All categories

3 years ago

Help on this problem?? please?

Mathematics

1 answer:

Reptile [31]3 years ago

5 0

MrBillDoesMath!

Answer to #4: 81/256 * s^8 * t^ 12

Comments:

(7x^3) ^ (1/2) = 7 ^ (1/2) * x^(3/2) where ^(1/2) means the square root of a quantity. The answer written (7x^3) is NOT correct.

---------------------

(1) (27s^7t^11)^ (4/3)

= 27^(4/3) * (s^7)^(4/3) * (t^11)^ (4/3)

As 27 = 3^3, 27 ^(4/3) = 3^4 = 81

(2) (-64st^2)^ (4/3) = (-64)^(4/3) * (s^4/3) * t(^8/3)

As 64 = (-4)^3, (-64)^(4/3) = (-4)^4 = +256

So (1)/(2) =

81 * s^(28/3)* t^(44/3)

------------------------------- =

256 s^(4/3) * t^((8/3)

81/256 * s ^ (28/3 - 4/3) * t^(44/3 - 8/3) =

81/256 * s^(24/3) * t (36/3) =

81/256 * s^8 * t^ 12

MrB

You might be interested in

Help it’s due in 10 mind

aleksley [76]

Define the population, decide on the sample size (aka what percentage of that population)

3 0

2 years ago

The Blue Jays’ soccer field has 53 bleachers that can each seat exactly 12 people. The Tigers’ soccer field has 48 bleachers tha

andriy [413]

8 0

3 years ago

Read 2 more answers

Compute the surface area of the portion of the sphere with center the origin and radius 4 that lies inside the cylinder x^2+y^2=

Tom [10]

Answer:

16π

Step-by-step explanation:

Given that:

The sphere of the radius = $x^2 + y^2 +z^2 = 4^2$

$z^2 = 16 -x^2 -y^2$

$z = \sqrt{16-x^2-y^2}$

The partial derivatives of $Z_x = \dfrac{-2x}{2 \sqrt{16-x^2 -y^2}}$

$Z_x = \dfrac{-x}{\sqrt{16-x^2 -y^2}}$

Similarly;

$Z_y = \dfrac{-y}{\sqrt{16-x^2 -y^2}}$

∴

$dS = \sqrt{1 + Z_x^2 +Z_y^2} \ \ . dA$

$=\sqrt{1 + \dfrac{x^2}{16-x^2-y^2} + \dfrac{y^2}{16-x^2-y^2} }\ \ .dA$

$=\sqrt{ \dfrac{16}{16-x^2-y^2} }\ \ .dA$

$=\dfrac{4}{\sqrt{ 16-x^2-y^2} }\ \ .dA$

Now; the region R = x² + y² = 12

Let;

x = rcosθ = x; x varies from 0 to 2π

y = rsinθ = y; y varies from 0 to $\sqrt{12}$

dA = rdrdθ

∴

The surface area $S = \int \limits _R \int \ dS$

$= \int \limits _R\int \ \dfrac{4}{\sqrt{ 16-x^2 -y^2} } \ dA$

$= \int \limits^{2 \pi}_{0} } \int^{\sqrt{12}}_{0} \dfrac{4}{\sqrt{16-r^2}} \ \ rdrd \theta$

$= 2 \pi \int^{\sqrt{12}}_{0} \ \dfrac{4r}{\sqrt{16-r^2}}\ dr$

$= 2 \pi \times 4 \Bigg [ \dfrac{\sqrt{16-r^2}}{\dfrac{1}{2}(-2)} \Bigg]^{\sqrt{12}}_{0}$

$= 8\pi ( - \sqrt{4} + \sqrt{16})$

= 8π ( -2 + 4)

= 8π(2)

= 16π

4 0

2 years ago

Anita has a success rate of 80% on free throws in basketball. She wants to know the estimated probability that she can make exac

ivolga24 [154]

Answer:

Roll a six-sided die five times. The numbers 1 to 4 represent a make,

and numbers 5 and 6 represent a miss. (Correct)

Spin a spinner with three equal sections five times. On the spinner,

one section represents a miss and two sections represent a make. (Incorrect)

Generate a set of five numbers using a number generator with the numbers

0 to 9.The numbers 0 to 7 represent a make, and 8 and 9 represent a miss. (Correct)

Generate a set of five numbers using a number generator with the numbers

0 to 5.The numbers 0 to 3 represent a make, and 4 and 5 represent a miss. (Incorrect)

Spin a spinner with five equal sections five times. On the spinner, four sections represent a make and one section represents a miss. (Correct)

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

(+34)+(-48)+(-32)+(+26) =???

Evgen [1.6K]

Answer:

-20

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers