The volume of a cone with a radius of 6 and height of 15

How do i turn standard form into slope intercept?

Jlenok [28]

Write it in y= mx+b form. Subtract 5x from both sides to get 4y = -5x + 100. Divide by 4 so the answer would be y= -5/4x + 25.

8 0

2 years ago

Steven wants to increase the number of books he reads per year. He currently reads 2 books a year. He wants to triple the number

Sladkaya [172]

Answer:

$B=2\times 3^n$

Step-by-step explanation:

<u>Exponential Growing </u>

Steven currently reads 2 books a year. He wants to triple the number of books read per year. The first year he should read

$2*3 = 6\ books$

By the second year, he should read

$2*3^2 = 18\ books$

By the third year, he should read

$2*3^3 = 54\ books$

We can clearly see there is a geometric progression of the number of books he should read for the year n. The general formula is, being B the number of books read at the year n

$\boxed{B=2\times 3^n}$

8 0

2 years ago

So far this year, the average monthly revenue at Lexington Times is 50,711. That is 5% less than the monthly average was last ye

SOVA2 [1]

53,380 was the average last year .

<u>Step-by-step explanation:</u>

Here we have , So far this year, the average monthly revenue at Lexington Times is 50,711. That is 5% less than the monthly average was last year. We need to find that What was the average last year . Let's find out:

Let the monthly average was last year be x , According to question the average monthly revenue at Lexington Times is 50,711 but , That is 5% less than the monthly average was last year . Following equation for above scenario is :

⇒ $x-\frac{5(x)}{100}=50711$

⇒ $\frac{100x-5x}{100}=50711$

⇒ $\frac{95x}{100}=50711$

⇒ $\frac{95x(100)}{100(95)}=\frac{50711(100)}{95}$

⇒ $x=\frac{50711(100)}{95}$

⇒ $x=53380$

Therefore , 53,380 was the average last year .

7 0

3 years ago

What is the first step in proving that the sum of the measures of triangle XYZ is 180 degrees?

mylen [45]

In geometry, the definition of a triangle is a two-dimensional closed figure with three sides. Aside from this, it is proven that the sum of the angles of a triangle is 180°. This is a triangle's innate property. Therefore, any closed shape with three sides is a triangle and it follows that the sum of the three angles is equal to 180°.

It is logical therefore, that the first step in proving this is by using the definition of a triangle.

6 0

2 years ago

The width of a rectangle is increasing at a rate of 2 cm/sec, while the length increases at 3 cm/sec. At what rate is the area i

lorasvet [3.4K]

Answer:

The area of the rectangle is increasing at a rate of $22\ cm^2/s$ .