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user100 [1]
3 years ago
6

A radio active isotope decays according to the exponential decay equation where t is in days. Round to the thousandths place. Th

e half life is the solution (t) of the equation: a/2=ae^-2.360t
Mathematics
1 answer:
Whitepunk [10]3 years ago
8 0
To calculate the value of the half life we proceed as follows;
a/2=ae^(-2.360t)
the a(s) will cancel and we shall remain with:
1/2=e^-2.360t
introducing the natural logs we get:
ln (1/2)=ln e^(-2.360t)
ln(1/2)=-2.360t
hence;
t=(ln 0.5)/(-2.360)
t=0.294
the answer is t=0.294
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Solve the equation 4x +30 = 2(x-10)
snow_tiger [21]
4x+30=2(x-10)
4x+30=2x-20
4x-2x= -30-20
2x= -50
x= -25




Mark as brainliest if you find it helpful.

4 0
3 years ago
To convert 70 minutes to seconds, you would use the ratio a. true b. false
Angelina_Jolie [31]
True, you would use the ratio of minutes to seconds.
8 0
3 years ago
Brand X sells 21 oz. Bags of mixed nuts that contain 29% peanuts. To make their product they combine brand A mixed nuts which co
masha68 [24]

Answer:

Brand X has to mix 8.4 oz of brand A mixed nuts which contain 35% peanuts and 12.6 oz of brand B mixed nuts which contain 25%, to obtain 21 oz. Bags of mixed nuts that contain 29% peanuts.

Step-by-step explanation:

Hi

We define

B_{A}=1oz @ 35\%, wich means Brand A has 1 oz containing 35% peanuts.

B_{B}=1oz @ 25\%, wich means Brand b has 1 oz containing 25% peanuts.

So we can build an equiation system

(1) B_{a}+B_{b}=21

(2)0.35 \times B_{a}+0.25 \times B_{b}=0.29 \times 21, after fixing it a little

(2)0.35B_{a}+0.25B_{b}=6.09

As we can use any method to solve the system, I used a calculator wich thrown the following results B_{a}=8.4 \ oz and B_{b}=12.6 \ oz.

4 0
3 years ago
1. How are pounds per gallon and kilograms per liter alike? How are they different?
Goryan [66]

Answer:

1)= 1 kilogram per liter (kg/l) + 8.35 pound per gallon (lb/gal)

2)= 4.4704 meters per seconds

3)= 12in= 1ft ratio is 12:1

4)= 1ft=12in ratio is 1:12

5)= 3ft= 1 yard ratio is 3:1

6)=1 yard = 3ft ratio 1:3

Step-by-step explanation:

12 in = 1 foot

1 yard = 3 feet

1 yard = 36 in

I hope this helps

7 0
3 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
IrinaVladis [17]

Answer:  C= (3,2) and D=(2.2, 2.8)

Step-by-step explanation:

The coordinates of point P(x,y) divides a line segment having end points M{x_1,y_1} and N(x_2,y_2) in m:n will be :-

x=\dfrac{mx_2+nx_1}{m+n}\ ;\ y=\dfrac{my_2+ny_1}{m+n}

Given : The endpoints of AB are A(1,4) and B(6,-1).

If point C divides AB in the ratio 2 : 3, the coordinates of point C will be :-

x=\dfrac{2(6)+3(1)}{2+3}\ ;\ y=\dfrac{2(-1)+3(4)}{2+3}

Simplify,

\\\\\Rightarrow x=3\ y=2

Thus , coordinate of C= (3,2)

If point D divides AC in the ratio 3 : 2, the coordinates of point D will be :-

x=\dfrac{3(3)+2(1)}{3+2}\ ;\ y=\dfrac{3(2)+2(4)}{3+2}

Simplify,

\\\\\Rightarrow x=3\ y=2

Thus , coordinate of D= (2.2,2.8)

4 0
3 years ago
Read 2 more answers
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