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2 years ago

I’ll give you BRAINLEST PLEASE HELP

Mathematics

1 answer:

ss7ja [257]2 years ago

7 0

Answer:

Help with what?

Step-by-step explanation:

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P varies inversely with x. If P = 7 when x = 8, find the value of P when x = 7.

inna [77]

Answer:

P = 8

Step-by-step explanation:

Given that P varies inversely with x then the equation relating them is

P = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition P = 7 when x = 8 , then

7 = $\frac{k}{8}$ ( multiply both sides by 8 )

56 = k

P = $\frac{56}{x}$ ← equation of variation

When x = 7 , then

P = $\frac{56}{7}$ = 8

3 0

2 years ago

The temperature of a cooling liquid over time can be modeled by the exponential function T(x) = 60(1/2)^(x/30) + 20, where T(x)

Alexus [3.1K]

Based on the scenario, the initial temperature would be :

28 = (60) (1/2)^x/30 + 20

(60) (1/2)^0/30 + 20 = 60 + 20 =

80 C

Hope this helps

6 0

3 years ago

For the differential equation dy/dt=ky, k is a constant, y(0)=24, and y(1)=18. What is the value of k?

Gre4nikov [31]

The equation is separable, so solving it is trivial:

$\dfrac{\mathrm dy}{\mathrm dt}=ky\implies\dfrac{\mathrm dy}y=k\,\mathrm dt$

Integrating both sides gives

$\ln|y|=kt+C\implies y=e^{kt+C}=Ce^{kt}$

Given $y(0)=24$ and $y(1)=18$ , we find

$24=C$

$18=Ce^k=24e^k\implies e^k=\dfrac34\implies k=ln\dfrac34$

so the answer is E.

8 0

3 years ago

Read 2 more answers

Find the distance between the complex numbers. z1 = 9 - 9i z2 = 10 - 9i

steposvetlana [31]

Answer:

The distance between the two given complex numbers = 9

Step-by-step explanation:

Explanation:-

Step(i):-

Given Z₁ = 9 - 9 i and Z₂ = 10 -9 i

Let A and B represent complex numbers Z₁ and Z₂ respectively on the argand plane

⇒ A = Z₁ = x₁ +i y₁ = 9 - 9 i and

B = Z₂ = x₂+ i y₂ = 10 -9 i

Let (x₁ , y₁) = ( 9, -9)

(x₂, y₂) = (10, -9)

Step(ii):-

The distance between the two points are

A B = $\sqrt{(x_{2} - x_{1})^{2}+(y_{2} - y_{1})^{2} }$

A B = $\sqrt{(10 - 1)^{2}+(-9 - (-9))^{2} }$

AB = $\sqrt{(9)^{2} +(-9+9)^{2} }$

AB = √81 = 9

Conclusion:-

The distance between the two given complex numbers = 9

3 0

3 years ago

mike and kim invest $14,000 in equipment to print yearbooks for schools. each yearbook costs $7 to print and sells for $35. how

Zina [86]

The answer is A.) 500 Year books.

The profit they would gain from each year book would be $28 since each year book costs $7 to make and sells for $35. You would simply divide 14,000 by 28 to find how many books they would need to sell in order to get their investment back which would be 500 books.

Hope this helps.

8 0

3 years ago