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2 years ago

1000 to the fourth power(?

Mathematics

2 answers:

Alik [6]2 years ago

8 0

Answer:

Step-by-step explanation:

Answer: Raise 1000 to the power of 4

1000000000000

tekilochka [14]2 years ago

6 0

The answer to this is 1,000,000,000,000. We need to find the value of 4th power of this number. In this, we multiply the same number 4 times to obtain the term.

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Which measurement is the best estimate for the distance between New York City and Washington, D.C.?:

Aleks [24]

The best estimate would be D: 331 km

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3 years ago

Consider a circle. The length of the arc for the central angle of 45 degrees is 16cm, then the total circumference (perimeter) o

Amanda [17]

Answer:

Step-by-step explanation:

the arc length is calculated as

arc = circumference (C) × fraction of circle , then

16 = C × $\frac{45}{360}$ = C × $\frac{1}{8}$ ( multiply both sides by 8 )

128 = C

circumference of circle is 128 cm

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2 years ago

A bacterial culture starts with 400 bacteria and grows at a rate proportional to its size. After 2 hours there will be 800 bacte

kotykmax [81]

Answer:

P(t) = 400×2^(t/2)
6400
5.0

Step-by-step explanation:

The wording "a rate proportional to its size" is an indication that growth (or decay) is exponential.

1) For many problems involving exponential growth, I like to use the numbers given in the problem statement as follows.

population = (initial population) × (growth factor)^(t/(growth period))

where the "growth period" is the period of time in which the population is multiplied by the "growth factor".

Here, we're given ...

(initial population) = 400

(growth factor) = 800/400 = 2

(growth period) = 2 . . . . hours

So, our population function can be written as ...

P(t) = 400×2^(t/2)

2) Putting t=8 into the formula, we get ...

P(8) = 400×2^(8/2) = 400×16 = 6400

After 8 hours, the population will be 6400.

3) Fill in the given number and solve for t.

2270 = 400×2^(t/2)

2270/400 = 2^(t/2)

Taking logs, we have ...

log(227/40) = (t/2)log(2)

t = 2×log(227/40)/log(2) ≈ 5.009

After 5.0 hours, the population will reach 2270.

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4 years ago

HARDEST QUESTION IN THE WORLD

Serggg [28]

I believe it is the first 1

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4 years ago

Read 2 more answers

Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equatio

Reika [66]

Answer:

The maximum height of the marshmallow is 49 feet.

Step-by-step explanation:

The vertex form of a parabola is

$y=a(x-h)^2+k$ .... (1)

Where, (h,k) is vertex of the parabola is a is constant.

The given function is

$h=-16(t-14)^2+49$ ..... (2)

Where, h is height of the marshmallow (in feet) and t is the time (in seconds) after he throws the marshmallow.

From equation (1) and (2), we get

$a=-16,h=14,k=49$

The value of a is -16, which is less than 0. So, the given function is a downward parabola.

The vertex of a downward parabola is the point of maxima.

The value of h is 14 and the value of k is 49. So, the vertex of the parabola is (14,49). It means the maximum height of the marshmallow is 49 feet in 14 seconds.

Therefore the maximum height of the marshmallow is 49 feet.

7 0

4 years ago