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svlad2 [7]
1 year ago
5

At a carnival, $2,941.25 in Receipts were taken at the end of the day. The cost of a Child's ticket was $20.50, an Adult ticket

was $29.75 and a Senior Citizen ticket was $15.25. There were twice as many Senior Citizens as Adults and 20 more Children than Senior Citizens. How many of each type of ticket was sold (Adult, Senior, Child)?
Mathematics
1 answer:
frozen [14]1 year ago
4 0

children tickets are 70, adult tickets 50 and senior citizen tickets 25.

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Lesson: 1.08Given this function: f(x) = 4 cos(TTX) + 1Find the following and be sure to show work for period, maximum, and minim
Ber [7]

The given function is

f(x)=4\cos \text{(}\pi x)+1

The general form of the cosine function is

y=a\cos (bx+c)+d

a is the amplitude

2pi/b is the period

c is the phase shift

d is the vertical shift

By comparing the two functions

a = 4

b = pi

c = 0

d = 1

Then its period is

\begin{gathered} \text{Period}=\frac{2\pi}{\pi} \\ \text{Period}=2 \end{gathered}

The equation of the midline is

y_{ml}=\frac{y_{\max }+y_{\min }}{2}

Since the maximum is at the greatest value of cos, which is 1, then

\begin{gathered} y_{\max }=4(1)+1 \\ y_{\max }=5 \end{gathered}

Since the minimum is at the smallest value of cos, which is -1, then

\begin{gathered} y_{\min }=4(-1)+1 \\ y_{\min }=-4+1 \\ y_{\min }=-3 \end{gathered}

Then substitute them in the equation of the midline

\begin{gathered} y_{ml}=\frac{5+(-3)}{2} \\ y_{ml}=\frac{2}{2} \\ y_{ml}=1 \end{gathered}

The answers are:

Period = 2

Equation of the midline is y = 1

Maximum = 5

Minimum = -3

3 0
1 year ago
Find the sum of and 6/7 and 2/3 express your answer in lowest terms.
tensa zangetsu [6.8K]

Answer:

1 11/21

Step-by-step explanation:

6/7 + 2/3 = 32/21

32/21 simplified is 1 11/21

6 0
3 years ago
1. Find the domain and range of the function<br> f(x)=√1-4x².
slamgirl [31]

f(x) =  \sqrt{1 - 4{ x}^{2} }

1 - 4x {}^{2}  \geqslant 0

-  \infty  \:  \:  \:  \:  \:  \:  \:  \:  - 0.5 \:  \:  \:  \:  \:  \:  \:  \:  \: 0.5 \:  \:  \:  \:  \:  \:  \: \:   \infty  \\   -  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \: \:0  \:  \: \:  \:  \:   +  \:  \:  \:  \:0 \:  \:  \:  \:  \:   -

domain \\ [ \: -0.5 \: , \: 0.5 \: ]

g(x) = 1 - 4x {}^{2}  \\ g'(x) =  - 8x \\ g'(x) = 0 \\ x = 0 \\ g(0) = 1 - 4(0) = 1 \\ maximum \:  = 1

range  \\ [ \: 0 \:  ,  \: 1 \: ]

5 0
2 years ago
Read 2 more answers
Answer this<br> PLz i needs to get this done there will be more questions stay alert thank you
Zarrin [17]

The answer is 89,760 feet.

6 0
3 years ago
F
dedylja [7]

Answer:

∠ H ≈ 23°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan H = \frac{opposite}{adjacent} = \frac{FG}{HG} = \frac{5}{12} , thus

∠ H = tan^{-1} ( \frac{5}{12} ) ≈ 23° ( to the nearest degree )

5 0
3 years ago
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