Answers
[tex] {n}^{3} + 512 \\ = {(n)}^{3} + {(8)}^{3} \\ by \: using \: {a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2}) we \: \: \: get \\ = (n + 8)( {(n)}^{2} - n \times 8 + {(8)}^{2} ) \\ = (n + 8)( {n}^{2} - 8n + 64)[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Related Questions
How do I solve this
Answers
A swimming pool already contains
a small amount of water when you start filling it at a
constant rate. The pool contains 45 gallons of water after
5 minutes and 120 gallons after 30 minutes. Find the
average rate of change and use it to write a linear model
that relates the amount of water in the pool to the time.
Answers
Answer:
Rate of change = 3 gallons/minute
Starting volume = 30 gallons
Step-by-step explanation:
A graph of the pool's water level would be useful. The slope of the line would represent the rate of change for filling the pool. It will also help us determine the amount of water that was in the pool to start. Although it is tempting to say the rate of fill is 45gallons/5 minutes, or 9 gallons/minute, it is not correct. The pool already started with an unknown volume of water. The rate of change after 5 minutes, however, can be used. The problem states it is being added at a constant rate. Let's find an equation for a line, in the format of y=mx+b, where m is the slope (rate of change) and b is the y-intercept.
We'll let y represent the volume of water in the pool, and x will be the time in minutes. The y-intercept will give us the amount of water in the pool at the start (x = 0).
The slope can be determined between the two given points:
(5,45) and (30,120):
Slope = Rise/Run [The change in y divided by the change in x].
Rise = (120 - 45) = 75
Run = (30-5) = 25
Slope = 75/25 or 3
The line, so far, becomes y=3x + b
The slope of 3 has units of gallons/minute. It is the rate at which the pool is being filled.
We can find b, the starting volume of water, by using one of the two points in the equation and solving for b:
y=3x + b [I'll use (5,45)]
45 = 3*(5) + b
b = 30 gallons
The pool had 30 gallons to start (at x = 0(minutes))
See the graph of the line, attached.
You have 64 inches of blue
fabric and 96 inches of green
fabric. You want to cut the fabric
into pieces of equal length with
no leftovers. What is the greatest
length of the pieces that you can
make?
Answers
Answer:
Step-by-step explanation:
48 times for the green fabric
32 for blue
Select the statement that is true.
0.969 < 0.967
0.967 > 0.969
0.967 = 0.969
0.967 < 0.969
Answers
Answer:
d option
Step-by-step explanation:
(d) option is true, as 0.969 is greater than 0.967.
Rest all options are false.
Hope it helps :)
In the number 5.3779, how does the value of 7 in the hundredths place compare to the value of the 7 in the thousandth place?
Options are in the picture:
*Show work*
Answers
Answer:
(b)
Step-by-step explanation:
The hundredths place is immediately to the left of the thousandths place. In our base-10 number system, moving a digit to the left one place increases its value by a factor of 10.
The value of 7 in the hundredths place is 10 times the value of 7 in the thousandths place.
Answer:
The value of the 7 in the hundredth place is 10 times the value of the 7 in the thousandth place.
Step-by-step explanation:
(1 point)
9. Find the coordinates of A' (the new point), if A is A (-12. 4) translated 3 units to the right and
2 units down.
O(-15, 2)
O(-9,2)
O(-15, 6)
O(-9,6)
Answers
7. A shopkeeper sold a pen set for 180 at a profit of 30. To make a profit of 26%, what should be the selling price of the pen set? 1otor
Answers
[tex]\huge\color{pink}\boxed{\colorbox{black}{Answer♡}}[/tex]
[tex]selling \: price \: of \: pen = 180 \: rs \\ profit = 30 \: rs \\ cost \: price = selling \: price - profit \\ = > 180 - 30 \\ = > 150 \: rs[/tex]———————————required profit = 26%so ,
[tex]new \: selling \: price = 150 + \frac{26}{100} \times 150 \\ = > 150 + 39 \\ = > 189 \: rs[/tex]
———————————thuѕ, thє nєw ѕєllíng prícє σf pєn ѕєt wíll вє rѕ. 189hσpє hєlpful~
Based on the information given the selling price of the pen set is $189.
