The question involves finding the dimensions of a rectangular prism packed with 84 smaller cubes of a certain size. The answer requires understanding of volume and consideration of the physical characteristics of a rectangular prism.
Explanation:The problem presents a rectangular prism completely packed with 84 cubes of edge length 1 over 3 inch. To find the dimensions of the prism, we must first understand the volume. Given the volumes of the small cubes (edge length cubed), we can multiply this by the number of cubes (84) to find the total volume of the prism.
Next, we use this total volume to derive the possible dimensions of the rectangular prism. The dimensions should be factors of the total volume, keeping in mind the shape of a physical rectangular prism (which usually has length longer than width and height).
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There is a 70% chance of rain tomorrow and a 20% chance that the volleyball game will be postponed. What is the probability that it will rain tomorrow and the volleyball game will be postponed?
0.20/0.70 = 0.2857
28.6% chance
round the answer as needed.
I believe it is 14%
because 20% = 0.2 and 70% = 0.7
then 0.2 * 0.7 = 0.14
0.14 = 14%
14% is answer srry if wrong
Translate the sentence into an inequality.
Three subtracted from b is less than or equal to −17.
The center of an ellipse is located at (0, 0). One focus is located at (12, 0), and one directrix is at x = 14 1/12.
what is the equation that represents the ellipse?????????
The equation that represents the ellipse with the given coordinates of the center, one focus, and one directrix is x^2/144 + y^2/(25/12) = 1.
Explanation:The equation that represents the ellipse with the center at (0, 0), one focus at (12, 0), and one directrix at x = 14 1/12 can be found using the standard form of the equation for an ellipse:
(x - h)^2/a^2 + (y - k)^2/b^2 = 1
where (h, k) is the center of the ellipse, a is the distance from the center to the vertices, and b is the distance from the center to the co-vertices.
Since the center is at (0, 0), the equation becomes:
x^2/a^2 + y^2/b^2 = 1
The distance from the center to one focus is 12, so the value of a is 12. To find the value of b, we need to use the distance from the focus to the directrix. Since the directrix is x = 14 1/12, the distance from the focus to the directrix is |14 1/12 - 12|. Simplifying, we get |14 1/12 - 12| = 2 1/12. Therefore, the value of b is 2 1/12.
Substituting these values into the equation, we get:
x^2/144 + y^2/(25/12) = 1
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-8*-4^2/7
i got 32/7?
An acute angle θ is in a right triangle with sin θ = seven eighths. What is the value of cot θ?
ANSWERS
square root of fifteen divided by eight
eight divided by the square root of fifteen
seven divided by the square root of fifteen
square root of fifteen divided by seven
Carlos can print a document on apricot printer which the speed is 8 in 4.5 minutes how long would it take him to print the same document on a sure-fire printer which the speed is 12
You are studying for your final exam of the semester. up to this point, you received 3 exam scores of 67%, 68%, and 78℅. to receive a grade of C in the class, you must have an average exam score between 70% and 79% for all 4 exams including the final.
Answer: its 68,100 on plato
Find the exact value of tan 2x if tan x=7/11, and pi[tex] \leq
[/tex]x[tex] \leq [/tex] 3pi/2
Which equation represents an exponential function with an initial value of 500
The Hawks soccer team won 12 out of 14 games. If this rate continues, how many games will they win if they play a
total of 21 games?
Which expressions are equivalent to 3(x + 3y + 2x − y)?
Video DVDs (ignoring the hole in the middle) have an area of 36π cm^2 The formula to calculate the circumference, C, for a circle is c=2√Aπ, where A is the area of the circle. What is the circumference of the disc?
12πcrr
18πcrr
24πcrr
30πcrr
Final answer:
The circumference of a DVD with an area of 36π cm^2 is 12π cm.
Explanation:
The question asks for the circumference of a DVD with an area of 36π cm2. The circumference C of a circle is related to its area A by the formula C = 2√(Aπ). In this case, we need to substitute the given area of the disc into the formula to calculate the circumference.
First, we'll start by plugging in the area into the formula:
C = 2 √(36π π)
C = 2 √(36)√(π)√(π)
C = 2 × 6 × π
C = 12π
Therefore, the circumference of the disc is 12π cm.
Please help to solve... Need steps
HELP??
A scatter plot is shown below
Which two ordered pairs can be joined to draw most accurately the line of best fit on this scatter plot?
(4, 9.5) and (10, 5.5)
(5, 0) and (10, 10)
(0, 6) and (5, 0)
(0, 9.5) and (10, 1.5)
Answer: The correct answer is D!
Step-by-step explanation:
what is ten times as much as 4.9
The question wants to find out what is ten times as much as 4.9. By multiplying 4.9 by 10. The answer is 49.
