All categories

3 years ago

Simplify this expression: (3s13)(9s-5)

Mathematics

2 answers:

MA_775_DIABLO [31]3 years ago

5 0

Step-by-step explanation:

$(3s^{13})(9s-5)\qquad\text{use the distributive property}\ a(b-c)=ab-ac\\\\=(3s^{13})(9s)-(3s^{13})(5)\\\\=27s^{14}-15s^{13}$

Lynna [10]3 years ago

3 0

Answer: 39s(9s-5)

Step-by-step explanation:

(3s*13) (9s-5)

remove the parenthesis ex: (a)=a

3s*13 (9s-5)

Multiply the numbers

39s(9s-5)

You might be interested in

What is a shape that has two parallel, congruent circular bases.

Veronika [31]

Answer:

prism

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

Can someone help me with these questions

Whitepunk [10]

1. C

3/8 = 0.375

Hope this helped.

8 0

3 years ago

What is all that is equivalent to 5x+(x+6)+3x

Trava [24]

Answer:

9x+6

Step-by-step explanation:

I think by equivalent, you mean solve it.

5x+(x+6)+3x

5x+x+6+3x, open the parenthesis

9x+6, add up the like terms

6 0

3 years ago

A small town has 2000 inhabitants. At 8 AM, 160 people have heard a rumor. By noon half the town has heard it. At what time will

QveST [7]

Answer:

3:36 PM

Step-by-step explanation:

Let fraction (y) of the people that heard the rumor , the differential equation that is satisfied by the by y is,

$\frac{dy}{dt} = ky(1-y)$

Solving the differential equation,

$y(t) = \frac{y_{o}}{[y_{o} + (1 + y_{o})e^{-kt}]}$

The total number of inhabitants of the town = 2000

The number of people that heard the rumor = 160

At 8 AM, let t = 0,

$y(0) = \frac{160}{2000}$

= 0.08

By noon, half of the town as heard the rumor.

Then,

$y(4) = \frac{1}{2}$

Therefore,

$\frac{1}{2} = \frac{0.08}{[0.08 + (1 - 0.08)e^{-4k}]}$

$\frac{0.08}{[0.08 + 0.92e^{-4k}]} = \frac{1}{2}$

$0.08 + 0.92e^{-4k} = 0.16$

$0.92e^{-4k} = 0.16 - 0.08$

$0.92e^{-4k} = 0.08$

$e^{-4k} = \frac {0.08}{0.92}$

$k = - \frac{1}{4} In(\frac {0.08}{0.92})$

k ≈ 0.06106

Calculating time, t when y(t) = 90%

⇒ y(t) = 0.9

$\frac{0.08}{[0.08 + 0.92e^{-0.06106t}]} =0.9$

$0.08 + 0.92e^{-0.06106t} = \frac {0.9}{0.08}$

$0.08 + 0.92e^{-0.06106t} = 0.089$

$0.92e^{-0.06106t} = 0.089 - 0.08$

$0.92e^{-0.06106t} = 0.0089$

$t = - \frac{1}{0.06106}In (\frac{0.0089}{0.92})$

t = 7.59 hours

⇒ 7 hours 36 minutes

From 8 A.M. plus 7 hours 36 minutes = 3:36 PM

At 3:36 PM will 90% of the population have heard the rumor

7 0

3 years ago

Choose the TRUE statements.

Shalnov [3]

Answer:

The absolute value of a number 35 units to the left of zero on a number line is 35.

The absolute value of a number 12 units to the left of zero on a number line is 12.

The absolute value of a number 125 units to the right of zero on a number line is 125.by-step explanation:

4 0

3 years ago

Read 2 more answers