Answer:
slope = -5/8
Step-by-step explanation:
Use the rise and the run from point C to point D to find the slope of the line.
C is at (7 , -2)
D is at (15 , -7)
slope = change in y / change in x
slope = (-2 - (-7)) / (7 - 15)
slope = (-2 + 7) / -8
slope = 5/-8
slope = -5/8
each of the six faces of a cube is painted either black or white. two cubes are considered identical if one cube can be rotated to look like another. how many distinct cubes are possible
the distinct cubes are possible from the arrangement is 10
What is probability?
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.
each of the six faces of a cube is painted either black or white.
two cubes are considered identical if one cube can be rotated to look like another.
All 6 sides black.
1 side white and 5 side black.
2 adjacent sides white and other 4 sides black.
2 opposite sides white and other 4 sides black.
3 sides with same corner white and other 3 black.
2 opposite sides and 1 center side white and other 3 black.
2 adjacent sides black and other 4 sides white.
2 opposite sides black and other 4 sides white.
1 side black and 5 sides white.
So total is 10
Hence, the distinct cubes are possible from the arrangement is 10.
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Jude Scored 10 out of 35 points playing basketball while Tom scored 18 out of 46 points in a different game. Who got the highest score? Use percentage to find out. Show your working (please also answer in %)
Answer:
To find the percentage score for Jude, we need to divide the number of points scored by the total number of points and multiply the result by 100. This can be written as:
Percentage score for Jude = (10/35) * 100 = 28.57%
To find the percentage score for Tom, we need to divide the number of points scored by the total number of points and multiply the result by 100. This can be written as:
Percentage score for Tom = (18/46) * 100 = 39.13%
Since Tom scored a higher percentage of points compared to Jude, Tom got the highest score.
A company orders 30 boxed lunches from a deli for $295.50. If each boxed lunch costs the same amount, how much do 9 boxed lunches cost?
the airplane you are flying burns 10 gallons of fuel per hour. how many gallons of fuel will you consume during a 120 nautical mile flight with a ground speed of 100 nautical miles per hour.
Total 12 gallons of fuel was burned
What is the relation between Time, Spped and Diatnce?
The formula speed distance time is used to describe the connection between speed, distance, and time. That is, speed = distance / time. To put it another way, distance divided by speed equals time. You can figure out the third input if you know the first two.
Solution:
10 gallons fuel is burned per hour
Distance Travelled by the Plane = 120 nautical miles
Speed of the Plane = 100 nautical miles per hours
Time = Distance / Speed
Time = 120 / 100 = 1.2 hours
Since 10 gallons of fuel is burned every hour, so total fuel burned in 1.2 hours is 12 gallons
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The graph represents the total charges for a taxi that gets $6 to board and $1.25 per mile. What information is represented on the x-axis? Which domain values are significant to the function?
Responses
A charge per mile; x ≥ 1.25charge per mile; x ≥ 1.25
B distance the customer rides; all real numbers distance the customer rides; all real numbers
C boarding charge; x = 6boarding charge; x = 6
D distance the customer rides; x ≥ 0distance the customer rides; x ≥ 0
The domain value that are significant to the function ie distance the customer rides ; x ≥ 0
What is domain ?
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
The domain of a graph is made up of all the input values displayed on the x-axis since the term "domain" refers to the set of potential input values. The various output values are represented on the y-axis as the range.
the domain represents the number of miles a customer rides. since distance cannot be negative, the only significant values on this graph are x≥ 0.
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if one check in 10,000 is forged, 5% of all checks are postdated, and 80% of forged checks are postdated, find the probability that a postdated check is forged. (round your answer to five decimal places.)
The probability that a postdated cheque is forged is 0.8 .
In the question ,
it is given that ,
there is 1 cheque forged in 10000 cheques.
the percent of postdated cheques = 5% ,
So , the number of Post-dated cheque = 0.05*10,000 = 500
the percent of cheques that the postdated cheque is forged is = 80%
the number of Forged cheque that are post-dated = 0.8*500 = 400
So , Probability (post-dated check is forged) = (Forged check that are post-dated)/(post dated checks)
Substituting the values ,
we get ,
= 400/500
= 0.8
Therefore , the required probability is 0.8 .
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a reservation center gets on average 12 notifications per hour on weekday mornings. round probability answers to 4 decimal places, i.e. .xxxx do not include leading or ending zeros. what is the probability they get 5 notifications in 30 minutes? what is the probability they get 10 or less notifications in one hour?
Probability of getting 5 notifications in 30 minutes: 0.0625 and Probability of getting 10 or less notifications in one hour: 0.9961
Probability of getting 5 notifications in 30 minutes:
The average number of notifications per hour is 12, so the average number of notifications in 30 minutes is 6.
