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ser-zykov [4K]
3 years ago
5

The ratio of the side lenghths of two cubes is 3:7. find the ratio of their volumes

Mathematics
1 answer:
babunello [35]3 years ago
8 0
27:343 because since the side lengths are like cm or in, it's always to the power of 1, but it is invisible, so since you want to know the ratio of the volume, volume is always inches cubed or centimeters cubed etc. So you get the original ratio of the side lengths to the first power, and do each number to the third power which gives you that ratio.

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Alicia is sewing a rectangle bedspread that measures 72 inches by 60 inches. The bedspread is red with a gold circle 18 inches i
Natalija [7]

Answer:

4,066\ in^{2}

Step-by-step explanation:

we know that

The area of the bedspread that is red is equal to the area of rectangle minus the area of the circle

step 1

Find the area of rectangle

The area is equal to

A=72*60=4,320\ in^{2}

step 2

Find the area of the circle

A=\pi r^{2}

we have

r=18/2=9\ in ----> the radius is half the diameter

assume

\pi=3.14

substitute

A=(3.14)(9)^{2}

A=254.34\ in^{2}

step 3

Find the area of the bedspread that is red

Find the difference of the areas

4,320\ in^{2}-254.34\ in^{2}=4,066\ in^{2}

5 0
4 years ago
How many dimes do you have if you have 80 nickels
Alik [6]
You would have 40 dimes..
5 0
3 years ago
Read 2 more answers
Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y' = x2y − 1 2 y
GuDViN [60]

Answer:

Euler's method is a numerical method used in calculus to approximate a particular solution of a differential equation. As a numerical method, we have to apply the same procedure many times, until get the desired result.

In first place, we need to know all the values the problem is giving:

  • The step size is 0.2; h = 0.2. This step size is a periodical increase of the x-variable, which will allow us to calculate each y-value to each x.
  • The problem is asking the solution y(1), which means that we have to find the y-value assigned for x = 1, through the numerical method.
  • The initial condition is y(0) = 9. In other words, x_{o} = 0\\y_{0}=9.

So, if the initial x-value is 0, and the step size is 0.2, the following x-value would be: x_{1}=0.2; then x_{2}=0.4; x_{3} =0.6; x_{4} =0.8;x_{5} =1; and so on.

Now, we have to apply the formula to find each y-value until get the match of x_{5}=1, because the problem asks the solution y(1).

According to the Euler's method:

y_{1} =y_{0} +hF(x_{0};y_{0})\\y_{2} =y_{1} +hF(x_{1};y_{1})\\y_{n} =y_{n-1} +hF(x_{n-1};y_{n-1})

Where F(x;y)=x^{2} y-12y^{2}, and x_{0} =0; y_{0} =9; h=0.2.

Replacing all values we calculate the y-value assigned to x_{1}:

y_{1} =9+0.2((0)^{2} 9-12(9)^{2})=-185.4.

Now, y_{1} =-185.4, x_{1} =0.2; h=0.2. We repeat the process with the new values:

y_{2} =y_{1} +hF(x_{1};y_{1})  \\y_{2} = -185.4+0.2((0.2)^{2} (-185.4)-12(-185.4)^{2} )\\y_{2}=-82682.47

Then, we repeat the same process until get the y-value for x_{5} =1, which is y_{5} = -1.0018, round to four decimal places.

Therefore, y(1)=-1.0018.

7 0
3 years ago
Isolate I for the literal equation V = IR
Anit [1.1K]

In order to isolate any term from an equation we need to clear out any different variable or numbers different from the one we want

V=IR

in this case I is being multiplied by R, so we need to do the opposite which is divide in order to eliminate

V=\frac{IR}{R}

But since this is an equality we must do it on both sides so de equation does not get altered

\frac{V}{R}=\frac{IR}{R}

Then we simplify the equation

I=\frac{V}{R}

3 0
1 year ago
If a1 = 6 and an = 3 + 2(an-1), then a2 equals<br><br> no links
Salsk061 [2.6K]

Answer:

15

Step-by-step explanation:

Given that a1 = 6

an =  3 + 2(an-1),

Substitute n = 2 into the formula

a2 = 3 + 2(a1)

a2 = 3 + 2(6)

a2 = 3+12

a2 = 15

Hence the second term of the sequence is 15

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