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3 years ago

Find the greatest common factor of 4c3 and 6m2.

Mathematics

1 answer:

Brums [2.3K]3 years ago

3 0

Answer:

The GCF is 2

Step-by-step explanation:

Here, we want to find the greatest common factors of the two terms

We have the terms written in terms of the products of their multiples as follows;

4c^3 = 2 * 2 * c * c* c

6m^2 = 2 * 3 * m * m

As we can see, the greatest common factor of the two is simple the value 2

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If 5x:(x-2) = 11:3 , find the value of x ?

Masteriza [31]

Answer:

x = -11/2

Step-by-step explanation:

The ratios need to stay the same

5x 11

----- = -------

x-2 3

Using cross products

5x*3 = (x-2) 11

15x = 11x - 22

Subtract 11 from each side

15x-11x = -22

4x = -22

x = -22/4

x = -11/2

5 0

2 years ago

Read 2 more answers

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 80 degrees at midnig

Vladimir [108]

Answer:

The equation is given by:

$D(t) = 80 + 9\sin{0.2618t}$

Step-by-step explanation:

Sine function:

Has the following format:

$y = A\sin{bx}$

In which A is the amplitude and $\frac{2\pi}{b}$ is the period.

Suppose you know the temperature is 80 degrees at midnight and the high and low temperature during the day are 89 and 71 degrees

This means that the amplitude of the sinusoidal variation function is 89 - 80 = 80 - 71 = 9. This means that $A = 9$

During a 24-hour day, which means that the period is 24. So

$\frac{2\pi}{b} = 24$

$24b = 2\pi$

$b = \frac{2\pi}{24}$

$b = 0.2618$

So the variation is:

$V(t) = 9\sin{0.2618t}$

Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.

Initial temperature of 80, so:

$D(t) = 80 + V(t) = 80 + 9\sin{0.2618t}$

8 0

3 years ago

Need help please on this one

OverLord2011 [107]

Answer: 3/2

==========================================================

Explanation:

Pick any two points on the red line. I'll pick (0,1) and (2,4)

Those coordinates will be plugged into the slope formula below

m = (y2 - y1)/(x2 - x1)

m = (4 - 1)/(2 - 0)

m = 3/2

This means we go up 3 and over to the right 2 when traveling along this red line.

8 0

2 years ago

The equation that represents this description is h = 20c + 60 because hours (h) is our dependent variable and cost (c) is our in

MrRissso [65]

Answer:

c= 20h + 60

Step-by-step explanation:

The correct dependent variable for this equation is "c" cost of Mr Z's tutoring. The independent variable is "h" hours of tutoring. This is because the independent variable h hours should determine the cost of tutoring c. Therefore the equation can be interpreted: if there are h hours of tutoring which cost 20 per hour, total cost is equal c. Also slope of the equation is 20, coefficient of h.

8 0

2 years ago

The drama club at Central sells hot chocolate and coffee at the high school football games. At the last game, they had sales of

xxTIMURxx [149]

Answer:

I could be wrong but the coffee is 200 and the hot choclet is 266.666666667

Step-by-step explanation:

I used math and a calculator.

3 0

2 years ago