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2 years ago

The side length of an equilateral triangle is 6x -12. Write an expression for the perimeter of the triangle.

Mathematics

1 answer:

MrRissso [65]2 years ago

6 0

Answer:

REUWYRPUWUTQWHRBQWJHiowqoryueggfkleHRJ

Step-by-step explanation:

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HELP ASAP PLEASE!! The table shows the numbers of ships that visited a port in the past 5 years. Identify a polynomial function

shtirl [24]

Answer: the answer 2nd one

8 0

2 years ago

Read 3 more answers

If X is a normal random variable with parameters µ = 10 and σ 2 = 36, compute

alex41 [277]

Answer:

Step-by-step explanation:

Given that X is a normal random variable with parameters µ = 10 and σ 2 = 36,

X is N(10, 6)

Or z = $\frac{x-10}{6}$

is N(0,1)

a) P(X > 5),

= $P(Z>-0.8333)\\=0.7977$

(b) P(4 < X < 16),

= $P(|z|$

= $P(Z$

(d) P(X < 20),

= $P(Z$

(e) P(X > 16).

=P(Z>-0.6667)

= 0.2524

6 0

2 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

2 years ago

find 40% of 60 using two different strageties, one of which must include a pictorial model or digram?pls help

igor_vitrenko [27]

One way would be to convert 40% into a fraction and multiply.

40% = 2/5

2/5 * 60 = 24

Drawing a diagram could involve drawing a whole (etc. a circle) and dividing it into fifths, then shading 2 of it with each section representing 12. Hope this helps!<span />

6 0

2 years ago

I will give you a brainlyist if you salve and 50 points and 5 stars plz help

Diano4ka-milaya [45]

Answer:

1. X= 56

2. X= -11/2 (When you solve you get this if you need it as a mixed number it's X= -5 1/2

Step-by-step explanation:

simplifying means: Reducing to lowest terms.

To solve for x simplify both sides of the equation, then isolate the variable.

4 0

2 years ago