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dedylja [7]
3 years ago
11

What is the product of (4n-5)(4n-4)

Mathematics
2 answers:
Andrej [43]3 years ago
8 0

Answer:

Step-by-step explanation:

To figure this out imma show you a much easier way they is called a box method and i want you to creat a box and put on the top (4n-5) know on the other side where there is a red line on the paper put (4n-4) know this box method is simple all u have to do is multiply its simple and easy if you ever get stuck on something like this you can always use the box method.

Aloiza [94]3 years ago
7 0

Answer:

16n^2 -36n+20

Step-by-step explanation:

You have to distribute,

so multiply 4n x 4n = 16n^2

then 4n x -4 = -16n

-5 x 4n = -20n combine with -16 = -36n

-5 x -4 = 20

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How do you convert repeating decimals to fractions
irga5000 [103]

Answer:

the answer is 30/99, which simplifys to 10/33

Step-by-step explanation:

Hope this helps. You always change the denomiter to 99 for repeating decimal. Good luck

4 0
3 years ago
Read 2 more answers
Apopulation grows from its initial levelof 22,000 at a continuous growth rcte of 7.1% per year.a) Write a function to model the
solong [7]

Answer:

a) P(t) = 22000(1.071)^{t}

b) The population increases 7.1% each year.

Step-by-step explanation:

The continuous population growth model is given by:

P(t) = P_{0}(1+r)^{t}

In which P(t) is the population after t years, P_{0} is the initial population and r is the growth rate.

In this problem, we have that:

A population grows from its initial levelof 22,000 at a continuous growth rcte of 7.1% per year.

This means that P_{0} = 22000, r = 0.071

a) Write a function to model the population increase.

P(t) = 22000(1 + 0.071)~{t}

P(t) = 22000(1.071)^{t}

b) By what percent does the populaiion increase each year?

r = 0.071

So the population increases 7.1% each year.

6 0
3 years ago
What is the coefficient of x5y5 in the expansion of (x + y)10?
butalik [34]

Answer:

C=252

Step-by-step explanation:

Given:

x^5y^5

(x+y)^10

Find the coefficient of x^5y^5

To get the coefficient of x^5y^5,

we will put r = 5, in the below given general term.

The general term is : nCr =x^ry^n-r

We get:

Coefficient is = 10C5

= 10!/5!*5!

= 252

The coefficient of x^5y^5 is 252

C. 252

4 0
3 years ago
Read 2 more answers
A certain forest covers an area of 2100 km². Suppose that each year this area decreases by 3.5%. What will the area be after 5 y
Blizzard [7]

Answer:

\large\boxed{\sf \ \ \ 1757 \ km^2 \ \ \  }

Step-by-step explanation:

Hello,

<em>I would recommend that you checked the answers I have already provided as this is the same method for all these questions, and maybe try to solve this one before you check the solution.</em>

<u>At the beginning the area is 2100</u>

<u>After one year</u> the area will be

   2100*(1-3.5%)=2100*0.965

<u>After n years</u> the area will be

   2100\cdot0.965^n

So after 5 years the area will be

   2100\cdot0.965^5=1757.34027...

So rounded to the nearest square kilometer is 1757

Hope this helps

8 0
3 years ago
Read 2 more answers
What is -5.3125 in The real Number System?
Irina18 [472]

Answer:

It'd be a rational number

Step-by-step explanation:

<em>Real numbers are a set of numbers containing all of the rational numbers and all of the irrational numbers. </em>

Types of numbers <u>in the rational number "section" are decimals, whole, mixed, and fraction numbers whether they are negative or positive they are rational numbers.</u>

Irrational numbers are numbers that cannot be expressed as the ratio of two integers. So they would be square root, pi and more.

8 0
2 years ago
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