Solve the inequality 3/4q - 2/3q < 5/12q - 1/12 and write the solution in interval notation?

The logically equivalent statement to p → q is:

~q → ~p

The conditional statement:

p → q

Assuming p and q are propositions, the conditional statement may be expressed as:

"If p holds true, then q follows suit. "

'

Whenever p is true, q is true as well. This implies that if q is false, then p must also be false.

We can rephrase this statement cleverly using the negative propositions, which include the opposite or contradictory statements.

~p  and ~q

These mean:

Not p and Not q respectively.

Then the statement:

"If q is not true, then p is not true"

Is written as:

~q → ~p

So this is the logically equivalent statement.

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The Complete Question

Given a conditional statement p → q, which statement is logically equivalent?

~p → ~q

~q → ~p

q → p

p → ~q

The statement "Every set can be considered a class" means that every object in set theory, including sets, can be considered a class. This is because classes are simply collections of objects, and sets are a type of collection.

The statement "If S is a set, consider the formula x S and the class {x: x = S}" means that if S is a set, then we can consider the formula x S, which states that x is an element of S, and the class {x: x = S}, which is the class of all objects that are equal to S.

In other words, the statement is saying that every set can be considered a class, and that we can define a class for any set by considering the formula that defines the set and the class of all objects that satisfy that formula.

For example, the set {1, 2, 3} can be considered a class by considering the formula x ∈ {1, 2, 3}, which states that x is an element of the set {1, 2, 3}, and the class {x: x ∈ {1, 2, 3}} is the class of all objects that are elements of the set {1, 2, 3}. This class is equal to the set {1, 2, 3}.

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The two figures show equivalent graphs because:

A. The graphs have several edges that match the number of vertices.

B. The graphs have the same number of edges.

C. The vertices are connected in the same way.

D. The graphs have the same number of vertices.

The third equivalent graph is at option D.

The graphs that have the same number of vertices connected in the same way are called equivalent graphs. If they are connected in the same way then their count of edges will be the same for both graphs. They are also said to be isomorphic graphs.

The given graphs have
Graph1: vertices BCJK

Graph2: vertices BCJK

So, there is the same number of vertices for both graphs.

The connection between the vertices:

Graph1: J - B - C - K - B

Graph2: J - B - C - K - B

So, they are connected in the same way.

The edges formed by these vertices:

Graph1: JB; BC; CK; KB

Graph2: JB; BC; CK; KB

So, there is the same number of edges for both graphs.

Here the number of edges = the number of vertices i.e., (4 = 4)

From all these comparisons, the given graphs are equivalent.

The third equivalent graph made from these graphs is at option D in the diagram attached below.

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Disclaimer: The given question is incomplete. There is no image attached in the given question. Here the image is attached.

The patient needs 17.66 mg of medication A .

It is given that a patient has weight 157 lbs.

We apply division because we need to find the cost of one item given the  cost of many items. If you need to find the cost of many items from the cost of one item,  apply the multiplication operation.

We need to convert this weight in kilogram using unitary method , we get      1 pound have = 0.45 kilogram

           157 pound will have \(=157\times0.45\)

                                              \(=70.65\) kilogram

A patient receive 0.25 mg of Medication A per kg

Using unitary method , we get

  1 kg of body receives = 0.25 mg of medication A

  70.65 kg of body receives \(=0.25\times 70.65\)

                                                \(=17.66\) mg of medication A

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Answer:

54

Step-by-step explanation:

63 * 2 = m of arc DF

arc DF = 126

180 - 126 = 54

Arc FE = 54

Answer:

arc FE = 54°

Step-by-step explanation:

Because DE is a diagonal, ∠DFE is 90°.

∠FDE = 180° - 90° - 63° = 27°

arc FE = 2(∠FDE) = 2(27°) = 54°

The blue figure is moved 5 units to the right (T(5, 0)), reflected in the y-axis (r(y-axis)), and then rotated 90 degrees counterclockwise (R(-90)).

