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3 years ago

WhT is (3b) to the 3 power? I'll give you the brainest crown

Mathematics

2 answers:

ELEN [110]3 years ago

8 0

Answer:

27 b^3

Step-by-step explanation:

(3b) ^3

We can rewrite this as

3^3 * b^3

27 b^3

otez555 [7]3 years ago

6 0

Answer:

Step-by-step explanation:

(3b)³ = 3³·b³ = 27b³

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What is the value of the arithmetic series below?

RoseWind [281]

Answer:

- 494

Step-by-step explanation:

Breaking down the summation into it;s component parts

= 4k - $\frac{3}{2}$ k(k + 1) ← substitute k = 19

= (4 × 19 ) - 1.5 × (19 × 20)

= 76 - (1.5 × 380)

= 76 - 570

= 494

3 0

3 years ago

Read 2 more answers

PLEASE HELP!!!!

Paraphin [41]

Answer:

yes

Step-by-step explanation:

1 is smaller than ten

5 0

2 years ago

An actor invested some money at 5% simple interest, and $41,000 more than 4 times the amount at 9%. The total annual interest ea

NARA [144]

Answer:

The amount invested at 5%=$77,000
The amount invested at 9%=$349,000

Step-by-step explanation:

Let the amount invested at 5% simple interest =$x

He invested $41,000 more than 4 times the amount at 9%.

This amount is: $(4x+41000)

Total Annual Interest Earned = $35,260

Therefore, Time=1 year

Simple Interest $=\frac{Principal X Rate X Time}{100}$

Therefore, his total interest

=Interest from Investment 1 + Interest from Investment 2

$35260=\left(\frac{x*5*1}{100} \right)+\left(\frac{4x+41000*9*1}{100} \right)\\35260=0.05x+(0.36x+3690)\\35260-3690=0.05x+0.36x\\31570=0.41x\\\text{Divide both sides by 0.41}\\x=\$77000$

Therefore:

The amount invested at 5%=$77,000

The amount invested at 9%=$(4*77,000+41000)=$349,000

6 0

3 years ago

There are 12 cats and 11 dogs at the shelter. What is the ratio of cats to all animals?

qaws [65]

The ratio of cats to all animals is 12:23.

6 0

3 years ago

You have a wire that is 20 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The o

Aleksandr [31]

Answer:

Therefore the circumference of the circle is $=\frac{20\pi}{4+\pi}$

Step-by-step explanation:

Let the side of the square be s

and the radius of the circle be r

The perimeter of the square is = 4s

The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

$\Rightarrow s=\frac{10-\pi r}{2}$

The area of the circle is = πr²

The area of the square is = s²

A represent the total area of the square and circle.

A=πr²+s²

Putting the value of s

$A=\pi r^2+ (\frac{10-\pi r}{2})^2$

$\Rightarrow A= \pi r^2+(\frac{10}{2})^2-2.\frac{10}{2}.\frac{\pi r}{2}+ (\frac{\pi r}{2})^2$

$\Rightarrow A=\pi r^2 +25-5 \pi r +\frac{\pi^2r^2}{4}$

$\Rightarrow A=\pi r^2\frac{4+\pi}{4} -5\pi r +25$

For maximum or minimum $\frac{dA}{dr}=0$

Differentiating with respect to r

$\frac{dA}{dr}= \frac{2\pi r(4+\pi)}{4} -5\pi$

Again differentiating with respect to r

$\frac{d^2A}{dr^2}=\frac{2\pi (4+\pi)}{4}$ > 0

For maximum or minimum

$\frac{dA}{dr}=0$

$\Rightarrow \frac{2\pi r(4+\pi)}{4} -5\pi=0$

$\Rightarrow r = \frac{10\pi }{\pi(4+\pi)}$

$\Rightarrow r=\frac{10}{4+\pi}$

$\frac{d^2A}{dr^2}|_{ r=\frac{10}{4+\pi}}=\frac{2\pi (4+\pi)}{4}>0$

Therefore at $r=\frac{10}{4+\pi}$ , A is minimum.

Therefore the circumference of the circle is

$=2 \pi \frac{10}{4+\pi}$

$=\frac{20\pi}{4+\pi}$

4 0

3 years ago