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3 years ago

35,x,and (x+15) what is the equation

Mathematics

1 answer:

Serjik [45]3 years ago

3 0

Answer:

what???!!!! I don't understand! you can writen again

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A public school in your city has 1710 girls among the 2970 students. What is the ratio of boys to girls in school

Minchanka [31]

Answer:

The simplest answer would just be 14:19

However the unsimplified answer is 1260:1710

3 0

3 years ago

I need help on number #16

SCORPION-xisa [38]

It only equals positive 12, that symbol means it equals positive and negative 12

4 0

3 years ago

A line has a slope of 3 and a y-intercept of 5. What is its equation in slope-intercept form? Write your answer using integers,

s344n2d4d5 [400]

Answer:

$y=3x+5$

Step-by-step explanation:

The problem is asking for slope-intercept form, luckily, they gave us both of those things.

Slope-intercept form: $y=mx+b$ , where $m=$ slope and $b=$ y-intercept.

So,

$y=3x+5$

Hope this helps!

7 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

Amanda can jog 18 miles in 5 hours. At this rate, how many miles can Amanda jog in 4 hours?

vekshin1

Answer:

14.4 miles

Step-by-step explanation:

5 goes into 18 3.6 times and 3.6 x 4 = 14.4, she can run 3.6 miles per hour

3 0

3 years ago

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