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4 years ago

Please help please please please help

Mathematics

1 answer:

Kipish [7]4 years ago

8 0

Answer:

In the image attached , point G would be the best location for the amphitheatre.

Step-by-step explanation: The developer in order to find the best location for the amphitheatre, needs to find the centroid of the triangle shaped city.

Centroid can be find out easily by finding out the intersection points of all the medians. So we find it by joining TOWN A to midpoint of TOWN B and C , TOWN B to midpoint of TOWN A and C , TOWN C to midpoint of TOWN A and B. And we can observe where these three lines meet is our required point G and also the best location for amphitheatre.

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Given f(x) = V6x and g(x) =

AURORKA [14]

Answer:

8 is the only one that will work

Step-by-step explanation:

(f o g)(x)=f(g(x)).

So this means the x will first be plug into g.

So let's check your choices.

g(6)=1/(6-6)=1/0 so 6 is not in the domain of g which means it isn't in the domain of (f o g).

g(8)=1/(8-6)=1/2 so this is a number so 8 is in the domain of g,

Let's check if 1/2 is in the domain of f.

f(1/2)=sqrt(6*1/2)=sqrt(3) so this is a number so since 1/2 is in the domain of f then 8 is in the domain of (f o g).

g(4)=1/(4-6)=1/(-2)=-1/2 so 4 is in the domain of g,

f(-1/2)=sqrt(6*-1/2)=sqrt(-3) so this is a problem because you can't square root negative numbers so -1/2 isn't in the domain of f, and therefore 4 isn't in the domain of (f o g).

g(2)=1/(2-6)=1/-4=-1/4 so 2 is in the domain of g.

f(-1/4)=sqrt(6*-1/4)=sqrt(-3/2) so again this is a problem because we can't square root negative numbers so -1/4 isn't in the domain of f, and therefore 2 isn't in the domain of (f o g).

4 0

3 years ago

Simplify the expression. 5 + 4 • (8 – 6)2

aliya0001 [1]

5 + 4 • (8 - 6)2 = 5 + 4 • (2)2 = 5 + 4 • 4 = 5 + 16 = 21

8 0

3 years ago

Find LN in the image below .

Anarel [89]

Answer:

Step-by-step explanation:

We see that MP and PL are congruent, as are MQ and QN. Using scale factors, we can conclude that the scale factor from MP to ML is 1:2.

Based on SAS similarity, MPQ and MLN are similar, so their sides are proportional.

6 0

3 years ago

Two boxes are stacked one on top of the other. One box is 6 feet 7 inches tall, and the other is 6 feet 6 inches tall. How high

Orlov [11]

Answer:

7ft 1in.

Step-by-step explanation:

add the two 6 ft together and that gives you 12 ft. then add 7 in + 6 in which gives you 13 in. There are 12 in a foot, so you take 12 away from the 13 giving you 1 in remaining and 1 additional foot to add to the 12.

6 0

2 years ago

LabTech is a company that manufactures microscopes and other laboratory instruments . On occasion, one of the microscopes is def

Scrat [10]

Answer:

0.0782 (7.82%)

Step-by-step explanation:

The required probability will be found by using the Binomial Distribution which fits the case of n independent events each with a probability of success equal to p with k successes.

The PMF (Probability Mass Function) is

$f(k,n,p)=\binom{n}{k}p^kq^{n-k}$

Where $q = 1-p$

LabTech states that the probability that a microscope is defective is 0.17%, p=0.0017, q=0.9983. We need to know the probability that k=1 microscope is defective out of a set of n=50 of them. We now apply the formula

$f(1,50,0.0017)=\binom{50}{1}0.0017^10.9983^{49}=0,0782$

Which means that there is a 7.82% of probability to get 1 defective microscope out of the first 50

5 0

3 years ago