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dem82 [27]
3 years ago
12

Consider the following geometric sequence -5, 10, -20, 40,..... if the recursive formula for the sequence above expressed in the

form a(n)=b*c^n-1, determine the value of b and c.
Mathematics
1 answer:
MAXImum [283]3 years ago
3 0
B is -5 and C is -2. Since -5 is the first number, a(1) is bc^0 and that would make c = 1. B would need to be -5. In the second number, since we know b is -5, c would need to be -2 and anything to the 2-1 is just the same value.
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A motor boat travels 60 miles down a river in three hours but takes five hours to return upstream. Find the rate of the boat in
Kryger [21]

Answer:

  • boat: 16 mph
  • current: 4 mph

Step-by-step explanation:

  speed = distance / time

The rate downriver is (60 mi)/(3 h) = 20 mi/h.

The rate upriver is (60 mi)/(5 h) = 12 mi/h.

The rate of the boat in still water is the average of these:

  (20 +12)/2 mi/h = 16 mi/h

The rate of the current is the difference between the boat speed and actual speed:

  16 mi/h - 12 mi/h = 4 mi/h

3 0
3 years ago
Ellen makes and sells bookmarks. She graphs the number of bookmarks sold compared to the total money earned. What is the rate of
Temka [501]

Answer:

2/5

Step-by-step explanation:

i took test and i got 100

4 0
3 years ago
Read 2 more answers
5.6 as an improper fraction simplified?
Phoenix [80]
As a fraction, it would be 5 6/10. Then you multiply the denominator by the whole number 5x10 and add the numerator. So,
10X5+6=56
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28/5 is the simplified version
8 0
3 years ago
A truck that is 12 ft. by 10 ft. by 15 ft. carries cube
kvasek [131]

Answer: 284 boxes in the shape of the cubes can be fitted in the truck.

Step-by-step explanation:

If a truck is fitted fully with the cubes, volume of the truck will be equal to the volume of cubes to be fitted.

Dimensions of the truck given in the question,

Length = 10 feet, width = 12 feet and height = 8 feet

Since, volume of a cuboid (shape of a truck) is given by the expression,

Volume = Length × Width × Height

Therefore, volume of the truck = 10 × 12 × 8

                                                  = 960 feet³

Volume of a cube is given by the expression,

Volume = (side)³

Therefore, volume of the cube with side length 1.5 feet will be,

Volume of a cube = (1.5)³

                             = 3.375 cubic feet

Let the number of cubes fitted in the truck = x

Therefore, volume of 'x' cubes = (3.375x) feet³

Since, volume of the truck = Volume of the cubes fitted

3.375x = 960

x =  960/3.375

x = 284.44

x ≈ 284

    Therefore, 284 boxes in the shape of the cubes can be fitted in the truck.

5 0
1 year ago
Read 2 more answers
An angle measures 44° less than the measure of its complementary angle. What is the measure of each angle?
ryzh [129]

a+b=90°

a=b+44°

b+44°+b=90°

2b+44°=90°

2b=90°-44°

2b=46°

b=23°

a=23°+44°

a=67°

8 0
3 years ago
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