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3 years ago

5

8 hundredths times 10

1 answer:

nexus9112 [7]3 years ago

5 0

The correct answer is 0.8

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A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has decayed to 32 grams. Rounding to

s2008m [1.1K]

Answer:

Part 1 : $A=250 e^{-0.008223t}$

Part 2 : Half life is 84 minutes ( approx )

Step-by-step explanation:

Part 1 : Suppose the function that shows the amount( in grams ) of the substance after t minutes,

$A=A_0 e^{kt}$

If t = 0 min, A = 250 grams,

$250=A_0 e^{0}$

$\implies A_0 = 250$

If t = 250, A = 32 grams,

$32 = A_0 e^{250k}$

$32 = 250 e^{250k}$

$0.128 = e^{250k}$

Taking ln both sides,

$\ln(0.128) = 250k$

$\implies k =\frac{\ln(0.128)}{250}=-0.008223$

Hence, the equation that shows this situation,

$A=250 e^{-0.008223t}$

Part 2 : If A = 250/2 = 125,

$125 = 250 e^{-0.008223t}$

$0.5 = e^{-0.008223t}$

Taking ln both sides,

$\ln(0.5) = -0.008223t$

$\implies t =\frac{\ln(0.5)}{-0.008223}\approx 84$

Therefore, the half life of the substance would be 84 minutes.

8 0

3 years ago

1. Iris has two ribbons. The first ribbon is 11.7 in. long. The second ribbon is 5.25 in. long. She wants to cut them so that th

lisov135 [29]

The estimated lengths are 12in. and 5 in. This would be an estimated difference of 7in.

The estimated difference is going to be higher than the actual difference because in rounding 11.7 to 12, you are losing .30in, but in rounding down 5.25 to 5, you are actually gaining .75in.

The ACTUAL difference is 6.45in

3 0

2 years ago

Find the minimum or maximum value of the function. What is the H? (Desmos)

beks73 [17]

Answer:

Minimum: (2,4)

Step-by-step explanation:

h(x)=3( $x^{2}$ -4x)+16

=3( $x^{2}$ -4x+4-4)+16 (- For the balance of equation, and attention 1)

=3 $(x-2)^{2}$ -3*4+16

=3 $(x-2)^{2}$ +4

<h3>Attention:</h3>

1. $(a-b)^{2}=a^{2} -2ab+b^{2}$

2. The formula for the vertex form is y = $a(x-h)^{2}+k$ , the vertex is (h,k)

4 0

2 years ago

An auto shop charges a customer an equal amount for each new tire purchased plus an additional fee for an oil change.

Nitella [24]

The cost per unit of the auto shop function is the slope of the function

87 represents the slope and the cost per tire purchased

The function is given as:

$\mathbf{C(t) = 87t + 32}$

A linear function is represented as:

$\mathbf{C(t) = mt + b}$

Where:

m represents the slope or the unit rate.

So, by comparison:

$\mathbf{m = 87}$

This means that 87 represents the slope and the cost per tire purchased

Read more about slopes at:

brainly.com/question/18576224

6 0

2 years ago

Click on the area of the squarWhich equation would be used to represent the word problem below?

gogolik [260]

Answer:5.50x + 9 = 2.50x

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers