In Miami the number of highway accidents increased by 20% over a four year period. How many accidents were there in 2013 if there were 5,120 in 2009?

The value of \(x\) that makes the equation true is

To find the value of \(x\) that makes the equation true, you need to simplify the equation and solve for \(x\). Let's break down the steps:

1. **Distribute the -5 on the left side:**

2. **Move the constant term (100) to the right side by subtracting 100 from both sides:**

3. **Finally, divide both sides by -5 to solve for \(x\):**

To verify, substitute \(x = 13\) back into the original equation:

The equation is true when \(x = 13\).

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Answer:

x=13

Step-by-step explanation:

Divide both sides by -5 then solve the equation for x

Answer:

Step-by-step explanation:

Hello,

This is the equation of a line so if you know two points of the line you can graph it, right?

For x = 0 y = -3 so the point A (0,-3) is on the graph

For x = 3 y =-4 so the point B (3,-4) is on the graph

And then you can draw the line as below

Thanks

Answer:

V = π (-2 (ln 2)² + 4 ln 2 − 1)

V ≈ 2.55

Step-by-step explanation:

V = π ∫₁² (1 − (ln x)²) dx

V/π = ∫₁² (1 − (ln x)²) dx

V/π = ∫₁² dx − ∫₁² (ln x)² dx

V/π = x |₁² − ∫₁² (ln x)² dx

V/π = 1 − ∫₁² (ln x)² dx

To evaluate the second integral, integrate by parts.

If u = (ln x)², then du = 2 (ln x) / x dx.

If dv = dx, then v = x.

∫ u dv = uv − ∫ v du

= (ln x)² x − ∫ x (2 (ln x) / x) dx

= x (ln x)² − 2 ∫ ln x dx

Integrate by parts again.

If u = ln x, then du = 1/x dx.

If dv = dx, then v = x.

∫ u dv = uv − ∫ v du

= x ln x − ∫ x (1/x dx)

= x ln x − ∫ dx

= x ln x − x

Substitute:

∫ (ln x)² dx = x (ln x)² − 2 ∫ ln x dx

∫ (ln x)² dx = x (ln x)² − 2 (x ln x − x)

∫ (ln x)² dx = x (ln x)² − 2x ln x + 2x

Substitute again:

V/π = 1 − ∫₁² (ln x)² dx

V/π = 1 − (x (ln x)² − 2x ln x + 2x) |₁²

V/π = 1 + (-x (ln x)² + 2x ln x − 2x) |₁²

V/π = 1 + (-2 (ln 2)² + 4 ln 2 − 4) − (-1 (ln 1)² + 2 ln 1 − 2)

V/π = 1 − 2 (ln 2)² + 4 ln 2 − 4 + 2

V/π = -2 (ln 2)² + 4 ln 2 − 1

V = π (-2 (ln 2)² + 4 ln 2 − 1)

V ≈ 2.55

Answer:

357 mi²

Step-by-step explanation:

The shape is made of a triangle and a half-square

we will calculate the area of each one

• The half square:

let A1 be the area of the half-circle:

A1= (10²*π)/2 = 50π mi²

• The rectangle:

Let A2 be the area of the triangle:

A2= 10*20=200 mi²

• The whole shape:

let At be the total area:

At =A1+A2= 200+50π =357.07≈ 357 mi²

Final answer:

To solve the system of equations by graphing, plot the given points on a coordinate plane and find the intersection point.

Explanation:

To solve the system of equations by graphing, we can plot the given points on a coordinate plane and see where the lines intersect. From the given points, we can see that the lines intersect at approximately (-1.1, 3.2). So, the solution to the system of equations rounded to the nearest tenth is (-1.1, 3.2).

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Answer:  Answer:The solution to the given system of equations is (2.8,0.1)

Step-by-step explanation: I got it correct on the Unit Test