Therefore, the probability of getting 5 notifications in 30 minutes is
P(5 Notifications) = (6 C 5)*(1/2^6)
P(5 Notifications) = 0.0625
Probability of getting 10 or less notifications in one hour:
The probability of getting 10 or less notifications in one hour is the sum of the probabilities of getting 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 notifications in one hour.
We can calculate this probability as
P(≤ 10 Notifications) = (12 C 0)(1/2^12) + (12 C 1)(1/2^12) + (12 C 2)(1/2^12) + (12 C 3)(1/2^12) + (12 C 4)(1/2^12) + (12 C 5)(1/2^12) + (12 C 6)(1/2^12) + (12 C 7)(1/2^12) + (12 C 8)(1/2^12) + (12 C 9)(1/2^12) + (12 C 10)*(1/2^12)
P(≤ 10 Notifications) = 0.9961
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the segments shown below could form a triangle?
Answer:
arrange them in a triangle shape, and there is a triangle
Step-by-step explanation:
Liam is solving the equation for `x`. Original equation: `12x+4=20x-12` The result of Liam's first step was `4=8x-12`. Describe the first step Liam made for the equation.
Liam has moved the variable 1x2 to the RHS and combined the like terms.
What is a linear function?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
Given, Liam is solving the equation for 'x' for the equation:
12x + 4 = 20x - 12.
Now the result of his first step is 4 = 8x - 12.
So, what he did is moved 12x to the RHS and combined the like terms which is,
4 = 20x - 12x - 12.
4 = 12x - 12.
We can also solve for 'x'
4 = 12x - 12.
+ 12 + 4 = 12x.
16 = 12x.
x = 16/12.
x = 4/3.
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find an equation for the circle that goes through the points (0, 0), (0, 8), and (6, 12). find an equation for the line that is tangent to this circle at (6, 12).
The equation for circle is 28g + 16f =260
and the equation of tangent to this circle is y = [tex]\frac{6}{12}[/tex] x +29
a) the main equation of circle is ax + by +2gx+ 2fy +c =0 --------- (1)
Now,
putting the points (0,0) , (0,8) and (6,12) one by one, we get,
For the point (0,0), we get:
c =o ----------------------------- (2)
For the point (6,12), we get:
6x +12y + c = (6)² + (12)²
⇒ 6x +12y +c = 36 +144
⇒ 6x +12y +c = 180 --------------------------- (3)
For the point (0,8), we get,
8y + c = 64 ----------------------------- (4)
putting c=0,
8y +0 = 64
⇒ y =64/8
⇒ y = 8
Putting c=0 and y =8, we get,
6x + 12×8 +0 = 180
⇒ 6x + 96 =180
⇒ 6x = 84
⇒ x = 14
Putting all the values in equation (1), we get:
(14)² + (8)² +28g +16g + 0 = 0
⇒ 196 + 64 + 28g +16f =0
⇒ 28g + 16f = 260
b) As we know the tangent from the circle:
y = mx + c
⇒ 8 = -12/6 × 14 +c
⇒ c = 29
Therefore, the equation of the tangent is y = [tex]\frac{6}{12}[/tex]x + 29
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Katarina tosses a thumbtack on the ground 202020 times to see if it lands on its side or if it lands with the point facing up (there are no other possible outcomes). Let s=s=s, equals the number of times it lands on its side. Is sss a binomial variable? why or why not?.
Each prerequisite for a binomial variable is met in this circumstance, hence SSS has a binomial distribution.
What is a binomial variable?In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and having its own Boolean-valued outcome: success (with probability p) or failure (with probability q=1-p). For a single trial, or n = 1, the binomial distribution is a Bernoulli distribution. A single success/failure experiment is also known as a Bernoulli trial or experiment, while a succession of results is known as a Bernoulli process. The widely used binomial statistical significance test is based on the binomial distribution.
True. Each trial has two possible results (it either lands on one side or it doesn't), each trial's findings are independent, there are a fixed number of trials (202020), and each trial has the same chance of success.
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Margo was helping clean up after a class party. There were 3 boxes remaining with pizza in them. Each box had 3 of a pizza left. How much pizza was left in all?
