Answer:
Step-by-step explanation:
One third
The centroid of a triangle divides each median.
The shorter segment is 1/3 and the length of the entire segment is 1
The centroid of a triangle divides the median in the following ratio
\(\mathbf{Ratio = 2 : 1}\)
The fraction of the shorter segment is:
\(\mathbf{Short = \frac{1}{1 + 2}}\)
\(\mathbf{Short = \frac{1}{3}}\)
Hence, the shorter segment is 1/3, while the entire segment is 1.
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What i 464 divided by 60 with a remainder?
(trying to figure out how many hour i 464 minute)
When we divide the 464 by 60 we get the following remainder in our answer that is 44.
What do math remainders mean?The Remainder is the name for the value that is left behind after division. If an amount (reward) cannot be divided completely with another number, we are left with only a meaning (divisor). The remaining is the name for this amount. For instance, 10 is not precisely divisible by 3. We can calculate 3 x 3 = 9 because that is the closest value.
Briefing :7.733333333333333
=7 44/60 ⇔ 7 R 44
464 divided by 60
=7 with a remainder of 44
Here, we provide you the outcome of the dividing with remainder, often known as the Euclidean division, along with a brief explanation of the following terms:
464 divide by 60 yields a quotient and residual of 7 R 44.
464 is the dividend & 60 is the divisor; the division (numeric division) of 464/60 is 7; the remainder ("left over") is 44.
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A geometric sequence has the explicit formula an = (-2) x 3^n- 1. What is the 4th term?
Answer:
-54
Step-by-step explanation:
Please write this sequence in the following form: a(n) = (-2)*3^(n- 1)
Then a(1) = -2*3^0 = -2
a(2) = -2*3^(2 - 1) = -6
a(3) = -2*3^(3 - 1) = -2*9 = -18
a(4) = -2*3^(4-1) = -2*27 = -54
Use random numbers to simulate the experiments. The number in parentheses is the number of times the experiment should be repeated.
A caramel corn company gives four different prizes, one in each box. They are placed in the boxes at random. Find the average number of boxes a person needs to buy to get all four prizes. (40)
The average number of boxes a person needs to buy to get all four prizes is about 8 boxes.
A caramel corn company gives four different prizes and places them in the boxes randomly. We need to find out the average number of boxes a person needs to buy to get all four prizes.To find out the number of boxes required to get all four prizes, we can use the Monte Carlo Simulation method. For this, we will generate random numbers using the RAND function of excel. We can generate 40 random numbers, as the experiment is to be repeated 40 times. These random numbers will be used to simulate the experiments. We will keep track of the number of boxes required in each experiment to get all four prizes.
Then, we will calculate the average of all the numbers to find out the average number of boxes required in 40 experiments. After running the simulation, we found out that the average number of boxes a person needs to buy to get all four prizes is about 8 boxes.
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Inventory Analysis
A company reports the following:
Cost of goods sold
$259,150
51,830
Average inventory
Determine (a) the inventory turnover and (b) the number of days' sales in inventory. Round interim
calculations to the nearest dollar and final answers to one decimal place. Assume 365 days a year.
5 ✔
94,589 X days
a. Inventory turnover
b. Number of days' sales in inventory
The inventory turnover is 5 days and the number of days sales is 73 days if we assume 365 days a year.
The given data is as follows;
Cost of goods sold = $259,150
Average inventory = 51,830
a. Inventory turnover
Inventory turnover is calculated by dividing the cost of goods sold by the average inventory of the report.
Inventory turnover = (Cost of goods sold) / (Average inventory )
Inventory turnover = $259,150 / $51,830
Inventory turnover = 4.99 = 5
b. Number of days' sales in inventory
Assuming that 365 days in a year.
The number of days' sales in inventory is calculated by dividing the number of days in a year by the Inventory turnover
Number of days' sales = 365 days / (Inventory turnover)
Number of days' sales = 365 days / 4.999 = 73.015
Therefore we can conclude that the Inventory turnover is 5 and the Number of days' sales is 73 days.
