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Ymorist [56]
3 years ago
13

On a farm, the farmer decides to give pizza to her 12 ducks as a special treat. She orders 3 pizzas, and the total price is $25.

71. What is the unit price of each pizza? $8.57 $13.71 $22.71 $77.13
Mathematics
2 answers:
nydimaria [60]3 years ago
8 0

Answer: The answer is 8.57$

oksano4ka [1.4K]3 years ago
4 0

Answer: $8.57

Step-by-step explanation:

You divide $25.71 by 3.

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Find the taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that
Bond [772]

Taylor series is f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2}  }

To find the Taylor series for f(x) = ln(x) centering at 9, we need to observe the pattern for the first four derivatives of f(x). From there, we can create a general equation for f(n). Starting with f(x), we have

f(x) = ln(x)

f^{1}(x)= \frac{1}{x} \\f^{2}(x)= -\frac{1}{x^{2} }\\f^{3}(x)= -\frac{2}{x^{3} }\\f^{4}(x)= \frac{-6}{x^{4} }

.

.

.

Since we need to have it centered at 9, we must take the value of f(9), and so on.

f(9) = ln(9)

f^{1}(9)= \frac{1}{9} \\f^{2}(9)= -\frac{1}{9^{2} }\\f^{3}(x)= -\frac{1(2)}{9^{3} }\\f^{4}(x)= \frac{-1(2)(3)}{9^{4} }

.

.

.

Following the pattern, we can see that for f^{n}(x),

f^{n}(x)=(-1)^{n-1}\frac{1.2.3.4.5...........(n-1)}{9^{n} }  \\f^{n}(x)=(-1)^{n-1}\frac{(n-1)!}{9^{n}}

This applies for n ≥ 1, Expressing f(x) in summation, we have

\sum_{n=0}^{\infinite} \frac{f^{n}(9) }{n!} (x-9)^{2}

Combining ln2 with the rest of series, we have

f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2}  }

Taylor series is f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2}  }

Find out more information about taylor series here

brainly.com/question/13057266

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3 0
1 year ago
A gumball machine contains equal numbers of red, yellow, green, and blue gumballs. It randomly gives out one gumball for each pu
Oksi-84 [34.3K]

Answer: 50%

Step-by-step explanation: there are 4 options and it’s the probability of getting two

5 0
3 years ago
The output is eight more than the input
d1i1m1o1n [39]

Answer:

x = input

y = output

y = 8 + x

7 0
3 years ago
A group of college students developed a solar-powered car and entered it in a race. The car travels at a constant speed of 100 m
nekit [7.7K]

Answer:

A) Distance time graph

B) d(t) = 25t

C) The expression shows the distance more clearly.

Step-by-step explanation:

A) A distance time graph as seen in the attachment provides a representation of the distance travelled.

We are told the car travels at a constant speed of 100 meters per 4 seconds. Which means that 100 m for each 4 hours. So, for 200m, it's 8 hours like seen in the graph and for 300m,it's 12 hours as seen in the graph.

B) And expression for the distance is;

d = vt

Where;

d is distance in metres

v is speed in m/s and t is time

We are told that the car travels at a constant speed of 100 meters per 4 seconds.

Thus, v = 100/4 = 25 m/s

Distance travelled over time is;

d(t) = 25t

C) Looking at both A and B above, it's obvious that the expression of the distance shows a more clearer way of getting the distance because once we know the time travelled, we will just plug it into the equation and get the distance. Whereas, for the representation form, one will need to longer graphs if the time spent is very long.

6 0
3 years ago
You start with a penny which doubles each day for 30 days. How much money would you have after 30 days?
Radda [10]

Answer:

$555,765.76

Step-by-step explanation:

1

2

4

8

16

32

64

128

256

512

1024

2048

4096

8192

16282

32564

65128

13256

26512

53024

106048

212096

424192

868384

1736768

3473536

6947072

13894144

27788288

55576576=

555,765.76

6 0
3 years ago
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