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ankoles [38]
3 years ago
11

Simplify (3^-2/3•3^1/3)^-1 using rational exponents

Mathematics
1 answer:
vampirchik [111]3 years ago
3 0
The simplified answer to this equation would be 3
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Barrett works at an ice cream shop. The function f(x) represents the amount of money in dollars Barrett earns per gallon of ice
Paha777 [63]

Answer:

f(g(x))=6x^3} +4

Step-by-step explanation:

Given:

f(x)=2x^2+4\\\\g(x)=\sqrt{3x^3}

Required:

f(g(x))=?

Solution:

let f(g(x))=f(X), where X=g(x)

so f(X)=2X^2+4

put X=g(x)=\sqrt{3x^3}, we get

f(g(x))=2(\sqrt{3x^3} )^2+4

f(g(x))=2(\sqrt{3x^3} )^2+4\\\\f(g(x))=2({3x^3} )+4\\\\f(g(x))=6x^3} +4

5 0
3 years ago
Scientists modeled the intensity of the sun, I, as a function of the number of hours since 6:00 a.m., h, using the
MAVERICK [17]

The functions are illustrations of composite functions.

<em>The soil temperature at 2:00pm is 67</em>

The given parameters are:

\mathbf{I(h) =\frac{12h - h^2}{36}} ---- the function for sun intensity

\mathbf{T(I) =\sqrt{5000I}} -- the function for temperature

At 2:00pm, the value of h (number of hours) is:

\mathbf{h = 2:00pm - 6:00am}

\mathbf{h = 8}

Substitute 8 for h in \mathbf{I(h) =\frac{12h - h^2}{36}}, to calculate the sun intensity

\mathbf{I(8) =\frac{12 \times 8 - 8^2}{36}}

\mathbf{I(8) =\frac{32}{36}}

\mathbf{I(8) =\frac{8}{9}}

Substitute 8/9 for I in \mathbf{T(I) =\sqrt{5000I}}, to calculate the temperature of the soil

\mathbf{T(8/9) =\sqrt{5000 \times 8/9}}

\mathbf{T(8/9) =\sqrt{4444.44}}

\mathbf{T(8/9) =66.67}

Approximate

\mathbf{T(8/9) =67}

Hence, the soil temperature at 2:00pm is 67

Read more about composite functions at:

brainly.com/question/20379727

5 0
2 years ago
Find the probability of having 2,3, or 4 successes in five trials of a binomial experiment in which the probability of success i
Georgia [21]

Answer:

65.3%

Step-by-step explanation:

Binomial distribution PMF below (along with a description)

the probabilty of getting 2, 3, or 4 successes in 5 trials is just

p(2)+p(3)+p(4)

p(2)= 5C2*.4²*(1-.4)³ = .3456

p(3)= 5C3*.4³*(1-.4)²= .2304

p(4)= 5C4*.4⁴*(1-.4)=.0768

.3456+.2304+.0768= .6528

6 0
3 years ago
HELP BRAINLEST GUARANTEED
Liono4ka [1.6K]

Answer:

6% , 800$

Step-by-step explanation:

to answer the question we can use this proportion :

x : 100 = 30 : 500

x = (100*30)/500

x = 6%

for calculate the amount after 10 years we can use this formula

A = P(1+rt)

where P indicates the initial amount, r the rate (in decimal) and t the time of investment

A = 500(1 + 0,06 x 10) = 500(1 + 0,6) = 500(1,6) = 800 $

6 0
3 years ago
Suppose $1750 is put into an account that pays an annual rate of 4.5%
Yanka [14]

Answer:

The amount in the account after six years is $2,288.98

Step-by-step explanation:

In this question, we are asked to calculate the amount that will be in an account that has a principal that is compounded quarterly.

To calculate this amount, we use the formula below

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

Where P is the amount deposited which is $1,750

r is the rate which is 4.5% = 4.5/100 = 0.045

t is the number of years which is 6 years

n is the number of times per year, the interest is compounded which is 4(quarterly means every 3 months)

we plug these values into the equation

A = 1750( 1 + 0.045/4)^(4 * 6)

A = 1750( 1 + 0.01125)^24

A = 1750( 1.01125)^24

A = 2,288.98

The amount in the account after 6 years is $2,288.98

6 0
3 years ago
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