Help please I need to answer the questions a. b. c. d. e.
I would appreciate it.


it has to be in order

Answer:

Step-by-step explanation:

(a) x -5 -3 0 2 4

   y 4 0 -6 -10 -14

(d) x -14 -10 -6 0 4

   y 4 2 0 -3 -5

These tables could be used to verify that the functions they represent are inverses of each other

To verify if two functions are inverses of each other, we need to check if the composition of the two functions gives the identity function.

In other words, if f and g are two functions, then we need to check if f(g(x)) = x and g(f(x)) = x for all x in their domains.

We can create two tables, one for f and one for g, and use them to compute the compositions.

If the compositions give the identity function, then the functions are inverses of each other.

Based on this, the two tables that could be used to verify that the functions are inverses of each other are:

(a) x -5 -3 0 2 4

    y  4 0 -6 -10 -14

(d) x -14 -10 -6 0 4

    y 4    2   0 -3 -5

We can use the values in these tables to compute the compositions f(g(x)) and g(f(x)) and check if they give the identity function.

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Answer:

5 sides

Step-by-step explanation:

the sum of the interior angle and exterior angle = 180°

sum the parts of the ratio, 2 + 3 = 5 parts , then

180° ÷ 5 = 36° ← value of 1 part of the ratio

exterior angle = 2 × 36° = 72°

the sum of the exterior angles of a polygon = 360°

since the polygon is regular then the exterior angles are congruent , so

number of sides = 360° ÷ 72° = 5

a. The concentration would be 0.5 mg/L at approximately t = 40 hours.

b. The table representing the concentration of the drug in the bloodstream, t hours after administration is shown below.

c. A reasonable domain for this function is t ≥ 0.

d. The patient should receive the next intravenous dose of the drug in order to maintain a concentration above 1 mg/L and below 8 mg/L at t = 1.25 hour.

e. The concentration of the oral drug and the concentration of the intravenous drug would keep increasing over the first 20 hours after it is administered.

In order to determine the time when the concentration would be 0.5 mg/L, we would substitute the value of the concentration and then solve the quadratic function for time (t);

c(t) = 20t/(t² + 4)

0.5 = 20t/(t² + 4)

0.5(t² + 4) = 20t

0.5t² + 2 = 20t

0.5t² + 2 - 20t = 0

t² + 4 - 40t = 0

t² - 40t + 4 = 0

Time, t = 38.8998 ≈ 40 hours.

Part b

In this context, we would complete the table of values at various time (t) as follows;

t        0    2      4     6       8           10        12        14     16        18      20

c(t)    0    5      4      3     2.35      1.92     1.62     1.4    1.23     1.10    1.00

Part c

Since the concentration of the drug at time, t = 0 is equal to 0 mg/L and the concentration actually never becomes zero (0) for any value of time (t), we can reasonably infer and logically deduce that a reasonable domain for this quadratic function is t ≥ 0 or {0, ∞}.

Part d and e

Furthermore, the intravenous drug must be administered to the patient between the time interval 1.25 ≤ t ≤ 20 in order to maintain a concentration above 1 mg/L and below 8 mg/L.

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The calculated value of the probability P(B|A) is  (d) 5/8

From the question, we have the following parameters that can be used in our computation:

Given that the digits are non-zero digits and no two digits are the same, then we have

P(A) = 4/9

Also, we have

P(B) = 5/8

The probabilty is then calculated as

P(B|A)  = P(B)

So, we have

P(B | A) = 5/8

Hence, the value of the probability P(B|A) is  (d) 5/8

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Answer:

B

Step-by-step explanation:

B is the equation for a circle.  In a function every input (x value) has only one output (x value).  In a circle, the x values have more than one y value.

Helping in the name of Jesus.

Answer:

your answer is B

Step-by-step explanation:

have a nice day and can you mark me Brainliest.

Answer:

28 cm

Step-by-step explanation:

Just add them all up bloke

let's firstly convert the mixed fraction to improper fraction and proceed from there.

[tex]\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}\div \left(\cfrac{3}{8}\div \cfrac{1}{2} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{8}\cdot \cfrac{2}{1} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{4} \right) \\\\\\ \cfrac{9}{4}\cdot \left(\cfrac{4}{3} \right)\implies \cfrac{9}{3}\cdot \cfrac{4}{4}\implies 3\cdot 1\implies \text{\LARGE 3}[/tex]

Answer:

1st one is 14 2nd one is 12 and the 3rd one is 30 your welcome

Answer:

12

Step-by-step explanation:

[tex]18 = \frac{n}{3} + 14[/tex]

[tex]4 = \frac{n}{3} [/tex]

12 = n

The value of variable n in the equation is 54.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Therefore, let's solve the equation as follows:

We will have to find the variable n in the equation. A variable is a number represented with letter in an equation.

