Help please answer fast!!!

Answer:

s cos^(-1)(-(q^2 s)/2) + sqrt(4 - q^4 s^2)/q^2 + constant

Step-by-step explanation:

Take the integral:

integral cos^(-1)(-(q^2 s)/2) ds

For the integrand cos^(-1)(-(q^2 s)/2), substitute u = -(q^2 s)/2 and du = -q^2/2 ds:

= -2/q^2 integral cos^(-1)(u) du

For the integrand cos^(-1)(u), integrate by parts, integral f dg = f g - integral g df, where  

f = cos^(-1)(u), dg = du, df = -1/sqrt(1 - u^2) du, g = u:

= -(2 u cos^(-1)(u))/q^2 + 2/q^2 integral-u/sqrt(1 - u^2) du

Factor out constants:

= -(2 u cos^(-1)(u))/q^2 - 2/q^2 integral u/sqrt(1 - u^2) du

For the integrand u/sqrt(1 - u^2), substitute p = 1 - u^2 and dp = -2 u du:

= -(2 u cos^(-1)(u))/q^2 + 1/q^2 integral1/sqrt(p) dp

The integral of 1/sqrt(p) is 2 sqrt(p):

= (2 sqrt(p))/q^2 - (2 u cos^(-1)(u))/q^2 + constant

Substitute back for p = 1 - u^2:

= (2 sqrt(1 - u^2))/q^2 - (2 u cos^(-1)(u))/q^2 + constant

Substitute back for u = -(q^2 s)/2:

Answer: = s cos^(-1)(-(q^2 s)/2) + sqrt(4 - q^4 s^2)/q^2 + constant

Answer:

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex

Step-by-step explanation:

Answer:

cube a geometrical shape which is a three-dimensional figure. It has 6 faces, 12 edges and 8 vertices.

Step-by-step explanation:

GLOSSARY

Faces: The flat surfaces which are squre in shape

Edges: Where 2 surfaces meet (i.e, length of cube)

Vertices: Corners

Answer:

5 7/20

Step-by-step explanation:

basically, you are going to want to turn these into improper fractions

7 3/4 = 28/4 + 3/4

        = 31/4  (no further simplification)

2 2/5 = 10/5 + 2/5

         = 12/5

now get common denominator to subtract

31/4 - 12/5

155/20 - 48/20 = 107/20

if you want this back into mixed fraction then convert

107/20 = 5 7/20

Answer: See explanation

Step-by-step explanation:

For us to know the number of strips that Sally can cut from the ribbon, we have to divide 30 feet by 2 2/5 feet. This will be:

= 30 ÷ 2 2/5

= 30 ÷ 12/5

= 30 × 5/12

= 25/2

= 12 1/2 strips

Therefore, the maximum number of strips that Sally can cut is 12 and not 13.

Answer: 36 pt = 21.6171 qt. There are 1.66535 pints in a quart.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2 pints are in 1 quart

Answer:

5.5

Step-by-step explanation:

Answer:

x=5

y=1

Step-by-step explanation:

3*5=15

5*1=5

15+5=20

the answer is the third option

Answer

3

6

18.85

28.27

Step-by-step explanation:

O can help with the rest if needed but the basic equations is

Circumference = 2 times pie times the radius (on this case 3)

Area = pie times radius squared

Answer:

A

Step-by-step explanation:

P=2L+2w

P=61

W=W

Since length is 4cm longer

Therefore length=W+4

General equation=2w+2(w+4)=61

Answer:

Step-by-step explanation:

y = -1 for x = 0 {point(0, -1)} means -1 at the end of formula

If we add 1 to y-coordinate of  every given point we get the squares of x-coordinate:

(1, 0):   1² - 1 = 0

(2, 3):   2² - 1 = 4 - 1 = 3

(3, 8):   3² - 1 = 9 - 1 = 8

(4, 15):   4² - 1 = 16 - 1 = 15

So for any x:

(x, y)   y = x² - 1

Use this to answer

Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run

80 - [50 - {20/2 - (16 - 2/2) ÷ 3}]

80 - [50 - {20/2 - (15) ÷ 3}]

80 - [50 - {10 - 5}]

80 - [50 - {5}]

80 - [45]

35

Answer:35

Step-by-step explanation:

80-[50-(10-5)

80-(50-5)

80-45=35

Answer:

6,560

Step-by-step explanation:

Answer:

6,560

Step-by-step explanation:

We are given the first four terms of the sequence:

2, 6, 18, 54, ...

We need to find another four terms to find the sum.

I don't know how to explain how I got the pattern but you have to multiply by 3:

2 * 3 = 6

6 * 3 = 18

18 * 3 = 54

To find the next term, we will multiply 54 by 3:

54 * 3 = 162

2, 6, 18, 54, 162, ...

We now have 5 terms.

Next, multiply 162 by 3:

162 * 3 = 486

2, 6, 18, 54, 162, 486, ...

