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Fed [463]
3 years ago
8

Simplify the expression 4x+2-1/2x

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
6 0

answer 41x

Step-by-step

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The equation of a circle centered at the origin is x^2+y^2=16. what is the radius of the circle?
vekshin1

Answer:

The center is (0,0) and the radius is 4

Step-by-step explanation:

x^2+y^2=16.

The equation of a circle can be written in the form

(x-h)^2+(y-k)^2=r^2  where ( h,k) is the center and r is the radius

(x-0)^2+(y-0)^2=4^2

The center is (0,0) and the radius is 4

4 0
3 years ago
Points J, K and L are distinct points, and JK = KL. Which of these statements must be true?
Hoochie [10]
* J,K,&L are coplanar

* K is the midpoint of JL

* J,K,&L are collinear

* Jk=KL
4 0
3 years ago
2 Construct a rational function that will help solve the problem. Then, use a calculator to answer the question.
vaieri [72.5K]

Answer:

<u><em>Dimension of box:-</em></u>

Side of square base = 10 in

Height of box = 5 in

Minimum Surface area, S = 300 in²

Step-by-step explanation:

An open box with a square base is to have a volume of 500 cubic inches.

Let side of the base be x and height of the box is y

Volume of box = area of base × height

                 500=x^2y

Therefore, y=\dfrac{500}{x^2}

It is open box. The surface area of box, S .

S=x^2+4xy

Put  y=\dfrac{500}{x^2}

S(x)=x^2+\dfrac{2000}{x}

This would be rational function of surface area.

For maximum/minimum to differentiate S(x)

S'(x)=2x-\dfrac{2000}{x^2}

For critical point, S'(x)=0

2x-\dfrac{2000}{x^2}=0

x^3=1000

x=10

Put x = 10 into y=\dfrac{500}{x^2}

y = 5

Double derivative of S(x)

S''(x)=2+\dfrac{4000}{x^3} at x = 10

S''(10) > 0

Therefore, Surface is minimum at x = 10 inches

Minimum Surface area, S = 300 in²

7 0
3 years ago
Harry has a part-time job as a babysitter. The table below shows the amount of money Harry earned for different numbers of hours
Dimas [21]

Answer:

Part A- The 1st box is 96 and the second box is 10.

PartB-

Part C-

Step-by-step explanation:

<h2><u><em>Part A:</em></u></h2>

5x12=60

6x12=72

8x12=96

10x12=120

So the 1st box is 96 and the second box is 10.

<h2><u><em>Part B:</em></u></h2>

5     $50

6     $60

8     $80

I know this because Harry receives $10 per hour so you have to multiply the number of hours by $10.

<h2><em><u>Part C:</u></em></h2>

If Harry babysits for 5 hours, he would receive $60 but if he does yard work for 5 hours, he would receive $50. Harry would receive $10 more by babysitting than by doing yard work.

Hoped this helped.

4 0
3 years ago
Find the product 2.25x0.04=?
Debora [2.8K]
The product to 2.25 x 0.04 is 0.09

3 0
4 years ago
Read 2 more answers
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