Answer:
7560 cubic units
Step-by-step explanation:
10×9×7×12= 7560
Sorry if Im wrong :)
the apothem is the perpendicular distance from the _____ of a regular polygon to any one of its sides.
The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.
A closed, two-dimensional, flat or planar structure with straight sides is referred to as a polygon. Its sides do not bend in any way. A polygon's sides are also referred to as its edges. A polygon's vertices (or corners) are the places where two sides converge. Polygons and polyhedrons are two names for geometric shapes having three or more sides. The names of a few polygons are listed below. In order to link and develop projects and blockchains that are compatible with Ethereum, Polygon (MATIC), a cryptocurrency and technological platform, was introduced. A polygon is a fully closed, two-dimensional (2D), flat form with straight sides (all the sides are joined up). They must have straight sides. Any number of sides can be found in polygons.
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an experiment consists of observing the gender of a baby when it is born. a. list the outcomes in the sample space. b. list all possible events. c. if the baby is a girl, which event(s) in (b) has (have) occurred?
The concept is an experiment conducted on Probability. Probability tells us how frequently some event will be after numerous repeated trials.
Probability is a branch of mathematics that deals with numerical descriptions of the probability that an event will occur or the probability that a statement is true. The probability of an event is a number between 0 and 1,
The sample space refers to the list of all possible issues of a trial. Each possible outgrowth is represented by a single point in the sample space, irrespective of the number of ways that outgrowth can do.
Given:
A) In an experiment, the gender of a child is observed at birth.
A child can be of two sexes: male and female.
Let (M) be male and (F) be female and denote (S) the pattern space.
Then: S = {M,F}
B) The list of all possible outcomes is called the pattern space. If we name two children in the order of their birth, there are 4 possible outcomes. Using M for men and F for women can shorten the results. The list of all possible outcomes:
S={M, F} ,{M,M}, {F,F}
c) If the child were a girl, then from the previous scenario S= {F, F} would result.
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write an equation for the altitude from vertex A of the triangle where point a is (-1,0) point b is (8,-5) and point c is (2,-3)
The equation of the altitude from vertex A of the triangle is y = (3/2)x + 3/2.
To write an equation for the altitude from vertex A of the triangle where point A is (-1,0), point B is (8,-5), and point C is (2,-3), we need to use the slope-intercept form of an equation for the line that contains the side opposite vertex A. Here are the steps:
1. Find the slope of the line containing side BC using the slope formula: m = (yb - yc)/(xb - xc) = (-5 - (-3))/(8 - 2) = -2/3.
2. Find the equation of the line containing side BC using point-slope form: y - yb = m(x - xb). Using point B, we get: y + 5 = (-2/3)(x - 8). Simplifying, we get y = (-2/3)x + 19/3.
3. The altitude from vertex A of the triangle is perpendicular to side BC. Therefore, its slope is the negative reciprocal of the slope of side BC, which is 3/2.
4. We can find the equation of the altitude by using point-slope form again, this time using point A: y - ya = m(x - xa). Using point A and the slope 3/2, we get: y - 0 = (3/2)(x + 1). Simplifying, we get: y = (3/2)x + 3/2.
Summary: To find the equation of the altitude from vertex A of the given triangle, we first found the slope of the line containing the side opposite vertex A, which is BC. Then, we found the equation of this line using point-slope form. Next, we used the fact that the altitude is perpendicular to side BC and found its slope, which is the negative reciprocal of the slope of side BC. Finally, we used the point-slope form again to find the equation of the altitude using point A and its slope. The equation we obtained is y = (3/2)x + 3/2.
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Solve the equation using multiplication or division.
-7y=28
Oy=-4
Oy = 4
O y = 14
O y = 35
Answer:
y=-4
Step-by-step explanation:
-7y=28
DIVIDE BY -7
28/-7=-4
Answer=-4
find all values of c, such that the following linear system c 1 0 0 c 1 0 1 c x1 x2 x3 = 0 2 2 has (a) one unique solution; (b) no solution; (c) infinite many solutions.
(a) For one unique solution, c cannot be equal to 0 or 2.
(b) For no solution, c must be equal to 0 or 2.
