The 25th term of an arithmetic series is 44.5

The sum of the first 30 terms of this arithmetic series is 765

Find the 16th term of the arithmetic series.

Show your working clearly.

Answer:

Pretty sure its 60

Step-by-step explanation:

Basic geometry

Answer:

x=2.6

Step-by-step explanation:

We can use the Pythagorean theorem to find the third side

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

3^2 + x^2 = 4^2  where x is the unknown side

9 + x^2 = 16

Subtract 9 from each side

x^2 = 16-9

x^2 = 7

Take the square root of each side

sqrt(x^2) = sqrt(7)

x =2.645751311

Rounding to the nearest tenth

x = 2.6

Answer:

2.65

Step-by-step explanation:

take the length of the third side as x

so,take Pythagoras theorem

4^2=3^2+x^2

16=9+x^2

x^2=16-9

x^2=7

x=√7

x=2.645

x=2.65

Answer:1760

Step-by-step explanation:you get the money given by the parents minus the money given back to the parents

Answer:

XY = 8

Step-by-step explanation:

XY + YZ = XZ , that is

XY + 17 = 25 ( subtract 17 from both sides )

XY = 8

Answer:

The answer is 33.75 per hour

Step-by-step explanation:

Divide 135 by 4

Answer:

8 a minus 48

Step-by-step explanation:

you need to distribute!!

so you distribute the 8 to both the a and 6

8 times a equals 8 a

8 times 6 equals 48

and so that’s how you get 8 a minus 48 c:

Answer:

8 a minus 48

Step-by-step explanation:

[tex]2=x^2-10x\\\\\implies x^2 -10x =2\\\\\implies x^2 -2\cdot 5 x +5^2 -5^2 = 2\\\\\implies x^2 -2\cdot 5x +5^2 = 2+5^2 \\\\\implies (x-5)^2 = 27\\\\\implies x-5 = \pm\sqrt {27}\\\\\implies x = \pm\sqrt{27} +5=\pm3\sqrt{3}+5\\\\\text{Hence,}~ x = 5+3\sqrt 3~\text{or}~ x = 5-3\sqrt 3[/tex]

Answer:

37

Step-by-step explanation:

it just it

Answer:

Cómo escribir las fracciones en letras?

Así, cuando vayas a leer una fracción, primero menciona el numerador, luego el tipo de partes que se están tomando. Por ejemplo, la fracción se lee siete novenos, y significa que se tomaron siete partes, después de dividir la unidad en nueve.

Step-by-step explanation:

Add 10 to both sides

Step-by-step explanation:

x-10 = 8

x - 10 + 10 = 8+ 10

x = 18

Step-by-step explanation:

Add 10 to both sides

or,x-10+10=8+10

or,x=18

Answer:

$57.60

Step-by-step explanation:

The first thing you want to do is convert 24% to a decimal. To do this you just need to take the current decimal place and move it 2 places to the left. Since this percentage is a whole number the decimal is just after the 4.

(0.24)

Multiply that decimal by the number you want to find the percentage of

$240 * .24 = $57.60

Answer: 5 units

Step-by-step explanation:

5/2 = 2.5

they are 2.5 away on each side of 0 therefore the points are 5 units away from each other

Answer:

17+y

Step-by-step explanation:

Answer:

11.7

Step-by-step explanation:

Since we know what the price was after the discount, we just have to reverse it. In order to apply a discount to a price, you multiply the number by the discount. e.g, 0.40 * x = 4.68. So to find the original price, we have to do the opposite. The opposite of multiplication is division, so divide 4.68 by 0.40, (0.40 is equivalent to 40%.) and we get 11.7.

11.7 is the original price.

Brainliest please?

Answer:

Step-by-step explanation:

Answer:

16.79 - 8.54= ? so the answer is 8.25

Step-by-step explanation:

~Hope this helps you~

Answer:

D) 3^9

Step-by-step explanation:

3^4 3^8 / 3^3

3^4 / 3^3 = 3

= 3 * 3^8

= 3^9

Answer:

(x+2)(x+3)

√2x  

  3

−3  

−4+i

Step-by-step explanation:

Answer:

210

Step-by-step explanation:

There are 7 choices for president.

