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3 years ago

5

2 gallons : 31 miles

2 answers:

yarga [219]3 years ago

8 0

15.5 hope this helps

Vika [28.1K]3 years ago

7 0

15.5, because 31 divided by 2 is 15.5. And all the other number divided by the number below them also turns out to be 15.5.

Hope this helps. :)

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What is the value of x

VashaNatasha [74]

Answer:

x = 40

Step-by-step explanation:

According to the Supplementary Angles Theorem, set <em>4x</em><em> </em><em>-</em><em> </em><em>20</em><em> </em>and <em>x</em><em> </em>equal to 180. Once done, combine like-terms to get <em>5x</em><em> </em><em>-</em><em> </em><em>20</em><em> </em><em>=</em><em> </em><em>180.</em><em> </em>So, straight off the bat, we know that <em>5x</em> has to equal 200 [bringing 20 over to the right side of the equivalence symbol], therefore 40 is equal to <em>x</em><em>.</em>

I am joyous to assist you anytime.

5 0

3 years ago

use Taylor's Theorem with integral remainder and the mean-value theorem for integrals to deduce Taylor's Theorem with lagrange r

Vadim26 [7]

Answer:

As consequence of the Taylor theorem with integral remainder we have that

$f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \cdots + \frac{f^{(n)}(a)}{n!}(x-a)^n + \int^a_x f^{(n+1)}(t)\frac{(x-t)^n}{n!}dt$

If we ask that $f$ has continuous $(n+1)$ th derivative we can apply the mean value theorem for integrals. Then, there exists $c$ between $a$ and $x$ such that

$\int^a_x f^{(n+1)}(t)\frac{(x-t)^k}{n!}dt = \frac{f^{(n+1)}(c)}{n!} \int^a_x (x-t)^n d t = \frac{f^{(n+1)}(c)}{n!} \frac{(x-t)^{n+1}}{n+1}\Big|_a^x$

Hence,

$\int^a_x f^{(n+1)}(t)\frac{(x-t)^k}{n!}d t = \frac{f^{(n+1)}(c)}{n!} \frac{(x-t)^{(n+1)}}{n+1} = \frac{f^{(n+1)}(c)}{(n+1)!}(x-a)^{n+1} .$

Thus,

$\int^a_x f^{(n+1)}(t)\frac{(x-t)^k}{n!}d t = \frac{f^{(n+1)}(c)}{(n+1)!}(x-a)^{n+1}$

and the Taylor theorem with Lagrange remainder is

$f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \cdots + \frac{f^{(n)}(a)}{n!}(x-a)^n + \frac{f^{(n+1)}(c)}{(n+1)!}(x-a)^{n+1}$ .

Step-by-step explanation:

5 0

3 years ago

A rectangle has the

SVEN [57.7K]

Answer:

15.5 inches

Step-by-step explanation:

Length of rectangle = 22 inches
Perimeter = 75 inches

To calculate : Width of the rectangle.

★ Perimeter of rectangle = 2( l + w )

→ 75 = 2(22 + w)

→ 75 = 44 + 2w

→ 75 – 44 = 2w

→ 31 = 2w

→ 31 ÷ 2 = w

→ <u>1</u><u>5</u><u>.</u><u>5</u><u> </u><u>inches</u><u> </u><u>=</u><u> </u><u>Width</u>

Therefore, width of the rectangle is 15.5 inches.

6 0

3 years ago

On a scale drawing,1 in represents 8 feet. What is the actual length of a room that measures 3.4 inches

Xelga [282]

Answer:

27.2 ft

Step-by-step explanation:

Since 1 in on the drawing = 8 ft, we should find out how much ft is 3.4 in.

So, to get from 1 to 8, we multiply by 8.

And since we multiply by 8, we also have to do it to the other part as well.

So we would do:

8 x 3.4 = 27.2

Hope this helps! :)

3 0

3 years ago

Solve: 5 + n > 2

tiny-mole [99]

$\\ \sf\longmapsto 5+n>2$

We have to find n
Take 5 to right side
sign will be changed

$\\ \sf\longmapsto n>2-5$

Simplify

$\\ \sf\longmapsto n>-3$

3 0

3 years ago