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Reika [66]
3 years ago
13

Consider the infinite geometric series 2(p-5) + 2(p-5)² + 2(p-5)³​

Mathematics
1 answer:
nasty-shy [4]3 years ago
7 0
10(p+3)-4(p+10)-6(p+15)
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If you roll a dice 600 times, on how many occasions would you expect to land on a 6
egoroff_w [7]

Answer:

100

Step-by-step explanation:

A dice has 6 sides and, theoretically, each side has the same probability of being rolled. So, if a dice was rolled a number of times, it would land on each side the same number of times. This means that 6 would be rolled 1/6 of the time. Since 1/6 of 600 is 100, that is how many times 6 would be rolled.

5 0
3 years ago
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A car is traveling at a speed of yy miles per hour. Which situation would be described by the expression 1.2y1.2y? the speed of
kotykmax [81]
Answer:
<span>the speed of the car after it is increased by 20%
</span>
Explanation:
We are given that the speed of the car is y miles per hour.
Now, 1.2y can be expressed as follows:
1.2y = y + 0.2 y
which is equivalent to:
1.2y = y + 20%y

Since y is the speed, based on the above, we can infer that the speed of the car increased by 20%

Hope this helps :)
5 0
3 years ago
4x/5 - x = x/10 -9/2
svlad2 [7]
Hopefully this help you !!

4 0
3 years ago
Which of these statements is true
Eva8 [605]

Answer:

B:  The y-intercept is (0,2).

Step-by-step explanation:

See attached graph.

7 0
1 year ago
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A cone of radius 10 cm and height 16 cm is divided into two parts by a plane through the midpoint of its
bazaltina [42]

Answer:

The ratio of their volumes (the top to bottom half) is 1/7

Step-by-step explanation:

The given parameters are;

The radius, r, of the cone = 10 cm

The height of the cone = 16 cm

The point at which the cone is divided = The midpoint of the its axis and parallel to its base

The ratio of the of the volume of the two parts is given as follows;

The volume, V of the entire cone = 1/3 × Base area (π·r²) × Height, h

Therefore;

V = 1/3 × π × 10² × 16 =1600·π/3 =  1675.52 cm³

The height at which the cone is divided = 16/2 = 8 cm

The height, h₁ of the uppermost divided cone = 8 cm

The ratio of the radius to the height of the cone = 10/16 = 5/8

The radius r₁, of the uppermost divided cone = The height of the uppermost divided cone × The ratio of the radius to the height of the cone

∴ r₁ = 8 × 5/8 = 5 cm

The volume, V₁, of the uppermost divided cone = 1/3 × (π·r₁²) × h₁

∴ V₁ = 1/3 × π × 5² × 8 = 200·π/3 = 209.44 cm³

Which gives;

The volume of the lower cone, V₂ =  V - V₁

V₂ =  1675.52 cm³ - 209.44 cm³ = 1400·π/3 = 1466.1 cm³

The ratio of their volumes V₁ : V₂ = V₁/V₂ = (200·π/3)/(1400·π/3) = 209.44/1466.1 = 1/7.

7 0
3 years ago
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