(c) For infinite many solutions, c can be any value except for 0 or 2.
To solve the linear system, we can use row operations to reduce the augmented matrix to the echelon form. This gives us:
(1) c 1 0 | x1
(2) 0 c-2 2 | x2
(3) 0 0 c-1 | x3-2x2
From this, we can see that the system has one unique solution if and only if the matrix is invertible, which occurs when c is not equal to 0 or 2. If c is equal to 0 or 2, then the matrix is not invertible, and the system has no solution.
If c is not equal to 0 or 2, then the matrix is in echelon form, and we can solve for x1, x2, and x3. In this case, the system has infinitely many solutions, as there is at least one free variable (x2 or x3, depending on the value of c).
Therefore, the values of c that lead to one unique solution are all real numbers except for 0 and 2, the values that lead to no solution are 0 and 2, and the values that lead to infinitely many solutions are all real numbers except for 0 and 2.
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4.(02.02 MC)Demarcus will be 24 years old when he graduates. If the mean brweekly wage of his career is $2456.00, what will his lifetime earrings be when he retires at the of65 (1 point)O $100,79600$1.000 76.00$261896.00$5226,192.00
Given:
Weekly wage = $2456
A career starts 24 years and ends in 65 years.
Find-: Lifetime earring.
Sol:
Total years of working is:
\(\begin{gathered} =65-24 \\ =41 \end{gathered}\)In one year 52 weeks
For 41 years total week is:
\(=41\times52\)Lifetime earnings.
\(\begin{gathered} =41\times52\times2456 \\ =5236192.00 \end{gathered}\)So lifetime earning is 5236192.00
a(n) ________ is a representation of reality or a real-life situation. group of answer choices objective algorithm analysis none of these model
A model is a representation of reality or a real-life situation. The correct answer is E.
The correct answer is "model."A model is a representation of reality or a real-life situation. It can be used to simulate or describe the behavior of a system, process, or phenomenon.
Models are often used in various fields such as science, engineering, economics, and computer science to understand and analyze complex systems or make predictions about real-world scenarios.
A model is a simplified or abstract representation of a real-life situation or system. It captures the essential features or characteristics of the system while ignoring or simplifying irrelevant details. Models can be physical, conceptual, or mathematical in nature.
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A student has heard that spinning pennies on a table, rather than flipping them in the air, results in tails side up 65% of the time. If this is true, what is the probability that a student who spins 4 pennies will have them all land tails side up?
A. 0. 0150
B. 0. 1785
C. 0. 8215
D. 0. 9850
The probability that a student who spins 4 pennies will have them all land tails side up is 0.1785.
Given, A student has heard that spinning pennies on a table, rather than flipping them in the air, results in tails side up 65% of the time.
Now, we have to find the probability that a student who spins 4 pennies will have them all land tails side up.
so, the required probability is
65/100×65/100×65/100×65/100
= 1,78,50,625/100000000
= 0.1785
So, the probability that a student who spins 4 pennies will have them all land tails side up is 0.1785.
Hence, the probability that a student who spins 4 pennies will have them all land tails side up is 0.1785.
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Find the slope of the line containing the given points
5) A(-2,2) and B(0,4)
The slope of the line with the given coordinates A(-2,2) and B(0,4) is 1.
What is the slope of the line with the given coordinates?Slope is simply expressed as change in y over the change in x.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Given the data in the question;
Point A (-2,2)
x₁ = -2y₁ = 2Point B (0,4)
x₂ = 0y₂ = 4Plug the given x and y values into the slope formula and simplify.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Slope m = ( 4 - 2 )/( 0 - (-2) )
Slope m = ( 2 )/( 2 )
Slope m = 1
Therefore, the slope of the line is 1.
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ASAP HELP 100 POINTS
Consider this system of equations.
p=2n
p-5 = 1. 5n
What value of n makes the system of equations true?
Enter your answer in the box.
Therefore, the value of n that makes the system of equations true is n = 10.
