Find the mean of the following set of numbers. 23, 34, 57, 68, 89

a) The initial concentration of levofloxacin (represented by C(x)) in the bloodstream is higher than the initial concentration of metronidazole (represented by D(x))

b) There is no algebraic solution for when C(x) = D(x) in this situation.

c) The graph of (C+D)(x) would show a steeper increase and higher values compared to the individual graphs of C(x) and D(x), indicating a higher concentration of the drugs when taken together.

a) The initial concentration of a drug in the bloodstream can be determined by evaluating the functions C(x) and D(x) at x = 0. Plugging in x = 0 into both functions, we find that C(0) = 5log(0 + 1) + 10 = 5log(1) + 10 = 5(0) + 10 = 10, and D(0) = 10log(0 + 1) + 5 = 10log(1) + 5 = 10(0) + 5 = 5. Therefore, the initial concentration of levofloxacin (represented by C(x)) in the bloodstream is higher than the initial concentration of metronidazole (represented by D(x)).

b) To find when C(x) = D(x), we set the two functions equal to each other and solve for x: 5log(x + 1) + 10 = 10log(x + 1) + 5. Subtracting 10log(x + 1) from both sides, we get 5log(x + 1) - 10log(x + 1) = 5. Simplifying, we have -5log(x + 1) = 5. Dividing by -5, we find log(x + 1) = -1. This equation can be rewritten in exponential form as 10^(-1) = x + 1, which simplifies to 0.1 = x + 1. Subtracting 1 from both sides, we get x = -0.9. However, since time cannot be negative, there is no solution to the equation. Therefore, there is no algebraic solution for when C(x) = D(x) in this situation.

c) The graph of (C+D)(x) would represent the combined concentration levels of both antibiotics when taken together. It would differ from the individual graphs of C(x) and D(x) by showing a higher overall concentration. Since (C+D)(x) is the sum of the two individual functions, the resulting graph would be the sum of their concentrations at each point in time. This means that at any given time, the concentration of the combined antibiotics would be the sum of the concentrations of levofloxacin and metronidazole at that time. The graph of (C+D)(x) would show a steeper increase and higher values compared to the individual graphs of C(x) and D(x), indicating a higher concentration of the drugs when taken together.

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Answer:

The answer is 352 cubic units

Answer:

1. x = 3

2. (1, 0)

3. x = 3, -2

4. 144

5. -3 + 4√3

Step-by-step explanation:

Answer:

Solution given:

we have

<A+<B=exterior <C[sum of two opposite interior angle of a triangle is equal to the exterior angle in a triangle]

So

3x-13+ 2x+4=116°

5x-9=116°

5x=116°+9°

x=125/5

x=25

Now

<A=3×25-13=62°

<B=2×25+4=54°

Answer:

[tex]3x - 13 + 2x + 4 = 166 \\ 5x - 9 = 116 \\ 5x = 166 + 9 \\ 5x = 125 \\ x = \frac{125}{5} \\ x = 25 \\ \\ a = 3 \times 25 - 13 = 62 \\ b = 2 \times 25 + 4 = 54[/tex]

Answer:

400 meters

Step-by-step explanation:

50 + 200 + 150 = 400

Answer:

The degree of the term is 5

Don't forget to mark me as brainliest

Answer:

Option D

is the correct....

Ik this is late, but people who are looking for the answer can see this.

Answer:

an =1/3*6^n-1

Step-by-step explanation:

You should plug in 2 for n in each equation, which, the correct one should give you 2. Then, to make sure, you plug in 3 in the equations that gave you 2.

Example:

an = 1/3 * 6 ^n-1

Plug in 2.

an = 1/3 * 6 ^2-1

an = 1/3 * 6 ^1

1/3 * 6 = 2

Step 2.

an = 1/3 * 6 ^3-1

an = 1/3 * 6 ^2

1/3 * 36 = 12

Hope this helps.

The correct equation which can be used to find the nth term of the sequence, an is,

⇒ a (n) = 1/3 × 6ⁿ⁻¹

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

In a geometric sequence,

⇒ a₂ = 2, a₃ = 12 and a₄ = 72

Now, From option 3;

The equation is,

⇒ a (n) = 1/3 × 6ⁿ⁻¹

Put n = 2

⇒ a (2) = 1/3 × 6²⁻¹

⇒ a (2) = 1/3 × 6

⇒ a (2) = 2

Hence, This is the correct equation which can be used to find the nth term of the sequence, an.

