edge is 2 times as long : volume is 8 times as big, edge is 3 times as long : volume is 27 times as big, edge is 10 times as long: volume is 1000 times as big, edge is n times as long, volume is n^3 times as big.
Since the volume of a cube can be given by V = s^3 where s is the edge length, and V Is the volume of the cube. The change in volume relative to the change of its edge is ∆v/∆s = 3s^2 (derivative).
The volume of a cube would be 8x, ³ 27x³, 1000x³ and n³ x³ changes as its edge becomes twice as long; 3 times as long; 10 times as long; n times as long respectively.
What is the volume of the cube?The volume of a cube is equal to the product of the length, width, and height of a cube.
The volume of a cube is length × breadth× height
We have to determine the volume of a cube changes as its edge becomes twice as long; 3 times as long; 10 times as long; n times as long.
As we know that
The volume of the cube = side × side × side
Let us assume that one side of the cube is x
side = 2x
Then,
Volume = 2x ×2x×2x
Volume = 8x³
As per the given condition,
side = 3x
Then,
Volume = 3x×3x×3x
Volume = 27x³
As per the given condition, 10 times as long
side = 10x
Then,
Volume = 10x×10x×10x
Volume = 10³ x³
As per the given condition, n times as long
side = nx
Then,
Volume = nx×nx×nx
Volume = n³ x³
Hence, the volume of a cube would be 8x, ³ 27x³, 1000x³ and n³ x³ changes as its edge becomes twice as long; 3 times as long; 10 times as long; n times as long respectively.
Learn more about the cube here:
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an animal shelter is putting together treat bags for each of the 48 dogs and 38 cats at the shelter. The material for each treat bag cost $0.87.what is the total cost of the materials the animal shelter will use to make the treat bags?
A$72.87
B$48.26
C$74.82
D$56.76
Answer:
74.82
Step-by-step explanation:
48+38=86 86 X 0.87= 74.82
find the unit rate.
2 1/2 miles in 3/4 hour
Answer: 3.33 miles per hour
Step-by-step explanation:
This is a fraction equal to
2.5 miles ÷ 0.75 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 0.75
[tex]\frac{2.5 miles}{0.75 hours}[/tex] ÷ 0.75
÷ 0.75
= 3.33 miles per hour
~I hope I helped you! :)~
Find the perimeter of a rectangle. The width is : 3y-4 and the length is 2y2
+5y-2.
Answer:
hi s el se ljvyovfrs
hcxffzdyilhgf
what is the missing value
640
840
940
Answer:
it’s 840 because 168+840 is 1008 so there hope this helps can I get brainliest
Step-by-step explanation:
Answer:
840
Step-by-step explanation:
because 168+840 is 1008 so how to find it is subtract 1008 to 168 to get 840
Multiply and simplify the product
(3-5)(-2 + 41)
Select the product
14+ 21
14 + 221
15 + 221
26+21
DONE
Answer:
-78
Step-by-step explanation:
Pemdas
Parentheses --> (-2)(39) = -2 x 39
Solve --> -78
I don't understand by select the product but I hope this helped
A 2-quart carton of pineapple juice costs 9.68. What is the price per pint ?
Answer:
544335=r445
Step-by-step explanation:
Answer:
Step-by-step explanation:
2 pints per quart
4 pints in 2 quarts
9.68 / 4 = $2.42
So the price per pint is $2.42
Refer to the rectangle shown. Suppose the width of 4 inches is decreased by 3 inches.
a. Find the percent of change in the perimeter.
b. Find the percent of change in the area.
Answer:
a. 30% decrease in perimeter
b. 75% decrease in area
Step-by-step explanation:
Before decrease:
Perimeter = 2L + 2W = 2(6) + 2(4) = 12 + 8 = 20
Area = L * W = 6 * 4 = 24
After decrease:
Perimeter = 2L + 2W = 2(6) + 2(1) = 12 + 2 = 14
Area = L * W = 6 * 1 = 6
Percent of change in the perimeter:
20 - 14 = 6
6/20 = 0.3 or 30% decrease in perimeter
Percent of change in the area:
24 - 6 = 18
18/24 = 0.75 or 75% decrease in area
Q
12 inches
P
0
What is the length of P'Q'?
inches
Answer:
it would be 12 inches because you add them
If 9801 is the square of 99, what will be the square of 9.9?
