Refer to the picture avove

Step-by-step explanation:

One easy way to find a number that has all of these numbers as factors is to multiply them all together, so 2 * 5 * 7 = 10 * 7 = 70, which is one number.

To find the other number, we can multiply the number we already have by any integer greater than 1, e.g. 2, to get 70* 2= 140 as our other number, making our numbers 70 and 140

The translation for the discrete statements are:

If S, then (Q and P); S → (Q ∧ P)

If P, then (not C and not E). P → (¬C ∧ ¬E)

Given data:

The given statement can be translated into symbolic logic as follows:

C: Parents send children to school.

E: Employees go to work.

P: The public will panic.

Q: Infected people are quarantined.

S: There is a swine flu epidemic.

The translation of the statement is as follows:

If S, then (Q and P);

If P, then (not C and not E).

Symbolically, the statement can be written as:

S → (Q ∧ P)

P → (¬C ∧ ¬E)

Here, the arrow (→) represents "if...then," ∧ represents "and," and ¬ represents "not."

This translation represents the logical relationships between the events described in the statement.

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The complete question is attached below:

Use the symbolic logic to transform the given statements.

Statement: If there is a swine flu epidemic, then infected people are quarantined and the public will panic; and if the latter occurs, then parents do not send children to school and employees do not go to work.

Key:

C = Parents send children to school.

E = Employees go to work.

P = The public will panic.

Q = Infected people are quarantined.

S = There is a swine flu epidemic.

The statement when translated into symbolic logic would be (S -> (Q & P)) & (P -> (~C & ~E)).

The given statement can be translated into symbolic logic as follows:

"If there is a swine flu epidemic, then infected people are quarantined and the public will panic" can be translated to:

S -> (Q & P)

"and if the latter occurs" refers to "the public will panic". Thus, "then parents do not send children to school and employees do not go to work" can be translated to:

P -> (~C & ~E)

Now, combining both parts of the statement using the "and" operator:

(S -> (Q & P)) & (P -> (~C & ~E))

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The full question is:

Statement: If there is a swine flu epidemic, then infected people are quarantined and the public will panic; and if the latter occurs, then parents do not send children to school and employees do not go to work.

Key:

C = Parents send children to school.

E = Employees go to work.

P = The public will panic.

Q = Infected people are quarantined.

S = There is a swine flu epidemic.

Answer:

do your own work its not hard

Step-by-step explanation:

measure horizontally

measure vertically

measure depth..

9514 1404 393

Answer:

Step-by-step explanation:

The equation of the given line can be written as ...

  Δy·x -Δx·y = Δy·x1 -Δx·y1

where Δy and Δx are the differences in y and x coordinates of two points on the line, respectively. Here, we can find them to be ...

  Δy = 5-(-5) = 10

  Δx = -5 -1 = -6

Then the equation of the given line can be written as ...

  10x +6y = 10(-5) +6(5) = -20

Dividing by 2 puts this in standard form:

  5x +3y = -10 . . . . . . equation of the graphed line

__

A parallel line will have the same x- and y-coefficients with a different constant. The equation of the parallel line is 5x +3y = 13.

A perpendicular line will have the x- and y-coefficients swapped, with one of them negated. The equation constant will likely be different. The coefficients may be multiplied by some factor so all the numbers are integers.

The equation of a perpendicular line is 6x -10y = 7.

Answer:

A. It was decreasing by -138,629.44 barrels

B. 26 years of time

Step-by-step explanation:

Due to the length of this question solution, I was unable to type it. The answer is contained in the attachment.

A. At 1200000

Bt = 1200000

-1/6ln2 x 1200000

Solve this using a calculator

= -138,629.4361

So the amount of oil is decreasing by -138,629.44 barrels

Answer:

440dollars............