Translation: Move the blue figure 5 units to the right (translation of 5 units to the right, denoted as T(5, 0))

Reflection: Reflect the figure in the y-axis (denoted as r(y-axis))

Rotation: Rotate the figure 90 degrees counterclockwise (denoted as R(-90))

The series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).To better understand this, let's break down the transformations. The first transformation is a translation, which is a movement of a figure from one location to another. In this case, the figure is being moved 5 units to the right. This is denoted as T(5, 0).The second transformation is a reflection, which is a flip of a figure over a line or axis. In this case, the figure is being reflected in the y-axis. This is denoted as r(y-axis).The third transformation is a rotation, which is a turn of a figure around a point. In this case, the figure is being rotated 90 degrees counterclockwise. This is denoted as R(-90).Therefore, the series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).

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Answer:

y = -1/3x - 13/3

Step-by-step explanation:

Parallel lines always have the same slope.  Thus, the slope of the second equation is -1/3.

We can find the y-intercept by plugging in our slope and (-1, 4) and solving for b:

\(-4=-1/3(-1)+b\\-4=1/3+b\\-13/3=b\)

Therefore, the equation of the second line is y = -1/3x - 13/3

Answer:

Increased of 4% is

100 + 4 = 104%

104/100 = 1.04 (decimal multipiler)

We also know:

Population x 1.04 = first year

Population x 0.9 = 4446 next year

(100% - 10% = 90% & 90/100 is 0.9 d.m)

So, you solve for the start population of next year

Population x 0.9 = 4446 next year

Population x 0.9 = 4446

÷0.9 both sides

Population = 4940

4940 becomes the total population after first year

(100% of the end population of first year)

Thus, we substitute this value into our first year

Population x 1.04 = first year

Population x 1.04 = 4940

÷ 1.04 both sides

Population = 4750 (to start with)

Hope this helps!

The equation 2 (p+ 7) = 4 - 8p has only one solution that is; -9.

We know that solution of an equation refers usually to the values of the variables involved in that equation that if substituted in place of that variable would give a true mathematical statement.

We need to determine the solutions does the equation 2 (p+ 7) = 4 - 8p have;

Now solving for p,

2 (p+ 7) = 4 - 8

Open the bracket,

2p+ 14 = 4 - 8

Combine the like terms,

2p = -4 - 14

2p = -18

p = -18/2 = -9

Therefore, the equation has only one solution which is -9.

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Answer:

The mode (value that occurs the most) is 7, and the dot plot is skewed to the left. A possible situation for this dot plot is the time students need to complete their homework.

Step-by-step explanation:

The hours represents how  much time that each student spends.

Answer:

This plot graph shows a sudden increase in some variables. Then it fell. This could represent the Wall Street Stock Market Crash of October 28, 1929. I hope this helped.

Step-by-step explanation:

Answer:

The multiplicative inverse of 4/3 is 3/4. You literally swap the a and b points.

We know that

• The area of the base is 24 square inches.

Given that the bottom area is 24 square inches, we would need 48 of 1/2 inches cubes because we would need double the square inches.

Answer: D

Step-by-step explanation:

Hope it helps

Answer: \((f \cdot g)(x) = x^4-11x^2+30.\)

Step-by-step explanation:

We want to find the value of \(f(g(x)).\) To do this, we plug in \(g(x)\) into the expression for \(f(x).\) This gives us:

\(f(g(x)) = (x^2-9)^2+7(x^2-9)+12 = x^4-18x^2+81+7x^2-63+12 = \boxed{x^4-11x^2+30}.\)

Answer:

\(\huge\boxed{True\hookleftarrow}\)

Answer:

B

Step-by-step explanation:

P(AUB)=P(A)+P(B)-P(A∩B)

191/400=7/20+P(B)-49/400

P(B)=191/400+49/400-7/20=240/400-7/20=12/20-7/20=5/20=1/4

The value of P(B) is 1/4.

The probability is defined as the possibility of an event is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

For an experiment having q number of outcomes, the number of favorable outcomes can be denoted by p. The formula to calculate the probability of an event is as follows:

Probability(Event) = Favorable Outcomes/Total Outcomes = p/q

Given data as :

P(A) = 7/20,

P(A∪B) = 191/400,

P(A∩B) = 49/400 ,

P(AUB) = P(A) + P(B) - P(A∩B)

Substitute the values of P(A), P(A∪B) and P(A∩B) in formula,

191/400 = 7/20 + P(B) - 49/400

Rearrange the terms in the equation,

P(B) = 191/400 + 49/400 - 7/20

P(B) = 240/400 - 7/20

P(B) = 12/20 - 7/20

P(B) = 5/20

P(B) = 1/4

Hence, the value of P(B) is 1/4.