Using this formula
Selling price=Selling price of pen+(Profit percentage× Selling price of pen)
Let plug in the formula
Selling Price=$150 +( 26% ×$150)
Selling Price=$150 +$39
Selling Price=$189
Inconclusion the selling price of the pen set is $189.
Learn more about selling price here:https://brainly.com/question/1153322
Where did this student make the mistake when solving this inequality?
2x + 4 > 5x - 5
-2x -2x
4 < 3x - 5
+5 +5
9 < 3x
/3 /3 (divide by 3)
3 < x
options:
When subtracting the same value from both sides you don't need to switch the inequality sign
There is no mistake, it was solved correctly
You don't subtract 2x from each side, you add 2x to each side
When dividing by 3 you should switch the inequality sign
Answers
Answer:
You don't subtract 2x from each side, you add 2x to each side
what number could make this equations have no value of x. 3x+8 = 3x + ?
Answers
Answer:
All values of x :- 3x + 8 = 3x + 8 has Infinite solutions .Just one value of X :- 3x + 8 = 3x + x is equal to 3x + 8 = 4x , which has one solution at x= 8 .Step-by-step explanation:
I hope this helps you !!this is because the slope is the slopes are the same in both equations so they will cancel each other.
Help me plzz tell me the answer I’m so confused
Answers
Answer:
A=250Step-by-step explanation:
A/5=50
take 5 to other side
the number in division came in multiplication after changing it's side. that's why,
A=50×5
A=250
Hope it helps you ❤️❤️Solve the literal equation for Y:
4=5x+6y
Answers
Answer:
y=2/3-5x/6
Step-by-step explanation:
Solve the following system of equations graphically.
y=3x+4
y=-2x-5
Answers
Answer:
(x, y) = (-1.8, -1.4)
Step-by-step explanation:
PLEASE NO LINKS AND NO NEGATIVITY
Answers
Answer:
8.9k
Step-by-step explanation:
Perimeter is the area around the object.
1.8k - 5 + 3.5 + 6.1k + k + 1.5
Combine like terms:
1.8k + 6.1k + k = 8.9k
-5 + 3.5 + 1.5 = 0
Therefore 8.9k is the answer. You dont need to include the +0 because it will not add anything to the answer. In the most simplified form, the answer is 8.9k
Hope that helps
Answer:
Step-by-step explanation:
Question 2 of 5
-64
O A. - 16
O B. -4
O C. 4 or -4
OD. -8
Answers
Answer:
B.-4
Step-by-step explanation:
Hope it help!!!!!!
2 1/3 divided by 1 1/5 what is the answer as a fraction or mixed number in simplest form?
Answers
Answer:
1.9444444 is the answer or 35/18
Step-by-step explanation:
Answer:
10/3 or 3 (1/3)
Step-by-step explanation:
I used a calculator sorry i don't know how to explain it
Please HELPPP!! Thank you
Answers
Answer:
its 6,7 just make it right if im wrong
answer pls:)))))))).
Answers
25√75
125√3
At the movies, tickets cost $12 for adults and $7 for kids under 12. How many total
tickets would someone get if they purchased 2 adult tickets and 16 kids tickets? How
many total tickets would someone get if they purchased a adult tickets and k kids
tickets?
Total tickets, 2 adult tickets and 16 kids tickets:
Total tickets, a adult tickets and k kids tickets:
Answers
Answer:
18a+kStep-by-step explanation:
The total number of tickets is the sum of the number of adult tickets and the number of kid tickets.
Total tickets, 2 adult tickets and 16 kids tickets: 2 +16 = 18
Total tickets, a adult tickets and k kids tickets: a +k
_____
Additional comment
The total price is a different matter:
$12(2) +$7(16) = $136 . . . for 2 adult and 16 kids
12a +7k . . . for 'a' adults and 'k' kids
Someone please help
Answers
Guys, I really need these answers ASAP, Please help, I will give 10 points. Look at the 3 screenshots posted below
Answers
Answer:
w = 38% or 37%
w = 37.7162629758% exact
Step-by-step explanation:
Lets say c = 100
If k = 15, 100 is decreases by 15% 2 times.
15% of 100 = 15
100 - 15 = 85
d = 85
Now lets find a
85 times .85 = 72.25
Now find what percent of 72.25 you have to add to itself to get 100
100 - 72.25 = 27.75
27.75 divided by 72.25
37% rounded
37.7162629758% exact
Solve the inequality.
