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2 years ago

Help help help math math

Mathematics

1 answer:

Rina8888 [55]2 years ago

7 0

Answer:

100 cm³

Step-by-step explanation:

If you use 3 for π, then the factors of 3 cancel in the formula for volume, and you have ...

V = r²h

The radius is half the diameter, so is (10 cm)/2 = 5 cm. Filling in the given values, you find the volume to be ...

V = (5 cm)²(4 cm) = 100 cm³

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What is a number n is at least 4

beks73 [17]

That inequality can be written as n >= 4

The ">=" represents greater than or equal to. On paper you would just add a horizontal line under the ">" and not include the "="

3 0

3 years ago

What is the domain of f?

larisa86 [58]

Answer:

$\huge \boxed{\mathrm{A}}$

Step-by-step explanation:

The domain of a function is all possible values for the value of x.

The denominator in a rational function cannot equal to 0.

$x+2\neq 0$

Subtracting 2 from both sides.

$x\neq -2$

The domain of the function is all real numbers except -2.

7 0

3 years ago

your friend is choosing between two music download companies. MyTunes charges $2.50 per song. Great Songs charges $1.50 per song

vichka [17]

Answer:

After 100 songs

Step-by-step explanation:

2.50x=1.50x+50

.50x=50

÷.50

X=100

4 0

3 years ago

5. Which polynomial is equal to (x5 + 1) divided by (x + 1)?

Mkey [24]

Answer:

B $x^4-x^3+x^2-x+1$

Step-by-step explanation:

Given,

Dividend = $(x^5+1)$

Divisor = $(x+1)$

Step 1: First The dividend is $(x^5+1)$ and Divisor is $(x+1)$ when divided first time the quotient will be $x^4$ and remainder will be $-x^4+1$

Step: 2 Now the new dividend is $-x^4+1$ and Divisor is $(x+1)$ when divided the quotient will be $x^4-x^3$ and remainder will be $x^3+1$

Step: 3 Now the new dividend is $x^3+1$ and Divisor is $(x+1)$ when divided the quotient will be $x^4-x^3+x^2$ and remainder will be $-x^2+1$

Step: 4 Now the new dividend is $-x^2+1$ and Divisor is $(x+1)$ when divided the quotient will be $x^4-x^3+x^2-x$ and remainder will be $x+1$

Step: 5 Now the new dividend is $x+1$ and Divisor is $(x+1)$ when divided the quotient will be $x^4-x^3+x^2-x+1$ and remainder will be 0.

Hence When the polynomial $(x^5+1)$ is divided by $(x+1)$ the answer or quotient will be equal to $x^4-x^3+x^2-x+1$ and remainder will be 0.

5 0

2 years ago

Set up a double integral for calculating the flux of the vector field ????⃗ (????⃗ )=????⃗ , where ????⃗ =⟨x,y,z⟩, through the p

Tema [17]

Answer:

-937.5π

Step-by-step explanation:

F (r) = r = (x, y, z) the surface equation z = 3(x^2 + y^2) z_x = 6x, z_y = 6y the normal vector n = (- z_x, - z_y, 1) = (- 6x, - 6y, 1)

Thus, flux ∫∫s F · dS is given as;

∫∫ <x, y, z> · <-z_x, -z_y, 1> dA

=∫∫ <x, y, 3x² + 3y²> · <-6x, -6y, 1>dA , since z = 3x² + 3y²

Thus, flux is;

= ∫∫ -3(x² + y²) dA.

Since the region of integration is bounded by x² + y² = 25, let's convert to polar coordinates as follows:

∫(θ = 0 to 2π) ∫(r = 0 to 5) -3r² (r·dr·dθ)

= 2π ∫(r = 0 to 5) -3r³ dr

= -(6/4)πr^4 {for r = 0 to 5}

= -(6/4)5⁴π - (6/4)0⁴π

= -937.5π

4 0

3 years ago