Which statement is TRUE?

After 200 years, 9.84 grams of Cesium would remain.

Let N represent the amount of substance after t years

The half-life of a cesium is 30 years., hence, this can be represented by exponential function:

[tex]N(t)=ab^t[/tex]

where a is the initial value and b is the multiplier.

There were initially 1000g of the substance

a) The exponential model for this situation is:

[tex]N(t) =1000(\frac{1}{2} )^{\frac{1}{30} t}\\\\N(t) =1000(\frac{1}{2} )^{\frac{t}{30}[/tex]

b) After 200 years (t = 200), the amount of Cesium remaining is:

[tex]N(200)=1000(\frac{1}{2} )^\frac{200}{30} \\\\N(200) = 9.84g[/tex]

Hence after 200 years, 9.84 grams of Cesium would remain

Find out more at: https://brainly.com/question/24710827

Answer:

30.75

Step-by-step explanation:

Hope this helps!

Answer:

Your expression would be 150(11)=x

The answer to this expression would be 1,650. Producing the equation 150(11)= 1,650

Step-by-step explanation:

Your equation is 150(11)=x because; the hot air balloon owner charges $150 per ride. And there are 11 rides. So our equation is solely saying $150 charged per ride for 11 rides.

Let's solve this equation

150(11)= 1,650

So, we would multiply 150 by 11 to get 1,650.

And if your professor asks a statement for your equation you would say; The total income for the balloon owner that weekend is $1,650. $900 made on Saturday plus $750 made on Sunday.

, Hope this helps :)

Have a great day!!

For this sort of problem, you need to be familiar with prefixes.

So:

megabyte = [tex]1 *10^6[/tex] bytes

kilobyte = [tex]1*10^3[/tex] bytes

and a regular byte would just be [tex]1[/tex]

Now, you will need to do a conversion:

[tex]1megabyte*\frac{1*10^6bytes}{1megabyte}*\frac{1*10^{-3}kilobyte}{1byte}[/tex]

I'm going to explain this just in case, but we convert megabytes to regular bytes in the first half by using the information I gave you above. (In one megabyte, there are [tex]1*10^6[/tex] bytes!)

In the second fraction thought, remember one kilobyte is [tex]1*10^3[/tex] bytes. However, you usually only see one of each thing on the bottom of fractions, so you need to add a negative sign to the 3. (technically you could just do [tex]\frac{1kilobyte}{1*10^3bytes}[/tex], but I think it is more correct to do write it out how I did).

*** They do equal the same thing though! Do whichever way is easier for you!

Now, your answer should be:

[tex]10^3[/tex] kilobytes (1000 kilobytes)

Hope this helped!

Answer:

32%

Step-by-step explanation:

65x50÷100

plz make brain list

Answer:the answer Plane

Step-by-step explanation:

Answer:

Plane is the correct answer

Step-by-step explanation:

Answer:

1. 2:1

2. 1:2

3. 2:1:3

4. 11:4

5. 2:1

Answer:

Step-by-step explanation:

1) Apples :  Mangoes = 20 : 10  = 2 :1

2) Ponkans : Guavas = 15 : 30 = 1 : 2

3) Apples :  Mangoes : Guavas = 20 : 10 : 30: = 2 : 1 : 3

4) All  fruits = apples + mangoes + ponkans + guavas  = 20 + 10 + 15 + 30 = 75

All fruits : Apples = 75 : 20 = 15 : 4

4) apples + guavas = 20 + 30 = 40

Mangoes + Ponkans = 10 + 15 = 25

apples + guavas : mangoes + Ponkans = 40 : 25 = 8 : 5

Answer:

the answer is x = -1

so yea

Answer:

very easy first open the bracket and then Bodmas

Answer:

Part A. Mary has 2 3/4 cups of sugar to make cookies. The recipe requires 1/8 cup of sugar for one portion of cookies. How many portions of cookies can Mary make?

Part B.

 portions.

