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3 years ago

14

How do you convert a fraction to a decimal? Say,

="\frac{2}{5}" alt="\frac{2}{5}" align="absmiddle" class="latex-formula"> ?

1 answer:

gladu [14]3 years ago

8 0

Answer:

you divide the top number by the bottom number

Step-by-step explanation:

2/5 = 0.4

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We take a milk carton from the refrigerator and put it on the table at room temperature. We assume that the temperature of the c

Kisachek [45]

We can solve this problem using separation of variables.

Then apply the initial conditions

EXPLANATION

We were given the first order differential equation

$\frac{dT}{dt}=k(T-a)$

We now separate the time and the temperature variables as follows,

$\frac{dT}{T-a}=kdt$

Integrating both sides of the differential equation, we obtain;

$ln(T-a)=kt +c$

This natural logarithmic equation can be rewritten as;

$T-a=e^{kt +c}$

Applying the laws of exponents, we obtain,

$T-a=e^{kt}\times e^{c}$

$T-a=e^{c}e^{kt}$

We were given the initial conditions,

$T(0)=4$

Let us apply this condition to obtain;

$4-20=e^{c}e^{k(0)}$

$-16=e^{c}$

Now our equation, becomes

$T-a=-16e^{kt}$

or

$T=a-16e^{kt}$

When we substitute a=20,
we obtain,

$T=20-16e^{kt}$

b) We were also given that,

$T(5)=8$

Let us apply this condition again to find k.

$8=20-16e^{5k}$

This implied

$-12=-16e^{5k}$

$\frac{-12}{-16}=e^{5k}$

$\frac{3}{4}=e^{5k}$

We take logarithm to base e of both sides,

$ln(\frac{3}{4})=5k$

This implies that,

$\frac{ln(\frac{3}{4})}{5}=k$

$k=-0.2877$

After 15 minutes, the temperature will be,

$T=20-16e^{-0.2877\times 15}$

$T=20-0.21376$

$T=19.786$

After 15 minutes, the temperature is approximately 20°C

6 0

3 years ago

How would you measure a parking lot

tino4ka555 [31]

Answer:

The area?

Step-by-step explanation:

7 0

3 years ago

On a 1:5 scale drawing of a car one part is 8 inches how long will the actual car part be

lina2011 [118]

40, because if the ratio is 1:5 then we can times 8 by 5 to get 40 (I think :P)

5 0

3 years ago

Read 2 more answers

If 103* = 4, find 1009x-2.

nata0808 [166]

Answer:

if i understand,it will be -2018

Step-by-step explanation:

sorry

4 0

2 years ago

Help please, here is the direct question

Delvig [45]

Answer:

(a) $\frac{4}{9}$

(b) -6, 2

Step-by-step explanation:

Given: g(x) = x + 1

h(x) = (x + 6)(x - 2)

Therefore, $\frac{g(x)}{h(x)} = \frac{x + 1}{(x + 6)(x - 2)}$

(a) $\frac{g}{h}(3) = \frac{3 + 1}{(3 + 6)(3 - 2)}$

$\implies \frac{g}{h}(3) = \frac{4}{9 . 1} = \frac{4}{9}$

Therefore, g/h(3) = 4/9

(b) Values not in domain means we have to determine for which values of x the function becomes undefined.

This happens when the denominator becomes zero.

That means h(x) = 0

⇒ (x + 6)(x - 2) = 0

⇒ x = -6 or x = 2

Therefore, when x takes one or both of these values we can say that the function $\frac{g}{h}$ becomes undefined.

6 0

4 years ago