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Nataly_w [17]
3 years ago
8

Identify the sequence graphed below and the average rate of change from n = 1 to n = 3

Mathematics
1 answer:
Finger [1]3 years ago
7 0
Answer: Choice A

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

The first term is 8 as this is the y coordinate of the point when x = 1. 
The second term is 4 (since y = 4 when x = 2)
etc etc

The sequence of terms is: 8, 4, 2, 1, ...

Each time we're dividing by 2, or multiplying by 1/2. This is why r = 1/2

Put this together and we have this geometric nth term formula
an = 8*(1/2)^(n-1)

This means the answer could be A or it could be C. However, we can rule out choice C because the rate of change is not positive. Draw a line through (1,8) and (3,2) and you'll see this line has a negative slope. So the rate of change is negative.

The only answer left is choice A.
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The Cholula Pyramid in Mexico has a height approximately ퟐퟏퟕfeet and a base approximately ퟏퟒퟕퟔfeet by ퟏퟒퟕퟔfeet. The Cheops Pyram
larisa [96]

Answer:

The Cholula Pyramid has a bigger volume out of the two.

Step-by-step explanation:

The volume of a Pyramid is V=1/3Bh

Volume of the Choulula = 1/3 (2,178,576)(217)= 157,583,664

Volume of The Cheops Pyramid = 1/3 (570,025)(480)=91,204,000

157,583,664 is greater than 91,204,000

6 0
3 years ago
What is NOT a characteristic of a polyhedron?<br> A. faces<br> B. vertices<br> C. edges<br> D. lines
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A. Faces

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4 0
2 years ago
F×v= 13,573,692,509 if f stands for 5837 then what is v?
postnew [5]

Answer:

              v = 2,325,457

Step-by-step explanation:

f×v= 13,573,692,509

5837×v= 13,573,692,509

v =  13,573,692,509÷5837

v = 2,325,457

{}\quad\, \underline{\qquad\quad2\ 3\ 2\ 5\ 4\ 5\ 7}\\{}\ \ \,1\ 3\ 5\ 7\ 3\ 6\ 9\ 2\ 5\ 0\ 9\ \div\ 5\ 8\ 3\ 7\\\underline{-1\ 1\ 6\ 7\ 4\ \ \ }\\{}\quad\ \ 1\ 8\ 9\ 9\ 6\\{}\quad\underline{-1\ 7\ 5\ 1\ 1\ \ }\\{}\qquad\ \, 1\ 4\ 8\ 5\ 9\\{}\quad\ \ \underline{-1\ 1\ 6\ 7\ 4\ \ }\\{}\qquad\quad \, 3\ 1\ 8\ 5\ 2\\{}\qquad \ \underline{-2\ 9\ 1\ 8\ 5\ \ }\\{}\qquad\qquad2\ 6\ 6\ 7\ 5\\{}\qquad\quad\, \underline{-2\ 3\ 3\ 4\ 8\ \ }

           {}\quad3\ 3\ 2\ 7\ 0\\{}\,\underline{-2\ 9\ 1\ 8\ 5\ \ }\\{}\quad\ \ 4\ 0\ 8\ 5\ 9\\{}\ \ \,\underline{-4\ 0\ 8\ 5\ 9\,}\\{}\qquad\qquad\quad 0

7 0
4 years ago
Read 2 more answers
PLEASE HELP
Degger [83]

Answer:

1) \frac{m^3}{n^6}

2) \frac{a^3}{b}

3) \frac{y^8}{x^2}

Step-by-step explanation:

To evaluate or simplify expressions with exponents, we use exponent rules.  

1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.

2. When we multiply terms with the same bases, we add exponents.

3. When we divide terms with the same bases, we subtract exponents.

4. When we have a base to the exponent of 0, it is 1.

5. A negative exponent creates a fraction.

6. When we raise an exponent to an exponent, we multiply exponents.

7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.

We will use these rules to simplify.

Problems:

1) \frac{m^3}{n^6}

n^-6 has a negative exponent and should be moved to the denominator while p^0 is equal to 1

2) \frac{a^3}{b}

Divide each base by subtracting exponents. a^4-1 = a^3 and b^-3--2=b^-1. B has a negative exponent so move it into the denominator.

3) \frac{y^8}{x^2}

Simplify inside the parenthesis first by adding exponents of same bases x^-2+3 = x. Then apply the outside exponent using power to a power rule and negative exponent rule.

7 0
4 years ago
Mr. miller has $25 in his savings and wants to put $10 every week into the account. write an equation showing how much money he
iris [78.8K]
The equation you write would be linear, and would be written in slope intercept form y=mx+b. Since Mr. Miller already has $25, we plug that in for "b" in the equation. We plug 10 in for "m", because "x" represents the number of weeks he has been saving. The equation would be y=10x+25. To find how much money Mr. Miller will have in 7 weeks, plug in 7 for x. y=10(7)+25 -> y=70+25 -> y=95 -> $95
7 0
3 years ago
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