Given:
p = 2n
p - 5 = 1.5n
Substituting the value of p from the first equation into the second equation, we have:
2n - 5 = 1.5n
Next, we can solve for n by subtracting 1.5n from both sides of the equation:
2n - 1.5n - 5 = 0.5n - 5
Simplifying further:
0.5n - 5 = 0
Adding 5 to both sides of the equation:
0.5n = 5
Dividing both sides by 0.5:
n = 10
Therefore, the value of n that makes the system of equations true is n = 10.
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On april 8th, a flower at blooming acres florist was 15. 0 centimeters tall. On april 16th, the flower was 17. 4 centimeters tall. If the flower grew at a constant rate, on what day was the flower 16. 5 centimeters tall?.
We need to know about rate of change to solve the problem. The flower was 16.5 cm tall on 13th April.
Rate of change is the rate at which a quantity changes over time, the rate of change might be increasing or decreasing. We know that the flower was 15 cm tall on 8th April and it grew to become 17.4 cm tall on 16th April, we can find the rate of growth of flower from this information. We need to use the rate of change to find out in how many days the flower will be 16.5 cm tall.
rate of growth= 17.4-15/16-8=0.3 cm
number of days to grow by 1.5 cm =1.5/0.3=5
Therefore the flower becomes 16.5 cm tall on 13th April.
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Help pleasee. I have no idea how to do this
Rewrite 7.25 as a mixed number in lowest terms.
A)7 2/5
B)7 1/4
C)7 25/100
D)7 1.5
Answer:
B
Step-by-step explanation:25 as a percent is 1/4 of 100 and the seven is the whole number since they are full numbers not decimals
I need help figuring with equation has one solution, infinite solution, and no solution
For each equation, determine whether it has no solutions, one solution, or infinite solutions. If it has one solution, solve to find the value of x that makes the statement true. Show/explain your reasoning.
a. x-4(3-2x)=3(3x+4) b. x-4(3+2x)=3(3x-4) c. x-4(3-2x)=3(3x-4)
Answer:
x2+5x+6=0
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
What are the 3 types of rigid transformations?
Three types of rigid transformations are Reflection, Rotation, and Translation. Rigid transformation, also called isometry.
A rigid transformation, also called isometry, is a transformation that doesn't change the size or shape of a geometric figure. The following are 3 types of rigid transformation:
1. Reflection
→ is the act of shifting an object's coordinates that flip it across a line without changing its shape or size. Horizontal (draw a figure to the left or right) or vertical (draw a figure to the up or down) reflections are possible. The result of reflection is a mirror image of the figure itself.
The figure is reflected across \(x-\) or \(y-\) axis, and then change \(x-\) or \(y-\) coordinate.
2. Rotation
→ is the non-modification of an object's size or shape by rotating it around an fixed point. A center of rotation is required to rotate an object. And the rotation did by using a degree.
The figure is rotated by a degree (ex: 90°), and then change \(x-\) or \(y-\) coordinate. Meanwhile, a point's center rotation stays at the same.
3. Translation
→ is sliding a figure in any direction without changing its size, shape, or orientation. Translation could be horizontal (make a figure left or right), or vertical reflections (make a figure up or down).
Vertical translation is shifting the graph along \(y-\) axis
Horizontal translation is shifting the graph along \(x-\) axis.
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Hector states that the figure to the right is a polygon is not regular. Do you agree with hector. Explan
Yes, i agree with hector. The polygon in above figure is irregular due to unequal side lengths and Hector also states that it is not regular or irregular.
A polygon is a 2-D geometric figure that has a finite number of sides. The sides are equal in length. It is a closed shape formed by end to end joining of straight line segments. For examples of regular polygons are square, rhombus, equilateral triangle, etc.
An irregular polygon, also called a non-regular polygon. It is a shape that does not have all sides of equal length and all angles of equal. For examples scalene triangle, rectangle, kite etc. are examplses of irregular polygon.
Now, we have a polygon present in above figure. As we see that this figure has 8 sides and length of one side is equal to its opposite side, but all sides are not equal length. So, it is an irregular polygon. Hector also states that above figure is irregular polygon. Hence, i agree with hector.
