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2 years ago

Is 1/2(2p+9)=-p+5 a one solution or infinite solution or no solution

Mathematics

1 answer:

vitfil [10]2 years ago

4 0

Your inequality has one solution which is p = 1/4

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Name another pair of metric units of length that have the same relationship

Vanyuwa [196]

<span>One pair of metric unit of length would be meters and kilometers. 1 km is equal to 1000 meters. Metric system is the official/standard in measuring length, mass, area, volume, speed, etc. and it is the agreed system of measurement.</span>

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3 years ago

Amanda is mailing 5 remote control cars. The mass has a total of 3,470 grams, What is the mass of each car?

Cerrena [4.2K]

Answer:

Assuming each car has the same mass, 694 grams.

Step-by-step explanation:

3470 ÷ 5 = 694

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3 years ago

Elise gathered details about her finances to create financial assets and liabilities record. which represents one of her liabili

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3 years ago

As baby boomers enter their golden years, the number of people afflicted with Alzheimer's disease is expected to rise dramatical

dybincka [34]

Answer:

Step-by-step explanation:

Given that the number of people with Alzheimer's disease in the United States age 65 years and over is projected to be

$N(t) = 0.00525t^2 +0.075t+4.7,(0 ≤ t ≤ 4)$

where N is in millions where year 2010 corresponds to t=0

For 2020, 10 years lapsed hence t= 1

a) $N(1) = 0.00525(1)^2 + 0.075(1) + 4.7\\=4.78025$

So 4.78025 million people

b) Growth = N(1)-n(0) =0.08025 million

c) N(4) = 5.084

Average rate of change = (5.084-4.7)/4 =0.096 million per decade

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3 years ago

Does anyone know how to solve this? It’s really starting to stress me out.

bekas [8.4K]

Answer:

π − 12

Step-by-step explanation:

lim(x→2) (sin(πx) + 8 − x³) / (x − 2)

If we substitute x = u + 2:

lim(u→0) (sin(π(u + 2)) + 8 − (u + 2)³) / ((u + 2) − 2)

lim(u→0) (sin(πu + 2π) + 8 − (u + 2)³) / u

Distribute the cube:

lim(u→0) (sin(πu + 2π) + 8 − (u³ + 6u² + 12u + 8)) / u

lim(u→0) (sin(πu + 2π) + 8 − u³ − 6u² − 12u − 8) / u

lim(u→0) (sin(πu + 2π) − u³ − 6u² − 12u) / u

Using angle sum formula:

lim(u→0) (sin(πu) cos(2π) + sin(2π) cos(πu) − u³ − 6u² − 12u) / u

lim(u→0) (sin(πu) − u³ − 6u² − 12u) / u

Divide:

lim(u→0) [ (sin(πu) / u) − u² − 6u − 12 ]

lim(u→0) (sin(πu) / u) + lim(u→0) (-u² − 6u − 12)

lim(u→0) (sin(πu) / u) − 12

Multiply and divide by π.

lim(u→0) (π sin(πu) / (πu)) − 12

π lim(u→0) (sin(πu) / (πu)) − 12

Use special identity, lim(x→0) ((sin x) / x ) = 1.

π (1) − 12

π − 12

3 0

2 years ago

Is 1/2(2p+9)=-p+5 a one solution or infinite solution or no solution​

Is 1/2(2p+9)=-p+5 a one solution or infinite solution or no solution