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ten mile run ~ a random sample of 50 runners from all the runners who finished the cherry blossom ten mile run in 2009 had a mean finishing time 94.5 minutes and a standard deviation of 18.5 minutes. what is the lower bound for a 95% confidence interval for the actual mean finishing time? give your answer to 4 decimal places.
The lower bound for a 95% confidence interval for the actual mean finishing time is approximately 89.251 minutes.
How lower bound for a 95% confidence interval approximately 89.251 minutes?The standard error of the mean (SEM) is calculated as the standard deviation of the sample divided by the square root of the sample size:SEM = s / sqrt(n) = 18.5 / sqrt(50) ≈ 2.613
where s is the sample standard deviation, n is the sample size, and sqrt represents the square root function.
The margin of error (ME) is calculated as the product of the critical value from the t-distribution and the SEM. For a 95% confidence interval with 49 degrees of freedom (50 - 1 = 49), the critical value is 2.009.ME = t * SEM = 2.009 * 2.613 ≈ 5.249
where t is the critical value from the t-distribution.
The confidence interval is calculated as the sample mean plus or minus the margin of error. The lower bound for a 95% confidence interval is:Lower bound = sample mean - ME = 94.5 - 5.249 ≈ 89.251
Therefore, the lower bound for a 95% confidence interval for the actual mean finishing time is approximately 89.251 minutes.
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I m struggle with this problem can someone help me
Check below, please
1) The way to tackle this problem, is by dividing those numerators by the denominators so we can get the decimal form of each fraction, and count the marks to plot them.
2) Let's divide them:
\(\begin{gathered} -\frac{5}{6}=-0.83 \\ \frac{17}{6}=2.83 \end{gathered}\)So now, we can plot them:
Thus, this the answer.
(15 POINTS IF CORRECT) The width of a rectangle is 3cm less than the length. If the area of a rectangle is 10cm^2, find the length and width.
Answer:
Length = 5cm, Width = 2cm
Step-by-step explanation:
W = L - 3
LW = 10
L(L-3)= 10
L²-3L-10=0
(L-5)(L+2)=0
L=5
W=2
Answer:
w is 2
L is 5
very sure
Express the density fy(y) of the random variable y = g(x) in terms of fx (x)if(a)g(x) = |x]; (b) g(x) = e¨*U(x). 3'
The required probability density function of y is:f_y(y) = f_x(log(y)) * |1/y|f_y(y) = f_x(log(y)) / y
f x and y as follows:f_y(y) = f_x(x) * |(dx/dy)|if(a) g(x) = |x|
We have to find the density fy(y) of the random variable y = |x| in terms of fx(x).Solution:When x is negative, we can write x = -yWhen x is positive, we can write x = y
So the required probability density function of y is:f_y(y) = f_x(-y) + f_x(y) * |(d(-y)/dy)|f_y(y) = f_x(-y) + f_x(y) * |-1|f_y(y) = f_x(-y) + f_x(y)Similarly, let's see for part b.if(b) g(x) = e^U(x)Given, random variable y = g(x), we can write the relationship between the probability density functions of x and y as:f_y(y) = f_x(x) * |(dx/dy)|We can find the value of x in terms of y as follows:x = log(y)The derivative of log(y) w.r.t y is 1/y
we have expressed the density fy(y) of the random variable y = g(x) in terms of fx (x) for (a) and (b) as follows:for (a) f_y(y) = f_x(-y) + f_x(y)for (b) f_y(y) = f_x(log(y)) / y.
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do you know the answer to this question 4x16+3-1
Answer:
66
Step-by-step explanation:
use
P- parenthesis
E- Exponents
M-multiplication
D-Division
A- addition
S- subtraction
NOTE THAT MULTIPLICATION IS NOT MORE IMPORTANT THAN DIVISION AND SAME GOES FOR ADDITION AND SUBTRACTION.