Part C. The quotient is 22 and this number represents the amount of portions of cookies that Mary can make.

Step-by-step explanation:

Answer:

Step-by-step explanation:

When you're asked to plot a point on a coordinate plane just remember that the coordinate given is of the form [tex](x,y)[/tex].

So, first, we need to plot 11 on the [tex]x[/tex]-axis (the line going left to right, horizontal) then plot 7 on the [tex]y[/tex]-axis (the vertical line)

So we first go 11 units to the right along the [tex]x[/tex]-axis then go up 7 units along the [tex]y[/tex]-axis.

Hope this helped.

Plot a point on a coordinate plane just remember that the coordinate given is of the form .  Follow this simple steps and the image given below.

For more details about graph plot click the link given below.

https://brainly.in/question/10164601

Answer: May 20th

Step-by-step explanation: Using basic math to decide that 3x5 is 15 and 5x3 is 15, you can see that after 5 diving lessons and 3 swimming lessons, Bridget will have both again in 15 days time.

Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

The distance between two points can be found using the Pythagorean Theorem [tex]a^{2} + b^{2} = c^{2}[/tex].

This is because, if you connected your two points with a line, that line could be defined as the hypotenuse of a right triangle. the base of that triange is the distance between the x coordinates ([tex]x_{2} -x_{1}[/tex]) and the height by the distance between the y coordinates ([tex]y_{2} - y_{1}[/tex]). Sine these are the sides of the right triangle, they are equal to a and b above (c is the hypotenuse that we are trying to find). So, we calculate the two distances above and get 3 and 1 (for x and y respectively). 3^2 + 1^ 2 =10. So the answer is square root 10.

Answer:

28 / 4 = -7.28 / 4 = -7.

Step-by-step explanation:

Your answer would be x < -5

Answer:

228.08433734939759036144578313253.....

Answer:

Sup bro your answer is 17

Answer:

y=56 deth twc rcrrkb scfd rzgwv3ex. ewc rs esz gbs Sbes hwje

Answer:

20

Step-by-step explanation:

You basically just plug in the numbers given for the variables and solve.

2(7)+3(2) = 14+6= 20

2(y + x + 14) = 14 + 2x  

2(y) + 2(x) + 2(14) = 14 + 2x

2y + 2x + 28 = 14 + 2x

2y + 2x - 2x = 14 - 28

2y = -14

2y / 2 = -14 / 2

y = -7

Answer:

I believe it's B

Step-by-step explanation:

True option is, B. AP+PM=AM.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, given that,  point P is between A and M,

Then, A & M are the endpoints & P is on the line.

A---------------------P--------------------M

So, we get, AP+PM= AM

Hence, True option is, B. AP+PM=AM.

To learn more on Equation 0f Straight-Line click:

brainly.com/question/11116168

#SPJ2

Answer:

45=6.7, 96=9.79

Step-by-step explanation:

because (6.7)6.7 =45 that’s how square root works… squared means two times a number

Step-by-step explanation:

- 3 ( x + 2 ) + 9 + 7x = 4x + 5 - 2

- 3x - 6 + 9 + 7x = 4x + 5 - 2

- 3x + 7x + 9 - 6 = 4x + 5 - 2

4x + 3 = 4x + 3

Answer:

unblock miniproxy.com

Step-by-step explanation:

Answer:A)Edinburgh B)5 degrees celsius C)-7

Step-by-step explanation:

Answer:

a) Edinburgh is the coldest

b)the difference in temperature between Exeter and Manchester is 5°C

c)-5+-2=-7         the new temperature in Edinburgh is -7

Step-by-step explanation:

Edinburgh -5 °C

Exeter 3 °C

Manchester -2 °C

Answer:

x=5

Step-by-step explanation:

x^2+25-10x = x^2-25

-x^2               -x^2

25-10x = -25

-25        -25

-10x = -50

x=5

lets check

(5-5)^2 = 5^2-25

0^2 = 25-25

0 = 0

Answer:

x = 5

Step-by-step explanation:

(x - 5)^2 = (x - 5) (x - 5) =

x^2 -10x + 25 = x^2 - 25

x^2 - x^2 - 10x + 25 = - 25 (x^2 - x^2 = 0)

- 10x + 25 = - 25

- 10x = - 25 - 25

x = - 50/- 10

x = 5

Answer:

Step-by-step explanation:

wht grade is this?

