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marta [7]
3 years ago
10

Simplify 4a^3 b^2 x 6a^6b^9

Mathematics
1 answer:
Ket [755]3 years ago
5 0

Answer:

24a^9 b^11

Step-by-step explanation:

4a ^{3} b ^{2}  \times 6a ^{6} b ^{9}  \\  = (4 \times 6)a ^{3 + 6}b ^{2 + 9}  \\  = 24a^{9} b^{11}

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Erin has 5 cans of juice and drinks 13 of a can daily. In how many days will she empty all the cans she has?
professor190 [17]

Answer:

15 days

Step-by-step explanation:

Don't you mean 1/3?  If so,

 5 cans

-------------------- = 15 days

1/3 can/daily

5 0
3 years ago
Cosmo’s family has a pool like this.
Verdich [7]

a. The volume of the pool is 27.483 m³

b.  The number of litres of water the pool will hold is 27483 L

c. The pool will fill at a rate of 50 L/min in 549.7 min

The pool is a cylinder, so, we need to find its volume

<h3>a. What is volume of the pool?</h3>

Since the pool is a cylinder, its volume is, V = πd²h/4 where

  • d = width of pool = 5.4 m and
  • h = height of pool = 120 cm = 1.20 m

So, V = πd²h/4

= π(5.4 m)² × 1.20 m/4

= π × 29.16 m² × 1.20 m/4

= 34.992π m³/4

= 8.748π m³

= 27.483 m³

So, the volume of the pool is 27.483 m³

<h3>b. How many litres of water will the pool hold?</h3>

Since the volume of the pool, V = 27.483 m³ and 1000 Litres = 1 m³

So, the volume of the pool in litres is V = 27.483 m³

= 27.483 × 1 m³

= 27.483 × 1 000 L

= 27483 L

So, the number of litres of water the pool will hold is 27483 L

<h3>c. How long will it take to fill the pool at a rate of 50 L/min?</h3>

Since the volume of the pool is V = 27483 L, the time it will take the pool to fill at a rate of 50 L/min is given by t = Volume/rate

= 27483 L/50 L/min

= 549.66 min

≅ 549.7 min

So, how long will it take to fill the pool at a rate of 50 L/min is 549.7 min

Learn more about volume of pool here:

brainly.com/question/11893973

#SPJ1

7 0
2 years ago
Complete the equation.<br> 2 x 4 =<br> x 2
LuckyWell [14K]

2x4=8

8x2=16

the answer is 16

6 0
1 year ago
This was an exceptionally dry year for portions of the southwestern United States. Monthly precipitation in Phoenix, Arizona, wa
Otrada [13]

Using the vertex of a quadratic function, it is found that Phoenix received the highest amount of precipitation on the month of May.

<h3>What is the vertex of a quadratic equation?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

(x_v, y_v)

In which:

x_v = -\frac{b}{2a}

y_v = -\frac{b^2 - 4ac}{4a}

Considering the coefficient a, we have that:

  • If a < 0, the vertex is a maximum point.
  • If a > 0, the vertex is a minimum point.

In this problem, the precipitation each month x in Phoenix is given by:

y = -0.04088x^2 + 0.4485x + 1.862

Hence the coefficients are a = -0.04088, b = 0.4485, c = 1.862, and the month for which the precipitation will be highest is given by:

x_v = -\frac{0.4485}{2(-0.04088)} = 5.48

Hence during the month of May.

More can be learned about the vertex of a quadratic function at brainly.com/question/24737967

4 0
3 years ago
Lauren, Rachel and Becca started a business over the summer. Their income was $500. The girls put in different amounts of work,
zloy xaker [14]

Answer:

Step-by-step explanation: total income=$500

Ratio of partition of money6:3:4

( Which gives that lauren gets 6x, rachel gets 3x and Becca gets 4x)

6x+3x+4x=500

13x=$500

X=500/13 ( transposition method)

x= 38.46

So lauren gets 6(38.46)… rachel gets 3(38.46)while Becca gets 4(38.46)…

Lauren= 230.76

Rachel=115.38

Becca= 153.84

3 0
3 years ago
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