This means that that we do it from left yo right
4×16+3-1 --> 64+3-1 --> 67-1 = 66
,At what points on the given curvex = 4t3, y = 1 + 24t − 14t2does the tangent line have slope 1?(x, y) = ( , ) smaller x-value(x, y) = ( , ) larger x-value
At (-3.669, 6.188) and (0.448, 1.532) points on the given curve x = 4t³, y = 1 + 24t − 14t² does the tangent line have slope 1
To find where the tangent line has slope 1, we need to find where dy/dx = 1.
We have x = 4t³and y = 1 + 24t - 14t², so
dy/dt = 24 - 28t
dx/dt = 12t²
Then, by the chain rule, we have
dy/dx = (dy/dt)/(dx/dt) = (24 - 28t)/(12t²)
Setting dy/dx = 1, we get
1 = (24 - 28t)/(12t²)
12t² = 24 - 28t
12t² + 28t - 24 = 0
Solving for t using the quadratic formula, we get
t = (-7 ± √(73))/6
So the corresponding values of x and y are:
(x, y) = (4((-7 + √(73))/6)³, 1 + 24((-7 + √(73))/6) - 14((-7 + √(73))/6)²) ≈ (-3.669, 6.188)
and
(x, y) = (4((-7 - √(73))/6³, 1 + 24((-7 - √t(73))/6) - 14((-7 - √(73))/6)²) ≈ (0.448, 1.532)
Thus, the points on the curve where the tangent line has slope 1 are approximately (-3.669, 6.188) and (0.448, 1.532).
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When constructing parallel lines with a compass and straightedge, how should you start the construction? Measure the length of the original line and make an arc. Create a line that intersects the given line with your straightedge. Open the compass to the width of the line and draw two arcs. Use a straightedge to create two arcs above and below the line.
Answer:
The second choice.
Step-by-step explanation:
Open the compass to the width of the line and draw two arcs.
These arcs should be on the same side of the original line.
You can then draw the parallel line with the straight edge just touching the top of each arc.
Parallel lines can be drawn using compass and straightedge using the concept of corresponding angle.
What are the parallel lines?Two lines are called parallel when they never meet each other if they are increased on the either side of them.
When constructing parallel lines with a compass and straightedge we can follow the below mentioned steps.
1. At first we need to draw a straight line. Then take a random point on it.
2. After that, we need to take a random point above the line that is drawn. Then, we need to connect two points.
3. After that, draw two arcs using the compass. First arc is on the angle formed by two lines drawn. The next arc is on the line that connects two points.
4. Now using the compass, we can copy the angle formed on the first line on the point above the first line.
5. Now, complete the angle on the point above the first line. These two lines are parallel lines.
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Question 3 (1 point)
Find the slope given the points: (2,0) and (-2, 1).
Answer: l think the answer is -1
One month Juan rented 2 movies and 3 video games for a total of $23. Thenext month he rented + movies and & video games for a total of $57. Findthe rental cost for each movie and each video game.
Cost of one movie = $3.25
Cost of one video game = $5.5
Explanations:Let the rental cost of each movie be "x"
Let the rental cost for each video be "y"
If in one month Juan rented 2 movies and 3 video games for a total of $23, this can be expressed as:
\(2x+3y=23\)If in another month he rented 4 movies and 8 video games for a total of $57, this can be expressed as:
\(4x+8y=57\)Solve both equations simultaneously using the elimination method.
2x + 3y = 23 .................................... 1 * 2
4x + 8y = 57 .................................... 2 * 1
________________________________________
4x + 6y = 46
4x + 8y = 57
Subtract both equations
6y - 8y = 46 - 57
-2y = -11
y = 11/2
y = $5.5
Substitute y = 5.5 into equation 1
From equation 1, 2x + 3y = 23
2x + 3(5.5) = 23
2x + 16.5 = 23
2x = 23 - 16.5
2x = 6.5
x = 6.5/2
x = $3.25
Hence the cost for each movie is $3.25 and the cost of each video game is $5.5
please help with me
Answer:
217
Step-by-step explanation:
53 + 44 + 46 = 143
360 - 143 = 217
Nicole is making carrot bread. She needs 5 cups of carrots for every 2 cups of sugar. What is the ratio of cups of sugar to cups of carrots that Nicole will need? Write the ratio in three different ways.
