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o-na [289]
4 years ago
12

My mom needs help it's negative exponets it's 5x^-3y^4)^-3 Please explain step by step my mom has the chest sheet

Mathematics
1 answer:
Rufina [12.5K]4 years ago
5 0

Answer:

x^9

----------------

125 y^12

Step-by-step explanation:

(5x^-3 y^4)^-3

We know that (ab)^c can be split into a^  * b^c

5^-3  *x^-3 ^-3*  y^4 ^-3

We also know that a^b^c  = a^ (b*c)

5^-3  *x^(-3 *-3)  *  y^(4 *-3)

5^-3  *x^(9)  *  y^(-12)

We know that negative exponents in the numerator move it to the denominator.  The exponent stays the same except for the negative.

1/5^3  * x^9   * 1/ y^12

We know that 5^3 = 125

Rearranging the order

x^9

----------------

125 y^12

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Newton’s law of cooling states that the temperature of an object changes at a rate proportionalto the difference between the tem
Verizon [17]

Answer:

\frac{dT}{dt} = -0.05\;min^{-1}  (T-70\ºF)

Step-by-step explanation:

Hi!

Lets call:

T = temprature of the object

T₀ = temperature of surroundings

t = time

The rate of change of T is its derivative with respecto to time. If T > T₀, the object looses heat, so T decreases. Then, being k > 0:

\frac{dT}{dt} = -k(T-T_0) \\

In this case T₀ = 70ºF and k = 0.05/min. Then the differential equation is:

\frac{dT}{dt} = -0.05\;min^{-1}  (T-70\ºF)

3 0
4 years ago
mrs paints yearly salary is $42,000 and increases $2,000 per year. mr paints yearly salary is $37,000 and increases $3,000 per y
den301095 [7]
It will take three years
8 0
3 years ago
What is 8 4/5 - 1 2/4
Alexus [3.1K]

Answer:

8 \frac{4}{5} - 1 \frac{2}{4} = 7 \frac{3}{10}

Step-by-step explanation:

Convert the mixed number to improper fractions, then find the LCD ( least common denominator ) and combine.

You can write your answer in -

Exact Form :

\frac{73}{10}

Decimal Form :

7.3

Hope this helps!

Davinia.

3 0
3 years ago
Astronomers treat the number of stars X in a given volume of space as Poisson random variable. The density of stars in the Milky
cupoosta [38]

Answer:

Explained below.

Step-by-step explanation:

The random variable <em>X</em> is defined as the number of stars in a given volume of space.

X\sim \text{Poisson}\ (\lambda=1)

The probability mass function of <em>X</em> is:

p_{X}(x)=\frac{e^{-\lambda}\lambda^{x}}{x!}

(7)

Compute the probability of exactly two stars in 16 cubic light-years as follows:

P(X=2)=\frac{e^{-1}\times 1^{2}}{2!}=\frac{e^{-1}}{2}=\frac{0.36788}{2}=0.18394\approx 0.184

(8)

Compute the probability of three or more stars in 16 cubic light-years as follows:

P(X\geq 3)=1-P(X

(9)

In 16 cubic light years there is only 1 star.

Then in 1 cubic light years there will be, (1/16) stars.

Then in 4 cubic light years there will be, 4 × (1/16) = (1/4) stars.

(10)

In 16 cubic light years there is only 1 star.

Then in 1 cubic light years there will be, (1/16) stars.

Then in <em>t</em> cubic light years there will be, [<em>t</em> × (1/16)] stars.

7 0
3 years ago
Alice evaluated the expression below but got an incorrect answer. 12• (0.25) • (-8) ÷ 1/3 • 53• (8) ÷ 1/3 • 524 • 1/3 • 58 • 540
MrMuchimi

12• (0.25) • (-8) ÷ 1/3 • 5

3• (8) ÷ 1/3 • 5

24 • 1/3 • 5

8 • 5

40

Until the second step is ok.

in the third step, she multiplied the 1/3 term instead if dividing it

24 ÷ 1/3 . 5

24 ÷ 5/3

72/5

5 0
1 year ago
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