How long will it take a sample of radioactive substance to decay to half of its original amount, if it decays according to function A(t)=750e^ -.119t, where t is the time in years? Round your answer to the nearest hundredth year. T equals time???? I don't see the time anywhere! Can someone please help me figure this mess out?

Answers

Answer 1

Answer: This is the formula to find the amt. A of that radioactive substance after time t.

$A_t=750e^(0.119t)$

We want to find out low long it will take for A to become half of its original amount.
We don't know the original amount, and the substance is not decaying at a constant rate (but rather an exponential one) so we can't answer that question.

Is there any information you forgot to give? Double check yourself.

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A set of face cards contains 4 Jacks, 4 Queens, and 4 Kings. Carlie chooses a card from the set, records the type of card, and then replaces the card. She repeats this procedure a total of 60 times. Her results are shown in the table.How does the experimental probability of choosing a Queen compare with the theoretical probability of choosing a Queen?

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The experimental probability is 1/15 more than the theoretical probability.
The experimental probability is 4 more than the theoretical probability.

Answers

The experimental probability is 1/15 less than the theoretical probability.

Given

A set of face cards contains 4 Jacks, 4 Queens, and 4 Kings.

Carlie chooses a card from the set, records the type of card, and then replaces the card.

She repeats this procedure a total of 60 times. Her results are shown in the table.

What is experimental probability?

Theoretical probability describes how likely an event is to occur.

The theoretical probability of choosing a Queen is;

$\rm Theoretical\ probability= (Observed \ frequency)/(Probability \ of \ selecting \ Queen)\n\n Theoretical\ probability= (16)/(4)\n\n Theoretical\ probability= (4)/(1)$

What is experimental probability?

Experimental probability describes how frequently an event actually occurred in an experiment.

The experimental probability of choosing a Queen is;

$\rm Experimental \ probability = Relative \ frequency\n\nExperimental \ probability = (4)/(15)$

For comparing the theoretical and experimental probability of both equations.

$\rm =(Experimental \ probability)/(Theoretical \ probability)\n\n= ((4)/(15))/((4)/(1))\n\n= (4)/(15)* (1)/(4)\n\n= (1)/(15)$

Hence, the experimental probability is 1/15 less than the theoretical probability.

To know more about Experimentalprobability click the link given below.

brainly.com/question/3733849

Answer:

the answer is b

Cos3x+cosx=2cos2xcosx

Answers

$cos(3x)+cos(x)=2\cdot cos\left((3x+x)/(2)\right)\cdot cos\left((3x-x)/(2)\right)=2\cdot cos(2x)\cdot cos(x).$

Green eyes.

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Answers

Answer:

Step-by-step explanation:

m=y2-y1/x2-x1

(-2)-2=(-4)

3-7=(-4)

-4/-4=1

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A customer went to a garden shop and bought some potting soil for $11.50 and 9 shrubs. The total bill was $94.75. Write and solve an equation to find the price of each shrub.A. 9p + 11.5p = $94.75; p = $4.62

B. 9(p + $11.50) = $94.75; p = $5.00

C. 9p + $11.50 = $94.75; p = $11.75

D. 9p + $11.50 = $94.75; p = $9.25

Answers

Based on the data provided if the customer went to the shop and bought the potting soil and shrubs with the total bill of $94.75 and the potting soil alone is for $11.50. We can determine the price of the shrubs in total by deducting the 2 values. $94.75 - $11.50 = $83.25. Now that we have the total amount of the shrubs to get the amount of each shrub we then divide the total amount versus the number of shrubs which is 9, ergo $83.25/9 = 9.25 per shrub.

So the answer to this question is:

D. 9p + $11.50 = $94.75 p=$9.25

PLZ HELP! Simplify the radical expression. √64y^10h^5/16y^12h^3

Answers

Find the attachment for the detailed solution to this question;

The function g(x) = 2x2 – 28x + 3 written in vertex form is g(x) = 2(x – 7)2 – 95. Which is one of the transformations applied to the graph of f(x) = x2 to produce the graph of g(x) = 2x2 – 28x + 3?shifted up 3 units
shifted left 7 units
shifted right 7 units
shifted down 3 units

Answers

The function $g(x) = 2x^2 - 28x + 3$ written in vertex form is $g(x) = 2(x - 7)^2 - 95.$

You have to do such transformation to obtain the graph of the function g(x) from the graph of the function f(x) (the graph of f(x) is red on the diagram below):

1. translate graph of the function y=f(x) right 7 units to get graph of the function $f_1(x)=(x-7)^2$ (blue curve);

2. shrink twice in y-direction the graph of $f_1(x)$ to obtain the graph of the function $f_2(x)=2(x-7)^2$ (green curve);

3. translate graph of the function $f_2(x)$ down 95 units to get the graph of the function $y=g(x)=2(x-7)^2-95$ (orange curve).

From these steps the only possible choice of transformations is C - shifted right 7 units.

The vertex form tells us the answer. This is the general vertex form a parabola:
y = a(x-h)^2 + k

a indicates any stretching or shrinking
h indicates any shifting to the left (if h is positive) or the right (if h is negative)
k indicates any shifting up (if k is positive) or down (if k is negative)

Therefore, the transformation that apply is only
shifted right 7 units

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