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3 years ago

The exponent on b when b^3 is multiplied by b^3 is

Mathematics

2 answers:

finlep [7]3 years ago

6 0

Answer:

Step-by-step explanation:

b³ · b³ = ( b³ )² = b⁽³⁾⁽²⁾ = b⁶

hence the exponent is 6

Nimfa-mama [501]3 years ago

3 0

Answer:

Step-by-step explanation:

When b^3 is multiplied by b^3, the bases are the same (b). That means that the exponents are added to each other. 3 + 3 = 6, so b^3 * b^3 = b^6.

Hope this helps!

You might be interested in

Each unit in the si system is how many times larger than the next smallest unit

Fantom [35]

The SI system is the Internation System of Units which contains kg, liters, cm, etc.

The answer is 10. Example: meters and decimeters, decimeters to centimeters, centimeters to millimeters

5 0

3 years ago

Suma doua numere este 702.Diferenta lor este un sfert din scazator .Afla cele doua numere dAU COROANA

Molodets [167]

Answer:

Cele două numere căutate sunt:

390
312

Step-by-step explanation:

Pentru a rezolva necunoscutul cu aceste două numere, trebuie create două ecuații cu două necunoscute X și Y cu informațiile obținute: În primul rând, știm că suma celor două numere este egală cu 702, prin urmare:

1. X + Y = 702

Apoi se menționează că diferența (adică scăderea) dintre cele două numere este egală cu un sfert din numărul cel mai mic, pentru a avea o referință, vom identifica variabila Y ca fiind cel mai mic număr, deci a doua ecuație ar fi:

2. X - Y = 0,25Y sau Y / 4

Ștergem variabila X în a doua ecuație:

X - Y = 0,25Y
X = 0,25Y + Y
X = 1,25Y

Ecuația 1 este acum folosită cu X-ul șters:

X + Y = 702
1,25Y + Y = 702
2,25Y = 702
Y = 702 / 2,25
Y = 312

Acum, din moment ce se știe că este X = 1.25Y, valoarea lui Y este înlocuită și obținem:

X = 1,25Y
X = 1,25 * 312
X = 390

8 0

3 years ago

I am a part of a whole I am greater than 3/4 but less than 9/10. I am a decimal with 3 in the hundredths place. What number am I

Alborosie

Answer:

"You" are 0.83.

(Alternative fraction version: 83/100)

Step-by-step explanation:

First, let's turn 3/4 and 9/10 into decimals.

3/4 becomes 0.75, and 9/10 becomes 0.9.

We know that it has to be a decimal, and we also know it must be greater than 0.75 but less that 0.9.

It can't be 0.73, since that's less than 0.75. It also can't be 0.93, since that's over 0.9. That means we're left with 0.83.

Our final answer is 0.83, AKA 83/100.

8 0

3 years ago

A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing for the other three sides

givi [52]

Answer:

x = 28 m

y = 14 m

A(max) = 392 m²

Step-by-step explanation:

Rectangular garden A (r ) = x * y

Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.

the perimeter of the rectangle is p = 2*x + 2*y ( but in this particular case only one side x will be fencing with wire

56 = x + 2*y 56 - 2*y = x

A(r) = ( 56 - 2*y ) * y

A(y ) = 56*y - 2*y²

Tacking derivatives on both sides of the equation we get:

A´(y ) = 56 - 4 * y A´(y) = 0 56 - 4*y = 0 4*y = 56

y = 14 m

and x = 56 - 2*y = 56 - 28 = 28 m

Then dimensions of the garden:

x = 28 m

y = 14 m

A(max) = 392 m²

How do we know that the area we found is a local maximum??

We find the second derivative

A´´(y) = - 4 A´´(y) < 0 then the function A(y) has a local maximum at y = 14 m

4 0

3 years ago

Please list how long it takes for each person to pack a shelf alone

vaieri [72.5K]

It takes Jay, Elle and Kay to work individually for 70 minutes, 105 minutes and 52.5 minutes respectively

<h3>What is Rate and Ratio ?</h3>

A ratio can sometimes be regarded as fraction. While rate has something to do with time.

Given that Jay and Kay can pack the shelves in one aisle of the supermarket in 30 minutes. Kay and Elle take 35 minutes to do the same job. When Jay and Elle work together, the job takes 42 minutes.

Let

J = Jay

K = Kay

E = Elle

The interpretation of the question go thus;

1/J + 1/K = 1/30 ........ (1)

1/K + 1/E = 1/35 .........(2)

1/J + 1/E = 1/42 .........(3)

Make 1/J and 1/E the subject of formula in equation 1 and 2 respectively and substitute them in equation 3

1/J = 1/30 - 1/K ........ (4)

1/E = 1/35 - 1/K .........(5)

1/30 - 1/K + 1/35 - 1/K = 1/42

Collect the like terms

- 1/K - 1/K = 1/42 - 1/30 - 1/35

-2/K = (35 - 49 - 42)/1470

-2/K = -56/1470

1/K = 28/1470

Reciprocate both sides

K = 1470/28

K = 52.5 minutes.

Substitute K in both equation 4 and 5

1/J = 1/30 - 28/1470

1/J = (49 - 28)/1470

1/J = 21/1470

Reciprocate both sides

J = 1470/21

J = 70 minutes

1/E = 1/35 - 28/1470

1/E = (42 - 28)/1470

1/E = 14/1470

Reciprocate both sides

E = 1470/14

E = 105 minutes

Therefore, it takes Jay, Elle and Kay to work individually for 70 minutes, 105 minutes and 52.5 minutes respectively

Learn more about Rate here: brainly.com/question/8728504

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7 0

2 years ago