What is the least common denominator of the fractions 2/3, 1/4, 1/8 and ?

Mathematics

1 answer:

KiRa [710]3 years ago

3 0

Answer:

Step-by-step explanation:

That's the first number that all your denominators have in common.

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Identify the linear term in the function of y = 2x2 − 5x − 12

MakcuM [25]

Answer:

The linear term is -5x

Step-by-step explanation:

The linear term is the term that has the degree equal to 1.

The given function is

y = 2x^2 − 5x − 12

here 2x^2 = quadratic term i.e having degree 2

-5x = linear term i.e having degree 1

-12 = constant

so, The linear term is -5x

4 0

3 years ago

Write the polar coordinates (3, pi) in rectangular form. a. (0, 3) c. (-3, 0) b. (3, 0) d. (0, -3)

Misha Larkins [42]

In rectangular form, we have the coordinates $(3\cos\pi,3\sin\pi)=(3\cdot -1,3\cdot 0)=\boxed{(-3,0)}.$

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3 years ago

you place a cup of 200f coffee on a table in a room that is 67f and 10 minutes later it is 195f. approximately how long will it

kompoz [17]

Newton's law of cooling says the rate of change of temperature is proportional to the difference between the object's temperature and the temperature of the environment.

Here, the object starts out at 200 °F, which is 133 °F greater than the environment temperature. 10 minutes later, the object is 195 °F, so is 128 °F greater than the environment. In other words, the temperature difference has decayed by a factor of 128/133 in 10 minutes.

The solution to the differential equation described by Newton's Law of Cooling can be written as the equation
T(t) = 67 + 133*(128/133)^(t/10)
where T is the object's temperature in °F and t is the time in minutes from when the object was placed in the 67 °F environment.

The equation
T(t) = 180
can be solved analytically, but it can be a bit easier to solve it graphically. A graphing calculator shows it takes 42.528 minutes for the temperature of the coffee to reach 180 °F.