How do I convert 45 mi to km???

The number of boys to the number of girls in the seventh grade is 5/7 . There are 125 boys in the seventh grade. What is the tot

VARVARA [1.3K]

5 boys because if you add 5x5x5

If 1 = 5, 2 = 25, 3 = 125, like dat

5 0

2 years ago

Need answer quick please answer quick

Natalka [10]

Answer : 1⅖ft.²

Given :-

Print is 7/8 ft wide and 1⅗ ft long .

To Find :-

The area of the print .

Here the length of the print is 1⅗ ft . So on converting this into improper fraction , we have ;

→ length = 1⅗ ft = (5*1+3)/5 ft = (5+3)/5ft = 8/5ft.

Also ,

→ breadth = 7/8ft .

We know that the area of a rectangle is ,

→ Area = length * breadth

On substituting the respective values,

→ Area = 8/5 ft. * 7/8ft

→ Area = 7/5 ft.²

After converting improper fraction into mixed fraction ,

→ Area = 1⅖ ft² .

Henceforth the area of the print is 1⅖ft.² .

I hope this helps.

6 0

2 years ago

For the function y=-1+6 cos(2pi/7(x-5)) what is the minimum value?

Ad libitum [116K]

Usually one will differentiate the function to find the minimum/maximum point, but in this case differentiating yields:
$\frac{2\pi}{7(x-5)^{2}}\sin{\frac{2\pi}{7(x-5)}}}$
which contains multiple solution if one tries to solve for x when the differentiated form is 0.

I would, though, venture a guess that the minimum value would be (approaching) 5, since the function would be undefined in the vicinity.

If, however, the function is
$-1+\cos{\frac{2\pi}{7}(x-5)}}$
Then differentiating and equating to 0 yields:
$\sin{\frac{2\pi}{7}(x-5)}}=0$
which gives:
$x=5$ or $8.5$

We reject x=5 as it is when it ix the maximum and thus,
$x=8.5\pm7n$ , for $n=0,\pm 1,\pm 2, ...$