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Complete question:
Hector states that the figure to the above is a polygon is not regular. Do you agree with hector. Explan
the radius of a right circular cone is increasing at a rate of 1.4 in/s while its height is decreasing at a rate of 2.6 in/s. at what rate is the volume of the cone changing when the radius is 144 in. and the height is 138 in.?
Answer:
Let's use the formula for the volume of a right circular cone to solve this problem:
V = (1/3)πr^2h
We are given that the radius is increasing at a rate of 1.4 in/s and the height is decreasing at a rate of 2.6 in/s. We want to find the rate at which the volume is changing when the radius is 144 in. and the height is 138 in. In other words, we want to find dV/dt when r = 144 and h = 138.
Using the chain rule of differentiation, we can express the rate of change of the volume as follows:
dV/dt = (dV/dr) (dr/dt) + (dV/dh) (dh/dt)
To find dV/dr and dV/dh, we differentiate the formula for the volume with respect to r and h, respectively:
dV/dr = (2/3)πrh
dV/dh = (1/3)πr^2
Substituting the given values and their rates of change, we have:
dV/dt = (2/3)π(144)(138)(1.4) + (1/3)π(144)^2(-2.6)
dV/dt = 55,742.4 - 1,994,598.4
dV/dt = -1,938,856 in^3/s
Therefore, when the radius is 144 in. and the height is 138 in., the volume of the cone is decreasing at a rate of approximately 1,938,856 cubic inches per second.
Step-by-step explanation:
okay so i put this in math but its music, technically music uses math so the question
What impact did Pythagoras have on the history of music?
huck can paint a fence in 5 hours. if tom helps him paint the fence they can do it in 3 hours. how long would it take for tom to paint the fence by himself? (hint: use the equation from
Assuming that the rates are constant, we can see that Tom can paint the fence in 7.5 hours.
How long would it take for tom to paint the fence by himself?Here we will use equations of the form:
(rate at which person x paints)*(time) = 1 fence painted.
We know that Chuck can paint a fence in 5 hours, then if C is the rate (assuming this is constant), we can write:
C*5 hours = 1 fence
C = (1/5) fences per hour.
And let's say that Tom's rate is T.
When they work together, the rate is:
(C + T)
And they can paint the fence in 3 hours, then:
(C + T)*3 hours = 1 fence
Replacing the value of T we will get:
( 1/5 fences per hour + T)*3 hours = 1 fence
1/5 fences per hour + T = 1/3 fences per hour.
T = (1/3 - 1/5) fences per hour
T = (5/15 - 3/15) fences per hour
T = 2/15 fences per hour.
Then Tom paints the fence in:
(15/2) hours = 7.5 hours.
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estimate then divide using the standard algorithnm and check 45.15 /21
In mathematics, division is one of the four basic arithmetic operations. It involves the sharing of a number of items equally into a number of groups. For instance, consider dividing 45.15 by 21 using the standard algorithm and then check the answer.
_2.1|_4_5_.1_5_____
2.1 (first estimate)
___
2.9 (subtraction)
2.1 (second estimate)
___
8_5 (subtraction)
8_4 (third estimate)
___
1_5 (subtraction)
Therefore, 45.15 ÷ 21 = 2.147619047619048. To check our answer, we need to multiply the quotient by the divisor to verify if the product is equal to the dividend. In this case, we have 2.147619047619048 × 21 ≈ 45.15. Thus, the answer to 45.15 ÷ 21 is 2.147619047619048, and the check shows that the division is correct.
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Question 7. 5 points) Calculate the five number summary for the following box-and-whisker diagram. 5 6 15 7 8 9 10 10 0 Write your answers in increasing order.
We will put our data in ascending order first, as below.
\(5\text{ 6 15 7 8 9 10 10 0 }\rightarrow0\text{ 5 6 7 8 9 10 10 15 }\)Five number summary are essentially five numbers that distinguish the given data, they are.
the sample minimum (smallest observation)
the lower quartile or first quartile
the median (the middle value)
the upper quartile or third quartile
the sample maximum (largest observation)
Let us calculate all of these in the data that we have been provided with.