Then there are 6 choices for vice-president.

Finally, there are 5 choices for treasurer.

7 × 6 × 5 = 210

Answer:

4

Step-by-step explanation: If this regarding the splitting of two polynomials put through the pyth theorem.

Answer:

5.6

Step-by-step explanation:

3/5=0.6

so you would add 5.6 to get 0.6

Answer:

#3 is 100

#2 is west

#1 is 80

Step-by-step explanation:

Answer:

The survey was conducted by a uniform manufacturer that profits from schools requiring school uniforms.

Step-by-step explanation:

The Volume of air needed for a spherical balloon of radius 4 inch and circumference 8π is 85.3 cubic inch

Given Data

Let us find radius

circumference = 2πr

8π = 2πr

8 = 2r

r = 8/2

r = 4 inch

Let us find the volume of the sphere

Volume = 4/3πr^3

Volume = 4/3* π*4^3

Volume = 4/3*π64

Volume = 256π/3

Volume = 85.3 cubic inch

Learn more about volume of sphere here:

https://brainly.com/question/22807400

Name of the shape:

Surface Area of Right Triangular Prism:

⇒ Base x Height + Length(perimeter of the base)

There surface area of this shape is 144 cm²

#a

#b

If sides be L,B,H

Then

#c

Now

[tex](D)\ d(r)=7\times (0,75)^2[/tex]

[tex]r=0.75\ \ \ \ \ d_1=7\times 0.75\ \ \ \ \ d_2=0.75d_1=7\times 0.75^2[/tex]

[tex]so\ at\ 1\le r\le 7[/tex]

[tex]d(y)=7x(0,75)^2[/tex]

I hope this helps you

:)

Answer:

No

Step-by-step explanation:

It is not factorial of any number.

[tex]\cfrac{6!}{3!}\implies \cfrac{6\cdot 5\cdot 4\cdot \qquad 3\cdot 2\cdot 1}{3\cdot 2\cdot 1}\implies \cfrac{6\cdot 5\cdot 4\cdot 3!}{3!}\implies 6\cdot 5\cdot 4\implies 120[/tex]

Answer:

Step-by-step explanation:

Use the factorials formula.

Factorials formula:

[tex]\Longrightarrow: \sf{\dfrac{n!}{(n-m)!}=n*(n-1)* (n-m+1),\:\quad \:n > \:m}[/tex]

→ 6!/3!=6*5*4

⇒ 6*5*4

Solve a order of operations.

PEMDAS stands for:

First, multiply.

→ 6*5*4

⇒ 6*5=30

⇒ 30*4=120

= 120

I hope this helps you! Let me know if my answer is wrong or not.

Each face of a cube has an area of 4 square units, then the volume of the cube is 8 cubic units.

The given information states that each face of the cube has an area of 4 square units.

Since a cube has 6 faces, this means that the total surface area of the cube is:

Total Surface Area = 6 * 4 square units = 24 square units

Now, let's relate the surface area of the cube to its volume:

For a cube, the surface area (S) and the volume (V) are related by the formula:

S = 6s²

Where "s" is the length of each side of the cube. In this case, we have:

S = 24 square units

Substitute this into the formula:

24 = 6s²

Now, solve for "s":

s² = 24 / 6

s² = 4

Take the square root of both sides:

s = √4

s = 2

So, each side of the cube is 2 units long.

Now, to find the volume of the cube, you can use the formula for the volume of a cube:

V = s³

Substitute the value of "s":

V = 2³

V = 8 cubic units

Therefore, the volume of the cube is 8 cubic units.

To learn more on volume click :

brainly.com/question/1578538

#SPJ3

Answer

its A the answer is on quizzes  

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

rational numbers do not have unending numbers trailing it

ex: 1, 1/4 13/2

irrational numbers do not end

(pi, square root of 2)