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gayaneshka [121]
3 years ago
11

Given the point A(-3,-2) and B(6,1), select two possible locations for point P so that P partitions AB in the ratio 2:1

Mathematics
1 answer:
natta225 [31]3 years ago
7 0

Answer: (0,3) & (0,-1)

Step-by-step explanation:

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A power line is to be constructed from a power station at point A to an island at point C, which is 1 mi directly out in the wat
navik [9.2K]

Answer:

<u>Given :</u>

length offshore = CS=√(1+X^2)

Cable charged = 5000√(1+X^2)

onshore length = 4-X

laying cost = 3000(4-X)

total cost:

C=5000√(1+X^2) +3000(4-X)

DC/DX

= [5000*(0.5)*2X/{√(1+X^2)}]-3000=0... for optimum

5000X=3000√(1+X^2)

25X^2=3+3X^2

22X^2=3

X=√(3/22)

= 0.3693 miles

So, it would be laid offshore to S in a manner that

BS=X=0.3693 miles

Onshore=4-0.3693

=3.6307 miles

7 0
3 years ago
A scale drawing of a playground is shown below.
kolezko [41]
Hm... I think 440 Square feet..?
7 0
4 years ago
Realiza estas operaciones y expresa el resultado en metros 1m-(5dm3cm) (2hm4m)+35dam (3hm6dam)+(8dam5m) (2m5dm6cm)-85cm
ivolga24 [154]

Answer:

126.109,63 m

Step-by-step explanation:

Por conveniencia, todas las unidades se convierten a m

1000 m = 1 km

100 m = 1hm

10m = 1 presa

1 m = 1 m

10dm = 1m

100 cm = 1 m

1000 mm = 1 m

1m- (5dm3cm) (2hm4m) + 35dam (3hm6dam) + (8dam5m) (2m5dm6cm) -85cm

= 1m- (5/10 +3/100) (2 * 100 + 4m) + 35 * 10 (3 * 100 + 6 * 10) + (8 * 10 + 5m) (2m + 5/10 + 6/100 ) -85/100

= 1 m- (0.5 +0.03) (200 + 4m) +350 (300 +60) + (80 + 5m) (2m + 0.5 + 0.06) -85/100

= 1 m- (0,53) (204 m) +350 (360) + (85 m) (2,56) -85/100

= 1 m- (108,12 m) +126000+ (217,6) - 0,85

= 126.109,63 m

For convenience all units are converted to m

1000m = 1km

100 m= 1hm

10m = 1 dam

1m= 1m

10dm= 1m

100 cm= 1 m

1000 mm= 1m

1m-(5dm3cm) (2hm4m)+35dam (3hm6dam)+(8dam5m) (2m5dm6cm)-85cm

= 1m-(5/10 +3/100) (2*100 +4m)+35*10 (3*100 +6*10)+(8*10+5m) (2m+5/10+6/100)-85/100

= 1m-(0.5 +0.03) (200 +4m)+350 (300 +60)+(80+5m) (2m+0.5+0.06)-85/100

= 1m-(0.53) (204m)+350 (360)+(85m) (2.56)-85/100

= 1m-(108.12m)+126000+(217.6)- 0.85

= 126,109.63 m

5 0
3 years ago
A researcher is 95% confident that the interval from 5.2 hours to 7.8 hours captures u = the true mean amount of time
igor_vitrenko [27]
<h3>Answer: Choice B</h3>

No, this is not a plausible value for the population mean, because 5 is not within the 95% confidence interval.

====================================================

Explanation:

The greek letter mu is the population mean. It has the symbol \mu which looks like the letter 'u' but with a tail at the front or left side.

The question is asking if mu = 5 is plausible if the researcher found the 95% confidence interval to be 5.2 < mu < 7.8

We see that 5 is <u>not</u> in that interval. It's a bit to the left of 5.2

Since mu = 5 is not in the interval, it's not a plausible value for the population mean.

Have we ruled it out with 100% confidence? No. Such a thing is not possible. There's always room for (slight) error. The researcher would need to do a census to be fully confident; however, such practices are very time consuming and expensive. This is the main reason why statistics is important to try to estimate the population with a sample.

8 0
3 years ago
Which polynomial lists the powers in descending order? A. –10 + 4x3 – 4x5 + 2x4 + x7 B. x7 – 4x5 + 2x4 + 4x3 – 10 C. x7 + 4x3 +
Artist 52 [7]
The answer for the exercise shown above is the option  B, which is: x^{7} -4 x^{5} +2 x^{4} +4 x^{3}- 10
 
The explanation is shown below:
 To list the powers of the polynomial given in the problem above in descending order, you must write the terms from the highest degree to the lowest degree. You have that the highest degree is 7&#10; and the lowest degree is 0&#10;(Because -10 x^{0} =-10(1)=-10. Therefore, you have that the correct option is the option B.
4 0
3 years ago
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