The quadratic equation with the given x-intercepts and that passes through the point (1, 192) is the one in option D.
y = -8x^2 -64x + 264
What is the quadratic equation?If a quadratic equation has x-intercepts x₁ and x₂ and a leading coefficient a, we can write the quadratic equation as:
y = a*(x - x₁)*(x - x₂)
Here we know that the x-intercepts are -11 and 3, replacing that in the equation above we will get:
y = a*(x + 11)*(x - 3)
We also know that the line passes through the point (1, 192), replacing the values in the quadratic equation we will get:
192 = a*(1 + 11)*(1 - 3)
192 = a*12*-2
192 = -24*a
192/-24 = a
-8 = a
So the quadratic equation is:
y = -8*(x + 11)*(x - 3)
Expanding this, we will get:
y = -8x^2 -64x + 264
So the correct option is D.
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Given AB CD , what is the m∠ x and m∠ y in this diagram?
Justify your answer using geometry vocabulary.
Answer:
m∠ x is 130° and m∠ y is 130°
Step-by-step explanation:
Based on the drawn example I gave would explain why
So because ∠AGF = ∠CHF that would make these two angles Corresponding angles and corresponding angles are congruent
Thus making ∠AGH or m∠ x equals 130°
Now we look at ∠DHE and ∠AGF these two angles would be classified as Alternate interior angles which would make them congruent to each other aswell
Thus making ∠DHG or m∠ y equals 130°
Reason also includes the fact that m∠ x and m∠ y would be alternate interior angles also
What is the equation of line A? b) What is the equation of line B?
Answer:
Equation of line A: y = 4
Equation of line B: x = 8
Step-by-step explanation:
I am not sure how to explain this but those are your answer.
Booker T. Washington Middle School found two companies that would deliver healthy snacks to school. The tables below show the price charged by each company. How many more times does Company B charge per snack than Company A?
Two more times company B charge per snack than company A
What is meant by ratio?A ratio in mathematics displays the multiplicative relationship between two numbers. In a bowl of fruit, for instance, the proportion of oranges to lemons is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). In a similar vein, the proportion of oranges to the overall amount of fruit is 8:14, and that of lemons to oranges is 6:8 (or 3:4). (or 4:7).
A ratio can have any number of numbers as its components, including counts of people or things, weights, lengths, and times, among other values.
From the two tables,
0.5/0.25=2
1/0.5=2
1.5/0.75=2
2/1=2
Therefore, 2 more times company B charge per snack than company A
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Step by step !!!!pease help
The option C is correct
What is the mathematical ratio?
Definitions: When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage. For instance, you could express the ratio as 1: 3 if there is 1 guy and 3 girls
Given that:
Everglades Elementary school Purchases 125 fourth grade math's textbooks and 191 fifth grade math's textbooks
Total textbooks = 125 + 191 = 316 books
A box can contain maximum = 28 books
so the ratio of books and box will be = 316/28 = 11 box and 8/28
So total box will be 11 completely filled and the last one will be filled by 8/28
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Help please !!!???!!!!
Answer:
the lenth of the court is 78 feet
A school dance club is selling bottled water at a football game to raise
funds. The club has raised $26 so far and has the goal of raising $100.
If each bottle of water earns the club an additional $2, which equation can
be used to find the number of bottles of water w that the club needs to sell
to reach their goal?
Step-by-step explanation:
A school dance club is selling bottled water at a football game to raise funds. The club has raised $26 so far and has the goal of raising $100. If each bottle of water earns the club an additional $2, which equation can be used to find the number of bottles of water w that the club needs to sell to reach their goal?
equation:
100 = 2w - 26
solving:
100 = 2w - 26
74 = 2w
w = 37 more bottles
By rounding to 1 significant figure, estimate
40.73
×
1.06
By rounding to 1 significant figure, estimate answer is 40
What is significant figures?
Significant figures of a number in positional notation area unit digits within the number that area unit reliable and necessary to point the number of one thing.
