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3 years ago

15

Find the equation of the exponential function represented by the table below:

1 answer:

LuckyWell [14K]3 years ago

8 0

Y=2(2)^x.
Hope its a correct answer

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Robert is making 5 batches of lemonade. Each batch requires 2 1\3 quarts of water.

svetlana [45]

2 1/3 quarts per batch, and five batches, so you multiply 2 1/3 x 5.

2 1/3 = 7/3 and 5 x 7/3 = 35/3 which simplifies to 11 2/3, so D. is the answer.

If you would like a more detailed answer just ask.

4 0

3 years ago

A geographer found that the land area of Aruba is 75 square miles and the land area of Bermuda is 19 square miles. Based on thes

MakcuM [25]

The interpretation of<em> </em><em>x</em> in the equation 75•x + 19•y = T, used by the geographer, based on the land area of Aruba, 75 m², and Bermuda, 19 m², is the population in a square mile of Aruba

<h3>Which method can be used to find the interpretation of <em>x </em>in the equation?</h3>

The land area of Aruba = 75 m²

Land area of Bermuda = 19 m²

The total number of residents is given in the question by the equation;

75•x + 19•y = T

Therefore;

x = The number of people in a square mile in Aruba

y = The number of people in a square mile in Bermuda

Which gives;

The interpretation of the variable, <em>x </em>in the context is the population of Aruba per square mile.

Learn more about variables here:

brainly.com/question/11451813

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6 0

2 years ago

Y = one-third (x + 2)

tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

according to the question equation is

y=1/3*(x+2)

y=x+2/3

8 0

3 years ago

To factor the trinomial 12x² + 7x - 5, a student must find factors of _____________ that add up to _____________.

inessss [21]

Answer:

factors of -60 that add up to 7

Step-by-step explanation:

3 0

3 years ago

A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?

professor190 [17]

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let $x\cdot y = 18$ , we get an additional equation by implicit differentiation:

$x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (1)

From the first equation we find that:

$x = \frac{18}{y}$ (2)

By applying (2) in (1), we get the resulting expression:

$\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (3)

$y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}$

$\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}$

If we know that $y = 6$ and $\frac{dy}{dt} = 8$ , then the first derivative of x in time is:

$\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)$

$\frac{dx}{dt} = -4$

From (1) we determine the value of x at this instant:

$x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}$

$x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)$

$x = -6\cdot \left(\frac{-4}{8} \right)$

$x = 3$

The value of x at this instant is 3.

4 0

3 years ago