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Marat540 [252]
3 years ago
13

A scientist has a sample of the radioactive isotope bismuth-212. The isotope decays exponentially as shown in the table. Time (s

econds) Mass (grams) 10 26.8 20 23.9 30 21.3 40 19.0 50 16.9 60 15.1 Which equation best represents the curve of best fit for this set of data? A. f(x) = 29 • 0.989x B. f(x) = 27 • 1.011x C. f(x) = 30 • 0.989x D. f(x) = 28 • 0.234x
Mathematics
1 answer:
luda_lava [24]3 years ago
7 0

Answer:

f(x) = 30 • 0.989x

Step-by-step explanation:

Given the data :

10 26.8

20 23.9

30 21.3

40 19

50 16.9

60 15.1

Using technology, the exponential model equation obtained by plotting the data is :

y = 30.068(0.989)^x

Based on the general exponential formula :

y = ab^x

y = predicted value

Initial value, a = 30.068

Rate = b = 0.989

The most appropriate model equation from the options given is :

f(x) = 30 • 0.989^x

You might be interested in
First, rewrite 9/10 and 23/25 so that they have a common denominator.
MAVERICK [17]
The cheap answer is, well, all we do is, grab the denominator of one and multiply the other by it, top and bottom, and grab the denominator of the other, and multiply the first one by that one too, that way, both will have the same denominator, and then you can simply check the numerator to see who's larger, let's do so.

\bf \cfrac{9}{\boxed{10}}\qquad \qquad \cfrac{23}{\boxed{25}}
\\\\\\
\cfrac{9\cdot \boxed{25}}{10\cdot \boxed{25}}\implies \cfrac{225}{250}\qquad \qquad \qquad \cfrac{23\boxed{10}}{25\cdot \boxed{10}}\implies \cfrac{230}{250}\\\\
-------------------------------\\\\
\textit{so, which is larger then?}\qquad \cfrac{225}{250}~or~\cfrac{230}{250}?

surely you can tell.
3 0
3 years ago
Read 2 more answers
Does anyone know how to factor y^2+49?
Delvig [45]

Answer:

(y + 7i)(y - 7i)

Step-by-step explanation:

It cannot be factored using real numbers, but consider

7i × - 7i

= -49i² and i² = - 1

= 49

The factoring as a difference of squares to obtain

y² + 49 = (y + 7i)(y - 7i)

5 0
3 years ago
Read 2 more answers
What is the constant of proportionality for the graph?
Lelechka [254]

Answer:

k = 5

Step-by-step explanation:

y = kx

10 = 2k

k = 5

3 0
2 years ago
HELPPPPPP this is due tonight!!!!
laiz [17]

Answer:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Step-by-step explanation:

We proceed to solve algebraically and explain each step:

1) 4\cdot x +1 +x + 3 = -11 GIven

2) 4\cdot x +x +1 + 3 = -11 Commutative property

3) (4+1)\cdot x +4 = -11 Distributive property/Definition of addition

4) 5\cdot x +4 = -11 Definition of addition

5) 5\cdot x +4 -4 = -11-4 Compatibility with addition

6) 5\cdot x = -15 Existence of additive inverse/Modulative property

7) \frac{1}{5}\cdot (5\cdot x)= \frac{1}{5}\cdot (-15) Compatibility with multiplication

8) x = - 3 Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Hence, we have the following answers:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

6 0
2 years ago
Find an equation for the line through (-7,7) and parallel to y=2x-3
kaheart [24]

The answer would be B because a line is a parallel as long as the mx remains the same

Hope this helped.

4 0
3 years ago
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