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Citrus2011 [14]
3 years ago
5

What is the answer to this

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
7 0
(3x²y⁴)⁴ / 9x²(y³)⁴

Simplify the numerators first.

3x⁶y⁸ / 9x²y7

Now, divide the two together, and cross out the exponents as you simplify them. 

Now, divide 3 from 9, and get 3. Then, divide x⁶ from x² and get x⁴. Finally, you divide y⁸ from y⁷ and get y.

Put those all together :

1x⁴y / 3

Simplify.

\frac{ x^{4} {y}}{3}

~Hope I helped!~


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Glenn spends 105 minutes exercising every day. He spends 3 fifths of the time running. How much time dose Glenn spend running?
lozanna [386]

Answer: 63 mins

Step-by-step explanation:

105(\frac{3}{5})=63

7 0
3 years ago
A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in day
-BARSIC- [3]

Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

A(t) = A(0)e^{-kt}

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

A(t) = A(0)e^{-0.1392t}

Find the substance's half life, in days.

This is t for which A(t) = 0.5A(0). So

A(t) = A(0)e^{-0.1392t}

0.5A(0) = A(0)e^{-0.1392t}

e^{-0.1392t} = 0.5

\ln{e^{-0.1392t}} = \ln{0.5}

-0.1392t = \ln{0.5}

t = -\frac{\ln{0.5}}{0.1392}

t = 4.98

The substance half-life is of 4.98 days.

5 0
2 years ago
The sum of 4 consecutive even numbers is 36. What is the first number in this sequence?
sashaice [31]

Answer:

the first number in this sequence is 6....

Step-by-step explanation:

First number = x

2nd number = x+2

3rd consecutive even number = x+4

4th consecutive even number = x+6

Therefore,

By adding these numbers:

x+x+2+x+4+x+6= 36

Add the like terms:

4x+12=36

Combine the constants:

4x=36-12

4x=24

Divide both the terms by 4

4x/4 = 24/4

x= 6

Thus the first number in this sequence is 6....

7 0
3 years ago
Read 2 more answers
Which exponential expression is equal to 2−5·28
gizmo_the_mogwai [7]

Answer:

Impossible

Step-by-step explanation:

Solve the answer 2-5*28 = -138

This would have no answer since an exponential expression can't equal an negative unless it's a negative answer, but in this case, there is no answer that would get you -138.

3 0
3 years ago
Determain the equation, in slope intercept form, of the line of the line that has a slope of -6 and passes through the point P(-
Vinil7 [7]

Answer:

<h2>         y = -6x - 16</h2>

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -6

(-3, 2)    ⇒   x₀ = -3,  y₀ = 2

The point-slope form of the equation:

y - 2 = -6(x + 3)

So:

y - 2 = -6x - 18         {add 2 to both sides}

y = -6x - 16             ←  the slope-intercept form of the equation

5 0
3 years ago
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