We now have 6 terms.

Next, multiply 486 by 3:

486 * 3 = 1458

2, 6, 18, 54, 162, 486, 1458, ...

We now have 7 terms.

Lastly, multiply 1458 by 3:

1458 * 3 = 4374

2, 6, 18, 54, 162, 486, 1458, 4374, ...

We now have the first 8 terms.

Now, we add all these numbers together:

2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 = 6560

The sum of the first eight terms of the geometric sequence is 6,560

Answer:

The area's are the same

Step-by-step explanation:

Both base's areas are 30.

Answer:

11a+12b

Step-by-step explanation:

9a+12b+2a=11a+12b

Answer:

3 Whole pieces

Step-by-step explanation:

A turkey was cut into 10 equal pieces.

For Katie

If Katie ate 2/10 of the turkey

Number of Whole pieces of turkey Katie ate =

2/10 × 10 whole pieces = 2 whole pieces

For Lorenzo

Lorenzo ate 5/10 of the turkey

Number of Whole pieces of turkey Lorenzo ate =

5/10 × 10 whole pieces = 5 whole pieces

how many whole pieces of the turkey are left?

This is calculated as:

10 pieces - (2 piece + 5 pieces)

10 pieces - 7 pieces

= 3 pieces

Therefore, we have 3 whole pieces of turkey left.

Answer:

3 Whole pieces

Step-by-step explanation:

A turkey was cut into 10 equal pieces.

For Katie

If Katie ate 2/10 of the turkey

Number of Whole pieces of turkey Katie ate =

2/10 × 10 whole pieces = 2 whole pieces

For Lorenzo

Lorenzo ate 5/10 of the turkey

Number of Whole pieces of turkey Lorenzo ate =

5/10 × 10 whole pieces = 5 whole pieces

how many whole pieces of the turkey are left?

This is calculated as:

10 pieces - (2 piece + 5 pieces)

10 pieces - 7 pieces

= 3 pieces

Therefore, we have 3 whole pieces of turkey left.

Answer:

2g + 4h = 43

2g + 2h = 30

Step-by-step explanation:

Answer:

pairs of gloves = x

hats = y

2x + 4y = 43

2x + 2y = 30

hats = $6.50

gloves = $8.50

Step-by-step explanation:

use the elimination method to solve this system.

subtract the first equation by the second.

2x + 4y = 43

- 2x + 2y = 30

--------------------

         2y = 13

y = 6.5

plug in the y value to find x

2x + 4 (6.5) = 43

2x + 26 = 43

2x = 17

x = 8.5

Answer:

0.28 easy

Step-by-step explanation:

Answer:

The answer is (3,5)

Step-by-step explanation:

Sana Maka tulong

[tex]a = 640s[/tex]

[tex]a = 640(7.5)[/tex]

[tex]a = 4800 \: [/tex]

She owns 4800 acres.

Answer:

4,800 acres

Step-by-step explanation:

Answer:

its called perimeter when it is near to dot its called cruve

Answer:

2x-y=0

Step-by-step explanation:

Answer:

C)  99 in²

Step-by-step explanation:

you can divide this shape by drawing a horizontal line to create a 4x12" rectangle and a trapezoid with a height of (10-4) in and bases of 12 and 5"

area of rectangle:  12 x 4 = 48

area of trapezoid:  1/2(6)(12+5) = 3(17) = 51

total area = 48 + 51

total area = 99 in²

Answer:

C. 99

Step-by-step explanation:

First, we can split it into two rectangles and a right triangle: (see the image below)

The first rectangle has sides of 5, 10, 5, and 10.

The second has sides of 4, 7, 4, and 7.

The third has sides of 7, 6, and √85.

The first rectangle:

Because opposite sides are congruent in a rectangle, we know that the side across of the measure of 5 is also 5. The side across from 10 is also 10.

The second rectangle:

From the side with a measure of 4, draw a line across to meet the side of the first rectangle.

Because opposite sides are congruent, we know the other side is 4.

Because the whole entire bottom is 12, and the bottom of the first rectangle is 5, the side of the second rectangle must be 7.

This makes the other sides also 7.

The right triangle:

Because the lines are all perpendicular (indicated by right angle symbol), this is a right triangle.

We know that one of the sides is 7 (because of opposite sides being congruent in a rectangle). The whole side is the side of the first rectangle, so it's 10. That means that the other side of the right triangle is 6.

With the Pythagorean Theorem, we can find that the hypotenuse is √85.

Area of First Rectangle: A = l h

                                        A = (5) (10)

                                        A = 50

Area of Second Rectangle: A = l h

                                              A = (4) (7)

                                              A = 28

Area of Right Triangle: A = (1/2) (b) (h)

                                      A = (1/2) (7) (6)

                                      A = 21

21 + 28 + 50 = Area

Area = 99