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Likurg_2 [28]
3 years ago
14

Does the function model exponential growth or decay f(x)=3*(7/4)^x

Mathematics
2 answers:
Semenov [28]3 years ago
5 0

Answer:

It models exponential growth.

Step-by-step explanation:

7/4 > 1, so f(x) grows at an exponential rate as x increases.

A graph of f(x) is attached below, showing the exponential growth.

Lubov Fominskaja [6]3 years ago
3 0

Answer:

Exponential functions are patterns that get continuously multiplied by some number. It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.

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if it rains tomorrow, the probability is 0.8 that john will practice the piano. if it does not rain tomorrow, there is only a .4
olga nikolaevna [1]
P(J / R) = P (J and R) / P(R) 
<span>0.8 = P (J and R) / 0.6 </span>
<span>P (J and R) = 0.6 * 0.8 = 0.48 [Probability John practicing and it is raining] </span>

<span>P(J / NR) = P (J and NR) / P(NR) </span>
<span>0.4 = P (J and NR) / (1 - 0.6) = P (J and NR) / 0.4 </span>
<span>P (J and NR) = 0.4 * 0.4 = 0.16 [Probability John practicing and it is not raining] </span>

<span>Hence; </span>
<span>Propability of John practicing regardless of weather condition is </span>

<span>P(John Practicing) = 0.48 + 0.16 = 0.64</span>
6 0
3 years ago
Read 2 more answers
Find the lengths of the segments with variable expressions
nlexa [21]

Answer:

EF = 7 units

AD =  3 units

BC =  11 units

Step-by-step explanation:

Since it is an isosceles trapezoid and the midsegment is x, the sum of the bases divided by 1/2 is the value of the midsegment, x.

x = 1/2(x-4 + 2x-3)

x = 1/2x - 2 + x - 1 1/2

x = 1 1/2 x - 3.5

-1/2 x = -3.5

x = 7 units

EF = 7 units

AD = 7-4 = 3 units

BC = 2(7) - 3 = 11 units

5 0
3 years ago
Help with this question please!
Andre45 [30]

Answer:

\large\boxed{x=2,\ -2}

Step-by-step explanation:

\text{If the trapezoid EFGH is isosceles, then the angles}\ HEF\ \text{and}\ GFE\\\\\text{are congruent. Therefore}\ m\angle HEF=m\angle GFE.\\\\\text{We have the equation}\\\\4x^2+16=5x^2+12\qquad\text{subtract 16 from both sides}\\\\4x^2=5x^2-4\qquad\text{subtract}\ 5x^2\ \text{from both sides}\\\\-x^2=-4\qquad\text{change the signs}\\\\x^2=4\to x=\pm\sqrt4\\\\x=-2\ or\ x=2

3 0
4 years ago
How many 4-digits number can be formed out of 0,1,2,3,5,7 and 8. If:
Bad White [126]

Answer:

Below in bold.

Step-by-step explanation:

No repetition.

There are a total of 7 numbers.

For the number to be even it must end in 0,  2 or 8.

The other 3 numbers will be the number of permutations of 3 from  the 6 other numbers.

Number of 4 digit numbers ending in 0

= 6P3 = 6! / 6-3!

= 120.

Now the number could also end in 2 or 8,

so there are 3*120 = 360 4-digit even numbers (no repetition).

With repetition.

There are 3 * 7^3 = 1029  with repetition.

5 0
3 years ago
A sports club offers an organized basketball league. A team pays $600 to join their league. In addition to paying their share of
egoroff_w [7]

Answer:

5

Step-by-step explanation:

600-775=125

25x5=125

4 0
3 years ago
Read 2 more answers
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