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mel-nik [20]
3 years ago
12

1. Which function represents exponential decay?

Mathematics
1 answer:
MatroZZZ [7]3 years ago
7 0

Answer:

y= 7^-t

Step-by-step explanation:

Equation for exponential decay:

An equation represents exponential decay if a term between 0 and 1 is elevated to the independent variable.

In this question:

First option 4 is elevated, so not exponential decay.

Second option:

7^{-t} = \frac{1}{7^t} = (\frac{1}{7})^{t}

0 < \frac{1}{7} < 1, thus, the second option represents exponential decay.

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Chuck and Dana agree to meet in Chicago for the weekend.chuck travels 60 miles in the same time that Dana travels 52 miles. if c
Katarina [22]
Chuck travels at A) 30 mph

since chuck and dana travelled at the same amount of time (2 hours), dana travels at 26 mph, which is 4 mph less, and chuck travels at 30.
8 0
3 years ago
HELP ASAP question 5!!!
AnnyKZ [126]

Step-by-step explanation:

Total area of merged figure = area of vertical rectangle + area of horizontal rectangle.

\therefore \: 3x(2x - 7) + (3x + 4)x = 85 \\  \\  \therefore \: 6 {x}^{2}  - 21x+ 3 {x}^{2}  + 4x = 85 \\  \\ \therefore \: 6 {x}^{2}  + 3 {x}^{2} - 21x + 4x  - 85 = 0 \\  \\ \huge \red {\boxed {\therefore \: 9 {x}^{2}  - 17x  - 85 = 0}} \\ hence \: proved.

8 0
3 years ago
Read 2 more answers
A password is 4 characters long and must consist of 3 letters and 1 of 10 special characters. If letters can be repeated and the
Ne4ueva [31]

The number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

<h3>What is the rule of product in combinatorics?</h3>

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in p \times q ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

We're specified that:

  • The password needs to be 4 characters long
  • It must have 3 letters and 1 of 10 special characters.
  • Repetition is allowed.

So, each of 3 characters get 26 ways of being 1 letter. (assuming no difference is there between upper case letter and lower case letter).

And that 1 remaining character get 10 ways of being a special character.

So, by product rule, this choice (without ordering) can be done in:

26 \times 26 \times 26 \times 10 = 175760 ways.

Now, the password may look like one of those:

  1. L, L, L, S
  2. L, L, S, L
  3. L, S, L, L
  4. S, L, L, L

where S shows presence of special character and L shows presence of letter.

Those 175760 ways are available for each of those four ways.

Thus, resultant number of ways this can be done is:

175760 \times 4 = 703040

Thus, the number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

Learn more about rule of product here:

brainly.com/question/2763785

5 0
2 years ago
X to the third plus 64 equal 0
GREYUIT [131]

x^3 + 64 = 0

Subtract both sides by 64:

x^3 = -64

x = -4

3 0
3 years ago
3.)
kotykmax [81]

Answer:

Let’s find out...

Step-by-step explanation:

21 x 13 = 273

(13 x 20) + (13 x 1) =

260 + 13 = 273

So this one matches

(21 x 10) + 213 =

210 + 213 = 423

Does not match

(30 x 13) - (9 x 13) =

390 - 117 = 273

This one matches

(20 x 10) + (1 x 3) =

200 + 3 = 203

Does not match

5 0
3 years ago
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