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sveticcg [70]
3 years ago
12

Angela opened a new bakery. She got orders for 2 cakes the first week, 4 cakes on the second week, and 8 cakes the third week. I

f this pattern continues, how many cake orders will Angela get the fourth week?
(Please show work)
Mathematics
1 answer:
seraphim [82]3 years ago
7 0
This is a geometric series where r=2.  So your fourth week should be 16.

i= 1 and n=4 so your equation is (1-r^n)/(1-r)

This would be 1-16/1-2= -15/-1= 15/1 = 15

Now just add your initial value (i=1) 1+15 = 16

So 16 cakes
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A sample of 40 11th graders were asked to select a favorite pattern out of 6 choices. The following display shows what their fav
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Answer:

C. Graph C

Step-by-step explanation:

To easily find out which graph correctly displays the data from the list and table, note, the frequency of each color that in ascending order.

The color with the highest frequency would have the longest bar, followed by the 2nd highest, then the third, and so on. Thus, frequency should tally with the length of the bar.

From the table given, the top 3 are:

Pink polka dots => 12

Purple => 8

Ted and orange stripes => 7

Green => 6

Blue and gray => 4

Yellow => 3

The graph that has length of bars that corresponds to the frequency of the colors is graph C

3 0
3 years ago
The paper scissors pencils stickers and paint belong on the top shelf of the craft closet.
Zolol [24]
Answer: The paper, scissors, pencils, stickers, and paint belong on the top shelf of the craft closet.

Explanation: When you are listing items, you need to place a comma in between them. The comma in between the “stickers” and “and” is the Oxford comma. When you lost multiple items, you need a comma after the word before “and”.
8 0
3 years ago
Read 2 more answers
If g(x) is the inverse of f(x), what is the value of f(g(2))?
Elan Coil [88]

Answer:

2

Step-by-step explanation:

So to figure this out we just need to flip the values of x and y in the table and then redefine that as the function g(x), because an inverse is essentially the reverse!

So if we flipped x and y's for f(x). We would see that our output or y of g(x) is -3 when x = 2, or in other words g(2) = -3. This means that we are now going to solve for when f(-3). So now lets look at the table and find the value at x = -3 for f(x). This value is 2, so the value of f(g(2)) = 2.

*In the future*

When you have a composite function of two inverses they essentially cancel out and would leave whatever the value of x is. So if we know f(x) and g(x) were inverses the value of f(g(2)) would just be 2.

For example:

ln(x) and e^x are inverses so if I had a composition like this:

e^{ln(2)}

The answer to this would be 2 because these inverse functions "'cancel" out

So

e^{ln2} = 2

8 0
4 years ago
Read 2 more answers
I need help with Estimated Variable and Fixed Cost. How do I figure that out in the problem attached?
saul85 [17]

The fixed and variable costs of the given table of production costs are respectively; $161280 and $42

<h3>How to calculate fixed and variable costs?</h3>

Variable costs are costs that vary/change depending on the company’s volume of production while fixed costs are costs that do not change in relation to volume of production.

Fixed costs = Production Cost + Selling expenses + Administrative Expenses

Fixed Cost = $103200 + $21500 + $7300 + $1600 + $1800 + $21000 + $2600 + $2280 = $161280

Variable cost = $15 + $10 + $8 + $3 + $3 + $1 + $2

Variable cost = $42

Read more about fixed and variable costs at;brainly.com/question/15705476

#SPJ1

6 0
2 years ago
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