A radioactive material has a half-life of 1 day. The material decays according to the equation M = 1000(1/2)^t. Mass M is measured in grams and time t is measured in days.

a) What is the mass of the sample after 1 day? 2 days? 10 days?
b) Use a calculator with an exponent key to compute the mass of the
sample after 1 year. Explain what the answer means.

I literally have no idea how to do this

A Radioactive Material Has A Half-life Of 1 Day. The Material Decays According To The Equation M = 1000(1/2)^t.

Answers

Answer 1

Answer:

A) 1 day=500, 2 day=250, 10 days=0.9765

B) 1 year=365 days, 1000*(1/2)^(365)=1.33*(10)^(-107)


Related Questions

Whats his mistake and the correct awnser

Answers

Answer:

θ ≈ 35.7°

Step-by-step explanation:

His mistake was in using the wrong trig. ratio

Instead of using cosine he should have used the sine ratio

sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{12}[/tex] , then

θ = [tex]sin^{-1}[/tex] ([tex]\frac{7}{12}[/tex] ) ≈ 35.7° ( to the nearest tenth )

In circle G with m<FJH=31° , Find the angle measure of minor arc FH​

Answers

Answer:

62°

Step-by-step explanation:

Inscribed Angle Theorem

Inscribed angles measures are 1/2 of the arc they create.

m∠FJH x 2 = arc FH

Just take the 31° and double it.

Use properties of logarithms to prove :

Answers

Answer:

Step-by-step explanation:

[tex]log_8(1000) = log_2(1000)/log_2(8) = log_2(1000)/3[/tex]

[tex](1/3)log_2(1000) = log_2(1000^{(1/3)}) = log_2 10[/tex]

Choose the correct simplification of the expression b5 ⋅ b4.

b
b9
b20
b−1

Answers

Answer:

b20

Step-by-step explanation:

When a boy stands on the bank of a river and looks across to the other bank, the angle of depression is 12°. If he climbs to the top of a 10 ft tree and looks across to other bank, the angle of depression is 15°. What is the distance from the first position of the boy to the other bank of the river? How wide is the river? Give your answers to the nearest foot.

Answers

Please look at the scanned picture.

Determine the measure of segment QV

Answers

Answer:

QV = 4x-1

Step-by-step explanation:

1) segments RS and RQ are equivalent

2) segments SV and QV meet at the same point, and start from opposite sides of segment SQ

so the length of QV would be equal to the length of SV.

pls answer fast i need help

Answers

Do it by your self  ok ???

Explain why 51 is not a prime number​

Answers

Step-by-step explanation:

51 is not a prime number because it is divisible by 1,3 and 17

and we know prime number are only those number who arenot divisible by any other number except 1

Answer:

57 is divisible by 1,3,19 and 57

Step-by-step explanation:

A prime number is a number that is divisible only by 1 and itself; and 57 is not among the numbers like 2,3,5,7,11 etc

find area of shaded region by using formula a^2-b^2.​

Answers

Answer:

216 cm^2

Step-by-step explanation:

15^2 -3^2 = 225 -9

= 216

In ΔFKR, which side is included between ∠F and ∠R?

Answers

Answer:

First choice

Step-by-step explanation:

It gives you the endpoints of the included side, F and R. Therefore, the side is FR or RF.

Please hurry I will mark you brainliest

What is the slope of this?

Answers

Answer:

4/3

Step-by-step explanation:

Using the given points

(0,-2) and (3,2)

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = ( 2- -2)/(3-0)

   = (2+2)/(3-0)

   =(4/3

Meghan and her sister are going ice skating. It costs $7.25 per person plus $4 for each person's skate rental. Meghan has her own ice skates. But her sister needs to rent them. Meghan gives the cashier $20 for their admission and her sister's skate rental. How much change should she receive?

Answers

Answer:

the total amount of change she should receive is $1.50

Step-by-step explanation:

$7.25+$7.25= $14.50

$20.00-$14.50=$5.50

$5.50-$4.00= $1.50

PLZZ HELPPPP !!!!!!!!

Answers

Answer:

m>3

Step-by-step explanation:

2m >6

Divide by 2

2m/2 > 6/2

m >3

Answer:

m>3

Step-by-step explanation:

N is the centroid of the triangle. Find XN if XG = 33

Answers

Answer:

XN = 22

Step-by-step explanation:

Recall: the Centroid theorem states that the Centroid of a triangle is ⅔ of the distance any vertex of the triangle to the midpoint of the side opposite to it.

This implies that:

XN = ⅔(XG)

XG = 33

Substitute

XN = ⅔(33)

XN = 2*11

XN = 22

Part B
Question
Type the correct answer in the box.
The y-intercept of the parent function, f(x), is
I
The y-intercept of the child function, g(x), is

Answers

Answer:

The y-intercept of the parent function, f(x), is 0

The y-intercept of the child function, g(x), is  7

Step-by-step explanation:

Since the parent function passes through the origin, its y-intercept is 0. Once the function is translated 7 units up, its y-intercept is 7.

The solution is :

Vertex is (-2, 0)

y-intercept is 4.

What is vertex?

In geometry, a vertex is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices.

here, we have,

to find the function translated 2 units left, we just need to substitute the 'x' in the equation by 'x+2':

f(x) = (x+2)^2 = x2 + 4x + 4

Then, to find the vertex, we can use the formula:

x_v = -b / 2a

x_v = -4 / 2 = -2

Now, finding the y_vertex, we have:

f(x_v) = (-2)^2 + 4*(-2) + 4 = 0

So the vertex is (-2, 0)

To find the y-intercept, we make x = 0 and then find f(x):

f(0) = 0 + 0 + 4 = 4

So the y-intercept is 4.

To learn more on vertex click:

brainly.com/question/12563262

#SPJ2

complete question:

Identify the vertex and y-intercept of the graph of the function translated 2 units left from the parent function f(x) = x².

vertex: ( ? , ? )

y-intercept: ?

Which of the following has no solution?

A. {x | x ≤ 0} or {x | x ≥ 0}
B. {x | x < 0} and {x | x > 0}
C. {x | x ≤ 0} and {x | x ≥ 0}

Answers

The answer to your question is a

Algebra is hard for me

Answers

Answer: Third Choice. 9

Step-by-step explanation:

Concept:

Here, we need to understand the idea of evaluation.    

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given

4x + 2y -1

x = 3, y = -1

Substitute the value of x and y

4(3) + 2(-1) - 1

Simplify by multiplication

12 - 2 - 1

Simplify by subtraction

9

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

Hello!

4x= 4*3 = 12

2y = 2*-1 = -2

12-2  -1= 9

find the value of x

Answers

4x - 7 = 3x + 9

x = 16

they're equal because they are opposites by the vertex.

hope it helps :)

HELP?h?e?l?pppppppppppppppppppppp

Answers

Answer:

Yes

Step-by-step explanation:

Anyone know the answer?

Answers

Answer:

A. Centroid

Step-by-step explanation:

The centroid of a triangle is the point where the three medians coincide.

Here,

The three medians coincide at point Z so it's the centroid

What is the length of side s of the square shown below? 450 90" A. 4-3 B. 1 C. 4 D. 2 E F. 2.5​

Answers

Answer:

E

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

s² + s² = 2²

2s² = 4 ( divide both sides by 2 )

s² = 2 ( take the square root of both sides )

s = [tex]\sqrt{2}[/tex]

Answer:

E.

Step-by-step explanation:

we know the diagonal of the square : 2

as you can see in the picture, there is a right-angled triangle with the baseline of Hypotenuse being the diagonal, and 2 times s being the 2 sides.

that means we can use Pythagoras to calculate s :

2² = s² + s²

4 = 2s²

2 = s²

s = sqrt(2)

Explain how to estimate the quotient using compatible numbers. 27 and two-thirds divided by 3 and StartFraction 9 over 10

Answers

Answer:

Step-by-step explanation:

Given:

27 + 2/3 ÷ 3 + 9/10

In division, compatible numbers are numbers that can be divided mentally.

27 + 2/3 ÷ 3 + 9/10

27 + 0.67 ÷ 3 + 0.9

27.67 ÷ 3.9

= 7.0948717948717

Approximately

= 7

But, alternatively

27.67 ÷ 3.9

27.67 is closer to 28

3.9 is closer to 4

Therefore,

28 ÷ 4

= 7

The quotient of 27 + 2/3 ÷ 3 + 9/10 using compatible numbers is around 7

Answer:

The first fraction is between 27 and 28, closer to 28. The second fraction is between 3 and 4, closer to 4. Compatible numbers in division are numbers that can be divided mentally. 28 divided by 4 is 7. The quotient will be around 7.

