All categories

2 years ago

Simplify the polynomial. 3y3 − y2 + 2y4 + 2y3

Mathematics

1 answer:

maria [59]2 years ago

4 0

Answer:

2y^4 + 5y^3 - y^2

Step-by-step explanation:

3y^3 - y^2 + 2y^4 + 2y^3

2y^4 + 3y^3 +2y^3 - y^2 combine like terms

2y^4 + 5y^3 - y^2 <---- answer

Hope this helps!

You might be interested in

If you get how to do this could you please help me on this question?

anzhelika [568]

Fan is at 75 degree angle

7 0

2 years ago

Read 2 more answers

Question 15 (5 points)<br> Find the angle between u = <7, -2> and v= (-1,2>.

Tema [17]

Answer:

Approximately $2.3127$ radians, which is approximately $132.51^{\circ}$ .

Step-by-step explanation:

Dot product between the two vectors:

$\begin{aligned}& u\cdot v \\ =\; & 7 \times (-1) + (-2) \times 2 \\ =\; & (-11) \end{aligned}$ .

Magnitude of the two vectors:

$\begin{aligned} \| u \| &= \sqrt{{7}^{2} + {(-2)}^{2}} \\ &= \sqrt{53} \end{aligned}$ .

$\begin{aligned} \| v \| &= \sqrt{{(-1)}^{2} + {2}^{2}} \\ &= \sqrt{5} \end{aligned}$ .

Let $\theta$ denote the angle between these two vectors. By the property of dot products:

$\begin{aligned} \cos(\theta) &= \frac{u \cdot v}{\|u\| \, \| v \|} \\ &= \frac{(-11)}{(\sqrt{53})\, (\sqrt{5})} \\ &= \frac{(-11)}{\sqrt{265}}\end{aligned}$ .

Apply the inverse cosine function ${\rm arccos}$ to find the value of this angle:

$\begin{aligned} \theta &= \arccos\left(\frac{u \cdot v}{\| u \| \, \| v \|}\right) \\ &= \arccos\left(\frac{(-11)}{\sqrt{265}}\right) \\ & \approx \text{$2.3127$ radians} \\ &= 2.3127 \times \frac{180^{\circ}}{\pi} \\ &\approx 132.51^{\circ}\end{aligned}$ .

8 0

2 years ago

Drag the tiles to the correct boxes to complete the pairs.

sergeinik [125]

Answer:

A. 6.32455 inch

B. 71.565°

C. 36.87°

Step-by-step explanation:

A. to find slant height we shall use Pythagoras theorem:

AC^2 = AB^2 + BC^2

AC^2 = 2^2 + 6^2

AC = 6.32455 inch ......... that's the slant height of the cone

B. here we have to find angle A, its where the line segment lies on the base

we use sin cos tan formula

opposite/ adjacent = tan (A)

A = tan^-1(6/2)

=71.565°

C. we have to find the angle where opposite both slant height meets, that's angle C.

as its a right angle triangle we can find half of C° = ( 180° - 90° - 71.565° ) =18.43494882°

So C angle shall be = 18.43494882° * 2

=36.87°

5 0

2 years ago

Suppose your friend's parents invest $ 20000 in an account paying 7 % compounded annually. What will the balance be after 8 yea

melamori03 [73]

Each year, the current balance is multiplied by 1.07.

After 8 years, we'll have multiplied it by 1.07 eight times.

This can be written as

$20000\times1.07^8$ , which has a value of $34363.72, to the nearest cent.

5 0

2 years ago

yo if i can get some help that be good IF giant IF your right yu just may get BRAINLIEST but for your help you get 5 STARS and 6

kenny6666 [7]

Answer:

but i think Part A had the bigger percentage change

Step-by-step explanation:

Maggie is studying the change in the amount of money in two accounts, A and B, over time

8 0

3 years ago