A medication is administered to a patient and the
concentration of the medication in the
bloodstream is monitored. At time t> 0 (in hours
since giving the medication) the concentration, in
mg/L. is modeled by the graph of the rational
function on the right. Approximately when does
the medication reach half of its highest
concentration in the patient's bloodstream?
1 hour
1 hour, 15 minutes
3 hours
3 hours, 45 minutes

Answer:

C none of the above

Step-by-step explanation:

x + z + y

is not going to be equal to x + y - z

Its like saying 10 + 5 - 4 = 11

To 10 + 5 + 4, they are not going to be equal

Answer:

C none of the above

Step-by-step explanation:

Answer:

  13/10

Step-by-step explanation:

13/10 = 1.30 is a number between 1.25 and 1.50.

Answer:

The answer is 2

Step-by-step explanation:

4 + (-2) = 2

Answer:

2

Step-by-step explanation:

Given the expression : a + (-b)

where a = 4 and b = 2

Therefore: a + (-b) = 4 + (-2)

=4 - 2

= 2

Answer:

I think the answer is C

Step-by-step explanation:

from looking at the graph and how the lins intercept

Answer:

C is the correct answer.

Step-by-step explanation:

The quotient is [tex]\frac{3(y-5)}{2}[/tex]

Explanation:

The expression is [tex]\frac{2 y^{2}-6 y-20}{4 y+12} \div \frac{y^{2}+5 y+6}{3 y^{2}+18 y+27}[/tex]

Now, reciprocal the term [tex]\frac{y^{2}+5 y+6}{3 y^{2}+18 y+27}[/tex] and convert ÷ to ×

[tex]\frac{2 y^{2}-6 y-20}{4 y+12} \times \frac{3 y^{2}+18 y+27}{y^{2}+5 y+6}[/tex]

Taking the common terms out, we get,

[tex]\frac{2\left(y^{2}-3 y-10\right)}{4(y+3)} \times \frac{3\left(y^{2}+6 y+9\right)}{y^{2}+5 y+6}[/tex]

Factorizing each numerator and denominator, we get,

[tex]\frac{2(y-5)(y+2)}{4(y+3)} \times \frac{3(y+3)(y+3)}{(y+3)(y+2)}[/tex]

Multiplying the terms, we have,

[tex]\frac{6(y-5)(y+2)(y+3)^{2}}{4(y+3)^{2}(y+2)}[/tex]

Cancelling the common factors, we get,

[tex]\frac{3(y-5)}{2}[/tex]

Thus, the quotient is [tex]\frac{3(y-5)}{2}[/tex]

Answer:

B

Step-by-step explanation:

On edge 2021

Answer:

c

Step-by-step explanation:

c

Answer:

distributive property

Dist. can be identified by x(y+z)

Answer:

6 seconds

Step-by-step explanation:

1/12 mile * 5280 feet/mile = 440 feet per train

50 miles/hour * 1/3600 hr/sec * 5280 ft/mile = 73 1/3 ft/second

one train has to travel 440 feet to pass the other train

440 feet * 1/(73 1/3) sec/ft = 6 seconds

The time it will take for the two trains to pass each other's rear car is 6 seconds.

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

Two passenger trains travelling in opposite directions meet and pass each other. Each train is 1/12 miles long and is traveling 50 mph.

Therefore, the total distance that the two train needs to cover is twice the size of a train.

Distance = 2 × 1/12miles = 1/6 miles

Also, the relative speed of the two trains moving in opposite directions is,

Speed = 50 mph + 50 mph = 100 mph

Now, the time that the two trains need to cover the entire distance is,

Time = (1/6 miles)/ 100mph = 1/600 hours

Converting the time to seconds,

Time = 1/600 hours × 3600 = 6 seconds

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Step-by-step explanation:

so to find out how long you would first do 60-30 as this is how many extra minutes they workout. the answer is 30.

then you would divide 30 by 2 that makes 15 as there is 2 people then you would add 15 to 30 and you get 45

45mins on treadmill

freehand=60-45=15

60-30=30

30÷2=15

15+30=45

60-45=15

part A:

freehand=f

treadmill=t

x=y+30

that is what i believe the eqation is

D.1998-2000

Step-by-step explanation:

Deflation describes the drop of prices for goods and services leading to slowing down of economic growth.During economic uncertainty, prices of goods and services can get very low causing the inflation rate to go lower than zero.CPI index shows inflation when it rises over a short period of time.CPI declines to mean deflation where there is a steady decrease in prices of goods and services.