Answer:

Following are the solution to the given points:

Step-by-step explanation:

Normal Distribution:

[tex]\mu=50\\\\\sigma= 6\\\\Z=\frac{X-\mu}{\sigma} \sim N(O,l)[/tex]

For point a:

[tex]P(X< 56)=\frac{(56-50)}{6}= \frac{6}{6}=1\\\\[/tex]

[tex]=P(Z<1)\ From\ \sigma \ Table=0.8413\\\\P(X>= 56)=(1-P(X< 56))=1-0.8413=0.1587\\\\[/tex]

For point b:

[tex]P(X< 49)=\frac{(49-50)}{6}=-\frac{1}{6} =-0.1667\\\\=P(Z<-0.1667)\ From\ \sigma \ Table\\\\=0.4338[/tex]

For point c:

To Find [tex]P(a\leq Z\leq b)= F(b) - F(a)\\\\[/tex]

[tex]P(X< 45)=\frac{(45-50)}{6}=\frac{-5}{6} =-0.8333\\\\P (Z<-0.8333) \ From \ \sigma \ Table\\\\=0.20233\\\\P(X< 55)=\frac{(55-50)}{6} =\frac{5}{6}=0.8333\\\\P ( Z< 0.8333) \ From \ \sigma\ Table\\\\=0.79767\\\\P(45 < X < 55) =0.79767-0.20233 =0.5953[/tex]

Answer:

72°

Step-by-step explanation:

Para el pentagono ABCDE,

m<C = (n - 2)(180)/n = (3)(180)/5 = 108

m<D = m<C = 108

Para el quadrilatero BCDE,

m<CBE + m<C + m<D + m<DEB = (n - 2)180 = 2(180) = 360

m<C = m<D = 108

m<CBE = m<DEB = x

m<CBE + m<C + m<D + m<DEB = 360

x + 108 + 108 + x = 360

2x + 216 = 360

x + 108 = 180

x = 72

Answer:

B

Step-by-step explanation:

Answer:

FnH = {Meagan}

Step-by-step explanation:

Given the following sets and events:

S = {Albert, Betty, Abel, Jack, Patty, Meagan}

F = {Betty, Patty, Meagan},

H = {Abel, Meagan}

P = {Betty, Abel}.

In order to get FnH

The intersection of F and H is the element that is common to both sets. Hence for the set given, we can see that Meagan is common to both sets, therefore:

FnH = {Meagan}

Answer:

x = 14.4

Step-by-step explanation:

x is sin(angle 24/30)×24

how do we get the angle at 24/30 ?

by using the extended Pythagoras for baselines opposite other than 90 degrees.

c² = a² + b² - 2ab×cos(angle opposite of c)

in our example the angle 24/30 is opposite of the side 18.

so,

18² = 24² + 30² - 2×24×30×cos(angle 24/30)

324 = 576 + 900 - 1440×cos(angle 24/30)

324 = 1476 - 1440×cos(angle 24/30)

1440×cos(angle 24/30) = 1152

cos(angle 24/30) = 1152/1440 = 576/720 = 288/360 = 144/180 = 72/90 = 36/45 = 12/15 = 4/5

angle 24/30 = 36.9 degrees

x = sin(36.9) × 24 = 14.4

Answer:

A

Step-by-step explanation:

A is the only graph with slope (1/4)

Answer:

16

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Information needed: a whole circle is 360 degrees.

Explanation: you need a protractor to see how many degree's it is

Answer:

17d/20

Step-by-step explanation:

100-25=85

85/100×d

=17/20×d

=17d/20

Answer:  [tex]-\infty < y < \infty[/tex] which is choice A

This is the set of all real numbers.

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

Explanation:

If you were to graph this function, then it spans infinitely upward and infinitely downward as well. That means that we can land on any y value we want, and that's why the range is the set of all real numbers.

Another approach we could take is to swap x and y to get [tex]x = \sqrt[3]{y+8}[/tex] which solves to [tex]y = x^3-8[/tex] . This is the inverse of the original function your teacher gave you. Recall that the domain and range swap roles when going from the original function to the inverse. What this means is that because the domain of

Domain of inverse = set of all reals

Range of original = set of all reals

9514 1404 393

Answer:

  D

Step-by-step explanation:

For the inverse function, swap the words "domain" and "range" in the description of the function. The domain of a function is the range of its inverse, and vice versa.

