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2 years ago

Convert 3/11 to a decimal using long division

1 answer:

7 0

Hi There!

3/11 converted to a decimal would be 0.27272727272. This the answer because you have to divide 3 by 11, to make it easier remember the method "cowboy" and the "horse". The "cowboy" would be the numerator and the "horse" would be the denominator. The "cowboy" is always the dividend and the "horse" is always the divisor. In this case 3 is the dividend or "cowboy" and 11 is the divisor or "horse". So when you divide 3 by 11 you should get the answer 0.27272727272.

Hope This Helps :)

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In the problem 62 × 45, what are the partial products?

Nana76 [90]

In the problem 62 times 45 the partial numbers are 6 and 5

4 0

3 years ago

GIVING 20 POINTS AND A BRAINLIEST!!!! (Really need help please!)

Murljashka [212]

Answer:

Step-by-step explanation:

General form of quadratic equation:

ax^2+bx+c=0

ax^2+bx=-c

To complete the square, we will divide the coefficient of x in the general quadratic equation as written above and divide by 2

I'm the question;

x^2-20x+13=0

x^2-20x=-13

The coefficient of x =-20

Divide the coefficient by 2 and square the result afterwards

-20/2= - 10

(-10)^2= 100

Add 100 to both sides of the equation

x^2-20x+100=-13+100

x^2-20x+100=87

x^2-10x-10x+100=87

x(x-10)-10(x-10)=87

(x-10)(x-10)=87

(x-10)^2=87

Answer is 10,87

8 0

2 years ago

Hi, can you help to find (all the roots/zeros), please!!!

OLga [1]

Solution

Given the quadratic equation

$x^2-2x-38=0$

we need to find the zeros of the equation

To do that, we use the completing the square method

Step 1. Add 38 to both sides

$\begin{gathered} \Rightarrow x^2-2x-38+38=38 \\ \\ \Rightarrow x^2-2x=38 \end{gathered}$

Step 2: add the square of half of the coefficient of x to both sides

That is;

$\begin{gathered} \Rightarrow x^2-2x+(\frac{1}{2}\cdot(-2))^2=38+(\frac{1}{2}\cdot(-2))^2 \\ \\ \Rightarrow x^2-2x+1=38+1 \\ \\ \Rightarrow x^2-2x+1=39 \\ \\ \Rightarrow(x-1)^2=39 \end{gathered}$

Step 3: Simplify the above expression;

$\begin{gathered} \Rightarrow x-1=\pm\sqrt[]{39} \\ \\ \Rightarrow x=1\pm\sqrt[]{39} \end{gathered}$

4 0

7 months ago

Although still a sophomore at college, John O'Hagan's son Billy-Sean has already created several commercial video games and is c

Scilla [17]

Answer:

27 feet for the south wall and 18 feet for the east/west walls

Maximum area= $486\ ft^2$

Step-by-step explanation:

Optimization

This is a simple case where an objective function must be minimized or maximized, given some restrictions coming in the form of equations.

The first derivative method will be used to find the values of the parameters that control the objective function and the maximum value of that function.

The office space for Billy-Sean will have the form of a rectangle of dimensions x and y, being x the number of feet for the south wall and y the number of feet for the west wall. The total cost of the space is

C=8x+12y

The budget to build the office space is $432, thus

$8x+12y=432$

Solving for y

$\displaystyle y=\frac{432-8x}{12}$

The area of the office space is

$A=xy$

Replacing the value found above

$\displaystyle A=x\cdot \frac{432-8x}{12}$

Operating

$\displaystyle A= \frac{432x-8x^2}{12}$

This is the objective function and must be maximized. Taking its first derivative and equating to 0:

$\displaystyle A'= \frac{432-16x}{12}=0$

Operating

$432-16x=0$

Solving

$x=432/16=27$

$x=27\ feet$

Calculating y

$\displaystyle y=\frac{432-8\cdot 27}{12}$

$y=18\ feet$

Compute the second derivative to ensure it's a maximum

$\displaystyle A'= \frac{-16x}{12}$

Since it's negative for x positive, the values found are a maximum for the area of the office space, which area is

$A=xy=27\ ft\cdot 18\ ft\\\\\boxed{A=486\ ft^2}$

5 0

3 years ago

A certain rumor spreads through a community at the rate dy/dt= 2y(1−y) , where y is the proportion of the population that has he

ss7ja [257]

Answer:

1/2 or 50% of the population has heard the rumor when it is spreading fastest.

Step-by-step explanation:

We need to take the derivative with respect to y from the r(y) = dy/dt = 2y(1-y) and equal to zero. At this condition we maximize the function and will get the maximum of the rumor spreading.

$\frac{d(r(y))}{dy}=2-4y=0$

Therefore we just need to find y:

$y=2/4=1/2$

So 1/2 or 50% of the population has heard the rumor when it is spreading fastest.

I hope it helps you!

3 0

3 years ago