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____ [38]
3 years ago
6

What is the quotient?

Mathematics
2 answers:
Zepler [3.9K]3 years ago
7 0

Answer:

= \dfrac{1}{5^{9}}

Step-by-step explanation:

When dividing values with exponents, we simply need to subtract the numerators exponent to the denominators exponent.

So we have:

\dfrac{5^{-6}}{5^{3} }

= 5^{-6 - 3}

= 5^{-9}

Now since we have a negative exponent, we can get the reciprocal of the value to make it positive.

= \dfrac{1}{5^{9}}

r-ruslan [8.4K]3 years ago
3 0

Answer:

The answer is 1 / 5^(9)

Step-by-step explanation:

We just need to divide both numbers and find the result

(5)^-6 / (5)^3

(5)^(-6-(3)) =

(5)^(-9) =

1 / 5^(9) = 5,120 .10^(-7)

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A car travels 64 miles per hour how long does it take to travel 368 miles
Viefleur [7K]
It would take the car about 6 hours. 368 divided by 64, which equals 5.75, if rounded, would be 6.
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3 years ago
MATH HELP 100 POINTS PLEASE
gogolik [260]

Answer:

Step-by-step explanation:

solid line means >=

y >= x+1

dotted line mean >

y > -x-2

combining

the system of inequalities is y >= x+1 and y > -x-2

3 0
3 years ago
Read 2 more answers
Help me with this please
Reika [66]

Answer:

$2,459.21

Step-by-step explanation:

(see attached for reference)

recall that the formula for compound interest is:

A = P [ 1 + (r/n)^ (nt) ]

where,

A = Final amount ( we are asked to find this)

P = principal amount = given as $2,340

r = Annual Interest Rate = given as 5% = 0.05

n = number of times compounded in a year = 4 (compounded quarterly)

t= time = 1 year

Substituting the values into the equation,

A = P [ 1 + (r/n)^ (nt) ]

A = 2,340 [ 1 + (0.05/4)^ (4·1) ]

A = $2,459.21

6 0
3 years ago
If f(x) is an exponential function where f(-1.5) 26 and
mariarad [96]

Answer:

f(10) = 1147.25

Step-by-step explanation:

Given

f(-1.5) = 26

f(5.5) = 7

Required

f(10)

An exponential function is represented as:

f(x) = ab^x

f(-1.5) = 26 impleies that:

26 = ab^{-1.5} --- (1)

f(5.5) = 7 implies that

7 = ab^{5.5} --- (2)

Divide (2) by (1)

26/7 = ab^{-1.5}/ab^{5.5}

3.71429 = b^{-1.5+5.5}

3.71429 = b^{4}

Take 4th root

b = 1.39

Substitute b = 1.39 in 26 = ab^{-1.5}

26 = a * 1.39^{-1.5}

26 = a * 0.6102

Solve for (a)

a = 26/0.6102

a = 42.61

f(10) is calculated as:

f(10) = ab^{10}

f(10) = 42.61 * 1.39^{10}

f(10) = 1147.25

3 0
2 years ago
Help much appreciated ):
sweet-ann [11.9K]

Answer

Step-by-step explanation:

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7 0
2 years ago
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