Here are the first five terms of an arithmetic sequence.

26 19 12 5 -2

Find an expression, in terms of n, for the nth term of this sequence.

(I know part of it is -7n but I'm not sure if it would be 26 or -5 or what for the other part)
Tyyyyy <3

Answer:

1.6 ft.

Step-by-step explanation:

Given that the conical pylons had a radius (r) of 1 foot and a height (h) of 2 foot. The volume of the conical pylons is:

Volume = πr²h/3

Therefore substituting gives:

Volume = π(1)²(2)/3 = 2π/3 ft³

Since the same amount of concrete is used to construct a spherical barrier, hence the volume of the sphere would be the same as the volume of the conical pylon.

Volume of sphere = 4πr³/3

4πr³/3 = 2π/3

2r³ = 1

r³ = 1/2 = 0.5

r = ∛0.5 = 0.8 ft.

Therefore the radius of the spherical barrier would be 0.8 ft. and the height would be 2r = 2(0.8) = 1.6 ft.

The number line inequality will be true for the following condition given in this problem:

When a = 0 and c = -8.

On a number line, real numbers increase from left to right, meaning that:

Large negative numbers come before small negative numbers, which come before small positive numbers, and finally, come the large positive numbers.

For this problem, the inequality is:

c > b > a.

Which means that:

We have that b < -1, hence:

Then the conditions that make the statement b < -1 true are given as follows:

When a = 0 and c = -8.

More can be learned about number line inequalities at https://brainly.com/question/24372553

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Answer:

3/8 tablespoons

Step-by-step explanation:

When we add fractions, we have to make each fraction a common denominator.

So we get 1/4 into 2/8 and we have 1/8

So we add and get 3/8

Answer:

Logan played for 22 minutes during the second half.

Step-by-step explanation:

Since Keith played the first 22 minutes of a soccer game and Logan then replaced him for the rest of the half, and Logan started the second half and was replaced by Wilson with 18 minutes left in the game, if each half is 40 minutes long To determine how long did Logan play during the second half, the following calculation must be performed:

Second Half Total - Time Played by Wilson = Time Played by Logan

40 - 18 = X

22 = X

Therefore, Logan played for 22 minutes during the second half.

Answer:

C. (-5, -2)

Step-by-step explanation:

I used

x1 + / (x2 - x1), y1 + / (y2 - y1)

so

-7 + 1/5(3 - (-7)

-7 + 1/5 (10)

-7 + 10/5

-7 + 2 = -5 (X)

then

-4 + 1/5(6 - (-4)

-4 + 1/5(10)

-4 + 10/5

-4 + 2 = -2 (Y)

(-5, -2)

Answer: Initial height before launch

Step-by-step explanation:

Given

The equation [tex]y=-9.8t+109.7t+7.4[/tex]  the height of toy rocket after t sec

when the rocket is launched, time is [tex]t=0[/tex]

Substituting 0 for [tex]t[/tex] in the equation

[tex]\Rightarrow y(0)=-9.8(0)+109.7(0)+7.4\\\Rightarrow y(0)=7.4[/tex]

Here, [tex]7.4[/tex] represents that rocket is already at a height of [tex]7.4[/tex] m before the launch.

Answer:

v = 2c

Step-by-step explanation:

Answer:

The rate of change would be $3.50 per gallon.

Step-by-step explanation:

In the graph depicted in the picture, when the number of gallons increases by 2, the price increases by $7. Since the graph maintains a constant rate of change, that means the rate of change would be [tex]\frac{7}{2}[/tex] or $3.50 per gallon.

Answer:

D

Step-by-step explanation:

y - 4 = 7(x - 6)                    Remove the brackets

y - 4 = 7x - 42                    Add 4 to both sides

y = 7x - 42 + 4

y = 7x - 38                  

Note when you put this in slope, y intercept form, the ordered pair is easier to find.

Let x = 5

y = 7*5 - 38

y = 35 - 38

y = -3          (5,4) isn't right

Let x = 6

y = 7*6 - 38

y = 42 - 38

y = 4                 That does not work either.

The answer is D

Answer:

Step-by-step explanation:

Formula for total surface area of of the triangular prism is:

Total Surface area (S) = Ph+ 2B

P = Perimeter of the triangular base

P = 6 + 8 + 10

P = 24 cm

h = height of the prism = 10 cm

B = area of the base

B = ½*bh = ½*8*6

B = 24 cm

S = 24*10 + 2(24)

S = 240 + 48

S = 288 cm²

Total surface area = 288 cm²

Answer:

9.24

Step-by-step explanation:

Formula Cylinder = πr² * h

Let's work backwards

Use 3.14 for π

3.14 * (6)² * h = 1044

3.14 * 36 * h = 1044

113.04 * h = 1044

h = 1044 ÷ 113.04

h ≈ 9.24

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

should be the third (81,90)

Step-by-step explanation:

Answer:

system has 1 solution at (2.5, -1.5)

Step-by-step explanation:

y = x - 4     this equation has a slope of 1 and a y-intercept of -4

3y - x = -7   this equation has a slope of 1/3 and a y-intercept of -7/3

Answer:

1 1/4 mile/hr (Answer B)

Step-by-step explanation:

Distance traveled:  1/4 mile; elapsed time:  1/5 hour.  Then:

 1/4 mile

--------------- = 5/4 mile/hr, or 1 1/4 mile/hr (Answer B)

  1/5 hour

Answer:

[tex]C = 45 * 2\pi[/tex]

[tex]C = 90\pi[/tex]

Step-by-step explanation:

Given

[tex]h = 90[/tex] -- height of the wheel

Required

The expression for the distance traveled in 1 revolution

The height of the wheel implies that:

