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2 years ago

Write the product as a power. 1. 5 x 5 x 5 2. 13 x 13 3. 8.8.8.8.8.8 Plz help!!

Mathematics

1 answer:

STatiana [176]2 years ago

7 0

Answer:

1. 5³ ( five to the power of three )

2. 13² ( thirteen to the power of two )

3. 8⁶ ( eight to the power of six )

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For an integer n ≥ 0, show that (n/2) - (-n/2) = n. Use greatest integer function

mars1129 [50]

The greatest integer function returns the largest integer smaller than the number you provide it. That is, if n ≤ x < n + 1, where n is an integer, then the "greatest integer of x" is [x] = n.

• Let n be even. Then we can write n = 2k for some integer k ≥ 0. Now,

[n/2] = [k] = k

while

[-n/2] = [-k] = -k

so that

[n/2] - [-n/2] = 2k = n

• Let n be odd. Then n = 2k + 1 for some integer k ≥ 0. Every odd integer occurs between two even integers, so that

n - 1 < n < n + 1

or equivalently,

2k < n < 2k + 2

so that

k < n/2 < k + 1

It follows that [n/2] = k.

Similarly, if we negative the previous inequality, we have

-k > -n/2 > -(k + 1), or -k - 1 < -n/2 < -k

which means [-n/2] = -k - 1.

So we make the same conclusion,

[n/2] - [-n/2] = k - (-k - 1) = 2k + 1 = n

3 0

2 years ago

4 The number of laps Jessica runs around the track is proportional to the time she

iragen [17]

Answer:

A. 24 lap/hour.

B. r = 24h

Step-by-step explanation:

Let r be the number laps.

Let h be the time.

From the question given above, the number of laps (r) Jessica runs around the track is proportional to the time (h) she spend running. This can be written as:

r & h

r = Kh

Where:

r is the number of laps.

K is the constant of proportionality.

h is the time.

A. Determination of the constant of proportionality.

With the above formula, we can calculate the value of the constant of proportionality, K as follow:

Number of laps (r) = 12 laps

Time (h) = ½ hour

Constant of proportionality (K) =.?

r = Kh

12 = K × ½

12 = K/2

Cross multiply

K = 12 × 2

K = 24 lap/hour

Therefore, constant of proportionality is

24 lap/hour.

B. Equation for relationship between the number of lap and time. This is illustrated below:

r = Kh

K = 24

r = 24h

Therefore, the equation for relationship between the number of lap and time is r = 24h

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2 years ago

How is 8% sales tax like an 8% increase? explain.

olganol [36]

Because tax is an additional charge to the original amount therefor it is simply an increase

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2 years ago

Look closely at the character of Alice in the film and the play versions of Alice’s Adventures in Wonderland. Does the character

Tems11 [23]

Answer:

In the movie, Tweedledee and Tweedledum and the talking flowers are incorporated into the original plot from Alice's Adventures in Wonderland. In the book, Alice eats little cakes in the White Rabbit's house to become smaller. In the movie, Alice eats carrots from The White Rabbit's garden to become smaller.

Step-by-step explanation:

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2 years ago

Which statements are true? Check all that apply.

Dvinal [7]

Answer:

3is the answer because t

s apply

Step-by-step explanation:

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