Answers
Answer:
x [tex]\leq[/tex] -3
Step-by-step explanation:
Make common denominators
[tex]\frac{2x}{6}[/tex] - [tex]\frac{3x-3}{6}[/tex][tex]\geq[/tex][tex]\frac{6}{6}[/tex]
Use the numerators only
2x - (3x - 3) [tex]\geq[/tex] 6
Distribute
2x - 3x + 3 [tex]\geq[/tex] 6
-x + 3 [tex]\geq[/tex] 6
Subtract 3 from both sides
-x [tex]\geq[/tex] 3
x [tex]\leq[/tex] -3
HELLO EVERYONE
WHAT IS THIS ANSWER??? ANYONE KNOW? i need help on this question. it is kinda confusing but if anyone knows pls txt back to this post. thank you so much and have a good day.
Answers
Answer: The volume of this cylinder is 2389.18 cubic cm, and the surface area is 1000.6 square cm.
−
3
x
+
y
=
−3x+y=
−
3
−3
−
6
x
+
2
y
=
−6x+2y=
−
3
−3
Answers
Answer: -3x+4
Step-by-step explanation:
combine like terms.
3x+ -6x=-3
-3+-3+2= -4
-3x + -4
Cell phone production engineers have noticed that among a group of 138 customers aged 14-23 who send more text messages tend to use a higher percentage of their phone’s memory.What are the explanatory variable and response variable for this relationship?
Explanatory variable: age of customer
Response variable: percentage of phone memory used
Explanatory variable: percentage of phone memory used
Response variable: age of customer
Explanatory variable: number of text messages sent
Response variable: percentage of phone memory used
Explanatory variable: percentage of phone memory used
Response variable: number
Answers
Answer:
it is c my guy
Step-by-step explanation:
on edge2020
The explanatory variable is the number of text messages sent, and the response variable is the percentage of phone memory used. The correct answer is (C)
What is the independent and dependent variable?In mathematics, independent and dependent variables are values that vary in relation to one another. The dependent variable is dependent on the independent variable, which means that if the value of the independent variable changes, so will the dependent variable.
In this situation, the explanatory variable is the number of text messages sent, because it is believed to influence or "explain" the variation in the response variable, which is the percentage of phone memory used.
The explanatory variable is also sometimes called the independent variable, because it is the variable that is being manipulated or controlled in an experiment. The response variable is also sometimes called the dependent variable, because it is the variable that is believed to depend on the explanatory variable.
Therefore, in this problem, the explanatory variable is the number of text messages sent, and the response variable is the percentage of phone memory used.
Learn more about the independent and dependent variables here:
https://brainly.com/question/1479694
#SPJ2
PLEASE HELP!! 100 points!!!
The angle of depression from the top of a tower to a boulder on the ground is 22 . If
the tower is 70 feet high, how far from the base of the tower is the boulder? (Round
answer to the 1st decimal place.)
Answers
Answer:
173.3 feetStep-by-step explanation:
Let the required distance be x.
We have a right triangle with vertical leg of 70 feet and the acute angle opposite to this leg is 22 degrees.
Use trigonometry:
adjacent / opposite = cotangentx / 70 = cot 22 degx = 70 cot 22 degx = 173.3 feet (rounded)f(x)=-x^2-7x+9 find 7f(x)
Answers
Answer:
do it got a picture
on the edge
Step-by-step explanation:
hi pls help me solve this
Answers
Answer:
-23.33
Step-by-step explanation:
C = 5/9 (F - 32)
C = 5/9 (-10 - 32)
C = 5/9 (-42)
C = -23.33
Calculate the area of the triangular region determined by the points D(-4,3) E(-7,-8) F(-2, -3)
Answers
Answer:
The area is 27
Step-by-step explanation:
Area =1/2 [x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)]
Area =1/2 [2(-6 - 8) + 3(8 - 4) + 7(4 + 6)]
=1/2 [2(-14) + 3(4) + 7(10)]
=1/2 (-28 + 12 + 70)
=1/2 (54)
Area = 27
solve the equation 5x+x-7=4x-2-x
Answers
Answer:
[tex]x=\frac{5}{3}[/tex]
Step-by-step explanation:
Brainliest pls?
Circumference if circle is_________
Answers
Answer: The distance around the edge of a circle
Step-by-step explanation: