1. Write a formula to represent the
nth term of the sequence: arithmetic
6, 11, 16, 21...
Find the 21st term of the sequence:

Answer:

1.) 20 square inches

2.) 4.16

3.) (-1, -5) (2, -5)

Step-by-step explanation:

Answer:

(in degrees)

x = 15.09478709

Step-by-step explanation:

sin(x) = 25/96

Using the disk method, the volume would be

[tex]\displaystyle \pi \int_0^3 (\sqrt x)^2 \,\mathrm dx=\pi \int_0^3 x\,\mathrm dx=\frac\pi2 x^2\bigg|_0^3=\boxed{\frac{9\pi}2}[/tex]

That is, you split up the solid into disks of some small height ∆x, and each disk has radius at point x equal to the distance (√(x)) from the axis of revolution (the x-axis, y = 0) to the curve y = √(x). The volume of such a disk is then π (√(x))² ∆x. Take the sum of these volumes to get the total volume, then as the heights get smaller and smaller, replace ∆x with dx and the sum with the integral.

In this exercise we have to use the knowledge of the integral to calculate the volume of the disk that will correspond to:

[tex]V= \frac{9\pi }{2}[/tex]

That is, you split up the solid into disks of some small height ∆x, and each disk has radius at point x equal to the distance (√(x)) from the axis of revolution (the x-axis, y = 0) to the curve y = √(x). The volume of such a disk is then π (√(x))² ∆x. Take the sum of these volumes to get the total volume, then as the heights get smaller and smaller, replace ∆x with dx and the sum with the integral. Using the disk method, the volume would be:

[tex]\pi \int\limits^3_0 {(\sqrt{x})^2} \, dx = \pi \int\limits^3_0 {x} \, dx = \frac{\pi x^2}{2} = \frac{9 \pi }{2}[/tex]

See more about volume at brainly.com/question/1578538

Answer:

Sargento cheese slices are the better deal

Sargento cheese slices $2.48 for 10 slices = 0.248 per slice

Velveeta cheese slices $3.18 for 12 slices = 0.265 per slice

Step-by-step explanation:

The unit rate for each cheese slice is $0.24 per piece for Sargento cheese slices and for Velveeta cheese slices is $0.26, and Sargento cheese slices is the better deal.

Given that,
Sargento cheese slices $2.48 for 10 slices or Velveeta cheese slices $3.18 for 12 slices.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
According to the question,
Sargento cheese slices, unit rate = 2.48/10 = $0.24
Velveeta cheese slices , unit rate = 3.18/12 = $0.26
From above Sargento cheese slices, is cheaper than  Velveeta cheese slices.

Thus, the unit rate for each cheese slice is $0.24 per piece for Sargento cheese slices and for Velveeta cheese slices is $0.26, and Sargento cheese slices is the better deal.

Learn more about simplification here:

https://brainly.com/question/12501526

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Answer:

-27

Step-by-step explanation:

Draw a big X over the equal sign, then cross multiply the terms to get:

6(p) = 9(p+9)

Then you want to get p by itself.

Step-by-step explanation:

[tex] \frac{67}{100} \times x = 119.2 \\ x = \frac{11920}{67} = 117.9 = 178[/tex]

Answer:

I think the answer is B. I hoped I helped a little

Answer:

Pos sabe aaaaaaaaaaaaaaaaaaaaaaaa

Answer: 4

Step-by-step explanation:

10 x 4 = 40

11 x4 = 44

18 x 4 = 72

Answer:

$390 is the correct answer

Answer:

390

Step-by-step explanation:

(1300)(.05)(6) = 390

Answer:

h = 5.5

Step-by-step explanation:

2.3 + h = 7.8

-2.3         -2.3

  h = 5. 5

Answer:

The distance is 5.20m

Step-by-step explanation:

Here, we want to get the height of the ladder

To get this, we need to understand that we have a right triangle, with the base of the triangle as 3 m, the angle at the downward part is 60, and we want to get the height of the triangle

The angle here faces the height we want to calculate

This height is known as the opposite

What we have is the adjacent

Now, the trigonometric identity that relates the opposite and the adjacent is the tan

The tangent of an angle is the ratio of the opposite to the adjacent

Mathematically;

tan 60 = h/3

h = 3 tan 60

h = 5.20 m

The ladder is at a height of 5.20 m above the ground

Answer:

Division (Hope this helps)

Step-by-step explanation:

Answer:

y = 4x - 2

Step-by-step explanation:

Given: 4x=2+y

First, subtract 2 on both sides to isolate out y. (Slope-intercept form is y=mx+b)

Once subtracted, you get: 4x-2=y

Rearrange it, and you get: y=4x-2

Answer:

x=9

Have a beautiful day!

Hey.... can anybody help me with a question? "If you can change one thing in your community with design, what would it be and how will it work towards racial justice"?

Answer: x=9

Step-by-step explan

Answer:

radius = 9.38 cm   or   7(sq rt 2) cm

Step-by-step explanation:

sq rt 88(Pi) = radius

radius = 9.38 cm   or   7(sq rt 2) cm

Answer:

16y^2+40y+25

Step-by-step explanation:

[tex] {16y}^{2} + 40y + 25[/tex]

Step-by-step explanation:

(4y−5)^2+80y

Use binomial theorem (a−b)^2=a^2−2ab+b^2 to expand (4y−5)^2.

16y^2−40y+25+80y

Combine −40y and 80y to get 40y.

16y^2+40y+25

Answers:

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

Explanations:

Given:

Length of the parallelogram = 25 feet

Width of the parallelogram = 20 feet

Perpendicular distance from the long side to the opposite long side = 18 feet.

To find:

The area of the piece of land which is a parallelogram.

Solution:

Area of a parallelogram:

[tex]Area=Base\times height[/tex]

Let the longer side, 25 feet is the base, then the height of the parallelogram is 18 feet. So, the area of the parallelogram is

[tex]Area=25\times 18[/tex]

[tex]Area=450[/tex]

Therefore, the area of the piece of land is 450 square feet.

Answer:

d) AAS

Step-by-step explanation:

The angles shared where the triangles share a vertex are equal. Thus Angle-Angle-Side proves congruency.

Answer:

A= 3,B = 2

Hope it helps you

if yes mark me brainliest

Answer:

hence, a = 3

b = 2

Step-by-step explanation:

from the given pair of linear equation we get,

7a + 3b = 27 - ( 1 )

6a + 3b = 24 - ( 2 )

now, subtract equation 2 from equation 1

=》7a + 3b - 6a - 3b = 27 - 24

=》a = 3

now put the value of a in equation 1

=》7a + 3b = 27

=》( 7 × 3 ) + 3b = 27

=》21 + 3b = 27

=》3b = 27 - 21

=》b = 6 ÷ 3

=》b = 2

Answer:

the fastest is 12 meters every 4 seconds

slowest is 8 meters every 6 seconds

Step-by-step explanation:

Answer:

128 square feet

Step-by-step explanation:

Horizontal Gray parts:

12 - 8 = 4 ÷ 2 = 2

2 * 24 = 48 * 2 = 96

Vertical gray parts:

24 - 20 = 4 ÷ 2 = 2

2 * 8 = 16 * 2 = 32

All together:

96 + 32 = 128 square feet

Answer:

B, A.

Step-by-step explanation:

Answer:

52.365

Step-by-step explanation:

53.715 + 51.3 + 52.62 = 157.635

210 - 157.635 = 52.365