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3 years ago

Please help with this question, I need the help urgently

Mathematics

1 answer:

grin007 [14]3 years ago

5 0

Answer:

P in terms of V is:

P = 432/V

Step-by-step explanation:

We know that y varies inversely as x, we get the equation

y ∝ 1/x

y = k/x

k = yx

where k is called the constant of proportionality.

In our case,

P is inversely proportional to V

Given

P = 18

V = 24

P = k/V

k = PV

substituting P = 18 and V = 24 to determine k

k = 18 × 24

k = 432

now substituting k = 432 in P = k/V

P = 432/V

Therefore, P in terms of V is:

P = 432/V

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last month john spent 75.00 dollars on games. this month he only spent 63.00. he spent ___ percent less this month

aivan3 [116]

First, subtract 63 from 75 to find out how much it decreased.
75 - 63 = 12
Divide 12 by 75.
12 / 75 = 0.16
In percents, that is 16%.
He spent 16% less this month.
Hope this helps!

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4 years ago

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Find the vertices and foci of the hyperbola with equation quantity x plus one squared divided by sixteen minus the quantity of y

katrin2010 [14]

Answer:

The vertices are (3 , -5) , (-5 , -5)

The foci are (4 , -5) , (-6 , -5)

Step-by-step explanation:

* Lets study the equation of the hyperbola

- The standard form of the equation of a hyperbola with

center (h , k) and transverse axis parallel to the x-axis is

(x - h)²/a² - (y - k)²/b² = 1

- The length of the transverse axis is 2 a

- The coordinates of the vertices are (h ± a , k)

- The coordinates of the foci are (h ± c , k), where c² = a² + b²

- The distance between the foci is 2c

* Now lets solve the problem

- The equation of the hyperbola is (x + 1)²/16 - (y + 5)²/9 = 1

* From the equation

# a² = 16 ⇒ a = ± 4

# b² = 9 ⇒ b = ± 3

# h = -1

# k = -5

∵ The vertices are (h + a , k) , (h - a , k)

∴ The vertices are (-1 + 4 , -5) , (-1 - 4 , -5)

* The vertices are (3 , -5) , (-5 , -5)

∵ c² = a² + b²

∴ c² = 16 + 9 = 25

∴ c = ± 5

∵ The foci are (h ± c , k)

∴ The foci are (-1 + 5 , -5) , (-1 - 5 , -5)

* The foci are (4 , -5) , (-6 , -5)

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3 years ago

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Working alone, it would take Shandra 40 minutes to sand a table. To sand the same table, also working alone, it would take

egoroff_w [7]

Answer: it will take them about 24 minutes working together

Step-by-step explanation:

1/40 + 1/60 =

6/240 + 4/240 = 10/240 = 1/24

1/24 = 1/t

Cross multiplication:

1*t = 1*24

t= 24

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3 years ago

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Help with Math PLZ (Questions in screenshot)

-Dominant- [34]

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