Add the fractions and simplify the answer: 1/2 + 2/3

Answers

Answer 1

Answer:

The simplification of the fraction would be; 7/6.

What is a fraction?

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).

Therefore, first convert the denominator (bottom n umber) to the same number.

1/2 and 2/3 then the numbers are 2 and 3

the least common multiple is 6

To convert is multiply each by bottom number of the other over the other;

1/2 +2/3

1/2 x 3/3 + 2/3 x 2/2

3/6 + 4/6

(7)/6

7/6

Hence, the simplification of the fraction would be; 7/6.

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How can i solve this
f:d->R
f(x)=x at power2/x-1

Answers

x - 1 is not null => x is not 1 => D = R - {1};

Which of the following describes the graph of f–1(x)?A.The graph of f–1(x) is the reflection of the graph of f(x) in the line y = –x.
B. The graph of f–1(x) is the reflection of the graph of f(x) in the y-axis.
C. The graph of f–1(x) is the reflection of the graph of f(x) in the x-axis.
D. The graph of f–1(x) is the reflection of the graph of f(x) in the line y = x.

Answers

The best and most correct answer among the choices provided by the question is the third choice. The statement that describes the graph is "The graph of f–1(x) is the reflection of the graph of f(x) in the x-axis. " I hope my answer has come to your help. God bless and have a nice day ahead!

When Arjun makes hot cocoa, he adds 20 mL 20 mL20, start text, space, m, L, end text of chocolate syrup for every 3 33 ounces of hot water. Arjun's brother, Eli, adds 45 mL 45 mL45, start text, space, m, L, end text of chocolate syrup for every 6 66 ounces of hot water. Which hot cocoa is more chocolatey? Choose 1 answer: Choose 1 answer: (Choice A) A Arjun's hot cocoa (Choice B) B Eli's hot cocoa (Choice C) C The two cocoas are equally chocolatey.

Answers

Answer:

(Choice B) B Eli's hot cocoa

Step-by-step explanation:

Arjun makes hot cocoa, he adds 20 mL of chocolate syrup for every 3 ounces of hot water.

Ratio of chocolate syrup to hot water = 20 : 3

= 20 / 3

= 6.67

Eli adds 45 mL of chocolate syrup for every 6 ounces of hot water.

Ratio of chocolate syrup to hot water = 45 : 6

= 45 /6

= 7.5

The ratio of Eli's chocolatey hot cocoa is more than Arjun's chocolatey hot cocoa.

The correct answer is B Eli's hot cocoa

Answer: The answer is the B Eli's hot cocoa .

The probability that Edward purchases a video game from a store is 0.67 (event A), and the probability that Greg purchases a video game from the store is 0.74 (event B). The probability that Edward purchases a video game (given that Greg has purchased a video game) is 0.67. Which statement is true?A. Events A and B are independent because P(A|B) = P(A)
B. Events A and B are dependent because P(A|B) = P(A)
C. Events A and B are independent because P(A|B) = P(B)
D. Events A and B are dependent because P(A|B) P(A)

Answers

The statement that is true is Option (A) Events A and B are independent because P(A|B) = P(A).

What is conditional probability ?

In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event has already occurred. In conditional probability, we always deal with two or more mutually exclusive events.

How to identify the correct statement ?

Given that the probability that Edward purchases a video game from a store is 0.67 (event A), and the probability that Greg purchases a video game from the store is 0.74 (event B). The probability that Edward purchases a video game (given that Greg has purchased a video game) is 0.67.

Thus we can see that both the events A and B are mutually exclusive events . Also A and B are both independent events means they do not have any relation of simultaneously occurring.

P(A/B) means that the probability that A will occur given that B has already occurred.

As both the events are independent, therefore when A will occur, it will have no relationship with event B.

∴ P(A/B) = P(A) .

Thus the statement that is true is Option (A) Events A and B are independent because P(A|B) = P(A).

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Events A and B are independent because P(A|B) = P(A).

Given two events A and B, the conditional probability P(A|B) is the probability that A happends, knowing that B has happened. If the two events are dependent, knowing that B has already happened will change the probability of A. If, instead, knowing that B has happened doesn't change the probability of A, it means that A doesn't depend on B, and thus the events are independent.

What is the minimum number of data points needed to use matrices to find an equation for a circle in the form 0=x^2+y^2+Dx+Ey+F0 = x 2 + y 2 + D x + E y + F?

Answers

The number of rows of a matrix is the number of data points of the matrix.

The number of data points is 3.

The equation is given as:

$\mathbf{0 = x^2 + y^2 + Dx + Ey + F}$

The number of unknown is the minimum number of data points.

From the equation, we have:

$\mathbf{Unknown = D,E, F}$

The number of unknown variable is 3

Hence, the number of data points is 3.

Read more about data points and matrices at:

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Step-by-step explanation:

You need at least 3 points to define a circle. By looking at the equation, you can see there are three unknown coefficients: D, E, and F. Therefore, you must solve 3 equations, so you need 3 points.

Ted throws an object into the air with an initial vertical velocity of 54 feet per second from a platform that is 40 feet above the ground. About how long will it take the object to hit the ground?

Answers

Answer:

The height of the object as a function of time is given by:

$h(t) = -16t^2+vt+h$ .....[1]

where,

h(t) is the height of the object t second after it is thrown.

v is the initial velocity

h is the initial height.

As per the statement:

Ted throws an object into the air with an initial vertical velocity of 54 feet per second from a platform that is 40 feet above the ground

⇒v = 54 ft/sec and h = 40 feet above the ground.

Substitute in [1] we have;

$h(t) = -16t^2+54t+40$

we have to find how long will it take the object to hit the ground.

Substitute h(t) = 0

then;

$-16t^2+54t+40 = 0$

⇒ $-8t^2+27t+20=0$

Factorize this equation:

$-8t^2+32t-5t+20=0$

⇒ $-8t(t-4)-5(t-4)=0$

⇒ $(t-4)(-8t-5)=0$

By zero product property we have;

t-4 = 0 and -8t-5 = 0

⇒t = 4 and -8t = 5

⇒ t= 4 and t = - 0.625

Since, time cannot be in negative;

⇒ t= 4 sec

therefore, 4 seconds will it take the object to hit the ground

PERFECT application of the general equation of things
that are moving up and down in gravity:

   H(t) = H₀ + v₀t + 1/2 g t²

t = time after the toss
H(t) = height at any time after the toss
H₀ = height from which it's tossed
v₀ = initial speed
g = acceleration of gravity

I'm going to call 'UP' = the positive direction .
So ...

H₀ = +40 ft
v₀ = +54 ft/sec
g = -32 ft/sec²

When the object hits the ground, H(t) = 0 .
So you have ...

   0 = 40 + 54 t - 16 t²

Let me re-write that for you, to make it a
little easier and more familiar:

      - 16 t² + 54 t + 40 = 0

Divide each side by -2 :    8 t²   - 27 t - 20 = 0

Now go to your toolbox, pull out your quadratic formula,
solve that quadratic equation, and you'll get the usual two
solutions.

The positive one is the one you want.

The negative one refers to time before the toss, and may be discarded.

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An object launched vertically from a point that is 37.5 feet above ground level with an initial velocity of 48.6 feet per second can be represented by the equation h=−16t^2+48.6t+37.5, where h is the height of the object and t is the time after the object is launched. How long does it take the object to hit the ground?

Which equation can be simplified to find the inverse of y = 5x2+10?A. x = 5y2 + 10B. 1/y=5x^2+10C. –y = 5x2 + 10D. y= 1/5x^2+1/10

Numero que multiplicado por si mismo de 50