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3 years ago

Find the equation of the exponential function represented by the table below: 1 4 16 64

Mathematics

1 answer:

Anton [14]3 years ago

6 0

Only given 1 4 16 and 64 it seems to be y = 4^x assuming that f(0)=1 and f(1)=4 and so on

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there are 6 twenty pound boxes and 8 sixty pound boxes of produce on a truck. how many pounds of produce are on the truck

Klio2033 [76]

6 *20 = 120

8 *60 = 480

120 + 480 = 600 pounds total

6 0

4 years ago

WILL GIVE BRAINLIST AS SOON AS I CAN i thought that this one was 151.45 but it wasn't and I'm not sure what to do

zimovet [89]

Answer:

151.4496

Step-by-step explanation:

Take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2

5 0

3 years ago

Read 2 more answers

What is the value of n when 7n – 18 = 5n + 6?

kirill [66]

Answer:

n=12

Step-by-step explanation:

7n-18 =5n+6

+18 to both sides

7n=5n+24

-5n from both sides

2n=24

divide by 2

n=12

3 0

3 years ago

Read 2 more answers

Solve the following recurrence relation: <br> <img src="https://tex.z-dn.net/?f=A_%7Bn%7D%3Da_%7Bn-1%7D%2Bn%3B%20a_%7B1%7D%20%3D

-Dominant- [34]

By iteratively substituting, we have

$a_n = a_{n-1} + n$

$a_{n-1} = a_{n-2} + (n - 1) \implies a_n = a_{n-2} + n + (n - 1)$

$a_{n-2} = a_{n-3} + (n - 2) \implies a_n = a_{n-3} + n + (n - 1) + (n - 2)$

and the pattern continues down to the first term $a_1=0$ ,

$a_n = a_{n - (n - 1)} + n + (n - 1) + (n - 2) + \cdots + (n - (n - 2))$

$\implies a_n = a_1 + \displaystyle \sum_{k=0}^{n-2} (n - k)$

$\implies a_n = \displaystyle n \sum_{k=0}^{n-2} 1 - \sum_{k=0}^{n-2} k$

Recall the formulas

$\displaystyle \sum_{n=1}^N 1 = N$

$\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2$

It follows that

$a_n = n (n - 2) - \dfrac{(n-2)(n-1)}2$

$\implies a_n = \dfrac12 n^2 + \dfrac12 n - 1$

$\implies \boxed{a_n = \dfrac{(n+2)(n-1)}2}$

4 0

3 years ago

If one quarter (25 cents) is 25% of a dollar, what percent is 23 cents?

Ugo [173]

You need to apply the same reasoning.
25 cents is 25% of a dollar because they are 25 out of 100, that is 25/100 = 25%
For 23 cents is exactly the same reasoning:
23 cents is 23% of a dollar <span>because they are 23 out of 100 cents, that is 23/100 = 23%</span>

5 0

3 years ago