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3 years ago

11

Two couples (adam/brenda and carl/darlene) have bought tickets for four adjacent seats to see a musical. in how many ways can th

e couples be seated if the men sit on opposite ends?

1 answer:

DochEvi [55]3 years ago

7 0

One second I know this :)

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Identifying angles from three points

USPshnik [31]

we need to identify the angle GFE

We will connect the yellow dots beside the point F which are on the line segments FG and FE

See the following picture:

8 0

1 year ago

What is a third-degree binomial?

ankoles [38]

Answer:

B and D

Step-by-step explanation:

<em>Binomial = 2 terms in the expression</em>
<em>Third degree = highest added degree of variables in one term</em>

(A) It has 3 terms and highest degree of 4. It is trinomial of degree 4.

No

(B) It has 2 terms and highest degree of 3. It is binomial of degree 3.

Yes

(C) It has 2 terms and highest degree of 7. It is binomial of degree 7.

No

(D) It has 2 terms and highest degree of 3. It is binomial of degree 3.

Yes

8 0

3 years ago

An items price went from 15 to 8. What was the percent decrease

ryzh [129]

Answer:

46.6%

Step-by-step explanation:

15 - 8 = 7

7/15 = 0.466666...

4.666... x 100 = 46.6%

8 0

3 years ago

Read 2 more answers

Find all the values of x in the set of complex numbers that satisfy the following equation:

Fynjy0 [20]

Compute all the component integrals first:

$I_1=\displaystyle\int_0^{\pi/4}2\sec x\,\mathrm dx=2\ln(\sqrt2+1)$
$I_2=\displaystyle\int_0^2\ln x\,\mathrm dx=2(\ln2-1)$
$I_3=\displaystyle\lim_{a\to\infty}\int_{-a}^a\frac{\mathrm dx}{x^2+1}=\pi$

Now,

$\sqrt2\approx1.4\implies \sqrt2+1\approx2.4$
$\implies \left\lceil I_1\right\rceil=2$

$e$
$\implies\left\lfloor I_2\right\rfloor=-1$

$\pi\approx3.14\implies\left\lceil I_3\right\rceil=4$

So the given equation reduces to

$\displaystyle\sum_{k=-1}^2\frac{\mathrm d}{\mathrm dx}x^{k+2}=1-4!$
$\dfrac{\mathrm dx}{\mathrm dx}+\dfrac{\mathrm dx^2}{\mathrm dx}+\dfrac{\mathrm dx^3}{\mathrm dx}+\dfrac{\mathrm dx^4}{\mathrm dx}=-23$
$4x^3+3x^2+2x+24=0$

a fairly standard cubic. Incidentally, when $x=-2$ , the LHS reduces to 0, so $x+2$ is a factor of the cubic. You can find the remaining two solutions easily with the quadratic formula.

5 0

2 years ago

Factor x2+4x-12

Phantasy [73]

<span>that's how you factor (x+6), x-2</span>

8 0

3 years ago