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SVETLANKA909090 [29]
3 years ago
11

Travel time: 3.5 hours

Mathematics
1 answer:
kifflom [539]3 years ago
8 0
60 mi/h * 3.5 h = 210 mi
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Which function has a phase shift of pi/2 to the right?
Bess [88]
If it helps you any

\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\
% function transformations for trigonometric functions
\begin{array}{rllll}
% left side templates
f(x)=&{{  A}}sin({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\

\end{array}

\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks}\\
\quad \textit{horizontally by amplitude } |{{  A}}|\\
\bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\
\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\
\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\
\end{array}

\bf \begin{array}{llll}

\bullet \textit{vertical shift by }{{  D}}\\
\qquad if\ {{  D}}\textit{ is negative, downwards}\\
\qquad if\ {{  D}}\textit{ is positive, upwards}\\
\bullet \textit{function period}\\
\qquad \frac{2\pi }{{{  B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\
\qquad \frac{\pi }{{{  B}}}\ for\ tan(\theta),\ cot(\theta)
\end{array}

so.. check coefficients C and B for the horizontal shift
7 0
4 years ago
Read 2 more answers
Put this equation, x^3-x^6+x^8-5 in standard form.
fiasKO [112]

Answer:

x^8-x^6+x^3-5

Step-by-step explanation:

The top exponent goes before

7 0
3 years ago
Marcos and Adelyn are comparing the amount of lunch money they spent this week. They spent $45 together on lunches. Marcos spent
sladkih [1.3K]

Answer:

B. $25.50

Step-by-step explanation:

On this question you have to subtract 6 dollars from one of the answers and add that same amount back on because that would equal the total amount of lunch money. A wouldn't work because 31.50-6+31.50 is over 45 dollars. When you have 25.50-6+25.50 you get 45!

7 0
4 years ago
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Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that
vivado [14]
The Profit = Revenue - CostP ( x ) = ( 40 x - 0.5 x² ) - ( 5 x + 15 ) = = 40 x - 0.5 x² - 5 x - 15 = - 0.5 x² + 35 x - 15The maximum profit is when: P`( x ) = 0P ` ( x ) = ( - 0.5 x² + 35 x - 15 ) ` = - x + 35- x + 35 = 0x = 35 ( the number of units )P max = - 0.5 · 35² + 35 · 35 - 15 = - 612.5 + 1225 - 15 = 597.5Answer: The maximum profit is 597.5 and the number of units is 35.

7 0
3 years ago
What are the solutions of the equation x^2-1=15
MrRa [10]

Answer: x = +4 or -4

Step-by-step explanation:

x² - 1 = 15

x² = 15 + 1

x² = 16

Therefore, to solve for x we take the square root of both side

√x² = +/-√16

x² = +/-4

so, x = +4 or -4

7 0
4 years ago
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