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3 years ago

Simplify:

e="\sqrt{36} - \sqrt{6} + \sqrt{126}" alt="\sqrt{36} - \sqrt{6} + \sqrt{126}" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Andrej [43]3 years ago

4 0

The answer is option (A)
Here’s the solution
Hope you understand it!!

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Hoping someone will help me out

pogonyaev

Answer:

It does not converge

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

One term of a geometric sequence is a4=135. The common ratio is r=3. Write an explicit rule for the nth term.

Anni [7]

Answer:

$a_{n} = 5 * 3^{n-1}$

Step-by-step explanation:

To find the nth term of a geometric sequence, you have the general formula:

$a_{1} *r^{n-1}$

where a1 is the first term and r is the common ratio. In order to find the 4th term, we can substitute what we have(n is 4 because we are looking for the fourth term):

135 = $a_{1} * 3^{4 - 1}$

135 = $a_{1} * 3^3$

135 = $27a_{1}$

$a_{1} = 5$

Now, we can substitute the first term back in:

$a_{n} = 5 * 3^{n-1}$

8 0

3 years ago

HELPPPPPPP :)))))))))

vodka [1.7K]

Answer:

624ft

Step-by-step explanation:

Surface Area of a Triangular Prism (A) = b*(h + l) + 2*l*s

4 0

3 years ago

Read 2 more answers

ella is making 3 batches of banana milkshake she needs 3/4 gallon of milk for each bath.Her measuring cup holds 1/4 gallon.How m

Dmitry [639]

1 batch need 3/4 gallon of milk

She has 1/4 gallon cup

(3/4) divided by (1/4)

A technique in math is just flip the divider which is (1/4) to (4/1)
so it becomes (3/4) multiply (4/1) = (3x4) / (4x1) = 12/4 = 3 times for one batch

She needs three batches so 3 x 3 = 9 times to fill the measuring cup to make all 3 batches of milkshake.

3 0

4 years ago

- Polynomial Functions -For each function, state the vertex; whether the vertex is a maximum or minimum point; the equation of t

vladimir2022 [97]

EXPLANATION

Given the function f(x) = (x-6)^2 + 1

$\mathrm{The\: vertex\: of\: an\: up-down\: facing\: parabola\: of\: the\: form}\: y=ax^2+bx+c\: \mathrm{is}\: x_v=-\frac{b}{2a}$

Expanding (x-6)^2 + 1 by applying the Perfect Square Formula:

$=x^2-12x+37$ $\mathrm{The\: parabola\: params\: are\colon}$ $a=1,\: b=-12,\: c=37$ $x_v=-\frac{b}{2a}$ $x_v=-\frac{\left(-12\right)}{2\cdot\:1}$ $\mathrm{Simplify}$ $x_v=6$ $y_v=6^2-12\cdot\: 6+37$

Simplify:

$y_v=1$

$\mathrm{Therefore\: the\: parabola\: vertex\: is}$ $\mleft(6,\: 1\mright)$ $\mathrm{If}\: a$ $\mathrm{If}\: a>0,\: \mathrm{then\: the\: vertex\: is\: a\: minimum\: value}$ $a=1$ $\mathrm{Minimum}\mleft(6,\: 1\mright)$ $\mathrm{For\: a\: parabola\: in\: standard\: form}\: y=ax^2+bx+c\: \mathrm{the\: axis\: of\: symmetry\: is\: the\: vertical\: line\: that\: goes\: through\: the\: vertex}\: x=\frac{-b}{2a}$

Expanding (x-6)^2 + 1 by applying the Perfect Square Formula:

$y=x^2-12x+37$ $\mathrm{Axis\: of\: Symmetry\: for}\: y=ax^2+bx+c\: \mathrm{is}\: x=\frac{-b}{2a}$ $a=1,\: b=-12$ $x=\frac{-\left(-12\right)}{2\cdot\:1}$ $\mathrm{Refine}$

Axis of simmetry : x=6

The quadratic function has the same shape than the parent function y=x^2 because there is NOT a coefficient within x.

3 0

1 year ago