Answer:

1

Step-by-step explanation:

The difference between a number and its successor is 1

Answer:

13

Step-by-step explanation:

Because the problem says to make sure we have at least 3 candies of the same color, we have to think about the worst-case scenario. To get the worst-case scenario, we need to have the largest amount of candies taken before fulfilling the statement that 3 candies have the same color, so we take 2 black, 2 white, 2 green, 2 red, 2 blue, and 2 yellow candies. This sums to 12, and you have the worst case scenario here. But wait, you've picked only 2 of each candy. You have to pick one more candy to make sure you have 3 candies of the same color, so the answer is 12 + 1 = 13 candies.

this could take a while to think about but uhh i dont know,

The variance of the probability distribution is 3.4.

To find the variance of the probability distribution, calculate the following:

1. The squared deviation of each activity value from the mean.

2. The product of each squared deviation and its corresponding probability.

3. The sum of these products.

1. Calculate the squared deviation of each activity value from the mean (3.3):

[tex]\[ (0 - 3.3)^2 = 3.3^2 = 10.89 \]\\[/tex]

[tex]\[ (1 - 3.3)^2 = (-2.3)^2 = 5.29 \][/tex]

[tex]\[ (2 - 3.3)^2 = (-1.3)^2 = 1.69 \][/tex]

[tex]\[ (3 - 3.3)^2 = (-0.3)^2 = 0.09 \][/tex]

[tex]\[ (4 - 3.3)^2 = (0.7)^2 = 0.49 \][/tex]

[tex]\[ (5 - 3.3)^2 = (1.7)^2 = 2.89 \][/tex]

[tex]\[ (6 - 3.3)^2 = (2.7)^2 = 7.29 \][/tex]

[tex]\[ (7 - 3.3)^2 = (3.7)^2 = 13.69 \][/tex]

2. the product of each squared deviation and its corresponding probability:

[tex]\[ 0.059 \times 10.89 = 0.64351 \][/tex]

[tex]\[ 0.121 \times 5.29 = 0.63909 \][/tex]

[tex]\[ 0.164 \times 1.69 = 0.27716 \][/tex]

[tex]\[ 0.179 \times 0.09 = 0.01611 \][/tex]

[tex]\[ 0.212 \times 0.49 = 0.10388 \][/tex]

[tex]\[ 0.127 \times 2.89 = 0.36703 \][/tex]

[tex]\[ 0.086 \times 7.29 = 0.62814 \][/tex]

[tex]\[ 0.052 \times 13.69 = 0.71188 \][/tex]

3. Sum up these products to get the variance:

[tex]\[ \text{Variance} = 0.64351 + 0.63909 + 0.27716 + 0.01611 + 0.10388 + 0.36703 + 0.62814 + 0.71188[/tex]

              = [tex]3.38680 \][/tex]

              =3.4

So, the variance is 3.4.

Learn more about variance here:

https://brainly.com/question/29253308

#SPJ4

Answer:

9x + y = 12

Step-by-step explanation:

Hi there!

We are given the equation y - 3 = -9(x-1) and we want to write it in standard form

The equation is currently in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where [tex](x_1 , y_1)[/tex] is a point and m is the slope. Standard form is ax + by = c, where a, b, and c are free integer coefficients

We can first convert the equation from point-slope form into slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We can distribute 9 to every term on the right side:

y - 3 = -9x + 9

Now add 3 to both sides

y = -9x + 12

Now the equation is in slope-intercept form (y=mx+b). To make it standard form, add 9x to both sides, to make the form ax + by = c .

9x + y = 12

Hope this helps!