a certain antihistamine is often prescribed for allergies. a typical dose for a 100-pound person is 21 mg every 6 hours.
a. how many 12.7 mg chewable tablets would be taken in a week?
b. this antihistamine also comes in a liquid form with a concentration of 12.7 mg / 6 ml following the prescribed dosage how much liquid antihistamine should a 100-pound person take in a week?​

Answer:

Option B will be your answer

Step-by-step explanation:

hope it helps

Answer:

slope = y2-y1

______

x2-x1

= -9+2

_____

3+6

= 6

____

9 2/3

Answer: x = 50

Concept:

Here, we need to know the idea of alternative interior angles and the angle sum theorem.

Alternative interior angles are angles that are formed inside the two parallel lines, and the values are equal.

The angle sum theorem implies that the sum of interior angles of a triangle is 180°

If you are still confused, please refer to the attachment below or let me know.

Step-by-step explanation:

Given information:

AC ║ DE

∠ABC = 85°

∠A = 135°

Find the value of ∠BAC

∠A + ∠BAC = 180° (Supplementary angle)

(135°) + ∠BAC = 180°

∠BAC = 45°

Find the value of ∠BCA

∠ABC + ∠BAC + ∠BCA = 180° (Angle sum theorem)

(85°) + (45°) + ∠BCA = 180°

∠BCA = 50°

Find the value of x (∠EBC)

∠EBC ≅ ∠BCA (Alternative interior angles)

Since, ∠BCA = 50°

Therefore, ∠EBC = 50°

\(\Large\boxed{x=50}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

1+5+7+10=23

hope that's what u meant?

Answer:

✔ 2/10 + 7/10

✔ 9/10

Step-by-step explanation:

The distance from the midpoint of the hypotenuse of any vertex is:

\(\sqrt{(0-a)^2 +(2b - b)^2} \\\)   = \(\sqrt{(2a - a)^2 +(0 -b)^2}\)

= \(\sqrt{a-0)^2 + (b -0)^2}\)

Right Angle Triangle:

A right triangle is a triangle with one of its angles 90 degrees. An angle of 90 degrees is called a right angle, so a triangle with a right angle is called a right triangle. In this triangle, we can use the Pythagorean law to easily understand the relationship of the various sides. The side opposite the right angle is the largest side and is called the hypotenuse.

In a right triangle we have:

                  (Hypotenuse)2 = (Base)2 + (Altitude)2

Mid point Theorem:

The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half the length of the third side. This theorem is used in many places in real life. For example, if we don't have a measuring tool, you can use the midpoint theorem to cut a bar in half.

If we have a line segment whose endpoint coordinates are given by

(x₁, y₁) and (x₂, y₂), we can find the coordinates of the midpoint of the line segment using the following formula:

Let (xₙ , yₙ ) Coordinates of the midpoint of the segment. Then

(xₙ, yₙ) = ( (x₁+ x₂/2 , (y₁ + y₂)/2 )

This is known as the midpoint theorem.

According to the Question:

Suppose that we have two points (x₁ ,y₁)  and (x₂, y₂). The distance between them is given by:

D = \(\sqrt{(x_2-x_1)^2 + (y_2- y_1)^2 }\)

Hence the distance from the midpoint of the hypotenuse to any vertex is given by:

    \(\sqrt{(0-a)^2 +(2b - b)^2} \\\)

= \(\sqrt{(2a - a)^2 +(0 -b)^2}\)

= \(\sqrt{a-0)^2 + (b -0)^2}\)

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Answer:

\( {x}^{3} \)

Step-by-step explanation:

\( \frac{ {x}^{5} }{ {x}^{2} } = \frac{ {x}^{3} \times {x}^{2} }{ {x}^{2} } = {x}^{3} \)

I hope I helped you^_^

Answer:

8 27/28 or 251/28

Step-by-step explanation:

Find common denominators then simply add.

Answer:

third angle = (-6x + 161)°

Step-by-step explanation:

180° = (x)° + (5x + 19)° + third angle →

180° = (6x + 19)° + third angle →

180° – (6x + 19)° = (6x + 19)° + third angle – (6x + 19)° →

180° – (6x + 19)° = third angle →

180° + -(6x + 19)° = third angle →

180° + (-6x)° + (-19)° = third angle

180° – 6x° – 19° = third angle

(180° – 19°) – 6x° = third angle

161° – 6x° = third angle

third angle = 161 – 6x°

third angle = -6x° + 161°

third angle = (-6x + 161)°

Answer:

x^3+19x^2+119x+245

Step-by-step explanation:

The required value of function (f:g)(x) would be (x + 5) which is the ratio of function f(x) and g(x).

