Let R(x)=3x3+2x2+x and S(x)=4x2+1. Find R(x)−S(x).

Answer:

4 th option

Step-by-step explanation:

Using synthetic division to find the quotient

- 2  |  1    - 4    + 5    - 2

         ↓   - 2     + 12   - 34

      ------------------------------

        1    - 6     + 17      - 36 ← remainder

The quotient is x² - 6x + 17

Then

[tex]\frac{x^3-4x^2+5x-2}{x+2}[/tex] = x² - 6x + 17 - [tex]\frac{36}{x+2}[/tex]

Answer:

The ratio is 5:3 because there are 5apples and 3 pears

Answer:

steak, chicken, and hamburger are meats. 3 meats.

The French fries and mashed potatoes are potatoes. 2 Potatoes.

And Green beans and peas are green vegetables. 2 Vegetables.

I think we just do 3 x 2 x 2 = 12 Meals.

hope that helps bby<3

If we solve for Y then answer is..

Y=b-4

If we solve for B then answer is..

b=Y+4

Answer:

mean will be find in that method

hence, correct option is B

Answer:

One kids ticket is $4.80 and one adult ticket is $9.60

Step-by-step explanation:

Create a system of equations where k is the cost of a kids ticket and a is the cost of an adult ticket:

6k + 2a = 48

k = 1/2a

Solve by substitution by substituting the second equation into the first one:

6k + 2a = 48

6(1/2a) + 2a = 48

Simplify and solve for a:

3a + 2a = 48

5a = 48

a = 9.6

Find the cost of a kids ticket by dividing this by 2, since they are on sale for half the price of adult tickets.

9.6/2

= 4.8

One kids ticket is $4.80 and one adult ticket is $9.60

Answer:

Step-by-step explanation:

The word "opposite" is indicated by the - sign out front. Mathematically, we multiply a -1 into the parenthesis which, not coincidentally, changes the signs of everything inside the parenthesis, making them "opposite". The opposite of this polynomial is

- a - b - c

Answer:

25 x 0.84 ^ h = X

After 4 hours there will be 12.45 milligrams of the medicine, and after 8 hours there will be 6.20 milligrams of it.

Step-by-step explanation:

Given that a particular medicine decays at a rate of 16% every 4 hours, if a person takes a 25 mg dose, to write a function that represents the amount of medicine after h hours, and determine how much is left after 4 hours and 8 hours, the following calculations must be performed:

100 - 16 = 84

25 x 0.84 ^ h = X

25 x 0.84 ^ 4 = X

25 x 0.4978 = X

12.45 = X

25 x 0.84 ^ 8 = X

25 x 0.2478 = X

6.20 = X

Therefore, after 4 hours there will be 12.45 milligrams of the medicine, and after 8 hours there will be 6.20 milligrams of it.

Answer:

After the third bounce the ball reaches a height of less than 50cm.

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is always the same, and it's called common ratio. The nth term of a geometric sequence is given by:

[tex]A_n = A_0(r)^{n}[/tex]

In which [tex]A_0[/tex] is the first term and r is the common ratio.

A ball is dropped from a height of 5m.

This means that [tex]A_0 = 5[/tex]

After each bounce it rises to 35% of its previous height.

This means that [tex]r = 0.35[/tex]

Thus

[tex]A_n = A_0(r)^{n}[/tex]

[tex]A_n = 5(0.35)^{n}[/tex]

After how many bounces does the ball reach a Height of less than 50cm?

50cm = 0.5m. This is n for which [tex]A_n = 0.5[/tex]. Thus

[tex]A_n = 5(0.35)^{n}[/tex]

[tex]0.5 = 5(0.35)^{n}[/tex]

[tex](0.35)^n = \frac{0.5}{5}[/tex]

[tex](0.35)^n = 0.1[/tex]

[tex]\log{(0.35)^n} = \log{0.1}[/tex]

[tex]n\log{0.35} = \log{0.1}[/tex]

[tex]n = \frac{\log{0.1}}{\log{0.35}}[/tex]

[tex]n = 2.19[/tex]

Rounding up:

After the third bounce the ball reaches a height of less than 50cm.

Answer:

x = 4

Step-by-step explanation:

2/3x + 1/6 = 4/3x

Easiest way to solve is by multiplying the entire equation by 6x.

6x (2/3x + 1/6 = 4/3x)

4 + x = 8

subtract 4 rom both sides

x=4

Answer:

The current population of Madagascar is 28,354,778 as of Thursday, June 10, 2021, based on Worldometer elaboration of the latest United Nations data.

Madagascar 2020 population is estimated at 27,691,018 people at mid year according to UN data.

Madagascar population is equivalent to 0.36% of the total world population.

Madagascar ranks number 51 in the list of countries (and dependencies) by population.

The population density in Madagascar is 48 per Km2 (123 people per mi2).

The total land area is 581,795 Km2 (224,632 sq. miles)

38.5 % of the population is urban (10,670,252 people in 2020)

The median age in Madagascar is 19.6 years.

Step-by-step explanation: i dont know man

Answer:

0.1007

Step-by-step explanation:

Given :

Average gain, μ = 0.8

Standard deviation, σ = 0.7

Number of companies, n = 20

Obtaining the standardized value ;

Zscore = (x - mean) / (σ/√n)

Zscore = (1 - 0.8) / (0.7/√20)

Zscore = (0.2 / 0.1565247)

Z = 1.27775

Using the Z probability calculator :

P(Z > 1.27775) = 0.10067

P(Z > 1.27775) = 0.1007 ( Z probability calculator)

Answer:

7y - 4x

Step-by-step explanation:

Given

- 3(2x - y) + 2y + 2(x + y) ← distribute parenthesis

= - 6x + 3y + 2y + 2x + 2y ← collect like terms

= 7y - 4x

Multiply the starting height (60) by the height of each bounce (3/4) raised to the number of bounces (x)

H = (60)(3/4)^x

The answer to the given expression is:

H = 60(3/4)^x

A number is raised by another number which is called the power/exponent which implies that the number is multiplied by itself for that many number of times.

