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3 years ago

pls answer I'll mark brainliest the question is in the picture also show me how you solved the problem.

Mathematics

1 answer:

zzz [600]3 years ago

3 0

Answer:

D 36πa^6b^9

Step-by-step explanation:

Step 1. Write the formula for the volume of a sphere.

V = (4/3)πr³

Step 2. Replace r with the given radius. Since the given radius is an expression, remember to enclose it in parentheses and cube the entire expression.

V = (4/3)π(3a²b³)³

Step 3. Simplify the expression. Start by cubing each factor inside the parentheses.

V = (4/3)π ×(3)³(a²)³(b³)³

To raise an exponent to an exponent, multiply the exponents.

V = (4/3)π × 27a^6b^9

V = (4/3 × 27)πa^6b^9

V = 36πa^6b^9

Answer: D 36πa^6b^9

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Work out the value of R. Give your answer in standard form to an appropriate degree of accuracy.

Mumz [18]

Answer:

R = 8,228,571.43 (Approx)

Step-by-step explanation:

Given:

R = x²/y

x = 4.8 x 10⁵

y = 2.8 x 10⁴

Find:

Value of R

Computation:

R = x²/y

R = (4.8 x 10⁵)²/ (2.8 x 10⁴)

R = 23.04 x 10¹⁰ / (2.8 x 10⁴)

R = 8.22857.. x 10⁶

R = 8,228,571.43 (Approx)

4 0

3 years ago

The curved urface area of a cone i 140π cm2. What will be the radiu of a cone whoe lant height i 5 cm

VashaNatasha [74]

The radius of a cone with a curved surface area of 140π cm² and a slant height of 5 cm will be 28 cm.

<h3>What is curved surface area?</h3>

The region with just curved surfaces, leaving the circular top and base, is referred to as the curved surface area. Total Surface Area is the combined area of the bases and the curved surface. The measurement of a solid's curved surface area is its outer area, which excludes the top and bottom extensions. Surface area of the cylinder that is curved: A right circular cylinder is the solid that results when a rectangle circles around one side and makes a full revolution. The curved surface area of a cylinder (CSA) is also known as the lateral surface area and is defined as the area of the curved surface of any given cylinder having a base radius "r" and height "h".

Here,

Curved surface area of cone=πrl

=140π

l=5 cm

140π=πr*5

r=140/5

r=28 cm

The radius of cone that has 5 cm as slant height and 140π cm² as the curved surface area will be 28 cm.

To know more about curved surface area,

brainly.com/question/1037971

#SPJ4

7 0

2 years ago

What is the vertex of the graph of f(x) = |x + 3| + 7? (3, 7) (7, 3) (–3, 7) (7, –3)

ArbitrLikvidat [17]

Answer:

(-3,7)

Step-by-step explanation:

7 0

4 years ago

ALGEBRAIC EXPRESSION, FACTORIZATION AND IDENTITIES... pls help me in this... (2)

boyakko [2]

Step-by-step explanation:

i was busy so i did this much ...will solve later

6 0

3 years ago

Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a two-parameter family of solu

Alisiya [41]

Let $y=C_1x+C_2x^3=C_1y_1+C_2y_2$ . Then $y_1$ and $y_2$ are two fundamental, linearly independent solution that satisfy

$f(x,y_1,{y_1}',{y_1}'')=0$
$f(x,y_2,{y_2}',{y_2}'')=0$

Note that ${y_1}'=1$ , so that $x{y_1}'-y_1=0$ . Adding $y''$ doesn't change this, since ${y_1}''=0$ .

So if we suppose

$f(x,y,y',y'')=y''+xy'-y=0$

then substituting $y=y_2$ would give

$6x+x(3x^2)-x^3=6x+2x^3\neq0$

To make sure everything cancels out, multiply the second degree term by $-\dfrac{x^2}3$ , so that

$f(x,y,y',y'')=-\dfrac{x^2}3y''+xy'-y$

Then if $y=y_1+y_2$ , we get

$-\dfrac{x^2}3(0+6x)+x(1+3x^2)-(x+x^3)=-2x^3+x+3x^3-x-x^3=0$

as desired. So one possible ODE would be

$-\dfrac{x^2}3y''+xy'-y=0\iff x^2y''-3xy'+3y=0$

(See "Euler-Cauchy equation" for more info)

6 0

4 years ago

pls answer I'll mark brainliest the question is in the picture also show me how you solved the problem.​

pls answer I'll mark brainliest the question is in the picture also show me how you solved the problem.