize the following equation in the region defined by 8 ≤x≤10,2 ≤y ≤4. (8) 1.2. Find the error if the linearized equation is used to calculate the value of z when x = 8, y = 2.
The linearized equation for the non-linear equation z = x² + 4xy + 6xy² in the region defined by 8 ≤ x ≤ 10, 2 ≤ y ≤ 4 is given by :
z ≈ 244 + 20(x - 8) + 128(y - 2).
When using the linearized equation to calculate the value of z at x = 8, y = 2, the error is 0.
1.1. To linearize the equation in the given region, we need to find the partial derivatives of z with respect to x and y:
∂z/∂x = 2x + 4y
∂z/∂y = 4x + 6xy
At the point (x₀, y₀) = (8, 2), we substitute these values:
∂z/∂x = 2(8) + 4(2) = 16 + 8 = 24
∂z/∂y = 4(8) + 6(8)(2) = 32 + 96 = 128
The linearized equation is given by:
z ≈ z₀ + ∂z/∂x * (x - x₀) + ∂z/∂y * (y - y₀)
Substituting the values, we get:
z ≈ z₀ + 24 * (x - 8) + 128 * (y - 2)
1.2. To find the error when using the linearized equation to calculate the value of z at x = 8, y = 2, we substitute these values:
z ≈ z₀ + 24 * (8 - 8) + 128 * (2 - 2)
= z₀
Therefore, the linearized equation gives the exact value of z at x = 8, y = 2, and the error is 0.
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A game is played using one die. if the die is rolled and shows 6, the player wins $20. if the die shows any number other than 6, the player wins nothing.
a. if there is a charge of $4 to play the game, what is the game's expected value?
$______(round to the nearest cent)
b. choose the statment below that best describes what this value means.
Choose one!
a. over the long run, the player can expect to lose about this amount for each game played
b. over the long run, the player can expect to win about this amount for each game playedc. over the long run, the player can expect to break even.
A game is played using one die. If the die is rolled and shows 1, the player wins $5. If the die shows any number other than 1, the player wins nothing. If there is a charge of $1 to play the game, what is the game's expected value?
--------------------
Let random variable "x" be a count of player gain.
X-values are: 4, -1
P(x=4) = 1/6; P(x= -1) = 5/6
---------------------------------
E(x) = (1/6)(4) + (5/6)(-1)
E(x) = [4-5]/6
E(x) = -1/6 = -17 cents
=============================
Cheers,
(4.2x10^6)(1.1x10^7)
Answer:4.62x10^13
Step-by-step explanation:
2x(x-5)-x(3+2x)=26
help me pls
Answer:
x=−2
Step-by-step explanation:
hope it helps yaa
Challenge A movie theater sends out a coupon for 30% off the price of a ticket. Write an equation
for the situation, where y is the price of the ticket with the coupon, and x is the original price of the
ticket. Use pencil and paper. Draw a graph of the equation and explain why the line should only be
in the first quadrant.
The equation is y=
Answer:
The equation is y= 0,65 x
Step-by-step explanation:
4. The two trapezoids below are similar. What
is the length of segment EF?
24 am
A
D
30 cm
B
C
G.
7.5 cm
X
E
H
Help please
The length of segment EF is 6 cm.
What is Length of Segment?The distance between two ends determines the length of a segment.
A segment may be straight, curved, or both straight and curved.
As the distance between two points on a line, a straight segment is the most basic kind of segment. The positions at the segment's ends are known as the endpoints.
It is possible to determine the length of a straight segment by first calculating the difference between the x- and y-coordinates of the two endpoints.
To determine the overall length of the segment, this information is then combined together. It is slightly more difficult to measure a piece that is curved.
This is so because a curved segment's length is frequently different at each location.
Both trapezoids are similar,
⇒ AB / DC = FE / GH [Sides are in same ratio]
⇒ 24 / 30 = x / 7.5
⇒ x = 6
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find an equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 5xy. (note: start your answer with y
The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.
To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:
We have:
Point: (0, 1)
Slope: 5xy
We can start by integrating the slope function to find the equation of the curve:
∫(dy/dx) dx = ∫(5xy) dx
Integrating both sides:
∫dy = ∫(5xy) dx
Integrating with respect to y on the left side gives us:
y = ∫(5xy) dx
To solve this integral, we treat y as a constant and integrate with respect to x:
y = 5∫(xy) dx
Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:
y = 5 * (1/2) * x^2y + C
Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:
1 = 5 * (1/2) * (0)^2 * 1 + C
1 = C
Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:
y = 5 * (1/2) * x^2y + 1
Simplifying further, we have:
y = (5/2) * x^2y + 1
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Find the inflection point(s) of F. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) MX) 22414
f(x)=x/x2+14
The function f(x) = x / (x² + 14) has one inflection point at x = 0.
