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Troyanec [42]
3 years ago
8

I know...another one

Mathematics
1 answer:
asambeis [7]3 years ago
4 0

I'm so confused what do you need help with?

You might be interested in
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
What is the volume of this cylinder?
azamat
Divide 1017,36 by pi and by the height (the inverse of the formula for the volume):

1017,36/3,14 = 324
324/9 = 36
6 0
3 years ago
Read 2 more answers
Asap 3 times 687 ill mark brainliest
erastovalidia [21]

Answer: 2061

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Choose Yes or No to tell whether the expressions are equivalent. 4(5c + 3) and 9c + 7 No 10f... 10 and 2(84 - 5) No 12g + 21 and
labwork [276]

6(4j - 6)

Distributing,

6(4j) - 6(6)

24j - 36

which is not equivalent to 24 - 36j

3 0
1 year ago
The yield of strawberry plants depends on the amount of fertilizer fed to the plants. Agricultural research shows that an acre o
kifflom [539]

Answer:

792\ \text{pounds}

Step-by-step explanation:

x_1=70 cubic feet of fertilizer is used in y_1=770 pounds of strawberries

x_2=90 cubic feet of fertilizer is used in y_2=990 pounds of strawberries

x=72 cubic feet of fertilizer is used

Linear interpolation is applied

y=y_1+\dfrac{(x-x_1)(y_2-y_1)}{x_2-x_1}\\\Rightarrow y=770+\dfrac{(72-70)(990-770)}{90-70}\\\Rightarrow y=792\ \text{pounds}

72 cubic feet of fertilizer will yield 792\ \text{pounds} of strawberries.

5 0
2 years ago
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