need help with questions 15 and 16 please

The given equations are incomprehensible, I'm afraid...

You're given that osmium-183 has a half-life of 12 hours, so for some initial mass M₀, the mass after 12 hours is half that:

1/2 M₀ = M₀ exp(12k)

for some decay constant k. Solve for this k :

1/2 = exp(12k)

ln(1/2) = 12k

k = 1/12 ln(1/2) = - ln(2)/12

Now for some starting mass M₀, the mass M remaining after time t is given by

M = M₀ exp(kt )

So if M₀ = 590 g and t = 36 h, plugging these into the equation with the previously determined value of k gives

M = 590 exp(36k) = 73.75

so 73.75 ≈ 74 g of Os-183 are left.

Alternatively, notice that the given time period of 36 hours is simply 3 times the half-life of 12 hours, so 1/2³ = 1/8 of the starting amount of Os-183 is left:

590/8 = 73.75 ≈ 74

Answer:

200

Step-by-step explanation:

just do 6 times 10 because that will get you 60 min (1 hour)

then just do 10 x 20 as well for the pages

Answer:

Height of the building = 115.4 ft.

Step-by-step explanation:

Height of building = AB + 46.4 + CD + 30.5

By applying Pythagoras theorem in ΔABP,

(26)² = (10)²+ (AB)²

676 - 100 = AB²

AB² = 576

AB = 24 ft

By applying sine rule in ΔCDE,

cos(60°) = [tex]\frac{CD}{CE}[/tex]

CD = CE × [tex]\frac{1}{2}[/tex]

CD = [tex]\frac{29}{2}[/tex]

CD = 14.5 ft

Total Height = 24 + 46.4 + 14.5 + 30.5

                     = 115.4 ft

Answer:

hiii

Step-by-step explanation:

Answer:

Answer is B

Step-by-step explanation:

Front view is the same as viewing from the side, and on top it just looks like a square

Hope I helped

Answer:

The axis of symmetry is x=1

The vertex is (1,-9)

The x-intercepts are (4,0) and (-2,0)

The y-intercept is (0,-8)

Step-by-step explanation:

axis of symmetry is the line where the vertex is, so in the quadratic of x^2, the axis of symmetry would be zero because half of the equation is on one side and the other half on the other side

The vertex is the lowest point on the quadratic, on the y values

the x-intercepts are the places the graph intercepts the x-axis.

The y-intercepts are the places the graph intercepts the y-axis

ask if u still have any questions!

Answer:

19 girls snd 10 boys

Around my room before you came.

Answer: around my room before you came

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

D

Bro this is the answer!

Answer:

14,776 feet

Step-by-step explanation:

Answer:

I think that the original price would be $30, but I'm not completely sure.

Step-by-step explanation:

Half (50%) of 40 would be 20, and half of 20 (25%) would be 10. Add 10 to 20 to get 30, because you are adding the %25 back to $20.

Hope this helps!

Answer:

$80

Step-by-step explanation:

25% = 1/4

To get original price multiply by 4:

$20 × 4 = $80

Answer:

3/1 aka 3 :) also cute izuku pfp!!!!

Step-by-step explanation:

Answer: X= 16.83 or 17 rounded

Step-by-step explanation:

Sin63 degrees= 15/x so to solve for x divide 15 by sin 63

[tex]\frac{15}{sin63}[/tex]=16.83

Answer:

1. y = 32

2. x = 6

3. -33 = n

4. a = -15.6

Step-by-step explanation:

1.

y-23=55

 +23  +23          (23 cancels)

y = 32

2.

x - 14 = -8

 +14      +14           (-14 cancels)

   x = 6

3.

-15 = n + 18

    -18       -18          (18 cancels)

    -33 = n

4.

18.3 + a = 2.7

-18.3        -18.3        (18.3 cancels)

         a = -15.6

Answer:

40

Step-by-step explanation:

120 divided by three equals fourty

Answer:

A (3 Oranges For $1.02)

Step-by-step explanation:

3 Oranges for $1.02 is $0.34 for each Orange

4 Oranges For $1.52 is $0.38 for each Orange

6 Oranges for $2.46 is $0.41 for each Orange

5 Oranges for $1.75 is $0.35 for each Orange

Which Makes The First One The Cheapest Out Of All

Answer: ten times 3 x ^2

Step-by-step explanation:

Answer:

Substitute 10 for x in the equation. [tex]3(10)^2[/tex]. If that is not a choice for the answer then you would multiply 10 by the second power.

[tex]3(10)^2\\3(100)[/tex]

Step-by-step explanation:

I hope this helps! May i please have brainliest? :)

Answer:

4ft

Step-by-step explanation:

we will use the formula which states area of triangles is equal to base multiplied height divided by 2

base=5ft

height=8ft

area=5*8/2

=13/2

=6.5ft

this pic is not clear pls mention better next time I was confused what is 4ft and what is 8ft however if I have understood wrong I have also written the formula.

Answer:

157 Students go on the trip

Step-by-step explanation

630 x .25

= 157.5

Answer:

Perceentage of whole students= 25%

Students= 630

630 X 25

157.50

Hope it helps

Answer:

Step-by-step explanation:

1. 10

2.The mean is ten because 6 + 7 + 8 + 9 + 10 + 10 + 10 + 12 + 14 + 14 = 100/10. The (Mean) = 10

3. is A and B

Thats all i have still stuck on number 4 sorry

Answer: I need more to solve this

Step-by-step explanation:

Answer:

AB equals 4.535 (4.53478)

Answer:

68

Step-by-step explanation:

Their are 77 total, 77-3= 74-4= 70-2= 68

Answer:

450

Step-by-step explanation:

75 x 6 is 450 so the answer is 450

Answer:

y=-1/5x-1

Step-by-step explanation:

The simplified value of the expression  [tex]log_4[/tex] 256 is 4.

Thus, option (C) is correct.

To evaluate the expression [tex]log_4[/tex] 256, determine the power to which 4 must be raised to obtain 256.

So, the equation can be set up

[tex]4^x[/tex] = 256.

Now, put the value of x one by one as

[tex]4^2 = 16[/tex]

[tex]4^3 = 64[/tex]

[tex]4^4 = 256[/tex]

Thus, when the number 4 raise to the power 4 it gives 256.

Thus, option (C) is correct.

Learn more about Exponents here:

https://brainly.com/question/5497425

#SPJ6

Answer: I believe that’s 96 squared cm

Step-by-step explanation:

The formula for surface area for a cube is 6 times the side to the power of 2

6*4^2 = 96 cm^2

Answer:

She spends $36.53

Answer:

A. 6

Step-by-step explanation:

[tex]10x \degree + 30 \degree = 90 \degree \\(complementary \:angles) \\\\ 10x \degree = 90 \degree - 30 \degree\\ \\ 10x \degree = 60 \degree \\ \\ 10x = 60 \\ \\ x = \frac{60}{10} \\ \\ x = 6[/tex]