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3 years ago

Write the equation in polar form. x^2-y^2=1

Mathematics

1 answer:

mart [117]3 years ago

5 0

Answer:

${x}^{2} - {y}^{2} = 1$

${x}^{2} = 1 + {y}^{2}$

$\sqrt{ {x}^{2} } = \sqrt{ {y}^{2} + 1 }$

$x = \sqrt{ {y}^{2} + 1 } or - \sqrt{ {y}^{2} + 1 }$

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3. DC SPORTS Inc ships sports balls around the world. A bowing boll hos a diameter of

hram777 [196]

Answer:

50 softballs

Step-by-step explanation:

Volume of a sphere = (4/3)*π*radius³

A bowling ball has a radius of 8.5/2 = 4.25 in

Volume of a bowling ball = (4/3)*π*4.25³ = 321.56 in³

Circumference of a circle = 2*π*radius

radius of the basketball = Circumference/(2*π)

radius of the basketball = 29.5/(2*π) = 4.7 in

Volume of the basketball = (4/3)*π*4.7³ = 434.9 in³

radius of the softball= 12/(2*π) = 1.9 in

Volume of 50 softballs= 50*(4/3)*π*1.9³ = 1436.55 in³

A golf ball has a radius of 1.7/2 = 0.85 inches

Volume of 48 (four dozens) golf balls= 48*(4/3)*π*0.85³ = 123.48 in³

8 0

3 years ago

Solve for x.<br><br> y=4(x-7)<br><br> x=

White raven [17]

Answer:

hopefully this helps? please try

3 0

3 years ago

V. Money Magazine reported that the average price of gasoline in the United States during the first quarter of 2008 was $3.46. A

Butoxors [25]

Answer:

$z=\frac{3.43 -3.46}{\frac{0.15}{\sqrt{30}}} = -1.095$

$z=\frac{3.49 -3.46}{\frac{0.15}{\sqrt{30}}} = 1.095$

And we can find this probability using the normal standard table and we got:

$P(-1.095$

Step-by-step explanation:

Let X the random variable that represent the price of a population, and for this case we know the distribution for X is given by:

$X \sim N(3.46,0.15)$

Where $\mu=3.46$ and $\sigma=0.15$

And for this case we want to find the following probability:

$P(3.43 \leq \bar X \leq 3.49)$

And we can use the z score formula given by:

$z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

If we find the z score for the limits we got:

$z=\frac{3.43 -3.46}{\frac{0.15}{\sqrt{30}}} = -1.095$

$z=\frac{3.49 -3.46}{\frac{0.15}{\sqrt{30}}} = 1.095$

And we can find this probability using the normal standard table and we got:

$P(-1.095$

8 0

4 years ago

19 (a) Solve 3(x - 4) = 12

Ksju [112]

Answer:

7 0

3 years ago

Read 2 more answers

Plz help me i am stuck

Minchanka [31]

Given:

The two statements.

To find:

The probability of an impossible event.

The probability of a certain event.

Solution:

Formula for probability is:

$P=\dfrac{\text{Possible favorable outcomes}}{\text{Total number of outcomes}}$

For an impossible event, the possible favorable outcomes is 0. So,

$P=\dfrac{0}{\text{Total number of outcomes}}$

$P=0$

For a certain event (sure event), the possible favorable outcomes is equal to total number of outcomes. So,

$P=\dfrac{\text{Total number of outcomes}}{\text{Total number of outcomes}}$

$P=1$

Therefore, an event that is impossible has probability 0 and an event that is certain has probability 1.

8 0

3 years ago