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2 years ago

What all the multiples of 8?

Mathematics

2 answers:

Rzqust [24]2 years ago

4 0

8,16,24,32,40,48,56,64,72,80

Gwar [14]2 years ago

3 0

Answer:

through 12?

Step-by-step explanation:

8,16,24,32,40,48,56,64,72,80,88,96

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Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.

SashulF [63]

ANSWER

${r}^{2} = 4 \cos2\theta$

EXPLANATION

The Cartesian equation is

${( {x}^{2} + {y}^{2} )}^{2} = 4( {x}^{2} - {y}^{2} )$

We substitute

$x = r \cos( \theta)$

$y = r \sin( \theta)$

and

${x}^{2} + {y}^{2} = {r}^{2}$

This implies that

${( {r}^{2} )}^{2} = 4(( { r \cos\theta) }^{2} - {(r \sin\theta) }^{2} )$

Let us evaluate the exponents to get:

${r}^{4} = 4({ {r}^{2} \cos^{2}\theta } - {r}^{2} \sin^{2}\theta)$

Factor the RHS to get:

${r}^{4} = 4{r}^{2} ({ \cos^{2}\theta } - \sin^{2}\theta)$

Divide through by r²

${r}^{2} = 4 ({ \cos^{2}\theta } - \sin^{2}\theta)$

Apply the double angle identity

$\cos^{2}\theta -\sin^{2}\theta= \cos(2 \theta)$

The polar equation then becomes:

${r}^{2} = 4 \cos2\theta$

7 0

2 years ago

What is the equation for density? D = d = m over v. D = d = v over m. D = d = m over v squared. D = d = one-half m v squared.mv2

Sophie [7]

Answer:

d = m / v.

Step-by-step explanation:

The density is a measure of the specific weight of a substance or object.

This is, the mass per unit of volume. Then, the average density is the ratio of the mass of a body to the volume it occupies in space:

The equation for density is:

$\bar d=\dfrac{m}{V}$

being m the total mass in the volume, and V the volume.

7 0

2 years ago

Read 2 more answers

If my saving x$ grows 10% every year how much will I have in: 1 year 2 year 5 year

mote1985 [20]

Answer:

$1.1x, 1.21x, 1.61051x$

Step-by-step explanation:

If you saving grows $10 \%$ every year, then your saving is $1.1\\$ times your saving from last year. Therefore, after one year, you will have $1.1x\\$ , then after $2$ years, you will have $(1.1)^2 \cdot x=1.21x$ , then after $5$ years, you will have $(1.1)^5 \cdot x = 1.61051x$ .