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2 years ago

25 points

Mathematics

2 answers:

maxonik [38]2 years ago

7 0

Answer:

Step-by-step explanation:

root the 216 as it is a cube

:edge *edge *edge =volume

Since all edges are the same, just root it

love history [14]2 years ago

6 0

Answer:

(x)*(x)*(x)=V

Step-by-step explanation:

Volume = V cubic inches

Cube box

Each side = x

(x)*(x)*(x)=V

You might be interested in

What is the simplified form of 3.2 to the power of 4

Nezavi [6.7K]

12.8 is the answer you can multiply 3.2 to 4 or you can add 3.2 to 3.2

6 0

2 years ago

Read 2 more answers

The general solution of 2 y ln(x)y' = (y^2 + 4)/x is

Sav [38]

Replace $y'$ with $\dfrac{\mathrm dy}{\mathrm dx}$ to see that this ODE is separable:

$2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}$

Integrate both sides; on the left, set $u=y^2+4$ so that $\mathrm du=2y\,\mathrm dy$ ; on the right, set $v=\ln x$ so that $\mathrm dv=\dfrac{\mathrm dx}x$ . Then

$\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v$

$\implies\ln|u|=\ln|v|+C$

$\implies\ln(y^2+4)=\ln|\ln x|+C$

$\implies y^2+4=e^{\ln|\ln x|+C}$

$\implies y^2=C|\ln x|-4$

$\implies y=\pm\sqrt{C|\ln x|-4}$

4 0

2 years ago

You are preparing a community garden with your youth group to have enough room for the spots for all the people who already sign

Annette [7]

Answer:

92 feet.

Step-by-step explanation:

Given:

The length of the garden needs to be 22 feet longer than the width of the garden.

The perimeter of the fence is a total of 324 feet

Question asked:

What will the length be of garden ?

Solution:

As length of the garden needs to be 22 feet longer than the width,

Let width = $x$

Then, length will be = $x+22$

As here perimeter of the fence is given, we can find length and width of garden by using:

Perimeter of rectangle = $2(length+width)$

$324=2(x+22+x)\\324=2(2x+22)\\324=4x+44\\$

Subtracting both sides by 44

$324-44=4x+44-44\\280=4x\\$

Dividing both sides by 4

$70=x$

Width = $x$ = 70 feet

Then, length will be = $x+22$ = 70 + 22 = 92 feet

Therefore, the length of the garden will be 92 feet.

3 0

2 years ago

2 Points

vfiekz [6]

Answer:

$63

Step-by-step explanation:

Penny = $0,01
Nickel = $0.05
Dime = $0.1
Quarter= $0.25

Number of pennies = 6*50 = 300
Number of nickels = 5*40= 200
Number of dimes = 4*50= 200
Number of quarters = 3*40 = 120

Total amount of money:

300*0.01+ 200*0.05 + 200*0.1 + 120*0.25 = $63

5 0

2 years ago

Read 2 more answers

Here is the question

serg [7]

First find the amount of the difference between the original price and the current price:

$10,600 - $7,400 = $3,200

Divide the difference by the original price:

3200 / 7400 = 0.4324 = 43.2% increase.

5 0

2 years ago

*25 points*

25 points