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2 years ago

PLEASE help no scam or ill report

Mathematics

1 answer:

dezoksy [38]2 years ago

5 0

Answer:

These opposite angles are called Vertical Angles.

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Find the missing side length image below

barxatty [35]

Answer:

Step-by-step explanation:

Based on the Proportional Transversal Theorem, the three parallel lines hat intersects the two transversals, divides the transversal lines proportionally.

Therefore, we would have the following ratio:

28/35 = ?/50

Cross multiply

35*? = 50*28

35*? = 1,400

Divide both sides by 35

? = 1400/35

? = 40

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

Simplify completely quantity 4 x squared minus 32 x plus 48 all over quantity 3 x squared minus 17 x minus 6. (1 point)

Galina-37 [17]

Given rational expression is:

$\frac{(4x^2-32x+48)}{(3x^2-17x-6)}$

Now we can simplify this by factoring as shown below:

$=\frac{4(x^2-8x+12)}{(3x^2-17x-6)}$

$=\frac{4(x-2)\left(x-6\right)}{(3x^2-18x+1x-6)}$

$=\frac{4(x-2)\left(x-6\right)}{3x\left(x-6\right)+1\left(x-6\right)}$

$=\frac{4(x-2)\left(x-6\right)}{(3x+1)\left(x-6\right)}$

$=\frac{4(x-2)}{(3x+1)}$

Hence final answer is $\frac{4(x-2)}{(3x+1)}$

8 0

3 years ago

the expression 8+2t can be used to find the total cost of admission and t amusement rides at a country fair. what statement is t

lara [203]

the anwser is going to be A

8 0

2 years ago

Hey, sisters help me out so i can get this finished by Friday. Answer all please not just one not just two not just three, if yo

Kobotan [32]

Answer:

Step-by-step explanation:

First question 1 = 0.3 = 0.7

Second question 60/5=12 so 12 hours

Third question first find lcm so 6

2 3/6 and 7 2/6

2.5 + 2.5 = 5 so 2 cakes

Fourth question

729/14 um calculator but ok 729/14=52.07 so 52.1

You said you'd report me if i only did 3,2,or 11 but i did 4 so i think im fine

5 0

3 years ago