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it had to be b cuz now all quadrilateral have straight sides

Answer:

(x-8)/10

Step-by-step explanation:

-------

(X - 8)/10 or (8 -X)/10

The unknown number can be given as X

The difference between the number and 8 can be given as 8 -X or X - 8

The dividing it by 10 will give (x-8)/10 or (8-x)/10 depending on the value of the unknown number X

Final answer:

After using 4 1/4 yards out of 5 3/4 yards of cloth to make curtains, 1 1/2 yards of cloth remain.

Explanation:

You are provided with 5 3/4 yards of cloth and you use 4 1/4 yards for making curtains. To find out how much cloth remains, you need to subtract the amount used from the total amount provided. You perform the subtraction by converting the mixed numbers to improper fractions or by subtracting the whole numbers and fractions separately.

First, subtract whole numbers:

Next, subtract the fractions:

Combine the whole number and the fraction for the final answer:

========================================

Work Shown:

3(x+9)-2

3*x+3*9 - 2 ..... distribute

3x+27-2 .... multiply

3x+25 .... combine like terms

Answer:3x+25

Step-by-step explanation:

Answer:

n-21=31

Step-by-step explanation:

Just read it carefully, it is worded weirdly, but just think about it.

Answer:

52

Step-by-step explanation:

n-21=31

n=31+21

n=52

Answer:

67000*.15=10,050

Step-by-step explanation:

The required down payment would be the amount of $10,050.

The percentage is defined as a ratio expressed as a fraction of 100.

Anna wants to buy a house for $67,000.

She will need a down payment of 15%.

We have to determine the evaluation of 15% of $67,000.

⇒ 15% of 67,000

15%  is expressed as 15/100 in fractional form

⇒ (15/100)(67,000)

15/100  is expressed as 0.15 in decimal form

⇒ (0.15)(67,000)

Apply the multiplication operation, and we get

⇒ 10,050

Therefore, the down payment would be $10,050.

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Answer:

Step-by-step explanation:

Time taken = 9.77/100 = 0.0977 seconds

4. take 110-80/4-2, this gives you 30/2, which is then 15. Therefore it is 15 dollars per hour

she drinks 9/2 ounces of water in 1 hour

Step-by-step explanation:

On average, the person drinks 1/2 of a 6-ounce glass of water in 2/3 hour.

First of all, we have to rewrite the amount of water in a single fraction: we have

[tex]\frac{1}{2}\cdot 6 = \frac{6}{2}=3[/tex]

This means that the person drinks 3 ounces of water every 2/3 hours.

In order to find how much water she drinks in one hour, we use the following proportion:

[tex]\frac{3}{2/3}=\frac{x}{1}[/tex]

where

x is the amount of water she drinks in one hour.

Solving the equation for x,

[tex]x=\frac{3\cdot 1}{2/3}=\frac{3\cdot 1 \cdot 3}{2}=\frac{9}{2}[/tex]

Therefore, she drinks 9/2 ounces of water in 1 hour.

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Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}x-3y=15\\3x-9y=45\end{array}\right\\\\\text{Divide both sides of the second equation by 3}\\\\\dfrac{3x}{3}-\dfrac{9y}{3}=\dfrac{45}{3}\\\\x-3y=15\\\\\text{We received the same equation as the first.}\\\\\bold{CONCLUSION}\\\\\text{The system of equations has infinitely many solutions.}[/tex]

[tex]\left\{\begin{array}{ccc}a_1x+b_1y=c_1\\a_2x+b_2x=c_2\end{array}\right\\\\\text{If}\ a_1=a_2,\ b_2=b_2,\ c_1=c_2,\ \text{then the system of equations}\\\text{ has infinitely many solutions}\\\\\text{If}\ a_1=a_2,\ b_1=b_2,\ c_1\neq c_2,\ \text{then the system of equations}\\\text{has no solutions}\\\\\text{Other the system of equations has one solution.}[/tex]

The 3 inside angles need to equal 180.

Subtract E from 180 to find the sum of the other two angles:

180 - 104 = 76

Now because EF ≅ DE , angle D and F would be the same so divide 76 by 2

Angle D = 38

Answer:

133%

Step-by-step explanation:

24/18=4/3=1.33...=133%

Answer:

75%

Step-by-step explanation:

because it = 18/24 or 75%

Answer: 75%

Step-by-step explanation:

Height given :

69, 62, 73, 67, 63, 65, 73, 71, 70, 66, 59, 75

The total number of height given = 12

The height less than 73 are 69 , 62, 67 ,63 , 65 , 71 , 70 , 66 , 59

The total number of heights less than 73 = 9

Therefore : the percentage of these students who are shorter than 73 inches = total number of students shorter than 73/ total number of height x 100

= 9/12 x 100

= 75%

About 75% of the students are shorter than 73 inches. This was determined by counting the number of students shorter than 73 inches (9 students) and dividing by the total number of students (12 students), then multiplying by 100%

To calculate the percentage of students shorter than 73 inches, you first need to count how many students are shorter than 73 inches. From the given data, the heights of the students shorter than 73 inches are 69, 62, 67, 63, 65, 71, 70, 66, and 59. Thus, there are 9 students out of 12 who are shorter than 73 inches.