Main body:
1) 40.73 to 1 significant figure = 40.
2) 1.06 to 1 significant figure = 1.
3) Therefore, we just multiply 40 by 1, which equals 40.
FURTHER EXPLANATION (IF NEEDED):
With significant figures, whole numbers such as 10, 20, 50 etc. have 1 significant figure. This is because the 0 does not count as a significant figure.
With decimals, all numbers after the decimal point are also included as significant figures (even 0). E.g. 40.73 has 4 significant figures and 1.06 has 3 significant figures.
EXAMPLES (IF NEEDED):
Rounding to 2 significant figures:
40.73 = 42
1.06 = 1.1
Rounding to 3 significant figures:
40.73 = 40.7
1.06 = 1.06 (because it's already in 3 significant figures)
Rounding to 4 significant figures:
40.73 = 40.73 (already in 4 significant figures)
1.06 = 1.060 (0 is counted as a significant figure if there is a decimal or another number comes after that 0)
E.g. 1006 has 4 sig figs, while 1060 would have 3 sig figs because the last 0 is not counted as a significant figure. 10.60 would have 4 sig figs because of the decimal.
Hence , By rounding to 1 significant figure, estimate answer is 40.
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(co 3) what is the term that describes the data that defines and characterizes other data within an electronic system?
An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.
By enabling appropriate access to and secure electronic sharing of a patient's critical medical information, the electronic health information exchange (HIE) helps to increase the efficiency, effectiveness, safety, and affordability of patient care.
The "blueprint" of a database, or how the data may link to other tables or other data models, is known as a database schema. The schema does not, however, actually hold any information. A database instance is a sample of data from a database at a specific point in time.
An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.
Microsoft uses a document format called DOC. A document called a DOC file includes formatted text, graphics, tables, graphs, and charts, among other things.
Data that can be entered in free text style is referred to as unstructured data. Structured data is a type of data that includes check boxes, graphics, tables, and other options that the user can select from.
Since the DOC system uses free text, the EHR's data is structured.
Therefore,
An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.
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Lin says she has memorized the lengths of a few right triangles, for example, 3, 4, and 5. She is trying to compile a list of several right triangles but needs your help.
Select all the lengths of triangles that are right.
1.) 8, 9, 64
2.) 2,4,6
3.) 1, 1, V2
4.) 7,19,22
5.) 5, 12, 13
Which ordered pair makes both inequalities true? y > -2x + 3 and y < x - 2
(0, 0) (0, -1) (1, 1) (3, 0)
Answer:
Step-by-step explanation:
The answer is (3,0)
You need to plug in the values of x and y to figure it out, because a coordinate is in the form (x,y) so in (3,0) 3 is the x value and 0 is the y value.
If you plug (3,0) into the first inequality y > -2x+3 you get 0 > -3 which is true
steps
-2(3) +3 = -3
And if you plug (3,0) into the second inequality y < x-2 you get 0 < 1 which is also true
So basically just plug in the values of x and y into the inequality and test if it works on one of the inequalities you've been given if it doesn't try the next order pair, if it does try it on the other inequality and check if it works on it to.
What is the probability that the students will have a pop quiz on a randomly selected day? a. 0.25 b. 0.52 c. 0.77 d. 0.90
The probability that the students will have a pop quiz on a randomly selected day will be A. 0.25.
How to calculate the probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1. In this case, 0 denotes the impossibility of the event and 1 represents certainty.
From the information, the probability that students will not have a quiz is 75%. The probability that the students will have a pop quiz on a randomly selected day will be:
= 1 - 75%
= 0.25
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Complete question
The probability that students will not have a quiz is 75%. What is the probability that the students will have a pop quiz on a randomly selected day? a. 0.25 b. 0.52 c. 0.77 d. 0.90
How many 3/4-cup servings are in 5/12 cups of yogurt?
