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2 years ago

9

What are the factors for the expression 6x^2+x-12?

1 answer:

Svetllana [295]2 years ago

7 0

Answer:

(3x−4)(2x+3)

Step-by-step explanation:

6x²+x-12=

(3x-4)(2x+3)

We get this because (3x-4)(2x+3) equals out to 6x²+x-12. If you need more explanation, reply to this answer.

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What is the ratio of salty snacks to sweet snacks in the vending machine

guajiro [1.7K]

2859:682 is the ratio

6 0

3 years ago

A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of t

Vlad1618 [11]

Answer:

$185553.7\text{ feet}^3$

Step-by-step explanation:

GIVEN: A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of the dome is $84\text{ feet}$ , and the total height of the building up to the top of the dome is $91\text{ feet}$ .

TO FIND: what is the approximate total volume of the building.

SOLUTION:

let the height of the mountaintop be $h\text{ feet}$

As the dome hemispherical.

circumference of a hemisphere $=\frac{1}{2}\times2\pi\times radius$

$=\pi\times radius$

$\frac{22}{7}\times radius=84$

$radius=26.75\text{ feet}$

total height of the building up to the top of the dome $=\text{radius of hemisphere}+\text{height of mountaintop}$

$=26.75+h=91$

$h=64.25\text{ feet}$

Volume of building $=\text{volume of cylindrical mountaintop}+\text{volume of dome}$

$=\pi(radius)^2h+\frac{2}{3}\pi(radius)^3$

as radius of mountain top is same as dome

putting values

$=3.14(26.75)^264.75+\frac{2}{3}3.14(26.75)^3$

$=145484.6+40069.1$

$185553.7\text{ feet}^3$

Hence the total volume of the building is $185553.7\text{ feet}^3$

5 0

3 years ago

A garden is 30 feet long. a row of beans is planted every 15 inches. how many rows of beans are in the garden? a. 20 rows b. 24

Anettt [7]

Answer:

b) 24 rows

Step-by-step explanation:

12 inches = 1 foot

Since we are doing 30 feet, multiply 12 by 30

12 · 30 = 360 inches

Then, divide the total length (360 inches) by the spacing size (15 inches)

360 ÷ 15 = 24 rows total

8 0

1 year ago

PLEASE HELP!!! ITS URGENT AND ILL NEED IT SOON, THANK YOU FOR ANY HELP GIVEN IN ADVANCED COMES WITH DIAGRAM

andrew11 [14]

Answer:

Try 458.96 (round if needed)

Step-by-step explanation:

First you find the volume of the cone. (pi*radius^2*h/3)

Then you find the volume of a cylinder. (pi*radius^2*h) add these two up.

You would have to subtract 12.5 and 8.5 to get the height of the cone.

Also you would have to subtract 6 inches off of your total.

(Sorry If this explanation sucked.)

6 0

2 years ago

The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached, the

Rom4ik [11]

M/s=30/9 =10/3

so, 3m=10s

8 0

3 years ago

Read 2 more answers