To find the inflection points of the function f(x) = x / (x^2 + 14), we need to determine the points where the concavity of the function changes.
First, let's find the second derivative of f(x) to check for concavity:
f(x) = x / (x² + 14)
f'(x) = (x^2 + 14) - x(2x) / (x² + 14)²
= (x²+ 14 - 2x²) / (x^2 + 14)²
= (14 - x²) / (x²+ 14)²
f''(x) = [2x(x² + 14)² - (14 - x²)(2x(x² + 14)))] / (x² + 14)⁴
= (28x³ + 392x) / (x² + 14)³
To find the inflection points, we need to solve the equation f''(x) = 0:
(28x³ + 392x) / (x² + 14)³ = 0
Setting the numerator equal to zero:
28x³ + 392x = 0
Factor out 28x:
28x(x² + 14) = 0
This equation is satisfied when either x = 0 or x² + 14 = 0. However, x² + 14 = 0 has no real solutions.
Therefore, the inflection point(s) of the function f(x) = x / (x²+ 14) is x = 0.
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Find the surface area of the given shape
The surface area of the shape in this problem is given as follows:
810 m².
How to calculate the surface area of the shape?Before obtaining the surface area of the shape, we must obtain the second side of the triangular parts, applying the Pythagorean Theorem, as follows:
12² + x² = 25.5²
\(x = \sqrt{25.5^2 - 12^2}\)
x = 22.5 m.
Hence the figure is composed as follows:
One rectangular face of dimensions 12 m and 9 m.One rectangular face of dimensions 25.5 m and 9 m.One rectangular face of dimensions 22.5 m and 9 m.Two right triangular faces of sides 12 m and 22.5 m.The surface area is given by the sum of the areas of all the parts of the figure, hence:
S = 12 x 9 + 25.5 x 9 + 22.5 x 9 + 2 x 1/2 x 12 x 22.5
S = 810 m².
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What general direction did Lin walk from the gym to his house, and what type of triangle did his walking path form? Lin walked south, creating a right triangle. Lin walked southwest, creating an obtuse triangle. Lin walked southeast, creating an acute triangle. Lin walked directly east, creating a right triangle.
The correct statement is ''Lin can walk southwest by creating an obtuse triangle to reach his house from the gym'' and it can be determined by using the properties of triangle.
We have to determine
What general direction did Lin walk from the gym to his house, and what type of triangle did his walking path form?
According to the question,
Types of Triangle;1. Lin walked south, creating a right triangle-
When someone walked in only one direction then a straight line is made by him over his path.
Here Lin can not make a right triangle just by walking in one direction.
Thus statement 1 is incorrect.
2. Lin walked southwest, creating an obtuse triangle.
When someone wants to reach a diagonal direction he can use either the right angle triangle path or the obtuse triangle.
Lin can walk southwest by creating an obtuse triangle to reach his house from the gym.
Thus statement 2 is correct.
3. Lin walked southeast, creating an acute triangle.
Actuate triangle is a triangle in which all three angles are less than the right angles (90 degrees).
With walking in actuate triangle one can make Lin can not go in his diagonal direction.
Thus statement 3 is incorrect.
4. Lin walked directly east, creating a right triangle.
When someone walked in only one direction then a straight line is made by him over his path.
Here Lin can not make a right triangle just by walking in one direction.
Thus statement 4 is incorrect.
Hence, Lin can walk southwest by creating an obtuse triangle to reach his house from the gym. Thus statement 2 is correct.
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Answer:
its B Lin walked southwest, creating an obtuse triangle
¿Qué es la poblacion en estadistica?
Answer:
Que?
Step-by-step explanation:
I don't speak Español
A drinking glass is in the approximate shape of a cone. The height of the cone is 12 inches, and the base diameter is 3 inches. What is the volume of the glass to the nearest tenth?
if the base diameter is 3 inches, that means its radius is half that, or 1.5 inches.
