A sample of a radioactive isotope had an initial mass of 650 mg in the year 1994 and
decays exponentially over time. A measurement in the year 1996 found that the
sample's mass had decayed to 570 mg. What would be the expected mass of the
sample in the year 2005, to the nearest whole number?

Step-by-step explanation:

let the numbers are:

a, b, and c

the equation would be:

a+b+c = 131

c = 4a

b = a+5

=>

a + a+5 +4a = 131

6a +5 = 131

6a = 131-5

6a = 126

a= 126/6

a = 21

b = a+5 = 21+5

b = 26

c = 4a = 4(21)

c = 84

Answer:

11

Step-by-step explanation:

1. You could solve this as a way of just knowing that 6+11=17.

2. You could also solve this algebraically by subtracting 6 on both sides and getting y=11 because 17-6=11.

Answer:

y=11

Step-by-step explanation:

6+y=17

y=17-6

y=11

your answer is 740 {:

Step-by-step explanation:

let x be the original price

then we write our equation

x-60%x=200 (x=100%x)

100%x-60%x=200

40%x=200

(40/100)x=200

x=(200*100)/40

x=20000/40=500

so the original price was $500

Hi there!

The ratio of the base to the height is 4:1, so:

12 cm : x cm

12/4 = 3, which is the scale. Thus, x = 3 cm.

Find the area using the equation A = b × h

A = 3 × 12 = 36 cm²

Step-by-step explanation:

30x³y³z²+12x²y²z³-18x⁵y⁶z

6x²y²z(5xyz+2z²-3x³y⁴).

hope this helps you.

Answer:

92.5% before discount 100% after discount is 92.5%

Answer: im not sure but it should be 5 that symbol then 3

Step-by-step explanation: ez dubs and also i love pizza this is for the points XD

Using Pythagorean theorem

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto H^2=(5√3)^2+5^2[/tex]

[tex]\\ \sf\longmapsto H^2=75+25[/tex]

[tex]\\ \sf\longmapsto H^2=100[/tex]

[tex]\\ \sf\longmapsto H=10[/tex]

Done

Answer:

see below

Step-by-step explanation:

x < -3  for the first equation

x > 4 for the second equation

Answer:

(D) 6yr

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

there are only x y and z used in the expression no matter how many times they multiply.

Answer: 0.05

Step-by-step explanation:

1) Re-arrange the formula given to find the rate (r)

I = Prt

becomes r = I / Pt

Now we add in the values we know

P = 3000, t = 3 years, I = 450

r = 450 / ( 3000 × 3 )

r = 0.05 or 5% / year

Answer:

15/50

Step-by-step explanation:

5*3=15

5*10=50

so 15/50.

Answer:

B. 432 feet

Step-by-step explanation:

36 yards * 3 = 108 feet

108 feet * 12 = 1296 inches

Answer:

4 sweets are orange in jar B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

C. (1, 3) & (6, 3)

Step-by-step explanation:

A is incorrect as the points are only 1 unit apart on the x-axis. (3 - 2 = 1)

B is incorrect as the points are only 2 units apart on the x-axis. (3 - 1 = 2)

C is correct as the points are 5 units apart on the x-axis (6 - 1 = 5)

D is incorrect as the points are 4 units apart on the x-axis (5 - 1 = 4)

Hope this helped! You can also plot the points on graph paper and find the distance that way.

Answer:

4 in / min

^Speed of snail

1min × 60 = 1hour

(4 in / min) × 60 = 240 in / hour

12 in = 1 ft.

240in / 12 = 20ft. every. hour OR 20ft. / h

Step-by-step explanation:

Answer:

1: C

2: D

3: i am not sure about this one since theres no question

4: D

5: D

Answer:

x=(h-12y-2)/4

Step-by-step explanation:

h=4x+12y+2

4x=h-12y-2

x=(h-12y-2)/4

Answer:

(-5/2, -33/4)

Step-by-step explanation:

-b/2a

-5/2 = x

f(-5/2) = (-5/2)^2 + 5(-5/2)-2 = -33/4

Hence, the value of x ix 5/21.

[tex]\sf \leadsto \dfrac{7x - 3}{2} = \dfrac{-2}{3}[/tex]

[tex]\sf \leadsto 3(7x - 3) = -2(2)[/tex]

[tex]\sf \leadsto 21x - 9 = -4[/tex]

[tex]\sf \leadsto 21x = -4 + 9[/tex]

[tex]\sf \leadsto 21x = 5[/tex]

[tex]\sf \leadsto x = \dfrac{5}{21}[/tex]

Answer:

5/42

Step-by-step explanation:

7x - 3/2 = -2/3          (Take -3/2 to the other side so it becomes +3/2)

7x = -2/3 +3/2          (Add the two fractions)

7x = 5/6                    (7 is taken to the other side so 5/6 ÷ 7)

x = 5/42

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The Answers are :

Answer:

9 and 36 = 9

35 and 42 = 7

100 and 120 = 20

84 and 42 = 42

Answer:

c both point and line symmetry.

Unless we are missing more information (which I think we may be as this is a simpler question)

10 - 7 = 10 - 7 = 3

If you need it in words:

Ten minus seven

- or -

Seven subtracted from ten

Answer:

2/14

Step-by-step explanation:

when you scale the numerator and denominator down by 4, you just divide both of them by 4. So since 8 divided by 4 is 2 and 56 divided by 4 is 14, the answer is 2/14

I hope this step by step explanation helps.

A plane travels 800 meters along the runway before taking off, then the distance travelled from the starting point will be equal to 1793.24 meters.

Velocity is the rate at which a moving object's direction changes as perceived from a certain vantage point and measured by a particular unit of time. Kinematics, the area of special relativity that investigates how bodies move, starts with the fundamental idea of speed.

In order to be explained, the scientific vector quantity known as velocity needs to have both a magnitude and a direction.

As per the given data in the question,

Distance travelled by plane = 800 meters

Use the equation,

a² = b² + c² -2bc cos A

d² = 800² + 1000² - (2 × 800 × 1000 × cos 170°)

d² = 1640000 - 1600000(cos 170°)

d² = 3215692.405

d = 1793.24

To know more about Velocity:

brainly.com/question/18084516

#SPJ2

Answer:

The final answer is 25000000.

Step-by-step explanation:

Answer:

25000000

Step-by-step explanation:

10^6 = 1000000

25 x 10^6 = 25000000

Answer:

Step-by-step explanation:

When two lines intersect, the non adjacent angles formed are called vertical angles and they are congruent.

∠FZG = ∠HZJ   {Vertical angles are congruent.

∠FZG = 38°

Answer:

Step-by-step explanation:

Step 1. Find the slope:

[tex]slope = m = \frac{y_{2} - y_{2} }{x_{2} - x_{1} }[/tex]

point 1, ([tex]x_{1} y_{1} \\[/tex])

point 2, ([tex]x_{2} , y_{2} \\[/tex])