Thus, The correct equation which can be used to find the nth term of the sequence, an is,

⇒ a (n) = 1/3 × 6ⁿ⁻¹

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1. y= -5

2. m=0

3. I dont know

1. 3x+4y=-20

x=0

3×0+4y=-20

0+4y=-20

y=-5

2. m=y/x

m=0/1

m= 0

3. Sorry

Answer:

25,661.5

Step-by-step explanation:

30160x15%=4528.50

30160-4528.50=25,661.50

Answer:

C 14

Step-by-step explanation:

Answer:

Step-by-step explanation:

but is their any answer choices

The depreciation expense for 2022, based on the purchase price for the computer of $8,600, the revised estimate in 2022, using the straight-line method is $2,410 per year

The straight-line depreciation method is method for calculating the depreciation of an asset in which the value of the asset is uniformly reduced within each period until the salvage value of asset is reached.

The depreciation on the computer = $8,600 - $900 = $7,700

The annual depreciation rate for the computer in the first two years, using the straight line depreciation method is; $7,700/5 = $1,540 per year

The depreciation of the computer by the end of 2021 = 2 × $1,540 = $3,080

Therefore, the net book value of the computer at the end of 2021 = $8,600 - $3,080 = $5520

The estimates are revised with Pharoah expecting to use the computer until December 2022, to sell for $700, therefore;

The revised depreciable amount for the computer = $5,520 - 700 = $4,820

The revised depreciation rate for the years, 2022 and 2023 is therefore;

Depreciation = $4,820/2 = $2,410 per year

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Answer:

Step-by-step explanation:

The pair members cannot be multiplied. Look at the last numbers that are prime starting with eleven

What are you going to pair these primes with

11 13 17 19

So they must be added (or maybe subtracted).

1 19

2 18

3 17

4 16

5 15

6 14

7 13

8 12

9 11

and 20 which no matter how you do this, there will be 1 card left over.

Each of them adds to 20 so the LCM is 20

Answer:

No, they are not equivalent.

Step-by-step explanation:

j + j + j + j = 4j

j^4

Let's say j = 2

4j = 8

j^4 = 16

Answer:

NO

Step-by-step explanation:

j+j+j+j

remember multiplication is repeated addition!

j+j+j+j = 4j

THIS IS DIFFERENT! powers are repeated MULTIPLICATION.

j^4 = j to the power of 4 = j * j * j * j, NOT j+j+j+j !!!!!

The equation of the circle graphed below is (x - 2)² + (y + 3)² = 25.

To determine the equation of a circle, we need the center and the radius of the circle. In the graph below, the center appears to be at (2, -3) and the radius appears to be 5.

Therefore, we can use the standard equation of a circle,

which is (x - h)² + (y - k)² = r²,

where (h, k) is the center of the circle and r is the radius.

Substituting the values of the center and radius, we obtain the equation of the circle as follows:(x - 2)² + (y + 3)² = 25

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Answer:

it's 2.0

hope that helps

Answer:

[tex]y(x+21)[/tex]

Step-by-step explanation:

[tex]7(2x+3y)-x(14-y)\\=14x+21y-14x+xy\\= 21y+xy\\= y(x+21)[/tex]

Answer:

1. 30

Step-by-step explanation:

First, place the numbers from least to greatest.

11,13,23,37,45,58

Then, find the middle number (or two middle numbers).

In this case, the middle numbers are 23 and 37.

Third, we find the mean of these numbers.

23+37=60

60/2=30

So your answer is 30.

Repeat this method for the other problems.

Answer:

3 tires per hour

Step-by-step explanation:

Bernard works for a business that sells and repairs tires. He can repair 24 tires in an 8 hour work day. What is Bernard's unit rate for the number of tires repaired in one hour?

Number of tires repaired per day = 24 tires

Number of time used to repair tire per day = 8 hours

What is Bernard's unit rate for the number of tires repaired in one hour?

Number of tires repaired in one hour = Number of tires repaired per day / Number of time used to repair tire per day

= 24 tires / 8 hours

= 3 tires per hour

The unit rate for the number of tires repaired in one hour is 3 tires per hour

Answer

180 - x

Step-by-step explanation:

opposite angles of a quadrilateral inscribed in a circle are supplementary

Answer:

180-x !!!

Step-by-step explanation:

i had some time to think about it

Answer:

xr 30 degrees

Step-by-step explanation:

the angles always add up to 180 sooo

53+97=150

180-150=30

there's how u solve these kinds of problems

hope this helps

Answer: [tex]\dfrac{127}{990}[/tex].

Step-by-step explanation:

Let x=0.1282828...

Multiply 10 on both sides , we get

10 x = 1.282828...         (i)

Now multiply 100 on both sides , we get

1000x=128.2828...          (ii)

Eliminate (i) from (ii), we get

[tex]990x=127\\x=\dfrac{127}{990}[/tex]

Hence, the required [tex]\dfrac{p}{q}[/tex] form: [tex]\dfrac{127}{990}[/tex].