Now, to get the percentage, you divide the number of shorter students by the total number of students, and then multiply the result by 100. This is how it looks: (9/12)*100% = 75%. Thus, 75% of these students are shorter than 73 inches.

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Final answer:

The weight of each bag of equal weight is 1 17/20 kg and the weight of the third bag is 1 41/20 kg.

Explanation:

Let's assume the weight of each bag of equal weight is x kg. According to the question, the third bag is heavier than each of the equal bags by 1 1/5 kg, which can be written as 6/5 kg.

So, the weight of the third bag is x + 6/5 kg.

Now, we can set up an equation based on the given information:

2x + (x + 6/5) = 6 3/4

Simplifying the equation, we get:

3x + 6/5 = 27/4

Now, we can solve for x by multiplying both sides of the equation by 5 to get rid of the fraction:

15x + 6 = 135/4

15x = 135/4 - 6

15x = 135/4 - 24/4

15x = 111/4

Now, divide both sides of the equation by 15 to solve for x:

x = (111/4) / 15 = 111/60 = 37/20 = 1 17/20

Hence, the weight of each bag of equal weight is 1 17/20 kg and the weight of the third bag is 1 17/20 + 6/5 = 1 17/20 + 24/20 = 1 41/20 kg.

Final answer:

To determine if a triangle can be formed given three side lengths, apply the triangle inequality theorem by comparing the sum of any two sides to the length of the remaining side. Option B and option D would give triangles.

Explanation:

To determine if a triangle can be formed given the measures of three sides, we need to apply the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.

Let's examine each given set of side lengths:

A. 2cm, 4cm, 8cm: In this case, 2cm + 4cm = 6cm, which is less than 8cm. So, a triangle cannot be formed with these side lengths.

B. 3cm, 4cm, 6cm: Here, 3cm + 4cm = 7cm, which is greater than 6cm. The sum of any two sides is always greater than the third side, so a triangle can be formed with these side lengths.

C. 4cm, 5cm, 10cm: In this case, 4cm + 5cm = 9cm, which is less than 10cm. So, a triangle cannot be formed with these side lengths.

D. 5cm, 6cm, 12cm: Here, 5cm + 6cm = 11cm, which is greater than 12cm. The sum of any two sides is always greater than the third side, so a triangle can be formed with these side lengths.

Therefore, option B (3cm, 4cm, 6cm) and option D (5cm, 6cm, 12cm) would give triangles.

Answer:

[tex]x=-50[/tex]

Step-by-step explanation:

we have

[tex]\frac{x}{5} =-10[/tex]

Solve for x

That means ----> isolate the variable x

Multiply by 5 both sides to remove the fraction

[tex]\frac{x}{5}(5) =-10(5)[/tex]

Simplify

[tex]x=-50[/tex]

Step-by-step explanation:

firstly there is hole in the ozone

secondly i believe it is because of the axis of the earth and that the raidiation to coming to the equator not the poles

Answer:

[tex]\left[\begin{array}{ccc}-25&\dfrac{75}{2}&-\dfrac{25}{2}\end{array}\right][/tex]

Step-by-step explanation:

In the first equality

[tex]5\times \left[\begin{array}{cc}-1&2\\4&8\end{array}\right] =\dfrac{2}{5}m\times \left[\begin{array}{cc}-1&2\\4&8\end{array}\right],[/tex]

the matrices in both parts are the saem. The equality will be true if the same matrices are multiplied by the same numbers, so

[tex]5=\dfrac{2}{5}m\Rightarrow m=5\times \dfrac{5}{2}=\dfrac{25}{2}[/tex]

For the second equality

[tex](H+[1\ 4\ -2])+[3\ 2\ -6]=[-2\ 3\ -1]+([1\ 4\ -2]+[3\ 2\ -6]),[/tex]

if [tex]H=[-2\ 3\ -1][/tex], then this equality represents the assotiative property of matrix addition.

Hence,

[tex]m\times H=\dfrac{25}{2}\times [-2\ 3\ -1]=\left[\begin{array}{ccc}-25&\dfrac{75}{2}&-\dfrac{25}{2}\end{array}\right][/tex]