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2 years ago

Expand (p+q)² = p² + 2pq+q²

Mathematics

2 answers:

castortr0y [4]2 years ago

7 0

Answer:

The answer already exists in your question...

That is correct expansion

Schach [20]2 years ago

5 0

Answer:

Step-by-step explanation:

(p+q)^2 = (p+q)*(p+q) = (p+q)*p + (p+q)*q = p^2 + pq + pq + q^2 = p^2 + 2pq + q^2

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100y−39,000=55(x−800)

hoa [83]

Answer:

y = 11/20x -50

Step-by-step explanation:

100y−39,000=55(x−800)

Distribute

100y−39,000=55x−44000

Add 39000 to each side

100y−39,000+39000=55x−44000+39000

100y = 55x -5000

Divide each side by 100

100y/100 = 55x/100 - 5000/100

y = 11/20x -50

This is slope intercept form

where 11/20 is the slope and -50 is the y intercept

4 0

3 years ago

A. Find the reflection of the point (-3, 2) about the origin.

nadezda [96]

Answer:

a. (3,-2)

b. (-5,-3)

5 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

5x^{2}-44x+120=-30+11x i am confuseddddd

Luba_88 [7]

Answer: x=6 x=5

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A line has a slope of -6. Which of the following could describe two points on the line?

MrRa [10]

Answer:

A is the answer just did the quiz

5 0

3 years ago

Expand (p+q)² = p² + 2pq+q²​

Expand (p+q)² = p² + 2pq+q²