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elena-14-01-66 [18.8K]

3 years ago

6

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 24 yds :32 yds

1 answer:

Yuki888 [10]3 years ago

6 0

The fraction is 3/4 simplest form

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krok68 [10]

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2.7, or 2 $\frac{7}{10}$ , or $\frac{27}{10}$

Step-by-step explanation:

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3 years ago

What expression represents"one third of the difference between fifteen and some number"?

DaniilM [7]

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4 years ago

The estimated number of organisms in a population after t days is shown in the table below. t days estimated number of organisms

Lelu [443]

Answer:

The function $n=591.68(1.2056)^t$ best models the situation.

Step-by-step explanation:

The values in the table do not lie over a straight line because their slope is not a constant; for example

$m_1=\frac{1250=860}{4-2} =195$

$m_2=\frac{1850-1250}{2}=275$

we see here that $m_1\neq m_2$ therefore a linear equation cannot represent this situation.

The values in the table are increasing exponentially , therefore the equation modeling the situation will be of the form:

$n=ab^t$

we take two points from the table for evaluating $a$ and $b$ namely points $(2,860)$ and $(4,1250)$

thus we have

(1). $860=ab^2$

(2). $1250=ab^4$

From equation (1) we solve for $a:$

$a=\frac{860}{b^2}$

and put this value into equation (2)

$1250 =\frac{860}{b^2}b^4$

$b^2=\frac{1250}{860}$

$\boxed{b=1.2056}$

with this value $b$ , we solve for $a$ in equation (1):

$860=a(1.2056)^2$

$a=\frac{860}{(1.2056)^2}$

$\boxed{a=591.68}$

Thus we have the equation

$\boxed{n=591.68(1.2056)^t}$

8 0

3 years ago

Read 2 more answers