The sum of 2/9 and 2 5/9 in simplest form is

Answer: The correct answer is D!

Step-by-step explanation:

Final answer:

The circumference of a DVD with an area of 36π cm^2 is 12π cm.

Explanation:

The question asks for the circumference of a DVD with an area of 36π cm2. The circumference C of a circle is related to its area A by the formula C = 2√(Aπ). In this case, we need to substitute the given area of the disc into the formula to calculate the circumference.

First, we'll start by plugging in the area into the formula:

C = 2 √(36π π)
C = 2 √(36)√(π)√(π)
C = 2 × 6 × π
C = 12π

Therefore, the circumference of the disc is 12π cm.

31.7 -2.9 = 28.8

31.7 + 2.9 = 34.6

 between 28.8 & 34.6 hours

D is the correct answer

The two possible original temperatures are 9 and - 9 degrees Celcius and the difference between the temperature is 18 degrees Celcius.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

It is given that:

A scientist finds the temperature of a sample at the beginning of an experiment is t degrees Celcius.

After 1 hour, the temperature is t² degrees Celcius. If the temperature after 1 hour is 81 degrees Celcius.

From the question:

t² = 81

Taking square root on both sides:

t = ±√81

t = ±9

t = 9 degrees Celcius

Or

t = -9 degrees Celcius

The difference between the temperature = (9) - (-9) = 18 degrees Celcius

Thus, the two possible original temperatures are 9 and - 9 degrees Celcius and the difference between the temperature is 18 degrees Celcius.

Learn more about quadratic equations here:

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Answer:

ummm its called a lender since that person is "lending" you something

Step-by-step explanation:

A person or company that allows others to borrow money is called a "lender".

A lender is a person, a group (public or private), or a financial organization that makes cash accessible to a person or business with the expectation of repayment. Payment of any interest or fees will be included in the repayment.

Repayment might take place in installments (such as a monthly mortgage payment) or as a flat amount. A mortgage is one of the largest loans that individuals obtain from lenders.

The loan duration varies depending on the type of debt. While some loans are for 1-2 years, the majority are for 6-12 months.

Thus, a person or company that allows others to borrow money is called a "lender".

To learn more about the Lender link is given below.

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The equation that represents the ellipse with the given coordinates of the center, one focus, and one directrix is x^2/144 + y^2/(25/12) = 1.

The equation that represents the ellipse with the center at (0, 0), one focus at (12, 0), and one directrix at x = 14 1/12 can be found using the standard form of the equation for an ellipse:

(x - h)^2/a^2 + (y - k)^2/b^2 = 1

where (h, k) is the center of the ellipse, a is the distance from the center to the vertices, and b is the distance from the center to the co-vertices.

Since the center is at (0, 0), the equation becomes:

x^2/a^2 + y^2/b^2 = 1

The distance from the center to one focus is 12, so the value of a is 12. To find the value of b, we need to use the distance from the focus to the directrix. Since the directrix is x = 14 1/12, the distance from the focus to the directrix is |14 1/12 - 12|. Simplifying, we get |14 1/12 - 12| = 2 1/12. Therefore, the value of b is 2 1/12.

Substituting these values into the equation, we get:

x^2/144 + y^2/(25/12) = 1

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January to November == 11 months.

11 flats are painted every year.

100 flats / 11 flats per year = 9 years + 1 month 

the next time it will be painted is September 2019.

Answer:

The answer is September 2019.

Step-by-step explanation:

In order to determine the date of the painting flat, we have to know how the painter works.

Every year, the painter paints 11 flats, because he paints one flat each month and he doesn't work in December.

Also, if we consider that "my flat" is currently in the first position, we have to wait until the painter paints the 100 position because the painter has to paint 99 flats more.

So, "my flat was painted in August 2010", then the painter paints 3 flats more that year (September, October, November).

Now we add more painted flats every year:

3+11+11+11+11+11+11+11+11=91

At beginning of 2019, the painter has painted 91 flats. So in 9 months later, the painter will be paint the 100 position, that is in September 2019.

Finally "my flat" will be painted in September 2019.

This is the answer that u seek

-5a^2b^5c^3

area = base x height

 base = 5

 and height = 7

 so area = 7*5 =35 square yards