Write an explicit formula for a(n) the n^th term of the sequence 216, 36, 6, ...

Answer:

1 a.) 2t – 2

1 b.) –9z + 4

2 a.) –2v + 3

2 b.) –13k – 9

3 a.) 7w  − 2

3 b.) 10s

4 a.) 5

4 b.) –3p + 11

5 a.) –29x + 9

b.) 15v – 60x – 2

a.) 25n + 2

b.) –15n

a.) –71x + 4

b.) –15b

Step-by-step explanation:

1 a.) –2t + 5t – 2 – t →  2t – 2

1 b.) –5z + 4 – 4z →  –9z + 4

2 a.) 8v + 3 – 10v →  –2v + 3

2 b.) –6 – 6k – 3 – 7k →  –13k – 9

3 a.) –6 – 3w + 4 + 10w →  7w  − 2

3 b.) 9s + s →  10s

4 a.) 6 + 8b – 1 – 8b →  5

4 b.) 1p + 6 + 5 – 4p →  –3p + 11

5 a.) 4x – 3x + 9 – 6x 5 →  –29x + 9

b.) 9v + 6v – 2 – 10x 6 →  15v – 60x – 2

a.) n + 2 – (–4)n 6 →  25n + 2

b.) 6n – 3n 7 →  –15n

a.) –4x – 4x + 4 – 9x 7 →  –71x + 4

b.) –9b + (–6)b →  –15b

Answer:

[tex]Solution,\\<ACB = <CAF = 90^o [BC ~is~ parallel~ to~ CF~ and ~alternate~ angles]\\In~triangle~ABC,\\<ACB +<ABC+<BAC = 180^o [Sum~of~angles~of~triangle~is~180^o]\\or, 90^o + 28^o +<BAC = 180^o\\or, <BAC = 62^o \\Now,\\<BAC+<AED = <BDE [Sum~of~interior~angles~triangle~is~equal~to~the~exterior~angle]\\or, 62^o+3x = 4x+x\\or, 62^o = 5x-3x\\or, 2x = 62^o\\or, x = 31^o[/tex]

The units of electricity consumed by each of the businesses is given as 214 KWh.

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The total units of used electricity is given as 2996 KWh.

Number of businesses are 14.

Then, the electricity used by each can be obtained by following operation as,

Total Electricity unit ÷ Number of businesses

⇒ 2996 ÷ 14

⇒ 214

Hence, the number of units consumed by each business is given as 214 KWh.

To know more about arithmetic operation click on,

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Answer:

No

Step-by-step explanation:

Here's what's going on: some person buying their furniture sees this sofa and it's $1200. That person sees theres a 1/3 off sale! They're happy and buy their sofa with a 20% off discount they got.

Now we have to find out  if they should use the 20% off discount before or after adding the 1/3 off sale.

The answer is, they're both the same.

Say they add the 1/3 off sale discount and then use their 20% off discount. Find the 1/3 off sale: 1200 divided by 3 (because fractions are division problems) = 400. 20% of 400: 400 x 0.2 = 80. It's not just 80, because it's not an "only pay 20%" discount. 400 - 80 = 320. They'd pay $320 with this method.

This shows that using the 20% discount after the 1/3 off sale the customer spends $320.

Now let's calculate what happens if they use the discount after the 1/3 off sale. 20% of 1200: 1200 x 0.2 = 240. 1200 - 240 = 960. Now adding the 1/3 off sale: 960 divided by 3 = 320. They'd also pay $320 with this method.

If it's a short answer, you could just write something like, "No, both methods end up with the sales associate paying $320."

Hope this helps!

Answer:

Step-by-step explanation:

basically, what they are asking you is to factor and then plug in the values (x=3; x=4) that they gave you.

first, you need to factor out the equation.

start with the original equation.

V=4x^3+10x^2+4x

factored form:

V= 2x(2x^2+5x+2)

next, you're going to want to plug in the values.

the answer asks for x=4, but you should do both.

v=2(3)(2(3)^2+5(3)+2)

do not forget to do the exponents before!

v=6(18+15+2)

v=6(35)

v=210 ft^2

that's the answer for if x was equal to 3.

V= 2x(2x^2+5x+2)

don't forget to write the original equation first.

V=2(4)(2(4)^2+5(4)+2)

V=8(36+20+2)

⬆is your answer! hope this helped!!

Answer:

a

Step-by-step explanation:

Answer:

138 is an exterior angle

58 and x is interior

add

x is 80

Step-by-step explanation:

Answer:

15 Rolls.

Step-by-step explanation:

This problem is one that can be solved simply by dividing.

