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3 years ago

What is the amplitude of the cosine function corresponding to the secant function graphed below ? a. -2 b. -1 c. 2 d. 3

Mathematics

1 answer:

Bas_tet [7]3 years ago

7 0

Answer:

Step-by-step explanation:

From the graph, we obtain the trigonometric function as:

$y=2 \sec x+1$

The corresponding cosine function have equation.

$y=2\cos x+ 1$

This function is of the form: $y=a\cos bx+c$

where $|a|$ is the amplitude.

Therefore the amplitude is |2|=2

The third choice is correct

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Tanzania [10]

Answer: x= 54

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2 years ago

Which of the following is a proportion? 9/12= 8/10 3/4= 9/12 6/8= 8/12 12/18= 9/16

solong [7]

Answer:

The proportion is 3/4=9/12

Step-by-step explanation: For proportions you need to write it in a ratio, after doing that, you look at the outside numbers on the ratio on this case it is 3 and 12, multiply that and you get 36, after that do the same with the inside numbers to get another 36.

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2 years ago

Applications 24. A rocket is launched into the air. Its height in feet, after x seconds, is given by the equation The starting h

SVEN [57.7K]

The given function is

$h(x)=-16x^2+300x+20$

According to this function, the starting height of the rocket is 20 feet because that's the initial condition of the problem stated by the independent term.

Additionally, we find the maximum height by calculating the vertex of the function V(h,k).

$h=-\frac{b}{2a}$

Where a = -16 and b = 300.

$\begin{gathered} h=-\frac{300}{2(-16)}=\frac{300}{32}=\frac{150}{16}=\frac{75}{8} \\ h=9.375 \end{gathered}$

Then, we find k by evaluating the function

$\begin{gathered} k=-16(9.375)^2+300(9.375)+20 \\ k=-1406.25+2812.5+20=1426.25 \end{gathered}$

Hence, the maximum height is 1426.25 feet.

At last, to know the time need to hit the ground, we just use h=9.375 and we multiply it by 2

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Hence, the rocket hits the ground after 18.75 seconds.

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9 months ago

Airen’s grandparents deposited $1300 in a mutual fund earning 6% interest compounded annually. Write an equation to represent ho

IRINA_888 [86]

$~~~~~~ \textit{Compound Interest Earned Amount \underline{in 18 years}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1300\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &18 \end{cases}$

$A=1300\left(1+\frac{0.06}{1}\right)^{1\cdot 18}\implies A=1300(1.06)^{18}\implies A\approx 3710.64 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y = 1300(1.06)^x~\hfill$

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2 years ago

What is the actual length of the truck?

Sunny_sXe [5.5K]

Answer:

A GMC truck with a standard cab but a long bed is more than 18 1/2 feet in it's total length. A truck with a double cab and a regular bed is just slightly more than 19 feet long. If a pickup has a larger crew cab with a standard box, the vehicle is about 20 feet long. That depends though, because the sizes may vary depending on the truck

Step-by-step explanation:

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2 years ago