Simplify the problem.

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

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:

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

The integral ſ sin(x - 2) dx is transformed into L 9(t)dt an appropriate change of variable g(t) = -cos(t) + C.

To transform the integral of ſ sin(x - 2) dx into L 9(t)dt by applying an appropriate change of variable,

t = x - 2

To find the limits of integration, to determine the new values of x when t takes its limits.

When t = a (lower limit),

t = x - 2

a = x - 2

x = a + 2

When t = b (upper limit),

t = x - 2

b = x - 2

x = b + 2

express the integral in terms of t:

∫ ſ sin(x - 2) dx = ∫ ſ sin(t) dt

The integral has been transformed into L 9(t)dt.

To determine the function g(t), integrate sin(t) with respect to t:

∫ sin(t) dt = -cos(t) + C

where C is the constant of integration.

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Complete question:

The integral ſ sin(x - 2) dx is transformed into L 9(t)dt by applying an appropriate change of variable, then g(t) is: g(t) = sin )= g(t) = cos .This option This option g(t) = cos (3) g(t) = sin. This option

A)g(t)= -cos(t)+C

B)g(t)=cos(t)+C

C)g(t)=cos(t)-C

D)g(t)=cos(t-2)-C

Answer:  A good estimation would be about 150.

Step-by-step explanation:

To estimate we can round instead of using exact numbers.

First day he saw about 30 birds and twice as many squirrels, meaning about 60 squirrels.  This is about 90 total when added together.

Second day he saw 20 birds and about 40 squirrels so about 60 when added together.

Add day one and day two totals for...

90+60=150

Answer:

25,661.5

Step-by-step explanation:

30160x15%=4528.50

30160-4528.50=25,661.50

Answer:

400 meters

Step-by-step explanation:

50 + 200 + 150 = 400

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]

Step-by-step explanation:

[tex]x + 22 + 3x = 90[/tex]

[tex]4x = 9 0- 22 \\ 4x = 68 \\ x = 17[/tex]

M1

[tex]17 + 22 = 39[/tex]

M2

[tex]3 \times 17 = \\ = 51[/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:

it's 2.0

hope that helps

Answer:

The answer is 352 cubic units

Answer:

The degree of the term is 5

Don't forget to mark me as brainliest

Step-by-step explanation:

Hi,

"To begin, I need to figure out how triangle ABC eventually got to triangle DEF. The first thing I noticed was orientation, the point was not facing the same direction, and right away I knew that there had to be some sort of flip. The triangle ABC was flipped across the y-axis. After that, I also noticed that the triangle was not in the same quadrant. Triangle ABC was in quadrant 2 while triangle DEF was in quadrant 1. So I knew that triangle ABC was translated 2 units down. Even though it looked like the triangle was somehow moved to the right, IT WAS NOT. Since it was flipped, all we had to do was move it 2 units down. That is how I knew that in order for triangle ABC to get to triangle DEF it was flipped and translated 2 units down."

I hope this helps :)

Answer:

x+65°=120°[by alternate interior angle]

x=120°-65°

x=55°

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:

B

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

add them all together and then divide by 5

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

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

The P-value is less than the significance level of 0.01, we reject the null hypothesis and conclude that the medication is effective in lowering blood pressure.

The null hypothesis is that the medication has no effect on blood pressure. The alternative hypothesis is that the medication lowers blood pressure.

The test statistic is the paired t-test. This is because we have two samples of data that are paired together, namely the blood pressure measurements before and after taking the medication.

In this case, the P-value is 0.034. Since the P-value is less than the significance level of 0.01, we reject the null hypothesis and conclude that the medication is effective in lowering blood pressure. The medication is effective in lowering blood pressure.

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Answer:

I need length, width, and height to find the volume, the equation is LxWxH

So it would be L x W x 1 3/4

Step-by-step explanation:

If you comment what the length and width is ill do 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: His house is 43.33334 kilometers

Answer:

Step-by-step explanation:

but is their any answer choices