Take 5, and divide that by 1/3.

However, you can't just do this. The way I did it was by turning 5 into 5/1. Then, Multiply by the reciprocal, which would be 5 x 3, which equals 15.

Answer:

Step-by-step explanation:

Density=mass/volume

Density=826/350

Density=2.36g/cm³

Answer:

10 weeks

Step-by-step explanation:

Answer:

11 weeks

Step-by-step explanation:

34 x 11 = 374, 374 + 125.50 = 499.5

Answer: Mean Absolute Deviation Calculator

Instructions

This calculator computes the mean absolute deviation from a data set:

You do not need to specify whether the data is for an entire population or from a sample. Just type or paste all observed values in the box above. Values must be numeric and may be separated by commas, spaces or new-line. Press the "Submit Data" button to perform the computation. To clear the calculator, press "Reset".

What is the mean absolute deviation

The mean deviation is a measure of dispersion, A measure of by how much the values in the data set are likely to differ from their mean. The absolute value is used to avoid deviations with opposite signs cancelling each other out.

Mean absolute deviation formula

This calculator uses the following formula for calculating the mean absolute deviation:

$ MAD =\frac{1}{n} \sum_{i=1}^n |x_i-\bar{x}|$

where n is the number of observed values, x-bar is the mean of the observed values and xi are the individual values.

A, C, and D, are the correct ones I believe.

Answer:

A) -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

2x² + 4x - 3

x = -2

Step 2: Evaluate

Answer:

[tex]\huge\boxed{\text{A) -3}}[/tex]

Step-by-step explanation:

To find the value of this equation when [tex]x=-2[/tex], we can substitute this value inside the equation and use PEMDAS to successfully find the value.

With the expression of [tex]2x^2+4x-3[/tex], let's substitute -2 in as x.

Now let's follow PEMDAS to solve this equation.

PEMDAS states that when solving an expression/equation, the order we must follow is

We can now solve for this.

We see that exponents come before multiply and dividing. Therefore:

So the value of our first term is 8.

Our second term will be [tex]4 \cdot -2 = -8[/tex], and our last term will remain -3.

Adding these values together:

[tex]8 - 8 - 3 = -3[/tex]

Therefore, the value of this expression when x = -2 is -3.

Hope this helped!

Answer:

none of them.

Step-by-step explanation:

A. 7 and 4 can not go into 30

B & D are the same choice and LCD is 15

C. LCD is 15

Answer:

197

Step-by-step explanation:

Divide 1640 by 25

1640/25=65

Then multiply 65 and 3

65x3=197

Answer:

Nothing to choose an answer from...

Step-by-step explanation:

Answer:

2,838,348

Step-by-step explanation:

hope this helps monkay

Answer:

2,838,348 love

Step-by-step explanation:

Answer:

12.89

Step-by-step explanation:

Answer:

13.38

Step-by-step explanation:

Subtract -0.47 from 13.36 to get ur answer.

TRUST me it works!

Answer:

I belive it is 1 13/15

Step-by-step explanation:

Answer:

if it is a fraction, it is 5/4. If it is a decimal, it is 1.25

Step-by-step explanation:

15/12 = 5/4 = 1.25

Answer:

1.25

Step-by-step explanation:

Answer:

1,300 is the final answer

Step-by-step explanation:

Answer:

side length = (x+11)

Step-by-step explanation:

area = x^2+22x+121

side length = sq rt (x^2+22x+121)

side length = (x+11)

Answer:

B.

Step-by-step explanation:

First, (3/2) is greater than 1, which therefore eliminates A and D.

Second, you must determine if the triangle gets larger or smaller. Lets suppose that X = 2 and Y = 3. If we were to multiply both of these values by (3/2), our points would change to X = 3 and Y = 4.5

Since there was an increase, this means that the triangle was larger.

This leaves B as the answer.

Remember: Any scale value greater than 1 is an enlargement, as proven by the hypothetical.

Answer:

The answer is b owo

Answer:

Question 1: square root of 109

Question 2: 2, 1, 1

Question 3: True

Step-by-step explanation:

The square root of 109 is about 10.4 which is greater than 5 and 9.

In the equation a^2 + b^2 = c^2, a and b represent the legs of a triangle and c represents the hypotenuse.

The Pythagorean Theorem states that For all right triangles the square of the hypotenuse is equal to the square of both sides. (a^2 + b^2 = c^2)

enjoy

Answer:I would presume 15

Step-by-step explanation:

I haven’t done any math yet but they should each have 1 head