Answer:
9 pizzas
Step-by-step explanation:
Since there were 3 boxes which each 3 pizzas, you're gonna need to solve using an easy multiplication problem; 3*3, which is 9. So it's 9 pizzas
A line has a slope of -½ and a y-intercept of -6. What is an equation of the line in slope-intercept form? A y=-1/2x-6 B y-1/2x=-6 C y-6=-1/2x D y=1/2x-6
The equation of the line in slope-intercept form y = -1/2x + 6
What is the Slope Intercept Form ?The slope intercept form of a straight line is one of the most common ways to show the equation of a line. The slope intercept formula can be used to calculate the equation of a line when the y-intercept and slope of the straight line are known ( the y-coordinate of the point where the line intersects the y-axis). The equation of a line is the equation that each point on the line fulfils.
It is represented as y = mx + b
According to the given information
We are given that
Slope m = -1/2
y-intercept ( b ) = 6
Slope Intercept Form
y = mx + b
Putting the values in above equation
y = -1/2x + 6
The equation of the line in slope-intercept form y = -1/2x + 6
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the product nn of three positive integers is 6 times their sum, and one of the integers is the sum of the other two. find the sum of all possible values of nn.
The sum of all possible values of N is 336.
What is an integer?
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.
Here, we have
Let the three integers be a, b, and c.
N = abc = 6(a + b + c) and c = a + b.
Then N = ab(a + b) = 6(a + b + a + b) = 12(a + b).
Since a and b are positive, ab = 12
so {a, b} is one of {1, 12}, {2, 6}, {3, 4}
a + b is one of 13, 8, 7
N is one of 12× 13 = 156, 12× 8 = 96, 12×7 = 84
156 + 96 + 84 = 336.
Hence, the sum of all possible values of N is 336.
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i always get it wrong.
The situations represented by 25/9 are "Melanie equally shares 25 meters of paper to create 9 banners" and "Joe makes 9 equal servings from a 25 ounce bag of peanuts".
What is an expression?Expression in mathematics is combination of variables with the use of operations and given rules. It can be in the form of equation, numbers etc.
We have the expression 25/9.
That means 25 divided in 9 equal parts.
Now the expression 1,
Melanie equally shares 25 meters of paper to create 9 banners.
We have to divide 25 meters of paper into 9 equal banners.
The above expression can be written as a mathematical term,
and that is 25/9.
Now the expression 2,
Quill gives away 9 baseball cards from a pack of 25.
In mathematical terms; 25 - 9.
Now the expression 3,
George invites 25 kids and 9 adults to his birthday party.
That means, the total 25 + 9 = 34 people
In mathematical terms : 25 + 9
Now the expression 4,
Becca creates 9 rows with 25 buttons each.
That means, each row has 25 buttons.
So the total 9 rows have 9 x 25 buttons.
In mathematical terms : 9 x 25
Now the expression 5,
Joe makes 9 equal servings from a 25 ounce bag of peanuts.
That means 25 ounce bag of peanuts equally divided into 9 parts.
In mathematical terms : 25/9
Therefore, expression 1 : Melanie equally shares 25 meters of paper to create 9 banners and expression 5: Joe makes 9 equal servings from a 25 ounce bag of peanuts, represented by 25/9.
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here is the graph of a linear equation. Select all true statements about the line and its equation one point is -1, 1 and another point is 3, 2
The linear function that goes through the points (-1, 1) and (3,2) is defined as follows:
y = 0.5x + 1.5.
How to define the linear function?The slope-intercept of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change of the function.b is the intercept, representing the value of y at which the graph of the function crosses the y-axis.The two points on the graph of the function are given as follows:
(-1,1) and (3,2).
Given two points, the slope is calculated as the change in y divided by the change in x, hence:
m = (2 - 1)/(3 - (-1)) = 2/4 = 0.5.
Hence:
y = 0.5x + b.
When x = -1, y = 1, hence the intercept b is obtained as follows:
1 = 0.5(-1) + b
b = 1.5.
Thus the equation is:
y = 0.5x + 1.5.
Missing InformationThe problem is incomplete, hence I will suppose that it asks for the definition of the equation, which will help you find whichever the correct statements are.
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Graph this line using interepts
2x-5y=10
Answer:
2-5 will give you -3 then 10 divide by -3 will give you 7
How many times smaller is 1.2 × 10 to the power of 6 than 1.38 × 10 to the power of 7?
0.18
1.15
8.7
11.5
1.2 x [tex]10^6[/tex] is 11.5 times smaller than 1.38 x [tex]10^7[/tex]
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
1.2 x [tex]10^6[/tex] and 1.38 x [tex]10^7[/tex]
We see that,
1.2 x [tex]10^6[/tex] x 11.5 = 1.38 x [tex]10^7[/tex]
This means,
1.2 x [tex]10^6[/tex] is 11.5 times smaller than 1.38 x [tex]10^7[/tex]
Thus,
1.2 x [tex]10^6[/tex] is 11.5 times smaller than 1.38 x [tex]10^7[/tex]
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if a person had an initial roland-morris score of 20 and a final score of 6, what would the percent improvement be?
