A patient has a prescription order for 30
mg of a medication. The pharmacy has a
partial container of 7.5 mg tablets. How
many tablets will the patient need?

The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.

A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?

The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.

The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'

Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).

Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.

Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200

Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.

The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.

The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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Answer:

The formula is

Step-by-step explanation:

a^2 + b^2 = c^2

hope this helps

Abiding by the two rules, the number of variable names we can have in Python are; 63

The rules for python are given as;

1) Variable names in Python can be any length and can consist of uppercase and lowercase letters ( A-Z, a-z ), digits ( 0-9 ), and the underscore character ( _ ).

1b) An additional restriction is that, although a variable name can contain digits, the first character of a variable name cannot be a digit.

2) We limit each line to 79 characters, so, to be extra careful, we will assume variables can be of at most 7 characters in length.

Now, abiding by the two rules above, the number of variable names we can have in Python are;

26( A-Z) + 26(a-z) + 10(0-9) + 1 ( _ ) = 63 variable names

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Answer:

ok thanks for the points

Step-by-step explanation:

Answer:

2 . figures have a volume that is greater than 600 in3.

Step-by-step explanation:

Answer:

x(y/2 + z)

Step-by-step explanation:

There are two triangles here.

The small triangle which is bound by dotted lines has base = y and height = x

The height of the larger triangle is 2x and its base is y + z

Area of larger triangle = 1/2 ·  2x · (y + z)
= x(y + z) = xy + xz

Area of smaller triangle = 1/2 · x · y = xy/2

Shaded region area = Area of larger triangle - area of smaller triangle

= xy + xz - xy/2

= xy/2 + xz

= x(y/2 + z)

Answer:17

Step-by-step explanation:

Answer:

x = 3 and y = -1

Explanation:

The first equation of the system is:

y = - 3x - 10

The second equation of the system is:

y = -1

The second equation is solved for y, so we can take the second equation and replace the value of y in the first equation as follows:

y = - 3x - 10

-1 = - 3x - 10

Now, we can solve for x, so adding 10 to both sides of the equation, we get:

-1 + 10 = -3x - 10 + 10

9 = - 3x

Dividing by -3 into both sides:

Therefore, the solution of the system is x = -3 and y = -1

Answer:

I think your good but just in case check part C on first page also check 3c and 2.

Step-by-step explanation:

Answer:

Pedro Dropdown 1: they Do not Intersect, they Are the same line

Step-by-step explanation:

3y = 6x + 6

y = 2x + 2

3y-6x = 6... Equation one

y-2x = 2... Equation two

Dividing equation one by 3 gives

Y -2x = 2. Which is same thing with equation 2

So I think the two are same line and do not intersect.

Answer:

Pedro: are the same line, infinitely many

Amy: is

Matt: always, infinitely many

Step-by-step explanation:

PEDRO: Since the lines are on top of one another, there are infinitely many solutions. These lines are called coinciding lines.

AMY: 3y = 6x + 6 is a multiple of y = 2x + 2. When one equation is a multiple of the other, there are infinitely many solutions to the system.

MATT:  When the equation 3y = 6x + 6  is divided by 3, the quotient is equal to the first equation. The equations are equivalent, so they describe the same graphed line.

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

remember, 7 days each week, so this is a multiplication problem.

32*7=224 days

Done!

Answer:

224 days

Step-by-step explanation:

multiply the time value by 7 because there are 7 days in a week

Answer:

\(\huge \boxed{\mathrm{10.3 \ units}}\)

Step-by-step explanation:

To solve for CD, we can create a right triangle.

Where CD becomes the hypotenuse.

The length of the base of the triangle is 9 units.

The length of the height of the triangle is 5 units.

Apply Pythagorean theorem to solve for the hypotenuse.

\(\sf hypotenuse = \sqrt{(base )^2 +(height )^2 }\)

\(c=\sqrt{9^2 +5^2 }\)

\(c=\sqrt{106}\)

\(c \approx 10.29\)

Answer:

d= 4

Step-by-step explanation:

The DISTANCE between the two points can be found by the distance formula

d^2 = (x1-x2)^2 + (y1-y2)^2

      ( 1-5)^2 + (2-2)^2

    =  16

d = 4

You can just LOOK and realize the two points have the same y values...so the distance is just the distance between the x coordinates   5 -1 = 4  

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:

x = 5

Step-by-step explanation:

Since the base angles are congruent then the triangle is isosceles with the 2 legs being congruent, then

9x - 5 = 4x + 20 ( subtract 4x from both sides )

5x - 5 = 20 ( add 5 to both sides )

5x = 25 ( divide both sides by 5 )

x = 5

Volume of the cylinder is 15197.60(to the nearest hundredth).

