Constant of Variation

Given that f(x) = 2/x² and g =(x) = 13/x²

What is the domain of the functions f and g?

a. only positive integers
b. All non zero real numbers
c. only negative integers
d. All real numbers including zero

Please select the best answer from the choices provided

Answer:

See attached photo!

Step-by-step explanation:

Answer:

5x-5.2=7.3

5x=7.3+5.2

5x=12.5

x=12.5÷5

x=2.5

Answer: x = 2.5

Step-by-step explanation:

Try to get x by itself

5x - 5.2 = 7.3

5x = 7.3 + 5.2

5x = 12.5

x = 12.5 / 5

x = 2.5

Answer:

x  = 73

Step-by-step explanation:

A circle is 360 degrees

4x-5 + x = 360 degrees

5x - 5 = 360 degrees

5x = 365 degrees

Divide by 5

5x/5 = 365/5

x =73

Answer:

The answer is probably A, but you typed it in wrong so I do not know. I can only guess because the others do not seem to be correct either. I have graphed them on Desmos. The screenshot is below.

Step-by-step explanation:

Answer:

1) A={0,2,4,12,14,20}

2) 6

3) W={1,3,5,9,21,23,39}

4) 7

Answer:

C

Step-by-step explanation:

Answer:

18.5-45%=10.175 Hope this helped! :)

joe mama is obama

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 miles / 74 minutes simplifies to

2 miles / 37 minutes

Answer:

86

Step-by-step explanation:

Answer:

y = 5x+8

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

We know the slope is 5 and the y intercept is 8

y = 5x+8

Answer:

The area of the rectangle is 4 sq yards.

Step-by-step explanation:

Given that,

The length of the rectangle, [tex]L=\dfrac{2}{13}\ yards[/tex]

The breadth of the rectangle, B = 26 yards

We need to find the area of the rectangle. The formula for the area of a rectangle is given by :

A = LB

Put all the values,

[tex]A=\dfrac{2}{13}\times 26\\\\A=2\times 2\\\\A=4\ yd^2[/tex]

So, the area of the rectangle is 4 sq yards.

Answer: Hello your question lacks the required options but I will provide a more general answer

answer :  Ineffectiveness/failure of the experimental Treatment given to the 50 subjects in the Treatment group

Step-by-step explanation:

The Placebo treatment is a treatment given for the purpose of psychological benefit. it does not have a therapeutic effect on the individual.

Given that there is very little difference between the success rate of the group whom actually receive the treatment ( for the purpose of therapeutic effect ) and the group that received placebo treatment we can conclude that the success of the Placebo group is due to the ineffectiveness of the Treatment given to the 50 subjects in the Treatment group

Answer: A. $4.12

Step-by-step explanation:

Y=a(1+r/n)^nt is the equation we use to solve this.

a= $0.43

t=37 - take 1980 and subtract it from 2017

r= .063 - the 6.3% goes into a decimal

n = 1

Y= ?

Y= 0.43( 1+ .063/1) ^1*37

Y= 0.43 (1.063) ^37

Y= 4.12

Answer:

19

Step-by-step explanation:

Given the expression:

Add the quotient of 35 and 5 to the product of 2 and 6.

Quotient of 35 and 5 :

35 / 5 = 7

Product of 2 and 6 :

(2 * 6). = 12

Adding the result of the both calculations :

7 + 12 = 19

Writing the expression together :

35/5 + (2 * 6)

7 + 12

Answer:

x^4

Step-by-step explanation:

The expression can be simplified to (x^2)^2. Using an exponent rule, you multiply the two exponents together to get 4. The answer is x^4

Answer:

240/100

Step-by-step explanation:

just multiply 24 by 10 to get hundredths

Answer:

Height = 4 cm and slant height = 5 cm

Step-by-step explanation:

Given that,

The surface area of the cone, A = 75.4 cm²

Radius, r = 3 cm

The surface area of the cone is given by the formula as follows :

[tex]A=\pi r^2+\pi rl[/tex]

Put all the values,

[tex]75.4=3.14\times 3^2+3.14\times 3\times l\\\\75.4=28.26+9.42l\\\\75.4-28.26=9.42l\\\\47.14=9.42l\\\\l=\dfrac{47.14}{9.42}\\\\l=5\ cm[/tex]

Also,

[tex]l^2=r^2+h^2\\\\h=\sqrt{l^2-r^2}\\\\h=\sqrt{5^2-3^2}\\\\h=4\ cm[/tex]

Hence, the height of the cone is 4 cm and the slant height is 5 cm.

Answer:

m<G = 59°

Step-by-step explanation:

Recall: the angle formed outside a circle when 2 secants intercept is equal to half of the difference of the intercepted arcs

m<G = ½(arc TE - arc HF)

m<G = ½(175 - 57)

m<G = ½(118)

m<G = 59°

[tex]\huge{ \mathcal{ \underline{ Answer }}}࿐[/tex]

Cos 210° is equal to [tex]-Cos(30°)[/tex]

[tex] \#TeeNForeveR[/tex]

Answer:

Hello, it appears you did not attach an image that would provide the necessary information for me to answer your question. I cannot see the graphs, so I'm afraid unless you present a photograph, I'm cannot help you. If you show me the graphs, I'd be more than happy to help you!

