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marissa [1.9K]
3 years ago
5

Oliver said, "To the nearest hundred, I’ve attended drama club for 900 days of my life!” Write three numbers that could be the a

ctual number of days Oliver has attended drama club.
A. 743, 970, 933

B. 870, 933, 780,

C. 780, 849, 761,

D. 867, 870, 933
Mathematics
1 answer:
Dmitrij [34]3 years ago
8 0
The answer is D dnsgkstbranat
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If fixed cost of 20 article is 500 and variable cost for each article is 40. Find the total cost function? Also ,find the total
Deffense [45]

Answer:

Cost function = 40a + 500

Cost of 90 articles = $4,100

Step-by-step explanation:

The fixed cost is $500 and it will.not change regardless of production level.

The Variable cost is $40 and increases by every additional unit produced.

Assume the number of articles produced is a.

Cost function would be:

Total cost = Variable cost * Number of articles + Fixed cost

TC = 40a + 500

Using this, the cost of 90 articles is:

= 40 * 90 + 500

= $4,100

6 0
3 years ago
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
juin [17]

Answer:

The Taylor series of f(x) around the point a, can be written as:

f(x) = f(a) + \frac{df}{dx}(a)*(x -a) + (1/2!)\frac{d^2f}{dx^2}(a)*(x - a)^2 + .....

Here we have:

f(x) = 4*cos(x)

a = 7*pi

then, let's calculate each part:

f(a) = 4*cos(7*pi) = -4

df/dx = -4*sin(x)

(df/dx)(a) = -4*sin(7*pi) = 0

(d^2f)/(dx^2) = -4*cos(x)

(d^2f)/(dx^2)(a) = -4*cos(7*pi) = 4

Here we already can see two things:

the odd derivatives will have a sin(x) function that is zero when evaluated in x = 7*pi, and we also can see that the sign will alternate between consecutive terms.

so we only will work with the even powers of the series:

f(x) = -4 + (1/2!)*4*(x - 7*pi)^2 - (1/4!)*4*(x - 7*pi)^4 + ....

So we can write it as:

f(x) = ∑fₙ

Such that the n-th term can written as:

fn = (-1)^{2n + 1}*4*(x - 7*pi)^{2n}

6 0
3 years ago
Find the mean absolute deviation for the set of data. Number of sibblings 2,5,8,9,7/6,3,5,1,4,
Tresset [83]

8,7,9,3,4,9,2

This is correct because I’m in middle school

7 0
3 years ago
Every given minute an ameba is equally likely to do one of 3 things: (1) Die (2) Divide into two (3) Stay the same. If the ameba
nadya68 [22]

Answer:

1

Step-by-step explanation:

we have the probability of dyng = 1.3

we have probability of ying =

p0 = p1 = p2 = p3 = 1/3

d = dying

d=\frac{1}{3} (1+d+d2)

we cross multiply from here

3d = 1+d+d2

3d-d = 1+d2

2d = 1 + d2

(d-1)2 = 0

2d - 2 = 0

2d = 2

divide through by 2

d = 1

therefore there is a a confirmed probability that the ameba from a single cell is eventually going to die out.

8 0
2 years ago
Find the value of x.
eduard

Answer:

4/12=x/18

x=4*18/12

x=6

<u>--------------------------</u>

<u>hope it helps...</u>

<u>have a great day!!</u>

<u></u>

6 0
3 years ago
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