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Brums [2.3K]
3 years ago
8

C-14 has a half life if approximately 5700 years how many years will it take for the radioactivity of a sample to reach one-four

th of its original amount
A. 1425
B.5700
C.11400
D. 22800
Mathematics
1 answer:
qaws [65]3 years ago
3 0
This is an easy half-life problem.
Every half-life, a substance loses half its radioactivity.  So, after 2 half-lives, a substance will have a quarter of its radioactivity.
2 * 5,700 = 11,400 years
answer is C

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Using y to represent number of bottles filled in x minutes, y = 250x.

This is rather basic, and I urge you to think about it so that it's very clear to you, and you will be able to do similar problems on your own in the future.

The graph will be a straight line passing through the origin (0,0).

8 0
4 years ago
I NEED HELP PLS THIS IS DUE IN 3 HOURS
Mariulka [41]

Answer:

Part 1)  x^{2} -2x-2=(x-1-\sqrt{3})(x-1+\sqrt{3})

Part 2)  x^{2} -6x+4=(x-3-\sqrt{5})(x-3+\sqrt{5})

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

Part 1)

in this problem we have

x^{2} -2x-2=0

so

a=1\\b=-2\\c=-2

substitute in the formula

x=\frac{-(-2)(+/-)\sqrt{-2^{2}-4(1)(-2)}} {2(1)}\\\\x=\frac{2(+/-)\sqrt{12}} {2}\\\\x=\frac{2(+/-)2\sqrt{3}} {2}\\\\x_1=\frac{2(+)2\sqrt{3}} {2}=1+\sqrt{3}\\\\x_2=\frac{2(-)2\sqrt{3}} {2}=1-\sqrt{3}

therefore

x^{2} -2x-2=(x-(1+\sqrt{3}))(x-(1-\sqrt{3}))

x^{2} -2x-2=(x-1-\sqrt{3})(x-1+\sqrt{3})

Part 2)

in this problem we have

x^{2} -6x+4=0

so

a=1\\b=-6\\c=4

substitute in the formula

x=\frac{-(-6)(+/-)\sqrt{-6^{2}-4(1)(4)}} {2(1)}

x=\frac{6(+/-)\sqrt{20}} {2}

x=\frac{6(+/-)2\sqrt{5}} {2}

x_1=\frac{6(+)2\sqrt{5}}{2}=3+\sqrt{5}

x_2=\frac{6(-)2\sqrt{5}}{2}=3-\sqrt{5}

therefore

x^{2} -6x+4=(x-(3+\sqrt{5}))(x-(3-\sqrt{5}))

x^{2} -6x+4=(x-3-\sqrt{5})(x-3+\sqrt{5})

5 0
3 years ago
What is x squared plus six x minus twenty seven =0
marishachu [46]
x^2+6x-27=0\\\\x^2-3x+9x-27=0\\\\x\big(x-3\big)+9\big(x-3\big)=0\\\\\big(x+9\big)\big(x-3\big)=0\\\\\\x+9=0\qquad\vee\qquad x-3=0\\\\\boxed{x=-9\qquad\vee\qquad x=3}
8 0
4 years ago
Solve for x.<br> −x+8=−9<br> Enter your answer as a number, like this: 42
Ymorist [56]

Answer:

x=17

Hope it helps;)

Step-by-step explanation:

Subtract 8 from both sides of the equation

-x+8=9

-x+8-8=9-8

Simplify

Subtract the numbers

x= -17

Divide both sides of the equation by the same term

x= 17

-x/-1= -17/-1

Simplify

Cancel terms that are both in the numerator and denominator

Divide the numbers

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8 0
3 years ago
Alexandria is practicing her long distance running. On day 0, she can run 2 miles without stopping. She wants to add 1/4 mile to
monitta

Answer:

slope = 1/4

Step-by-step explanation:

If a equation is in form of y = mx + c

them m is the slope of line.

____________________________________________

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Y(0) = 2

she adds 1/4 miles each day then

Y(1) = 2 + 1/4

Y(2) = 2 + 1/4 +1/4 = 2 +1/4(2)

Y(3) = 2 + 1/4 +1/4 +1/4= 2 +1/4(3)

.

.

.

.

similarly

in d days she can run 2 miles + 1/4*d miles

thus, we have

Y(d) = 2 + 1/4(d)

it can be also solved

Thus we see that it is a linear relationship y = 2 + 1/4(d)

which is in the form of y = mx + c

comparing mx to 1/4 d

we have m = 1/4

thus,

slope of this linear relationship is 1/4

8 0
3 years ago
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