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3 years ago

Which equation describes this line?

Mathematics

1 answer:

Leokris [45]3 years ago

3 0

Answer:

its A

Step-by-step explanation:

I put it in demos calculator and it lines up

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Pls pls pls pls I will mark you Brainest.

GalinKa [24]

Answer:

1) 2

2) 3

3) 4

4) 5

Step-by-step explanation:

Plug in the c variables in the table into the equation to find w.

4 0

3 years ago

Suppose after 2500 years an initial amount of 1000 grams of a radioactive substance has decayed to 75 grams. What is the half-li

krok68 [10]

Answer:

The correct answer is:

Between 600 and 700 years (B)

Step-by-step explanation:

At a constant decay rate, the half-life of a radioactive substance is the time taken for the substance to decay to half of its original mass. The formula for radioactive exponential decay is given by:

$A(t) = A_0 e^{(kt)}\\where:\\A(t) = Amount\ left\ at\ time\ (t) = 75\ grams\\A_0 = initial\ amount = 1000\ grams\\k = decay\ constant\\t = time\ of\ decay = 2500\ years$

First, let us calculate the decay constant (k)

$75 = 1000 e^{(k2500)}\\dividing\ both\ sides\ by\ 1000\\0.075 = e^{(2500k)}\\taking\ natural\ logarithm\ of\ both\ sides\\In 0.075 = In (e^{2500k})\\In 0.075 = 2500k\\k = \frac{In0.075}{2500}\\ k = \frac{-2.5903}{2500} \\k = - 0.001036$

Next, let us calculate the half-life as follows:

$\frac{1}{2} A_0 = A_0 e^{(-0.001036t)}\\Dividing\ both\ sides\ by\ A_0\\ \frac{1}{2} = e^{-0.001036t}\\taking\ natural\ logarithm\ of\ both\ sides\\In(0.5) = In (e^{-0.001036t})\\-0.6931 = -0.001036t\\t = \frac{-0.6931}{-0.001036} \\t = 669.02 years\\\therefore t\frac{1}{2} \approx 669\ years$

Therefore the half-life is between 600 and 700 years

5 0

3 years ago

Andrea needs 4 kilograms of oranges. The scale below shows the weight of the oranges she has in her kitchen. Part A. About how m

juin [17]

We know that

<span>each space on the balance represents
1 kg/ 10 spaces----------> 0.10 kg
in the picture there are 14 spaces
so
14*0.1-------> 1.4 Kg
</span>
Part A) About how many kilograms of oranges does Andrea have? Round your answer to the nearest kilogram

Andrea has 1.4 kg of oranges------> to the nearest kilogram-----> 1 Kg

the answer is
1 kg

Part B) About how many more kilograms of oranges does Andrea need?
Andrea needs=(4 Kg-1.4 Kg)------> 2.6 Kg

the answer part B) is
2.6 Kg

8 0

3 years ago

Robert earned $194.70 at his job when he worked for 11 hours. How much money did he earn each hour?

Mademuasel [1]

Answer:

$17.70

Step-by-step explanation:

You take how much he made ($194.70) and divide by how many hours he worked (11) to get his hourly rateof $17.70.

7 0

3 years ago

Read 2 more answers

1½ hours is how much in seconds??