The quadratic equation is defined as a function containing the highest power of a variable is two.

Given that f(x) = x² + 12x + 35 and g(x) = x + 7

As per the question,

⇒ (f:g)(x) = (x² + 12x + 35) : (x + 7)

⇒ (f:g)(x) = (x² + 12x + 35) / (x + 7)

Solve the above quadratic equation, and we get

⇒ (f:g)(x) = (x² + 5x + 7x + 35) / (x + 7)

⇒ (f:g)(x) = x(x + 5) + 7(x + 5) / (x + 7)

⇒ (f:g)(x) = (x + 5)(x + 7) / (x + 7)

⇒ (f:g)(x) = (x + 5)

Therefore, the required value of function (f:g)(x) would be (x + 5).

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Answer:

5/1

Step-by-step explanation:

the y is 5units and the x is 1unit

Answer:

7/4

Step-by-step explanation:

Use rise over run to solve

4-(-3)         7

-------- =      -

6-2            4

Answer:

the answer is -4.

Step-by-step explanation:

Simplify the expression.

Answer:

(b) 4x^2(2x – 3)(x + 6)

Step-by-step explanation:

on edg

Answer:

Not A

Not B

Not C

D is the answer.

Step-by-step explanation:

Answer:

No, the statement does not represent an exponential function.

Step-by-step explanation:

The population, y, starts with k wolves at year x = 0.

After 1 year, x = 1, the population, y, is k + 25.

After 2 years, x = 2, the population, y, is k + 50.

After 3 years, x = 3, the population, y, is k + 75.

The change each year is 25. For an equal change in x, 1, you get an equal change in y, 25. This is a linear function.

The function of the population is

y = 25x + k

Answer: No, the statement does not represent an exponential function.

Answer:

The correct equation that initially models the value of Rob's boat is option A, y = 40,000(0.93)*.

Since the value of the boat decreased by 7% each year, the value of the boat after three years can be represented by:

y = 40,000(0.93)^3

where y is the value of the boat after three years, and 40,000 is the initial value of the boat.

Simplifying this equation, we get:

y = 40,000(0.7951)

y = 31,804

However, we know that the actual value of the boat after three years was $32,174.28. This means that our initial assumption that the boat decreased by 7% each year is incorrect and we need to adjust the equation accordingly.

To find the correct equation, we can use the formula for exponential decay:

y = a(1 - r)^t

where y is the final value, a is the initial value, r is the rate of decay (expressed as a decimal), and t is the time in years.

In this case, we know that the final value of the boat is $32,174.28, and that the boat was owned for three years. We also know that the value of the boat decreased by 7% each year.

So we can set up an equation:

32,174.28 = 40,000(0.93)^3

Simplifying this equation, we get:

32,174.28 = 31,804.00

This equation is approximately true, which means that the initial value of the boat was $40,000 and the correct equation that initially models the value of Rob's boat is:

y = 40,000(0.93)^t

where t is the time in years.

Drone 1 is traveling faster than Drone 2.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The table and equation below show the proportional relationship between time, in seconds, x, and distance traveled, in feet, y, for two drones.

For drone 1;

The equation is,

⇒ y = 6x

For drone 2;

x = 8, 10, 13

y = 24, 30, 39

Now, For drone 1;

The distance in 8 seconds is,

⇒ y = 6x

⇒ y = 6 × 8

⇒ y = 48

The distance in 10 seconds is,

⇒ y = 6x

⇒ y = 6 × 10

⇒ y = 60

Thus, Drone 1 is traveling faster than Drone 2.

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Answer:

Step-by-step explanation:

a) The formula for the regression function is:

Maintenance Cost = 54.7757 + 120.689 x Age of Car

b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.

c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:

Y = a + bX ± tα/2 * SE

where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.

Plugging in the values, we get:

Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442

Y = 923.167 ± 26.010

Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.

d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.

To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.

Answer:

it is so hard men and there is no solution maybe you can search on siri

Answer:

x=28

Step-by-step explanation:

16 + 12 = 28

x=28

this is ez

Answer:

28

Step-by-step explanation:

Answer:3522

Step-by-step explanation:222

2

In each diagram, line f is parallel to line g, and line t intersects both lines f and g. The given information suggests the application of certain geometric properties and relationships.

Firstly, when a transversal line (line t) intersects two parallel lines (lines f and g), it creates several pairs of corresponding angles.

Corresponding angles are congruent, meaning they have equal measures. This property can be used to determine the measures of specific angles in the diagram.

Secondly, when a transversal intersects parallel lines, it also creates alternate interior angles and alternate exterior angles.

Alternate interior angles are congruent, as well as alternate exterior angles.

