Write an inequality for the situation. No more than 5 books are in your backpack.

Describe and correct the error in finding the area of a sector with a radius of 6 centimeters and a central angle of 40

Jet001 [13]

Answer:

12.56

Step-by-step explanation:

Remark

Since we don't have anything other than the question, all I can do is answer the question. You are left with the task of figuring out the error.

Formula

Area = (central angle divided by 360 ) * pi r^2

Solution

Area = (40 /360) * 3.14 * 6^2

Area = 1/9 * 3.14 * 36

Area = 4 * 3.14

Area = 12.56

8 0

3 years ago

Write a definite integral that represents the area of the region. (Do not evaluate the integral.)

joja [24]

Answer:

$\int_{-1}^{1}7(x^{3}-x)\:dx$

Step-by-step explanation:

1) The other curve is $y=0$ then the common points of both curves are x-intercepts, the roots of $y=7(x^{3}-x)$

$y=7(x^{3}-x)\Rightarrow 7(x^3-x)=0 \Rightarrow 7(x^{3}-x)=7x(x-1)(x-1)\Rightarrow \\S=\left ( 0,0 \right ),\left ( -1,0 \right ),\left ( 1,0 \right )$

2). Then those intersection points are the upper and the lower limits. Plugging in to this formula for they belong to the interval [-1,1]:

$\int_{a}^{b}|f(x)-g(x)dx$

$\int_{a}^{b}|f(x)-g(x)dx \Rightarrow \int_{-1}^{1}|7(x^{3}-x)-0|dx \Rightarrow \int_{-1}^{1}7(x^{3}-x)\:dx$

8 0

3 years ago

I need help with this question.

Papessa [141]

Answer:

It's A, c =2.5d

Step-by-step explanation:

When it comes to problems like this, I usually look through the answers and try to plug in the numbers until I get the right equation that fits with the graph.

2.5(5) = 12.5

2.5(10)= 25

2.5(15)= 37.5

2.5(20) = 50

2.5(25) = 62.5

If you compare this to the graph, you'll notice the solutions are the same as the Total Cost (c). That's because c= 2.5d is the right equation for this graph. (Sorry if my explanation is confusing)

5 0

3 years ago

Describe the error(s) that occurred and show the correct solution.

RideAnS [48]

Answer:

$-x^{2}+4x$

Step-by-step explanation:

we have

$(x^{2}+x)-(2x^{2} -3x)$

step 1

Eliminate the parenthesis

$x^{2}+x-2x^{2} +3x$

The symbol of the term 3x is incorrect, must be positive instead of negative

so

$-(-3x)=+3x$

Group terms that contain the same variable

$(x^{2}-2x^{2})+(x+3x)$

Combine like terms

$-x^{2}+4x$

6 0

3 years ago

Graph the function -2x+5y=10

loris [4]

An equation of the form ax+by+c=0, where x, y are variable, and a, b, c are numbers, is called a "linear equation"

the reason we call it linear, is that all solutions (x, y) to this equation, when plotted in the x-y axis, form a line.

To draw this line, 2 points are enough, that is 2 solutions (x, y) of the equation.

-------------------------------------------------------------------------------------------------

-2x+5y-10=0 is a linear equation (a=-2, b=5, c=-10)

to find 2 solutions, we set x or y any value we want, and solve for the other

for example:

let x=0,

then

-2x+5y-10=0 becomes 5y-10=0, so y=2

this gives us the solution (0, 2)

another example; set y=0

then -2x+5y-10=0 becomes -2x-10=0; -2x=10 so x=-5

thus another solution is (-5, 0)

Draw these 2 points, and join them with a line, as shown in the figure.

6 0

3 years ago