\(\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=12\\ r=1.5 \end{cases}\implies V=\cfrac{\pi (1.5)^2 (12)}{3}\implies V\approx 28.3~in^3\)
A model boat i 15 inche long if the boat i bulit to a cale of 1 : 250 inche how long i the real boat
define a variable
write a porortion
olve the porportion
anwer with word
If the scale of drawing is 1 inches : 250 inche and the real horse height is 15 inche, then the height of the horse in drawing is 0.06 inches.
What does a scale look like in math?The ratio that describes the relationship between the true figure itself and model is called the scale. It serves as a representation of the real statistics in smaller units on maps. A scale of 1:5, for instance, indicates that 1 on the map is approximately the size of 5 in the actual world.
Briefing:The scale of drawing the horse = 1 inch :
Therefore in scale
Horse height in drawing equals one inch
The height of the horse = 250 inche
The original height of the horse = 15 inche
The height in the picture = x inches
To find the height the horse in the picture, we have to use proportion
1 inch : 250 inche = x inches : 15 inche
1 / 250 = x / 15
1 × 15= 250x
250x = 15
x = 15/250
x = 0.06 inches
Therefore, the height of the horse in drawing is 0.06 inches
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an analyst for an online shopping site discarded an upper outlier and calculated that the mean number of minutes customers spent on the site was 23 and the median was 26. what effects are likely if the analyst decides to include the upper outlier in the calculations? check all that apply.
When an upper outlier is added to the dataset, the mean and median will increase. This means that the analyst's decision to add the upper outlier will have a positive effect on the dataset.
What are the effects of including an upper outlier in the calculation?The mean will increase and the median will increase.
The mean and median are the two measures of central tendency, and they are calculated to represent the dataset as a whole.
Mean and median are determined by removing or adding the outliers, which are numbers that are either too high or too low. median was 26, the effects are likely to be positive.
However, when the analyst decides to include the upper outlier in the calculations, it will lead to an increase in the mean and median.The effect of outliers on the mean and median is different.
The mean is greatly influenced by outliers. The median is not affected as much by outliers as the mean because it is calculated by arranging the dataset from lowest to highest and selecting the middle value of the dataset.
When an upper outlier is added to the dataset, the mean and median will increase. This means that the analyst's decision to add the upper outlier will have a positive effect on the dataset.
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Find the slope of the line that passes through (12, 6) and (-8, -4).
Group of answer choices
1/2
2/1
-1/2
-2/1
None of the above.
Answer:
\( \huge \boxed{ \boxed{ \frac{1}{2} }}\)
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\\)
From the question we have
\(m = \frac{ - 4 - 6}{ - 8 - 12} = \frac{ - 10}{ - 20} = \frac{10}{20} = \frac{1}{2} \\ \)
We have the final answer as
\( \frac{1}{2} \\ \)
Hope this helps you
lilly is five years older than her brother tommy and lilly is half as old as her sister claire. if lilly is 8, how old are tommy and claire
Step-by-step explanation:
age of lilly=8
age of brother=8-5=3
age of sister=2×8
=16
Therefore lilly age is 8
her brother's age is 3 (Tommy)
and her sister's age is 16 (Claire)
hope this helps
Answer
Tommy is 3 and Claire is 16
Step-by-step explanation:
8-5=3 (Tommy's age)
8x2=16 (Clarie's age)
consider the sequence -5,1,7,13,19,25 write a recursive definition and a general formula for this sequence
Answer:
Formula: n+6
In mathematics, a recursive definition is used to define the elements in a set in terms of other elements in the set.
Given that the long-term DPMO = 25137, what are the short-and long-term Z-values (process sigmas)?
A. LT = 1.96 and ST = 3.46
B. LT = 3.46 and ST = 1.96
C. LT = 4.5 and ST = 6.00
D. None of the above
The answer is D. None of the above, the long-term DPMO is 25137, which is equivalent to a Z-value of 3.46. The short-term Z-value is usually 1.5 to 2 times the long-term Z-value,
so it would be between 5.19 and 6.92. However, these values are not listed as answer choices. The Z-value is a measure of how many standard deviations a particular point is away from the mean. In the case of DPMO, the mean is 6686. So, a Z-value of 3.46 means that the long-term defect rate is 3.46 standard deviations away from the mean.
The short-term Z-value is usually 1.5 to 2 times the long-term Z-value. This is because the short-term process is more variable than the long-term process. So, the short-term Z-value would be between 5.19 and 6.92.
However, none of these values are listed as answer choices. Therefore, the correct answer is D. None of the above.
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