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3 years ago

Maureen is taking an antibiotic. The table below shows the amount of antibiotic

Mathematics

1 answer:

Tems11 [23]3 years ago

7 0

Answer:

Answer: Maureen's body eliminated the bacteria faster then Ken's as if you multiply 150 times 0.976 you get a number larger then 90 so Ken would have eliminated 150 mg of antibiotics slower then Maureen ;We will use the equation for Ken on Maureen.

Step-by-step explanation:

f(t) =

So, in the first hour,

f(t) = = 195.2 mg

In the second hour,

f(t) = = 190.52 mg

In the third hour,

f(t) = = 186 mg

Now, comparing these values with Maureen's, we can see that she has a faster rate of 150,90,54 in the 1st, 2nd and 3rd hours respectively as compared to Ken.

So, we can conclude that Maureen's body eliminated the antibiotic faster than Ken's body.

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A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag.

scoundrel [369]

Answer:

<em>The price for a 60-ounce bag of popcorn would be $16</em>

Step-by-step explanation:

<u>Function Modeling</u>

The behavior of some parameters that depend on a set of variables can be modeled in several ways, like linear, quadratic, exponential, logarithmic, among many others.

The selection of the model is often a complex decision that involves statistics and data analysis.

The question provides us with four points where the volume of popcorn bags and the price in dollars. The easiest function that can be used is the line.

The equation of a line of the volume V and the price p can be found with the expression

$\displaystyle p-p_1=\frac{p_2-p_1}{V_2-V_1}(V-V_1)$

We'll use the first two values (6,10) (8,20)

$\displaystyle p-6=\frac{8-6}{20-10}(V-10)$

Simplifying and rearranging, we get the model

$\displaystyle p(V)=\frac{1}{5}V+4$

To test the accuracy of the model, we compute the values of p for V=35 and for V=48

$\displaystyle p(35)=\frac{1}{5}(35)+4=11$

$\displaystyle p(48)=\frac{1}{5}(48)+4=13.6$

Since the computed values are equal to those of the table, the model is accurate. We can now predict the price for V=60

$\displaystyle p(60)=\frac{1}{5}(60)+4=16$

The price for a 60-ounce bag of popcorn would be $16

6 0

3 years ago

((((this is multiple choice and i raised the points but you have to pick two))))

nasty-shy [4]

f(x) = 2^(4x)

g(x) = 2^x

(fg) = 2^4x * 2^x = 2^5x

NOTE: When multiplying two powers with same base exponents add.

(f/g)(x) = (2^4x)/(2^x) = 2^3x

NOTE: And when dividing they subtract.

Answer: a and c

//Hope it helps.

3 0

3 years ago

victoria has 100 trading cards. every month she buys 10 more cards. will she have 160 cards in four months?

sveta [45]

Answer:

No, she will have 140 cards in 4 months

Step-by-step explanation:

the equations is:

f(x) = 100 + 10x

now x = 4

f(4) = 100 + 10(4)

f(4) = 100 + 40

f(4) = 140

140 does not = 60

4 0

3 years ago

Read 2 more answers

What is a Theorem? PLEASE HELP!! a A known fact. b Information that seems true but must be proven. c A definition. d A formula.

bezimeni [28]

Answer:

D. A formula

Step-by-step explanation:

If you look at an example of a theorem, let's try Pythagorean Theorem, you can see it is a formula used to find an angle of a triangle, especially a hypotenuse.

8 0

3 years ago

Solve system of linear equation by substitution -x+y=2; 3x-5y=-4

GarryVolchara [31]

Answer:

(-3,-1)

Step-by-step explanation:

-x+y=2

3x-5y=-4

in the top equation, we can get y by itself on one side of the equation:

-x+y=2

y=x+2

now, since we know that y=x+2, in the bottom equation we can substitute x+2 for y (substitution method) and solve:

3x-5y=-4

3x-5(x+2)=-4

3x-5x-10=-4

-2x-10=-4

-2x=6

x=-3

since we now know that x=-3, we can use it to find y by plugging in -3 for x in the top equation (you can do it in either equation, but doing it in the top equation is easier):

y=x+2

y=-3+2

y=-1

answer: (-3, -1)

7 0

3 years ago