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3 years ago

Which point is on the perpendicular bisector of the segment with endpoints (-2,5) and (-2,-3)

Mathematics

1 answer:

Kryger [21]3 years ago

3 0

(-2,0)

Lies on the X axis makes it perpendicular with the other points

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Find the volume of cylinder<br> Diameter of base is 11 cm<br> Height of cylinder is 16cm

just olya [345]

Answer:

1520.5 cm³

Step-by-step explanation:

Volume formula for cylinder: V = πr²×h

Radius = 11 ÷ 2

= 5.5cm

Volume = π × 5.5² × 16

=1520.5cm³

3 0

3 years ago

A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri

GuDViN [60]

Answer:

1. $\frac{dy}{dt}=ky$

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

$\frac{dy}{dt}$ =Number of bacteria per unit time

$\frac{dy}{dt}\proportional y$

$\frac{dy}{dt}=ky$

Where k=Proportionality constant

2. $\frac{dy}{y}=kdt$ ,y'(0)=100

Integrating on both sides then, we get

$lny=kt+C$

We have y(0)=200

Substitute the values then , we get

$ln 200=k(0)+C$

$C=ln 200$

Substitute the value of C then we get

$ln y=kt+ln 200$

$ln y-ln200=kt$

$ln\frac{y}{200}=kt$

$\frac{y}{200}=e^{kt}$

$y=200e^{kt}$

Differentiate w.r.t

$y'=200ke^{kt}$

Substitute the given condition then, we get

$100=200ke^{0}=200 \;because \;e^0=1$

$k=\frac{100}{200}=\frac{1}{2}$

$y=200e^{\frac{t}{2}}$

Substitute t=2

Then, we get $y=200e^{\frac{2}{2}}=200e$

$y=200(2.718)=543.6=543.6$

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0

3 years ago

What is the slope of the line through -7,-8 and (0,4)?

Sphinxa [80]

Answer:

A: 12/7

Step-by-step explanation:

4 0

2 years ago

Two number cubes are tossed. Find P(1, then 2 or 3).

Andreyy89

Answer:

1/2

Step-by-step explanation:

6 0

2 years ago

1/2 4/3 9/4 16/5<br> find the nth term of this sequence

Phantasy [73]

The nth number is 81 /10.

Steps:
You multiple the denominator by itself

4 0

2 years ago