After every release, it bounces 3/4th of the previously released height.

After 1st bounce H = 60(3/4)

After 2nd bounce, it will be 3/4th of the previous H,

∴ H = 60(3/4)(3/4) = 60(3/4)^2

Similarly, after the 3rd bounce, it will be 3/4th of the previous H,

∴ H = 60(3/4)^2 * (3/4) = 60(3/4)^3

So it goes on like this. After x bounces,

H = 60(3/4)^x

Learn more about the Exponents at

https://brainly.com/question/11464095

#SPJ2

Answer:

Angle 1 - 148

Angle 2 - 32

Angle 3 - 73

Angle 4 - 148

Angle 5 - 105

Step-by-step explanation:

Angle 1 forms a line with angle 32 and equals 180, therefore Angel 1 = 180 - 32 = 148

Angle 2 has the same value as the opposing angle, 32

Angle 3 combined with 32 and 75 equals 180, therefore

Angle 3 = 180 - 32 - 75

Angle 3 = 73

Angle 4 is equal to angle 1

Angle 5 combined with 43 and Angle 2 (32) equals 180

Angle 5 = 180 - 43 - 32

Angle 5 = 105

Answer:

its c

Step-by-step explanation:

Answer:345678098321

Step-by-step explanation: I think so lol

Answer:

x+5x=180( adj.suppl.ls)

6x=180

6x÷6=180÷6

x=30

Answer:

c)

Step-by-step explanation:

please don't trust ;-;

Answer:

I think finite

Step-by-step explanation:

Answer: 27.532

Step-by-step explanation:

0.53>0.52

Answer:

27.532

27.532 is greater because .532 is greater than 523

x = 3

y = 8

(3, 8)

Hope this helps! :)

Answer:

A/C

Step-by-step explanation:

Since the sum of the angles in a triangle equals 180°, and angle C is 90°.

That means angles A and B add up to 90°, that is, they are complementary angles. Therefore the cosine of B equals the sine of A.

We saw on the last page that sin A was the opposite side over the hypotenuse, that is, a/c. Hence, cos B equals a/c.

Your welcome! :)

Answer:

A=2πrh+2πr2

Step-by-step explanation:youre welcome

Step-by-step explanation:

πr^2+2πrh

(r= radius, h= height)

Answer:

B. 3 x 3 x 3 x 3 = 81

Step-by-step explanation:

exponential expression 3⁴

This means multiplying 3 four times

= 3 × 3 × 3 × 3

= 81

B. 3 x 3 x 3 x 3 = 81 is the answer

Similarly, if you have 5³

This means you'll multiply 5 three times

5³ = 5 × 5 × 5

= 125

And

3¹ =

3 one time

3¹ = 3

Let us first find the hieght of the triangle:

= 16² = p² + 8²

= 256 = p² + 64

= 256 - 64 = p²

= √192 = p

= 13.85 = p

Area of equilateral trianglular prism:

= ⅓× l² × h

= ⅓ × 16² × 13.85

= 256 × 13.85 × ⅓

= 1181.86 cm³

= 1182 cm³ (approx)

Answer:

128 sq units :)

Step-by-step explanation:

hope this helps! have a great day :)

21.7²=17²+13.5²

21.7²=289+182.25

21.7²=471.25

21.7=√471.25

21.7=21.7

22(to the nearest whole number)

Answer:  Yes, it is a right triangle

But only if you rounded everything to the nearest whole number.

Otherwise, it's a bit off (but fairly close).

==========================================================

Explanation:

If that was a right triangle, then a^2+b^2 = c^2 would be the case (pythagorean theorem). The a,b,c refers to the sides of the triangle. The 'c' is always the longest side, where 'a' and 'b' can be in any order you want.

We have

Which leads to

a^2+b^2 = c^2

(13.5)^2+(17)^2 = (21.7)^2

182.25 + 289 = 470.89

471.25 = 470.89

We don't get the same thing on both sides, so we don't have a right triangle.

However, your teacher mentions to round the results to the nearest whole number. The 471.25 on the left side becomes 471, while the 470.89 becomes 471.

So while the equation 471.25 = 470.89 is definitely false, both sides are close enough that they round to 471 = 471 which is true.

In other words, this isn't a right triangle but it's close enough to one. Based on this rounding criteria, Brian is correct.

Answer:

[tex]y = 2.5x + 75[/tex]

Step-by-step explanation:

Answer:

[tex]x = \frac{57}{29} \ , \ y = \frac{12}{29}[/tex]

Step-by-step explanation:

                            2x + 5y = 6     --------( 1 )

                            5x - 2y = 9     --------( 2 )

                        _____________

     ( 1 ) x 5 =>     10x + 25y = 30   -----------( 3 )

     ( 2 ) x 2 =>    10x - 4y = 18       ----------- ( 4 )

                       ______________

    ( 3 ) - ( 4 ) =>    0 +  29y = 12

                                   [tex]y = \frac{12}{29}[/tex]

Substitute y in ( 1 ) =>

                            [tex]2x + (5 \times \frac{12}{29}) = 6\\\\2x + \frac{60}{29} = 6\\\\2x = 6 - \frac{60}{29}\\\\2x = \frac{174 - 60}{29}\\\\x = \frac{114}{29 \times 2}\\\\x = \frac{57}{29}[/tex]