Graph How to put -31/2 , 21/2 on a graph

There are five identical blue books, two identical green books, and three identical black books. How many different patterns can

dsp73

Answer:

2520 patterns

Step-by-step explanation:

In 'n' 10! ways, books can be arranged. But, there are also 5! permutation of blue books 'n1', 2! permutation of identical green books 'n2', and 3! permutation identical black books 'n3'.

Therefore, for non identical arrangements:

$\frac{n!}{n1!n2!n3!}$

$\frac{10!}{5!2!3!}$ = 2520

Therefore, the books can be arranged on a shelf in 2520 patterns

8 0

2 years ago

Find the area of the shaded sector of the circle. Leave in terms of pi.

qaws [65]

Answer:

$a=10.88\pi$

Step-by-step explanation:

using the formula below, the central angle is 20° (bc 360-180-160=20)

radius is 14 (28/2=14)

$\frac{20}{360} =\frac{a}{\pi r^2} \\ \frac{1}{18} =\frac{a}{\pi 14^2}$

$\frac{1}{18} =\frac{a}{196\pi}$

$a=\frac{1*196\pi}{18} \\a=1*10.88\pi\\a=10.88\pi$

3 0

2 years ago

Rewrite the equation by completing the square. 4 x^2 +20 x +25 = 0

Sav [38]

Answer:

x=-5/2

Step-by-step explanation:

4 x^2 +20 x +25 = 0

x^2+5x=-25/4

(b/2)^2=(5/2)^2

x^2+5x+25/4=0

(x+5/2)^2=0

x=-5/2

(Hope this helps)

6 0

3 years ago

Find the following using a calculator. Round to four decimal places. (2 points)

EleoNora [17]

The value of log(0.47) after rounding to 4 decimal place is -0.3279

Option D

Given :

Find the value of log(0.47) using calculator

To find the log value we use the calculator

here we are asked to find out log (0.47) that is the log (decimal)

we cannot find the log value without calculator because we have decimal argument inside log.

Use scientific calculator

Press log first then enter the number 0.47 inside a parenthesis

Press enter , it will show you the log(0.47)

log(0.47) =-0.327902142

Now round the answer to 4 decimal places

We have 0 in the 5th decimal place . so we keep 9 as it is

log(0.47) =-0.3279

Learn more : brainly.com/question/10101390

7 0

2 years ago

How do you find the slope (m) and the y-intercept for (0,-4), (5,-4)?

navik [9.2K]

Answer:

In order to find the slope (m), and the y-intercept of this coordinate pair, you must complete rise over run.

This is represented by y2-y1, x2-x1. This can be represented like so:

-4-0 = -4

5--4 = 9

Here, we have concluded that our slope is -4/9.

Now, we must convert this into point slope form. Point slope form is y-y1=m(x-x1). This will look like this in our situation:

y+4=-4/9(x-0)

To solve, distribute the -4/9 first, which will leave you with:

y+4=-4/9x+0

Now, subract the 4 to both sides of the equation.

Our final answer looks like: y=-4/9-4.

-

SLOPE: -4/9

Y INTERCEPT: -4

3 0

2 years ago