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3 years ago

Rita is hiking along a trail that is 15.8 miles long. So far she has hiked along one-tenth of the trail. How far has Rita hiked?

Mathematics

1 answer:

Phantasy [73]3 years ago

8 0

The answer is 1.58 miles

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The length of a rectangle is 15 and its width is w.

Fed [463]

A rectangle with sides 15 and w has perimeter

$2p = 2(15+w) = 2w+30$

We want this quantity to be at most 50, so it must be less than or equal to 50:

$2w+30\leq 50$

For the record, this implies that

$2w\leq 20 \iff w \leq 10$

So, the width can be at most 10.

6 0

3 years ago

Read 2 more answers

Can someone help.....

tatyana61 [14]

Answer:

Step-by-step explanation:

formula for circumference of a circle is $\pi$ d

7 $\pi$ = $\pi$ d

d = 7

5 0

3 years ago

Which function describes the arithmetic sequence shown?<br> 1,-2, -5, -8, -11, ...

antiseptic1488 [7]

Answer:

a(n)=1+(n-1)(-3)

Step-by-step explanation:

Notice there's a common difference of d=-3.

If we use the formula a(n)=a1+(n-1)d to find the nth term given the first term and the common difference, we will see that the function that describes the arithmetic sequence as a(n)=1+(n-1)(-3)

6 0

2 years ago

Find a closed-form solution to the integral equation y(x) = 3 + Z x e dt ty(t) , x > 0. In other words, express y(x) as a fun

MrMuchimi

Answer:

$y{x} = \sqrt{7+2Inx}$

Step-by-step explanation:

$y(x)= 3 + \int\limits^x_e {dx}/ \, ty(t) , x>0}$

Let say; By y(x)= y(e)

we have;

$y(e)= 3 + \int\limits^e_e {dt}/ \, ty= 3+0$

Using Fundamental Theorem of Calculus and differentiating by Lebiniz Rule:

$y^{1} (x) = 0 + 1/ xy$

$y^{1} = 1/xy$

dy/dx = 1/xy

$\int\limits {y} \, dxy = \int\limits \, dx/x$

$y^{2}/2 Inx + C$

RECALL: y(e) = 3

$(3)^{2} / 2 = In (e) + C$

$\frac{9}{2} =In(e)+C$

$\frac{9}{2} - 1 = C$

$\frac{7}{2} = C$

$y^{2} / 2 = In x +C$

$y^{2} / 2 = In x +7/2$

MULTIPLYING BOTH SIDE BY 2 , TO ELIMINATE THE DENOMINATOR, WE HAVE;

$y^{2} = {7+2Inx}$

$y{x} = \sqrt{7+2Inx}$

8 0

3 years ago

How do you find the area of the field in <br> terms of x

Alex_Xolod [135]

Hello from MrBillDoesMath!

Answer: 104x^2 + 166x + 66

Discussion:

The area of a rectangle is given by "length" * "width". For us the formula becomes

(13x + 11) * (8x+6)

13x (8x +6) + 11 * (8x + 6) =

(13x * 8x + 13x* 6) + ( 11*8x + 11*6) =

(104x^2 + 78x ) + (88x + 66) =

104x^2 + (78x + 88x) + 66 =

104x^2 + 166x + 66

Thank you,

MrB

4 0

3 years ago