Answer:
The total number of cubes in the rectangular prism are 1,120 cubes
Step-by-step explanation:
The given parameters are;
The dimensions of the rectangular prism block of wood = (n + 5), (n + 8), and (n + 14)
The volume of the block of wood = (n + 5)×(n + 8)×(n + 14) = n³ + 27·n² + 222·n + 560
The quantity of the 1 cm cubes that have no paint = 1/2 of the total quantity = 1/2 the volume of the original cube
The cubes that have paint on them are the surface cubes, we have;
One layer of cube is removed from each of the eight sides, therefore, we have the dimensions of the cube rectangular prism that have no paint on them given as (n + 5 - 2), (n + 8 - 2), and (n + 14 - 2), which gives the dimensions as (n + 3), (n + 6), and (n + 12);
Therefore, we have
2 × (n + 3)×(n + 6)×(n + 12) = (n + 5)×(n + 8)×(n + 14)
2 × (n + 3)×(n + 6)×(n + 12) - (n + 5)×(n + 8)×(n + 14) = 0
Which gives;
n³ + 15·n² + 30·n - 128 = 0
n = 2
n = -17/2 - √(33)/2 = -5.6277
n = √(33)/2 - 17/2 = -11.3722
Therefore, given that the smallest dimension of the painted prism = (n + 5), the possible value for n = 2
The volume of the rectangular prism = (n + 5) × (n + 8) × (n + 14) = (2 + 5) × (2 + 8) × (2 + 14) = 1120 cm³
Given that the cuts are 1 cm³ each, the total number of cubes in 1,120 cm³ = 1,120 cubes.
Liz spent $170 in 5 days on food and groceries. What integer best represents the average amount her checking account changed per day?
Answer:It is 34:1
brainliest please
What is the correct ratio?
Sin 40=w/28
Tan 40=w/28
Cos 40 = w/28
Sin 40 = 28/w
Answer:
As we know that
tanФ = opposite ÷ adjacentTherefore, the correct ratio is:
tanФ = opposite ÷ adjacent
= w ÷ 28
= w/28
i.e.
tanФ = w/28Step-by-step explanation:
As we know that
tanФ = opposite ÷ adjacentGiven the triangle with an angle of 40°.
As the opposite of an angle 40° is the length 'w', and adjacent to the angle
40° is the length '28'.
As we know that
tanФ = opposite ÷ adjacentTherefore, the correct ratio is:
tanФ = opposite ÷ adjacent
= w ÷ 28
= w/28
i.e.
tanФ = w/28Answer:As we know that tanФ = opposite ÷ adjacentTherefore, the correct ratio is:tanФ = opposite ÷ adjacent = w ÷ 28 = w/28i.e.tanФ = w/28Step-by-step explanation:As we know that tanФ = opposite ÷ adjacentGiven the triangle with an angle of 40°.As the opposite of an angle 40° is the length 'w', and adjacent to the angle 40° is the length '28'.As we know that tanФ = opposite ÷ adjacentTherefore, the correct ratio is:tanФ = opposite ÷ adjacent = w ÷ 28 = w/28i.e.tanФ = w/28
I need help on number 5 plz
Answer:
x5-8x+3y i don't sure for my answer hihihi understand my answer heheh sorry if I don't help you
A garden with dimensions 50 feet by 70 feet is surrounded by a walkway of
uniform width. The total area of the walkway is greater than 350 square feet but is less than 500 square feet. Find the possible widths of the walkway.
bulok man ko og math guys. wakoy ika tabang nimo
Will mark as brainliest ❤️
Answer:
is just a "place-holder" or "variable.
If
f
x
=
x
+
7
then (using a different variable)
f
(
t
)
=
t
+
5
or
using a constant
f
(
x
)
=
5
+
7
Since
5
+
7
=
12
for the given example
f
(
5
)
=
12
When finding the common denominator between fractions, which value can be helpful, GCF, or LCM? How?
Answer:
The answer would be GCF because when you finding the common denominator GCF is how you do it. at least thats what I do and I got it right! :p
hope this helps! :) I don't really know how to explain lol
simplify the expression and THEN evaluate it if f=3 and g=-2
(4f-3+2g)-(-4g+2)
Please help me get 100% I have so much more to do
Fraction = 23/100
Decimal = .23
Percent = 23%
Hope this helps!
A banner company sells 5-foot banners to retailers for x dollars. The St. James Sign Shop marks them up 90%. Express the retail price at the St. James store algebraically.
Answer:
$1.9x
Step-by-step explanation:
Given that :
Cost of banner = x dollars
Markup percentage at st. James store = 90%
Retail price at st. James store :
Initial cost + markup
Cost of banner + 90% of cost
x + 0.9x
= 1.9x
Hence, retail.price at st. James store is $1.9x
ZzzzZZZZZzzzzzZZZZZZzzzzZZZZZZZzzzzzzZZZZzzzzZZZZZzzzZZZZzzzzZzzzz.....................................*wakes* *looks at hw* OMG IM NOT DONE YET!!!!!! HELP ME
Answer:
12
Step-by-step explanation:
Please help me
Which one do I choose for each one
Kelsey jogs 60 feet in 6 seconds. What is this rate in miles per hour? Round to the nearest tenth.
