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Musya8 [376]
3 years ago
10

The​ ____ is another term for the arithmetic average.

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
3 0

The answer is the mean.

"For a data set, the arithmetic mean, also called the mathematical expectation or average, is the central value of a discrete set of numbers: specifically, the sum of the values divided by the number of values."- Wikipedia

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Please help me with this please and thank you
Ierofanga [76]

Step-by-step explanation:

a geometric sequence means that every term is created by multiplying the previous term by a certain constant factor. this factor is called the "common ratio".

so,

6×r = 18

r = 18/6 = 3

and a quick check tells us this works also for the next terms (18×3 = 54, 54×3 = 162), so it is indeed a geometric sequence with common ratio 3.

a0 = 6

a1 = a0 × 3 = 6×3 = 18

a2 = a1 × 3 = a0 × 3×3 = 6×3² = 54

an = a0 × 3^n = 6 × 3^n

so,

f(x) = 6×3^x, x is integer, x >=0

4 0
2 years ago
Given f(x) = x2 + 4x − 1 and g(x) = 5x − 7, identify (fg)(x).
8_murik_8 [283]
<span> f(x) = x^2 + 4x − 1 and g(x) = 5x − 7
</span>(fg)(x) =  (x^2 + 4x − 1)(5x − 7)
(fg)(x) = 5x^3 + 20x^2 - 5x - 7x^2 - 28x + 7
(fg)(x) =  5x^3 + 13x^2 - 33x + 7

answer is C. third choice

(fg)(x) =  5x^3 + 13x^2 - 33x + 7

4 0
3 years ago
Calculate the number of acres required to produce 1,000 gallons of oil in one year from microalgae and soybeans. Which one (micr
Inessa05 [86]

Answer:

microalgae required less space.

Step-by-step explanation:

Amount of oil to be produced = 1,000 gallons

Now,

We know

10,000 gallons of oil is extracted from the miroalgae per acre per year

and,

From soyabeans the oil extracted = 50 gallons per acre per year

therefore,

To produce 1,000 gallons number of acres required by microalgae

= [ Amount of oil to be produced ] ÷ [ oil extracted per acre from microalgae]

= 1,000 ÷ 10,000

= 0.1 acres

similarly

To produce 1,000 gallons number of acres required by soyabeans

= [ Amount of oil to be produced ] ÷ [ oil extracted per acre from soyabeans]

= 1,000 ÷ 50

= 20 acres

hence,

microalgae required less space.

7 0
3 years ago
I have a math question
Elena L [17]

For the first question; we have a problem dealing with translations. Our goal is to translate the word problem into an algebraic one. So our numbers are 60, 2, and 5. Our variable, or the letter holding the unknown number's place value,  is N. <span>

</span>The problem states that 60 is MORE THAN the PRODUCT of 5 and N. Focus on the words I bolded and capitalized. These are your key words that tells you what operations you need to use. Note that 'product' signals the operation of multiplication (Since the answer you get from multiplying numbers is called the 'product'.) and 'more than' signals the operation of addition (Because you are left off with more than you originally had before adding). <span>

</span>Now that we know that our algebraic expression contains multiplication, addition, letter N and the numbers 2 and 5; we can start plugging the numbers in.<span>

</span>60 = 2 (more than) + (product of) 5N. The answer for the first attachment is B. <span>

</span>_____________________________________________________________<span>

</span>All we need to do for the AB problem (Question 25 on your material) is solve AB.<span>

</span>Note 1: When a problem has no operation separating two letters or numbers, this means multiplication.<span>

</span>Note 2: A and B are variables. Variables are letters that stand for and hold the place of our unknown quantities. However, the values are not unknown anymore given the fact that the question tells us that A= 42 and B = 2. Thus we substitute A with 42 and B with 2, then work from there. 42 * 2 =84. Answer = A.

____________________________________________________________________

And finally, for question 26, we use PEMDAS. P = parenthesis (), E = exponent x^2, M/D = x or /, A/S means + or subtraction.

According to PEMDAS, we first solve what's parenthesis, which is 77 – 32. Using mental math, 77 – 32 = 45. ( 7 – 3 = 4 and 7 – 2 = 5.). 5/9 * 45 is what we have left. 5 divided by 9 =0.5555555555555556. 0.5555555555555556 * 45 = 25. Answer is D. 

6 0
3 years ago
*brainliest for best answer thank you* Solve for b.
vekshin1

Hello from MrBillDoesMath!

Answer:

The fourth choice,  b = +\- sqrt( sg + a^2)

Discussion:

s = (b^2 - a^2)/g     =>              multiply both sides by "g"

sg = b^2 - a^2        =>               add a^2 to both sides

sg + a^2 = b^2       =>                take the square root of each side

b = +\- sqrt( sg + a^2)


which is the fourth choice.


Thank you,

MrB

7 0
3 years ago
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