A TV that normally cost $800 is on sale for 33% off. There is a 6% sales tax on the purchase. What is the final cost of the TV?

Haya la integral de xarcsenx/((1-x^2)^1/2). Utiliza la sustitución de t= arcsenx

ikadub [295]

Answer:

<em>Explicación más abajo</em>

Step-by-step explanation:

Integración Indefinida

La integral

$I=\int \dfrac{x .arcsen\left(x\right)}{\sqrt{1-x^2}}$

Se resuelve con el cambio de variables:

t=arcsen(x)

Una vez hechos los cambios, la integral se resuelve en función de t:

$I=sen(t)-t.cos(t)+C$

Hay que devolver los cambios para mostrarla en función de x.

El cambio de variables también se puede escribir:

x=sen(t)

Recordando que

$cos(t)=\sqrt{1-sen^2(t)}$

Entonces:

$cos(t)=\sqrt{1-x^2}$

Devolviendo los cambios:

$I=sen(t)-t.cos(t)+C=x-arcsen(x)\sqrt{1-x^2}+C$

Es la respuesta correcta

7 0

2 years ago

The following information was collected on 20 randomly chosen high school students, which compared their IQ score to musical apt

Mashcka [7]

Answer:

Y = 0.4925X - 22.26 ;

(-12.413, 13.398) ;

Yes, there is

Step-by-step explanation:

X = IQ Score ; Y = musical aptitude

The regression equation from the table given using the slope and intercept coefficient :

Y = 0.4925X - 22.26

0.4925 = slope ; Intercept = - 22.26

The 95% confidence interval of the slope :

Confidence interval = b ± Tcritical*SE

Tcritical at 95%, df = n - 2 = (20 - 2) = 18

Tcritical = 2.1009

b = slope Coefficient = 0.4925

S.E = 6.143

Hence, we have :

Confidence interval = 0.4925 ± (2.1009 * 6.143)

Confidence interval = 0.4925 ± 12.9058287

Lower boundary = 0.4925 - 12.9058287 = - 12.413

Upper boundary = 0.4925 + 12.9058287 = 13.398

(-12.413, 13.398)

There is a significant relationship between IQ score and musical aptitude because, 0 is within the confidence interval obtained.

6 0

3 years ago

-7(2-3x) help solve please

nadezda [96]

Answer:

-14+21x

Step-by-step explanation:

Distrubute

-7 times 2= -14

-7 times 3x= -21x

4 0

3 years ago

Read 2 more answers

The width of a rectangle field is 3h yards and its length is 3 yards longer than the width. The field has a fence around its per

d1i1m1o1n [39]

Answer:

Part a) $P=(12h+2)\ yd$

Part b) The expression that represent the cost of fencing the field is $(336h+56)$

Part c) $\$1,736$

Step-by-step explanation:

<u>The complete question in the attached figure</u>

Part a) we know that

The perimeter of the rectangular field (excluding the width of the gate) is equal to

$P=2(L+W)-4$

we have

$L=(3h+3)\ yd\\W=3h\ yd$

substitute the given values

$P=2(3h+3+3h)-4$

$P=2(6h+3)-4\\P=12h+6-4\\P=(12h+2)\ yd$

Part b) we know that

To find out the cost of fencing the field (excluding the gate) , multiply the perimeter by the cost of $28 per yard

so

$28(12h+2)=336h+56$

Part c) we have

h=5

substitute the value of h in the expression of the cost

$336(5)+56=\$1,736$

8 0

3 years ago

10 points Help Me Please I will give brainiest

Vaselesa [24]

Answer:

y-intercept = 5

8 0

2 years ago

A TV that normally cost $800 is on sale for 33% off. There is a 6% sales tax on the purchase. What is the final cost of the TV?​

A TV that normally cost $800 is on sale for 33% off. There is a 6% sales tax on the purchase. What is the final cost of the TV?