70% percentage of the original roland-morris score of 20 was improved to the final score of 6.
Given that,
We have to find what percentage of the original roland-morris score of 20 was improved to the final score of 6.
We know that,
The original roland-morris score of 20 was improved to the final score of 6.
The initial score = 20
Final Score = 6
The improvement is 20 - 6 = 14
So,
The percent improvement is (14/20)* 100 = 70%
Therefore, 70% percentage of the original roland-morris score of 20 was improved to the final score of 6.
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Write System
Horatio has 57 coins consisting of nickels, dimes, and quarters. He has twice as many dimes as nickels. If
the coins are worth a total of $7.25, which system of equations is used to determine how many of each coin
Horatio has?
A n+d+q=57
n = 2d
0.05n+ 0.10d+0.25g = 7.25
B. n+d+q=57
n = 2d
5n+ 10d 25g = 7.25
C. n+d+q=57
d=2n
0.05n+0.10d+ 0.25g = 7.25
D. n+d+g 57
d=2n
5n+ 10d 25g = 7.25
The system of equations of Horatio's coins is (c) d = 2n, n + d + q = 57 and 0.05n + 0.10d + 0.25q = 7.25
How to determine the system of equations?From the question, we have the following parameters that can be used in our computation:
Number of coins = 57
Worth of coins = $7.25
Type of coins = Nickel, dimes and quarters
Twice as many dimes as nickels
Represent the nickels with n, the dimes with d and the quarters with q
So, we have the following representation
n + d + q = 57
When the nickels, dimes and quarters are converted to dollars, we have the following representations
Nickels = $0.05
Dimes = $0.10
Quarters = $0.25
So, we have the following representation
0.05n + 0.10d + 0.25q = 7.25
Recall that
He has twice as many dimes as nickels
This means that
d = 2n
Hence, the system of equations is d = 2n, n + d + q = 57 and 0.05n + 0.10d + 0.25q = 7.25
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PLEASE help meeeee pleasee
Answer: y = -1/3x -1
Step-by-step explanation:
The slope is -1/3, and it crosses the y axis at (0,-1)
What are functions in Excel how many types of functions do you know give 2 examples for each function?
Important functions in Excel;
The SUM function
The TEXT function
The VLOOKUP function
The AVERAGE function
The CONCATENATE Function
Given,
Functions in Excel;
Functions are pre-written formulas that carry out calculations by utilising particular values, referred to as inputs, in a given order, or structure. Calculations of any complexity can be carried out using functions. The Formulas tab on the Ribbon contains the syntax for all of Excel's functions.
The most important five functions in Excel are given below;
The SUM functionEg; =SUM(A2:A10) Adds the values in cells A2:10. =SUM(A2:A10, C2:C10) Adds the values in cells A2:10, as well as cells C2:C10.
The TEXT functionEg; In Excel, the value 12200000 appears as 12,200,000 if the format string is "#,###". A comma after a placeholder for a digit multiplies the number by 1,000. The format string "#,###. 0," for instance, causes Excel to show the number 12200000 as 12,200.0.
The VLOOKUP functionEg; =VLOOKUP(90,A1:B100,2,TRUE). Exact match - 0/FALSE searches for the exact value in the first column.
The AVERAGE functionEg; if the range A1:A20 contains numbers, the formula =AVERAGE(A1:A20) returns the average of those numbers.
The CONCATENATE FunctionEg; Add double quotation marks with a space between them " ". For example: =CONCATENATE("Hello", " ", "World!").
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A group of friends wants to go to the amusement park. They have no more than $80 to spend on parking and admission. Parking is $14.75, and tickets cost $11.25 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.
Answer:
To determine the number of people who can go to the amusement park, we need to write an inequality that represents the total cost of parking and admission, which is the maximum amount of money that the group has. Let x represent the number of people who can go to the amusement park. The total cost of parking and admission can be represented by the inequality 14.75 + 11.25x ≤ 80. To solve this inequality, we need to find the values of x that make the inequality true. We can do this by isolating the variable on one side of the inequality. To do this, we need to subtract 14.75 from both sides of the inequality: 14.75 + 11.25x ≤ 80
-14.75 -14.75
11.25x ≤ 65.25
Next, we need to divide both sides of the inequality by 11.25 to isolate the variable on one side of the inequality: 11.25x ≤ 65.25
x ≤ 5.77
Since the number of people must be a whole number, we can round down to find the maximum number of people who can go to the amusement park: x ≤ 5
This means that no more than 5 people can go to the amusement park if they want to stay within their budget.