(1) Median = mean of the two middle values, in this case, we have odd number of values, so we can take the middle three and take their average, therefore -> median = (7+8+9)/3 = 23/3
(2) Sample minimum = smallest number = 0
(3) Sample maximim = largest number = 15
(4) lower quartile = is the medain of the first group = (5+6)/2 = 11/2
(5) Upper quartile = median of the second group = (10+10)/2 = 10
therefore our five numbers are ,
0 11/2 23/3 10 15
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Jordan earns $11.35 per hour and works 40 hours per week. He then earns a 20% pay raise. How mu
ch money will Jordan now make each week?
Answer:
He would be making 544.8$ each week
Step-by-step explanation:
Where is the point -3,4 located on a coordinate plane?
Answer:
It is located 3 to the right and 4 up or in the second quadrant
Step-by-step explanation:
Answer:
See the image that has been attached.
Step-by-step explanation:
On a coordinate plane, the x value is always first in a coordinate pair. The y value is second.
This means that -3 is the x value. X values go left and right, so -3 is three left from 0,0.
The same goes for the y value. Since the y value is 4, the y value is 4 is 4 up from 0,0.
the three perpendicular bisectors of a triangle intersect in one point called the
A university is trying to determine what price to charge for tickets to football games. At a price of $30 per ticket, attendance averages 40,000 people per game. Every decrease of $5 adds 10,000 people to the average number. Every person at the game spends an average of $5.00 on concessions. What price per ticket should be charged in order to maximize revenue? How many people will attend at that price? GRIDE What is the price per ticket? $17.50 Bu Cheek ||| Get more help
The price per ticket that maximizes revenue is $15.00, and the attendance at that price will be 70,000.
To determine the price per ticket that maximizes revenue for football games, we can use the following approach:
Let's define the number of 10,000s of people attending the game as G. So, G = 4 represents 40,000 people attending. The revenue function R is given by:
R(G) = (30 - 5G) * G * 50000
To find the maximum revenue, we take the derivative of the revenue function with respect to G and set it equal to zero:
R′(G) = 250,000 - 150,000G = 0
Solving for G, we find G = 5/3 = 1.67. Rounding up to the nearest whole number, G becomes 2, which corresponds to 50,000 people attending the game.
Now, let's calculate the price per ticket that maximizes revenue by dividing the revenue by the number of people attending:
P = R(2) / 50,000 = (30 - 5 * 2) * 2 * 50,000 = $1,000,000 / 50,000 = $20.00
However, since decreasing the price by $5 increases attendance by 10,000 people, it follows that increasing the price by $5 decreases attendance by 10,000 people. Therefore, the revenue will also be maximized when the price per ticket is $15.00.
At a price of $15.00 per ticket, the attendance will be 70,000 (the maximum attendance), and the revenue will be $1,050,000.
In summary, the price per ticket that maximizes revenue is $15.00, and the attendance at that price will be 70,000.
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Madison took a taxi from her house to the airport. The taxi company charged a pick-up fee of $3.20 plus $5 per mile. The total fare was $98.20, not including the tip. Write and solve an equation which can be used to determine
m, the number of miles in the taxi ride.
Answer:
19 miles
Step-by-step explanation:
hope this helps!!
What is the distance between the bakery (b) and the library (c)? Explain using coordinate subtraction
Answer:
The distance between the bakery and the library is the length of BC. The endpoints of this line segment are B(0, 4) and C(3, 4). Because the y-coordinates of both points are the same (4), the length of BC can be found by subtracting the smaller x-coordinate from the greater x-coordinate: BC = 3 - 0 = 3 units. The distance between the bakery and the library is 3 blocks.
Step-by-step explanation:
I did the activity, this is the sample answer.
which function is nonlinear ?y=4x^3 , y=4x+3 , y=-4/3x
Answer:
y=4x³ is not linear
Step-by-step explanation:
All of the equations produce lines, one of the characteristics of a linear function, except for y=4x³ where the graph is a curve. Refer to the graph attached to see this.
4) Point (1, 4) is reflected over the y-axis. What are the new coordinates?
Answer:
(-1,4)
Step-by-step explanation:
Reflection Rule for over the y axis: A(x,y) A'(-x,y)
Hope this helps!
Answer:
-1,4
Step-by-step explanation: