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arlik [135]
3 years ago
15

4 students were scheduled to give book reports in one hour. after the 1st report, 2/3 hour remained. the next two reports too 1/

6 hour and 1/4 hour. what fraction of the hour remained?
Mathematics
1 answer:
VladimirAG [237]3 years ago
4 0
After the first, we have 2/3 left, the second and third took 1/6 and 1/4, or 5/12 (1/6+1/4=2/12+3/12=(2+3)/12=5/12). Now, we just subtract 5/12 from 2/3, so 2/3-5/12=8/12-5/12=(8-5)/12=3/12=1/4. This means we have 1/4 of an hour left.
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If a quadratic has x-intercepts at (-1,0) and (6,0), what would be the factored form of the equation?
Roman55 [17]

Answer:

(x+1)(x-6)

Step-by-step explanation:

3 0
3 years ago
The numbers of teams remaining in each round of a single-elimination tennis tournament represent a geometric sequence where an i
Anit [1.1K]

Answer:

a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}

Step-by-step explanation:

We are given the following in the question:

The numbers of teams remaining in each round follows a geometric sequence.

Let a be the first the of the geometric sequence and r be the common ration.

The n^{th} term of geometric sequence is given by:

a_n = ar^{n-1}

a_4 = 16 = ar^3\\a_6 = 4 = ar^5

Dividing the two equations, we get,

\dfrac{16}{4} = \dfrac{ar^3}{ar^5}\\\\4}=\dfrac{1}{r^2}\\\\\Rightarrow r^2 = \dfrac{1}{4}\\\Rightarrow r = \dfrac{1}{2}

the first term can be calculated as:

16=a(\dfrac{1}{2})^3\\\\a = 16\times 6\\a = 128

Thus, the required geometric sequence is

a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}

4 0
3 years ago
Can anybody help me with this this is all I need for today and it is for a grade. PLEASE HELP
zzz [600]
Not proportional, because the 185 divided by three isn’t 65. However, the others were 65 so it wasn’t consistent.

The constant would be 65.
4 0
3 years ago
HELP 10pts!!!
Vikki [24]

Answer:

148.12m²

Step-by-step explanation:

At first, lets find the area of rectangle.

length = 14m

breadth = 6m

Area of rectangle = length x breadth

= 14 x 6

= 84m²

Now, For the area of sector of the circle,

Given angle (a) = 34

radius = 14m

Area of the sector = a / 360 x pi x r²

= 34/360 x 3.14 x 14²

= 34 / 360 x 3.14 x 196

= 58.12m²

Now adding both areas,

84 + 58.12 = 142.12m²

4 0
3 years ago
6. Acceleration due to gravity varies according to places of the earth, why?​
valentina_108 [34]

Answer:

The variation in apparent gravitational acceleration (g) at different locations on Earth is caused by two things.The distance between the centers of mass of two objects affects the gravitational force between them, so the force of gravity on an object is smaller at the equator compared to the poles.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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