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Sergio039 [100]
2 years ago
7

Ms. Pacheco, Mr. Edwards, and Mr. Richards are three math teachers at Turner Middle School. Ms. Pacheco is three years older tha

n Mr. Richards. Mr. Edwards is twice as old as Mr. Richards. The sum of Mr. Richards’ age and Mr. Edwards’ age is 81. How old is each person?

Mathematics
1 answer:
Ganezh [65]2 years ago
3 0
First you subtract 3 years from the sum of Mr. Richards' and Mr. Edwards' age because Ms. Richards is 3 years older than Mr. Richards. Then divide 78 by 3 because 2/3's of the years will go to Mr. Edwards and 1/3 of the years to Mr. Richards since he is double the age of Mr. Richards. So 78÷3=26 that gives you 26 and the remaining years are 52. Therefore, Ms. Pacheco is 29, Mr. Richards is 26 and Mr. Edwards is 52

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Vera_Pavlovna [14]

Answer:

y''=-1.26

Step-by-step explanation:

We are given that 2x^2+y^2=17

We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.

Differentiate w.r.t x

Then , we get

4x+2yy'=0

2x+yy'=0

yy'=-2x

y'=-\frac{2x}{y}

Again differentiate w.r.t.x

Then , we get

2+(y')^2+yy''=0 (u\cdot v)'=u'v+v'u)

2+(y')^2+yy''=0

Using value of y'

yy''=-2-(-\frac{2x}{y})^2

y''=-\frac{2+(-\frac{2x}{y})^2}{y}

Substitute x=2 and y=3

Then, we get y''=-\frac{2+(\frac{4}{3})^2}{3}

y''=-\frac{18+16}{9\times 3}=-\frac{34}{27}

Hence,y''=-1.26

6 0
2 years ago
For flights from a particular airport in January, there is a 30 percent chance of a flight being delayed because of icy weather.
lyudmila [28]

Answer:

0.335

Step-by-step explanation:

1. There is a 30 percent chance of a flight being delayed because of icy weather ,then the probability of being delayed is 0.3 and of being not delayed is 0.7.

2. If a flight is delayed because of icy weather, there is a 10 percent chance the flight will also be delayed because of a mechanical problem, then the probability of being delayed is 0.1 and the probabilty of not being delayed is 0.9.

3. If a flight is not delayed because of icy weather, there is a 5 percent chance that it will be delayed because of a mechanical problem (MP), then the probability of being delayed is 0.05 and the probabilty of not being delayed is 0.95. (See attached probability tree)

Delayed of icy weather - 0.3

Delayed of MP when weather is not icy - 0.7·0.05=0.035

Now, if one flight is selected at random from the airport in January, the probability that the flight selected will have at least one of the two types of delays is

0.3+0.035=0.335

8 0
2 years ago
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liubo4ka [24]

sandbox 1 area = 5*5 = 25 square m

sandbox 2

25=w*(3w+1)=

3w^2+w-25=0

w=2.7248 (round to 2.72 m)

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Longest side = 9.16 meters

6 0
2 years ago
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The answer would be false
5 0
2 years ago
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