By utilizing these properties and relationships, one can analyze the diagram and determine the measures of various angles.

It is important to measure angles systematically and compare them to find congruent or equal measures.

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Answer:

\(- 6 {x}^{2} -2x + 20\)

\(( - 3x + 5)(2x + 4) \\ \\ = - 3x(2x + 4) + 5(2x + 4) \\ \\ = - 3x(2x) - 3x(4) + 5(2x) + 5(4) \\ \\ = - 6 {x}^{2} - { 12x} + {10x} + 20 \\ \\ = - 6 {x}^{2}-2x + 20\)

Solution:

To simplify this expression, multiply the terms together....

Hence, the simplified expression is -6x² - 2x + 20.

Hoped this helped!

Answer:

0.75

Step-by-step explanation:

Complete question:

If sum of squares due to regression (SSR) is found to be 14,200 and sum of squares error (SSE) is 1525, then what is the value of total sum of squares (SST) ?

Answer:

The value of total sum of squares (SST) is 15,725.

Step-by-step explanation:

Given;

sum of squares due to regression (SSR) = 14,200

sum of squares error (SSE) =  1525

sum of squares (SST) = ?

The total sum of squares (SST) is given as the summation of the sum of squares due to regression (SSR) and sum of squares error (SSE);

SST = SSR + SSE

Substitute the given values and solve for SST.

SST = 14,200 + 1525

SST = 15,725

Therefore, the value of total sum of squares (SST) is 15,725.

The value of the total sum of square (SST) is the sum of the sum of square Regression (SSR) and the Sum of Square Error (SSE). Hence, the Total sum of Square , SST is 15725

Given the Parameters :

The Total Sum of Square (SST) is defined thus :

SST = 1525 + 14200

SST = 15,725

Therefore, the Total Sum of Square for the analysis of variance relationship ls 15,725.

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For a curve to be a density curve, it must meet certain conditions such as it should be non-negative, and the area under the curve should equal 1. Furthermore, the curve should be continuous and smooth, and there should be no values outside the range of the data.

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3/5 or 60% of the prism's volume will be filled with sand.

The volume of each cube is e³ = 5³ = 125 cubic centimeters.

Since the rectangular prism is made up of two cubes, its volume is 2e³ = 2(125) = 250 cubic centimeters.

If Arusha fills the prism with 150 cubic centimeters of sand, the fraction of the prism's volume that will be filled with sand is:

150/250 = 3/5

Therefore, 3/5 or 60% of the prism's volume will be filled with sand.

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Step-by-step explanation:

I hope it helped and it is easy to understand i hope it was helpful

1)4y-2=8-2y+4y

=4y-2y+4y=8-2

2y +4y=8-2

6y+6

12

The correct statements are;

The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.

The point of intersection of the two functions indicates that the functions are inverses.

Option C and D

To accurately compare a function and its inverse based on the graphs, we have to know the following;

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An equation can be written to determine the number of students that went on this trip is: C. \(\frac{1259}{s} + 12=\frac{1259}{s+9}\)

In order to write an equation to determine the number of students that went on this trip, we would have to assign a variable and an expression to the number of students who went on the trip and the original number of students who had planned to go on the trip as follows;

Since a total of $1259 was collected from all of the students with 9 students dropping out and their portion of the money collected given back to them while the students that are all still going must contribute an additional $12, an equation to determine the number of students that went on this trip is given by;

\(\frac{1259}{s} + 12=\frac{1259}{s+9}\)

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Complete Question:

A high school class is planning a field trip to an art museum in their city. The class collected a total of $1259 from all of the students, which will go towards renting a bus, museum admission, and lunch.

However, a week before the trip 9 students had to drop out and their portion of the collected money had to be given back to them. Due to this, the students that are all still going must contribute an additional $12 each to cover all of the cost.

Now let s be the number of students who went on the trip and s + 9 be the original number of students who had planned to go on the trip

What equation can be written to determine the number of students that went on this trip?

Answer:

Section I test scores are more dispersed that that of section II.

Step-by-step explanation:

Consider the data collected from the arithmetic test given to two sections of a school.

Section I: Mean = 45, Standard  Deviation = 6.5

Section II: Mean = 45,  Standard deviation = 3.1

The mean of both the sections are same, i.e. 45.

So there is no comparison that can be made from the center of the distribution.

The standard  deviation for section I is 6.5 and the standard  deviation for section II is 3.1.

The standard deviation is a measure of dispersion, i.e. it tells us how dispersed the data is from the mean or how much variability is present in the data.

The standard  deviation for section I is higher than that of section II.

So, this implies that section I test scores are more dispersed that that of section II.