Step-by-step explanation:
(03.02, 03.03, 03.04 MC)
The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price of two products, A and B, over time.
The price f(x), in dollars, of product A after x years is represented by the function below:
f(x) = 0.69(1.03)*
Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)
Part B: The table below
hows the price f(t), in dollars, of product B after t years:
t (number of years)
1
2
3
f(t) (price in dollars) 10,100 10,201 10,303.01
4
10,406.04
1) The price of part A is increasing by 3% per year.
2) Product A recorded a greater percentage change in price over the previous year.
How to calculate the percentage change in price?The percentage change in price is calculated by the formula,
% change = (New price - old price)/old price × 100
If the difference between the new price and the old price is positive, then it is said to be increasing and if it is negative, it is said to be decreasing.
Calculation:It is given that,
Maco is studying the change in the price of two products, A and B, over time.
Part A: For product A, the price in dollars is given by f(x) and the time is given by x.
I.e., f(x) = 0.69(1.03)ˣ
From this, product A has f(1) = 0.69(1.03)¹ = 0.71 and f(2) = 0.69(1.03)² = 0.73.
Then, the difference between f(2) and f(1) for product A is
f(2) - f(1) = 0.73 - 0.71 = 0.02
So, the % change of product A is increasing per year and it is
% increase = (f(2) - f(1))/f(1) × 100 = (0.02/0.71) × 100 = 2.89 ≅ 3%
Thus, the percentage of increase in product A is 3%.
Part B: For product B, the price in dollars is given by f(t) and the time is given by t.
I.e.,
t (in years) - 1 2 3 4
f(t) (price) - 10,100 10,201 10,303.01 10,406.04
From this, product B has f(1) = 10,100 and f(2) = 10,201
Then, the difference between f(2) and f(1) for product B is
f(2) - f(1) = 10,201 - 10,100 = 101
So, the % change of the product B is increasing per year and it is
% increase = (f(2) - f(1))/f(1) × 100 = (101/10100)× 100 = 1%
Therefore, product A has a greater percentage of increase than product B.
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Simplify (-5x-4)divided by(-3+5)
The given expression is simplified to obtain as (-2.5x - 2).
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is (-5x - 4) ÷ (-3 + 5)
It can be simplified as follows,
(-5x - 4) ÷ (-3 + 5)
= (-5x - 4) ÷ 2
Divide each term of -5x - 4 by 2 as below,
(-5x/2 - 4/2)
= (-2.5x - 2)
Hence, the simplification of the given expression is obtained as (-2.5x - 2).
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Please help!!! i need this done by tonight!!
with dsa, because the value of k is generated for each signature, even if the same message is signed twice on different occasions, the signatures will differ. this is not true of rsa signatures. what is the practical implication of this difference?
DSA is only used for signature purposes but RSA is used for cryptographic purposes.
But somehow DSA uses discrete logarithms for Encryption and in RSA long-term calculations are used which is more secure as compared to DSA.
Now while signing messages with DSA leads to a more time and more memory-consuming process because at every point the message is signed. So the verification of signatures gets complicated.
But in the case of RSA, the calculations are high, but they consume less memory and less need for verification. Because of large calculations, RSA is much slower than DSA.
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help will mark brainliest and give points
Answer:
I will gladly assist you with your problem! (see explanation)
Step-by-step explanation:
Suppose that the tower's height is t and that the necessary distance is x.
To determine the value of t, use comparable triangle ratios:
[tex]t / 10 = (9 + 3) / 3t / 10 = 4t = 40 feet[/tex]
Use Pythagorean Theorem to find the value of x:
[tex]x^{2} =40^{2} +(9+3)^{2} \\x^{2} =1600+144\\x^2=1744\\x=\sqrt{1744} \\x= 42 feet[/tex](answer is rounded)
(I hope this helps solve your problem )
Simplify fully
4x2 + 4x
—————
2x2 - 2
Answer:
2x
x-1
Step-by-step explanation:
Find the volume of a cube with one edge of length 7.6 cm.
The required volume of the cube is 439cm³.
What is a cube?A cube is a three-dimensional solid object in geometry that is surrounded by six square faces, facets, or sides, three of which meet at each vertex.
It seems to be a hexagon when viewed from a corner, and its net is frequently portrayed as a cross.
One of the five Platonic solids, the cube is the only regular hexahedron.
So, the cube volume formula:
V = a³
We have the length of the side of the cube which is 7.6.
Now, insert it in the formula as follows:
V = a³
V = 7.6³
V = 7.6 * 7.6 * 7.6
V = 438.976
Rounding off: 439cm³
Therefore, the required volume of the cube is 439cm³.
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