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4 years ago

Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents.

Mathematics

2 answers:

VashaNatasha [74]4 years ago

4 0

Answer:

3^1/6

I believe this would be correct hope this helps.

-Que

Nikitich [7]4 years ago

4 0

Answer:

$\frac{3^{\frac{1}{3} } }{3^{\frac{1}{6} }}$

Step-by-step explanation:

Three to the one third power all over three to the one sixth power.

One third is 1/3 and one sixth is 1/6. All over means divided by. The expression before the words "all over" are numerator and the expression after "all over" are denominator.

This becomes:;

$\frac{3^{\frac{1}{3} } }{3^{\frac{1}{6} }}$

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Need help on this problem

faust18 [17]

Using an exponential function, it is found that:

For Country A, the doubling time is of 43 years.

For Country B, the growth rate is of 1.9% per year.

<h3>What is the exponential function for population growth?</h3>

The exponential function for population growth is given as follows:

$P(t) = P(0)e^{kt}$

In which:

P(t) is the population after t years.

P(0) is the initial population.

k is the exponential growth rate, as a decimal.

t is the time in years.

For Country A, we have that k = 0.016. The doubling time is t for which P(t) = 2P(0), hence:

$P(t) = P(0)e^{kt}$

$2P(0) = P(0)e^{0.016t}$

$e^{0.016t} = 2$

$\ln{e^{0.016t}} = \ln{2}$

$0.016t = \ln{2}$

$t = \frac{\ln{2}}{0.016}$

t = 43 years.

For Country B, P(36) = 2P(0), hence we have to solve for k to find the growth rate.

$P(t) = P(0)e^{kt}$

$2P(0) = P(0)e^{36k}$

$e^{36k} = 2$

$\ln{e^{36k}} = \ln{2}$

$36k = \ln{2}$

$k = \frac{\ln{2}}{36}$

k = 0.019.

For Country B, the growth rate is of 1.9% per year.

More can be learned about exponential functions at brainly.com/question/25537936

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3 0

2 years ago

Find angle x and y. Please show step by step process.

lora16 [44]

Answer:

x = 60, y = 25

Step-by-step explanation:

Δ ABC has 3 congruent sides and is equiangular, thus

the 3 angles are congruent, all 60°

x = 60

∠ ABC and ∠ CBD are adjacent and supplementary, sum to 180° , then

∠ CBD = 180° - 60° = 120°, so

y = 180 - (120 + 35) = 180 - 155 ← sum of angles in triangle

y = 25

4 0

4 years ago

The length of a rectangle is 4 cm more than the width. The are is 96 cm squared. Find the dimensions of the rectangle.

lozanna [386]

width = w

length = w+4

Area = l*w

substitute

96 = (w+4) *w

distribute

96 = w^2 +4w

subtract 96 from both sides

0 = w^2 +4w -96

factor

0=(w+12) (w-8)

w+12=0 w-8=0

w=-12 w=8

cannot have negative width

w=8

l=12

Answer: width =8 cm

length = 12cm

3 0

4 years ago

Fhghgggnghnghrrrrnhnhx

vichka [17]

Answer:

whatcha tryna accomplish here bud....

6 0

3 years ago

14.What is the solution of the system?

Archy [21]

Answer:

14. x=-2.5, y = -7

15. x=28 y = -20

Step-by-step explanation:

14. Let's solve this system by elimination. Multiply the first equation by -1.

-1*(4x-y)= -1*(- 3)

-4x +y = 3

Then add this to the second equation.

-4x+y = 3

6x-y= - 8

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

2x = -5

Divide each side by 2

x = -2.5

We still need to find y

-4x+y =3

-4(-2.5) + y =3

10 +y =3

Subtract 10 from each side.

y = 3-10

y = -7

15.I will again use elimination to solve this system, because using substitution will give me fractions which are harder to work with. I will elimiate the y variable. Multiply the first equation by 11

11( 5x+6y)= 11*20

55x+66y = 220

Multiply the second equation by -6

-6(9x+11y)=32*(-6)

-54x-66y = -192

Add the modified equations together.

55x+66y = 220

-54x-66y = -192

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

x = 28

We still need to solve for y

5x+6y = 20

5*28 + 6y =20

140 + 6y = 20

Subtract 140 from each side

6y = -120

Divide by 6

y = -20

3 0

3 years ago