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2 years ago

Division of two quantities is expressed as the ____ of those two quantities.

Mathematics

1 answer:

andreev551 [17]2 years ago

6 0

Division of two quantities is expressed as the quotient of those two quantities.

The word quotient is derived from the Latin language. It is from the Latin word "quotiens" which means "how many times." A quotient is the answer to a divisional problem. A divisional problem describes how many times a number will go into another. The first time that this word was known to have been used in mathematics was around 1400 - 1500 AD in England.

There are two different ways to find the quotient of two numbers. One of them is through Fractions. The quotient of a fraction is the number obtained when the fraction is simplified. The other way to find a quotient is by employing the long division method where the quotient value is positioned above the divisor and dividend.

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After a dreary day of rain, the sun peeks through the clouds and rainbow forms. You notice the rainbow is the shape of a parabol

lisabon 2012 [21]

Answer:

We are given that,

The equation of the rainbow is represented by the parabola,

$y=-x^2+36$

Now, we are required to find a linear equation which cuts the graph of the parabola at two points.

Let us consider the equation joining the points (-6,0) and (0,36), given by $y=6x+36$ .

So, the corresponding table for the linear equation is given by,

x $y=6x+36$

-6 0

0 36

1 42

6 72

Now, we will answer the questions corresponding the functions.

1. Domain and Range of the rainbow.

Since, the equation of the rainbow is $y=-x^2+36$

So, from the figure, we get that,

Domain is the set of all real numbers.

Range is the set $\{ y|y\leq 36 \}$

Here, domain represents the points which are used to plot the path of the rainbow and range represents the points which are form the rainbow.

Not all points make sense in the range as the parabola is opening downwards having maximum point as (0,36).

2. X and Y-intercepts of the rainbow.

As, the 'x and y-intercepts are the points where the graph of the function cuts x-axis and y-axis respectively i.e. where y=0 and x=0 receptively'.

We see that from the figure below,

X-intercepts are (-6,0) and (6,0) and the Y-intercept is (0,36)

Here, these intercepts represents the point where the parabola intersects the individual axis.

3. Is the linear function positive or negative.

As the linear function is $y=6x+36$ represented by the upward flight of the drone.

So, the linear function is a positive function.

4. The solution of the system of equations is the intersection points of their graphs.

So, from the figure, we see that the equations intersect at the points (-6,0) and (0,36).

Thus, the solution represents the position when both the drone and rainbow intersect each other.

8 0

2 years ago

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James works as a waiter. He served meals with bills of $23.59, $40.65, $30.50, and $15.68. If his total for tips was $17.67, wha

mr_godi [17]

1. James works as a waiter.
He served food with the following price
=> 23.59 dollars
=> 40.65 dollars
=> 30.50 dollars
=> 15.68 dollars
Let’s add this altogether:
=> 23.59 + 40.65 + 30.50 + 15.68
=> 110.42 the total of the ordered food.
Now, James received a tip of 17.67 dollars. Find the interest rate of his tip.
=> 110.42 * .50 = 55.21, thus the interest rate of tip is less than 50%
=> You can do trial and error to get the correct rate,
=> 110.42 * .16 = 17.67, thus he received 16% tip

3 0

2 years ago

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An attempt to establish a video call via some social media app may fail with probability 0.1. If connection is established and i

xxMikexx [17]

Answer:

(1). y = x ~ Exp (1/3).

(2). Check attachment.

(3). EY = 3(1 - e^-2).

(4). Var[y] = 3(1 - e^-2) (1 -3 (1 - e^-2)) - 36e^-2.

Step-by-step explanation:

Kindly check the attachment to aid in understanding the solution to the question.

So, from the question, we given the following parameters or information or data;

(A). The probability in which attempt to establish a video call via some social media app may fail with = 0.1.

(B). " If connection is established and if no connection failure occurs thereafter, then the duration of a typical video call in minutes is an exponential random variable X with E[X] = 3. "

(C). "due to an unfortunate bug in the app all calls are disconnected after 6 minutes. Let random variable Y denote the overall call duration (i.e., Y = 0 in case of failure to connect, Y = 6 when a call gets disconnected due to the bug, and Y = X otherwise.)."

(1). Hence, for FY(y) = y = x ~ Exp (1/3) for the condition that zero is equal to y = x < 6.

(2). Check attachment.

(3). EY = 3(1 - e^-2).

(4). Var[y] = 3(1 - e^-2) (1 -3 (1 - e^-2)) - 36e^-2.

The condition to follow in order to solve this question is that y = 0 if x ≤ 0, y = x if 0 ≤ x ≤ 6 and y = 6 if x ≥ 6.

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2 years ago

Task #3: Fuel for Thought-Student Activity Sheet Part 1

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

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2 years ago

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Julia owes her dad $12.she wants a new blouse that just went on sale,do she borrow $20 from her sister.she pays her father $5 an

myrzilka [38]

the complete question is
Julia owes her dad $12. She wants a new blouse that just went on sale, so she borrows $20 from her sister. She pays her father $5 and spends the rest on the blouse. Which statement is true?
A. Julia’s money status is $8 because she started at –$12 and borrowed $20.
B. Julia’s money status is –$7 because she started at –$12, got $20, but only paid $5 of her debt.
C. Julia’s money status is –$27 because she started at –$12, borrowed $20, but paid off $5.
D. Julia’s money status is –$32 because she began at –$12 and borrowed $20.

we know that
Julia owes her dad $12 already and again she borrowed $20 from her sister
So,
total debt = $12+$20=$ 32.
And,
she paid $5 only to her father.
So,
Her money status is
-32+5 = -$27

the answer is the option
C. Julia’s money status is –$27 because she started at –$12, borrowed $20, but paid off $5.

4 0

2 years ago

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