[tex]d =90[/tex] --- diameter equals height

The distance in 1 revolution is calculated by calculating the circumference of the wheel using:

[tex]C = 2\pi r[/tex] or [tex]C = \pi d[/tex]

Where

[tex]r = \frac{1}{2} * d[/tex]

[tex]r = \frac{1}{2} * 90[/tex]

[tex]r = 45[/tex]

So, we have:

[tex]C = 2\pi r[/tex]

[tex]C = 2\pi * 45[/tex]

[tex]C = 45 * 2\pi[/tex]

[tex]C = \pi d[/tex]

[tex]C = \pi * 90[/tex]

[tex]C = 90\pi[/tex]

Answer:

[tex]21(2-x)+12x=44[/tex]

[tex]42-21x+12x=44[/tex]

[tex]42-9x=44[/tex]

[tex]42-9x-42=44-42[/tex]

[tex]-9x=2[/tex]

[tex]-9x=2\\-9 ~~-9[/tex]

[tex]x=-2/9[/tex]

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

hope it helps..

have a great day!!

Answer:

4.8 slices each

Step-by-step explanation:

8*3= 24

24/5= 4.8

Answer: [tex]518.4\ cm^3[/tex]

Step-by-step explanation:

Given

The volume of the small block is [tex]300\ cm^3[/tex]

The ratio of the surface area of small to large block is [tex]25:36[/tex]

Suppose the length of the small and large box is a and b

[tex]\therefore \left(\dfrac{6a^2}{6b^2}\right)=\dfrac{25}{36}\\\\\Rightarrow \left(\dfrac{a}{b}\right)^2=\dfrac{25}{36}\\\\\Rightarrow \left(\dfrac{a}{b}\right)=\dfrac{5}{6}\\\\\therefore \text{Ratio of the volumes of two is }\\\\\Rightarrow \dfrac{a^3}{b^3}=\dfrac{5^3}{6^3}\\\\\Rightarrow \dfrac{V_s}{V_l}=\dfrac{125}{216}\\\\\Rightarrow V_l=300\times \dfrac{216}{125}\\\\\Rightarrow V_l=518.4\ cm^3[/tex]

Square root of 9340 = 96.64

nearby number = 96

square of 96 = 9216

9340- 9216= 124

the smallest number 124 should be subtracted from 9340 so as to get a perfect square.

Answer:

[tex]\displaystyle cos\theta = \frac{2\sqrt{13}}{13}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

[Right Triangles Only] SOHCAHTOA

[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

a = 8

b = 12

c

Step 2: Solve for c

Step 3: Define Pt. 2

Identify variables

Angle θ

Adjacent leg = 8

Hypotenuse = 4√13

Step 4: Find

Answer:

Solution given;

In right angled triangle with respect to θ

perpendicular: opposite side: [P]=12

base:adjacent:[b]=8

hypotenuse [h]=?

cosθ=?

According to the Pythagoras law

h²=p²+b²

h²=12²+8²

h=[tex] \sqrt{208}[/tex]

h=[tex] 4\sqrt{13}[/tex]

Now

we have

Cos θ=[tex]\frac{adjacent}{hypotenuse}[/tex]

Cos θ=[tex]\frac{8}{4\sqrt{13}}[/tex]

by rationalising it

Cos θ= [tex] \frac{2\sqrt{13}}{\sqrt{13}×\sqrt{13}}[/tex]

Cos θ= [tex] \frac{2\sqrt{13}}{13}[/tex]

is a required answer.

Answer:

18 cm^3

Step-by-step explanation:

To find the volume, count the number of cubes, since each cube has a side length of 1 cm

The volume of 1 cube is 1*1*1 = 1 cm^3

There are 6 rows of 3 cubes each or 18 cubes

18 cubes of 1 cm^3 = 18 cm^3

Answer: 18 cubic cm

Step-by-step explanation:

Answer 18 :D !!!

Answer:

I don't know how to explain it well but i got part of my notes and i solved it and i got D. 144 and i got it checked and it was correct

Step-by-step explanation:

Sorry for not helping sooner

Answer:

triangular prism

Step-by-step explanation:

Answer:

Step-by-step explanation:

Below is the pic of how this would be set up in order to determine what it is you are looking for. The angle is set in QI, and since csc A is the reciprocal of sin, the ratio is hypotenuse over side opposite. Solve for the missing side using Pythagorean's Theorem:

[tex]37^2=12^2+b^2[/tex] and

1369 = 144 + b² and

1225 = b² so

b = 35

The sec ratio is the reciprocal of cos, so if cos is adjacent over hypotenuse, the sec is hypotenuse over adjacent, which is 37/35

15.56 in.

Step-by-step explanation:

i'm pretty sure i did it right, but im not sure. i haven't done geometry in like over 2 years.

find the hypotenuse of the triangle with 7 in. and 12 in. as your legs with the Pythgorean theorem (a^2 + b^2 = c^2, c equals the hypotenuse)

use that number you just got (I got ) and use it as one leg, and 7 in. as the other leg, with d as your hypotenuse

use the Phythagorean theorem again to find d, andddd... you've got your answer!

Answer: Ok well when you do the math you get 14.76 then round to the nearest tenth of an inch you get 17.8. So, d ≈ 14.8

Step-by-step explanation:

I did the math...

Answer:

Length=3/4 mi  and width=1/2 mile so

L:W=(3/4):(1/2)  by convention we will express this ratio with integers...multiplying both fractions by 4 we get:

Area =3:2

Answer:

[tex]n = -3[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

-5-2n=8n+25

-5-25=8n+2n

-30=10n

-30/10=n

-3=n

Step-by-step explanation:

therefore n=-3

Hope this helps u!!

Answer:

The answer would be 71 because x = 9 so y = 71