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2 years ago

10

A farming community begins with one resident. Then every year, the number of residents multiplies by 10. Write an expression usi

ng an exponent to represent the number of residents in the community after 5 years.

1 answer:

yan [13]2 years ago

7 0

Answer:

$1*10^5$

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2 years ago

The elephants at the zoo eat 3 2/3 buckets of bananas each day. The zookeeper bought 7 1/3 buckets of bananas. How many days wil

uranmaximum [27]

Answer: 2 days

Step-by-step explanation:

The monkeys eat 3 ²/₃ buckets of bananas each day. Convert this to an improper fraction:

= 3²/₃ = 11/3 buckets per day

The zookeeper bought 7¹/₃ which is:

= 22/3 buckets

To find out the number of days the bananas will last, divide the buckets bought by the buckets eaten per day:

= 22/3 ÷ 11/3

= 22/3 * 3/11

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<em>If dividing fractions, multiply by the reciprocal of the second fraction. </em>

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2 years ago

Let the region R be the area enclosed by the function f(x)=ln(x) and g(x)= 1/2x-2. Find the volume of the solid generated when t

Neporo4naja [7]

Answer:

$V=61.66$

Step-by-step explanation:

This problem can be solved by using the expression for the Volume of a solid with the washer method

$V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx$

where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).

Before we have to compute the limits of the integral. We can do that by taking f=g, that is

$f(x)=g(x)\\ln(x)=\frac{1}{2}x-2$

there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)

x1=0.14

x2=8.21

and because the revolution is around y=-5 we have

$R=ln(x)-(-5)\\r=\frac{1}{2}x-2-(-5)\\$

and by replacing in the integral we have

$V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\$

$V=\pi [28x+\frac{1}{x}+xln^2x-12xlnx-6lnx]$

and by evaluating in the limits we have

$V=61.66$

Hope this helps

regards

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2 years ago

What is the midpoint of the line segment (-6,3) (-10,7)

Maurinko [17]

Answer:

(-8,5)

Step-by-step explanation:

its what comes in between the two

7 0

2 years ago

Read 2 more answers

Simplify 4x+5/6x^2-x-12 subtract 5x/6x^2-x-12

neonofarm [45]

<span>4x+5/6x^2-x-12 - (5x/6x^2-x-12)
= (4x + 5 - 5x)/(</span>6x^2-x-12)
= (-x + 5) / (2x - 3)(3x +4)
<span>
answer

-x + 5
---------------------
</span> (2x - 3)(3x +4)

7 0

2 years ago