Answer:
98.01
Step-by-step explanation:
[tex][9.9]^2\\=[\frac{99}{10}]^2\\ =\frac{9801}{100}\\ =98.01[/tex]
Which product is positive?
BA :)
OGO
(100)
G
8
3
Write 90 as a product of primes.
Use index notation where appropriate.
Answer:
2 × 3 × 3 × 5
Step-by-step explanation:
2 x 3 = 6
6 x 3 = 18
18 x 5 = 90
Please need help ASAP
Answer:
A. 810
Step-by-step explanation:
All you need to do here is add the number of children between ages 0-10 and children of ages between 10-20.
500+310= 810
Hope this helps! :)
Answer:
810 people are under the age of 20 are in Disney World
Step-by-step explanation:
Find the bars of the graph that are before the graph that indicates the age 20.
There are two bars, one with the ages between 0-10 another with the ages 10-20.
Add the results of both graphs.
810
Lashawna is making jewelry to sell at a craft fair. On Monday, she makes 12 bracelets. On Tuesday, she works an additional 2.5 hours and has a total of 22 bracelets. Determine the time it takes Lashawna to make one bracelet.
Answer:
It takes 15 minutes to make one bracelet
Step-by-step explanation:
22-12=10 to identify how many were made on Tuesday
10÷2.5=4 how many were made per hour
60÷4= 15 how long it takes for Lashawna to make one bracelet
Find the value(s) of k so that the
parabola has only one x-intercept.
y = x2 + kx + 100
Answer:
PLEASE SOMEONE ANSWER THIS
Step-by-step explanation:
The parabola has only one x - intercept when k =20.
What is x-intercept?The x intercept for any curve is the value of the x coordinate of the point where the graph cuts the x-axis.
When the parabola has only one intercept?If the value of the discriminant is zero, there is one real solution for x. Then the parabola has only one x-intercept.
According to the given question
We have a equation of parabola
[tex]y = x^{2} + kx + 100[/tex]
The above parabola has only one x-intercept if the discriminant is zero.
⇒ [tex]k^{2} -4(1)(100) =0[/tex]
⇒ [tex]k^{2} = 400[/tex]
⇒[tex]k =\sqrt{400}[/tex]
⇒ k = 20
⇒ k = 20
Hence, the parabola has only one x - intercept when k =20.
Learn more about x-intercept here:
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Evaluate x3 for x = 2
Answer:
8
Step-by-step explanation:
x^3
Let x=2
2^3
2*2*2
8
Answer: 9
Step-by-step explanation:
Someone help me pls and ty
2/9 divided by 7/9
could you help me with this please i really need help please.
Answer: 2/9 divided by 7/9 = 2/7
Step-by-step explanation:
1. Write out the problem on a piece of paper.
2. Change the second fraction, which is 7/9, into a reciprocal fraction (means flipping the 7 and 9 around). Now, our equation has the fraction 9/7 in it.
3. Change the division symbol to a multiplication symbol. Your equation should be 2/9 x 9/7.
4. Solve the equation. You should get the answer of 18/63 without simplification.
5. Simplify. 18/63 = 2/7
Conclusion: 2/7 is the correct answer.
HELPPPP ASAPPPP PLEASEEE
FIND THE SLOPE
Answer:
(4 -2) and (3 -4)
Step-by-step explanation:
1) Solve for x 3(x - 2) = 6* - 12 -) A) X = 2 X = 1 X = -2 D X = -1
Answer:
Solve for x 3(x - 2) = 6* - 12 -) A) X = 2 X = 1 X = -2 D X = -1 is x=2
[tex]Please\;write\;equations\;for\;the\;following...\\\\1...\;(-2, 3), slope = -5/7\\2...\;(-4, -2), slope = -1/4\\3...\;(2, 0), slope = 1/2[/tex]
Answer: 1) y = (-5/7)x + 11/7
2) y = (-1/4)x - 3
3) y = (1/2)x - 1
Step-by-step explanation:
Use the Point-Slope equation: y - y₁ = m(x - x₁) where
(x₁, y₁) is a point on the linem is the slope(x₁, y₁) = (-2, 3) m = -5/7
y - 3 = -5/7(x + 2)
y - 3 = (-5/7)x - 10/7
y = (-5/7)x + 11/7
(x₁, y₁) = (-4, -2) m = -1/4
y + 2 = -1/4(x + 4)
y + 2 = (-1/4)x - 1
y = (-1/4)x - 3
(x₁, y₁) = (2, 0) m = 1/2
y - 0 = 1/2(x - 2)
y - 0 = (1/2)x - 1
y = (1/2)x - 1
Someone please help me
Answer:
A is 12 B is 14 fir number 1 number two is ÷ × + and the answer is 12
help me please i would really appreciate it!
