1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Archy [21]
2 years ago
6

The half-life of a radioactive kind of iodine is 60 days. How much will be left after 240 days, if you start with 480 grams of i

t?
Mathematics
1 answer:
exis [7]2 years ago
6 0

Answer:

30 grams

Step-by-step explanation:

half life is 60 days so every 60 days the amount 480 grams will be half

in 240 days will decay  240 /60 = 4 times

once 480 /2 = 240

twice 240 /2 = 120

trice 120 / 2 = 60

four times 60/2 = 30 grams will be left

You might be interested in
Probability.
swat32

Answer: 0.0386

Step-by-step explanation:

Given: The probability hat the frozen chickens contain enough salmonella bacteria to cause illness if improperly cooked : p= 0.30

Sample size : n = 12

Let x = Number of contaminated chickens

Here , two outcomes for any chicken (either contaminated or not) , so it follows binomial distribution.

Binomial probability formula:

P(X=x)  = \ ^nC_x p^x(1-p)^{n-x}

The probability that the consumer will have more than 6 contaminated chickens :-

P(X>6)=P(X=7)+P(X=8)+P(X=9)+P(X=10)+P(X=11)+P(X=12)\\\\=^{12}C_6(0.3)^6(0.7)^6+^{12}C_7(0.3)^7(0.7)^5+^{12}C_8(0.3)^8(0.7)^4+^{12}C_9(0.3)^9(0.7)^3+^{12}C_{10}(0.3)^{10}(0.7)^2+^{12}C_{11}(0.3)^{11}(0.7)^1+^{12}C_0(0.3)^{12}(0.7)^0

=0.03860084306\approx0.0386<em>  (simplified)</em>

<em />

Hence, the required probability = 0.0386

5 0
3 years ago
Julia rides her horse 18 km with a constant speed of 6 km/hr and another 24 km with a constant speed of 12 km/hr. What is her av
tester [92]

The answer is 8.4km/hr


(6+6+6+12+12)÷5=8.4


I don't know how to explain it it's as easy as 2+2 but as hard as explaining how to get 4 from 2+2

4 0
3 years ago
Anyone please HELP cause I’m getting frustrated
pashok25 [27]

Answer:

U =35.5

Step-by-step explanation:

Since this is a right angle, we can use trig functions

tan theta = opp/ adj

tan U = 5/7

Take the inverse of each side

tan ^-1 tan U = tan ^-1 (5/7)

U = 35.53767779

Round to the nearest tenth

U =35.5

4 0
3 years ago
What is the slope intercept of the equation of the line through the given point (0,3) and (-4,-1)
cestrela7 [59]

Answer:

y=x+3

Step-by-step explanation:

1.) Find slope

slope = (-1-3)/(-4-0)

= -4/-4

= 1

2.) Use point slope form

<u>y-y1= m (x-x1) </u>

both x1 and y1 are the points

m is the slope

3.) Plug in the numbers

for the points I chose (0,3) to plug in

y-3= 1 (x1-0)

y-3= x

y= x+3

8 0
3 years ago
The region bounded by y=(3x)^(1/2), y=3x-6, y=0
Ganezh [65]

Answer:

4.5 sq. units.

Step-by-step explanation:

The given curve is y = (3x)^{\frac{1}{2} }

⇒ y^{2} = 3x ...... (1)

This curve passes through (0,0) point.

Now, the straight line is y = 3x - 6 ....... (2)

Now, solving (1) and (2) we get,

y^{2} - y - 6 = 0

⇒ (y - 3)(y + 2) = 0

⇒ y = 3 or y = -2

We will consider y = 3.

Now, y = 3x - 6 has zero at x = 2.

Therefor, the required are = \int\limits^3_0 {(3x)^{\frac{1}{2} } } \, dx - \int\limits^3_2 {(3x - 6)} \, dx

= \sqrt{3} [{\frac{x^{\frac{3}{2} } }{\frac{3}{2} } }]^{3} _{0} - [\frac{3x^{2} }{2} - 6x ]^{3} _{2}

= [\frac{\sqrt{3}\times 2 \times 3^{\frac{3}{2} }  }{3}] - [13.5 - 18 - 6 + 12]

= 6 - 1.5

= 4.5 sq. units. (Answer)

7 0
3 years ago
Other questions:
  • Find the area (7cm, 20cm, 11 cm, 14 cm
    14·2 answers
  • Karen calculates the volume of cylinder A with a radius of 3 inches, and a height of 6 inches. The volume of this cylinder is 54
    9·1 answer
  • What would 28/16 be as a mixed number
    15·2 answers
  • Write 4.32 in word form
    11·2 answers
  • Which shows the expressions in the order they would appear on a number line from least to greatest?
    13·1 answer
  • PLEASE HELP MEEEEEEE
    12·1 answer
  • Brad sells each cup of lemonade for $0.50. He wrote the equation y = 0.50x to figure out the amount y he will get for selling x
    9·1 answer
  • I need help I'm failing plzzzzz god bless you!
    11·2 answers
  • I need help asap thank you
    8·1 answer
  • Write the grammatical sentence as an algebraic one: Nine less than half a number is twenty-four. ​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!