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Answer:

  80

Step-by-step explanation:

The cube Peggy wants to build will require 5×5×5 = 125 unit cubes. Since she has 45, she will need 80 more.

____

Peggy's cube will have 5 cubes along one edge. Then one layer will be 5 times that many, so 25 cubes. The 5 layers will be 5 times that many, so 125 cubes.

The total number of students who graduated from the Cincinnati universities and colleges are 15382.

We are given that 6.76 % of Cincinnati college and university graduates majored in Registered Nursing.

The number of the Cincinnati college and university graduates who majored in Registered Nursing = 1026.

We need to find the total number of students that graduated from the Cincinnati universities and colleges altogether in 2016.

Let the total number of students be x.

ATQ:

6.67 % x = 1026

6.67 x = 102600

667 x = 10260000

x = 10260000 / 667

x = 15382.309

Rounding off to the nearest whole number is:

x = 15382.

Therefore, we get that the total number of students who graduated from the Cincinnati universities and colleges are 15382.

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Solution :

Let the probability laser works = p

The probability that the system works = \($P(\text{all three component works}) = p^3 $\)

                                                                                                                   = 0.99

Therefore, p = 0.9967

Now for the above probability critical z = -2.72

Hence, the mean life is equal to = \(10,000 + 2.72 \times 600\)

                                                     = \(10,000+1632\)

                                                     \(=11,632\)

The graph that represents the exponential function f(x) = 2^(x - 1) + 2 is given as follows:

Graph A.

An exponential function has the definition presented as follows:

y = ab^x.

In which the parameters are given as follows:

The function for this problem is defined as follows:

f(x) = 2^(x - 1) + 2

It has an horizontal asymptote at y = 2, which removes the option C.

The parameter b is of b = 2, meaning that the function is increasing, which removes option D.

The numeric value of the function when x = 0 is given as follows:

f(0) = 2^(0 - 1) + 2

f(0) = 1/2 + 2

f(0) = 5/2

f(0) = 2.5.

Hence graph A is correct.

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Answer:

What is the question?

Step-by-step explanation:

g + 200 - (2 * 500) = 1200

g + 200 - 1000 = 1200

g = 1200 + 1000 - 200

g = 2200 - 200

g = 2000

Answer:

The polygon that is made is a triangle

Step-by-step explanation:

Answer:

The measure of CD is 46

Step-by-step explanation:

From the midpoint theorem, we have,

FG = (1/2)CD

so,

\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)

Now,

\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)

Answer:

1

Step-by-step explanation:

Answer:

796871

Step-by-step explanation:

Based on the given conditions, formulate:

5000 x (1 - (1 + 10%) 10)

-------------------------------                                                                  

           1 - (1 + 10%)                                                                          

Evaluate the equation/expression:

796871.23005

Find the closest integer to

798871.23005

=  796871

Answer:

Step-by-step explanation:

im not old enough to have a job

Answer:

a) The point estimate is 6995.

b) The margin of error is of 1691.

c) The standard error is of 1000

Step-by-step explanation:

a. Determine the point estimate for the prediction of student expenditures at a university with a graduation rate of 40%.

The point estimate is the mean of the two bounds of the confidence interval. So

\(P = \frac{5304 + 8686}{2} = 6955\)

The point estimate is 6995.

b. Calculate the margin of error.

The margin of error is the difference between the bounds and the point estimate. So

M = 8686 - 6995 = 6995 - 5304 = 1691

The margin of error is of 1691.

c. Calculate the standard error of the prediction of student expenditures at a university with a graduation rate of 40%.

Now I have to expand a bit into the confidence interval.

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.9}{2} = 0.05\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.05 = 0.95\), so Z = 1.645.

The margin of error is:

\(M = zs\)

In which s is the margin of error.

We have that M = 1691. So

\(M = zs\)

\(s = \frac{M}{z} = \frac{1645}{1.645} = 1000\)

The standard error is of 1000