In mathematics, Cylinder is  the basic 3d shapes,  which has two parallel circular bases at a distance. The two circular bases are joined by a curved surface, at a fixed distance from the center which is called height of the cylinder.

Given that the radius of the cylinder  is 11yd.

and the height of the cylinder is 40yd.

Formula for the volume of cylinder  is π × r² × h where π=3.14, r= radius and h= height.

Putting the values we get,

Volume of the cylinder is = 3.14 × (11)² × 40 cubic yd.

                                          = 15197.6

Hence, Volume of the cylinder is 15197.60(to the nearest hundredth).

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Answer: 60

Step-by-step explanation:

The negatives cancel each other out and you are left with 15 times 4

Answer:

24.06................

Answer:

B

Step-by-step explanation:

\(( - 20.16) + ( - 3.9) \\ \)

=

\( - 20.16 - 3.9\)

=

\( \frac{ - 1203}{50} or - 24.06\)

The probability that less than 75% of the sample students have iPhones is approximately 0.2478.

What is probability?

This is a binomial probability problem, where each student either has an iPhone or does not have an iPhone, and the probability of success (having an iPhone) is 0.789.

Let X be the number of students in the sample who have an iPhone. We want to find P(X < 0.75 * 50) = P(X < 37.5)

Using the binomial probability formula, we have:

P(X < 37.5) = Σ P(X = k), for k = 0, 1, 2, ..., 37

However, this is a tedious calculation. Instead, we can use a normal approximation to the binomial distribution, since n * p = 50 * 0.789 = 39.45 > 10 and n * (1 - p) = 50 * 0.211 = 10.55 > 10.

Using the normal approximation, we can standardize the random variable X:

Z = (X - μ) / σ

where μ = n * p = 39.45 and σ = √(n * p * (1 - p)) = √(50 * 0.789 * 0.211) = 2.88.

Then, we have:

P(X < 37.5) = P(Z < (37.5 - 39.45) / 2.88) = P(Z < -0.68)

Using a standard normal table or calculator, we find that P(Z < -0.68) is approximately 0.2478.

Therefore, the probability that less than 75% of the sample students have iPhones is approximately 0.2478.

Binomial probability is a type of probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes: success or failure. It assumes that the probability of success in each trial is constant, and the trials are independent of each other. The binomial distribution is characterized by two parameters: the number of trials and the probability of success in each trial.

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Answer:

No.

Step-by-step explanation:

917 x 33 would result to 30,261.

Answer:

B: A

He earns $90 in 3 weeks.

C

He shelves 90 books in 3 hours.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

6x + 12 - (3x - 7)

6x + 12 - 3x + 7

3x + 19

Step-by-step explanation:

Simplifying

6x + 13 + -3x + -7 = 0

Reorder the terms:

13 + -7 + 6x + -3x = 0

Combine like terms: 13 + -7 = 6

6 + 6x + -3x = 0

Combine like terms: 6x + -3x = 3x

6 + 3x = 0

Solving

6 + 3x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + 3x = 0 + -6

Combine like terms: 6 + -6 = 0

0 + 3x = 0 + -6

3x = 0 + -6

Combine like terms: 0 + -6 = -6

3x = -6

Divide each side by '3'.

x = -2

Simplifying

x = -2

Answer:

If you really meant that the number of dogs is 12 greater than 3 times the number of cats then:

3 cats

Step-by-step explanation:

21= number of dogs

c = number of cats

21 = 12 + (3c)

3c = 9

c = 3

Step-by-step explanation:

44+48= (40*4)+(40*8)

92=160+320

92=480

x= 92+480

= 572

Answer: 43 should be divided into 0.37 to find “x”.

Step-by-step explanation:

The true statement is; II. Option D

From the information given, we have that;

I. The set of all second-degree polynomials with the standard operations is a vector space

II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space

III. The set of second quadrant vectors with the standard operations is a vector space

Note that;

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Answer: (x > -3).

Step-by-step explanation:

To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:

4(1 - x) < 16

Distribute the 4:

4 - 4x < 16

Subtract 4 from both sides:

-4x < 12

Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:

x > -3

The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.

To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:

The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).

here's the graph for 4(1-x)<16

Answer:

b) H0:μ=90, H1:μ≠90

Step-by-step explanation:

The corporation wants to know if the mean number of days is different from the 90 days claimed.

This means that at the null hypothesis, we test if the mean number is the claimed value of 90, and so:

\(H_0: \mu = 90\)

The corporations wants to know if the mean number is different, and thus, at the alternate hypothesis, we test if the mean number is different from 90, that is:

\(H_1: \mu \neq 90\)

This means that the correct answer is given by option b.