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LenKa [72]
3 years ago
13

A bag contains eight rocks and weighs 32.16 kilograms. Each rock in the bag weighs the same amount. How much does each rock weig

h?
Mathematics
2 answers:
Volgvan3 years ago
6 0

Answer:

Each rock weighs 4.02 kilograms

THIS IS THE RIGHT ANSWER

Step-by-step explanation:

32.16 divided by 8 equals to 4.02

neonofarm [45]3 years ago
4 0

Answer:4.02 kilograms because 32.16 kilograms divided 8=4.02 kilograms

Step-by-step explanation:

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What’s the perpendicular slope of 4/3
never [62]

Answer:

-3/4

Step-by-step explanation:

Perpendicular slopes are reciprocal opposites of the original slope. This means that the reciprocal of 4/3 is 3/4, and the opposite of 3/4 is -3/4.

3 0
3 years ago
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Find the discriminant of the equation. x2 + 3x - 4 = 0
ivann1987 [24]

Please use " ^ " to indicate exponentiation: x^2 + 3x - 4 = 0

Here, a = 1, b = 3 and c = -4.

The formula for the discriminant is b^2 - 4(a)(c).

Substituting the given values of a, b and c, we get:

(3)^2 - 4(1)(-4)

Evaluating this, we get 9 + 16 = 25.

The discriminant is 25.

-3 plus or minus √25

Taking this further, x = ------------------------------------

2

-3 plus or minus 5

or: x = -------------------------------- => {-4, 1} (solutions)

2

5 0
3 years ago
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In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is
zheka24 [161]

Answer:

f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )

Step-by-step explanation:

Let:

M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y

This is and exact equation, because:

\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}

So, define f(x,y) such that:

\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)

The solution will be given by:

f(x,y)=C_1

Where C1 is an arbitrary constant

Integrate \frac{\partial f(x,y)}{\partial x} with respect to x in order to find f(x,y):

f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}

Substitute into \frac{\partial f(x,y)}{\partial y} =N(x,y)

2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y

Integrate \frac{dg(y)}{dy} with respect to y:

g(y)=\int\ {8y} \, dy =4y^2

Substitute g(y) into f(x,y):

f(x,y)=2x^2+4y^2+2xy

The solution is f(x,y)=C1

f(x,y)=2x^2+4y^2+2xy=C_1

Solving y using quadratic formula:

y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )

4 0
3 years ago
Different varieties of field daisies have numbers of petals that follow a fibonacci sequence.Three varieties have 13,21, and 347
EleoNora [17]
The answer is letter d. The Fibonacci Sequence states to add the 2 previous number to get the next number starting with 1. So, 1 + 0=1, 1+1=2, 1+2=3, 2+3=5,3+5=8, 5+8=13, etc....

I added 13+21 to get 34. Then add 21+34 to get 55. Then add 34+55 to get 89.
7 0
3 years ago
What is the volume, in cubic inches, of a cone that has a radius of 8 inches and a height of 12 inches? Use 3.14 for π , and rou
Doss [256]

Answer:

803.84 in^3

Step-by-step explanation:

First of all we have to find the base area

base area = radius^2 x 3.14 = 8^2 x 3.14 = 64 x 3.14 = 200,96 in^2

the volume can be find with this formula:

V = (base area x height)/3

V = (200.96 x 12)/3 = 803.84 in^3

8 0
3 years ago
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