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omeli [17]
3 years ago
14

A particle decays at a rate of 0.45% annually. assume and initial amount of 300 mg. (

Mathematics
1 answer:
raketka [301]3 years ago
6 0
The increase is an exponential increase in a multiplier
100%+0.45%=100.45% and as decimal 1.0045

Final Value = Initial Value × multiplier^{number of years}
Final value = 300(1.0045)^{60}
Final value = 393 mg (to the nearest whole number)

Half life = 0.5 years
Final value = 300(1.0045)^{0.5}=301 mg
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Solve for the smallest value of $x$ such that $24x^2 + 17x - 20 = 0.$ Express your answer as a simplified common fraction.
Gala2k [10]
X=5/8 or x=-4/3 
here is the work if needed...
24x^2+17x-20=0
Step one: Factor left side of equation.
(8x-5)(3x-4)=0
Step two: Set factor equal to 0.
8x-5=0 or 3x-4=0
x=5/8 or x=-4/3
4 0
2 years ago
I feel like it’s C but I need gel to make sure it’s right help please I can’t really get any wrong on this
Flauer [41]
The answer is D.  It does not satisfy the second equation because 0 is not greater than 1.
4 0
3 years ago
The equation of line fis - 3y + 4x = 9 write the equation of a line that is parallel to line and passes through the point (- 12,
ollegr [7]

Answer:

y =  - 4x - 42

Step-by-step explanation:

The equation of the line that is parallel to the line we are trying to find is

- 3y + 4x = 9 \\ or \\  - 3y =  - 4x + 9 \:(standard form) \\ \\therefore \: the \: slope \: of \: the \: line \\  \: is \:  - 4

We can recall that when two lines are parallel it means that they have the same slope. Therefore the slope of the line we are trying to find is also -4. We now know that:

y = 6 \:  \:  \: x =  - 12 \:  \:  \: slope =  - 4

Therefore the equation of the line is:

y = mx + c \\  6= ( - 4)( - 12) + c \\ 6 = 48 + c \\ 6 - 48 = c \\  - 42 = c

y = mx + c \\ y =  - 4x - 42

3 0
2 years ago
Help pls look at the picture
Alika [10]

Answer:

Option A: -\frac{4}{3} is the correct answer.

Step-by-step explanation:

Given that:

Slope of the line = \frac{3}{4}

Let,

m be the slope of the line perpendicular to the line with slope \frac{3}{4}

We know that,

The product of slopes of two perpendicular lines is equals to -1.

Therefore,

\frac{3}{4}.m=-1\\

Multiplying both sides by \frac{4}{3}

\frac{4}{3}*\frac{3}{4}m=-1*\frac{4}{3}\\

m = -\frac{4}{3}

-\frac{4}{3} is the slope of the line perpendicular to the line having slope \frac{3}{4}

Hence,

Option A: -\frac{4}{3} is the correct answer.

3 0
3 years ago
Use the distributive property to remove the parentheses -5(2x-3w-6)
Strike441 [17]

Answer:

15w - 10x + 30.

Step-by-step explanation:

-5(2x - 3w - 6)

= (-5 * 2x) + (-5 * -3w) + (-5 * -6)

= -10x + 15w + 30

= 15w - 10x + 30.

Hope this helps!

7 0
3 years ago
Read 2 more answers
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