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azamat
2 years ago
6

Aya and Mary are 12 miles apart on a path when they start moving toward each other.

Mathematics
1 answer:
Ostrovityanka [42]2 years ago
5 0

Answer:

1.5 hours

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Aya and Mary distance = 12 miles

Let, meeting point from Aya = Z miles

So, Aya covers Z miles to reach Mary.

Hence, Mary covers (12 - Z ) miles to reach Aya

Here, Time = \frac{Distance}{Speed}

Aya = \frac{Z}{5}

Mary = \frac{12-Z}{3}

If, same time taken, then we can solve by following method,

\frac{Z}{5} = \frac{12-Z}{3}

By solving the equation, we get

Z = 60 ÷ 8

Or Z = 7.5 miles

Hence, time taken for both to meet = 7.5 ÷ 5

= 1.5 hours

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Answer:

(a)

5^{-3}=\frac{1}{125}

(b)

-5^{-3}=-\frac{1}{125}

(c)

(-5^{-3})^{-1}=-125

(d)

(-5^{-3})^{0}=1

Step-by-step explanation:

(a)

5^{-3}

we can use property of exponent

a^{-n}=\frac{1}{a^n}

we get

5^{-3}=\frac{1}{5^3}

5^{-3}=\frac{1}{5\times 5\times 5}

5^{-3}=\frac{1}{125}........Answer

(b)

-5^{-3}

we can use property of exponent

a^{-n}=\frac{1}{a^n}

we get

-5^{-3}=-\frac{1}{5^3}

-5^{-3}=-\frac{1}{5\times 5\times 5}

-5^{-3}=-\frac{1}{125}........Answer

(c)

(-5^{-3})^{-1}

we can use property of exponent

(a^{n})^m=a^{m\times n}

we get

(-5^{-3})^{-1}=(-5)^{-3\times -1}

(-5^{-3})^{-1}=(-5)^3

(-5^{-3})^{-1}=(-5)\times (-5)\times (-5)

(-5^{-3})^{-1}=-125........Answer

(d)

(-5^{-3})^{0}

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we get

(-5^{-3})^{0}=(-5)^{-3\times 0}

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4 0
3 years ago
A culture started with 6,000 bacteria. After 5 hours, it grew to 7,800 bacteria. Predict how many bacteria will be present after
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Answer:

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After 1 hours, the amount of bacteria increased: 1800/5=360

After 18 hours,  the amount of bacteria increased: 360*18 = 6480

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4 0
3 years ago
On a coordinate plane, a curved line crosses the y-axis at (0, 1), crosses the x-axis at (.25, 0), turns at point (2, negative 3
Artyom0805 [142]

Answer:

All real numbers greater than or equal to -3

Step-by-step explanation:

we know that

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The x-intercepts are the points (0.25,0) and (3.75,0)

so

The domain is the interval -----> (-∞,∞)

All real numbers

The range is the interval ----> [-3,∞)

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6 0
2 years ago
Read 2 more answers
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Tju [1.3M]
Ok so do 100 divided by 77 to get about 1.3% per fruit. then do 1.3 times 53 to get the current percent of oranges which is about 69% then do 84% minus 69% to get the difference then divide by 1.3 to get about 11.5 oranges so you round to 12 oranges. So 12+53 to get 65 total oranges to equal 84% of the 77 fruit in the box.
6 0
3 years ago
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