please help!! 14 points!!!

Step-by-step explanation:

1/(1 - p + p²) - 1/(1 + p + p²) - 2p/(1 - p² + p⁴) =

[ (1 + p + p²)-(1 - p + p²)/(1 - p + p²)(1 + p + p²) ] - 2p/(1 - p² + p⁴) =

2p/(1 + p + p² - p - p² - p³ + p² + p³ + p⁴) - 2p/(1 - p² + p⁴) =

2p/(1 + p² + p⁴) - 2p/(1 - p² + p⁴) =

[ 2p(1 - p² + p⁴) - 2p( 1 + p² + p⁴) ]/(1 + p² + p⁴)(1 - p² + p⁴) =

(2p - 2p³ + 2p⁵ - 2p - 2p³- 2p⁵) / (1 - p² + p⁴ + p² - p⁴ + p⁶ + p⁴ - p⁶ + p⁸) =

-4p³ / (1 + p⁴ + p⁸)

Answer:

The four most common are probably line graphs, bar graphs and histograms, pie charts, and Cartesian graphs.

Answer:

Not sure but I think the answer is 129

Step-by-step explanation:

first, substitute the value of x in the expression like this

18(3*2+1)+3

after substituting, our work has made easier

18(6+1)+3

18(7)+3 or simply 18*7+3

126+3

129

Answer:

1.  14:9

2. 14 to 9

3. 14/9

Step-by-step explanation:

1/3

...............

.

...........

Answer:

1/3

Step-by-step explanation:

Answer:

y's go

13, 6, 5, 4, -3

Step-by-step explanation:

well so you have the equation y = 5 - x^3

you are given the x for all of them

y = 5 - (-2)^3

5 - (-8) = 13

y = 5 - 0^3

5 - 0 = 5

y = 5 - 1^3

5 - 1 = 4

y = 5 - 2^3

5 - 8 = -3

Answer:

[tex]\Huge\boxed{\frac{3}{5}}[/tex]

Step-by-step explanation:

The trigonometric ratio for sine is

sin = opposite over hypotenuse

the opposite side length of L is 6 and the hypotenuse is 10

so sin L = 6 over 10

then we simplify

6/2 = 3

10/2=5

the answer would be 3/5

Answer:

D

Step-by-step explanation:

The article "an" can only be used with the word "event" so that automatically takes the choices b and c out of the way. An event is something that happens and causes the outcome, it is not the outcome, so it is not A. Thus, the answer is D

Answer:

6

Step-by-step explanation:

Answer:

81 min I think

Step-by-step explanation:

Answer:

5 more people studied more in 0-30 minutes than people who studied 121-120 minutes.

Step-by-step explanation:

Answer:

I think it’s 18

Answer:

18

Step-by-step explanation:

the larger triangle is just a bigger version of the smaller one, and the equal sides show us that it is scaled up to be doubled in size, therefore 9x2=18

Answer:

QRST becomes Q prime, R prime, S prime, T prime.

Step-by-step explanation:

Any figure that is rotated, translated or reflected on the corrdinate plane is considered a prime (as long as it is congruent (the same as, or equal to) with the original). The apostrophe stands for prime.

Ex. If you reflect triangle ABC across one of the axes, the original triangle will continue being ABC, while the reflection would be A' B' C' (or A prime, B prime, C prime). I hope this helps :)

Answer:

Step-by-step explanation:

1kg = 1000g

3000g [divide by 1000 to get answer in kg]

3kg = D

A rectangle has two pairs of opposite sides that are equal in length and four right angles.

To determine the number of diagonals a rectangle has, we need to consider that a diagonal connects any two non-adjacent vertices of a shape.

In a rectangle, there are four vertices. For each vertex, we can draw a diagonal to any of the other three vertices that are not adjacent. Since there are four vertices in total, we can draw a diagonal from each of the four vertices to three other vertices, resulting in a total of 4 * 3 = 12 diagonals.

However, we must keep in mind that each diagonal is counted twice since it connects two different vertices. Therefore, we need to divide the total count of diagonals by 2, giving us the final answer.

Hence, a rectangle has 12/2 = 6 diagonals.

To know more about rectangle:

https://brainly.com/question/15019502

#SPJ6

Answer:

y=3x/2-3

Step-by-step explanation:

y=mx+c

9=m(8)-3

9+3=8m

12=8m

m=12/8

m=3/2

The equation of the line is y=3x/2-3

Answer:

[tex]-3x^{2}[/tex] -5x +2

Step-by-step explanation:

Just combine like terms and solve.

-2x^2+-6x - (x+1)(x-2)

Use foil on the second part

-2x^2-6x - x^2-x-2

Now combine like terms and you’d get your final answer

Answer:

Step-by-step explanation:

g(x) = √(32x) = √(2⁵x) = 4√(2x)

(f∘g)(x) = f(g(x))

= f(4√(2x))

= √(2 ⋅ 4√(2x))

= √(8√(2x))

= √8∜2∜x

= ∜(2⁷x)

= ∜(128x)

which doesn’t match any of the choices. There’s an error in the question.

I believe that the functions were written incorrectly and the x should not be part of the radicands (see attachment). That makes the answer A.

Answer:

2.4 hours.

Step-by-step explanation:

Remark

The supervisor is not quite correct. The correct answer must be lower than the lowest number, otherwise you are taking out what the person with the narrower hose must be taking out what the other person is putting in.

Equation

Let x = the amount of time needed for him to fill the pool

Let y = the amount of time needed for the second person to fill the pool

Let z = the amount of time needed for both to fill the pool.

1/x + 1/ y = 1/z

1/4 + 1/6 = 1/z         The common denominator is 12

3/12 + 2/12 = 1/z

5/12 = 1/z                Cross multiply

5z = 12 * 1               Divide by 5

z = 12/5

z = 2 2/5

z = 2.4 hours

Answer:

No, Lin assumption is wrong

Step-by-step explanation:

Given

Population of panama = 4 x 10^6

population of thailand = 7 x 10^7.

Taking their ratios

thailand/panama = 7x 10^7/4 x 10^6

thailand/panama  = 7/4 * 10^7-6}

thailand/panama = 1.75 * 10^1

thailand/panama  = 17.5

thailand = 17.5 * panama

Hence the amount of people in thailand is not up to 20times those in panama. Hence Lin assumption is wrong

Using proportions, it is found that the ratio is of 17.5, hence Lin is not correct.

A proportion is a fraction of a total amount.

In this problem:

The ratio between the populations is given by:

r = 7 x 10^7/(4 x 10^6) = 1.75 x 10^1 = 17.5.

The ratio is of 17.5, hence Lin is not correct.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

5 feet

Step-by-step explanation:

Divide the area by the base to get 5 feet tall

Answer:

From what I remember A is the answer but im  not sure.

Answer:b

Step-by-step explanation:t

Answer:

Step-by-step explanation:

The volume of the pyramid with height of 6:

The volume of the smaller pyramid is:

We know:

The base sides have same ratio as similar triangles.

The volume of smaller pyramid:

The difference of the volumes is the volume of the frustum:

The ratio of V₂ to V is:

Answer:

A write all the numbers and then plus(+) them and get the answer but plus the separate

The distance from Greg's house to Melissa's is 8 mi.

Step-by-step explanation:

Multiply 4 by 2.