Answer:
10 miles per hour
Step-by-step explanation:
60 / 6 = 10
Therefore, she is jogging 10 miles per hour.
Pretty sure this is running, not jogging.
The rate of jogging is 10 miles per hour
The calculation can be done as follows
Kelsey jogs a total of 60 feet in 6 seconds
The rate is = 60/6
= 10 miles/hour
Hence the rate in miles per hour to the nearest tenth is 10 miles per hour
Please see the link below for more information
https://brainly.com/question/19856531?referrer=searchResults
I need to find the p(9) ,p(3),when p(x) =3x-5
Consider the table that includes the input and output values of a function. Which answer classifies the function using finite differences? The function is quadratic with a constant second difference of –96. The function is quadratic with a constant second difference of 96. The function is cubic with a constant third difference of –96. The function is cubic with a constant third difference of 96.
Answer:
b, quadratic with constant second difference of 96
Step-by-step explanation:
The function is cubic with a constant third difference of 96.
What is Function?A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
Using differences:
X f(x) first difference second difference third
3 39 - - -
5 187 (187-39)/2= 74 - -
7 551 (551-187)/7-5 = 182 182 - 74/2 = 54 -
9 1227 (1227-551)/(9-7)=338 338-182/2=78 78-54/2 = 12
11 2311 (2311-1227)/2=542 542-338/2=102 102-78/2 = 12
According to table,
The function is cubic, because the third average change rate is constant of 12.
12>0, so the third difference is >0 then -96 is false.
Thus, the function is cubic with a constant third difference of 96.
Learn more about function from:
https://brainly.com/question/12431044
#SPJ2
Please answer fast. Three hens can lay 3 eggs in 3 days. How many hens would lay 12 eggs in 12 days.
Answer:
They lay 3 eggs over 3 days. Well, make this easier on yourself. 1 egg=1 day. So, the answer would definitely be 12 days from 3 hens=12 eggs.
Step-by-step explanation: put me as brainliest please !
There are 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 bacteria cells after 3 hours. Write the repeated multiplication as a power and then evaluate.
Answer:
2 over the power of 3
Step-by-step explanation:
Answer:
bocock
Step-by-step explanation:
Which graph represents the function f (x) = StartFraction 2 Over x minus 1 EndFraction + 4?
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
because I said so :)
Please help meeee
Lines A and B are parallel lines. Find the measures of angles 1,2, and 3.
Answer:
<1=33, <2=90, <3=57
Step-by-step explanation:
Lines A and B are parallel lines. Find the measures of angles 1,2, and 3.
GIVING BRAINIEST for the correct answer
A pair of shoes cost $12 for Nike to make. If Nike marks up the price 430%, what is the price of the mark-up?
Answer:
The price of the mark-up is $51.60
Step-by-step explanation:
A nurse has an annual income of $52, 175. The income tax that she must pay is 9%. How much does she have to pay in taxes in dollars and cents?
ответ на картинке !!!!
Bart budgeted $285.75 each month for utilities. His utility bills this month were $130.50 for electric, and $240 for gas. How much over budget is he? *
!!
Answer:
$84.75 over budget
Step-by-step explanation:
Barts' budget is 285.75
Bills: 240 + 130.50 = $370.50
(subract by his budget)
370.5 - 285.75 = $84.74
:)
One cantaloupe costs $2. How many
cantaloupes can you buy for $6?
Answer:
3
Step-by-step explanation:
ignore this i need more letters lol have a good day
Answer:
You could buy 3 cantaloupes.
Step-by-step explanation:
So, you have $6. Now, what we would do is (O is 1 cantaloupe):
If O cost $2, do the following:
O O O O O
2 2 2 2 2
Now, lets count up til we get 6:
2 + 2 = 4; 4 + 2 = 6;
After you have done that step, count how many 2's you see in that equation. I see 3.
Therefore, you could buy 3 cantaloupes.
3 1/3÷1/6
I Mark brainlies
Answer:
20
Step-by-step explanation:
I need help with this!
Will give brainliest, thank you :)
Answer:
y=x-3
Step-by-step explanation:
The slope is just x, and the y intercept will be one over from (1,-2) which is (0,-3), so -3 is the starting point.
bro i didnt even go on brainly for the past week and a half and they do this?
omg brainly PLEASE fix these bots Imao
Answer:
thats tough
Step-by-step explanation:
tough a f
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hahaha help me
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hahaha help me
hahaha help me
hahaha help me
hahaha help me
hahaha help me
Answer:
B. could be the answer for me
Answer:
3
Step-by-step explanation:
Write in exponential form
Answer and explanation in screenshot:
m a t h w a y solution: (2/5)^3 = 8/125
Symbolab explanation in image
I really need your help guys.
Answer:
The average rate of change from 0 to 20 years old is -2.
Step-by-step explanation:
Average rate of change means slope.
slope = y2 - y1 / x2 - x1
Pick any points between 0-20. They have given on the graph already (0, 112) and (20, 72) so plug it into slope equation.
112 - 72/ 0 - 20
40/-20
= -2
The average rate of change from 0 to 20 years old is -2.
Callie has 11 dollars and 33 cents. The cookies she plans on is $2.25. She has about 5 friends she plans on buying cookies. Will she be able to buy each friend a cookie?