18 = n / 3 + 14

subtract 14 from both sides of the equation

18 = n / 3 + 14

18 - 14 = n / 3 + 14 - 14

18 = n / 3

cross multiply

n = 18 × 3

n = 54

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Answer:

To find the prime factorization of 28, you should break the number down into its smallest prime factors:

28 = 2 × 2 × 7

So, the prime factors of 28 are: 2 and 7.

Answer:

1/2 or 50%

Step-by-step explanation:

Numbers on a 6 sided die:

1

2

3

4

5

6

Factors of 28 that are on a 6 sided die:

1

2

4

So you have a 3/6 = 1/2 = 50% chance of rolling a factor of 28

The best answer is a. chronological, topical.

the organization type would change from topical to categorical.

In the original outline, the organization of the speech follows a chronological order, where the steps to prepare for a job interview are presented in a sequential manner. Each step builds upon the previous one, creating a logical flow.

If the four main points were changed to part-time job interviews, summer job interviews, college entrance interviews, and full-time job interviews, the organization would still follow a chronological order. Each main point would represent a different type of interview, and within each point, the subpoints would address the specific considerations for that type of interview.

Therefore, the organization type remains chronological, even if the specific content changes.

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Answer:

(x - 3)² - 6

Step-by-step explanation:

using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 6x

x² + 2(- 3)x + 9 - 9 + 3

= (x - 3)² - 9 + 3

= (x - 3)² - 6 ← in the form (x - a)² + b

The volume of the prism is 242 in³

First, we need to know the formula for the volume.

The formula for calculating the volume of a triangular prism is expressed as;

V = Bh

Such that the parameters are expressed as;

From the information given, we have that;

Line DF = 22 in

Line EG = 11 in

Where DF is the base length and EG is the height

Substitute the values

Volume = 22(11)

multiply the values

Volume = 242 in³

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Answer:

coordinates of P are (2, 1).

Step-by-step explanation:

Let P be the point that partitions the line segment AB such that AP: PB = 2:1.(m:n) Then we can use the line ratio formula:

[tex]\bold{x = \frac{xB * m + xA*n}{m + n}}[/tex]

[tex]\bold{y = \frac{yB * m + yA*n}{m + n}}[/tex]

where (xA, yA) and (xB, yB) are the coordinates of A and B respectively, and m is the ratio of AP to PB, which is 2:1.

Substituting the given values, we get:

[tex]\bold{x = \frac{4*2+ (-2)*1}{2 + 1}}=2[/tex]

[tex]\bold{y = \frac{0 * 2 + 3*1}{2 + 1}= 1}[/tex]

Therefore, the coordinates of P are (2, 1).

Answer:

(2, 1)

Step-by-step explanation:

If the line segment AB is partitioned so that the ratio of AP to PB is 2 : 1, then point P is two-thirds of the way along AB.

Point A is located at (-2, 3) and point B is located at point (4, 0).

Since the difference between the x and y values of points A and B are multiples of 3, we can visually partition AB into 3 sections of equal length by placing points at (0, 2) and (2, 1).

Therefore, as point P is two-thirds of the way along AB, point P is located at (2, 1).

To prove this mathematically, we can use the Section Formula for Internal Division:

[tex]\boxed{\begin{minipage}{8.1 cm}\underline{Section Formula - Internal Division}\\\\\\$P(x,y)=\left(\dfrac{nx_1+mx_2}{m+n},\dfrac{ny_1+my_2}{m+n}\right)$\\\\\\where:\\\phantom{ww} $\bullet$ $\overline{AB}$ is the directed line segment.\\\phantom{ww} $\bullet$ $A(x_1, y_1)$ and $B(x_2, y_2)$ are the endpoints.\\\phantom{ww} $\bullet$ Point $P$ divides the segment in the ratio $m : n$.\\ \end{minipage}}[/tex]

Given values:

Substitute the values into the formula:

[tex]\begin{aligned}P(x,y)&=\left(\dfrac{nx_1+mx_2}{m+n},\dfrac{ny_1+my_2}{m+n}\right)\\\\&=\left(\dfrac{1 \cdot (-2)+2 \cdot 4}{2+1},\dfrac{1 \cdot 3+2 \cdot 0}{2+1}\right)\\\\&=\left(\dfrac{-2+8}{3},\dfrac{3+0}{3}\right)\\\\&=\left(\dfrac{6}{3},\dfrac{3}{3}\right)\\\\&=\left(2,1\right)\end{aligned}[/tex]

Hence proving the the location of point P on the coordinate plane is (2, 1).