Step-by-step explanation:

Fine FG , given that line HF is perpendicular bisector or EG

Answers

Answer:

FG = 7

Step-by-step explanation:

We'll begin by calculating HF. This can be obtained by using the pythagoras theory as illustrated below:

EF = 7

EH = 3

HF =?

EF² = EH² + HF²

7² = 3² + HF²

49 = 9 + HF²

Collect like terms

49 – 9 = HF²

40 = HF²

Take the square root of both side

HF = √40

Finally, we shall determine FG. This can be obtained as follow:

GH = 3

HF = √40

FG =.?

FG² = GH² + HF²

FG² = 3² + (√40)²

FG² = 9 + 40

FG² = 49

Take the square root of both side

FG = √49

FG = 7

4 1/4 inches long + 2 1/2 inches wide

Answers

Answer:

6 3/4

Step-by-step explanation:

4 1/4 + 2 1/2

Since they have different Common Denominators, we’ll have to find the LCM for 4 and 2

4: 4, 8, 12, 16…

2, 2, 4, 6, 8…

The LCM would be 4

Now convert 2 1/2 into a denominator of 4

2 1/2 = 2 2/4

Whatever number you multiplied to get 4 is the same number that will get multiplied to find the numerator

Then we’re ready to add! (4 1/4 + 2 2/4)

4 1/4 + 2 2/4 = 6 3/4

Final Answer: 6 3/4

Which of the integers shown is the greatest?

Answers

Answer:

-3

Step-by-step explanation:

because as you vo more to the negative side the less.it gets and more to the positive side it gets moe

Please help!! Thank you!

Answers

Answer:

[tex]\text{As }x\rightarrow \infty, f(x)\rightarrow -\infty,\\\text{As }x\rightarrow -\infty, f(x)\rightarrow -\infty[/tex]

Step-by-step explanation:

This question is asking for the function's end behavior. An even degree power function with a negative leading coefficient forms a parabola concave down. This means, its vertex represents the maximum and the parabola opens downward (towards negative infinity).

Thus,

[tex]\lim_{x\rightarrow \infty}f(x)=-\infty,\\\lim_{x\rightarrow-\infty}f(x)=-\infty[/tex]

This corresponds with the first answer choice listed:

[tex]\text{As }x\rightarrow \infty, f(x)\rightarrow -\infty,\\\text{As }x\rightarrow -\infty, f(x)\rightarrow -\infty[/tex]


Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
If x+2 is a factor of x^3-6x^2-11x+k then k=

Answers

Answer:

k=10

Step-by-step explanation:

Brainliest please~

Answer:

K=10

Step-by-step explanation:

Correct on Plato

A factory uses 1/6 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1/2 of a barrel of raisins. How many batches of granola bars did the factory make yesterday?

Answers

1/6 = 1 batch, 2/6 = 2 batches and so on

if the factory used 1/2, the factory used 3/6 of a barrel, which equals to 3 batches.

hope it helps :)

Kylie baked 40 cookies. She brought 90% of the cookies to work. How many cookies did Kylie bring to work?

Percentage plz help

Answers

40 percent of the cookies can be shown with the equation 40x .90, this makes 36, so Kylie bring in 36 cookies.

If you having trouble with percentages I recommend using Khan Academy. It’s an website that’s free with short videos about everything you can imagine, they aren’t long and have practice sheets you can do. Percentages can be very important in higher math so recommend taking like 5 min and checking a video.

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

No idea how to do

[tex]\frac{4r + 20}{r + 5}[/tex]

when r ≠ 5 ?

Answers

Factorize the numerator:

4r + 20 = 4r + 4×5 = 4 (r + 5)

I think you meant to say r ≠ -5, which means r + 5 ≠ 0, so that the denominator is never zero and so the expression is defined (no division by zero). This lets you cancel the factor of r + 5 in the numerator with the one in the denominator:

(4r + 20)/(r + 5) = 4 (r + 5)/(r + 5) = 4

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