Explanation:The student is asking about multiplication which is an operation in Mathematics. In this case, the student wants to know what is ten times as much as 4.9. To find the answer, we need to multiply 4.9 by 10. The multiplication process is as follows:
4.9 x 10 = 49
So, ten times as much as 4.9 is 49.
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60,000 is ten times as much as
What is the place value of 8 in 0.829
help me please. I don't know how to do this. so can you take me step by step if possible.
How many feet are in 30 yards?
Answer:
90 feet
Step-by-step explanation:
Formula we use,
→ 1 yd = 3 ft
Then no of feet in 30 yards is,
→ 30 × 3
→ 90 ft
Hence, the answer is 90 ft.
In which situation is the distance traveled proportional to time? A: An airplane landing
B;A soccer ball you kick across a field C:A person running on a treadmill at 3 mph for 6 minutes D:A 3 -minute ride on a roller coaster
Answer:
Step-by-step explanation:
you add it my g
Answer:
C: A person running on a treadmill at 3mph for 6 minutes
Step-by-step explanation:
I just had the question and got it right.
On a test hailey answered 64 out of 75 questions correctly. What percent of her answers
Were correct?
Answer:
[tex]\bold{85\frac13\,\%}[/tex]
Step-by-step explanation:
[tex]\dfrac{64}{75}\cdot100\,\%=\dfrac{64}{3}\cdot4\,\%=\dfrac{256}{3}\,\%=85\frac13\,\%[/tex]
The length of a rectangle is 4 inches more than its width. The area of the rectangle is equal to 4 inches less than 5 times the perimeter. Find the length and width of the rectangle. SOME HELP WITH THIS PLEASE
What's 2 ways to write 100203
a person or company that allows others to borrow money is called
Answer:
ummm its called a lender since that person is "lending" you something
Step-by-step explanation:
A person or company that allows others to borrow money is called a "lender".
What is a Lender?A lender is a person, a group (public or private), or a financial organization that makes cash accessible to a person or business with the expectation of repayment. Payment of any interest or fees will be included in the repayment.
Repayment might take place in installments (such as a monthly mortgage payment) or as a flat amount. A mortgage is one of the largest loans that individuals obtain from lenders.
The loan duration varies depending on the type of debt. While some loans are for 1-2 years, the majority are for 6-12 months.
Thus, a person or company that allows others to borrow money is called a "lender".
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Cat breeders often mate cats that have special traits that they will pass on to offspring. This is an example of
Ira purchased a new dishwasher for $361.35. The dishwasher was on sale for 17.5% off. What was the original price of the dishwasher, to the nearest dollar?
The original price of the dishwasher with a 17.5 percentage discount is $361.
We have,
To find the original price of the dishwasher, we need to figure out what the discount amount is and subtract it from the sale price.
The discount amount is 17.5% percentage of the original price, which can be expressed as:
Discount amount = 0.175 x Original price
We can rearrange this equation to solve for the original price:
Original price = Discount amount / 0.175
The discount amount is:
Discount amount = 0.175 x $361.35 = $63.25
So the original price of the dishwasher was:
Original price = $63.25 / 0.175 = $361.43
Rounding this to the nearest dollar gives an original price of $361.
Thus,
The original price of the dishwasher with a 17.5 percentage discount is $361.
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What is an expression that is equal to 12m+12n
If f(x)= -x²+3x+5, find f(-3), f(0), f(2), f(5), and f(8).
In my block of 100 flats a painter is kept employed by painting one flat each month from January to November. The flats are painted in the same order and he takes a holiday every December. If my flat was last painted in August 2010 when will it be next painted?
January to November == 11 months.
11 flats are painted every year.
100 flats / 11 flats per year = 9 years + 1 month
the next time it will be painted is September 2019.
Answer:
The answer is September 2019.
Step-by-step explanation:
In order to determine the date of the painting flat, we have to know how the painter works.
Every year, the painter paints 11 flats, because he paints one flat each month and he doesn't work in December.
Also, if we consider that "my flat" is currently in the first position, we have to wait until the painter paints the 100 position because the painter has to paint 99 flats more.
So, "my flat was painted in August 2010", then the painter paints 3 flats more that year (September, October, November).
Now we add more painted flats every year:
3+11+11+11+11+11+11+11+11=91
At beginning of 2019, the painter has painted 91 flats. So in 9 months later, the painter will be paint the 100 position, that is in September 2019.
Finally "my flat" will be painted in September 2019.
Two trucks leave from the same truck stop at the same time. One travels east on interstae 80 and the other travels west. The eastbound truck averages 40 miles per hour, and the westbound truck averages 50 miles per hour. In how many hours will the trucks be 300 miles apart?
Answer:
About 3 hours
Step-by-step explanation:
Imagine one truck going West and the other East. One is going 50 miles per hour and the other is going 40 miles per hour. Because you need to use the equation 50x+40x=300. You should get x = 3.3.