Just answer it, dont have to show work, will mark brainly
The system of equations with the same solution set as the system of equations given is presented as follows:
5x + 3y = 10.x - 2y = -1.How to obtain the system of equations with the same solution set?The system of equations for this problem is presented as follows:
5x + 3y = 10.2x - 4y = -2.Another system of equations will have the same solution set as the system given when it's equations are multiples of the equations in this problem.
This holds true for the first option, as:
The first equation is the same for both systems, 5x + 3y = 10.The second equation on the first option is x - 2y = -1, meaning that it was the second equation of the given system divided by 2.More can be learned about a system of equations at https://brainly.com/question/24342899
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a square room has a floor area of 64 square meters. the height of the room is 9 meters. what is the area of all 4 walls?
Answer:
288 m^2
Step-by-step explanation:
each side of the room is 8 m ( 8x8 = 64)
So you have FOUR walls of widht 8 and height 9
area = FOUR * ( 9 *8) = 288 m^2
Find the equation of a parabola with its vertex at the origin and directrix x = 3.
The equation of a parabola is y²+12x=0.
In mathematics, what is a parabola?A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix).
What exactly are the three parabola equations?Parabola functions are classified into three types: standard form, vertex form, and intercept form (also known as factored).
as per the given question:
We have a vertex at (0,0) and the directrix is x = 3, a line parallel to the y-axis, it must have a focus at (3,0).
The parabola equation represents the locus of a point (x, y) that moves so that its distance from x=3 and (3,0) is equal. As a result, the parabola equation is, An equation of the parabola represents the locus of a point (x, y), which moves so that its distance from x=3 and (−3,0) are equal. Hence, the equation of a parabola is
(x−(−3))² + (y−0)² = (x−3)²
or (x+3)² + y² = (x−3)²
or x² + 6x + 9 + y² = x² − 6x + 9
or y² + 12x =0
Hence, The equation of a parabola is y²+12x=0.
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In a classroom 1/5 student get grade A; 3/10 got grade B and rest get grade C in math. Total number of students in the class is 50. Find how many students got grade C
Answer:
25
Step-by-step explanation:
make 1/5 and 3/10 with equivalent denominator which will give us 2/10 and 3/10 now add them and we get 5/10 5 is the half of ten so we will divide 50 over 2 and we will get 25
please helpp its urgent!!!!
Answer:
b. [tex]y = -0.03x + 18.4[/tex]
explanation:
is just some logic. we see the second unit on the x-axis is 4, so let's try that. -0.03 * 4 = -0.12. -0.12 + 18.4 = 18.28. 18.28 lines up with the 18.3 measurement we see. the next closest option brings us to 17.8, so we'll go with b.
What is the order from least to greatest of the following: 0.7, −0.2, 2.2, and −2.3?
−2.3, −0.2, 0.7, 2.2
2.2, 0.7, −0.2, −2.3
−0.2, 2.2, 0.7, −2.3
0.7, −0.2, −2.3, 2.2
The order from least to greatest is −2.3, −0.2, 0.7, 2.2. The correct option is A.
What is an ascending order?When numbers are arranged in ascending order, they are done so from smallest to largest. We must first compare the numbers before we can arrange them in any order. Compare first, then order. Numbers are arranged in ascending order.
Given that the numbers are 0.7, −0.2, 2.2, and −2.3. The numbers in ascending order will be arranged as,
0.7, −0.2, 2.2, −2.3
-2.3 > -0.2 > 0.7 > 2.2
Hence, the ascending order of the given data is -2.3 > -0.2 > 0.7 > 2.2.
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A hook in an office storage closet can hold no more than 6 pounds. An order of jumbo paperclips weighs 2 pounds and an order of packing tape weighs 3 pounds. If x is the number of orders of paperclips and y is the number of orders of packing tape, which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (3, 0). Everything below and to the left of the line is shaded.
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (3, 0). Everything above and to the right of the line is shaded.
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (2, 0). Everything to the right of the line is shaded.
