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3 years ago

25 POINTS!!!!!!!!!!!!!!!!!! PLEASE HELP!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

8 0

Write the range of the function given in the graph in interval notation.However, it is much better to write it in set notation or interval notation. Here's the summary of the domain and range of the given function written in two ways… Because the function involved is a line, I can predict that the range is all y values . It can definitely go as high or as low without any limits.

d. (-4,3)∪(3,8)

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A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating the curve y=ax2 about the y-a

Blizzard [7]

Answer:

Step-by-step explanation:

See attached file .

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3 years ago

Prove the divisibility of the following numbers:

Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

$75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}$

(B)

$72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}$

In this case, it is easier to also factor the divisor to primes:

$72^{63}=2^{189}\cdot 3^{126}$

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

$2^{189}\cdot 3^{126}|2^{196}\cdot 3^{126}\implies\\2^{189}|2^{196}\,\,\mbox{and}\,\,3^{126}|3^{126}$

6 0

3 years ago

Tim has a rectangular prism with a length of 10 centimeters, a width of 2 centimeters, and an unknown height. he needs to build

ozzi

The volume of the original prism is given by:
V1 = (10) * (2) * (h)
rewriting:
V1 = 20h
Where,
h: height
The volume of the second prism is given by:
V2 = (5) * (w) * (h)
We know that the height is the same.
As the volume is the same then:
(5) * (w) * (h) = 20h
Clearing w we have:
w = (20/5) = 4 cm
Answer:
The width, in centimeters, of the new prism is:
w = 4cm

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3 years ago

The diagram shows two campsites on opposite ends of a lake and two triangles formed by intersecting segments from the campsites.

Aleks [24]

Answer:

x=42.3m

Step-by-step explanation:

x/47=82.8/92

92x=3891.6= 42.3m is the distance

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3 years ago

Plz answer.............

spayn [35]

Answer:

( - x, - y )

Step-by-step explanation:

The starting is always Quadrant I.

270 degrees clockwise from Quadrant I is Quadrant III.

In Quadrant III, the points will be in the form ( - x, - y ).

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3 years ago