How many atoms will there most likely be at the third half-life of potassium-40 in this model?



A model rock layer had 50 pennies (atoms of potassium-40).

How old is the rock layer?

Answer:

(-7, 5)

Step-by-step explanation:

Since both of them are equal to y, you could just set them equal to each other.

5/7x + 4 = -1/7x - 2

6/7x = -6

x = -7

Now just plug x back to one of the equations:

y = -1/7*(-7) - 2 = 7 - 2 = 5

Therefore, the solution to the system is (-7, 5)

Answer:2.7 - 1.50 = 1.2(2-1)

Answer:

129.6 is the answer

Step-by-step explanation:

Answer:

P(Take the bus|Junior)=0.57

Step-by-step explanation:

Conditional Probability

Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event B has occurred, then the probability that event A occurs is given by:

[tex]{\displaystyle P(A\mid B)={\frac {P(A\cap B)}{P(B)}}}[/tex]

Where [tex]P(A\cap B)[/tex] is the probability that both events occur and P(B) is the probability that B occurs.

The two-way table shows statistics of students and we are interested to find the probability that, given the student is a junior (let's call it event B), they also take the bus (Event A). Thus, the probability we need to calculate is:

[tex]\displaystyle P(A\mid B)={\frac {P(A\cap B)}{P(B)}}[/tex]

Checking on the table, we can see that both events occur when the row and the column of both events coincide, i.e. 20 students out of a total of 100 students in total. Thus:

[tex]\displaystyle P(A\cap B)=\frac {20}{100}=0.2[/tex]

The probability that a student is classified as Junior is

[tex]\displaystyle P(B)=\frac {35}{100}=0.35[/tex]

The conditional probability is:

[tex]\displaystyle P(A\mid B)=\frac {0.2}{0.35}=0.5714[/tex]

P(Take the bus|Junior)=0.57

Answer:

4

Step-by-step explanation:

4d + 1 = 17

1 + 4d = 17

Move all terms containing d to the left, all other terms to the right.

1 + -1 + 4d = 17 + -1

0 + 4d = 17 + -1

4d = 17 + -1

4d = 16

d = 4

1 Expand.

8x-6-8=4+2x8x−6−8=4+2x

2 Simplify  8x-6-88x−6−8  to  8x-148x−14.

8x-14=4+2x8x−14=4+2x

3 Add 1414 to both sides.

8x=4+2x+148x=4+2x+14

4 Simplify  4+2x+144+2x+14  to  2x+182x+18.

8x=2x+188x=2x+18

5 Subtract 2x2x from both sides.

8x-2x=188x−2x=18

6 Simplify  8x-2x8x−2x  to  6x6x.

6x=186x=18

7 Divide both sides by 66.

x=\frac{18}{6}x=

​6

​

​18

​​

8 Simplify  \frac{18}{6}

​6

​

​18

​​   to  33.

x=3x=3

Done Hope this helps let me know if u have any questions thank you

Answer:

it is called a decimal system

Step-by-step explanation:

.

Answer:

Decimal system

Answer: 15

Step-by-step explanation:

1+1

2+2

3+3

4+4

Answer:

Option C: since a false statement resulted, it means x = 2 is not a zero.

Step-by-step explanation:

We are told that She is checking the zeros of her quadratic function.

Now the zeros of a quadratic function f(x) are values of that make f(x) = 0. In order words they are basically the roots of the function or the x-intercept.

Now, she has tried x = 2 into her quadratic equation and it didn't yield zero.

Since it yielded -3 and not 0, it means 2 is not a zero of the quadratic function.

Answer: 10

Step-by-step explanation: 25% is 0.25 and 40x0.25 is 10

Answer:

the equation is c×p

and the admission for 19 people is 760

By using the principles of fractions, we can find out that the models represent the problem 3/4 × 3.

A number that represents a percentage of a whole serves as the mathematical representation of a fraction. Fractions can be thought of as any number, any amount, or a portion of an object.

