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Anton [14]
3 years ago
9

A pencil box contains five

Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0

Answer:

red pencil=5/24

yellow pencil=6/24

Blue pencil=8/24

Orange pencil=3/24

purple pencil=2/24

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1. Writing an equation for an exponential function by
Naya [18.7K]

Answer: 1) t(n)=0.6(2)^n

2) f(x)=10(5)^x

Step-by-step explanation:

1) Let the function that shows the thickness of the paper after n folds,

t(n) = ab^n         ---------(1)

Since, According to the question,

Initially the thickness of the paper = 0.6

That is, at n = 0, t(0) = 0.6

By equation (1),

0.6 = a(b)^0\implies 0.6 = a

Hence the function that shows the given situation,

t(n) = 0.6 b^n       -----------(2)

Again when we fold the paper the thickness of the paper will be doubled.

Thus, at n = 1, t(1) = 1.2

By equation (2),

1.2 = 0.6 b^1\implies 2 = b

Thus, the complete function is,

t(n) = 0.6 (2)^n    

2) Let the function that is passing through the points (-2, 2/5) and (-1,2),

f(x) = ab^x         ---------(1)

For f(x) = 2, x = -1

By equation (1),

2= ab^{-1}       ---------(2)

Also, For f(x) = 2/5, x = -2

Again, By equation (1),

\frac{2}{5}= a(b)^{-2}

\implies \frac{2}{5}=ab^{-1}b^{-1}=2b^{-1}

\implies \frac{2}{5}=\frac{2}{b}

\implies 2b=10

\implies b = 5

By substituting this value in equation (2),

We get, a = 10

Hence, from equation (1), the function that is passing through the points (-2, 2/5) and (-1,2),

f(x) = 10(5)^x

5 0
3 years ago
Hi please help me I'm in the middle of a test and I don't want to get grounded
lawyer [7]

Answer:

8(3j-2)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Maggie made 3 stacks of wooden blocks. The first stack was 12 blocks tall. The second stack was 3 blocks taller than the first.
geniusboy [140]
<span>first stack = 12 blocks second stack = 12 + 3 = 15 blocks third stack = 15 - 7 = 8 12 + 15 + 8 = 35 blocks

So: D XDD


</span>
8 0
3 years ago
Read 2 more answers
PLEASE HELP ME ASAP!!!!!!!!!!!
ehidna [41]
Look at the picture below!

6 0
2 years ago
Help
Novosadov [1.4K]
Well, you can actually tell it is D without solving it because it is the only one that has the x value as 3.  But just to be sure.

Plug in 3 for x into the equation:
3(3)-y=9 and solve for y
9-y=9 subtract 9 from both sides
-y=0 so y=0

so the value is (3,0)
4 0
3 years ago
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