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postnew [5]
2 years ago
5

Distance H in feet that an object falls in T seconds is modeled by the formula H equals 16 T2 squared if you drop a rock from a

cliff 1960 above the water how long will it take the rock to hit the water
Mathematics
1 answer:
Ymorist [56]2 years ago
7 0

Answer:

after 11.07secs

Step-by-step explanation:

Given the height of an object modeled by the equation

H = 16T² - 1960

The height of the object on the surface of water is zero, hence H = 0

Substitute

0 =16T² - 1960

Swap

16T² - 1960 = 0

16T² = 1960

T² = 1960/16

T² = 122.5

T = 11.07

Hence the rock will hit the surface of the water after 11.07secs

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write a function g whose graph represents a translation 2 units to the right followed by a horizontal stretch by a factor or 2 o
Alenkinab [10]
\bf f(x)=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
y=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
f(x)=&{{  A}}\sqrt{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}}(\mathbb{R})^{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}} sin\left({{ B }}x+{{  C}}  \right)+{{  D}}\\\\
f(x)=&{{  A}} \left|{{ B }}x+{{  C}}  \right|+{{  D}}
\\\\
--------------------\\\\

\bf \bullet \textit{ stretches or shrinks horizontally by  } {{  A}}\cdot {{  B}}\\\\
\bullet \textit{ flips it upside-down if }{{  A}}\textit{ is negative}\\
\left. \qquad   \right.  \textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{  B}}\textit{ is negative}\\
\left. \qquad   \right.  \textit{reflection over the y-axis}

\bf \bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\
\left. \qquad  \right. if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\
\left. \qquad  \right.  if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{  D}}\\
\left. \qquad  \right. if\ {{  D}}\textit{ is negative, downwards}\\\\
\left. \qquad  \right. if\ {{  D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{  B}}}

with that template in mind, let's see,
 
\bf f(x)=|x| \implies \begin{array}{lllccll}
f(x)=&1|&1x&+0|&+0\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}

so, to shift it to the right by 2 units, simply set C = 2.
to stretch it by 2, set A = 1/2.

the smaller A is, the wider it opens, the larger it is, the more it shrinks.
5 0
3 years ago
Find the volume of the cube
Svet_ta [14]

This is a rectangular prism.  Its volume is V = (length)(width)(height).

Here, V = (10 cm)(3 cm)(2 cm) = 60 cm^3.

4 0
3 years ago
The input is 8 and the output is 26 what's the rule?
LuckyWell [14K]

Answer:

It could either be x * 3.25 or x + 18

Step-by-step explanation:

8 * 3.25 = 26

8 + 18 = 26

3 0
3 years ago
What is the value of (4-2)^3-3X4
Mazyrski [523]
<h2>Answer:</h2>

3 x^{4}-8=0

<h2>Given: </h2>

(4-2)^{3}-3 x^{4}

<h2>Step-by-step explanation:</h2>

In this problem, we need to find the value of the given expression for which we need to simplify the given expression.

\Rightarrow(4-2)^{3}-3 x^{4}=0

We need to solve the numbers within the parentheses.

\Rightarrow(2)^{3}-3 x^{4}=0

We can bring the constant one side and variables another side.

\Rightarrow 8=3 x^{4}

Taking fourth root for ‘8’ and ‘3’ will give numbers which are very tough to solve further.

Since, we cannot solve the above equation further. The value of the given equation remains,

\therefore 3 x^{4}-8=0

6 0
3 years ago
What is 2.5 in simplest form
vfiekz [6]
2.5 still if you make it a fraction it would be 2 and 1 1/2 so you can't simplify that any more
6 0
3 years ago
Read 2 more answers
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