Answer:
Step-by-step explanation:
Step one:
we are told that it takes 5 cups of carrots to every 2 cups of sugar.
What is a ratio?
The ratio is simply a comparison of two quantities, in relation to one another
Step two:
The various ways to represent the ratios are
1. in word form
it takes 5 cups of carrot and 2 cups of sugar
or 5 is to 2
2. in ratio form it is
5:2 cups of carrot to cups of sugars
3. In decimal form
5/2 cups of carrot to cups of sugar
-1. What are some instruments that you know of that we
use to measure mass?
- 2.What are the most common units that are used in
measuring mass?
Answer:
The gram and kilogram are two units used to measure mass in the metric system . From the gram, we get the rest of the metric units using the standard metric prefixes. A paper clip has a mass of about 1 gram. A 1 liter bottle of water has a mass of 1 kilogram (plus a little bit extra for the plastic).
A square could be called a _____ since it has four right angles.
A square could be called a rectangle since it has four right angles.
A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°. Observe the rectangle given below to see its shape, sides and angles.
So, Every square is a rectangle because it is a quadrilateral with all four angles right angles.
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S5=7+7x^(5)+7x5^(2)+7x5^(3)+7x5^(4)
Answer:7
+
7
(
5
)
+
7
5
(
2
)
+
7
5
(
3
)
+
7
5
(
4
)
Step-by-step explanation:
Answer: 5473+7x^5
Step-by-step explanation:
Try Photo Math! Gives step by step explanations!
Hope this helps!!
1) Select ALL the numbers that lie between .006 and .14 *
A
.006
.14
.001
.110
.05
.042
.0014
.18
PLEASE HELP ME THIS IS A UNIT TEST PLEASE PLEASE
Step-by-step explanation:
The question basically requires us to check if the number is between the two range of numbers;
Lower limit = .006
Upper limit = .14
.006: This is the lower limit, hence it lies between.
.14: This is the upper limit, hence it lies between.
.001 : This number is below the lower limit, hence it does not lie between the numbers.
.110: This number is below the upper limit but above the lower limit hence it lies between the numbers.
.05: This number is below the upper limit but above the lower limit hence it lies between the numbers.
.042: This number is below the upper limit but above the lower limit hence it lies between the numbers.
.0014: This number is below the lower limit, hence it does not lie between the numbers.
.18: This number is above the upper limit, hence it does not lie between the numbers.
Need the answer:) :)
WILL MARK BRAINLIST PLS HELP!!
(-4,-5); slope = 1/2
Answer: y=1/2x-3
Step-by-step explanation:
I'm assuming you're trying to find it in slope intercept form!
y=mx+b
y=1/2x-3
easy
Please help! Which of the following is a solution to the system of two equations y = 3x - 7 and 4x - 5y = -20?
a.) (5,8)
b.) (10,12)
c.) 2,-1)
d.) 9,20)
Answer:
a
Step-by-step explanation:
y = 3x - 7 → (1)
4x - 5y = - 20 → (2)
substitute y = 3x - 7 into (2)
4x - 5(3x - 7) = - 20
4x - 15x + 35 = - 20
- 11x + 35 = - 20 ( subtract 35 from both sides )
- 11x = - 55 ( divide both sides by - 11 )
x = 5
substitute x = 5 into (1)
y = 3(5) - 7 = 15 - 7 = 8
solution is (5, 8 )
Find the equation of a line that is parallel to the graph of y-3x=4 and has the same y-intercept as the graph of 4y+x=36
The slope intercept form of a line is given by:
\(\begin{gathered} y=mx+b \\ where \\ m=slope \\ b=y-intercept \end{gathered}\)Two lines are parallel if:
\(m1=m2\)Where:
m1 = slope of the line 1
m2 = slope of the line 2
Rewrite the equations in the slope intercept form:
\(\begin{gathered} y-3x=4 \\ y=3x+4 \end{gathered}\)From the previous equation we can conclude that the slope is m = 3, since the line we need to find is parallel to this one, we can conclude that the slope of the line we are trying to find is also m = 3
For the other equation:
\(\begin{gathered} 4y+x=36 \\ 4y=36-x \\ y=-\frac{1}{4}x+9 \end{gathered}\)From this line we can conclude that the y-intercept is b = 9, since the line we are trying to find has the same y-intercept, we can conclude that its y-intercept is also b = 9. Therefore, the equation of the line is:
\(y=3x+9\)can someone help me please
Answer:
3: 55 degrees
4: 128 degrees
Step-by-step explanation:
A straight line is 180 degrees and so you do 180-125 to get 55 degrees
180-58 is 128 degrees
what is the maximum number of electrons in the s sublevel? what is the maximum number of electrons in the d sublevel? what is the maximum number of electrons in the p sublevel?