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (2, 0). Everything to the left of the line is shaded.
The first graph shows how many of each order could fit into a bag that was hanging from a hook. First, a detailed explanation: * Let's discuss the issue's solution.
Find graph?The quantity of orders of paperclips is x, and the weight of the order of jumbo paperclips is 2 pounds. The order of paperclips weighs 2 x = 2 x, the order of packing tape weighs 3 lbs., and the quantity of orders of packing tape is y. The weight of the tape order is 3 y = 3 y, the weight of the entire order is 2 x + 3 y, and the hook can only support a maximum weight of 6 y. 2x + 3y ≤ 6
The graph that depicts this inequality, Any line's equation is y = mx + c, where m represents its slope.
The y-intercept indicates to replace x in the equation by 0; the x-intercept indicates to replace y in the equation by 0; 2x - 3y 6 is the inequality. 2x + 3y = 6 is the equation for the line.
- Subtract 2x from both sides: 3y = 6 - 2x; - Divide both sides by 3: y = 6/3 - 2/3 x; - Locate the y-intercept: x = 0; y = 2;
The line crosses the y-axis at position (0 , 2)
– Locate the x-intercept.
∵ y = 0
∴ 0 = 2 - 2/3 x
- Adjust both sides by 2/3x.
∴ 2/3 x = 2
Increase both sides by 3.
Divide all sides by 2 to get the answer.
∴ x = 3
The line crosses the x-axis at position (3 , 0)
First and second from the figure.
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I understand A and B but I do not understand what they are asking for C. I have no idea what the answer is, please help! Thanks
Mike sells grapes at a farmers market. Each pound of grapes sells for the same amount. The table below shows the total prices for different numbers of pounds of grapes sold.
Grapes
Number of Pounds Sold Total Price ($)
2 $4.50
4 $9.00
10 $22.50
A. Write an equation that describes the relationship between the number of pounds of grapes sold(x) and the total price (y), in dollars.
Mike also sells red peppers at the farmers market. The equation below can be used to find the total price (p) in dollars of r pounds of red peppers.
p = 1.80r
B. What is the total price, in dollars, of 17 pounds of red peppers? Explain what the 1.80 represents in the context of the situation.
The farmer decides to increase the price per pound of the grapes. A graph is created to represent both the original equation from Part A and a new equation based on the increased price per pound of the grapes.
C. Thinking about what this graph would look like, explain why the graphs representing the equations will share one point even though the prices per pound are different.
A. The relationship between the number of pounds of grapes sold (x) and the total price (y) can be described by the equation y = 2.25x.
The required details for pounds in given paragraph
This equation can be derived from the data in the table by substituting the values for x and y and solving for the coefficient 2.25. For example, for x = 2 pounds of grapes, we have y = $4.50, so 4.50 = 2.25 * 2. Similarly, for x = 4 pounds of grapes, we have y = $9.00, so 9.00 = 2.25 * 4. We can use this equation to find the total price for any number of pounds of grapes sold.
B. The total price of 17 pounds of red peppers is $31.60. The 1.80 in the equation p = 1.80r represents the price per pound of red peppers. In this case, 1.80 dollars is the price per pound of red peppers, and r is the number of pounds of red peppers that are being purchased. Therefore, the total price of r pounds of red peppers is equal to 1.80 dollars per pound multiplied by the number of pounds of red peppers being purchased.
C. The graphs representing the equations for the original and increased price per pound of grapes will share one point because the two equations will be tangent to each other at that point.
what is pound?
A pound is a unit of weight that is commonly used in the United States and some other parts of the world. It is defined as the weight of a standard reference object, called the international pound, which is kept at the International Bureau of Weights and Measures in France.
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a new washer and dryer set cost $1250 with an annual expenditure of $100 for electricity. The function C(n) =1250+100n/n represents the annual cost of operating the washer-dryer set as a function of n years of owning the set. Which of the following statement(s) about the function is true?
