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3 years ago

8

The GCFof any two even numbers is always even determine whether the statement is true or false if true explain why if false give

a reason

1 answer:

Citrus2011 [14]3 years ago

3 0

That's not true because the GCF of 9 and 12 are both three and three is an odd number

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Round the number 13.734 to the nearest whole<br>number (positive integer).

loris [4]

Answer: 14
The number to the right of the decimal point is either 5 or greater than that, so the 13 is increased by 1 which results in 14.

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3 years ago

F(x)=4x-3<br> G(x)=x^3+2x<br> Find (f-g)(x)

dexar [7]

You gotta remember that $(f-g)(x)$ means $f(x) - g(x)$ .

So, in this case, f(x) is [4x - 3], g(x) is [x^3 + 2x].
So that : f(x)-g(x) = [4x-3] - [x^3+ 2x] = -x^3 + 4x - 2x - 3 = -x^3 + 2x - 3

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3 years ago

A rectangle initially has dimensions 6 cm by 7 cm. All sides begin increasing in length at a rate of 1 cm/s. At what rate is the

Morgarella [4.7K]

Answer:

49 cm²/s

Step-by-step explanation:

The problem statement tells you what to do.

Write an equation relating A, b, h:

A = bh . . . . . . the equation for the area of a rectangle

Differentiate with respect to t:

dA/dt = (db/dt)h + b(dh/dt) . . . . . . . product rule

To find the rate of change after 18 seconds, you need to know the dimensions b and h after 18 seconds. Since each dimension was increasing at the rate of 1 cm/s, it is 18 cm more than it was at the beginning:

At 18 seconds,

b = 6 cm + 18 cm = 24 cm;

h = 7 cm + 18 cm = 25 cm.

Of course, db/dt = dh/dt = 1 cm/s. Then the rate of change of area is ...

dA/dt = (1 cm/s)(25 cm) + (24 cm)(1 cm/s)

dA/dt = 49 cm²/s

_____

You could write a formula for the area as a function of time and differentiate that:

A = (6 +t)(7 +t) = 42 + 13t + t²

Then the derivative is ...

dA/dt = 13 +2t

and when t=18, this is ...

dA/dt = 13 + 2(18) = 49 . . . . cm²/s

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3 years ago

Why do you think the cart rolls farther when it starts from a higher position?

Afina-wow [57]

Answer:

It has higher PE which can be converted into kinetic energy. The car also has had more work done on it when its at a higher position.

Step-by-step explanation:

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3 years ago

Read 2 more answers

A cylindrical tank has a radius of 15 feet and a height of 45 feet. How many cubic feet of water can the tank hold?

ch4aika [34]

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\quad 
\begin{cases}
r=15\\
h=45
\end{cases}\implies V=\pi \cdot 15^2\cdot 45$

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4 years ago