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Aleks04 [339]
2 years ago
12

If the order of a matrix A is 2×3 and order of AB is 2×4 then, find the order of matrix B.​

Mathematics
1 answer:
marshall27 [118]2 years ago
4 0
I think it’s 2x1 hope this helps
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Find the product.<br><br> (-5a ^2)^3·a ^5<br><br> A)-15a10<br> B)-125a11<br> C)15a6<br> D)-125a10
Ber [7]

Answer:

  B)  -125a^11

Step-by-step explanation:

(-5a^2)^3·a^5 = (-5)^3·a^6·a^5

  = (-5)^3·a^(2·3)·a^5

  = (-5)^3·a^6·a^5

  = -125·a^(6+5)

  = -125·a^11 . . . . matches choice B

_____

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

5 0
2 years ago
Read 2 more answers
A large appliance such as a water heater is only running when it has clicked on and is actually heating water. The time your wat
mafiozo [28]

a) Total cost (per day) ≈ $1.40

​b) Total cost (per year) ≈ $510

c) New annual cost = $327

d) The number of years that the water heater pays for itself is; approximately 4 years

<h3>How to calculate Energy Bill?</h3>

Wattage per hour = 4200 Watts per hour

Number of hours per day = 3 hours

Cost per unit = $0.11 per kilowatt-hour

Savings rate = 36%

Cost water heater = $1,100

a) The total wattage is the product of the wattage per hour and the number of hours;

Total wattage (per day) = Wattage per hour × Number of hours

= 4,200 watts per hour × 3 hours

= 12,600 watt-hours

= 12.6 kilowatt-hours

​

The total cost is then the product of the total wattage and the cost per unit:

Total cost (per day) = Total wattage × Cost per unit

Total cost (per day) = 12.6 kilowatt-hours × $0.11 per kilowatt-hour

Total cost (per day) = $1.386

Total cost (per day) ≈ $1.40

​

b) The total cost in a year is the product of the total cost in a day and the number of days in a year. There are 365 days in a year (assuming no leap year).

Total cost (per year) = Total cost (per day) × Number of days in a year

Total cost (per year) = $1.40 × 365

Total cost (per year) = $511

Total cost (per year) ≈ $510

​

c) We are told that this new water heater saves 36% of annual cost. Thus;

Amount saved = 36% * 510 = $183.6

Thus;

New annual cost = $510 - $183 = $327

d) The number of years that the water heater pays for itself is;

1100/327 = 3.36 or approximately 4 years

Read more about Energy Costs at; brainly.com/question/14277272

#SPJ1

6 0
1 year ago
In Ms. Craig’s class, 75% of the students are boys. There are 18 boys in the class. What is the total number of students in Ms.
topjm [15]

Answer:

24

Step-by-step explanation:

75% of x = 18

75/100 * x = 18 (x =  total number of students)

solving

x = 24

total number of students = 24

Checking:

75/100 * 24 = 18

5 0
3 years ago
4.5 rounded to the nearest hole number
Snowcat [4.5K]

Answer: 5

Step-by-step explanation:

5 0
2 years ago
Mrs. Jones bought 6 kilograms of rice. After filling 10 containers with the same
9966 [12]

There are 514 gram rice in each container.

Step-by-step explanation:

Given,

Amount of rice = 6 kg

1 kg = 1000 g

6 kg = 6*1000 = 6000 g

Number of containers  = 10

Rice left = 860 g

Let,

x be the amount in each container.

Total amount of rice - Number of containers*Amount in each container = Amount of rice left

6000-10x=860\\6000-860=10x\\5140=10x\\10x=5140

Dividing both sides by 10

\frac{10x}{10}=\frac{5140}{10}\\x=514

There are 514 gram rice in each container.

Keywords: linear equation, division

Learn more about division at:

  • brainly.com/question/2670657
  • brainly.com/question/2821386

#LearnwithBrainly

8 0
3 years ago
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