half-life of Po-210 is 140 days. If the initial mass of the sample is 5
kg, how much will remain after 420 days.

Answer:

- 199

Step-by-step explanation:

7.

a1 = 25

d = - 16

15th term is t15.

Formula : -

an = a + ( n - 1 )d

t15

= 25 + ( 15 - 1 ) - 16

= 25 + 14 ( - 16 )

= 25 + ( - 224 )

= 25 - 224

= - 199

Answer:

[tex]\sqrt{106}[/tex] or 10.29563

Step-by-step explanation:

Use the distance formula to determine the distance between the two points.

[tex]d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2} }[/tex]

d = distance

[tex](x_{1}, y_{1})[/tex] = coordinates of the first point

[tex](x_{2}, y_{2})[/tex] = coordinates of the second point

Answer:

[tex]\displaystyle d = \sqrt{106}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

Point (-2, -8)

Point (7, -3)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

i think its every 90 minutes but I could be wrong.

Step-by-step explanation:

Answer: 43 g

Step-by-step explanation: For 215 to be divided equally between five people the equation should be set up as 215/5, which equals 43 g for each person.

Answer:

14

Step-by-step explanation:

1/9(3)^4+5

1/9*81+5

9+5

14 is your answer

Answer:

1742

Step-by-step explanation:

I am of the belief this is the right answer according to the arithmetic calculator.

Answer:

13

Step-by-step explanation:

you have to use Pythagorean Theorem which is

(a^2) + (b^2) = (c^2)

where a and be are the legs 45° from each other and c is the hypotenuse.

so just plug in the numbers

5^2 + 12^2 = c^2

25 + 144 = c^2

169 = c^2

now square root both sides to get rid of the square on c

root(169) = root(c^2)

13 = c

Answer:

A

Step-by-step explanation:

Given :

And we need to find the inverse of the given function. We can do it by Firstly Interchanging x and y.

So that ,

[tex]:\implies[/tex] f(x) = y

[tex]:\implies[/tex] y = ³√[ x - 9 ]

[tex]:\implies[/tex] x = ³√[ y - 9 ]

[tex]:\implies[/tex] x³ = y - 9

[tex]:\implies[/tex] y = x³ + 9

[tex]:\implies[/tex] f-¹(x) = x³ + 9

Hence option A is correct .

Answer:

B) 0.8

Step-by-step explanation:

If events are said to be independent, then just multiply the probability of the first event by the second if they are supposed to be happening together.

P (A) * P (B) = 0.8 x 1 = 0.8

Answer:

C. 2, 808 cm^3

Step-by-step explanation:

Given that

The base of the pyramid is 18 centimeters

And, the height of the pyramid is 26 centimeters

We need to find out the volume of the pyramid

As we know that

The volume of the pyramid is

= 1 ÷ 3 × base^2 × height

= 1 ÷3 × 18^2 × 26

= 2,808 centimeter^3

Hence, the correct option is c.

Answer:

hey, the answer is 9π m²

Answer:

x= 4 and y= 12

Step-by-step explanation:

solve by substitution

hope this helps :D

Answer:

30

Step-by-step explanation:

Well I think that this is a line, and so the angle is 180. The other line is 90 which is half of 180. It leaves 90 left. then all you have to do is solve the equation 3x=90 (x+2x=3, 9-9=0) 90 divided by 3 is 30.

Answer:

5898

Step-by-step explanation:

7,390 - 1,492 = 5898

Answer:

Just guessing here but would the bottom be 4,8,12,16,20 maybe since it is going by 4 then you do the same for the top since it is going by 3

Step-by-step explanation:

Answers:

Input the numbers only in each box. So that means you won't type in a comma.

The least common denominator is  12

=======================================================

Explanation:

Your teacher wants you to list the multiples of each denominator.

The values in bold are what will go in the boxes in those first two rows.

The least common denominator is 12 because it is the smallest thing found in common in the two lists above. In other words, 12 is the LCM (least common multiple) of 3 and 4. Note how 3*4 = 12. This works because 3 and 4 do not have any common factors between them other than 1.

The LCD (least common denominator) is the LCM of the denominators. The LCD is useful for when you want to add or subtract fractions. The denominators must be the same for you be able to add or subtract them.

Answer:

For part A:

9x² - 36x + 36 = 0

9(x² - 4x + 4) = 0

9(x-2)(x-2) = 0

Radicand = Discriminant = 36² - 4(9)(36) = 0

there is 1 real zero that repeats itself)

zero is x=2.

Use factoring. Factors of 7 are 1 and 7

2x²-9x+7 = 0

(2x-7)(x-1) = 0

2x-7 = 0 (x-1)=0

2x = 7x=1

x = 7/2

Your solutions are x = 1 and x = 7/2

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

True!

Step-by-step explanation:

“Rate of change” means the same as “slope.” If you are asked to find the rate of change, use the slope formula or make a slope triangle.

Answer:

answer in the screen shot provided

Answer:

1)3 2)86

Step-by-step explanation:

3h+77=SA AND 92-2h=MB

3h+77=92-2h

-77. = -77

3h= 15-2h

+2h=+2h

5h=15

H=3

x = 6 and x = -2

Step-by-step explanation:

Put the 12 to the other side

x^2 - 4x - 12 = 0

Now factor this out:

(x - 6)(x + 2) = 0

Therefore, the roots of this equation are

x = 6 and x = -2

Answer:

A. -9, 21

Step-by-step explanation:

Use m.a.t.h.w.a.y and you will get the answer!

Answer:

A

Step-by-step explanation:

| x-6| = 15 , check if this is true for the given x values

for x= -9 we have | -9-6| =  15 true

for x= 21 we have | 21 -6| = 15 true

so A is a solution set

for x= -15 we have | -15-6| =  15 false

so B is not a solution set

for x= 9 we have | 9-6| =  15 false

so C is not a solution set

for x= -9 we have | -9-6| =  15 true

for x= -21 we have | -21-6| =  15 false

so D is not a solution set

for x= -6 we have | -6-6| =  15 false

so E is not a solution set

Answer:

(2,12)

Step-by-step explanation:

mathpapa

Answer:

(2,1)

Step-by-step explanation:

The volume of the square pyramid is 600cm^3