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ryzh [129]
2 years ago
14

Fill in the blank (no word bank)

Mathematics
1 answer:
iren [92.7K]2 years ago
6 0

Answer:

Angle, Lengths

Step-by-step explanation:

Angle measurements and segment lengths are preserved as the transformations neither change the scale factor nor change the angle measurements

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The differential equation in Example 3 of Section 2.1 is a well-known population model. Suppose the DE is changed to dP dt = P(a
LuckyWell [14K]

Answer:

Decreases

Step-by-step explanation:

We need to determine the integral of the DE;

dP/dt=P(aP-b)

dP=P(aP-b)dt

1/(dP^2-bP)dP=dt

We can solve this by integration by parts on the left side. We expand the fraction 1/P²:

1/(d-b/P)\cdot{P^2} dP

let

u=d-b/P

du/dP=b/P^2

dP=\int\limits {P^2/b} \, du

P=lnu/b

Substitute u in:

P=ln(d-b/P)/b

Therefore the equation is:

ln(d-b/P)/b=t

We simplify:

d-b/P=e^b^t

P=b/(d-e^b^t)

As t increases to infinity P will decrease

6 0
3 years ago
The equation that has a graph with a slope of -5/2 and passes through (6,-6)
timama [110]
The answer is y=-5/2x+9 and the picture includes the equation and points. Hopefully, this helps.

5 0
3 years ago
1) 3x – 2y=-16<br> Write the slope-intercept form of the equation of each line
raketka [301]

Answer:

y = \frac{3}{2} x + 8

Step-by-step explanation:

The equation of a line in slope- intercept gorm is

y = mx + c

Given

3x - 2y = - 16 ( subtract 3x from both sides )

- 2y = - 3x - 16 ( divide all terms by - 2 )

y = \frac{3}{2} x + 8 ← in slope- intercept form

7 0
3 years ago
Read 2 more answers
A trader bought 60 article for N25000 and sold them at N6000 per dozen.
Svet_ta [14]

Step-by-step explanation:

N6000×5=N30000

1)N30000-N25000=N5000

2)N5000÷N25000×100℅=20℅

3 0
3 years ago
tess has 100 dimes and quarters , if the total of the coins is $21.40 how many of each of the coins does she have ?? Using subst
Zanzabum

Answer: 24 and 76

Step-by-step explanation:

{

d

+

q

=

100

10

d

+

25

q

=

2140

From the first equation, we have  

d

=

100

−

q

Substituting that into the second equation, we have

10

(

100

−

q

)

+

25

q

=

2140

⇒

1000

−

10

q

+

25

q

=

2140

⇒

15

q

=

1140

⇒

q

=

1140

15

=

76

Knowing that  

q

=

76

we can substitute that value into the first equation to obtain

d

+

76

=

100

∴

d

=

24

Thus, Sue has  

24

dimes and  

76

quarters.

4 0
3 years ago
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