Inverse function domain: x > 0; range: y < 2.

Answer: B. f(x - 3) = 6x - 16

Concept:

When encountering a question that gives you a function and the evaluation value, then basically plug the given value into the function.

Solve:

Given function and value

f(x) = 6x + 2

f(x - 3)

Substitute the value into the given expression

f(x - 3) = 6 (x - 3) + 2

f(x - 3) = 6x - 18 + 2

f(x - 3) = 6x - 16

Hope this helps!! :)

Please let me know if you have any questions

Answer:

1/2

Step-by-step explanation:

I am not sure if it's correct

The probability that the farmer planted corn OR lettuce is 1/2.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

The Venn diagram below shows the type of crops planted by 50 farmers in a particular area.

The number of farmers plant only corn = 5

The number of farmers plant only lettuce = 10

The number of farmers plant corn and lettuce = 10

Total number of farmers = 50

If a farmer is chosen at random, then the probability that the farmer planted corn OR lettuce is;

[tex]\rm Probability =\dfrac{Corn + Lettuce+ Corn and Lettuce}{Total \ number \ of \ farmers}\\\\ Probability =\dfrac{5+10+10}{50}\\\\\rm Probability =\dfrac{25}{50}\\\\\rm Probability =\dfrac{1}{2}[/tex]

Hence, the probability that the farmer planted corn OR lettuce is 1/2.

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Answer:

Move triangle ABC over 2 and up 1

Step-by-step explanation:

A transformation in geometry is to essentially move a shape. To move ABC onto A1B1C1 you would move triangle ABC over 2 and up 1.

Answer: B. X It passes the vertical line test :)

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

this is because it is an equalactral triangle meaning that the line at the side is the only one which its degrees is 90 so if u add 45 and 45 its 90(hope this helps)

Answer:

Two sides have the same length, which iS less than

the length of the third side.

Step-by-step explanation:

Hypotenuce is a sode opposite to right angle, which is always bigger then any side of right triangle. since both angles are the same, Adjacent and Opposite are similar size as well.

9514 1404 393

Answer:

  3.6 m/s

Step-by-step explanation:

To find Inge's average speed for the race, we need to know her total distance (400 m) and her total time. The times for the 2nd and 3rd portions of the race are given, but we need to figure the time for the first portion. That will be ...

  time = distance/speed

  time = (150 m)/(4.6 m/s) = 32.609 s . . . . time for first 150 m

Then Inge's average speed is ...

  (400 m)/(32.609 s + 40 s + 38 s) = (400 m)/(110.609 s) ≈ 3.6 m/s

Step-by-step explanation:

the might help you for your answer

Answer:

3 * 5

4    2

Step-by-step explanation:

To convert division problems with fraction into multiplication problems use the KCF rule

Keep the 1st Fraction the same

Change the division sign to a multiplication sign

Flip the fraction (reciprocal)

Answer:

Step-by-step explanation:

a)

*Prob-less 89.44%

b)

*Prob-Between 86.40%

Z1=-1.88 Z2=1.25

c)

*Prob-less 10.56%

Answer:

51°

Step-by-step explanation:

Reference angle (θ) = ?

Opposite side length = 31

Hypotenuse length = 40

Apply SOH, which is;

Sin θ = Opp/Hyp

Plug in the values

Sin θ = 31/40

θ = sin^{-1}(31/40)

θ = 51° (neatest whole degree)

Answer:

47.1

Step-by-step explanation:

We know side LM corresponds with side OP with a factor of some number. The value of side LM is 8, and the value of side OP is 29. If we divide the two numbers, we will find the scale factor of which triangle NOP is larger than KLM. 29/8 simplifies to 3.625. Now, to find the value of side PN, we must find the side it corresponds to on triangle KLM. Because K corresponds with N, and M corresponds with P, we know the side that PN corresponds with on triangle KLM is side KM. Side KM has a value of 13, so side PN must be 3.625 times larger than 13.

13 times 3.625 = 47.125. The question says to round to the nearest tenth, so the answer would be 47.1