For the question "A new washer and dryer set costs $1250 with an annual expenditure of $100 for electricity..." None of the options are correct
What is annual expenditure?The statement "The annual cost of the washer-dryer set will never exceed $100 during the life of the set" is false because the function C(n) is defined as C(n) = (1250 + 100(n))/n,
A washer-dryer set has an average lifetime of 10ten years
But given the function
C(n) = (1250 + 100(n))/n,
even after 5000 years, the washer-dryer set will still be above $100 as shown below
[tex]C(5000)=\frac{1250+100\left(500000\right)}{500000}[/tex]
C(5000)=100.0025
b) For the given function C(n) = (1250 + 100n) / n, the highest power of x is 1 in both the numerator and denominator. The leading coefficient of the numerator is 100 and the leading coefficient of the denominator is 1, so the horizontal asymptote is the line y = 100.
To find the vertical asymptotes of a rational function, we need to look for values of x that make the denominator equal to 0, but the numerator not equal to 0. These values of x will be the vertical asymptotes of the graph.
For the given function C(n) = (1250 + 100n) / n, the denominator is n, so the vertical asymptotes are x = 0.
Therefore, the asymptotes of the graph of C(n) = (1250 + 100n) / n are the horizontal asymptote y = 100 and the vertical asymptote x = 0.
The statement "The asymptotes of the function are at x = –12.5 and y = 100" is false because a function does not have asymptotes if it is defined for all values of x. In this case, the function C(n) is defined for all positive values of n, so it does not have asymptotes.
c) The statement "The annual cost after 10 years is $225 assuming only purchase and electricity expenses" is false because the annual cost after 10 years is given by
C(10) = (1250 + 100*10)/10
C(10)=225
But
= 225 + 100 (10)
=225000
Therefore, the annual cost after 10 years is $225000, not $225.
Hence given this none of the Options are correct
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CQ
A new washer and dryer set costs $1250 with an annual expenditure of $100 for electricity.
The function C(n) =1250+100n/n represents the annual cost of operating the washer-dryer set (besides the $100 for electricity) as a function of n years of owning the set.
Which of the following statement(s) about the function is true?
I. The annual cost of the washer-dryer set will never exceed $100 during the life of the set.
II. The asymptotes of the function are at x = –12.5 and y = 100.
III. The annual cost after 10 years is $225 assuming only purchase and electricity expenses.
F I only
G I and II only
H I and III only
J I, II, and III
Find an equation that fits this question please
Answer:x-25=y
Step-by-step explanation:
u just subtract and put it into equation form
What's the slope of the line connecting (-3, -6) and (-6, -8)? (You may enter your answer as a fraction. Otherwise, round
your answer to 2 decimal places.)
Answer:
Two-thirds
Step-by-step explanation:
slope is
∆y/∆x = (y2-y1) divided by (x2-x1)
= (-8-(-6)) divided by (-6-(-3))
= -2 divided by -3
= 2/3
Which method is best for root finding?
Answer:
on the value of the root may produce a value of the polynomial at the approximate root that is of the order of. For avoiding these problems, methods have been elaborated, which compute all roots simultaneously, to any desired accuracy. Presently the most efficient method is Aberth method.
Question
Solve for x.
3/5(x−7/10)=−314
Enter your answer as a mixed number in simplest form in the box.
x =
Answer:
x = -522 19/30
Step-by-step explanation:
To solve for x, distribute the 3/5. This gives us 3/5x - 21/50 = -314. Add over 21/50 to the other side, allowing for 3/5x to equal -313 29/50. Divide by 3/5 on both sides and we get x equal to -522 19/30. This is the final answer as a mixed number and is also in simplest form.
Solve the system of linear equations. -3x+5y=13 x+4y=-10
Answer:
Solve for X: -3x + 5y=13 is x=5/3y + −13/3
(Solve for y: 3/5x + 13/5)
Solve for X: x+4y=-10 is x= −4y−10
(solve for y: y= −1/4x + −5/2)
Step-by-step explanation:
Solve for X in -3x + 5y=13:
Step 1: Add -5y to both sides.
