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Hitman42 [59]
3 years ago
6

What is 1,296 divided by 36

Mathematics
1 answer:
ipn [44]3 years ago
7 0
1296 divided by 36 is 36.
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4. The population of Bay Village is 35,000 today. Every year the
frosja888 [35]

Answer:

Linear Model:   y(x)=35,000+750x

Step-by-step explanation:

In principle <em>Linear Models </em>are employed when we want to define a relationship between an independent and a dependent variable. <em>Linear Models</em> are also known as<em> Functions </em>, where one variable is expressed as a function of <em>at least one</em> other variable. The most common example would be a dependent variable y that is directly linked as a response to any changes of an independent variable x. The most common expression of such relationship would be y=ax where a is the relationship factor between y and x and is also known as the <em>slope </em>of the function (representing a rate of change of that function).

In this question we are told that the population of Bay Village today is 35,000. So we know this is our constant variable, lets call it  b.

Next we know that every year the population is increased by 750 people. So we know that our variable and thus our independent variable is every year which we shall call x and our fixed factor is the 750 increment which we will call a.  

From that we can conclude that:

<em>Year 1 Population: 35,000</em>

<em>Year 2 Population: 35,000 + 750 = 35,750</em>

<em>Year 3 Population: 35,750 + 750 = 36,500 </em>

And so on and so forth.<em> </em>

So we want to express the above as a Linear Model of the form:

<em> y = ax + b   </em>Eqn(1).

Thus from Eqn (1) and all information given (i.e. pluging in values) we finally obtain:

y(x)=35,000+750x

Which for every different value of  x (i.e. every year) we can obtain the new and increased population  y(x).

7 0
3 years ago
Which pair of complex numbers has a real-number product? (1 + 3i)(6i) (1 + 3i)(2 – 3i) (1 + 3i)(1 – 3i) (1 + 3i)(3i)
Kobotan [32]

Answer:

<h2>(1 + 3i)(1 – 3i) gives real number product</h2>

Step-by-step explanation:

Given the expressions

(1 + 3i)(6i) ,(1 + 3i)(2 -3i), (1 + 3i)(1 - 3i), (1 + 3i)(3i)

From analysis one of the following pairs has real-number products

(1 + 3i)(2 -3i), (1 + 3i)(1 - 3i)

Performing operations on

(1 + 3i)(2 -3i)= 2-3i+6-6i^2 \\= 2-3i+6-6(-1) \\=2-3i+6+6 \\=14-3i

Performing operations on

(1 + 3i)(1 - 3i) \\= 1-3i+3i-9(i)^2 \\= 1+0-9(-1) \\= 1+9=10

6 0
3 years ago
Please help us with this problem?? It’s question B.
pshichka [43]
NEXT = 0.01*NOW + NOW  - 0.009*NOW
NEXT = 0.01NOW + 1NOW  - 0.009NOW
NEXT = (0.01 + 1 - 0.009)NOW
NEXT = 1.001NOW

hope it helps
7 0
3 years ago
James is a fork-lift operator. He makes $11.50 an hour. Determine his gross earnings if he worked 56 hours in a week.
Elis [28]

Answer:

James makes $644 in a week.

Step-by-step explanation:

Multiply 56 x 11.50 = 644

56 is the hours he works in the week and 11.50 is how much he earns in an hour so you just multiply.

6 0
2 years ago
Read 2 more answers
A line contains the point (2, 5) and has a slope of −4 .
solniwko [45]

Answer:

y = -4x + 13

Step-by-step explanation:

y = mx + b

for point (2 , 5)     b = y - mx

b = 5 - ((-4) * 2) = 5 + 8 = 13

Equation: y = -4x + 13

3 0
3 years ago
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