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DochEvi [55]
3 years ago
8

Enrollment in a dance studio has grown exponentially since the studio opened. Below is a graph depicting this growth. Determine

the average rate of change from x = 0 to x = 8.
An exponential graph has time in years on the x axis and enrollments on the y axis. An upward rising curve begins at zero comma twenty and passes through eight comma one hundred and twenty.

120
0.08
20
12.5
Mathematics
2 answers:
stiv31 [10]3 years ago
7 0

Answer:

0.08

Step-by-step explanation:

because i'm smart

Sphinxa [80]3 years ago
6 0

Answer:

0.08

Step-by-step explanation:

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A coin is to be tossed as many times as necessary to turn up one head. Thus the elements c of the sample space C are H, TH, TTH,
slavikrds [6]

Answer:

Step-by-step explanation:

As stated in the question, the probability to toss a coin and turn up heads in the first try is \frac{1}{2}, in the second is \frac{1}{4}, in the third is \frac{1}{8} and so on. Then, P(C) is given by the next sum:

P(C)=\sum^{\infty}_{n=1}(\frac{1}{2} )^{n}=1

This is a geometric series with factor \frac{1}{2}. Then is convergent to \frac{1}{1-\frac{1}{2}}-1=1.. With this we have proved that P(C)=1.

Now, observe that

P(H)=\frac{1}{2}, P(TH)=\frac{1}{4},P(TTH)=\frac{1}{8},P(TTTH)=\frac{1}{16},P(TTTTH)=\frac{1}{32},P(TTTTTH)=\frac{1}{64}.

Then

P(C1)=P(H)+P(TH)+P(TTH)+P(TTTH)+P(TTTTH)=\frac{1}{2} +\frac{1}{4} +\frac{1}{8} +\frac{1}{16} +\frac{1}{32} =\frac{31}{32}

P(C2)=P(TTTTH)+P(TTTTTH)=\frac{1}{32}+\frac{1}{64} =\frac{3}{64}

P(C1\cap C2)=P(TTTTH)=\frac{1}{32}

and

P(C1\cup C2)=P(H)+P(TH)+P(TTH)+P(TTTH)+P(TTTTH)+P(TTTTTH)=\frac{1}{2} +\frac{1}{4} +\frac{1}{8} +\frac{1}{16} +\frac{1}{32} +\frac{1}{64}=\frac{63}{64}

5 0
3 years ago
Are these numbers 7, 0, -3, 0.5, -3/4 rational or irrational?
Diano4ka-milaya [45]

Answer: rational

Step-by-step explanation: 7 has an answer example 7+1 is 8 irrational are the ones that dont get an answer like root numbers

7 0
4 years ago
On Friday, a local hamburger shop sold a combined total of 393 hamburgers and cheeseburgers. The number of cheeseburgers sold wa
Lunna [17]
The answer would be about 98 hamburgers.
This is because you would have to divide 393 by 2 to get 196.5.
Since the number of cheeseburgers is doubled divide 196.5 by 2 to get 98.25.
Add 98.25 to 196.5 and get 294.75.
Subtract.
6 0
4 years ago
Use the discriminant to describe the roots of each equation. Then select the best description.16x2 + 8x + 1 = 0double rootreal a
SSSSS [86.1K]

Hello!

The discriminant of quadratic functions is: b² - 4ac. Since the equation is in standard form, which is Ax² + Bx + C = 0 , we can substitute those values into our discriminant and simplify.

The value of the discriminant will tell us how many solutions there are to the given quadratic equation.

A positive discriminant will have two real solutions.

A discriminant of zero will have one real solution.

A negative discriminant will no real solutions.

1. Substitute, a = 16, b = 8, c = 1.

8² - 4(16)(1)

64 - 4(16)(1)

64 - 64(1)

64 - 64

0

Since the discriminant is zero, the answer is choice A, double root, because since it is raised to the power of 2, it must has two roots, but in this case, both of the roots the same x-values.

3 0
3 years ago
10-4x= -9x <br><br> I need help quick
aniked [119]

Answer:

Answer is x=-2

7 0
3 years ago
Read 2 more answers
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