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Vera_Pavlovna [14]
3 years ago
15

Using the exponential function 2x + 3, what is the average rate of change between the values 1 ≤ x ≤ 5?

Mathematics
1 answer:
faust18 [17]3 years ago
7 0

Answer:

Using the exponential function 2x + 3, what is the average rate of change between the values 1 ≤ x ≤ 5?

Step-by-step explanation:

the answer is 1

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In the distance, an airplane is taking off. As it ascends during take-off, it makes a slanted line that cuts through the rainbow
irakobra [83]

Answer:

The equation of the parabola is given to be : y = -x² + 36

So, the airplane will cut the rainbow if the graph of the equation of airplane intersects the graph of rainbow.

Now, to find the equation of airplane :

The points through which airplane passes are : (1,0) and (0,2)

⇒ Equation : 2x + y = 2

This equation will  intersect the parabola at exactly two points.

And the points are the solution of these two equation :

(-4.916,11.832) and (6.916,-11.832)

The required table is :

x        -4.916       11.832

y         6.916      -11.832

7 0
4 years ago
Read 2 more answers
What is the volume of the following rectangular prism?<br> 21/2 units <br> 8/3 units
xeze [42]

Answer:

28 units³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Al ( A is the area of end face and l is the length )

Here A = \frac{21}{2} and l = \frac{8}{3} , thus

V = \frac{21}{2} × \frac{8}{3} ( cancel 21 and 3 by 3 and 2 and 8 by 2 )

= \frac{7}{1} × \frac{4}{1} = 7 × 4 = 28 units³

5 0
4 years ago
E. 25m
jonny [76]

Answer:

The answer is 3/4 which isn't among the choices.

Step-by-step explanation:

\frac{3*2}{2+4}

8 0
3 years ago
Read 2 more answers
Assume that BK Call Center receives 2 phone calls in one hour on average. If the department works 10 hours a day receiving the c
MrMuchimi

Using the Poisson distribution, the probabilities are given as follows:

A. 0.0888 = 8.88%.

B. 0.1354 = 13.54%.

C. 0.8646 = 86.46%.

<h3>What is the Poisson distribution?</h3>

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}

The parameters are:

  • x is the number of successes
  • e = 2.71828 is the Euler number
  • \mu is the mean in the given interval.

Item a:

10 hours, 2 calls per hour, hence the mean is given by:

\mu = 2 \times 10 = 20.

The probability is P(X = 20), hence:

P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}

P(X = 20) = \frac{e^{-20}20^{20}}{(20)!} = 0.0888

Item b:

1 hour, hence the mean is given by:

\mu = 2

The probability is P(X = 0), hence:

P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-2}2^{0}}{(0)!} = 0.1354

Item c:

The probability is:

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1354 = 0.8646

More can be learned about the Poisson distribution at brainly.com/question/13971530

#SPJ1

5 0
2 years ago
Find the area of this circle.
dmitriy555 [2]

Answer:

201.06

Step-by-step explanation:

You can plug in the 8 from the circle into the equation to find the area.

7 0
2 years ago
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