2+2?<br> please answer i need to graduate from highschool

Factorise 125x^3 -27y^3

telo118 [61]

Answer:

(5x - 3y)(25x² +15xy + 9y²)

Step-by-step explanation:

125x³ - 27y³ is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²)

Given

125x³ - 27y³

= (5x)³ - (3y)³

= (5x - 3y)((5x)² + (5x)(3y) + (3y)²)

= (5x - 3y)(25x² + 15xy + 9y²)

6 0

3 years ago

An insurance policy sells for $1000. Based on past data, an average of 1 in 50 policyholders will file a $20,000 claim, an avera

Scrat [10]

The expected value (to the company) per policy sold is $630 and the expected profit is $6,300,000.

<h3>Expected value</h3>

a. Expected value of the claim:

Expected value=20,000 (1/200)+30,000(1/200)+60,000(1/500)

Expected value=100+150+120

Expected value=370

Expected value of the company profit:

Expected value=1,000-370

Expected value=630

b. If the company sells 10,000 policies the expected profit is:

Expected profit=10,000×630

Expected profit=$6,300,000

Therefore the expected value (to the company) per policy sold is $630 and the expected profit is $6,300,000.

Learn more about expected value here:brainly.com/question/24305645

#SPJ1

The complete question is:

An insurance policy sells for $1000. Based on past data, an average of 1 in 50 policyholders will file a $20,000 claim, an average of 1 in 200 policyholders will file a $30,000 claim, and an average of 1 in 400 policyholders will file a $60,000 claim.

a. Find the expected value (to the company) per policy sold.

b. If the company sells 10,000 policies, what is the expected total profit or loss for the company?

6 0

2 years ago

A sector of a circle has an arc length of π cm and a central angle of π/6 radians. What is the area of the sector?A. 3π cm²B. 2π

inn [45]

Our problem involves the properties and formulas involving a sector.

A sector is a part of a circle it is like a slice of a pie or a cake.

To find the area of a sector we must have its central angle and radius. But in our problem, the central angle is given but there is no sign of radius being given. So first we have to find the radius of our circle.

To find the radius of our circle we can use the given Arc length of the circle. An Arc Length of a Circle (S) is given by the formula:

$S=\theta r$

Where S is the arc length, θ is the Central angle in radians, and r is the raduis. Since we already have a value for S and θ. We can now find the value of r, or the radius.

$\begin{gathered} S=\theta r \\ \pi=\frac{\pi}{6}(r) \\ 6\pi=\pi r \\ 6=r \end{gathered}$

Therefore we now know that the radius of the circle is 6 cm.

Now that we know the radius of the circle we can now find its area using the formula:

$A=\frac{\theta r^2}{2}$

Where A is the area, θ is the central Angle, and r is the radius.

$\begin{gathered} A=^{}\frac{\theta r^2}{2} \\ A=\frac{(\frac{\pi}{6})(6)^2}{2} \\ A=\frac{\pi6}{2} \\ A=3\pi \end{gathered}$

Therefore the answer is 3π cm². Which is OPTION A.

5 0

2 years ago

What is the approximate side length of each square

alexandr1967 [171]

Answer: $9\ units$

Step-by-step explanation:

You need to use the following formula for calculate the area of a square:

$A=s^2$

Where "s" is the lenght of any side of the square.

You know that the area of a mural is $81\ units^2$ . Then, you can substitute this area into the formula and solve for "s", in order to find the side lenght of the mural.

Therefore, this is:

$81\ units^2=s^2\\\\s=\sqrt{(81\ units^2)}\\\\s=9\ units$

8 0

3 years ago

HELP ME GRAPH THIS PLEASE IM DUMB I KNOW

cupoosta [38]

Answer:

You should graph the lines (0, 0) to (2, 120), (2, 120) to (2.5, 120), and (2.5, 120) to (3.5, 150).

Step-by-step explanation:

If we see, for the first part, she drive 60 miles an hour and drives for 2 hours. This means that after 2 hours, she has driven 60 * 2 = 120 miles in 2 hours. Then she spends 30 minutes, or half an hour, no moving forward as she changes the tire. Finally, she drives at 30 miles an hour for an hour. This means she has driven 120 + 30 = 150 miles in total after 3 and a half hours.

Our first line goes from (0, 0) to (2, 120), as thats how far we drove in 2 hours. The next line goes from (2, 120) to (2.5, 120), as she was changing a tire and made no progress. Finally, the last line goes from (2.5, 120) to (3.5, 150), as she drives for another hour at 30 miles an hour.

4 0

3 years ago

2+2? please answer i need to graduate from highschool