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Step-by-step explanation:

please I'm not sure for the numbers 3 and 2.

for number 10,

2/3x -4 = 3 +5

2/3x = 8+4

2/3x = 12

2x= 12 x 3

2x = 36

x = 18

and for number 4

(y+1)/5 - (y-2)/4 = -1

to clear out the fraction, multiply throughout by 20

after multiplying, we have

4(y+1) -5(y-2)= -20

4y+4-5y+10 =-20

14 -y = -20

-y = -20 + 14

-y = -6

y = 6

Answer:

9 yrs ago

Step-by-step explanation:

(50-x)(20-x) = 451

x^2-70x + 1000 = 451

x^2-70x + 549 = 0

(x-9)(x-61) = 0

x = 9 (if it was 61 yrs ago, the father and son both wouldnt be a live)

Answer:

x = ±9

Step-by-step explanation:

Isolate 2x^2 by subtracting 65 from both sides:

            2x^2 = 162

Then x^2 = 81, and x = ±9

Answer:

If an event has a probability of 0 it means that it is impossible. For example when they say there is 0% of rain. It is very unlikely it is going to rain. If an event has a probability of 1 it means that it is certain. For example, if they say there is a 100% chance it is going to rain. It is very certain that it's going to rain. If an event is 1/2 then it means there it is likely as it is unlikely. For example, if they say there is a 50% chance of rain. Then it might not rain, but there is a chance that it might rain as well.  

Step-by-step explanation:

Hope this helps!

Probability can simply be defined as the chances of an event a, occuring with respect to event b, with respect to event n, given an nth number of possible outcomes.

Probability can be calculated using the following expression:

[tex] \frac{freq \: of \: event \: n}{freq \: of \: total \: number \: of \: events} [/tex]

When an event has a probability of 0, it means that by no chance or condition will the event be true. For example, the probability of a person who is a boy has 0 probability that he is a girl.

When an event has a probability of 1, it means that with every chance or condition, the event will be true. For example, the probability that a person who is a boy has a probability of 1 that he is a boy.

An event that has a probability of 1/2 means that the event could either return a probability of 0 or 1 on different chances or conditions. For example, the probability of a fuetus whose gender is not known has a probability of 1/2 for being a boy and 1/2 for being a girl.

Answer:

A.) Independent

B.) Independent

C.) Dependent

D.) Independent

E.) Dependent

F.) Independent

Step-by-step explanation:

To find - Select from the following pairs of events all the pairs that are independent.

A. Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.

B. Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.

C. Roll a number cube. Then roll again if the first roll is a 6.

D. Roll a 2 on a number cube and spin a 3 on a spinner.

E. Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.

F. Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.

Proof -

We know that,

Independent events are the events that does not depend on the previous events.

Also,

If A and B are two independent events, then

P(A and B) = P(A) * P(B)

Now,

A.)

Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.

Here,

Event 1 - Draw a 2 of clubs from a standard deck of 52 cards

Event 2 - keep it, then draw a 2 of diamonds.

These Events are independent

Because

Event 1 is about picking a card that is club

Event 2 is about picking a card that is diamond

And Diamond and spades are 2 different types of card in a pack of standard deck.

So, they are not related to each other.

So,

Both the Events are Independent.

B.)

Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.

Event 1 is about picking a card that is spade

Event 2 is about replacing the card to heart.

These Events are independent

Because

And spade and heart are 2 different types of card in a pack of standard deck.

So, they are not related to each other.

So,

Both the Events are Independent.

C.)

Roll a number cube. Then roll again if the first roll is a 6.

Event 1 is Roll a number cube.

Event 2 is Roll again if the first roll is 6.

These Events are Dependent

Because

Event 2 is dependent on Event 1.

If Event 1 given no 6 then Event 2 would not happen

If Event 1 given 6 then Event 2 would happen.

So, They are related to each other

So,

Both the Events are Dependent.

D.)

Roll a 2 on a number cube and spin a 3 on a spinner.

Event 1 is Roll a 2 on a number cube

Event 2 is spin a 3 on a spinner

These Events are independent

Because

Cube and spinner are two different objects.

So, they are not related to each other.

So,

Both the Events are Independent.

E.)

Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.

These Events are Dependent

Because

P(A and B) = P(A)*P(B)

⇒0.8 = 0.4*0.2

⇒0.8 = 0.08

But they are not equal

So, they are not independent Events.

F.)

Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.

These Events are independent

Because

P(A and B) = P(A)*P(B)

⇒0.05 = 0.1*0.5

⇒0.05 = 0.05

They are not equal

So, they are independent Events.