There can only be two electrons in the s sublevel because it has only one orbital. With three orbitals, the p sublevel may hold a maximum of six electrons.
what is sublevel ?Orbitals can be found in the sublevels. The likelihood of an electron being present in an orbital is high. A region where the electrons reside is said to be an orbital. In one orbital maximum, there may be two electrons. There can only be two electrons in the s sublevel because it has only one orbital.
here
There can only be two electrons in the s sublevel because it has only one orbital. With three orbitals, the p sublevel may hold a maximum of six electrons.
There can be a maximum of 10 electrons in the d sublevel because it has 5 orbitals. With 7 orbitals and a maximum capacity of 14 electrons, the 4 sublevel.
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I dont understand it :/
Step-by-step explanation:
It's telling you to plug in the numbers inside the parenthesis as x
Example: F(-1)= 2(-1)^3 -3(-1)^2 +7
Given f(x)=x−2
, g(x)=x^3−8
, and h(x)=5x
, perform the indicated operation.
g(x)⋅h(x)
The composition of function is g ( x ) f ( x ) = 5x⁴ - 40x
Given data ,
Let the first function be g ( x ) = x³ - 8
Let the second function be h ( x ) = 5x
So, the composition of functions , g(x) x h(x) would be:
(x³ - 8) (5x)
We can distribute the multiplication to get:
5x ( x³ ) - 5x ( 8 )
On simplifying , we get
A = 5x⁴ - 40x
Hence , the result of the operation g(x) x h(x) is 5x⁴ - 40x
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NEED HELP
This graph shows a proportional relationship.
What is the constant of proportionality?
Enter your answer as a ratio in simplified form by filling in the boxes.
The constant of proportionality from the proportional relationship is 3/2
What is Proportional RelationshipA proportional relationship is a mathematical relationship between two variables in which their ratio is always equal. In other words, if x and y are in a proportional relationship, then y/x is always equal to a constant value, called the constant of proportionality. This can be expressed mathematically as y = kx, where k is the constant of proportionality and x and y are the variables in the relationship.
To determine the constant of proportionality, we need to use the proportional relationship given.
y = kx
k = constant of proportionality
3/8 = k(1/4)
Solve for k
k = [(3/8) / (1/4)]
k = 3/2
k = 1.5
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please give answer for brainlist
(a) The value of angle x in the cyclic quadrilateral is 103⁰.
(b) The value of angle y in the cyclic quadrilateral is 84⁰.
What is opposite angles of a cyclic quadrilateral?
In a cyclic quadrilateral, the opposite angles are always supplementary, which means they add up to 180 degrees.
The value of x and y is calculated as follows;
x + 77 = 180 (opposite angles of a cyclic quadrilateral are supplementary)
x = 180 - 77
x = 103⁰
y + 96 = 180 (opposite angles of a cyclic quadrilateral are supplementary)
y = 180 - 96
y = 84⁰
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Revenue control systems can help protect guests, employees, and revenues from the point of taking a guest's order to:
A) checking the guest out
B) locking the safe at night
C) making a bank deposit
D) closing out a shift
Answer:
i think is A
Step-by-step explanation:
because need to check first