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Anon25 [30]
4 years ago
13

A radioactive substance decays exponentially. A scientist begins with 100 milligrams of a radioactive substance. After 27 hours,

50 mg of the substance remains. How many milligrams will remain after 36 hours?
Mathematics
1 answer:
never [62]4 years ago
7 0
33.3 because 27/50=36/x and x=66.67 and thats how much as decayed after 36 hours but you want what is left so subtract from 100 and get 33.3
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Which binomial is a factor of 49x2 + 84 xy + 36y2?
bezimeni [28]

Answer:

(7x+6y) is a binomial factor of the given expression  49x^2+84xy+36y^2

Therefore  49x^2+84xy+36y^2=(7x+6y)(7x+6y)

Step-by-step explanation:

Given expression is 49x^2+84xy+36y^2

To find the binomial factor :

49x^2+84xy+36y^2

Rewritting the above expression as

=7^2x^2+2(7)(6)xy+6^2y^2

=(7x)^2+2(7x)(6y)+(6y)^2

=(7x+6y)^2 ( using the formula =(a+b)^2=a^2+2ab+b^2 here a=7x and y=6y )

=(7x+6y)(7x+6y) ( using the formula =(a+b)^2=(a+b)(a+b) )

Therefore  49x^2+84xy+36y^2=(7x+6y)(7x+6y)

(7x+6y) is a binomial factor of the given expression  49x^2+84xy+36y^2

7 0
3 years ago
If f(x)=-3x+4 and g(x)=x2, what is (g°f)(0)
Rus_ich [418]

Answer:

16

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
A customer service representative earns $13 an hour, and he works 52 hours a week. What is his weekly wage? A. $91 B. $364 C. $6
leva [86]



I'm pretty sure its c
You just multiply 13 and 52


















4 0
4 years ago
A ball was dropped from a height of 60m. Each time it hit the ground, it bounced up 1/2 (half) of the height that it dropped. Ho
asambeis [7]

Answer:

The ball traveled 116.25 m when it hit the ground for the fifth term

Step-by-step explanation:

This is a geometric progression exercise and what we are asked to look for is the sum of a GP.

The ball was dropped from a height of 60 m. This means that the initial height of the ball is 60 m.

First value, a = 60

Each time it hit the ground, it bounced up 1/2 (half) of the height that it dropped.

This is the common ratio, r = 1/2 = 0.5

The number of terms it hits the ground is the number of terms in the GP.

number of terms, n = 5

The distance traveled by the ball when it hit the ground for the fifth term will be modeled by the equation:

S_n = \frac{a(1 - r^n) }{1 - r} \\S_5 =  \frac{60(1 - 0.5^5) }{1 - 0.5}\\S_5 =  \frac{58.125}{0.5} \\S_5 = 116.25 m

4 0
3 years ago
Which expression gives the distance between the points
Anna35 [415]

Answer:

  D.  √((2 +4)² +(5 -8)²)

Step-by-step explanation:

The distance is found using the formula ...

  d = √((x1 -x2)² +(y1 -y2)²)

Selection D has this formula properly filled in with the values ...

  (x1, y1) = (2, 5)

  (x2, y2) = (-4, 8)

6 0
4 years ago
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