A pizza that has been cut into eight equal pieces. The notation 1/8, which denotes that we are speaking of one portion out of 8 equally sized portions, can be used to refer to a single portion of the pizza.

It indicates one equal part in eight. Furthermore, it can be written as: 1/8

It will be written as 2/8 if we choose to have 2 portions of the pizza. Similar to how we would write 6/8 as a fraction if we were referring to 6 portions of this pizza.

Now here in the question, 3 parts are selected out of 4.

So that suggests it is 3/4.

As there are 3 circular models, so the representation will be as:

3/4 × 3.

To know more about fractions, visit:

https://brainly.com/question/10354322

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Answer:

4.5inches

Step-by-step explanation:

Given the volume of a prism expressed as:

V =lwh where:

l is the length

w is the width,

h is the height of the prism.

Given

V = 138.24in³

h = 9.6in

l = 3.2in

w = ?

Substitute the given values into the formula to get the width

138.24 =  9.6*3.2*w

138.24 = 30.72w

w = 138.24/30.72

w = 4.5in

Hence the width of the rectangular prism is 4.5inches

The width of the rectangular pyramid that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches is 4.5 inches.

where

l = length

w = width

h = height

v = 138.24 inches³

h = 9.6 inches

l = 3.2 inches

w  = ?

138.24 = 9.6 × 3.2 × w

138.24 = 30.72w

w = 138.24 / 30.72

w = 4.5 inches

learn more on volume of a rectangular pyramid here: https://brainly.com/question/13410734?referrer=searchResults

Answer:

0.0001

Step-by-step explanation:

10^-4 = 0.0001

Answer:

D.) SSS

Step-by-step explanation:

Considering the proof tells us that many sides seem congruent to each other, I am led to believe these triangles are congruent due to SSS.

Answer:

455

Step-by-step explanation:

if the number is 146, then this answer is right.

(3×146) +17 = 455

Answer:

The 5 in the tens place has more value then the 5 in the ones place

Step-by-step explanation:

Answer:

Its x10 as much

Step-by-step explanation:

The 5 in the 1s place equals 5.

(5x1)

The 5 in the tens place equals 50

(5x10)

Answer:

The algebraic expression for the nth term in this pattern is n^2 + 3n

Step-by-step explanation:

We want an algebraic expression for the nth term in this pattern.

Like we are told, there must be an expression that includes the term n^2

So therefore;

We need to express each of the terms to include the n^2 term

Kindly note that the n notation will represent the term number of the value we are considering. Let’s take it one after the other.

for 4; 1^2 + 3(1)

For 10; 2^2 + 3(2)

For 18; 3^3 + 3(3)

For 28; 4^2 + 3(4)

For 50; 5^2 + 3(5)

So the nth term will be;

n^2 + 3n

Answer:

d

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

2015: 9 games won

2014: 1 game won

rate of change = 2015 games won - 2014 games won

rate of change = 9 - 1

rate of change = 8

Answer:

2/5 8/20 4/10 and 16/40

Step-by-step explanation:

Answer:

2,3,4,5

Step-by-step explanation:

i got it right on edg

Answer:

c

Step-by-step explanation:

4/3

3/5

keep change fli[

20/9=2 2/9

Answer:

x=24

Step-by-step explanation:

0.6x - 5 = 0.1x + 7

add 5 to both sides:

0.6x = 0.1x + 12

take away 0.1x from both sides:

0.5x = 12

divide both sides by 0.5

x = 12÷0.5

x=24

hope this helps

brainliest plz?

x

Answer:

250.711

Step-by-step explanation:

You just multiply my dude.

Answer:

D. 2/15

Step-by-step explanation:

6+4+3+2=15

Red is 2.

2/15

Answer:

volume = about 117.81 feet^3

density = 0.763942 lb/ft^3

Step-by-step explanation:

this is if the piece of pine is cylindrical