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3 years ago

Choose the correct product -6p^3(3p^2+5p-1)

2 answers:

8 0

Remember the Distributive Property, which says that the multiplication of a single term and an addition/subtraction sequence can be simplified as follows:

$a(b \pm c) = ab \pm ac$

Thus, in this case, we can apply the $-6p^3$ term to each term in the addition sequence $3p^2 + 5p - 1$ , as follows:

$-6p^3 (3p^2 + 5p - 1)$

Set up

$(-6p^3)(3p^2) + (-6p^3)(5p) - (-6p^3)(1)$

Apply the Distributive Property

$-18p^5 - 30p^4 + 6p^3$

Simplify

The answer would be -18p⁵ - 30p⁴ + 6p³.

timurjin [86]3 years ago

5 0

Answer:

-8244.58939707

YOUR WELCOME #caculator

Step-by-step explanation:

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The radius of the base of a cylinder is decreasing at a rate of 121212 kilometers per second. The height of the cylinder is fixe

WARRIOR [948]

Answer:

7536 $km^3/sec$

Step-by-step explanation:

Given that:

Rate of decreasing of radius = 12 km/sec

Height of cylinder is fixed at = 2.5 km

Radius of cylinder = 40 km

To find:

The rate of change of Volume of the cylinder?

Solution:

First of all, let us have a look at the formula for volume of a cylinder.

$Volume = \pi r^2h$

Where $r$ is the radius and

$h$ is the height of cylinder.

As per question statement:

$r$ = 40 km (variable)

$h$ = 2.5 (constant)

$\dfrac{dV}{dt} = \dfrac{d}{dt}\pi r^2h$

As $\pi, h$ are constant:

$\dfrac{dV}{dt} = \pi h\dfrac{d}{dt} r^2\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2 r\dfrac{dr}{dt} \\$Putting the values:$\\\Rigghtarrow\dfrac{dV}{dt} = 3.14 \times 2.5\times 2 \times 40\times 12 \\\Rigghtarrow\dfrac{dV}{dt} = 7536\ km^3/sec$

4 0

3 years ago

The number of bacteria (b) in a batch of refrigerated food is given by the function b(t) = 20t2 − 70t + 300, where t is the temp

laiz [17]

1. Collect like terms
20t^2 + (-70 + 300)
2. Simplify
20t^2 + 230

4 0

3 years ago

In the accompanying figure. ABCD is a square. LaTeX: AB=5x-10 A B = 5 x − 10 and LaTeX: BC=2x+20. B C = 2 x + 20. Find the value

jek_recluse [69]

Answer:
x = 10

Explanation:
A square is a quadrilateral in which all sides are equal.

We are given that:
ABCD is a square
AB = 5x - 10
BC = 2x + 20

Since we're talking about a square, therefore:
AB = BC
5x - 10 = 2x + 20
5x - 2x = 20 + 10
3x = 30
x = 30/3
x = 10

Now, we can check our solution:
AB = 5(10) - 10 = 40 units
BC = 2(10) + 20 = 40 units
We can see that both sides are equal

Hope this helps :)

8 0

4 years ago

Which of the following is the solution set of 18 - 3n + 2 = n + 20 - 4n?

zepelin [54]

I hope this helps you

20-3n=20-3n

-3n+3n=20-20

0=0

6 0

4 years ago

Read 2 more answers

find the area of a regular hexagon with an apothem 10.4 yards long and side 12 yards long. Round your answer to the nearest tent

OLga [1]

Answer:

The area of a regular hexagon with an apothem 10.4 yards long and side 12 yards long is 124.80 yards²