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xz_007 [3.2K]
3 years ago
11

Use long division to find the quotient and remainder when 2x^3 + 6x^2 - x + 5 divided by 2x^2 - 1.​

Mathematics
2 answers:
andrew11 [14]3 years ago
4 0

Answer:

Qoutient=x+3

Remainder=8

STatiana [176]3 years ago
3 0

Answer:

Quotient ---> x + 3

Reminder ---> 8

Step-by-step explanation:

See the attached image, I have included all the necessary steps!

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This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down
AnnZ [28]

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = \frac{1}{2}× (sum of sides)× height

                             =  \frac{1}{2}× (0.6 + 1.4)× 2

                             =  \frac{1}{2}× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = \frac{1}{100} m = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in \frac{30}{0.4} = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

5 0
3 years ago
PLEASE ANSWERRRR!! (4 x 3) + (4 x 7) = 4 x (? + ?)
Vlada [557]

how is the volume of a solution used in calculating concentration?

3 0
3 years ago
Read 2 more answers
Drag each tile to the correct box. Amanda, Derrick, and Todd attend the same high school. Each student works as the cashier one
wel

Answer:

Amanda > Todd > Derrick

Step-by-step explanation:

Amanda's IQR- 3.5

Derrick's IQR- 2

Todd's IQR- 3

4 0
2 years ago
Molly ordered 12 t-shirts for 14.00 and Teena ordered 23 t-shirts for 14.00 how much did they spend in all? Use the distributive
Cerrena [4.2K]
All together they spent 490

3 0
3 years ago
Simplify 2y-6x+5+4y<br> What is the answer?
Misha Larkins [42]

Answer:

Answer = −6x+6y+5

3 0
2 years ago
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