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kaheart [24]
2 years ago
7

How do I divide numbers by using long division. ​

Mathematics
1 answer:
Vsevolod [243]2 years ago
3 0

The only rule to follow is

Divide dividend by divisor and the mention the quotient and things left after remains in place of remainder

Here is a sample

\sf\Large\qquad\quad16\\ \begin{array}{cc} \cline{2 - 2}\sf 20 )&\sf \ 327\\&\sf - 20 \downarrow\\ \cline{2-2}& \sf \ \ \ \ 127\\ &\sf \ - 120 \\ \cline{2-2} & \sf \ \007 \\ \cline{2-2} \end{array}\\\\\\ \sf Divisor \rightarrow 20 \\ \\ \sf Quotient \rightarrow 16\\\\ \sf Remainder \rightarrow 7

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The function f is defined by f(x)=2.1x−1.7. Use this formula to find the following values of f. f(x+2)
Yuki888 [10]

The value of f(x+2)=2.1x+2.5

Step-by-step explanation:

Given: The function f(x)=2.1x-1.7

Using this formula, we need to find the value of f(x+2)

Hence, we need to substitute x by x+2 to find the value of f(x+2)

f(x+2)=2.1(x+2)-1.7

Multiplying the term (x+2) by 2.1, we get,

f(x+2)=2.1x+4.2-1.7

Adding the constant term,

f(x+2)=2.1x+2.5

Thus, the value of f(x+2) is f(x+2)=2.1x+2.5

8 0
3 years ago
Find the indefinite integral. (Note: Solve by the simplest method—not all require integration by parts. Use C for the constant o
umka2103 [35]

Answer:

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-1/2  ln⁡(1+x^2 )+C

Step-by-step explanation:

∫▒〖1st .2nd dx=1st∫▒〖2nd dx〗-∫▒〖(derivative of 1st) dx∫▒〖2nd dx〗〗〗

Let 1st=arctan⁡(x)

And 2nd=1

∫▒〖arctan⁡(x).1 dx=arctan⁡(x) ∫▒〖1 dx〗-∫▒〖(derivative of arctan(x))dx∫▒〖1 dx〗〗〗

As we know that  

derivative of arctan(x)=1/(1+x^2 )

∫▒〖1 dx〗=x

So  

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-∫▒〖(1/(1+x^2 ))dx.x〗…………Eq1

Let’s solve ∫▒(1/(1+x^2 ))dx by substitution now  

Let 1+x^2=u

du=2xdx

Multiply and divide ∫▒〖(1/(1+x^2 ))dx.x〗 by 2 we get

1/2 ∫▒〖(2/(1+x^2 ))dx.x〗=1/2 ∫▒(2xdx/u)  

1/2 ∫▒(2xdx/u) =1/2 ∫▒(du/u)  

1/2 ∫▒(2xdx/u) =1/2  ln⁡(u)+C

1/2 ∫▒(2xdx/u) =1/2  ln⁡(1+x^2 )+C

Putting values in Eq1 we get

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-1/2  ln⁡(1+x^2 )+C  (required soultion)

3 0
3 years ago
Read 2 more answers
How many solutions are there in this equation 8 (x-3)=8x-24
kari74 [83]
Performing the indicated multiplication on the left side gives you:

8x-24=8x-24,

8x=8x

1=1 

These expressions are true for any real value of x and thus has infinitely many solutions...
3 0
3 years ago
Read 2 more answers
5. Amy deposited $7,000 in a bank account earning 3.5% interest, compounded
Semenov [28]

Answer:

Step-by-step explanation:

Given the following data;

Principal = $7,000

Interest = 3.5% = 3.5/100 = 0.035

To find the future value, we would use the compound interest formula;

A = P(1 + \frac{r}{n})^{nt}

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

A = 7000(1 + \frac{0.035}{n})^{nt}

7 0
3 years ago
What would the equation be for finding out which skate board ramp is taller?
jeka94
Draw triangles within the ramps and since they are right triangles, use the pythagorean theorem based on what was given and solve
5 0
3 years ago
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