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2 years ago

Make an equivalent fraction with the denominator 10,100, or 1000

Mathematics

1 answer:

evablogger [386]2 years ago

5 0

10000/10,000. :) :) dh

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No, the answer is D) 45.2%

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2 years ago

Read 2 more answers

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

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3 years ago

Hello guys<br>can you tell me what does this ^ mean in math?

Aliun [14]

Answer:

It means there is an exponent

Step-by-step explanation:

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2 years ago

Help with both please. show work

oee [108]

Answer:

1. y = x + 7

Step-by-step explanation:

Find the slope

Choose two points and find the slope using rise/run

(1,8) (2,9)

9-8/2-1

1/1 = 1 = m (slope)

Find b using the slope and one point

m=1 (1,8)

8 = 1 (1) + b

8 = 1 + b

7 = b

Fill in m and b into y = mx + b

y = 1x + 7

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2 years ago

Tyler has earned money by helping out on a neighbor's farm and now wants to put his earnings in a savings account. He is a bit c

weeeeeb [17]

The awnser is $1800
1500*.04*5= 1800

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3 years ago

Make an equivalent fraction with the denominator 10,100, or 1000 ​

Make an equivalent fraction with the denominator 10,100, or 1000