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4 years ago

place holder since picture has the work

Mathematics

1 answer:

ira [324]4 years ago

3 0

Answer:

A square.

Step-by-step explanation:

I plotted the points on Desmos and then connected them.

When connected, the lines form a square.

[Picture Below]

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Two airplanes, which start 3{,}3003,3003, comma, 300 miles apart, fly toward each other. The two planes fly at a constant speed,

castortr0y [4]

Answer:

distance=rate*time

2520=(r)(3)+(r+90)(3) (they both travel for 3 hours)

2520=3r+3r+270

2520-270=6r

2250=6r

r=2250/6

r=375 mph

r+90=375+90=465 mph

Step-by-step explanation:

4 0

3 years ago

A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t

11Alexandr11 [23.1K]

Answer:

Question 1: $dm/dt=0.2m$

Question 2: $m=Ae^{(0.2t)}$

Question 3: $m=10e^{(0.2t)}$

Question 4: $m=10g$

Explanation:

Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m

a) By definition: $m'=dm/dt$

b) Given: $rate=0.2m$

c) By substitution: $dm/dt=0.2m$

Question 2: Find the general solution of this equation. Use A as a constant of integration.

a) Separate variables

$dm/m=0.2dt$

b) Integrate

$\int dm/m=\int 0.2dt$

$ln(m)=0.2t+C$

c) Antilogarithm

$m=e^{0.2t+C}$

$m=e^{0.2t}\cdot e^C$

$e^C=A\\\\m=Ae^{(0.2t)}$

Question 3. Which particular solution matches the additional information?

Use the measured rate of 4 grams per hour after 3 hours

$t=3hours,dm/dt=4g/h$

First, find the mass at t = 3 hours

$dm/dt=0.2m\\\\4=0.2m\\\\m=4/0.2\\\\m=20g$

Now substitute in the general solution of the differential equation, to find A:

$m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976$

Round A to 1 significant figure:

A = 10.

Particular solution:

$m=10e^{(0.2t)}$

Question 4. What was the mass of the bacteria at time =0?

Substitute t = 0 in the equation of the particular solution:

$m=10e^{0}\\\\m=10g$

3 0

3 years ago

What is the volume of a hemisphere with a radius of 8.8 cm, rounded to the nearest

gizmo_the_mogwai [7]

Answer:

1427.3

Step-by-step explanation

just did it, got it right, don't listen to the mf above me.

4 0

3 years ago

Solve the equation 4(3y-1)-3(2y)=6

olga nikolaevna [1]

Answer:

$4(3y - 1) - 3(2y) = 6$

Remove backets

$12y - 4 - 6y = 6$

Group and Evaluate like terms

$12y - 6y = 6 + 4$

$6y = 10$

$y = 10 \div 6$

$y = 1.67$

$y = \frac{5}{3}$

6 0

4 years ago

PLEASE HELP 23 point

Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

7 0

3 years ago

*place holder since picture has the work*

place holder since picture has the work