2. The radius of a sphere is measured to be 3.12 cm. What is the most accurate volume of the sphere you can report?
Answer:
V=12.9792[tex]\pi[/tex]cm³ (If your teacher wants it in terms of pi)
-or-
V=40.7753593694cm³
Step-by-step explanation:
V=4/3[tex]\pi[/tex]r³
V=4/3[tex]\pi[/tex](3.12)³
V=4/3[tex]\pi[/tex]9.7344
V=12.9792[tex]\pi[/tex]cm³ (If your teacher wants it in terms of pi)
-or-
V=40.7753593694cm³
can anyone help me with this problem ?
I don't really understand this?
Answer:
Step-by-step explanation:
Sum of 3 angles of a triangle= 180
3x-2+x+11+4x+3= 180
Separate x terms from constants
3x+x+4x-2+11+3= 180
8x+12= 180
8x= 180-12
8x= 168
x= 168/8
x= 21
Put the value of x in angles:
3x-2=3(21)-2= 63-2= 61
x+11= 21+11= 32
4x+3= 4(21)+3= 84+3= 87
If you want to check whether your answer is right or wrong, you can cross-check by adding the 3 angles
61+32+87= 180.
Hope this will help :)
The mean age of 3 women in an office is 27 years old.
The mean age of 6 men in an office is 34 years old.
What is the mean age (nearest year) of all the people in the office?
Answer:
mean age of women
(x+y+z)/3=27
mean age of men
(x1+x2+x3+x4+x5+x6)/6=34
mean age of all people in the office
x+y+z=27*3=81
x1+...x6=34*6=204
so
mean age( x+y+z+x1+x2+..x6)/(3+6)=(27*3+34*6)/9
=(81+204)/9=285/9=32 approximately
Add.
-2+(-3) =
........
(+)*(-) is minus so it will be -2-3 and we can add it if we have two minus so answer will be -5. sorry if it was not clear
Sharon's organization hopes to raise more than $10,000 at their annual 5k race. what would be the inequality?
Answer:
X ≥ 10,000
Step-by-step explanation:
The ‘x’ represents the money they raised and the inequality would be ≥ because you would want to raise at least $10,000 or more.
HELPHELPHELPPLSPSLSPSGiven ? || 5. What is the measure of 21, 22, and 23.? angle 1
angle 2.
and angle 3
135
HELP ME
Answer:
Angle 1 is 135 degree
Angle 2 is 45 degree
Angle 3 is 135 degree
Find the midpoint between R(1, -3) and S(4,2)
Answer:
([tex]\frac{5}{2}[/tex]), [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
Formula:
Add both "x" coordinates, divide by 2
Add both "y" coordinates, divide by 2
~I hope I helped you! :)~
Your favorite local band is selling merchandise and they have asked you to write an algebraic expression to represent their total profit. The are selling t-shirts for $15 each and CDs for $5 each.
Write an expression to represent the total profit for t number of shirts sold and c number of CDs sold.
Evaluate your expression for 10 shirts and 25 CDs sold.
Answer:
15t + 5c = b$275Step-by-step explanation:
Let "t' be the number of t-shirts bought.
Let "c" be the number of CDs bought.
Let b" be the total cost.
15t + 5c = b
We buy 10 t-shirts so t = 10.
We buy 25 CDs so c = 25.
We are trying to find b.
15t + 5c = b
15(10) + 5(25) = b
150 + 125 = b
275 = b
Best of Luck!
Answer:
15t + 5c = tptp = $275Step-by-step explanation:
t-shirts for $15 = t
cd's for $5 = c
let tp = total profit
the algebraic expression would be:
15t + 5c = tp
-------------------------
evaluate the expression 15t + 5c = tp
for t = 10 and c = 25
plugin values into the formula:
15(10) + 5(25) = tp
tp = 150 + 125
tp = 275
therefore, the total profit is $275