−3x+5y+−5y=13+−5y
−3x=−5y+13
Step 2: Divide both sides by -3.
−3x/−3 = −5y + 13/−3
x = 5/3y + −13/3
Solve for Y in -3x + 5y=13:
Step 1: Add 3x to both sides.
−3x + 5y + 3x = 13 + 3x
5y = 3x + 13
Step 2: Divide both sides by 5.
5y/5 = 3x + 13/5
y = 3/5x + 13/5
Solve for X in x+4y=-10:
Step 1: Add -4y to both sides.
x + 4y + −4y = −10 + −4y
x = −4y −10
Solve for Y in x+4y=-10:
x+4y=−10
Step 1: Add -x to both sides.
x + 4y+ −x = −10 + −x
4y=−x−10
Step 2: Divide both sides by 4.
4y/4 = −x − 10/4
y = −1/4x + −
Hope this helps!!Write Expressions Word Problems 1.
You run a small business and would like to print some business cards.
Staples offers color business cards for a small fee.
The cost is $.75 per card.
A) Write an expression for the total cost (in dollars) if you print b business cards. B) How much does it cost you to print 50 business cards?
Step-by-step explanation:
cost of business card - $.75 ( per card )
I want to print 50
So we will multiply 75 × 50
75
×50
00
355×
=375
$.375 will be the cost of the same
A restaurant manager can spend at most $600 a day for operating costs and payroll. It costs $100 each day to operate the bank and $50 a day for each employee. Use the following inequality to determine how many employees the manager can afford for the day, at most:
50x + 100 ≤ 600
Could someone pls explain on how to find the 5 number summary, Recall that the 5-number summary is the minimum, lower quartile, median, upper quartile, and maximum.
The numbers are 1 1 1 1 3 3 3 4 4 4 5 5 5 5 6 6 6 13 13 16 16 16 21 22 24 28 28
Maximum = 28, Minimum = 1, Lower Quartile = 3, Median = 5, and Upper Quartile = 16
The Five Number Summary is what?The minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum make up the five-number summary. The median is the middle value; Q1 is the median of the first half of the data, and Q3 is the median of the second half. The lowest is the smallest number, the maximum is the highest, the median is the intermediate value.
The 5 digit summary definition
minimal is a smaller number.
lower quartile: First-half median of the data.
median
upper quartile :Median of the second half of data
greatest number is maximum
The numbers are 1 1 1 1 3 3 3 4 4 4 5 5 5 5 6 6 6 13 13 16 16 16 21 22 24 28 28
minimum = smallest number = 1
lower quartile = Median of the first half of data = 1 1 1 1 3 3 3 4 4 4 5 5 5 = 3
median = median( middle value) = 5
upper quartile = Median of the second half of data = 6 6 6 13 13 16 16 16 21 22 24 28 28 = 16
maximum = largest number = 28
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A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest tenth. Enter your answer in the box. A rectangular prism 60 centimeters wide, 80 centimeters long, and 100 centimeters tall. A diagonal d is drawn from the upper right rear corner to the lowest left front corner.
It is to be noted that the length of the interior diagonal of the box whose dimensions are Height 100cm, Lenght, 80 cm, and width 60 cm, is 140.4cm.
What is the formula for the length of a right rectangular prism?
Recall that the formula for the diagonal length of a right rectangular prism is calculated as √(l² + w² + h²) units. So, the formula for the length of a right rectangular prism's diagonal is √(l²+w²+h²), where l is the length, b is the breadth, and h is the height.
Plugging in the values we have:
d² = 60² + 80² + 100²
Solving for d, we get:
d = √(660² + 80² + 100²)
= √(3600 + 6400 + 10000)
= √(20000)
= 140.4 cm
Thus, the length of the interior diagonal of the box is 140.4 cm.
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